14.88/6.07	YES
17.15/6.65	proof of /export/starexec/sandbox/benchmark/theBenchmark.hs
17.15/6.65	# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty
17.15/6.65	
17.15/6.65	
17.15/6.65	H-Termination with start terms of the given HASKELL could be proven:
17.15/6.65	
17.15/6.65	(0) HASKELL
17.15/6.65	(1) IFR [EQUIVALENT, 0 ms]
17.15/6.65	(2) HASKELL
17.15/6.65	(3) BR [EQUIVALENT, 0 ms]
17.15/6.65	(4) HASKELL
17.15/6.65	(5) COR [EQUIVALENT, 13 ms]
17.15/6.65	(6) HASKELL
17.15/6.65	(7) Narrow [SOUND, 0 ms]
17.15/6.65	(8) AND
17.15/6.65	    (9) QDP
17.15/6.65	        (10) QDPSizeChangeProof [EQUIVALENT, 0 ms]
17.15/6.65	        (11) YES
17.15/6.65	    (12) QDP
17.15/6.65	        (13) QDPSizeChangeProof [EQUIVALENT, 0 ms]
17.15/6.65	        (14) YES
17.15/6.65	    (15) QDP
17.15/6.65	        (16) QDPSizeChangeProof [EQUIVALENT, 0 ms]
17.15/6.65	        (17) YES
17.15/6.65	    (18) QDP
17.15/6.65	        (19) QDPSizeChangeProof [EQUIVALENT, 2 ms]
17.15/6.65	        (20) YES
17.15/6.65	    (21) QDP
17.15/6.65	        (22) QDPSizeChangeProof [EQUIVALENT, 0 ms]
17.15/6.65	        (23) YES
17.15/6.65	    (24) QDP
17.15/6.65	        (25) QDPSizeChangeProof [EQUIVALENT, 0 ms]
17.15/6.65	        (26) YES
17.15/6.65	
17.15/6.65	
17.15/6.65	----------------------------------------
17.15/6.65	
17.15/6.65	(0)
17.15/6.65	Obligation:
17.15/6.65	mainModule Main 
17.15/6.65	module Maybe where {
17.15/6.65	import qualified List;
17.15/6.65	import qualified Main;
17.15/6.65	import qualified Prelude;
17.15/6.65	}
17.15/6.65	module List where {
17.15/6.65	import qualified Main;
17.15/6.65	import qualified Maybe;
17.15/6.65	import qualified Prelude;
17.15/6.65	infix 5 \\;
17.15/6.65	(\\) :: Eq a => [a]  ->  [a]  ->  [a];
17.15/6.65	(\\) = foldl (flip delete);
17.15/6.65	
17.15/6.65	delete :: Eq a => a  ->  [a]  ->  [a];
17.15/6.65	delete = deleteBy (==);
17.15/6.65	
17.15/6.65	deleteBy :: (a  ->  a  ->  Bool)  ->  a  ->  [a]  ->  [a];
17.15/6.65	deleteBy _ _ [] = [];
17.15/6.65	deleteBy eq x (y : ys) =  if x `eq` y then ys else y : deleteBy eq x ys;
17.15/6.65	
17.15/6.65	}
17.15/6.65	module Main where {
17.15/6.65	import qualified List;
17.15/6.65	import qualified Maybe;
17.15/6.65	import qualified Prelude;
17.15/6.65	}
17.15/6.65	
17.15/6.65	----------------------------------------
17.15/6.65	
17.15/6.65	(1) IFR (EQUIVALENT)
17.15/6.65	If Reductions:
17.15/6.65	The following If expression
17.15/6.65	"if eq x y then ys else y : deleteBy eq x ys"
17.15/6.65	is transformed to
17.15/6.65	"deleteBy0 ys y eq x True = ys;
17.15/6.65	deleteBy0 ys y eq x False = y : deleteBy eq x ys;
17.15/6.65	"
17.15/6.65	
17.15/6.65	----------------------------------------
17.15/6.65	
17.15/6.65	(2)
17.15/6.65	Obligation:
17.15/6.65	mainModule Main 
17.15/6.65	module Maybe where {
17.15/6.65	import qualified List;
17.15/6.65	import qualified Main;
17.15/6.65	import qualified Prelude;
17.15/6.65	}
17.15/6.65	module List where {
17.15/6.65	import qualified Main;
17.15/6.65	import qualified Maybe;
17.15/6.65	import qualified Prelude;
17.15/6.65	infix 5 \\;
17.15/6.65	(\\) :: Eq a => [a]  ->  [a]  ->  [a];
17.15/6.65	(\\) = foldl (flip delete);
17.15/6.65	
17.15/6.65	delete :: Eq a => a  ->  [a]  ->  [a];
17.15/6.65	delete = deleteBy (==);
17.15/6.65	
17.15/6.65	deleteBy :: (a  ->  a  ->  Bool)  ->  a  ->  [a]  ->  [a];
17.15/6.65	deleteBy _ _ [] = [];
17.15/6.65	deleteBy eq x (y : ys) = deleteBy0 ys y eq x (x `eq` y);
17.15/6.65	
17.15/6.65	deleteBy0 ys y eq x True = ys;
17.15/6.65	deleteBy0 ys y eq x False = y : deleteBy eq x ys;
17.15/6.65	
17.15/6.65	}
17.15/6.65	module Main where {
17.15/6.65	import qualified List;
17.15/6.65	import qualified Maybe;
17.15/6.65	import qualified Prelude;
17.15/6.65	}
17.15/6.65	
17.15/6.65	----------------------------------------
17.15/6.65	
17.15/6.65	(3) BR (EQUIVALENT)
17.15/6.65	Replaced joker patterns by fresh variables and removed binding patterns.
17.15/6.65	----------------------------------------
17.15/6.65	
17.15/6.65	(4)
17.15/6.65	Obligation:
17.15/6.65	mainModule Main 
17.15/6.65	module Maybe where {
17.15/6.65	import qualified List;
17.15/6.65	import qualified Main;
17.15/6.65	import qualified Prelude;
17.15/6.65	}
17.15/6.65	module List where {
17.15/6.65	import qualified Main;
17.15/6.65	import qualified Maybe;
17.15/6.65	import qualified Prelude;
17.15/6.65	infix 5 \\;
17.15/6.65	(\\) :: Eq a => [a]  ->  [a]  ->  [a];
17.15/6.65	(\\) = foldl (flip delete);
17.15/6.65	
17.15/6.65	delete :: Eq a => a  ->  [a]  ->  [a];
17.15/6.65	delete = deleteBy (==);
17.15/6.65	
17.15/6.65	deleteBy :: (a  ->  a  ->  Bool)  ->  a  ->  [a]  ->  [a];
17.15/6.65	deleteBy xw xx [] = [];
17.15/6.65	deleteBy eq x (y : ys) = deleteBy0 ys y eq x (x `eq` y);
17.15/6.65	
17.15/6.65	deleteBy0 ys y eq x True = ys;
17.15/6.65	deleteBy0 ys y eq x False = y : deleteBy eq x ys;
17.15/6.65	
17.15/6.65	}
17.15/6.65	module Main where {
17.15/6.65	import qualified List;
17.15/6.65	import qualified Maybe;
17.15/6.65	import qualified Prelude;
17.15/6.65	}
17.15/6.65	
17.15/6.65	----------------------------------------
17.15/6.65	
17.15/6.65	(5) COR (EQUIVALENT)
17.15/6.65	Cond Reductions:
17.15/6.65	The following Function with conditions
17.15/6.65	"undefined |Falseundefined;
17.15/6.65	"
17.15/6.65	is transformed to
17.15/6.65	"undefined  = undefined1;
17.15/6.65	"
17.15/6.65	"undefined0 True = undefined;
17.15/6.65	"
17.15/6.65	"undefined1  = undefined0 False;
17.15/6.65	"
17.15/6.65	
17.15/6.65	----------------------------------------
17.15/6.65	
17.15/6.65	(6)
17.15/6.65	Obligation:
17.15/6.65	mainModule Main 
17.15/6.65	module Maybe where {
17.15/6.65	import qualified List;
17.15/6.65	import qualified Main;
17.15/6.65	import qualified Prelude;
17.15/6.65	}
17.15/6.65	module List where {
17.15/6.65	import qualified Main;
17.15/6.65	import qualified Maybe;
17.15/6.65	import qualified Prelude;
17.15/6.65	infix 5 \\;
17.15/6.65	(\\) :: Eq a => [a]  ->  [a]  ->  [a];
17.15/6.65	(\\) = foldl (flip delete);
17.15/6.65	
17.15/6.65	delete :: Eq a => a  ->  [a]  ->  [a];
17.15/6.65	delete = deleteBy (==);
17.15/6.65	
17.15/6.65	deleteBy :: (a  ->  a  ->  Bool)  ->  a  ->  [a]  ->  [a];
17.15/6.65	deleteBy xw xx [] = [];
17.15/6.65	deleteBy eq x (y : ys) = deleteBy0 ys y eq x (x `eq` y);
17.15/6.65	
17.15/6.65	deleteBy0 ys y eq x True = ys;
17.15/6.65	deleteBy0 ys y eq x False = y : deleteBy eq x ys;
17.15/6.65	
17.15/6.65	}
17.15/6.65	module Main where {
17.15/6.65	import qualified List;
17.15/6.65	import qualified Maybe;
17.15/6.65	import qualified Prelude;
17.15/6.65	}
17.15/6.65	
17.15/6.65	----------------------------------------
17.15/6.65	
17.15/6.65	(7) Narrow (SOUND)
17.15/6.65	Haskell To QDPs
17.15/6.65	
17.15/6.65	digraph dp_graph {
17.15/6.65	node [outthreshold=100, inthreshold=100];1[label="(List.\\)",fontsize=16,color="grey",shape="box"];1 -> 3[label="",style="dashed", color="grey", weight=3];
17.15/6.65	3[label="xy3 (List.\\)",fontsize=16,color="grey",shape="box"];3 -> 4[label="",style="dashed", color="grey", weight=3];
17.15/6.65	4[label="xy3 (List.\\) xy4",fontsize=16,color="black",shape="triangle"];4 -> 5[label="",style="solid", color="black", weight=3];
17.15/6.65	5[label="foldl (flip List.delete) xy3 xy4",fontsize=16,color="burlywood",shape="triangle"];994[label="xy4/xy40 : xy41",fontsize=10,color="white",style="solid",shape="box"];5 -> 994[label="",style="solid", color="burlywood", weight=9];
17.15/6.65	994 -> 6[label="",style="solid", color="burlywood", weight=3];
17.15/6.65	995[label="xy4/[]",fontsize=10,color="white",style="solid",shape="box"];5 -> 995[label="",style="solid", color="burlywood", weight=9];
17.15/6.65	995 -> 7[label="",style="solid", color="burlywood", weight=3];
17.15/6.65	6[label="foldl (flip List.delete) xy3 (xy40 : xy41)",fontsize=16,color="black",shape="box"];6 -> 8[label="",style="solid", color="black", weight=3];
17.15/6.65	7[label="foldl (flip List.delete) xy3 []",fontsize=16,color="black",shape="box"];7 -> 9[label="",style="solid", color="black", weight=3];
17.15/6.65	8 -> 5[label="",style="dashed", color="red", weight=0];
17.15/6.65	8[label="foldl (flip List.delete) (flip List.delete xy3 xy40) xy41",fontsize=16,color="magenta"];8 -> 10[label="",style="dashed", color="magenta", weight=3];
17.15/6.65	8 -> 11[label="",style="dashed", color="magenta", weight=3];
17.15/6.65	9[label="xy3",fontsize=16,color="green",shape="box"];10[label="xy41",fontsize=16,color="green",shape="box"];11[label="flip List.delete xy3 xy40",fontsize=16,color="black",shape="box"];11 -> 12[label="",style="solid", color="black", weight=3];
17.15/6.65	12[label="List.delete xy40 xy3",fontsize=16,color="black",shape="box"];12 -> 13[label="",style="solid", color="black", weight=3];
17.15/6.65	13[label="List.deleteBy (==) xy40 xy3",fontsize=16,color="burlywood",shape="triangle"];996[label="xy3/xy30 : xy31",fontsize=10,color="white",style="solid",shape="box"];13 -> 996[label="",style="solid", color="burlywood", weight=9];
17.15/6.65	996 -> 14[label="",style="solid", color="burlywood", weight=3];
17.15/6.65	997[label="xy3/[]",fontsize=10,color="white",style="solid",shape="box"];13 -> 997[label="",style="solid", color="burlywood", weight=9];
17.15/6.65	997 -> 15[label="",style="solid", color="burlywood", weight=3];
17.15/6.65	14[label="List.deleteBy (==) xy40 (xy30 : xy31)",fontsize=16,color="black",shape="box"];14 -> 16[label="",style="solid", color="black", weight=3];
17.15/6.65	15[label="List.deleteBy (==) xy40 []",fontsize=16,color="black",shape="box"];15 -> 17[label="",style="solid", color="black", weight=3];
17.15/6.65	16[label="List.deleteBy0 xy31 xy30 (==) xy40 ((==) xy40 xy30)",fontsize=16,color="burlywood",shape="box"];998[label="xy40/(xy400,xy401)",fontsize=10,color="white",style="solid",shape="box"];16 -> 998[label="",style="solid", color="burlywood", weight=9];
17.15/6.65	998 -> 18[label="",style="solid", color="burlywood", weight=3];
17.15/6.65	17[label="[]",fontsize=16,color="green",shape="box"];18[label="List.deleteBy0 xy31 xy30 (==) (xy400,xy401) ((==) (xy400,xy401) xy30)",fontsize=16,color="burlywood",shape="box"];999[label="xy30/(xy300,xy301)",fontsize=10,color="white",style="solid",shape="box"];18 -> 999[label="",style="solid", color="burlywood", weight=9];
17.15/6.65	999 -> 19[label="",style="solid", color="burlywood", weight=3];
17.15/6.65	19[label="List.deleteBy0 xy31 (xy300,xy301) (==) (xy400,xy401) ((==) (xy400,xy401) (xy300,xy301))",fontsize=16,color="black",shape="box"];19 -> 20[label="",style="solid", color="black", weight=3];
17.15/6.65	20 -> 102[label="",style="dashed", color="red", weight=0];
17.15/6.65	20[label="List.deleteBy0 xy31 (xy300,xy301) (==) (xy400,xy401) (xy400 == xy300 && xy401 == xy301)",fontsize=16,color="magenta"];20 -> 103[label="",style="dashed", color="magenta", weight=3];
17.15/6.65	20 -> 104[label="",style="dashed", color="magenta", weight=3];
17.15/6.65	20 -> 105[label="",style="dashed", color="magenta", weight=3];
17.15/6.65	20 -> 106[label="",style="dashed", color="magenta", weight=3];
17.15/6.65	20 -> 107[label="",style="dashed", color="magenta", weight=3];
17.15/6.65	20 -> 108[label="",style="dashed", color="magenta", weight=3];
17.15/6.65	103[label="xy401",fontsize=16,color="green",shape="box"];104[label="xy31",fontsize=16,color="green",shape="box"];105[label="xy301",fontsize=16,color="green",shape="box"];106 -> 319[label="",style="dashed", color="red", weight=0];
17.15/6.65	106[label="xy400 == xy300 && xy401 == xy301",fontsize=16,color="magenta"];106 -> 320[label="",style="dashed", color="magenta", weight=3];
17.15/6.65	106 -> 321[label="",style="dashed", color="magenta", weight=3];
17.15/6.65	107[label="xy300",fontsize=16,color="green",shape="box"];108[label="xy400",fontsize=16,color="green",shape="box"];102[label="List.deleteBy0 xy25 (xy26,xy27) (==) (xy28,xy29) xy30",fontsize=16,color="burlywood",shape="triangle"];1000[label="xy30/False",fontsize=10,color="white",style="solid",shape="box"];102 -> 1000[label="",style="solid", color="burlywood", weight=9];
17.15/6.65	1000 -> 131[label="",style="solid", color="burlywood", weight=3];
17.15/6.65	1001[label="xy30/True",fontsize=10,color="white",style="solid",shape="box"];102 -> 1001[label="",style="solid", color="burlywood", weight=9];
17.15/6.65	1001 -> 132[label="",style="solid", color="burlywood", weight=3];
17.15/6.65	320[label="xy401 == xy301",fontsize=16,color="blue",shape="box"];1002[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];320 -> 1002[label="",style="solid", color="blue", weight=9];
17.15/6.65	1002 -> 324[label="",style="solid", color="blue", weight=3];
17.15/6.65	1003[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];320 -> 1003[label="",style="solid", color="blue", weight=9];
17.15/6.65	1003 -> 325[label="",style="solid", color="blue", weight=3];
17.15/6.65	1004[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];320 -> 1004[label="",style="solid", color="blue", weight=9];
17.15/6.65	1004 -> 326[label="",style="solid", color="blue", weight=3];
17.15/6.65	1005[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];320 -> 1005[label="",style="solid", color="blue", weight=9];
17.15/6.65	1005 -> 327[label="",style="solid", color="blue", weight=3];
17.15/6.65	1006[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];320 -> 1006[label="",style="solid", color="blue", weight=9];
17.15/6.65	1006 -> 328[label="",style="solid", color="blue", weight=3];
17.15/6.65	1007[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];320 -> 1007[label="",style="solid", color="blue", weight=9];
17.15/6.65	1007 -> 329[label="",style="solid", color="blue", weight=3];
17.15/6.65	1008[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];320 -> 1008[label="",style="solid", color="blue", weight=9];
17.15/6.65	1008 -> 330[label="",style="solid", color="blue", weight=3];
17.15/6.65	1009[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];320 -> 1009[label="",style="solid", color="blue", weight=9];
17.15/6.65	1009 -> 331[label="",style="solid", color="blue", weight=3];
17.15/6.65	1010[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];320 -> 1010[label="",style="solid", color="blue", weight=9];
17.15/6.65	1010 -> 332[label="",style="solid", color="blue", weight=3];
17.15/6.65	1011[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];320 -> 1011[label="",style="solid", color="blue", weight=9];
17.15/6.65	1011 -> 333[label="",style="solid", color="blue", weight=3];
17.15/6.65	1012[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];320 -> 1012[label="",style="solid", color="blue", weight=9];
17.15/6.65	1012 -> 334[label="",style="solid", color="blue", weight=3];
17.15/6.65	1013[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];320 -> 1013[label="",style="solid", color="blue", weight=9];
17.15/6.65	1013 -> 335[label="",style="solid", color="blue", weight=3];
17.15/6.65	1014[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];320 -> 1014[label="",style="solid", color="blue", weight=9];
17.15/6.65	1014 -> 336[label="",style="solid", color="blue", weight=3];
17.15/6.65	1015[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];320 -> 1015[label="",style="solid", color="blue", weight=9];
17.15/6.65	1015 -> 337[label="",style="solid", color="blue", weight=3];
17.15/6.65	321[label="xy400 == xy300",fontsize=16,color="blue",shape="box"];1016[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];321 -> 1016[label="",style="solid", color="blue", weight=9];
17.15/6.65	1016 -> 338[label="",style="solid", color="blue", weight=3];
17.15/6.65	1017[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];321 -> 1017[label="",style="solid", color="blue", weight=9];
17.15/6.65	1017 -> 339[label="",style="solid", color="blue", weight=3];
17.15/6.65	1018[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];321 -> 1018[label="",style="solid", color="blue", weight=9];
17.15/6.65	1018 -> 340[label="",style="solid", color="blue", weight=3];
17.15/6.65	1019[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];321 -> 1019[label="",style="solid", color="blue", weight=9];
17.15/6.65	1019 -> 341[label="",style="solid", color="blue", weight=3];
17.15/6.65	1020[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];321 -> 1020[label="",style="solid", color="blue", weight=9];
17.15/6.65	1020 -> 342[label="",style="solid", color="blue", weight=3];
17.15/6.65	1021[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];321 -> 1021[label="",style="solid", color="blue", weight=9];
17.15/6.65	1021 -> 343[label="",style="solid", color="blue", weight=3];
17.15/6.65	1022[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];321 -> 1022[label="",style="solid", color="blue", weight=9];
17.15/6.65	1022 -> 344[label="",style="solid", color="blue", weight=3];
17.15/6.65	1023[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];321 -> 1023[label="",style="solid", color="blue", weight=9];
17.15/6.65	1023 -> 345[label="",style="solid", color="blue", weight=3];
17.15/6.65	1024[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];321 -> 1024[label="",style="solid", color="blue", weight=9];
17.15/6.65	1024 -> 346[label="",style="solid", color="blue", weight=3];
17.15/6.65	1025[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];321 -> 1025[label="",style="solid", color="blue", weight=9];
17.15/6.65	1025 -> 347[label="",style="solid", color="blue", weight=3];
17.15/6.65	1026[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];321 -> 1026[label="",style="solid", color="blue", weight=9];
17.15/6.65	1026 -> 348[label="",style="solid", color="blue", weight=3];
17.15/6.65	1027[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];321 -> 1027[label="",style="solid", color="blue", weight=9];
17.15/6.65	1027 -> 349[label="",style="solid", color="blue", weight=3];
17.15/6.65	1028[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];321 -> 1028[label="",style="solid", color="blue", weight=9];
17.15/6.65	1028 -> 350[label="",style="solid", color="blue", weight=3];
17.15/6.65	1029[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];321 -> 1029[label="",style="solid", color="blue", weight=9];
17.15/6.65	1029 -> 351[label="",style="solid", color="blue", weight=3];
17.15/6.65	319[label="xy42 && xy43",fontsize=16,color="burlywood",shape="triangle"];1030[label="xy42/False",fontsize=10,color="white",style="solid",shape="box"];319 -> 1030[label="",style="solid", color="burlywood", weight=9];
17.15/6.65	1030 -> 352[label="",style="solid", color="burlywood", weight=3];
17.15/6.65	1031[label="xy42/True",fontsize=10,color="white",style="solid",shape="box"];319 -> 1031[label="",style="solid", color="burlywood", weight=9];
17.15/6.65	1031 -> 353[label="",style="solid", color="burlywood", weight=3];
17.15/6.65	131[label="List.deleteBy0 xy25 (xy26,xy27) (==) (xy28,xy29) False",fontsize=16,color="black",shape="box"];131 -> 149[label="",style="solid", color="black", weight=3];
17.15/6.65	132[label="List.deleteBy0 xy25 (xy26,xy27) (==) (xy28,xy29) True",fontsize=16,color="black",shape="box"];132 -> 150[label="",style="solid", color="black", weight=3];
17.15/6.65	324[label="xy401 == xy301",fontsize=16,color="black",shape="triangle"];324 -> 354[label="",style="solid", color="black", weight=3];
17.15/6.65	325[label="xy401 == xy301",fontsize=16,color="burlywood",shape="triangle"];1032[label="xy401/(xy4010,xy4011,xy4012)",fontsize=10,color="white",style="solid",shape="box"];325 -> 1032[label="",style="solid", color="burlywood", weight=9];
17.15/6.65	1032 -> 355[label="",style="solid", color="burlywood", weight=3];
17.15/6.65	326[label="xy401 == xy301",fontsize=16,color="burlywood",shape="triangle"];1033[label="xy401/Left xy4010",fontsize=10,color="white",style="solid",shape="box"];326 -> 1033[label="",style="solid", color="burlywood", weight=9];
17.15/6.65	1033 -> 356[label="",style="solid", color="burlywood", weight=3];
17.15/6.65	1034[label="xy401/Right xy4010",fontsize=10,color="white",style="solid",shape="box"];326 -> 1034[label="",style="solid", color="burlywood", weight=9];
17.15/6.65	1034 -> 357[label="",style="solid", color="burlywood", weight=3];
17.15/6.65	327[label="xy401 == xy301",fontsize=16,color="burlywood",shape="triangle"];1035[label="xy401/False",fontsize=10,color="white",style="solid",shape="box"];327 -> 1035[label="",style="solid", color="burlywood", weight=9];
17.15/6.65	1035 -> 358[label="",style="solid", color="burlywood", weight=3];
17.15/6.65	1036[label="xy401/True",fontsize=10,color="white",style="solid",shape="box"];327 -> 1036[label="",style="solid", color="burlywood", weight=9];
17.15/6.65	1036 -> 359[label="",style="solid", color="burlywood", weight=3];
17.15/6.65	328[label="xy401 == xy301",fontsize=16,color="black",shape="triangle"];328 -> 360[label="",style="solid", color="black", weight=3];
17.15/6.65	329[label="xy401 == xy301",fontsize=16,color="burlywood",shape="triangle"];1037[label="xy401/Nothing",fontsize=10,color="white",style="solid",shape="box"];329 -> 1037[label="",style="solid", color="burlywood", weight=9];
17.15/6.65	1037 -> 361[label="",style="solid", color="burlywood", weight=3];
17.15/6.65	1038[label="xy401/Just xy4010",fontsize=10,color="white",style="solid",shape="box"];329 -> 1038[label="",style="solid", color="burlywood", weight=9];
17.15/6.65	1038 -> 362[label="",style="solid", color="burlywood", weight=3];
17.15/6.65	330[label="xy401 == xy301",fontsize=16,color="burlywood",shape="triangle"];1039[label="xy401/xy4010 :% xy4011",fontsize=10,color="white",style="solid",shape="box"];330 -> 1039[label="",style="solid", color="burlywood", weight=9];
17.15/6.65	1039 -> 363[label="",style="solid", color="burlywood", weight=3];
17.15/6.65	331[label="xy401 == xy301",fontsize=16,color="burlywood",shape="triangle"];1040[label="xy401/(xy4010,xy4011)",fontsize=10,color="white",style="solid",shape="box"];331 -> 1040[label="",style="solid", color="burlywood", weight=9];
17.15/6.65	1040 -> 364[label="",style="solid", color="burlywood", weight=3];
17.15/6.65	332[label="xy401 == xy301",fontsize=16,color="burlywood",shape="triangle"];1041[label="xy401/()",fontsize=10,color="white",style="solid",shape="box"];332 -> 1041[label="",style="solid", color="burlywood", weight=9];
17.15/6.65	1041 -> 365[label="",style="solid", color="burlywood", weight=3];
17.15/6.65	333[label="xy401 == xy301",fontsize=16,color="black",shape="triangle"];333 -> 366[label="",style="solid", color="black", weight=3];
17.15/6.65	334[label="xy401 == xy301",fontsize=16,color="burlywood",shape="triangle"];1042[label="xy401/xy4010 : xy4011",fontsize=10,color="white",style="solid",shape="box"];334 -> 1042[label="",style="solid", color="burlywood", weight=9];
17.15/6.65	1042 -> 367[label="",style="solid", color="burlywood", weight=3];
17.15/6.65	1043[label="xy401/[]",fontsize=10,color="white",style="solid",shape="box"];334 -> 1043[label="",style="solid", color="burlywood", weight=9];
17.15/6.65	1043 -> 368[label="",style="solid", color="burlywood", weight=3];
17.15/6.65	335[label="xy401 == xy301",fontsize=16,color="black",shape="triangle"];335 -> 369[label="",style="solid", color="black", weight=3];
17.15/6.65	336[label="xy401 == xy301",fontsize=16,color="burlywood",shape="triangle"];1044[label="xy401/LT",fontsize=10,color="white",style="solid",shape="box"];336 -> 1044[label="",style="solid", color="burlywood", weight=9];
17.15/6.65	1044 -> 370[label="",style="solid", color="burlywood", weight=3];
17.15/6.65	1045[label="xy401/EQ",fontsize=10,color="white",style="solid",shape="box"];336 -> 1045[label="",style="solid", color="burlywood", weight=9];
17.15/6.65	1045 -> 371[label="",style="solid", color="burlywood", weight=3];
17.15/6.65	1046[label="xy401/GT",fontsize=10,color="white",style="solid",shape="box"];336 -> 1046[label="",style="solid", color="burlywood", weight=9];
17.15/6.65	1046 -> 372[label="",style="solid", color="burlywood", weight=3];
17.15/6.65	337[label="xy401 == xy301",fontsize=16,color="burlywood",shape="triangle"];1047[label="xy401/Integer xy4010",fontsize=10,color="white",style="solid",shape="box"];337 -> 1047[label="",style="solid", color="burlywood", weight=9];
17.15/6.65	1047 -> 373[label="",style="solid", color="burlywood", weight=3];
17.15/6.65	338 -> 324[label="",style="dashed", color="red", weight=0];
17.15/6.65	338[label="xy400 == xy300",fontsize=16,color="magenta"];338 -> 374[label="",style="dashed", color="magenta", weight=3];
17.15/6.65	338 -> 375[label="",style="dashed", color="magenta", weight=3];
17.15/6.65	339 -> 325[label="",style="dashed", color="red", weight=0];
17.15/6.65	339[label="xy400 == xy300",fontsize=16,color="magenta"];339 -> 376[label="",style="dashed", color="magenta", weight=3];
17.15/6.65	339 -> 377[label="",style="dashed", color="magenta", weight=3];
17.15/6.65	340 -> 326[label="",style="dashed", color="red", weight=0];
17.15/6.65	340[label="xy400 == xy300",fontsize=16,color="magenta"];340 -> 378[label="",style="dashed", color="magenta", weight=3];
17.15/6.65	340 -> 379[label="",style="dashed", color="magenta", weight=3];
17.15/6.65	341 -> 327[label="",style="dashed", color="red", weight=0];
17.15/6.65	341[label="xy400 == xy300",fontsize=16,color="magenta"];341 -> 380[label="",style="dashed", color="magenta", weight=3];
17.15/6.65	341 -> 381[label="",style="dashed", color="magenta", weight=3];
17.15/6.65	342 -> 328[label="",style="dashed", color="red", weight=0];
17.15/6.65	342[label="xy400 == xy300",fontsize=16,color="magenta"];342 -> 382[label="",style="dashed", color="magenta", weight=3];
17.15/6.65	342 -> 383[label="",style="dashed", color="magenta", weight=3];
17.15/6.65	343 -> 329[label="",style="dashed", color="red", weight=0];
17.15/6.65	343[label="xy400 == xy300",fontsize=16,color="magenta"];343 -> 384[label="",style="dashed", color="magenta", weight=3];
17.15/6.65	343 -> 385[label="",style="dashed", color="magenta", weight=3];
17.15/6.65	344 -> 330[label="",style="dashed", color="red", weight=0];
17.15/6.65	344[label="xy400 == xy300",fontsize=16,color="magenta"];344 -> 386[label="",style="dashed", color="magenta", weight=3];
17.15/6.65	344 -> 387[label="",style="dashed", color="magenta", weight=3];
17.15/6.65	345 -> 331[label="",style="dashed", color="red", weight=0];
17.15/6.65	345[label="xy400 == xy300",fontsize=16,color="magenta"];345 -> 388[label="",style="dashed", color="magenta", weight=3];
17.15/6.65	345 -> 389[label="",style="dashed", color="magenta", weight=3];
17.15/6.65	346 -> 332[label="",style="dashed", color="red", weight=0];
17.15/6.65	346[label="xy400 == xy300",fontsize=16,color="magenta"];346 -> 390[label="",style="dashed", color="magenta", weight=3];
17.15/6.65	346 -> 391[label="",style="dashed", color="magenta", weight=3];
17.15/6.65	347 -> 333[label="",style="dashed", color="red", weight=0];
17.15/6.65	347[label="xy400 == xy300",fontsize=16,color="magenta"];347 -> 392[label="",style="dashed", color="magenta", weight=3];
17.15/6.65	347 -> 393[label="",style="dashed", color="magenta", weight=3];
17.15/6.65	348 -> 334[label="",style="dashed", color="red", weight=0];
17.15/6.65	348[label="xy400 == xy300",fontsize=16,color="magenta"];348 -> 394[label="",style="dashed", color="magenta", weight=3];
17.15/6.65	348 -> 395[label="",style="dashed", color="magenta", weight=3];
17.15/6.65	349 -> 335[label="",style="dashed", color="red", weight=0];
17.15/6.65	349[label="xy400 == xy300",fontsize=16,color="magenta"];349 -> 396[label="",style="dashed", color="magenta", weight=3];
17.15/6.65	349 -> 397[label="",style="dashed", color="magenta", weight=3];
17.15/6.65	350 -> 336[label="",style="dashed", color="red", weight=0];
17.15/6.65	350[label="xy400 == xy300",fontsize=16,color="magenta"];350 -> 398[label="",style="dashed", color="magenta", weight=3];
17.15/6.65	350 -> 399[label="",style="dashed", color="magenta", weight=3];
17.15/6.65	351 -> 337[label="",style="dashed", color="red", weight=0];
17.15/6.65	351[label="xy400 == xy300",fontsize=16,color="magenta"];351 -> 400[label="",style="dashed", color="magenta", weight=3];
17.15/6.65	351 -> 401[label="",style="dashed", color="magenta", weight=3];
17.15/6.65	352[label="False && xy43",fontsize=16,color="black",shape="box"];352 -> 402[label="",style="solid", color="black", weight=3];
17.15/6.65	353[label="True && xy43",fontsize=16,color="black",shape="box"];353 -> 403[label="",style="solid", color="black", weight=3];
17.15/6.65	149[label="(xy26,xy27) : List.deleteBy (==) (xy28,xy29) xy25",fontsize=16,color="green",shape="box"];149 -> 173[label="",style="dashed", color="green", weight=3];
17.15/6.65	150[label="xy25",fontsize=16,color="green",shape="box"];354[label="primEqChar xy401 xy301",fontsize=16,color="burlywood",shape="box"];1048[label="xy401/Char xy4010",fontsize=10,color="white",style="solid",shape="box"];354 -> 1048[label="",style="solid", color="burlywood", weight=9];
17.15/6.65	1048 -> 404[label="",style="solid", color="burlywood", weight=3];
17.15/6.65	355[label="(xy4010,xy4011,xy4012) == xy301",fontsize=16,color="burlywood",shape="box"];1049[label="xy301/(xy3010,xy3011,xy3012)",fontsize=10,color="white",style="solid",shape="box"];355 -> 1049[label="",style="solid", color="burlywood", weight=9];
17.15/6.65	1049 -> 405[label="",style="solid", color="burlywood", weight=3];
17.15/6.65	356[label="Left xy4010 == xy301",fontsize=16,color="burlywood",shape="box"];1050[label="xy301/Left xy3010",fontsize=10,color="white",style="solid",shape="box"];356 -> 1050[label="",style="solid", color="burlywood", weight=9];
17.15/6.65	1050 -> 406[label="",style="solid", color="burlywood", weight=3];
17.15/6.65	1051[label="xy301/Right xy3010",fontsize=10,color="white",style="solid",shape="box"];356 -> 1051[label="",style="solid", color="burlywood", weight=9];
17.15/6.65	1051 -> 407[label="",style="solid", color="burlywood", weight=3];
17.15/6.65	357[label="Right xy4010 == xy301",fontsize=16,color="burlywood",shape="box"];1052[label="xy301/Left xy3010",fontsize=10,color="white",style="solid",shape="box"];357 -> 1052[label="",style="solid", color="burlywood", weight=9];
17.15/6.65	1052 -> 408[label="",style="solid", color="burlywood", weight=3];
17.15/6.65	1053[label="xy301/Right xy3010",fontsize=10,color="white",style="solid",shape="box"];357 -> 1053[label="",style="solid", color="burlywood", weight=9];
17.15/6.65	1053 -> 409[label="",style="solid", color="burlywood", weight=3];
17.15/6.65	358[label="False == xy301",fontsize=16,color="burlywood",shape="box"];1054[label="xy301/False",fontsize=10,color="white",style="solid",shape="box"];358 -> 1054[label="",style="solid", color="burlywood", weight=9];
17.15/6.65	1054 -> 410[label="",style="solid", color="burlywood", weight=3];
17.15/6.65	1055[label="xy301/True",fontsize=10,color="white",style="solid",shape="box"];358 -> 1055[label="",style="solid", color="burlywood", weight=9];
17.15/6.65	1055 -> 411[label="",style="solid", color="burlywood", weight=3];
17.15/6.65	359[label="True == xy301",fontsize=16,color="burlywood",shape="box"];1056[label="xy301/False",fontsize=10,color="white",style="solid",shape="box"];359 -> 1056[label="",style="solid", color="burlywood", weight=9];
17.15/6.65	1056 -> 412[label="",style="solid", color="burlywood", weight=3];
17.15/6.65	1057[label="xy301/True",fontsize=10,color="white",style="solid",shape="box"];359 -> 1057[label="",style="solid", color="burlywood", weight=9];
17.15/6.65	1057 -> 413[label="",style="solid", color="burlywood", weight=3];
17.15/6.65	360[label="primEqInt xy401 xy301",fontsize=16,color="burlywood",shape="triangle"];1058[label="xy401/Pos xy4010",fontsize=10,color="white",style="solid",shape="box"];360 -> 1058[label="",style="solid", color="burlywood", weight=9];
17.15/6.65	1058 -> 414[label="",style="solid", color="burlywood", weight=3];
17.15/6.65	1059[label="xy401/Neg xy4010",fontsize=10,color="white",style="solid",shape="box"];360 -> 1059[label="",style="solid", color="burlywood", weight=9];
17.15/6.65	1059 -> 415[label="",style="solid", color="burlywood", weight=3];
17.15/6.65	361[label="Nothing == xy301",fontsize=16,color="burlywood",shape="box"];1060[label="xy301/Nothing",fontsize=10,color="white",style="solid",shape="box"];361 -> 1060[label="",style="solid", color="burlywood", weight=9];
17.15/6.65	1060 -> 416[label="",style="solid", color="burlywood", weight=3];
17.15/6.65	1061[label="xy301/Just xy3010",fontsize=10,color="white",style="solid",shape="box"];361 -> 1061[label="",style="solid", color="burlywood", weight=9];
17.15/6.65	1061 -> 417[label="",style="solid", color="burlywood", weight=3];
17.15/6.65	362[label="Just xy4010 == xy301",fontsize=16,color="burlywood",shape="box"];1062[label="xy301/Nothing",fontsize=10,color="white",style="solid",shape="box"];362 -> 1062[label="",style="solid", color="burlywood", weight=9];
17.15/6.65	1062 -> 418[label="",style="solid", color="burlywood", weight=3];
17.15/6.65	1063[label="xy301/Just xy3010",fontsize=10,color="white",style="solid",shape="box"];362 -> 1063[label="",style="solid", color="burlywood", weight=9];
17.15/6.65	1063 -> 419[label="",style="solid", color="burlywood", weight=3];
17.15/6.65	363[label="xy4010 :% xy4011 == xy301",fontsize=16,color="burlywood",shape="box"];1064[label="xy301/xy3010 :% xy3011",fontsize=10,color="white",style="solid",shape="box"];363 -> 1064[label="",style="solid", color="burlywood", weight=9];
17.15/6.65	1064 -> 420[label="",style="solid", color="burlywood", weight=3];
17.15/6.65	364[label="(xy4010,xy4011) == xy301",fontsize=16,color="burlywood",shape="box"];1065[label="xy301/(xy3010,xy3011)",fontsize=10,color="white",style="solid",shape="box"];364 -> 1065[label="",style="solid", color="burlywood", weight=9];
17.15/6.65	1065 -> 421[label="",style="solid", color="burlywood", weight=3];
17.15/6.65	365[label="() == xy301",fontsize=16,color="burlywood",shape="box"];1066[label="xy301/()",fontsize=10,color="white",style="solid",shape="box"];365 -> 1066[label="",style="solid", color="burlywood", weight=9];
17.15/6.65	1066 -> 422[label="",style="solid", color="burlywood", weight=3];
17.15/6.65	366[label="primEqFloat xy401 xy301",fontsize=16,color="burlywood",shape="box"];1067[label="xy401/Float xy4010 xy4011",fontsize=10,color="white",style="solid",shape="box"];366 -> 1067[label="",style="solid", color="burlywood", weight=9];
17.15/6.65	1067 -> 423[label="",style="solid", color="burlywood", weight=3];
17.15/6.65	367[label="xy4010 : xy4011 == xy301",fontsize=16,color="burlywood",shape="box"];1068[label="xy301/xy3010 : xy3011",fontsize=10,color="white",style="solid",shape="box"];367 -> 1068[label="",style="solid", color="burlywood", weight=9];
17.15/6.65	1068 -> 424[label="",style="solid", color="burlywood", weight=3];
17.15/6.65	1069[label="xy301/[]",fontsize=10,color="white",style="solid",shape="box"];367 -> 1069[label="",style="solid", color="burlywood", weight=9];
17.15/6.65	1069 -> 425[label="",style="solid", color="burlywood", weight=3];
17.15/6.65	368[label="[] == xy301",fontsize=16,color="burlywood",shape="box"];1070[label="xy301/xy3010 : xy3011",fontsize=10,color="white",style="solid",shape="box"];368 -> 1070[label="",style="solid", color="burlywood", weight=9];
17.15/6.65	1070 -> 426[label="",style="solid", color="burlywood", weight=3];
17.15/6.65	1071[label="xy301/[]",fontsize=10,color="white",style="solid",shape="box"];368 -> 1071[label="",style="solid", color="burlywood", weight=9];
17.15/6.65	1071 -> 427[label="",style="solid", color="burlywood", weight=3];
17.15/6.65	369[label="primEqDouble xy401 xy301",fontsize=16,color="burlywood",shape="box"];1072[label="xy401/Double xy4010 xy4011",fontsize=10,color="white",style="solid",shape="box"];369 -> 1072[label="",style="solid", color="burlywood", weight=9];
17.15/6.65	1072 -> 428[label="",style="solid", color="burlywood", weight=3];
17.15/6.65	370[label="LT == xy301",fontsize=16,color="burlywood",shape="box"];1073[label="xy301/LT",fontsize=10,color="white",style="solid",shape="box"];370 -> 1073[label="",style="solid", color="burlywood", weight=9];
17.15/6.65	1073 -> 429[label="",style="solid", color="burlywood", weight=3];
17.15/6.65	1074[label="xy301/EQ",fontsize=10,color="white",style="solid",shape="box"];370 -> 1074[label="",style="solid", color="burlywood", weight=9];
17.15/6.65	1074 -> 430[label="",style="solid", color="burlywood", weight=3];
17.15/6.65	1075[label="xy301/GT",fontsize=10,color="white",style="solid",shape="box"];370 -> 1075[label="",style="solid", color="burlywood", weight=9];
17.15/6.65	1075 -> 431[label="",style="solid", color="burlywood", weight=3];
17.15/6.65	371[label="EQ == xy301",fontsize=16,color="burlywood",shape="box"];1076[label="xy301/LT",fontsize=10,color="white",style="solid",shape="box"];371 -> 1076[label="",style="solid", color="burlywood", weight=9];
17.15/6.65	1076 -> 432[label="",style="solid", color="burlywood", weight=3];
17.15/6.65	1077[label="xy301/EQ",fontsize=10,color="white",style="solid",shape="box"];371 -> 1077[label="",style="solid", color="burlywood", weight=9];
17.15/6.65	1077 -> 433[label="",style="solid", color="burlywood", weight=3];
17.15/6.65	1078[label="xy301/GT",fontsize=10,color="white",style="solid",shape="box"];371 -> 1078[label="",style="solid", color="burlywood", weight=9];
17.15/6.65	1078 -> 434[label="",style="solid", color="burlywood", weight=3];
17.15/6.65	372[label="GT == xy301",fontsize=16,color="burlywood",shape="box"];1079[label="xy301/LT",fontsize=10,color="white",style="solid",shape="box"];372 -> 1079[label="",style="solid", color="burlywood", weight=9];
17.15/6.65	1079 -> 435[label="",style="solid", color="burlywood", weight=3];
17.15/6.65	1080[label="xy301/EQ",fontsize=10,color="white",style="solid",shape="box"];372 -> 1080[label="",style="solid", color="burlywood", weight=9];
17.15/6.65	1080 -> 436[label="",style="solid", color="burlywood", weight=3];
17.15/6.65	1081[label="xy301/GT",fontsize=10,color="white",style="solid",shape="box"];372 -> 1081[label="",style="solid", color="burlywood", weight=9];
17.15/6.65	1081 -> 437[label="",style="solid", color="burlywood", weight=3];
17.15/6.65	373[label="Integer xy4010 == xy301",fontsize=16,color="burlywood",shape="box"];1082[label="xy301/Integer xy3010",fontsize=10,color="white",style="solid",shape="box"];373 -> 1082[label="",style="solid", color="burlywood", weight=9];
17.15/6.65	1082 -> 438[label="",style="solid", color="burlywood", weight=3];
17.15/6.65	374[label="xy400",fontsize=16,color="green",shape="box"];375[label="xy300",fontsize=16,color="green",shape="box"];376[label="xy400",fontsize=16,color="green",shape="box"];377[label="xy300",fontsize=16,color="green",shape="box"];378[label="xy400",fontsize=16,color="green",shape="box"];379[label="xy300",fontsize=16,color="green",shape="box"];380[label="xy400",fontsize=16,color="green",shape="box"];381[label="xy300",fontsize=16,color="green",shape="box"];382[label="xy400",fontsize=16,color="green",shape="box"];383[label="xy300",fontsize=16,color="green",shape="box"];384[label="xy400",fontsize=16,color="green",shape="box"];385[label="xy300",fontsize=16,color="green",shape="box"];386[label="xy400",fontsize=16,color="green",shape="box"];387[label="xy300",fontsize=16,color="green",shape="box"];388[label="xy400",fontsize=16,color="green",shape="box"];389[label="xy300",fontsize=16,color="green",shape="box"];390[label="xy400",fontsize=16,color="green",shape="box"];391[label="xy300",fontsize=16,color="green",shape="box"];392[label="xy400",fontsize=16,color="green",shape="box"];393[label="xy300",fontsize=16,color="green",shape="box"];394[label="xy400",fontsize=16,color="green",shape="box"];395[label="xy300",fontsize=16,color="green",shape="box"];396[label="xy400",fontsize=16,color="green",shape="box"];397[label="xy300",fontsize=16,color="green",shape="box"];398[label="xy400",fontsize=16,color="green",shape="box"];399[label="xy300",fontsize=16,color="green",shape="box"];400[label="xy400",fontsize=16,color="green",shape="box"];401[label="xy300",fontsize=16,color="green",shape="box"];402[label="False",fontsize=16,color="green",shape="box"];403[label="xy43",fontsize=16,color="green",shape="box"];173 -> 13[label="",style="dashed", color="red", weight=0];
17.15/6.65	173[label="List.deleteBy (==) (xy28,xy29) xy25",fontsize=16,color="magenta"];173 -> 223[label="",style="dashed", color="magenta", weight=3];
17.15/6.65	173 -> 224[label="",style="dashed", color="magenta", weight=3];
17.15/6.65	404[label="primEqChar (Char xy4010) xy301",fontsize=16,color="burlywood",shape="box"];1083[label="xy301/Char xy3010",fontsize=10,color="white",style="solid",shape="box"];404 -> 1083[label="",style="solid", color="burlywood", weight=9];
17.15/6.65	1083 -> 439[label="",style="solid", color="burlywood", weight=3];
17.15/6.65	405[label="(xy4010,xy4011,xy4012) == (xy3010,xy3011,xy3012)",fontsize=16,color="black",shape="box"];405 -> 440[label="",style="solid", color="black", weight=3];
17.15/6.65	406[label="Left xy4010 == Left xy3010",fontsize=16,color="black",shape="box"];406 -> 441[label="",style="solid", color="black", weight=3];
17.15/6.65	407[label="Left xy4010 == Right xy3010",fontsize=16,color="black",shape="box"];407 -> 442[label="",style="solid", color="black", weight=3];
17.15/6.65	408[label="Right xy4010 == Left xy3010",fontsize=16,color="black",shape="box"];408 -> 443[label="",style="solid", color="black", weight=3];
17.15/6.65	409[label="Right xy4010 == Right xy3010",fontsize=16,color="black",shape="box"];409 -> 444[label="",style="solid", color="black", weight=3];
17.15/6.65	410[label="False == False",fontsize=16,color="black",shape="box"];410 -> 445[label="",style="solid", color="black", weight=3];
17.15/6.65	411[label="False == True",fontsize=16,color="black",shape="box"];411 -> 446[label="",style="solid", color="black", weight=3];
17.15/6.65	412[label="True == False",fontsize=16,color="black",shape="box"];412 -> 447[label="",style="solid", color="black", weight=3];
17.15/6.65	413[label="True == True",fontsize=16,color="black",shape="box"];413 -> 448[label="",style="solid", color="black", weight=3];
17.15/6.65	414[label="primEqInt (Pos xy4010) xy301",fontsize=16,color="burlywood",shape="box"];1084[label="xy4010/Succ xy40100",fontsize=10,color="white",style="solid",shape="box"];414 -> 1084[label="",style="solid", color="burlywood", weight=9];
17.15/6.65	1084 -> 449[label="",style="solid", color="burlywood", weight=3];
17.15/6.65	1085[label="xy4010/Zero",fontsize=10,color="white",style="solid",shape="box"];414 -> 1085[label="",style="solid", color="burlywood", weight=9];
17.15/6.65	1085 -> 450[label="",style="solid", color="burlywood", weight=3];
17.15/6.65	415[label="primEqInt (Neg xy4010) xy301",fontsize=16,color="burlywood",shape="box"];1086[label="xy4010/Succ xy40100",fontsize=10,color="white",style="solid",shape="box"];415 -> 1086[label="",style="solid", color="burlywood", weight=9];
17.15/6.65	1086 -> 451[label="",style="solid", color="burlywood", weight=3];
17.15/6.65	1087[label="xy4010/Zero",fontsize=10,color="white",style="solid",shape="box"];415 -> 1087[label="",style="solid", color="burlywood", weight=9];
17.15/6.65	1087 -> 452[label="",style="solid", color="burlywood", weight=3];
17.15/6.65	416[label="Nothing == Nothing",fontsize=16,color="black",shape="box"];416 -> 453[label="",style="solid", color="black", weight=3];
17.15/6.65	417[label="Nothing == Just xy3010",fontsize=16,color="black",shape="box"];417 -> 454[label="",style="solid", color="black", weight=3];
17.15/6.65	418[label="Just xy4010 == Nothing",fontsize=16,color="black",shape="box"];418 -> 455[label="",style="solid", color="black", weight=3];
17.15/6.65	419[label="Just xy4010 == Just xy3010",fontsize=16,color="black",shape="box"];419 -> 456[label="",style="solid", color="black", weight=3];
17.15/6.65	420[label="xy4010 :% xy4011 == xy3010 :% xy3011",fontsize=16,color="black",shape="box"];420 -> 457[label="",style="solid", color="black", weight=3];
17.15/6.65	421[label="(xy4010,xy4011) == (xy3010,xy3011)",fontsize=16,color="black",shape="box"];421 -> 458[label="",style="solid", color="black", weight=3];
17.15/6.65	422[label="() == ()",fontsize=16,color="black",shape="box"];422 -> 459[label="",style="solid", color="black", weight=3];
17.15/6.65	423[label="primEqFloat (Float xy4010 xy4011) xy301",fontsize=16,color="burlywood",shape="box"];1088[label="xy301/Float xy3010 xy3011",fontsize=10,color="white",style="solid",shape="box"];423 -> 1088[label="",style="solid", color="burlywood", weight=9];
17.15/6.65	1088 -> 460[label="",style="solid", color="burlywood", weight=3];
17.15/6.65	424[label="xy4010 : xy4011 == xy3010 : xy3011",fontsize=16,color="black",shape="box"];424 -> 461[label="",style="solid", color="black", weight=3];
17.15/6.65	425[label="xy4010 : xy4011 == []",fontsize=16,color="black",shape="box"];425 -> 462[label="",style="solid", color="black", weight=3];
17.15/6.65	426[label="[] == xy3010 : xy3011",fontsize=16,color="black",shape="box"];426 -> 463[label="",style="solid", color="black", weight=3];
17.15/6.65	427[label="[] == []",fontsize=16,color="black",shape="box"];427 -> 464[label="",style="solid", color="black", weight=3];
17.15/6.65	428[label="primEqDouble (Double xy4010 xy4011) xy301",fontsize=16,color="burlywood",shape="box"];1089[label="xy301/Double xy3010 xy3011",fontsize=10,color="white",style="solid",shape="box"];428 -> 1089[label="",style="solid", color="burlywood", weight=9];
17.15/6.65	1089 -> 465[label="",style="solid", color="burlywood", weight=3];
17.15/6.65	429[label="LT == LT",fontsize=16,color="black",shape="box"];429 -> 466[label="",style="solid", color="black", weight=3];
17.15/6.65	430[label="LT == EQ",fontsize=16,color="black",shape="box"];430 -> 467[label="",style="solid", color="black", weight=3];
17.15/6.65	431[label="LT == GT",fontsize=16,color="black",shape="box"];431 -> 468[label="",style="solid", color="black", weight=3];
17.15/6.65	432[label="EQ == LT",fontsize=16,color="black",shape="box"];432 -> 469[label="",style="solid", color="black", weight=3];
17.15/6.65	433[label="EQ == EQ",fontsize=16,color="black",shape="box"];433 -> 470[label="",style="solid", color="black", weight=3];
17.15/6.65	434[label="EQ == GT",fontsize=16,color="black",shape="box"];434 -> 471[label="",style="solid", color="black", weight=3];
17.15/6.65	435[label="GT == LT",fontsize=16,color="black",shape="box"];435 -> 472[label="",style="solid", color="black", weight=3];
17.15/6.65	436[label="GT == EQ",fontsize=16,color="black",shape="box"];436 -> 473[label="",style="solid", color="black", weight=3];
17.15/6.65	437[label="GT == GT",fontsize=16,color="black",shape="box"];437 -> 474[label="",style="solid", color="black", weight=3];
17.15/6.65	438[label="Integer xy4010 == Integer xy3010",fontsize=16,color="black",shape="box"];438 -> 475[label="",style="solid", color="black", weight=3];
17.15/6.65	223[label="(xy28,xy29)",fontsize=16,color="green",shape="box"];224[label="xy25",fontsize=16,color="green",shape="box"];439[label="primEqChar (Char xy4010) (Char xy3010)",fontsize=16,color="black",shape="box"];439 -> 476[label="",style="solid", color="black", weight=3];
17.15/6.65	440 -> 319[label="",style="dashed", color="red", weight=0];
17.15/6.65	440[label="xy4010 == xy3010 && xy4011 == xy3011 && xy4012 == xy3012",fontsize=16,color="magenta"];440 -> 477[label="",style="dashed", color="magenta", weight=3];
17.15/6.65	440 -> 478[label="",style="dashed", color="magenta", weight=3];
17.15/6.65	441[label="xy4010 == xy3010",fontsize=16,color="blue",shape="box"];1090[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];441 -> 1090[label="",style="solid", color="blue", weight=9];
17.15/6.65	1090 -> 479[label="",style="solid", color="blue", weight=3];
17.15/6.65	1091[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];441 -> 1091[label="",style="solid", color="blue", weight=9];
17.15/6.65	1091 -> 480[label="",style="solid", color="blue", weight=3];
17.15/6.65	1092[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];441 -> 1092[label="",style="solid", color="blue", weight=9];
17.15/6.65	1092 -> 481[label="",style="solid", color="blue", weight=3];
17.15/6.65	1093[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];441 -> 1093[label="",style="solid", color="blue", weight=9];
17.15/6.65	1093 -> 482[label="",style="solid", color="blue", weight=3];
17.15/6.65	1094[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];441 -> 1094[label="",style="solid", color="blue", weight=9];
17.15/6.65	1094 -> 483[label="",style="solid", color="blue", weight=3];
17.15/6.65	1095[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];441 -> 1095[label="",style="solid", color="blue", weight=9];
17.15/6.65	1095 -> 484[label="",style="solid", color="blue", weight=3];
17.15/6.65	1096[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];441 -> 1096[label="",style="solid", color="blue", weight=9];
17.15/6.65	1096 -> 485[label="",style="solid", color="blue", weight=3];
17.15/6.65	1097[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];441 -> 1097[label="",style="solid", color="blue", weight=9];
17.15/6.65	1097 -> 486[label="",style="solid", color="blue", weight=3];
17.15/6.65	1098[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];441 -> 1098[label="",style="solid", color="blue", weight=9];
17.15/6.65	1098 -> 487[label="",style="solid", color="blue", weight=3];
17.15/6.65	1099[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];441 -> 1099[label="",style="solid", color="blue", weight=9];
17.15/6.65	1099 -> 488[label="",style="solid", color="blue", weight=3];
17.15/6.65	1100[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];441 -> 1100[label="",style="solid", color="blue", weight=9];
17.15/6.65	1100 -> 489[label="",style="solid", color="blue", weight=3];
17.15/6.65	1101[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];441 -> 1101[label="",style="solid", color="blue", weight=9];
17.15/6.65	1101 -> 490[label="",style="solid", color="blue", weight=3];
17.15/6.65	1102[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];441 -> 1102[label="",style="solid", color="blue", weight=9];
17.15/6.65	1102 -> 491[label="",style="solid", color="blue", weight=3];
17.15/6.65	1103[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];441 -> 1103[label="",style="solid", color="blue", weight=9];
17.15/6.65	1103 -> 492[label="",style="solid", color="blue", weight=3];
17.15/6.65	442[label="False",fontsize=16,color="green",shape="box"];443[label="False",fontsize=16,color="green",shape="box"];444[label="xy4010 == xy3010",fontsize=16,color="blue",shape="box"];1104[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];444 -> 1104[label="",style="solid", color="blue", weight=9];
17.15/6.65	1104 -> 493[label="",style="solid", color="blue", weight=3];
17.15/6.65	1105[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];444 -> 1105[label="",style="solid", color="blue", weight=9];
17.15/6.65	1105 -> 494[label="",style="solid", color="blue", weight=3];
17.15/6.65	1106[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];444 -> 1106[label="",style="solid", color="blue", weight=9];
17.15/6.65	1106 -> 495[label="",style="solid", color="blue", weight=3];
17.15/6.65	1107[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];444 -> 1107[label="",style="solid", color="blue", weight=9];
17.15/6.65	1107 -> 496[label="",style="solid", color="blue", weight=3];
17.15/6.65	1108[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];444 -> 1108[label="",style="solid", color="blue", weight=9];
17.15/6.65	1108 -> 497[label="",style="solid", color="blue", weight=3];
17.15/6.65	1109[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];444 -> 1109[label="",style="solid", color="blue", weight=9];
17.15/6.65	1109 -> 498[label="",style="solid", color="blue", weight=3];
17.15/6.65	1110[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];444 -> 1110[label="",style="solid", color="blue", weight=9];
17.15/6.65	1110 -> 499[label="",style="solid", color="blue", weight=3];
17.15/6.65	1111[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];444 -> 1111[label="",style="solid", color="blue", weight=9];
17.15/6.65	1111 -> 500[label="",style="solid", color="blue", weight=3];
17.15/6.65	1112[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];444 -> 1112[label="",style="solid", color="blue", weight=9];
17.15/6.65	1112 -> 501[label="",style="solid", color="blue", weight=3];
17.15/6.65	1113[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];444 -> 1113[label="",style="solid", color="blue", weight=9];
17.15/6.65	1113 -> 502[label="",style="solid", color="blue", weight=3];
17.15/6.65	1114[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];444 -> 1114[label="",style="solid", color="blue", weight=9];
17.15/6.65	1114 -> 503[label="",style="solid", color="blue", weight=3];
17.15/6.65	1115[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];444 -> 1115[label="",style="solid", color="blue", weight=9];
17.15/6.65	1115 -> 504[label="",style="solid", color="blue", weight=3];
17.15/6.65	1116[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];444 -> 1116[label="",style="solid", color="blue", weight=9];
17.15/6.65	1116 -> 505[label="",style="solid", color="blue", weight=3];
17.15/6.65	1117[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];444 -> 1117[label="",style="solid", color="blue", weight=9];
17.15/6.65	1117 -> 506[label="",style="solid", color="blue", weight=3];
17.15/6.65	445[label="True",fontsize=16,color="green",shape="box"];446[label="False",fontsize=16,color="green",shape="box"];447[label="False",fontsize=16,color="green",shape="box"];448[label="True",fontsize=16,color="green",shape="box"];449[label="primEqInt (Pos (Succ xy40100)) xy301",fontsize=16,color="burlywood",shape="box"];1118[label="xy301/Pos xy3010",fontsize=10,color="white",style="solid",shape="box"];449 -> 1118[label="",style="solid", color="burlywood", weight=9];
17.15/6.65	1118 -> 507[label="",style="solid", color="burlywood", weight=3];
17.15/6.65	1119[label="xy301/Neg xy3010",fontsize=10,color="white",style="solid",shape="box"];449 -> 1119[label="",style="solid", color="burlywood", weight=9];
17.15/6.65	1119 -> 508[label="",style="solid", color="burlywood", weight=3];
17.15/6.65	450[label="primEqInt (Pos Zero) xy301",fontsize=16,color="burlywood",shape="box"];1120[label="xy301/Pos xy3010",fontsize=10,color="white",style="solid",shape="box"];450 -> 1120[label="",style="solid", color="burlywood", weight=9];
17.15/6.65	1120 -> 509[label="",style="solid", color="burlywood", weight=3];
17.15/6.65	1121[label="xy301/Neg xy3010",fontsize=10,color="white",style="solid",shape="box"];450 -> 1121[label="",style="solid", color="burlywood", weight=9];
17.15/6.65	1121 -> 510[label="",style="solid", color="burlywood", weight=3];
17.15/6.65	451[label="primEqInt (Neg (Succ xy40100)) xy301",fontsize=16,color="burlywood",shape="box"];1122[label="xy301/Pos xy3010",fontsize=10,color="white",style="solid",shape="box"];451 -> 1122[label="",style="solid", color="burlywood", weight=9];
17.15/6.65	1122 -> 511[label="",style="solid", color="burlywood", weight=3];
17.15/6.65	1123[label="xy301/Neg xy3010",fontsize=10,color="white",style="solid",shape="box"];451 -> 1123[label="",style="solid", color="burlywood", weight=9];
17.15/6.65	1123 -> 512[label="",style="solid", color="burlywood", weight=3];
17.15/6.65	452[label="primEqInt (Neg Zero) xy301",fontsize=16,color="burlywood",shape="box"];1124[label="xy301/Pos xy3010",fontsize=10,color="white",style="solid",shape="box"];452 -> 1124[label="",style="solid", color="burlywood", weight=9];
17.15/6.65	1124 -> 513[label="",style="solid", color="burlywood", weight=3];
17.15/6.65	1125[label="xy301/Neg xy3010",fontsize=10,color="white",style="solid",shape="box"];452 -> 1125[label="",style="solid", color="burlywood", weight=9];
17.15/6.65	1125 -> 514[label="",style="solid", color="burlywood", weight=3];
17.15/6.65	453[label="True",fontsize=16,color="green",shape="box"];454[label="False",fontsize=16,color="green",shape="box"];455[label="False",fontsize=16,color="green",shape="box"];456[label="xy4010 == xy3010",fontsize=16,color="blue",shape="box"];1126[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];456 -> 1126[label="",style="solid", color="blue", weight=9];
17.15/6.65	1126 -> 515[label="",style="solid", color="blue", weight=3];
17.15/6.65	1127[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];456 -> 1127[label="",style="solid", color="blue", weight=9];
17.15/6.65	1127 -> 516[label="",style="solid", color="blue", weight=3];
17.15/6.65	1128[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];456 -> 1128[label="",style="solid", color="blue", weight=9];
17.15/6.65	1128 -> 517[label="",style="solid", color="blue", weight=3];
17.15/6.65	1129[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];456 -> 1129[label="",style="solid", color="blue", weight=9];
17.15/6.65	1129 -> 518[label="",style="solid", color="blue", weight=3];
17.15/6.65	1130[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];456 -> 1130[label="",style="solid", color="blue", weight=9];
17.15/6.65	1130 -> 519[label="",style="solid", color="blue", weight=3];
17.15/6.65	1131[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];456 -> 1131[label="",style="solid", color="blue", weight=9];
17.15/6.65	1131 -> 520[label="",style="solid", color="blue", weight=3];
17.15/6.65	1132[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];456 -> 1132[label="",style="solid", color="blue", weight=9];
17.15/6.65	1132 -> 521[label="",style="solid", color="blue", weight=3];
17.15/6.65	1133[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];456 -> 1133[label="",style="solid", color="blue", weight=9];
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17.15/6.65	1142 -> 543[label="",style="solid", color="blue", weight=3];
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17.15/6.65	1144 -> 545[label="",style="solid", color="blue", weight=3];
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17.15/6.65	1146[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];478 -> 1146[label="",style="solid", color="blue", weight=9];
17.15/6.65	1146 -> 547[label="",style="solid", color="blue", weight=3];
17.15/6.65	1147[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];478 -> 1147[label="",style="solid", color="blue", weight=9];
17.15/6.65	1147 -> 548[label="",style="solid", color="blue", weight=3];
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17.15/6.65	1148 -> 549[label="",style="solid", color="blue", weight=3];
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17.15/6.65	1150 -> 551[label="",style="solid", color="blue", weight=3];
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17.15/6.65	516 -> 630[label="",style="dashed", color="magenta", weight=3];
17.15/6.65	517 -> 326[label="",style="dashed", color="red", weight=0];
17.15/6.65	517[label="xy4010 == xy3010",fontsize=16,color="magenta"];517 -> 631[label="",style="dashed", color="magenta", weight=3];
17.15/6.65	517 -> 632[label="",style="dashed", color="magenta", weight=3];
17.15/6.65	518 -> 327[label="",style="dashed", color="red", weight=0];
17.15/6.65	518[label="xy4010 == xy3010",fontsize=16,color="magenta"];518 -> 633[label="",style="dashed", color="magenta", weight=3];
17.15/6.65	518 -> 634[label="",style="dashed", color="magenta", weight=3];
17.15/6.65	519 -> 328[label="",style="dashed", color="red", weight=0];
17.15/6.65	519[label="xy4010 == xy3010",fontsize=16,color="magenta"];519 -> 635[label="",style="dashed", color="magenta", weight=3];
17.15/6.65	519 -> 636[label="",style="dashed", color="magenta", weight=3];
17.15/6.65	520 -> 329[label="",style="dashed", color="red", weight=0];
17.15/6.65	520[label="xy4010 == xy3010",fontsize=16,color="magenta"];520 -> 637[label="",style="dashed", color="magenta", weight=3];
17.15/6.65	520 -> 638[label="",style="dashed", color="magenta", weight=3];
17.15/6.65	521 -> 330[label="",style="dashed", color="red", weight=0];
17.15/6.65	521[label="xy4010 == xy3010",fontsize=16,color="magenta"];521 -> 639[label="",style="dashed", color="magenta", weight=3];
17.15/6.65	521 -> 640[label="",style="dashed", color="magenta", weight=3];
17.15/6.65	522 -> 331[label="",style="dashed", color="red", weight=0];
17.15/6.65	522[label="xy4010 == xy3010",fontsize=16,color="magenta"];522 -> 641[label="",style="dashed", color="magenta", weight=3];
17.15/6.65	522 -> 642[label="",style="dashed", color="magenta", weight=3];
17.15/6.65	523 -> 332[label="",style="dashed", color="red", weight=0];
17.15/6.65	523[label="xy4010 == xy3010",fontsize=16,color="magenta"];523 -> 643[label="",style="dashed", color="magenta", weight=3];
17.15/6.65	523 -> 644[label="",style="dashed", color="magenta", weight=3];
17.15/6.65	524 -> 333[label="",style="dashed", color="red", weight=0];
17.15/6.65	524[label="xy4010 == xy3010",fontsize=16,color="magenta"];524 -> 645[label="",style="dashed", color="magenta", weight=3];
17.15/6.65	524 -> 646[label="",style="dashed", color="magenta", weight=3];
17.15/6.65	525 -> 334[label="",style="dashed", color="red", weight=0];
17.15/6.65	525[label="xy4010 == xy3010",fontsize=16,color="magenta"];525 -> 647[label="",style="dashed", color="magenta", weight=3];
17.15/6.65	525 -> 648[label="",style="dashed", color="magenta", weight=3];
17.15/6.65	526 -> 335[label="",style="dashed", color="red", weight=0];
17.15/6.65	526[label="xy4010 == xy3010",fontsize=16,color="magenta"];526 -> 649[label="",style="dashed", color="magenta", weight=3];
17.15/6.65	526 -> 650[label="",style="dashed", color="magenta", weight=3];
17.15/6.65	527 -> 336[label="",style="dashed", color="red", weight=0];
17.15/6.65	527[label="xy4010 == xy3010",fontsize=16,color="magenta"];527 -> 651[label="",style="dashed", color="magenta", weight=3];
17.15/6.65	527 -> 652[label="",style="dashed", color="magenta", weight=3];
17.15/6.65	528 -> 337[label="",style="dashed", color="red", weight=0];
17.15/6.65	528[label="xy4010 == xy3010",fontsize=16,color="magenta"];528 -> 653[label="",style="dashed", color="magenta", weight=3];
17.15/6.65	528 -> 654[label="",style="dashed", color="magenta", weight=3];
17.15/6.65	529[label="xy4011 == xy3011",fontsize=16,color="blue",shape="box"];1168[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];529 -> 1168[label="",style="solid", color="blue", weight=9];
17.15/6.65	1168 -> 655[label="",style="solid", color="blue", weight=3];
17.15/6.65	1169[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];529 -> 1169[label="",style="solid", color="blue", weight=9];
17.15/6.65	1169 -> 656[label="",style="solid", color="blue", weight=3];
17.15/6.65	530[label="xy4010 == xy3010",fontsize=16,color="blue",shape="box"];1170[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];530 -> 1170[label="",style="solid", color="blue", weight=9];
17.15/6.65	1170 -> 657[label="",style="solid", color="blue", weight=3];
17.15/6.65	1171[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];530 -> 1171[label="",style="solid", color="blue", weight=9];
17.15/6.65	1171 -> 658[label="",style="solid", color="blue", weight=3];
17.15/6.65	531[label="xy4011 == xy3011",fontsize=16,color="blue",shape="box"];1172[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];531 -> 1172[label="",style="solid", color="blue", weight=9];
17.15/6.65	1172 -> 659[label="",style="solid", color="blue", weight=3];
17.15/6.65	1173[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];531 -> 1173[label="",style="solid", color="blue", weight=9];
17.15/6.65	1173 -> 660[label="",style="solid", color="blue", weight=3];
17.15/6.65	1174[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];531 -> 1174[label="",style="solid", color="blue", weight=9];
17.15/6.65	1174 -> 661[label="",style="solid", color="blue", weight=3];
17.15/6.65	1175[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];531 -> 1175[label="",style="solid", color="blue", weight=9];
17.15/6.65	1175 -> 662[label="",style="solid", color="blue", weight=3];
17.15/6.65	1176[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];531 -> 1176[label="",style="solid", color="blue", weight=9];
17.15/6.65	1176 -> 663[label="",style="solid", color="blue", weight=3];
17.15/6.65	1177[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];531 -> 1177[label="",style="solid", color="blue", weight=9];
17.15/6.65	1177 -> 664[label="",style="solid", color="blue", weight=3];
17.15/6.65	1178[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];531 -> 1178[label="",style="solid", color="blue", weight=9];
17.15/6.65	1178 -> 665[label="",style="solid", color="blue", weight=3];
17.15/6.65	1179[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];531 -> 1179[label="",style="solid", color="blue", weight=9];
17.15/6.65	1179 -> 666[label="",style="solid", color="blue", weight=3];
17.15/6.65	1180[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];531 -> 1180[label="",style="solid", color="blue", weight=9];
17.15/6.65	1180 -> 667[label="",style="solid", color="blue", weight=3];
17.15/6.65	1181[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];531 -> 1181[label="",style="solid", color="blue", weight=9];
17.15/6.65	1181 -> 668[label="",style="solid", color="blue", weight=3];
17.15/6.65	1182[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];531 -> 1182[label="",style="solid", color="blue", weight=9];
17.15/6.65	1182 -> 669[label="",style="solid", color="blue", weight=3];
17.15/6.65	1183[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];531 -> 1183[label="",style="solid", color="blue", weight=9];
17.15/6.65	1183 -> 670[label="",style="solid", color="blue", weight=3];
17.15/6.65	1184[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];531 -> 1184[label="",style="solid", color="blue", weight=9];
17.15/6.65	1184 -> 671[label="",style="solid", color="blue", weight=3];
17.15/6.65	1185[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];531 -> 1185[label="",style="solid", color="blue", weight=9];
17.15/6.65	1185 -> 672[label="",style="solid", color="blue", weight=3];
17.15/6.65	532[label="xy4010 == xy3010",fontsize=16,color="blue",shape="box"];1186[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];532 -> 1186[label="",style="solid", color="blue", weight=9];
17.15/6.65	1186 -> 673[label="",style="solid", color="blue", weight=3];
17.15/6.65	1187[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];532 -> 1187[label="",style="solid", color="blue", weight=9];
17.15/6.65	1187 -> 674[label="",style="solid", color="blue", weight=3];
17.15/6.65	1188[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];532 -> 1188[label="",style="solid", color="blue", weight=9];
17.15/6.65	1188 -> 675[label="",style="solid", color="blue", weight=3];
17.15/6.65	1189[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];532 -> 1189[label="",style="solid", color="blue", weight=9];
17.15/6.65	1189 -> 676[label="",style="solid", color="blue", weight=3];
17.15/6.65	1190[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];532 -> 1190[label="",style="solid", color="blue", weight=9];
17.15/6.65	1190 -> 677[label="",style="solid", color="blue", weight=3];
17.15/6.65	1191[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];532 -> 1191[label="",style="solid", color="blue", weight=9];
17.15/6.65	1191 -> 678[label="",style="solid", color="blue", weight=3];
17.15/6.65	1192[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];532 -> 1192[label="",style="solid", color="blue", weight=9];
17.15/6.65	1192 -> 679[label="",style="solid", color="blue", weight=3];
17.15/6.65	1193[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];532 -> 1193[label="",style="solid", color="blue", weight=9];
17.15/6.65	1193 -> 680[label="",style="solid", color="blue", weight=3];
17.15/6.65	1194[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];532 -> 1194[label="",style="solid", color="blue", weight=9];
17.15/6.65	1194 -> 681[label="",style="solid", color="blue", weight=3];
17.15/6.65	1195[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];532 -> 1195[label="",style="solid", color="blue", weight=9];
17.15/6.65	1195 -> 682[label="",style="solid", color="blue", weight=3];
17.15/6.65	1196[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];532 -> 1196[label="",style="solid", color="blue", weight=9];
17.15/6.65	1196 -> 683[label="",style="solid", color="blue", weight=3];
17.15/6.65	1197[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];532 -> 1197[label="",style="solid", color="blue", weight=9];
17.15/6.65	1197 -> 684[label="",style="solid", color="blue", weight=3];
17.15/6.65	1198[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];532 -> 1198[label="",style="solid", color="blue", weight=9];
17.15/6.65	1198 -> 685[label="",style="solid", color="blue", weight=3];
17.15/6.65	1199[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];532 -> 1199[label="",style="solid", color="blue", weight=9];
17.15/6.65	1199 -> 686[label="",style="solid", color="blue", weight=3];
17.15/6.65	533 -> 328[label="",style="dashed", color="red", weight=0];
17.15/6.65	533[label="xy4010 * xy3011 == xy4011 * xy3010",fontsize=16,color="magenta"];533 -> 687[label="",style="dashed", color="magenta", weight=3];
17.15/6.65	533 -> 688[label="",style="dashed", color="magenta", weight=3];
17.15/6.65	534 -> 334[label="",style="dashed", color="red", weight=0];
17.15/6.65	534[label="xy4011 == xy3011",fontsize=16,color="magenta"];534 -> 689[label="",style="dashed", color="magenta", weight=3];
17.15/6.65	534 -> 690[label="",style="dashed", color="magenta", weight=3];
17.15/6.65	535[label="xy4010 == xy3010",fontsize=16,color="blue",shape="box"];1200[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];535 -> 1200[label="",style="solid", color="blue", weight=9];
17.15/6.65	1200 -> 691[label="",style="solid", color="blue", weight=3];
17.15/6.65	1201[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];535 -> 1201[label="",style="solid", color="blue", weight=9];
17.15/6.65	1201 -> 692[label="",style="solid", color="blue", weight=3];
17.15/6.65	1202[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];535 -> 1202[label="",style="solid", color="blue", weight=9];
17.15/6.65	1202 -> 693[label="",style="solid", color="blue", weight=3];
17.15/6.65	1203[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];535 -> 1203[label="",style="solid", color="blue", weight=9];
17.15/6.65	1203 -> 694[label="",style="solid", color="blue", weight=3];
17.15/6.65	1204[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];535 -> 1204[label="",style="solid", color="blue", weight=9];
17.15/6.65	1204 -> 695[label="",style="solid", color="blue", weight=3];
17.15/6.65	1205[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];535 -> 1205[label="",style="solid", color="blue", weight=9];
17.15/6.65	1205 -> 696[label="",style="solid", color="blue", weight=3];
17.15/6.65	1206[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];535 -> 1206[label="",style="solid", color="blue", weight=9];
17.15/6.65	1206 -> 697[label="",style="solid", color="blue", weight=3];
17.15/6.65	1207[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];535 -> 1207[label="",style="solid", color="blue", weight=9];
17.15/6.65	1207 -> 698[label="",style="solid", color="blue", weight=3];
17.15/6.65	1208[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];535 -> 1208[label="",style="solid", color="blue", weight=9];
17.15/6.65	1208 -> 699[label="",style="solid", color="blue", weight=3];
17.15/6.65	1209[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];535 -> 1209[label="",style="solid", color="blue", weight=9];
17.15/6.65	1209 -> 700[label="",style="solid", color="blue", weight=3];
17.15/6.65	1210[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];535 -> 1210[label="",style="solid", color="blue", weight=9];
17.15/6.65	1210 -> 701[label="",style="solid", color="blue", weight=3];
17.15/6.65	1211[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];535 -> 1211[label="",style="solid", color="blue", weight=9];
17.15/6.65	1211 -> 702[label="",style="solid", color="blue", weight=3];
17.15/6.65	1212[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];535 -> 1212[label="",style="solid", color="blue", weight=9];
17.15/6.65	1212 -> 703[label="",style="solid", color="blue", weight=3];
17.15/6.65	1213[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];535 -> 1213[label="",style="solid", color="blue", weight=9];
17.15/6.65	1213 -> 704[label="",style="solid", color="blue", weight=3];
17.15/6.65	536 -> 328[label="",style="dashed", color="red", weight=0];
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17.15/6.65	536 -> 706[label="",style="dashed", color="magenta", weight=3];
17.15/6.65	537[label="xy4010",fontsize=16,color="green",shape="box"];538[label="xy3010",fontsize=16,color="green",shape="box"];539[label="primEqNat (Succ xy40100) xy3010",fontsize=16,color="burlywood",shape="box"];1214[label="xy3010/Succ xy30100",fontsize=10,color="white",style="solid",shape="box"];539 -> 1214[label="",style="solid", color="burlywood", weight=9];
17.15/6.65	1214 -> 707[label="",style="solid", color="burlywood", weight=3];
17.15/6.65	1215[label="xy3010/Zero",fontsize=10,color="white",style="solid",shape="box"];539 -> 1215[label="",style="solid", color="burlywood", weight=9];
17.15/6.65	1215 -> 708[label="",style="solid", color="burlywood", weight=3];
17.15/6.65	540[label="primEqNat Zero xy3010",fontsize=16,color="burlywood",shape="box"];1216[label="xy3010/Succ xy30100",fontsize=10,color="white",style="solid",shape="box"];540 -> 1216[label="",style="solid", color="burlywood", weight=9];
17.15/6.65	1216 -> 709[label="",style="solid", color="burlywood", weight=3];
17.15/6.65	1217[label="xy3010/Zero",fontsize=10,color="white",style="solid",shape="box"];540 -> 1217[label="",style="solid", color="burlywood", weight=9];
17.15/6.65	1217 -> 710[label="",style="solid", color="burlywood", weight=3];
17.15/6.65	541[label="xy4012 == xy3012",fontsize=16,color="blue",shape="box"];1218[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];541 -> 1218[label="",style="solid", color="blue", weight=9];
17.15/6.65	1218 -> 711[label="",style="solid", color="blue", weight=3];
17.15/6.65	1219[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];541 -> 1219[label="",style="solid", color="blue", weight=9];
17.15/6.65	1219 -> 712[label="",style="solid", color="blue", weight=3];
17.15/6.65	1220[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];541 -> 1220[label="",style="solid", color="blue", weight=9];
17.15/6.65	1220 -> 713[label="",style="solid", color="blue", weight=3];
17.15/6.65	1221[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];541 -> 1221[label="",style="solid", color="blue", weight=9];
17.15/6.65	1221 -> 714[label="",style="solid", color="blue", weight=3];
17.15/6.65	1222[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];541 -> 1222[label="",style="solid", color="blue", weight=9];
17.15/6.65	1222 -> 715[label="",style="solid", color="blue", weight=3];
17.15/6.65	1223[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];541 -> 1223[label="",style="solid", color="blue", weight=9];
17.15/6.65	1223 -> 716[label="",style="solid", color="blue", weight=3];
17.15/6.65	1224[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];541 -> 1224[label="",style="solid", color="blue", weight=9];
17.15/6.65	1224 -> 717[label="",style="solid", color="blue", weight=3];
17.15/6.65	1225[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];541 -> 1225[label="",style="solid", color="blue", weight=9];
17.15/6.65	1225 -> 718[label="",style="solid", color="blue", weight=3];
17.15/6.65	1226[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];541 -> 1226[label="",style="solid", color="blue", weight=9];
17.15/6.65	1226 -> 719[label="",style="solid", color="blue", weight=3];
17.15/6.65	1227[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];541 -> 1227[label="",style="solid", color="blue", weight=9];
17.15/6.65	1227 -> 720[label="",style="solid", color="blue", weight=3];
17.15/6.65	1228[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];541 -> 1228[label="",style="solid", color="blue", weight=9];
17.15/6.65	1228 -> 721[label="",style="solid", color="blue", weight=3];
17.15/6.65	1229[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];541 -> 1229[label="",style="solid", color="blue", weight=9];
17.15/6.65	1229 -> 722[label="",style="solid", color="blue", weight=3];
17.15/6.65	1230[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];541 -> 1230[label="",style="solid", color="blue", weight=9];
17.15/6.65	1230 -> 723[label="",style="solid", color="blue", weight=3];
17.15/6.65	1231[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];541 -> 1231[label="",style="solid", color="blue", weight=9];
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17.15/6.65	1237 -> 730[label="",style="solid", color="blue", weight=3];
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17.15/6.66	987[label="Succ (Succ (primPlusNat xy4400 xy3011000))",fontsize=16,color="green",shape="box"];987 -> 991[label="",style="dashed", color="green", weight=3];
17.15/6.66	988[label="Succ xy4400",fontsize=16,color="green",shape="box"];989[label="Succ xy3011000",fontsize=16,color="green",shape="box"];990[label="Zero",fontsize=16,color="green",shape="box"];991 -> 980[label="",style="dashed", color="red", weight=0];
17.15/6.66	991[label="primPlusNat xy4400 xy3011000",fontsize=16,color="magenta"];991 -> 992[label="",style="dashed", color="magenta", weight=3];
17.15/6.66	991 -> 993[label="",style="dashed", color="magenta", weight=3];
17.15/6.66	992[label="xy3011000",fontsize=16,color="green",shape="box"];993[label="xy4400",fontsize=16,color="green",shape="box"];}
17.15/6.66	
17.15/6.66	----------------------------------------
17.15/6.66	
17.15/6.66	(8)
17.15/6.66	Complex Obligation (AND)
17.15/6.66	
17.15/6.66	----------------------------------------
17.15/6.66	
17.15/6.66	(9)
17.15/6.66	Obligation:
17.15/6.66	Q DP problem:
17.15/6.66	The TRS P consists of the following rules:
17.15/6.66	
17.15/6.66	   new_foldl(xy3, :(xy40, xy41), ba, bb) -> new_foldl(new_deleteBy1(xy40, xy3, ba, bb), xy41, ba, bb)
17.15/6.66	
17.15/6.66	The TRS R consists of the following rules:
17.15/6.66	
17.15/6.66	   new_esEs12(Just(xy4010), Just(xy3010), ty_Bool) -> new_esEs10(xy4010, xy3010)
17.15/6.66	   new_esEs22(xy4010, xy3010, ty_@0) -> new_esEs15(xy4010, xy3010)
17.15/6.66	   new_esEs27(xy4010, xy3010, app(ty_Ratio, bha)) -> new_esEs13(xy4010, xy3010, bha)
17.15/6.66	   new_esEs20(xy4011, xy3011, ty_Integer) -> new_esEs19(xy4011, xy3011)
17.15/6.66	   new_primEqInt(Pos(Zero), Pos(Zero)) -> True
17.15/6.66	   new_esEs25(xy4012, xy3012, app(app(ty_Either, beb), bec)) -> new_esEs9(xy4012, xy3012, beb, bec)
17.15/6.66	   new_esEs5(xy400, xy300, ty_Int) -> new_esEs11(xy400, xy300)
17.15/6.66	   new_esEs4(xy401, xy301, app(ty_[], hh)) -> new_esEs17(xy401, xy301, hh)
17.15/6.66	   new_esEs26(xy4011, xy3011, ty_Char) -> new_esEs7(xy4011, xy3011)
17.15/6.66	   new_deleteBy1(xy40, [], ba, bb) -> []
17.15/6.66	   new_esEs22(xy4010, xy3010, ty_Double) -> new_esEs18(xy4010, xy3010)
17.15/6.66	   new_esEs9(Left(xy4010), Left(xy3010), app(ty_Maybe, eh), eb) -> new_esEs12(xy4010, xy3010, eh)
17.15/6.66	   new_esEs26(xy4011, xy3011, app(app(app(ty_@3, bfa), bfb), bfc)) -> new_esEs8(xy4011, xy3011, bfa, bfb, bfc)
17.15/6.66	   new_esEs24(xy4010, xy3010, ty_Int) -> new_esEs11(xy4010, xy3010)
17.15/6.66	   new_esEs4(xy401, xy301, ty_Ordering) -> new_esEs6(xy401, xy301)
17.15/6.66	   new_esEs9(Left(xy4010), Left(xy3010), ty_Float, eb) -> new_esEs16(xy4010, xy3010)
17.15/6.66	   new_esEs22(xy4010, xy3010, app(ty_Maybe, bbh)) -> new_esEs12(xy4010, xy3010, bbh)
17.15/6.66	   new_esEs16(Float(xy4010, xy4011), Float(xy3010, xy3011)) -> new_esEs11(new_sr(xy4010, xy3011), new_sr(xy4011, xy3010))
17.15/6.66	   new_esEs5(xy400, xy300, app(app(app(ty_@3, baa), bab), bac)) -> new_esEs8(xy400, xy300, baa, bab, bac)
17.15/6.66	   new_esEs12(Just(xy4010), Just(xy3010), app(ty_Maybe, bdb)) -> new_esEs12(xy4010, xy3010, bdb)
17.15/6.66	   new_esEs9(Left(xy4010), Left(xy3010), ty_Int, eb) -> new_esEs11(xy4010, xy3010)
17.15/6.66	   new_esEs9(Left(xy4010), Left(xy3010), ty_Char, eb) -> new_esEs7(xy4010, xy3010)
17.15/6.66	   new_esEs10(False, True) -> False
17.15/6.66	   new_esEs10(True, False) -> False
17.15/6.66	   new_esEs20(xy4011, xy3011, app(ty_Ratio, cc)) -> new_esEs13(xy4011, xy3011, cc)
17.15/6.66	   new_esEs9(Left(xy4010), Left(xy3010), app(app(ty_Either, ef), eg), eb) -> new_esEs9(xy4010, xy3010, ef, eg)
17.15/6.66	   new_esEs25(xy4012, xy3012, app(ty_Ratio, bee)) -> new_esEs13(xy4012, xy3012, bee)
17.15/6.66	   new_esEs22(xy4010, xy3010, ty_Integer) -> new_esEs19(xy4010, xy3010)
17.15/6.66	   new_esEs25(xy4012, xy3012, ty_Ordering) -> new_esEs6(xy4012, xy3012)
17.15/6.66	   new_asAs(True, xy43) -> xy43
17.15/6.66	   new_esEs25(xy4012, xy3012, ty_Bool) -> new_esEs10(xy4012, xy3012)
17.15/6.66	   new_esEs27(xy4010, xy3010, app(ty_Maybe, bgh)) -> new_esEs12(xy4010, xy3010, bgh)
17.15/6.66	   new_esEs9(Right(xy4010), Right(xy3010), ff, app(ty_Maybe, gd)) -> new_esEs12(xy4010, xy3010, gd)
17.15/6.66	   new_esEs20(xy4011, xy3011, ty_@0) -> new_esEs15(xy4011, xy3011)
17.15/6.66	   new_esEs21(xy4010, xy3010, ty_Float) -> new_esEs16(xy4010, xy3010)
17.15/6.66	   new_esEs27(xy4010, xy3010, ty_Integer) -> new_esEs19(xy4010, xy3010)
17.15/6.66	   new_esEs25(xy4012, xy3012, app(ty_[], beh)) -> new_esEs17(xy4012, xy3012, beh)
17.15/6.66	   new_esEs20(xy4011, xy3011, ty_Double) -> new_esEs18(xy4011, xy3011)
17.15/6.66	   new_esEs27(xy4010, xy3010, app(app(ty_Either, bgf), bgg)) -> new_esEs9(xy4010, xy3010, bgf, bgg)
17.15/6.66	   new_primEqInt(Pos(Succ(xy40100)), Pos(Zero)) -> False
17.15/6.66	   new_primEqInt(Pos(Zero), Pos(Succ(xy30100))) -> False
17.15/6.66	   new_esEs12(Nothing, Just(xy3010), hf) -> False
17.15/6.66	   new_esEs12(Just(xy4010), Nothing, hf) -> False
17.15/6.66	   new_esEs4(xy401, xy301, app(ty_Ratio, hg)) -> new_esEs13(xy401, xy301, hg)
17.15/6.66	   new_esEs12(Nothing, Nothing, hf) -> True
17.15/6.66	   new_esEs9(Left(xy4010), Left(xy3010), app(ty_Ratio, fa), eb) -> new_esEs13(xy4010, xy3010, fa)
17.15/6.66	   new_esEs9(Right(xy4010), Right(xy3010), ff, ty_Float) -> new_esEs16(xy4010, xy3010)
17.15/6.66	   new_esEs9(Right(xy4010), Right(xy3010), ff, ty_Ordering) -> new_esEs6(xy4010, xy3010)
17.15/6.66	   new_esEs22(xy4010, xy3010, ty_Bool) -> new_esEs10(xy4010, xy3010)
17.15/6.66	   new_esEs27(xy4010, xy3010, app(ty_[], bhd)) -> new_esEs17(xy4010, xy3010, bhd)
17.15/6.66	   new_esEs12(Just(xy4010), Just(xy3010), ty_Integer) -> new_esEs19(xy4010, xy3010)
17.15/6.66	   new_primEqNat0(Succ(xy40100), Succ(xy30100)) -> new_primEqNat0(xy40100, xy30100)
17.15/6.66	   new_esEs27(xy4010, xy3010, ty_Bool) -> new_esEs10(xy4010, xy3010)
17.15/6.66	   new_esEs5(xy400, xy300, ty_Float) -> new_esEs16(xy400, xy300)
17.15/6.66	   new_esEs22(xy4010, xy3010, ty_Int) -> new_esEs11(xy4010, xy3010)
17.15/6.66	   new_esEs12(Just(xy4010), Just(xy3010), app(ty_Ratio, bdc)) -> new_esEs13(xy4010, xy3010, bdc)
17.15/6.66	   new_esEs22(xy4010, xy3010, app(ty_Ratio, bca)) -> new_esEs13(xy4010, xy3010, bca)
17.15/6.66	   new_esEs26(xy4011, xy3011, ty_Float) -> new_esEs16(xy4011, xy3011)
17.15/6.66	   new_esEs13(:%(xy4010, xy4011), :%(xy3010, xy3011), hg) -> new_asAs(new_esEs24(xy4010, xy3010, hg), new_esEs23(xy4011, xy3011, hg))
17.15/6.66	   new_esEs4(xy401, xy301, app(app(ty_@2, bc), bd)) -> new_esEs14(xy401, xy301, bc, bd)
17.15/6.66	   new_primMulNat0(Zero, Zero) -> Zero
17.15/6.66	   new_esEs5(xy400, xy300, app(ty_Maybe, baf)) -> new_esEs12(xy400, xy300, baf)
17.15/6.66	   new_esEs5(xy400, xy300, ty_Integer) -> new_esEs19(xy400, xy300)
17.15/6.66	   new_esEs21(xy4010, xy3010, app(app(app(ty_@3, cg), da), db)) -> new_esEs8(xy4010, xy3010, cg, da, db)
17.15/6.66	   new_esEs6(EQ, GT) -> False
17.15/6.66	   new_esEs6(GT, EQ) -> False
17.15/6.66	   new_esEs9(Left(xy4010), Left(xy3010), app(app(app(ty_@3, ec), ed), ee), eb) -> new_esEs8(xy4010, xy3010, ec, ed, ee)
17.15/6.66	   new_esEs27(xy4010, xy3010, ty_@0) -> new_esEs15(xy4010, xy3010)
17.15/6.66	   new_esEs17(:(xy4010, xy4011), :(xy3010, xy3011), hh) -> new_asAs(new_esEs22(xy4010, xy3010, hh), new_esEs17(xy4011, xy3011, hh))
17.15/6.66	   new_esEs12(Just(xy4010), Just(xy3010), ty_@0) -> new_esEs15(xy4010, xy3010)
17.15/6.66	   new_esEs4(xy401, xy301, app(ty_Maybe, hf)) -> new_esEs12(xy401, xy301, hf)
17.15/6.66	   new_esEs20(xy4011, xy3011, ty_Char) -> new_esEs7(xy4011, xy3011)
17.15/6.66	   new_primEqNat0(Succ(xy40100), Zero) -> False
17.15/6.66	   new_primEqNat0(Zero, Succ(xy30100)) -> False
17.15/6.66	   new_esEs23(xy4011, xy3011, ty_Integer) -> new_esEs19(xy4011, xy3011)
17.15/6.66	   new_esEs20(xy4011, xy3011, app(ty_[], cf)) -> new_esEs17(xy4011, xy3011, cf)
17.15/6.66	   new_esEs26(xy4011, xy3011, ty_@0) -> new_esEs15(xy4011, xy3011)
17.15/6.66	   new_esEs24(xy4010, xy3010, ty_Integer) -> new_esEs19(xy4010, xy3010)
17.15/6.66	   new_esEs21(xy4010, xy3010, ty_Char) -> new_esEs7(xy4010, xy3010)
17.15/6.66	   new_esEs21(xy4010, xy3010, ty_Bool) -> new_esEs10(xy4010, xy3010)
17.15/6.66	   new_esEs9(Left(xy4010), Right(xy3010), ff, eb) -> False
17.15/6.66	   new_esEs9(Right(xy4010), Left(xy3010), ff, eb) -> False
17.15/6.66	   new_esEs12(Just(xy4010), Just(xy3010), app(app(app(ty_@3, bce), bcf), bcg)) -> new_esEs8(xy4010, xy3010, bce, bcf, bcg)
17.15/6.66	   new_esEs12(Just(xy4010), Just(xy3010), app(app(ty_Either, bch), bda)) -> new_esEs9(xy4010, xy3010, bch, bda)
17.15/6.66	   new_esEs9(Right(xy4010), Right(xy3010), ff, app(app(app(ty_@3, fg), fh), ga)) -> new_esEs8(xy4010, xy3010, fg, fh, ga)
17.15/6.66	   new_esEs22(xy4010, xy3010, app(app(ty_Either, bbf), bbg)) -> new_esEs9(xy4010, xy3010, bbf, bbg)
17.15/6.66	   new_esEs22(xy4010, xy3010, app(app(app(ty_@3, bbc), bbd), bbe)) -> new_esEs8(xy4010, xy3010, bbc, bbd, bbe)
17.15/6.66	   new_esEs9(Right(xy4010), Right(xy3010), ff, ty_Double) -> new_esEs18(xy4010, xy3010)
17.15/6.66	   new_esEs5(xy400, xy300, app(ty_Ratio, bag)) -> new_esEs13(xy400, xy300, bag)
17.15/6.66	   new_esEs26(xy4011, xy3011, app(app(ty_@2, bfh), bga)) -> new_esEs14(xy4011, xy3011, bfh, bga)
17.15/6.66	   new_esEs25(xy4012, xy3012, ty_Float) -> new_esEs16(xy4012, xy3012)
17.15/6.66	   new_esEs23(xy4011, xy3011, ty_Int) -> new_esEs11(xy4011, xy3011)
17.15/6.66	   new_esEs15(@0, @0) -> True
17.15/6.66	   new_deleteBy1(@2(xy400, xy401), :(@2(xy300, xy301), xy31), ba, bb) -> new_deleteBy00(xy31, xy300, xy301, xy400, xy401, new_asAs(new_esEs5(xy400, xy300, ba), new_esEs4(xy401, xy301, bb)), ba, bb)
17.15/6.66	   new_esEs21(xy4010, xy3010, app(ty_[], ea)) -> new_esEs17(xy4010, xy3010, ea)
17.15/6.66	   new_esEs26(xy4011, xy3011, ty_Bool) -> new_esEs10(xy4011, xy3011)
17.15/6.66	   new_primEqInt(Neg(Succ(xy40100)), Neg(Zero)) -> False
17.15/6.66	   new_primEqInt(Neg(Zero), Neg(Succ(xy30100))) -> False
17.15/6.66	   new_esEs5(xy400, xy300, ty_Double) -> new_esEs18(xy400, xy300)
17.15/6.66	   new_esEs20(xy4011, xy3011, ty_Bool) -> new_esEs10(xy4011, xy3011)
17.15/6.66	   new_esEs27(xy4010, xy3010, app(app(app(ty_@3, bgc), bgd), bge)) -> new_esEs8(xy4010, xy3010, bgc, bgd, bge)
17.15/6.66	   new_primEqInt(Pos(Succ(xy40100)), Pos(Succ(xy30100))) -> new_primEqNat0(xy40100, xy30100)
17.15/6.66	   new_esEs4(xy401, xy301, app(app(ty_Either, ff), eb)) -> new_esEs9(xy401, xy301, ff, eb)
17.15/6.66	   new_esEs6(LT, LT) -> True
17.15/6.66	   new_esEs6(LT, GT) -> False
17.15/6.66	   new_esEs6(GT, LT) -> False
17.15/6.66	   new_sr(Pos(xy40100), Neg(xy30110)) -> Neg(new_primMulNat0(xy40100, xy30110))
17.15/6.66	   new_sr(Neg(xy40100), Pos(xy30110)) -> Neg(new_primMulNat0(xy40100, xy30110))
17.15/6.66	   new_esEs21(xy4010, xy3010, ty_@0) -> new_esEs15(xy4010, xy3010)
17.15/6.66	   new_esEs9(Right(xy4010), Right(xy3010), ff, ty_Int) -> new_esEs11(xy4010, xy3010)
17.15/6.66	   new_primPlusNat1(Succ(xy4400), Succ(xy3011000)) -> Succ(Succ(new_primPlusNat1(xy4400, xy3011000)))
17.15/6.66	   new_primEqInt(Pos(Succ(xy40100)), Neg(xy3010)) -> False
17.15/6.66	   new_primEqInt(Neg(Succ(xy40100)), Pos(xy3010)) -> False
17.15/6.66	   new_esEs9(Right(xy4010), Right(xy3010), ff, app(app(ty_Either, gb), gc)) -> new_esEs9(xy4010, xy3010, gb, gc)
17.15/6.66	   new_esEs21(xy4010, xy3010, app(app(ty_@2, dg), dh)) -> new_esEs14(xy4010, xy3010, dg, dh)
17.15/6.66	   new_esEs26(xy4011, xy3011, app(ty_[], bgb)) -> new_esEs17(xy4011, xy3011, bgb)
17.15/6.66	   new_esEs8(@3(xy4010, xy4011, xy4012), @3(xy3010, xy3011, xy3012), hc, hd, he) -> new_asAs(new_esEs27(xy4010, xy3010, hc), new_asAs(new_esEs26(xy4011, xy3011, hd), new_esEs25(xy4012, xy3012, he)))
17.15/6.66	   new_esEs25(xy4012, xy3012, ty_Int) -> new_esEs11(xy4012, xy3012)
17.15/6.66	   new_esEs25(xy4012, xy3012, app(app(app(ty_@3, bdg), bdh), bea)) -> new_esEs8(xy4012, xy3012, bdg, bdh, bea)
17.15/6.66	   new_esEs12(Just(xy4010), Just(xy3010), ty_Float) -> new_esEs16(xy4010, xy3010)
17.15/6.66	   new_esEs27(xy4010, xy3010, ty_Float) -> new_esEs16(xy4010, xy3010)
17.15/6.66	   new_esEs21(xy4010, xy3010, app(ty_Maybe, de)) -> new_esEs12(xy4010, xy3010, de)
17.15/6.66	   new_esEs12(Just(xy4010), Just(xy3010), app(app(ty_@2, bdd), bde)) -> new_esEs14(xy4010, xy3010, bdd, bde)
17.15/6.66	   new_esEs20(xy4011, xy3011, app(app(ty_@2, cd), ce)) -> new_esEs14(xy4011, xy3011, cd, ce)
17.15/6.66	   new_sr(Neg(xy40100), Neg(xy30110)) -> Pos(new_primMulNat0(xy40100, xy30110))
17.15/6.66	   new_esEs9(Right(xy4010), Right(xy3010), ff, ty_Integer) -> new_esEs19(xy4010, xy3010)
17.15/6.66	   new_esEs14(@2(xy4010, xy4011), @2(xy3010, xy3011), bc, bd) -> new_asAs(new_esEs21(xy4010, xy3010, bc), new_esEs20(xy4011, xy3011, bd))
17.15/6.66	   new_esEs4(xy401, xy301, ty_Int) -> new_esEs11(xy401, xy301)
17.15/6.66	   new_esEs4(xy401, xy301, app(app(app(ty_@3, hc), hd), he)) -> new_esEs8(xy401, xy301, hc, hd, he)
17.15/6.66	   new_esEs17([], [], hh) -> True
17.15/6.66	   new_esEs26(xy4011, xy3011, app(app(ty_Either, bfd), bfe)) -> new_esEs9(xy4011, xy3011, bfd, bfe)
17.15/6.66	   new_esEs27(xy4010, xy3010, app(app(ty_@2, bhb), bhc)) -> new_esEs14(xy4010, xy3010, bhb, bhc)
17.15/6.66	   new_esEs22(xy4010, xy3010, ty_Ordering) -> new_esEs6(xy4010, xy3010)
17.15/6.66	   new_esEs25(xy4012, xy3012, ty_Char) -> new_esEs7(xy4012, xy3012)
17.15/6.66	   new_primEqInt(Pos(Zero), Neg(Succ(xy30100))) -> False
17.15/6.66	   new_primEqInt(Neg(Zero), Pos(Succ(xy30100))) -> False
17.15/6.66	   new_esEs5(xy400, xy300, app(app(ty_Either, bad), bae)) -> new_esEs9(xy400, xy300, bad, bae)
17.15/6.66	   new_esEs9(Left(xy4010), Left(xy3010), ty_Bool, eb) -> new_esEs10(xy4010, xy3010)
17.15/6.66	   new_esEs7(Char(xy4010), Char(xy3010)) -> new_primEqNat0(xy4010, xy3010)
17.15/6.66	   new_esEs10(False, False) -> True
17.15/6.66	   new_esEs9(Left(xy4010), Left(xy3010), ty_Integer, eb) -> new_esEs19(xy4010, xy3010)
17.15/6.66	   new_esEs9(Right(xy4010), Right(xy3010), ff, ty_@0) -> new_esEs15(xy4010, xy3010)
17.15/6.66	   new_primEqInt(Neg(Succ(xy40100)), Neg(Succ(xy30100))) -> new_primEqNat0(xy40100, xy30100)
17.15/6.66	   new_esEs4(xy401, xy301, ty_Char) -> new_esEs7(xy401, xy301)
17.15/6.66	   new_esEs10(True, True) -> True
17.15/6.66	   new_esEs5(xy400, xy300, ty_Ordering) -> new_esEs6(xy400, xy300)
17.15/6.66	   new_esEs9(Left(xy4010), Left(xy3010), app(ty_[], fd), eb) -> new_esEs17(xy4010, xy3010, fd)
17.15/6.66	   new_esEs22(xy4010, xy3010, app(app(ty_@2, bcb), bcc)) -> new_esEs14(xy4010, xy3010, bcb, bcc)
17.15/6.66	   new_esEs20(xy4011, xy3011, ty_Float) -> new_esEs16(xy4011, xy3011)
17.15/6.66	   new_esEs26(xy4011, xy3011, ty_Ordering) -> new_esEs6(xy4011, xy3011)
17.15/6.66	   new_primPlusNat0(Succ(xy440), xy301100) -> Succ(Succ(new_primPlusNat1(xy440, xy301100)))
17.15/6.66	   new_esEs4(xy401, xy301, ty_@0) -> new_esEs15(xy401, xy301)
17.15/6.66	   new_esEs25(xy4012, xy3012, ty_@0) -> new_esEs15(xy4012, xy3012)
17.15/6.66	   new_esEs27(xy4010, xy3010, ty_Int) -> new_esEs11(xy4010, xy3010)
17.15/6.66	   new_esEs9(Left(xy4010), Left(xy3010), app(app(ty_@2, fb), fc), eb) -> new_esEs14(xy4010, xy3010, fb, fc)
17.15/6.66	   new_esEs25(xy4012, xy3012, app(app(ty_@2, bef), beg)) -> new_esEs14(xy4012, xy3012, bef, beg)
17.15/6.66	   new_esEs27(xy4010, xy3010, ty_Char) -> new_esEs7(xy4010, xy3010)
17.15/6.66	   new_esEs25(xy4012, xy3012, ty_Double) -> new_esEs18(xy4012, xy3012)
17.15/6.66	   new_esEs4(xy401, xy301, ty_Integer) -> new_esEs19(xy401, xy301)
17.15/6.66	   new_primPlusNat1(Zero, Zero) -> Zero
17.15/6.66	   new_primMulNat0(Succ(xy401000), Zero) -> Zero
17.15/6.66	   new_primMulNat0(Zero, Succ(xy301100)) -> Zero
17.15/6.66	   new_esEs12(Just(xy4010), Just(xy3010), ty_Char) -> new_esEs7(xy4010, xy3010)
17.15/6.66	   new_sr(Pos(xy40100), Pos(xy30110)) -> Pos(new_primMulNat0(xy40100, xy30110))
17.15/6.66	   new_deleteBy00(xy25, xy26, xy27, xy28, xy29, False, ha, hb) -> :(@2(xy26, xy27), new_deleteBy1(@2(xy28, xy29), xy25, ha, hb))
17.15/6.66	   new_esEs22(xy4010, xy3010, app(ty_[], bcd)) -> new_esEs17(xy4010, xy3010, bcd)
17.15/6.66	   new_primPlusNat0(Zero, xy301100) -> Succ(xy301100)
17.15/6.66	   new_esEs9(Left(xy4010), Left(xy3010), ty_Double, eb) -> new_esEs18(xy4010, xy3010)
17.15/6.66	   new_esEs20(xy4011, xy3011, ty_Ordering) -> new_esEs6(xy4011, xy3011)
17.15/6.66	   new_esEs12(Just(xy4010), Just(xy3010), ty_Int) -> new_esEs11(xy4010, xy3010)
17.15/6.66	   new_esEs4(xy401, xy301, ty_Double) -> new_esEs18(xy401, xy301)
17.15/6.66	   new_esEs9(Left(xy4010), Left(xy3010), ty_@0, eb) -> new_esEs15(xy4010, xy3010)
17.15/6.66	   new_esEs9(Right(xy4010), Right(xy3010), ff, app(ty_[], gh)) -> new_esEs17(xy4010, xy3010, gh)
17.15/6.66	   new_esEs20(xy4011, xy3011, app(app(app(ty_@3, be), bf), bg)) -> new_esEs8(xy4011, xy3011, be, bf, bg)
17.15/6.66	   new_esEs25(xy4012, xy3012, app(ty_Maybe, bed)) -> new_esEs12(xy4012, xy3012, bed)
17.15/6.66	   new_esEs9(Right(xy4010), Right(xy3010), ff, app(app(ty_@2, gf), gg)) -> new_esEs14(xy4010, xy3010, gf, gg)
17.15/6.66	   new_esEs20(xy4011, xy3011, ty_Int) -> new_esEs11(xy4011, xy3011)
17.15/6.66	   new_esEs9(Right(xy4010), Right(xy3010), ff, app(ty_Ratio, ge)) -> new_esEs13(xy4010, xy3010, ge)
17.15/6.66	   new_primEqInt(Neg(Zero), Neg(Zero)) -> True
17.15/6.66	   new_esEs12(Just(xy4010), Just(xy3010), app(ty_[], bdf)) -> new_esEs17(xy4010, xy3010, bdf)
17.15/6.66	   new_esEs26(xy4011, xy3011, ty_Double) -> new_esEs18(xy4011, xy3011)
17.15/6.66	   new_esEs12(Just(xy4010), Just(xy3010), ty_Ordering) -> new_esEs6(xy4010, xy3010)
17.15/6.66	   new_esEs6(EQ, EQ) -> True
17.15/6.66	   new_primMulNat0(Succ(xy401000), Succ(xy301100)) -> new_primPlusNat0(new_primMulNat0(xy401000, Succ(xy301100)), xy301100)
17.15/6.66	   new_esEs18(Double(xy4010, xy4011), Double(xy3010, xy3011)) -> new_esEs11(new_sr(xy4010, xy3011), new_sr(xy4011, xy3010))
17.15/6.66	   new_esEs21(xy4010, xy3010, app(app(ty_Either, dc), dd)) -> new_esEs9(xy4010, xy3010, dc, dd)
17.15/6.66	   new_esEs9(Left(xy4010), Left(xy3010), ty_Ordering, eb) -> new_esEs6(xy4010, xy3010)
17.15/6.66	   new_esEs25(xy4012, xy3012, ty_Integer) -> new_esEs19(xy4012, xy3012)
17.15/6.66	   new_esEs22(xy4010, xy3010, ty_Char) -> new_esEs7(xy4010, xy3010)
17.15/6.66	   new_esEs6(GT, GT) -> True
17.15/6.66	   new_esEs12(Just(xy4010), Just(xy3010), ty_Double) -> new_esEs18(xy4010, xy3010)
17.15/6.66	   new_esEs26(xy4011, xy3011, app(ty_Maybe, bff)) -> new_esEs12(xy4011, xy3011, bff)
17.15/6.66	   new_primPlusNat1(Succ(xy4400), Zero) -> Succ(xy4400)
17.15/6.66	   new_primPlusNat1(Zero, Succ(xy3011000)) -> Succ(xy3011000)
17.15/6.66	   new_esEs5(xy400, xy300, app(app(ty_@2, bah), bba)) -> new_esEs14(xy400, xy300, bah, bba)
17.15/6.66	   new_esEs21(xy4010, xy3010, ty_Int) -> new_esEs11(xy4010, xy3010)
17.15/6.66	   new_esEs4(xy401, xy301, ty_Float) -> new_esEs16(xy401, xy301)
17.15/6.66	   new_esEs4(xy401, xy301, ty_Bool) -> new_esEs10(xy401, xy301)
17.15/6.66	   new_esEs27(xy4010, xy3010, ty_Double) -> new_esEs18(xy4010, xy3010)
17.15/6.66	   new_esEs5(xy400, xy300, ty_@0) -> new_esEs15(xy400, xy300)
17.15/6.66	   new_primEqInt(Pos(Zero), Neg(Zero)) -> True
17.15/6.66	   new_primEqInt(Neg(Zero), Pos(Zero)) -> True
17.15/6.66	   new_primEqNat0(Zero, Zero) -> True
17.15/6.66	   new_esEs21(xy4010, xy3010, ty_Ordering) -> new_esEs6(xy4010, xy3010)
17.15/6.66	   new_esEs5(xy400, xy300, ty_Bool) -> new_esEs10(xy400, xy300)
17.15/6.66	   new_esEs21(xy4010, xy3010, app(ty_Ratio, df)) -> new_esEs13(xy4010, xy3010, df)
17.15/6.66	   new_esEs19(Integer(xy4010), Integer(xy3010)) -> new_primEqInt(xy4010, xy3010)
17.15/6.66	   new_esEs17(:(xy4010, xy4011), [], hh) -> False
17.15/6.66	   new_esEs17([], :(xy3010, xy3011), hh) -> False
17.15/6.66	   new_asAs(False, xy43) -> False
17.15/6.66	   new_esEs26(xy4011, xy3011, app(ty_Ratio, bfg)) -> new_esEs13(xy4011, xy3011, bfg)
17.15/6.66	   new_deleteBy00(xy25, xy26, xy27, xy28, xy29, True, ha, hb) -> xy25
17.15/6.66	   new_esEs6(LT, EQ) -> False
17.15/6.66	   new_esEs6(EQ, LT) -> False
17.15/6.66	   new_esEs26(xy4011, xy3011, ty_Int) -> new_esEs11(xy4011, xy3011)
17.15/6.66	   new_esEs21(xy4010, xy3010, ty_Integer) -> new_esEs19(xy4010, xy3010)
17.15/6.66	   new_esEs5(xy400, xy300, ty_Char) -> new_esEs7(xy400, xy300)
17.15/6.66	   new_esEs5(xy400, xy300, app(ty_[], bbb)) -> new_esEs17(xy400, xy300, bbb)
17.15/6.66	   new_esEs22(xy4010, xy3010, ty_Float) -> new_esEs16(xy4010, xy3010)
17.15/6.66	   new_esEs26(xy4011, xy3011, ty_Integer) -> new_esEs19(xy4011, xy3011)
17.15/6.66	   new_esEs27(xy4010, xy3010, ty_Ordering) -> new_esEs6(xy4010, xy3010)
17.15/6.66	   new_esEs21(xy4010, xy3010, ty_Double) -> new_esEs18(xy4010, xy3010)
17.15/6.66	   new_esEs20(xy4011, xy3011, app(ty_Maybe, cb)) -> new_esEs12(xy4011, xy3011, cb)
17.15/6.66	   new_esEs11(xy401, xy301) -> new_primEqInt(xy401, xy301)
17.15/6.66	   new_esEs9(Right(xy4010), Right(xy3010), ff, ty_Char) -> new_esEs7(xy4010, xy3010)
17.15/6.66	   new_esEs20(xy4011, xy3011, app(app(ty_Either, bh), ca)) -> new_esEs9(xy4011, xy3011, bh, ca)
17.15/6.66	   new_esEs9(Right(xy4010), Right(xy3010), ff, ty_Bool) -> new_esEs10(xy4010, xy3010)
17.15/6.66	
17.15/6.66	The set Q consists of the following terms:
17.15/6.66	
17.15/6.66	   new_primEqInt(Neg(Succ(x0)), Neg(Zero))
17.15/6.66	   new_esEs27(x0, x1, app(app(app(ty_@3, x2), x3), x4))
17.15/6.66	   new_primEqNat0(Zero, Succ(x0))
17.15/6.66	   new_esEs5(x0, x1, app(app(app(ty_@3, x2), x3), x4))
17.15/6.66	   new_esEs12(Just(x0), Just(x1), ty_Char)
17.15/6.66	   new_esEs22(x0, x1, ty_Bool)
17.15/6.66	   new_esEs4(x0, x1, app(ty_Ratio, x2))
17.15/6.66	   new_esEs12(Just(x0), Just(x1), app(app(app(ty_@3, x2), x3), x4))
17.15/6.66	   new_esEs27(x0, x1, ty_@0)
17.15/6.66	   new_esEs9(Left(x0), Left(x1), ty_Int, x2)
17.15/6.66	   new_asAs(True, x0)
17.15/6.66	   new_deleteBy1(@2(x0, x1), :(@2(x2, x3), x4), x5, x6)
17.15/6.66	   new_esEs17(:(x0, x1), :(x2, x3), x4)
17.15/6.66	   new_esEs27(x0, x1, app(app(ty_@2, x2), x3))
17.15/6.66	   new_esEs26(x0, x1, app(ty_[], x2))
17.15/6.66	   new_esEs9(Left(x0), Left(x1), ty_Char, x2)
17.15/6.66	   new_primMulNat0(Zero, Zero)
17.15/6.66	   new_esEs12(Just(x0), Just(x1), ty_Int)
17.15/6.66	   new_primPlusNat1(Zero, Zero)
17.15/6.66	   new_esEs26(x0, x1, ty_Integer)
17.15/6.66	   new_esEs20(x0, x1, app(ty_[], x2))
17.15/6.66	   new_esEs23(x0, x1, ty_Integer)
17.15/6.66	   new_esEs9(Right(x0), Right(x1), x2, ty_Double)
17.15/6.66	   new_esEs9(Right(x0), Right(x1), x2, app(ty_Maybe, x3))
17.15/6.66	   new_esEs9(Right(x0), Right(x1), x2, app(app(app(ty_@3, x3), x4), x5))
17.15/6.66	   new_esEs26(x0, x1, ty_Bool)
17.15/6.66	   new_esEs9(Left(x0), Left(x1), ty_Ordering, x2)
17.15/6.66	   new_esEs21(x0, x1, app(ty_[], x2))
17.15/6.66	   new_esEs9(Right(x0), Right(x1), x2, ty_Ordering)
17.15/6.66	   new_esEs9(Left(x0), Left(x1), app(ty_Ratio, x2), x3)
17.15/6.66	   new_esEs21(x0, x1, app(app(ty_@2, x2), x3))
17.15/6.66	   new_primEqInt(Pos(Zero), Pos(Zero))
17.15/6.66	   new_esEs21(x0, x1, app(app(app(ty_@3, x2), x3), x4))
17.15/6.66	   new_esEs5(x0, x1, ty_@0)
17.15/6.66	   new_esEs27(x0, x1, ty_Bool)
17.15/6.66	   new_esEs9(Right(x0), Right(x1), x2, ty_Float)
17.15/6.66	   new_esEs16(Float(x0, x1), Float(x2, x3))
17.15/6.66	   new_esEs26(x0, x1, ty_@0)
17.15/6.66	   new_primEqInt(Pos(Succ(x0)), Neg(x1))
17.15/6.66	   new_primEqInt(Neg(Succ(x0)), Pos(x1))
17.15/6.66	   new_esEs22(x0, x1, ty_@0)
17.15/6.66	   new_esEs20(x0, x1, ty_Integer)
17.15/6.66	   new_esEs25(x0, x1, ty_Integer)
17.15/6.66	   new_esEs21(x0, x1, app(ty_Maybe, x2))
17.15/6.66	   new_esEs6(EQ, EQ)
17.15/6.66	   new_esEs12(Just(x0), Just(x1), ty_Float)
17.15/6.66	   new_esEs22(x0, x1, app(app(ty_@2, x2), x3))
17.15/6.66	   new_esEs9(Left(x0), Left(x1), ty_Float, x2)
17.15/6.66	   new_primEqInt(Neg(Zero), Neg(Zero))
17.15/6.66	   new_esEs27(x0, x1, app(ty_Maybe, x2))
17.15/6.66	   new_esEs11(x0, x1)
17.15/6.66	   new_esEs5(x0, x1, ty_Integer)
17.15/6.66	   new_esEs17([], [], x0)
17.15/6.66	   new_esEs21(x0, x1, ty_Bool)
17.15/6.66	   new_esEs4(x0, x1, ty_Bool)
17.15/6.66	   new_esEs9(Left(x0), Left(x1), app(ty_[], x2), x3)
17.15/6.66	   new_esEs18(Double(x0, x1), Double(x2, x3))
17.15/6.66	   new_esEs6(EQ, GT)
17.15/6.66	   new_esEs6(GT, EQ)
17.15/6.66	   new_esEs26(x0, x1, app(app(ty_Either, x2), x3))
17.15/6.66	   new_esEs4(x0, x1, ty_Float)
17.15/6.66	   new_esEs25(x0, x1, app(app(ty_@2, x2), x3))
17.15/6.66	   new_esEs22(x0, x1, app(ty_[], x2))
17.15/6.66	   new_esEs12(Just(x0), Just(x1), ty_@0)
17.15/6.66	   new_esEs9(Left(x0), Right(x1), x2, x3)
17.15/6.66	   new_esEs9(Right(x0), Left(x1), x2, x3)
17.15/6.66	   new_esEs4(x0, x1, ty_Double)
17.15/6.66	   new_esEs4(x0, x1, app(app(ty_@2, x2), x3))
17.15/6.66	   new_esEs27(x0, x1, ty_Char)
17.15/6.66	   new_esEs25(x0, x1, app(app(ty_Either, x2), x3))
17.15/6.66	   new_esEs9(Right(x0), Right(x1), x2, ty_Integer)
17.15/6.66	   new_esEs4(x0, x1, ty_@0)
17.15/6.66	   new_primPlusNat1(Succ(x0), Succ(x1))
17.15/6.66	   new_esEs9(Right(x0), Right(x1), x2, ty_Int)
17.15/6.66	   new_esEs20(x0, x1, ty_Float)
17.15/6.66	   new_esEs9(Right(x0), Right(x1), x2, ty_Char)
17.15/6.66	   new_esEs12(Just(x0), Just(x1), app(ty_[], x2))
17.15/6.66	   new_esEs10(True, True)
17.15/6.66	   new_esEs9(Left(x0), Left(x1), ty_Double, x2)
17.15/6.66	   new_esEs9(Right(x0), Right(x1), x2, app(app(ty_Either, x3), x4))
17.15/6.66	   new_esEs9(Left(x0), Left(x1), app(app(app(ty_@3, x2), x3), x4), x5)
17.15/6.66	   new_esEs21(x0, x1, ty_Char)
17.15/6.66	   new_esEs25(x0, x1, ty_Ordering)
17.15/6.66	   new_esEs6(LT, LT)
17.15/6.66	   new_primMulNat0(Succ(x0), Zero)
17.15/6.66	   new_esEs22(x0, x1, ty_Integer)
17.15/6.66	   new_primEqInt(Pos(Zero), Neg(Zero))
17.15/6.66	   new_primEqInt(Neg(Zero), Pos(Zero))
17.15/6.66	   new_esEs9(Right(x0), Right(x1), x2, ty_Bool)
17.15/6.66	   new_esEs24(x0, x1, ty_Int)
17.15/6.66	   new_sr(Neg(x0), Neg(x1))
17.15/6.66	   new_deleteBy1(x0, [], x1, x2)
17.15/6.66	   new_esEs26(x0, x1, ty_Float)
17.15/6.66	   new_esEs22(x0, x1, app(app(app(ty_@3, x2), x3), x4))
17.15/6.66	   new_deleteBy00(x0, x1, x2, x3, x4, True, x5, x6)
17.15/6.66	   new_esEs4(x0, x1, ty_Int)
17.15/6.66	   new_esEs25(x0, x1, app(ty_Maybe, x2))
17.15/6.66	   new_esEs5(x0, x1, app(ty_Ratio, x2))
17.15/6.66	   new_esEs5(x0, x1, ty_Char)
17.15/6.66	   new_esEs26(x0, x1, app(app(ty_@2, x2), x3))
17.15/6.66	   new_esEs21(x0, x1, ty_@0)
17.15/6.66	   new_esEs7(Char(x0), Char(x1))
17.15/6.66	   new_esEs6(LT, GT)
17.15/6.66	   new_esEs6(GT, LT)
17.15/6.66	   new_esEs17(:(x0, x1), [], x2)
17.15/6.66	   new_esEs25(x0, x1, app(ty_Ratio, x2))
17.15/6.66	   new_esEs12(Just(x0), Just(x1), ty_Bool)
17.15/6.66	   new_esEs21(x0, x1, ty_Float)
17.15/6.66	   new_esEs20(x0, x1, app(ty_Ratio, x2))
17.15/6.66	   new_esEs6(LT, EQ)
17.15/6.66	   new_esEs6(EQ, LT)
17.15/6.66	   new_esEs5(x0, x1, ty_Bool)
17.15/6.66	   new_esEs5(x0, x1, ty_Double)
17.15/6.66	   new_esEs8(@3(x0, x1, x2), @3(x3, x4, x5), x6, x7, x8)
17.15/6.66	   new_esEs6(GT, GT)
17.15/6.66	   new_esEs21(x0, x1, app(app(ty_Either, x2), x3))
17.15/6.66	   new_esEs12(Just(x0), Just(x1), ty_Double)
17.15/6.66	   new_esEs9(Left(x0), Left(x1), ty_Bool, x2)
17.15/6.66	   new_esEs27(x0, x1, ty_Int)
17.15/6.66	   new_esEs14(@2(x0, x1), @2(x2, x3), x4, x5)
17.15/6.66	   new_esEs22(x0, x1, ty_Ordering)
17.15/6.66	   new_esEs21(x0, x1, app(ty_Ratio, x2))
17.15/6.66	   new_primPlusNat1(Zero, Succ(x0))
17.15/6.66	   new_esEs26(x0, x1, ty_Int)
17.15/6.66	   new_esEs5(x0, x1, ty_Ordering)
17.15/6.66	   new_esEs12(Just(x0), Just(x1), app(app(ty_Either, x2), x3))
17.15/6.66	   new_esEs9(Left(x0), Left(x1), ty_Integer, x2)
17.15/6.66	   new_esEs4(x0, x1, ty_Char)
17.15/6.66	   new_esEs21(x0, x1, ty_Ordering)
17.15/6.66	   new_esEs12(Nothing, Just(x0), x1)
17.15/6.66	   new_esEs15(@0, @0)
17.15/6.66	   new_esEs26(x0, x1, app(app(app(ty_@3, x2), x3), x4))
17.15/6.66	   new_esEs22(x0, x1, ty_Double)
17.15/6.66	   new_primEqInt(Neg(Zero), Neg(Succ(x0)))
17.15/6.66	   new_sr(Pos(x0), Pos(x1))
17.15/6.66	   new_esEs27(x0, x1, ty_Double)
17.15/6.66	   new_primEqInt(Pos(Zero), Pos(Succ(x0)))
17.15/6.66	   new_esEs4(x0, x1, app(app(ty_Either, x2), x3))
17.15/6.66	   new_esEs21(x0, x1, ty_Int)
17.15/6.66	   new_esEs21(x0, x1, ty_Double)
17.15/6.66	   new_esEs5(x0, x1, app(app(ty_@2, x2), x3))
17.15/6.66	   new_esEs20(x0, x1, app(app(app(ty_@3, x2), x3), x4))
17.15/6.66	   new_esEs20(x0, x1, ty_Char)
17.15/6.66	   new_primEqInt(Pos(Zero), Neg(Succ(x0)))
17.15/6.66	   new_primEqInt(Neg(Zero), Pos(Succ(x0)))
17.15/6.66	   new_esEs25(x0, x1, app(app(app(ty_@3, x2), x3), x4))
17.15/6.66	   new_esEs5(x0, x1, app(ty_[], x2))
17.15/6.66	   new_esEs27(x0, x1, ty_Float)
17.15/6.66	   new_esEs5(x0, x1, ty_Int)
17.15/6.66	   new_esEs22(x0, x1, ty_Float)
17.15/6.66	   new_esEs26(x0, x1, ty_Double)
17.15/6.66	   new_esEs20(x0, x1, app(ty_Maybe, x2))
17.15/6.66	   new_esEs20(x0, x1, ty_Int)
17.15/6.66	   new_deleteBy00(x0, x1, x2, x3, x4, False, x5, x6)
17.15/6.66	   new_esEs26(x0, x1, ty_Char)
17.15/6.66	   new_esEs27(x0, x1, app(ty_[], x2))
17.15/6.66	   new_esEs5(x0, x1, app(ty_Maybe, x2))
17.15/6.66	   new_primEqInt(Neg(Succ(x0)), Neg(Succ(x1)))
17.15/6.66	   new_sr(Pos(x0), Neg(x1))
17.15/6.66	   new_sr(Neg(x0), Pos(x1))
17.15/6.66	   new_esEs9(Right(x0), Right(x1), x2, app(ty_Ratio, x3))
17.15/6.66	   new_esEs26(x0, x1, ty_Ordering)
17.15/6.66	   new_primMulNat0(Zero, Succ(x0))
17.15/6.66	   new_esEs5(x0, x1, ty_Float)
17.15/6.66	   new_esEs26(x0, x1, app(ty_Ratio, x2))
17.15/6.66	   new_esEs27(x0, x1, app(app(ty_Either, x2), x3))
17.15/6.66	   new_esEs22(x0, x1, ty_Char)
17.15/6.66	   new_esEs9(Right(x0), Right(x1), x2, ty_@0)
17.15/6.66	   new_esEs4(x0, x1, app(ty_[], x2))
17.15/6.66	   new_primEqNat0(Succ(x0), Succ(x1))
17.15/6.66	   new_esEs9(Left(x0), Left(x1), ty_@0, x2)
17.15/6.66	   new_primEqInt(Pos(Succ(x0)), Pos(Succ(x1)))
17.15/6.66	   new_esEs12(Just(x0), Just(x1), ty_Integer)
17.15/6.66	   new_esEs20(x0, x1, ty_Ordering)
17.15/6.66	   new_esEs22(x0, x1, ty_Int)
17.15/6.66	   new_esEs20(x0, x1, ty_@0)
17.15/6.66	   new_esEs23(x0, x1, ty_Int)
17.15/6.66	   new_esEs4(x0, x1, app(ty_Maybe, x2))
17.15/6.66	   new_esEs10(False, False)
17.15/6.66	   new_esEs12(Just(x0), Just(x1), app(ty_Maybe, x2))
17.15/6.66	   new_esEs26(x0, x1, app(ty_Maybe, x2))
17.15/6.66	   new_esEs27(x0, x1, ty_Integer)
17.15/6.66	   new_primEqNat0(Zero, Zero)
17.15/6.66	   new_esEs12(Nothing, Nothing, x0)
17.15/6.66	   new_esEs20(x0, x1, ty_Bool)
17.15/6.66	   new_esEs4(x0, x1, app(app(app(ty_@3, x2), x3), x4))
17.15/6.66	   new_esEs22(x0, x1, app(ty_Ratio, x2))
17.15/6.66	   new_esEs4(x0, x1, ty_Ordering)
17.15/6.66	   new_esEs9(Right(x0), Right(x1), x2, app(app(ty_@2, x3), x4))
17.15/6.66	   new_esEs9(Left(x0), Left(x1), app(app(ty_Either, x2), x3), x4)
17.15/6.66	   new_esEs19(Integer(x0), Integer(x1))
17.15/6.66	   new_esEs9(Left(x0), Left(x1), app(ty_Maybe, x2), x3)
17.15/6.66	   new_esEs5(x0, x1, app(app(ty_Either, x2), x3))
17.15/6.66	   new_esEs20(x0, x1, app(app(ty_@2, x2), x3))
17.15/6.66	   new_esEs12(Just(x0), Just(x1), app(ty_Ratio, x2))
17.15/6.66	   new_esEs25(x0, x1, ty_Float)
17.15/6.66	   new_esEs20(x0, x1, app(app(ty_Either, x2), x3))
17.15/6.66	   new_esEs25(x0, x1, ty_Bool)
17.15/6.66	   new_esEs9(Right(x0), Right(x1), x2, app(ty_[], x3))
17.15/6.66	   new_esEs12(Just(x0), Just(x1), ty_Ordering)
17.15/6.66	   new_esEs25(x0, x1, ty_@0)
17.15/6.66	   new_primPlusNat1(Succ(x0), Zero)
17.15/6.66	   new_esEs12(Just(x0), Nothing, x1)
17.15/6.66	   new_esEs20(x0, x1, ty_Double)
17.15/6.66	   new_esEs27(x0, x1, app(ty_Ratio, x2))
17.15/6.66	   new_esEs27(x0, x1, ty_Ordering)
17.15/6.66	   new_esEs21(x0, x1, ty_Integer)
17.15/6.66	   new_primPlusNat0(Zero, x0)
17.15/6.66	   new_esEs22(x0, x1, app(app(ty_Either, x2), x3))
17.15/6.66	   new_esEs24(x0, x1, ty_Integer)
17.15/6.66	   new_esEs25(x0, x1, ty_Int)
17.15/6.66	   new_esEs10(False, True)
17.15/6.66	   new_esEs10(True, False)
17.15/6.66	   new_esEs22(x0, x1, app(ty_Maybe, x2))
17.15/6.66	   new_primEqInt(Pos(Succ(x0)), Pos(Zero))
17.15/6.66	   new_primEqNat0(Succ(x0), Zero)
17.15/6.66	   new_esEs25(x0, x1, ty_Char)
17.15/6.66	   new_esEs25(x0, x1, app(ty_[], x2))
17.15/6.66	   new_primPlusNat0(Succ(x0), x1)
17.15/6.66	   new_esEs13(:%(x0, x1), :%(x2, x3), x4)
17.15/6.66	   new_esEs9(Left(x0), Left(x1), app(app(ty_@2, x2), x3), x4)
17.15/6.66	   new_asAs(False, x0)
17.15/6.66	   new_esEs4(x0, x1, ty_Integer)
17.15/6.66	   new_primMulNat0(Succ(x0), Succ(x1))
17.15/6.66	   new_esEs17([], :(x0, x1), x2)
17.15/6.66	   new_esEs12(Just(x0), Just(x1), app(app(ty_@2, x2), x3))
17.15/6.66	   new_esEs25(x0, x1, ty_Double)
17.15/6.66	
17.15/6.66	We have to consider all minimal (P,Q,R)-chains.
17.15/6.66	----------------------------------------
17.15/6.66	
17.15/6.66	(10) QDPSizeChangeProof (EQUIVALENT)
17.15/6.66	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. 
17.15/6.66	
17.15/6.66	From the DPs we obtained the following set of size-change graphs:
17.15/6.66	*new_foldl(xy3, :(xy40, xy41), ba, bb) -> new_foldl(new_deleteBy1(xy40, xy3, ba, bb), xy41, ba, bb)
17.15/6.66	The graph contains the following edges 2 > 2, 3 >= 3, 4 >= 4
17.15/6.66	
17.15/6.66	
17.15/6.66	----------------------------------------
17.15/6.66	
17.15/6.66	(11)
17.15/6.66	YES
17.15/6.66	
17.15/6.66	----------------------------------------
17.15/6.66	
17.15/6.66	(12)
17.15/6.66	Obligation:
17.15/6.66	Q DP problem:
17.15/6.66	The TRS P consists of the following rules:
17.15/6.66	
17.15/6.66	   new_deleteBy0(xy25, xy26, xy27, xy28, xy29, False, ba, bb) -> new_deleteBy(@2(xy28, xy29), xy25, ba, bb)
17.15/6.66	   new_deleteBy(@2(xy400, xy401), :(@2(xy300, xy301), xy31), bc, bd) -> new_deleteBy0(xy31, xy300, xy301, xy400, xy401, new_asAs(new_esEs5(xy400, xy300, bc), new_esEs4(xy401, xy301, bd)), bc, bd)
17.15/6.66	
17.15/6.66	The TRS R consists of the following rules:
17.15/6.66	
17.15/6.66	   new_esEs12(Just(xy4010), Just(xy3010), ty_Bool) -> new_esEs10(xy4010, xy3010)
17.15/6.66	   new_esEs22(xy4010, xy3010, ty_@0) -> new_esEs15(xy4010, xy3010)
17.15/6.66	   new_esEs27(xy4010, xy3010, app(ty_Ratio, bha)) -> new_esEs13(xy4010, xy3010, bha)
17.15/6.66	   new_esEs20(xy4011, xy3011, ty_Integer) -> new_esEs19(xy4011, xy3011)
17.15/6.66	   new_primEqInt(Pos(Zero), Pos(Zero)) -> True
17.15/6.66	   new_esEs25(xy4012, xy3012, app(app(ty_Either, beb), bec)) -> new_esEs9(xy4012, xy3012, beb, bec)
17.15/6.66	   new_esEs5(xy400, xy300, ty_Int) -> new_esEs11(xy400, xy300)
17.15/6.66	   new_esEs4(xy401, xy301, app(ty_[], cf)) -> new_esEs17(xy401, xy301, cf)
17.15/6.66	   new_esEs26(xy4011, xy3011, ty_Char) -> new_esEs7(xy4011, xy3011)
17.15/6.66	   new_esEs22(xy4010, xy3010, ty_Double) -> new_esEs18(xy4010, xy3010)
17.15/6.66	   new_esEs9(Left(xy4010), Left(xy3010), app(ty_Maybe, gb), ca) -> new_esEs12(xy4010, xy3010, gb)
17.15/6.66	   new_esEs26(xy4011, xy3011, app(app(app(ty_@3, bfa), bfb), bfc)) -> new_esEs8(xy4011, xy3011, bfa, bfb, bfc)
17.15/6.66	   new_esEs24(xy4010, xy3010, ty_Int) -> new_esEs11(xy4010, xy3010)
17.15/6.66	   new_esEs4(xy401, xy301, ty_Ordering) -> new_esEs6(xy401, xy301)
17.15/6.66	   new_esEs9(Left(xy4010), Left(xy3010), ty_Float, ca) -> new_esEs16(xy4010, xy3010)
17.15/6.66	   new_esEs22(xy4010, xy3010, app(ty_Maybe, baf)) -> new_esEs12(xy4010, xy3010, baf)
17.15/6.66	   new_esEs16(Float(xy4010, xy4011), Float(xy3010, xy3011)) -> new_esEs11(new_sr(xy4010, xy3011), new_sr(xy4011, xy3010))
17.15/6.66	   new_esEs5(xy400, xy300, app(app(app(ty_@3, bce), bcf), bcg)) -> new_esEs8(xy400, xy300, bce, bcf, bcg)
17.15/6.66	   new_esEs12(Just(xy4010), Just(xy3010), app(ty_Maybe, bbh)) -> new_esEs12(xy4010, xy3010, bbh)
17.15/6.66	   new_esEs9(Left(xy4010), Left(xy3010), ty_Int, ca) -> new_esEs11(xy4010, xy3010)
17.15/6.66	   new_esEs9(Left(xy4010), Left(xy3010), ty_Char, ca) -> new_esEs7(xy4010, xy3010)
17.15/6.66	   new_esEs10(False, True) -> False
17.15/6.66	   new_esEs10(True, False) -> False
17.15/6.66	   new_esEs20(xy4011, xy3011, app(ty_Ratio, df)) -> new_esEs13(xy4011, xy3011, df)
17.15/6.66	   new_esEs9(Left(xy4010), Left(xy3010), app(app(ty_Either, fh), ga), ca) -> new_esEs9(xy4010, xy3010, fh, ga)
17.15/6.66	   new_esEs25(xy4012, xy3012, app(ty_Ratio, bee)) -> new_esEs13(xy4012, xy3012, bee)
17.15/6.66	   new_esEs22(xy4010, xy3010, ty_Integer) -> new_esEs19(xy4010, xy3010)
17.15/6.66	   new_esEs25(xy4012, xy3012, ty_Ordering) -> new_esEs6(xy4012, xy3012)
17.15/6.66	   new_asAs(True, xy43) -> xy43
17.15/6.66	   new_esEs25(xy4012, xy3012, ty_Bool) -> new_esEs10(xy4012, xy3012)
17.15/6.66	   new_esEs27(xy4010, xy3010, app(ty_Maybe, bgh)) -> new_esEs12(xy4010, xy3010, bgh)
17.15/6.66	   new_esEs9(Right(xy4010), Right(xy3010), bh, app(ty_Maybe, hd)) -> new_esEs12(xy4010, xy3010, hd)
17.15/6.66	   new_esEs20(xy4011, xy3011, ty_@0) -> new_esEs15(xy4011, xy3011)
17.15/6.66	   new_esEs21(xy4010, xy3010, ty_Float) -> new_esEs16(xy4010, xy3010)
17.15/6.66	   new_esEs27(xy4010, xy3010, ty_Integer) -> new_esEs19(xy4010, xy3010)
17.15/6.66	   new_esEs25(xy4012, xy3012, app(ty_[], beh)) -> new_esEs17(xy4012, xy3012, beh)
17.15/6.66	   new_esEs20(xy4011, xy3011, ty_Double) -> new_esEs18(xy4011, xy3011)
17.15/6.66	   new_esEs27(xy4010, xy3010, app(app(ty_Either, bgf), bgg)) -> new_esEs9(xy4010, xy3010, bgf, bgg)
17.15/6.66	   new_primEqInt(Pos(Succ(xy40100)), Pos(Zero)) -> False
17.15/6.66	   new_primEqInt(Pos(Zero), Pos(Succ(xy30100))) -> False
17.15/6.66	   new_esEs12(Nothing, Just(xy3010), cb) -> False
17.15/6.66	   new_esEs12(Just(xy4010), Nothing, cb) -> False
17.15/6.66	   new_esEs4(xy401, xy301, app(ty_Ratio, cc)) -> new_esEs13(xy401, xy301, cc)
17.15/6.66	   new_esEs12(Nothing, Nothing, cb) -> True
17.15/6.66	   new_esEs9(Left(xy4010), Left(xy3010), app(ty_Ratio, gc), ca) -> new_esEs13(xy4010, xy3010, gc)
17.15/6.66	   new_esEs9(Right(xy4010), Right(xy3010), bh, ty_Float) -> new_esEs16(xy4010, xy3010)
17.15/6.66	   new_esEs9(Right(xy4010), Right(xy3010), bh, ty_Ordering) -> new_esEs6(xy4010, xy3010)
17.15/6.66	   new_esEs22(xy4010, xy3010, ty_Bool) -> new_esEs10(xy4010, xy3010)
17.15/6.66	   new_esEs27(xy4010, xy3010, app(ty_[], bhd)) -> new_esEs17(xy4010, xy3010, bhd)
17.15/6.66	   new_esEs12(Just(xy4010), Just(xy3010), ty_Integer) -> new_esEs19(xy4010, xy3010)
17.15/6.66	   new_primEqNat0(Succ(xy40100), Succ(xy30100)) -> new_primEqNat0(xy40100, xy30100)
17.15/6.66	   new_esEs27(xy4010, xy3010, ty_Bool) -> new_esEs10(xy4010, xy3010)
17.15/6.66	   new_esEs5(xy400, xy300, ty_Float) -> new_esEs16(xy400, xy300)
17.15/6.66	   new_esEs22(xy4010, xy3010, ty_Int) -> new_esEs11(xy4010, xy3010)
17.15/6.66	   new_esEs12(Just(xy4010), Just(xy3010), app(ty_Ratio, bca)) -> new_esEs13(xy4010, xy3010, bca)
17.15/6.66	   new_esEs22(xy4010, xy3010, app(ty_Ratio, bag)) -> new_esEs13(xy4010, xy3010, bag)
17.15/6.66	   new_esEs26(xy4011, xy3011, ty_Float) -> new_esEs16(xy4011, xy3011)
17.15/6.66	   new_esEs13(:%(xy4010, xy4011), :%(xy3010, xy3011), cc) -> new_asAs(new_esEs24(xy4010, xy3010, cc), new_esEs23(xy4011, xy3011, cc))
17.15/6.66	   new_esEs4(xy401, xy301, app(app(ty_@2, cd), ce)) -> new_esEs14(xy401, xy301, cd, ce)
17.15/6.66	   new_primMulNat0(Zero, Zero) -> Zero
17.15/6.66	   new_esEs5(xy400, xy300, app(ty_Maybe, bdb)) -> new_esEs12(xy400, xy300, bdb)
17.15/6.66	   new_esEs5(xy400, xy300, ty_Integer) -> new_esEs19(xy400, xy300)
17.15/6.66	   new_esEs21(xy4010, xy3010, app(app(app(ty_@3, eb), ec), ed)) -> new_esEs8(xy4010, xy3010, eb, ec, ed)
17.15/6.66	   new_esEs6(EQ, GT) -> False
17.15/6.66	   new_esEs6(GT, EQ) -> False
17.15/6.66	   new_esEs9(Left(xy4010), Left(xy3010), app(app(app(ty_@3, fd), ff), fg), ca) -> new_esEs8(xy4010, xy3010, fd, ff, fg)
17.15/6.66	   new_esEs27(xy4010, xy3010, ty_@0) -> new_esEs15(xy4010, xy3010)
17.15/6.66	   new_esEs17(:(xy4010, xy4011), :(xy3010, xy3011), cf) -> new_asAs(new_esEs22(xy4010, xy3010, cf), new_esEs17(xy4011, xy3011, cf))
17.15/6.66	   new_esEs12(Just(xy4010), Just(xy3010), ty_@0) -> new_esEs15(xy4010, xy3010)
17.15/6.66	   new_esEs4(xy401, xy301, app(ty_Maybe, cb)) -> new_esEs12(xy401, xy301, cb)
17.15/6.66	   new_esEs20(xy4011, xy3011, ty_Char) -> new_esEs7(xy4011, xy3011)
17.15/6.66	   new_primEqNat0(Succ(xy40100), Zero) -> False
17.15/6.66	   new_primEqNat0(Zero, Succ(xy30100)) -> False
17.15/6.66	   new_esEs23(xy4011, xy3011, ty_Integer) -> new_esEs19(xy4011, xy3011)
17.15/6.66	   new_esEs20(xy4011, xy3011, app(ty_[], ea)) -> new_esEs17(xy4011, xy3011, ea)
17.15/6.66	   new_esEs26(xy4011, xy3011, ty_@0) -> new_esEs15(xy4011, xy3011)
17.15/6.66	   new_esEs24(xy4010, xy3010, ty_Integer) -> new_esEs19(xy4010, xy3010)
17.15/6.66	   new_esEs21(xy4010, xy3010, ty_Char) -> new_esEs7(xy4010, xy3010)
17.15/6.66	   new_esEs21(xy4010, xy3010, ty_Bool) -> new_esEs10(xy4010, xy3010)
17.15/6.66	   new_esEs9(Left(xy4010), Right(xy3010), bh, ca) -> False
17.15/6.66	   new_esEs9(Right(xy4010), Left(xy3010), bh, ca) -> False
17.15/6.66	   new_esEs12(Just(xy4010), Just(xy3010), app(app(app(ty_@3, bbc), bbd), bbe)) -> new_esEs8(xy4010, xy3010, bbc, bbd, bbe)
17.15/6.66	   new_esEs12(Just(xy4010), Just(xy3010), app(app(ty_Either, bbf), bbg)) -> new_esEs9(xy4010, xy3010, bbf, bbg)
17.15/6.66	   new_esEs9(Right(xy4010), Right(xy3010), bh, app(app(app(ty_@3, gg), gh), ha)) -> new_esEs8(xy4010, xy3010, gg, gh, ha)
17.15/6.66	   new_esEs22(xy4010, xy3010, app(app(ty_Either, bad), bae)) -> new_esEs9(xy4010, xy3010, bad, bae)
17.15/6.66	   new_esEs22(xy4010, xy3010, app(app(app(ty_@3, baa), bab), bac)) -> new_esEs8(xy4010, xy3010, baa, bab, bac)
17.15/6.66	   new_esEs9(Right(xy4010), Right(xy3010), bh, ty_Double) -> new_esEs18(xy4010, xy3010)
17.15/6.66	   new_esEs5(xy400, xy300, app(ty_Ratio, bdc)) -> new_esEs13(xy400, xy300, bdc)
17.15/6.66	   new_esEs26(xy4011, xy3011, app(app(ty_@2, bfh), bga)) -> new_esEs14(xy4011, xy3011, bfh, bga)
17.15/6.66	   new_esEs25(xy4012, xy3012, ty_Float) -> new_esEs16(xy4012, xy3012)
17.15/6.66	   new_esEs23(xy4011, xy3011, ty_Int) -> new_esEs11(xy4011, xy3011)
17.15/6.66	   new_esEs15(@0, @0) -> True
17.15/6.66	   new_esEs21(xy4010, xy3010, app(ty_[], fc)) -> new_esEs17(xy4010, xy3010, fc)
17.15/6.66	   new_esEs26(xy4011, xy3011, ty_Bool) -> new_esEs10(xy4011, xy3011)
17.15/6.66	   new_primEqInt(Neg(Succ(xy40100)), Neg(Zero)) -> False
17.15/6.66	   new_primEqInt(Neg(Zero), Neg(Succ(xy30100))) -> False
17.15/6.66	   new_esEs5(xy400, xy300, ty_Double) -> new_esEs18(xy400, xy300)
17.15/6.66	   new_esEs20(xy4011, xy3011, ty_Bool) -> new_esEs10(xy4011, xy3011)
17.15/6.66	   new_esEs27(xy4010, xy3010, app(app(app(ty_@3, bgc), bgd), bge)) -> new_esEs8(xy4010, xy3010, bgc, bgd, bge)
17.15/6.66	   new_primEqInt(Pos(Succ(xy40100)), Pos(Succ(xy30100))) -> new_primEqNat0(xy40100, xy30100)
17.15/6.66	   new_esEs4(xy401, xy301, app(app(ty_Either, bh), ca)) -> new_esEs9(xy401, xy301, bh, ca)
17.15/6.66	   new_esEs6(LT, LT) -> True
17.15/6.66	   new_esEs6(LT, GT) -> False
17.15/6.66	   new_esEs6(GT, LT) -> False
17.15/6.66	   new_sr(Pos(xy40100), Neg(xy30110)) -> Neg(new_primMulNat0(xy40100, xy30110))
17.15/6.66	   new_sr(Neg(xy40100), Pos(xy30110)) -> Neg(new_primMulNat0(xy40100, xy30110))
17.15/6.66	   new_esEs21(xy4010, xy3010, ty_@0) -> new_esEs15(xy4010, xy3010)
17.15/6.66	   new_esEs9(Right(xy4010), Right(xy3010), bh, ty_Int) -> new_esEs11(xy4010, xy3010)
17.15/6.66	   new_primPlusNat1(Succ(xy4400), Succ(xy3011000)) -> Succ(Succ(new_primPlusNat1(xy4400, xy3011000)))
17.15/6.66	   new_primEqInt(Pos(Succ(xy40100)), Neg(xy3010)) -> False
17.15/6.66	   new_primEqInt(Neg(Succ(xy40100)), Pos(xy3010)) -> False
17.15/6.66	   new_esEs9(Right(xy4010), Right(xy3010), bh, app(app(ty_Either, hb), hc)) -> new_esEs9(xy4010, xy3010, hb, hc)
17.15/6.66	   new_esEs21(xy4010, xy3010, app(app(ty_@2, fa), fb)) -> new_esEs14(xy4010, xy3010, fa, fb)
17.15/6.66	   new_esEs26(xy4011, xy3011, app(ty_[], bgb)) -> new_esEs17(xy4011, xy3011, bgb)
17.15/6.66	   new_esEs8(@3(xy4010, xy4011, xy4012), @3(xy3010, xy3011, xy3012), be, bf, bg) -> new_asAs(new_esEs27(xy4010, xy3010, be), new_asAs(new_esEs26(xy4011, xy3011, bf), new_esEs25(xy4012, xy3012, bg)))
17.15/6.66	   new_esEs25(xy4012, xy3012, ty_Int) -> new_esEs11(xy4012, xy3012)
17.15/6.66	   new_esEs25(xy4012, xy3012, app(app(app(ty_@3, bdg), bdh), bea)) -> new_esEs8(xy4012, xy3012, bdg, bdh, bea)
17.15/6.66	   new_esEs12(Just(xy4010), Just(xy3010), ty_Float) -> new_esEs16(xy4010, xy3010)
17.15/6.66	   new_esEs27(xy4010, xy3010, ty_Float) -> new_esEs16(xy4010, xy3010)
17.15/6.66	   new_esEs21(xy4010, xy3010, app(ty_Maybe, eg)) -> new_esEs12(xy4010, xy3010, eg)
17.15/6.66	   new_esEs12(Just(xy4010), Just(xy3010), app(app(ty_@2, bcb), bcc)) -> new_esEs14(xy4010, xy3010, bcb, bcc)
17.15/6.66	   new_esEs20(xy4011, xy3011, app(app(ty_@2, dg), dh)) -> new_esEs14(xy4011, xy3011, dg, dh)
17.15/6.66	   new_sr(Neg(xy40100), Neg(xy30110)) -> Pos(new_primMulNat0(xy40100, xy30110))
17.15/6.66	   new_esEs9(Right(xy4010), Right(xy3010), bh, ty_Integer) -> new_esEs19(xy4010, xy3010)
17.15/6.66	   new_esEs14(@2(xy4010, xy4011), @2(xy3010, xy3011), cd, ce) -> new_asAs(new_esEs21(xy4010, xy3010, cd), new_esEs20(xy4011, xy3011, ce))
17.15/6.66	   new_esEs4(xy401, xy301, ty_Int) -> new_esEs11(xy401, xy301)
17.15/6.66	   new_esEs4(xy401, xy301, app(app(app(ty_@3, be), bf), bg)) -> new_esEs8(xy401, xy301, be, bf, bg)
17.15/6.66	   new_esEs17([], [], cf) -> True
17.15/6.66	   new_esEs26(xy4011, xy3011, app(app(ty_Either, bfd), bfe)) -> new_esEs9(xy4011, xy3011, bfd, bfe)
17.15/6.66	   new_esEs27(xy4010, xy3010, app(app(ty_@2, bhb), bhc)) -> new_esEs14(xy4010, xy3010, bhb, bhc)
17.15/6.66	   new_esEs22(xy4010, xy3010, ty_Ordering) -> new_esEs6(xy4010, xy3010)
17.15/6.66	   new_esEs25(xy4012, xy3012, ty_Char) -> new_esEs7(xy4012, xy3012)
17.15/6.66	   new_primEqInt(Pos(Zero), Neg(Succ(xy30100))) -> False
17.15/6.66	   new_primEqInt(Neg(Zero), Pos(Succ(xy30100))) -> False
17.15/6.66	   new_esEs5(xy400, xy300, app(app(ty_Either, bch), bda)) -> new_esEs9(xy400, xy300, bch, bda)
17.15/6.66	   new_esEs9(Left(xy4010), Left(xy3010), ty_Bool, ca) -> new_esEs10(xy4010, xy3010)
17.15/6.66	   new_esEs7(Char(xy4010), Char(xy3010)) -> new_primEqNat0(xy4010, xy3010)
17.15/6.66	   new_esEs10(False, False) -> True
17.15/6.66	   new_esEs9(Left(xy4010), Left(xy3010), ty_Integer, ca) -> new_esEs19(xy4010, xy3010)
17.15/6.66	   new_esEs9(Right(xy4010), Right(xy3010), bh, ty_@0) -> new_esEs15(xy4010, xy3010)
17.15/6.66	   new_esEs4(xy401, xy301, ty_Char) -> new_esEs7(xy401, xy301)
17.15/6.66	   new_primEqInt(Neg(Succ(xy40100)), Neg(Succ(xy30100))) -> new_primEqNat0(xy40100, xy30100)
17.15/6.66	   new_esEs10(True, True) -> True
17.15/6.66	   new_esEs5(xy400, xy300, ty_Ordering) -> new_esEs6(xy400, xy300)
17.15/6.66	   new_esEs9(Left(xy4010), Left(xy3010), app(ty_[], gf), ca) -> new_esEs17(xy4010, xy3010, gf)
17.15/6.66	   new_esEs22(xy4010, xy3010, app(app(ty_@2, bah), bba)) -> new_esEs14(xy4010, xy3010, bah, bba)
17.15/6.66	   new_esEs20(xy4011, xy3011, ty_Float) -> new_esEs16(xy4011, xy3011)
17.15/6.66	   new_esEs26(xy4011, xy3011, ty_Ordering) -> new_esEs6(xy4011, xy3011)
17.15/6.66	   new_primPlusNat0(Succ(xy440), xy301100) -> Succ(Succ(new_primPlusNat1(xy440, xy301100)))
17.15/6.66	   new_esEs4(xy401, xy301, ty_@0) -> new_esEs15(xy401, xy301)
17.15/6.66	   new_esEs25(xy4012, xy3012, ty_@0) -> new_esEs15(xy4012, xy3012)
17.15/6.66	   new_esEs27(xy4010, xy3010, ty_Int) -> new_esEs11(xy4010, xy3010)
17.15/6.66	   new_esEs9(Left(xy4010), Left(xy3010), app(app(ty_@2, gd), ge), ca) -> new_esEs14(xy4010, xy3010, gd, ge)
17.15/6.66	   new_esEs25(xy4012, xy3012, app(app(ty_@2, bef), beg)) -> new_esEs14(xy4012, xy3012, bef, beg)
17.15/6.66	   new_esEs27(xy4010, xy3010, ty_Char) -> new_esEs7(xy4010, xy3010)
17.15/6.66	   new_esEs25(xy4012, xy3012, ty_Double) -> new_esEs18(xy4012, xy3012)
17.15/6.66	   new_esEs4(xy401, xy301, ty_Integer) -> new_esEs19(xy401, xy301)
17.15/6.66	   new_primPlusNat1(Zero, Zero) -> Zero
17.15/6.66	   new_primMulNat0(Succ(xy401000), Zero) -> Zero
17.15/6.66	   new_primMulNat0(Zero, Succ(xy301100)) -> Zero
17.15/6.66	   new_esEs12(Just(xy4010), Just(xy3010), ty_Char) -> new_esEs7(xy4010, xy3010)
17.15/6.66	   new_sr(Pos(xy40100), Pos(xy30110)) -> Pos(new_primMulNat0(xy40100, xy30110))
17.15/6.66	   new_esEs22(xy4010, xy3010, app(ty_[], bbb)) -> new_esEs17(xy4010, xy3010, bbb)
17.15/6.66	   new_primPlusNat0(Zero, xy301100) -> Succ(xy301100)
17.15/6.66	   new_esEs9(Left(xy4010), Left(xy3010), ty_Double, ca) -> new_esEs18(xy4010, xy3010)
17.15/6.66	   new_esEs20(xy4011, xy3011, ty_Ordering) -> new_esEs6(xy4011, xy3011)
17.15/6.66	   new_esEs12(Just(xy4010), Just(xy3010), ty_Int) -> new_esEs11(xy4010, xy3010)
17.15/6.66	   new_esEs4(xy401, xy301, ty_Double) -> new_esEs18(xy401, xy301)
17.15/6.66	   new_esEs9(Left(xy4010), Left(xy3010), ty_@0, ca) -> new_esEs15(xy4010, xy3010)
17.15/6.66	   new_esEs9(Right(xy4010), Right(xy3010), bh, app(ty_[], hh)) -> new_esEs17(xy4010, xy3010, hh)
17.15/6.66	   new_esEs20(xy4011, xy3011, app(app(app(ty_@3, cg), da), db)) -> new_esEs8(xy4011, xy3011, cg, da, db)
17.15/6.66	   new_esEs25(xy4012, xy3012, app(ty_Maybe, bed)) -> new_esEs12(xy4012, xy3012, bed)
17.15/6.66	   new_esEs9(Right(xy4010), Right(xy3010), bh, app(app(ty_@2, hf), hg)) -> new_esEs14(xy4010, xy3010, hf, hg)
17.15/6.66	   new_esEs20(xy4011, xy3011, ty_Int) -> new_esEs11(xy4011, xy3011)
17.15/6.66	   new_esEs9(Right(xy4010), Right(xy3010), bh, app(ty_Ratio, he)) -> new_esEs13(xy4010, xy3010, he)
17.15/6.66	   new_primEqInt(Neg(Zero), Neg(Zero)) -> True
17.15/6.66	   new_esEs12(Just(xy4010), Just(xy3010), app(ty_[], bcd)) -> new_esEs17(xy4010, xy3010, bcd)
17.15/6.66	   new_esEs26(xy4011, xy3011, ty_Double) -> new_esEs18(xy4011, xy3011)
17.15/6.66	   new_esEs12(Just(xy4010), Just(xy3010), ty_Ordering) -> new_esEs6(xy4010, xy3010)
17.15/6.66	   new_esEs6(EQ, EQ) -> True
17.15/6.66	   new_primMulNat0(Succ(xy401000), Succ(xy301100)) -> new_primPlusNat0(new_primMulNat0(xy401000, Succ(xy301100)), xy301100)
17.15/6.66	   new_esEs18(Double(xy4010, xy4011), Double(xy3010, xy3011)) -> new_esEs11(new_sr(xy4010, xy3011), new_sr(xy4011, xy3010))
17.15/6.66	   new_esEs21(xy4010, xy3010, app(app(ty_Either, ee), ef)) -> new_esEs9(xy4010, xy3010, ee, ef)
17.15/6.66	   new_esEs9(Left(xy4010), Left(xy3010), ty_Ordering, ca) -> new_esEs6(xy4010, xy3010)
17.15/6.66	   new_esEs25(xy4012, xy3012, ty_Integer) -> new_esEs19(xy4012, xy3012)
17.15/6.66	   new_esEs22(xy4010, xy3010, ty_Char) -> new_esEs7(xy4010, xy3010)
17.15/6.66	   new_esEs6(GT, GT) -> True
17.15/6.66	   new_esEs12(Just(xy4010), Just(xy3010), ty_Double) -> new_esEs18(xy4010, xy3010)
17.15/6.66	   new_esEs26(xy4011, xy3011, app(ty_Maybe, bff)) -> new_esEs12(xy4011, xy3011, bff)
17.15/6.66	   new_primPlusNat1(Succ(xy4400), Zero) -> Succ(xy4400)
17.15/6.66	   new_primPlusNat1(Zero, Succ(xy3011000)) -> Succ(xy3011000)
17.15/6.66	   new_esEs5(xy400, xy300, app(app(ty_@2, bdd), bde)) -> new_esEs14(xy400, xy300, bdd, bde)
17.15/6.66	   new_esEs4(xy401, xy301, ty_Float) -> new_esEs16(xy401, xy301)
17.15/6.66	   new_esEs21(xy4010, xy3010, ty_Int) -> new_esEs11(xy4010, xy3010)
17.15/6.66	   new_esEs4(xy401, xy301, ty_Bool) -> new_esEs10(xy401, xy301)
17.15/6.66	   new_esEs27(xy4010, xy3010, ty_Double) -> new_esEs18(xy4010, xy3010)
17.15/6.66	   new_esEs5(xy400, xy300, ty_@0) -> new_esEs15(xy400, xy300)
17.15/6.66	   new_primEqInt(Pos(Zero), Neg(Zero)) -> True
17.15/6.66	   new_primEqInt(Neg(Zero), Pos(Zero)) -> True
17.15/6.66	   new_primEqNat0(Zero, Zero) -> True
17.15/6.66	   new_esEs21(xy4010, xy3010, ty_Ordering) -> new_esEs6(xy4010, xy3010)
17.15/6.66	   new_esEs5(xy400, xy300, ty_Bool) -> new_esEs10(xy400, xy300)
17.15/6.66	   new_esEs21(xy4010, xy3010, app(ty_Ratio, eh)) -> new_esEs13(xy4010, xy3010, eh)
17.15/6.66	   new_esEs19(Integer(xy4010), Integer(xy3010)) -> new_primEqInt(xy4010, xy3010)
17.15/6.66	   new_esEs17(:(xy4010, xy4011), [], cf) -> False
17.15/6.66	   new_esEs17([], :(xy3010, xy3011), cf) -> False
17.15/6.66	   new_asAs(False, xy43) -> False
17.15/6.66	   new_esEs26(xy4011, xy3011, app(ty_Ratio, bfg)) -> new_esEs13(xy4011, xy3011, bfg)
17.15/6.66	   new_esEs6(LT, EQ) -> False
17.15/6.66	   new_esEs6(EQ, LT) -> False
17.15/6.66	   new_esEs26(xy4011, xy3011, ty_Int) -> new_esEs11(xy4011, xy3011)
17.15/6.66	   new_esEs21(xy4010, xy3010, ty_Integer) -> new_esEs19(xy4010, xy3010)
17.15/6.66	   new_esEs5(xy400, xy300, ty_Char) -> new_esEs7(xy400, xy300)
17.15/6.66	   new_esEs5(xy400, xy300, app(ty_[], bdf)) -> new_esEs17(xy400, xy300, bdf)
17.15/6.66	   new_esEs22(xy4010, xy3010, ty_Float) -> new_esEs16(xy4010, xy3010)
17.15/6.66	   new_esEs26(xy4011, xy3011, ty_Integer) -> new_esEs19(xy4011, xy3011)
17.15/6.66	   new_esEs27(xy4010, xy3010, ty_Ordering) -> new_esEs6(xy4010, xy3010)
17.15/6.66	   new_esEs21(xy4010, xy3010, ty_Double) -> new_esEs18(xy4010, xy3010)
17.15/6.66	   new_esEs20(xy4011, xy3011, app(ty_Maybe, de)) -> new_esEs12(xy4011, xy3011, de)
17.15/6.66	   new_esEs11(xy401, xy301) -> new_primEqInt(xy401, xy301)
17.15/6.66	   new_esEs9(Right(xy4010), Right(xy3010), bh, ty_Char) -> new_esEs7(xy4010, xy3010)
17.15/6.66	   new_esEs20(xy4011, xy3011, app(app(ty_Either, dc), dd)) -> new_esEs9(xy4011, xy3011, dc, dd)
17.15/6.66	   new_esEs9(Right(xy4010), Right(xy3010), bh, ty_Bool) -> new_esEs10(xy4010, xy3010)
17.15/6.66	
17.15/6.66	The set Q consists of the following terms:
17.15/6.66	
17.15/6.66	   new_esEs9(Left(x0), Left(x1), app(ty_Ratio, x2), x3)
17.15/6.66	   new_primEqInt(Neg(Succ(x0)), Neg(Zero))
17.15/6.66	   new_esEs27(x0, x1, app(app(app(ty_@3, x2), x3), x4))
17.15/6.66	   new_esEs22(x0, x1, app(app(app(ty_@3, x2), x3), x4))
17.15/6.66	   new_esEs14(@2(x0, x1), @2(x2, x3), x4, x5)
17.15/6.66	   new_primEqNat0(Zero, Succ(x0))
17.15/6.66	   new_esEs9(Left(x0), Left(x1), app(ty_[], x2), x3)
17.15/6.66	   new_esEs12(Just(x0), Just(x1), ty_Char)
17.15/6.66	   new_esEs22(x0, x1, ty_Bool)
17.15/6.66	   new_esEs27(x0, x1, ty_@0)
17.15/6.66	   new_asAs(True, x0)
17.15/6.66	   new_esEs27(x0, x1, app(app(ty_@2, x2), x3))
17.15/6.66	   new_esEs9(Right(x0), Right(x1), x2, app(ty_[], x3))
17.15/6.66	   new_esEs26(x0, x1, app(ty_[], x2))
17.15/6.66	   new_primMulNat0(Zero, Zero)
17.15/6.66	   new_esEs12(Just(x0), Just(x1), ty_Int)
17.15/6.66	   new_esEs5(x0, x1, app(ty_Ratio, x2))
17.15/6.66	   new_primPlusNat1(Zero, Zero)
17.15/6.66	   new_esEs5(x0, x1, app(ty_[], x2))
17.15/6.66	   new_esEs9(Right(x0), Right(x1), x2, ty_Bool)
17.15/6.66	   new_esEs26(x0, x1, ty_Integer)
17.15/6.66	   new_esEs9(Left(x0), Left(x1), ty_Char, x2)
17.15/6.66	   new_esEs9(Right(x0), Right(x1), x2, app(ty_Ratio, x3))
17.15/6.66	   new_esEs9(Right(x0), Right(x1), x2, ty_@0)
17.15/6.66	   new_esEs23(x0, x1, ty_Integer)
17.15/6.66	   new_esEs21(x0, x1, app(app(ty_@2, x2), x3))
17.15/6.66	   new_esEs20(x0, x1, app(app(ty_@2, x2), x3))
17.15/6.66	   new_esEs17(:(x0, x1), :(x2, x3), x4)
17.15/6.66	   new_esEs26(x0, x1, ty_Bool)
17.15/6.66	   new_esEs12(Just(x0), Just(x1), app(app(ty_@2, x2), x3))
17.15/6.66	   new_esEs5(x0, x1, app(app(ty_Either, x2), x3))
17.15/6.66	   new_esEs9(Left(x0), Left(x1), app(app(ty_@2, x2), x3), x4)
17.15/6.66	   new_esEs21(x0, x1, app(ty_Maybe, x2))
17.15/6.66	   new_primEqInt(Pos(Zero), Pos(Zero))
17.15/6.66	   new_esEs5(x0, x1, ty_@0)
17.15/6.66	   new_esEs27(x0, x1, ty_Bool)
17.15/6.66	   new_esEs16(Float(x0, x1), Float(x2, x3))
17.15/6.66	   new_esEs26(x0, x1, ty_@0)
17.15/6.66	   new_primEqInt(Pos(Succ(x0)), Neg(x1))
17.15/6.66	   new_primEqInt(Neg(Succ(x0)), Pos(x1))
17.15/6.66	   new_esEs22(x0, x1, ty_@0)
17.15/6.66	   new_esEs12(Just(x0), Just(x1), app(ty_Maybe, x2))
17.15/6.66	   new_esEs12(Just(x0), Just(x1), app(ty_Ratio, x2))
17.15/6.66	   new_esEs20(x0, x1, ty_Integer)
17.15/6.66	   new_esEs25(x0, x1, ty_Integer)
17.15/6.66	   new_esEs20(x0, x1, app(app(ty_Either, x2), x3))
17.15/6.66	   new_esEs4(x0, x1, app(ty_Ratio, x2))
17.15/6.66	   new_esEs22(x0, x1, app(ty_Ratio, x2))
17.15/6.66	   new_esEs4(x0, x1, app(app(ty_@2, x2), x3))
17.15/6.66	   new_esEs4(x0, x1, app(ty_[], x2))
17.15/6.66	   new_esEs22(x0, x1, app(app(ty_Either, x2), x3))
17.15/6.66	   new_esEs6(EQ, EQ)
17.15/6.66	   new_esEs12(Just(x0), Just(x1), ty_Float)
17.15/6.66	   new_esEs17([], [], x0)
17.15/6.66	   new_primEqInt(Neg(Zero), Neg(Zero))
17.15/6.66	   new_esEs27(x0, x1, app(ty_Maybe, x2))
17.15/6.66	   new_esEs11(x0, x1)
17.15/6.66	   new_esEs5(x0, x1, ty_Integer)
17.15/6.66	   new_esEs9(Right(x0), Right(x1), x2, app(app(app(ty_@3, x3), x4), x5))
17.15/6.66	   new_esEs21(x0, x1, ty_Bool)
17.15/6.66	   new_esEs4(x0, x1, ty_Bool)
17.15/6.66	   new_esEs12(Just(x0), Just(x1), app(ty_[], x2))
17.15/6.66	   new_esEs18(Double(x0, x1), Double(x2, x3))
17.15/6.66	   new_esEs8(@3(x0, x1, x2), @3(x3, x4, x5), x6, x7, x8)
17.15/6.66	   new_esEs6(EQ, GT)
17.15/6.66	   new_esEs6(GT, EQ)
17.15/6.66	   new_esEs26(x0, x1, app(app(ty_Either, x2), x3))
17.15/6.66	   new_esEs4(x0, x1, ty_Float)
17.15/6.66	   new_esEs25(x0, x1, app(app(ty_@2, x2), x3))
17.15/6.66	   new_esEs12(Just(x0), Just(x1), ty_@0)
17.15/6.66	   new_esEs4(x0, x1, ty_Double)
17.15/6.66	   new_esEs27(x0, x1, ty_Char)
17.15/6.66	   new_esEs9(Right(x0), Right(x1), x2, app(app(ty_@2, x3), x4))
17.15/6.66	   new_esEs25(x0, x1, app(app(ty_Either, x2), x3))
17.15/6.66	   new_esEs9(Right(x0), Right(x1), x2, ty_Int)
17.15/6.66	   new_esEs4(x0, x1, ty_@0)
17.15/6.66	   new_primPlusNat1(Succ(x0), Succ(x1))
17.15/6.66	   new_esEs20(x0, x1, ty_Float)
17.15/6.66	   new_esEs10(True, True)
17.15/6.66	   new_esEs21(x0, x1, ty_Char)
17.15/6.66	   new_esEs25(x0, x1, ty_Ordering)
17.15/6.66	   new_esEs6(LT, LT)
17.15/6.66	   new_primMulNat0(Succ(x0), Zero)
17.15/6.66	   new_esEs17(:(x0, x1), [], x2)
17.15/6.66	   new_esEs22(x0, x1, ty_Integer)
17.15/6.66	   new_primEqInt(Pos(Zero), Neg(Zero))
17.15/6.66	   new_primEqInt(Neg(Zero), Pos(Zero))
17.15/6.66	   new_esEs24(x0, x1, ty_Int)
17.15/6.66	   new_sr(Neg(x0), Neg(x1))
17.15/6.66	   new_esEs26(x0, x1, ty_Float)
17.15/6.66	   new_esEs4(x0, x1, ty_Int)
17.15/6.66	   new_esEs25(x0, x1, app(ty_Maybe, x2))
17.15/6.66	   new_esEs5(x0, x1, ty_Char)
17.15/6.66	   new_esEs26(x0, x1, app(app(ty_@2, x2), x3))
17.15/6.66	   new_esEs21(x0, x1, ty_@0)
17.15/6.66	   new_esEs7(Char(x0), Char(x1))
17.15/6.66	   new_esEs6(LT, GT)
17.15/6.66	   new_esEs6(GT, LT)
17.15/6.66	   new_esEs20(x0, x1, app(ty_[], x2))
17.15/6.66	   new_esEs25(x0, x1, app(ty_Ratio, x2))
17.15/6.66	   new_esEs12(Just(x0), Just(x1), app(app(app(ty_@3, x2), x3), x4))
17.15/6.66	   new_esEs12(Just(x0), Just(x1), ty_Bool)
17.15/6.66	   new_esEs21(x0, x1, ty_Float)
17.15/6.66	   new_esEs6(LT, EQ)
17.15/6.66	   new_esEs6(EQ, LT)
17.15/6.66	   new_esEs5(x0, x1, ty_Bool)
17.15/6.66	   new_esEs5(x0, x1, ty_Double)
17.15/6.66	   new_esEs6(GT, GT)
17.15/6.66	   new_esEs12(Just(x0), Just(x1), ty_Double)
17.15/6.66	   new_esEs9(Left(x0), Left(x1), ty_Ordering, x2)
17.15/6.66	   new_esEs9(Right(x0), Right(x1), x2, ty_Char)
17.15/6.66	   new_esEs20(x0, x1, app(app(app(ty_@3, x2), x3), x4))
17.15/6.66	   new_esEs9(Right(x0), Right(x1), x2, ty_Double)
17.15/6.66	   new_esEs27(x0, x1, ty_Int)
17.15/6.66	   new_esEs22(x0, x1, ty_Ordering)
17.15/6.66	   new_primPlusNat1(Zero, Succ(x0))
17.15/6.66	   new_esEs26(x0, x1, ty_Int)
17.15/6.66	   new_esEs5(x0, x1, ty_Ordering)
17.15/6.66	   new_esEs13(:%(x0, x1), :%(x2, x3), x4)
17.15/6.66	   new_esEs4(x0, x1, ty_Char)
17.15/6.66	   new_esEs21(x0, x1, ty_Ordering)
17.15/6.66	   new_esEs21(x0, x1, app(app(app(ty_@3, x2), x3), x4))
17.15/6.66	   new_esEs15(@0, @0)
17.15/6.66	   new_esEs26(x0, x1, app(app(app(ty_@3, x2), x3), x4))
17.15/6.66	   new_esEs12(Just(x0), Just(x1), app(app(ty_Either, x2), x3))
17.15/6.66	   new_esEs22(x0, x1, ty_Double)
17.15/6.66	   new_primEqInt(Neg(Zero), Neg(Succ(x0)))
17.15/6.66	   new_sr(Pos(x0), Pos(x1))
17.15/6.66	   new_esEs27(x0, x1, ty_Double)
17.15/6.66	   new_primEqInt(Pos(Zero), Pos(Succ(x0)))
17.15/6.66	   new_esEs21(x0, x1, ty_Int)
17.15/6.66	   new_esEs21(x0, x1, ty_Double)
17.15/6.66	   new_esEs9(Left(x0), Left(x1), app(app(app(ty_@3, x2), x3), x4), x5)
17.15/6.66	   new_esEs21(x0, x1, app(app(ty_Either, x2), x3))
17.15/6.66	   new_esEs9(Left(x0), Left(x1), ty_Integer, x2)
17.15/6.66	   new_esEs20(x0, x1, ty_Char)
17.15/6.66	   new_primEqInt(Pos(Zero), Neg(Succ(x0)))
17.15/6.66	   new_primEqInt(Neg(Zero), Pos(Succ(x0)))
17.15/6.66	   new_esEs9(Right(x0), Right(x1), x2, ty_Ordering)
17.15/6.66	   new_esEs25(x0, x1, app(app(app(ty_@3, x2), x3), x4))
17.15/6.66	   new_esEs27(x0, x1, ty_Float)
17.15/6.66	   new_esEs5(x0, x1, ty_Int)
17.15/6.66	   new_esEs22(x0, x1, ty_Float)
17.15/6.66	   new_esEs4(x0, x1, app(ty_Maybe, x2))
17.15/6.66	   new_esEs26(x0, x1, ty_Double)
17.15/6.66	   new_esEs22(x0, x1, app(ty_Maybe, x2))
17.15/6.66	   new_esEs20(x0, x1, ty_Int)
17.15/6.66	   new_esEs26(x0, x1, ty_Char)
17.15/6.66	   new_esEs9(Left(x0), Right(x1), x2, x3)
17.15/6.66	   new_esEs9(Right(x0), Left(x1), x2, x3)
17.15/6.66	   new_esEs27(x0, x1, app(ty_[], x2))
17.15/6.66	   new_primEqInt(Neg(Succ(x0)), Neg(Succ(x1)))
17.15/6.66	   new_sr(Pos(x0), Neg(x1))
17.15/6.66	   new_sr(Neg(x0), Pos(x1))
17.15/6.66	   new_esEs26(x0, x1, ty_Ordering)
17.15/6.66	   new_esEs9(Right(x0), Right(x1), x2, ty_Float)
17.15/6.66	   new_primMulNat0(Zero, Succ(x0))
17.15/6.66	   new_esEs5(x0, x1, app(app(app(ty_@3, x2), x3), x4))
17.15/6.66	   new_esEs9(Left(x0), Left(x1), app(ty_Maybe, x2), x3)
17.15/6.66	   new_esEs5(x0, x1, ty_Float)
17.15/6.66	   new_esEs26(x0, x1, app(ty_Ratio, x2))
17.15/6.66	   new_esEs27(x0, x1, app(app(ty_Either, x2), x3))
17.15/6.66	   new_esEs22(x0, x1, app(ty_[], x2))
17.15/6.66	   new_esEs22(x0, x1, ty_Char)
17.15/6.66	   new_esEs4(x0, x1, app(app(app(ty_@3, x2), x3), x4))
17.15/6.66	   new_esEs21(x0, x1, app(ty_[], x2))
17.15/6.66	   new_primEqNat0(Succ(x0), Succ(x1))
17.15/6.66	   new_primEqInt(Pos(Succ(x0)), Pos(Succ(x1)))
17.15/6.66	   new_esEs12(Just(x0), Just(x1), ty_Integer)
17.15/6.66	   new_esEs20(x0, x1, ty_Ordering)
17.15/6.66	   new_esEs22(x0, x1, ty_Int)
17.15/6.66	   new_esEs21(x0, x1, app(ty_Ratio, x2))
17.15/6.66	   new_esEs20(x0, x1, ty_@0)
17.15/6.66	   new_esEs23(x0, x1, ty_Int)
17.15/6.66	   new_esEs12(Nothing, Just(x0), x1)
17.15/6.66	   new_esEs10(False, False)
17.15/6.66	   new_esEs26(x0, x1, app(ty_Maybe, x2))
17.15/6.66	   new_esEs27(x0, x1, ty_Integer)
17.15/6.66	   new_primEqNat0(Zero, Zero)
17.15/6.66	   new_esEs9(Left(x0), Left(x1), ty_Double, x2)
17.15/6.66	   new_esEs20(x0, x1, ty_Bool)
17.15/6.66	   new_esEs9(Left(x0), Left(x1), ty_Float, x2)
17.15/6.66	   new_esEs4(x0, x1, ty_Ordering)
17.15/6.66	   new_esEs19(Integer(x0), Integer(x1))
17.15/6.66	   new_esEs9(Left(x0), Left(x1), ty_Bool, x2)
17.15/6.66	   new_esEs9(Right(x0), Right(x1), x2, ty_Integer)
17.15/6.66	   new_esEs25(x0, x1, ty_Float)
17.15/6.66	   new_esEs25(x0, x1, ty_Bool)
17.15/6.66	   new_esEs20(x0, x1, app(ty_Ratio, x2))
17.15/6.66	   new_esEs12(Just(x0), Just(x1), ty_Ordering)
17.15/6.66	   new_esEs25(x0, x1, ty_@0)
17.15/6.66	   new_primPlusNat1(Succ(x0), Zero)
17.15/6.66	   new_esEs20(x0, x1, ty_Double)
17.15/6.66	   new_esEs9(Right(x0), Right(x1), x2, app(app(ty_Either, x3), x4))
17.15/6.66	   new_esEs27(x0, x1, app(ty_Ratio, x2))
17.15/6.66	   new_esEs5(x0, x1, app(app(ty_@2, x2), x3))
17.15/6.66	   new_esEs9(Left(x0), Left(x1), ty_Int, x2)
17.15/6.66	   new_esEs27(x0, x1, ty_Ordering)
17.15/6.66	   new_esEs9(Left(x0), Left(x1), app(app(ty_Either, x2), x3), x4)
17.15/6.66	   new_esEs12(Just(x0), Nothing, x1)
17.15/6.66	   new_esEs21(x0, x1, ty_Integer)
17.15/6.66	   new_primPlusNat0(Zero, x0)
17.15/6.66	   new_esEs5(x0, x1, app(ty_Maybe, x2))
17.15/6.66	   new_esEs24(x0, x1, ty_Integer)
17.15/6.66	   new_esEs25(x0, x1, ty_Int)
17.15/6.66	   new_esEs4(x0, x1, app(app(ty_Either, x2), x3))
17.15/6.66	   new_esEs12(Nothing, Nothing, x0)
17.15/6.66	   new_esEs10(False, True)
17.15/6.66	   new_esEs10(True, False)
17.15/6.66	   new_primEqInt(Pos(Succ(x0)), Pos(Zero))
17.15/6.66	   new_esEs17([], :(x0, x1), x2)
17.15/6.66	   new_esEs22(x0, x1, app(app(ty_@2, x2), x3))
17.15/6.66	   new_esEs9(Left(x0), Left(x1), ty_@0, x2)
17.15/6.66	   new_primEqNat0(Succ(x0), Zero)
17.15/6.66	   new_esEs9(Right(x0), Right(x1), x2, app(ty_Maybe, x3))
17.15/6.66	   new_esEs25(x0, x1, ty_Char)
17.15/6.66	   new_esEs25(x0, x1, app(ty_[], x2))
17.15/6.66	   new_primPlusNat0(Succ(x0), x1)
17.15/6.66	   new_asAs(False, x0)
17.15/6.66	   new_esEs4(x0, x1, ty_Integer)
17.15/6.66	   new_primMulNat0(Succ(x0), Succ(x1))
17.15/6.66	   new_esEs25(x0, x1, ty_Double)
17.15/6.66	   new_esEs20(x0, x1, app(ty_Maybe, x2))
17.15/6.66	
17.15/6.66	We have to consider all minimal (P,Q,R)-chains.
17.15/6.66	----------------------------------------
17.15/6.66	
17.15/6.66	(13) QDPSizeChangeProof (EQUIVALENT)
17.15/6.66	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. 
17.15/6.66	
17.15/6.66	From the DPs we obtained the following set of size-change graphs:
17.15/6.66	*new_deleteBy(@2(xy400, xy401), :(@2(xy300, xy301), xy31), bc, bd) -> new_deleteBy0(xy31, xy300, xy301, xy400, xy401, new_asAs(new_esEs5(xy400, xy300, bc), new_esEs4(xy401, xy301, bd)), bc, bd)
17.15/6.66	The graph contains the following edges 2 > 1, 2 > 2, 2 > 3, 1 > 4, 1 > 5, 3 >= 7, 4 >= 8
17.15/6.66	
17.15/6.66	
17.15/6.66	*new_deleteBy0(xy25, xy26, xy27, xy28, xy29, False, ba, bb) -> new_deleteBy(@2(xy28, xy29), xy25, ba, bb)
17.15/6.66	The graph contains the following edges 1 >= 2, 7 >= 3, 8 >= 4
17.15/6.66	
17.15/6.66	
17.15/6.66	----------------------------------------
17.15/6.66	
17.15/6.66	(14)
17.15/6.66	YES
17.15/6.66	
17.15/6.66	----------------------------------------
17.15/6.66	
17.15/6.66	(15)
17.15/6.66	Obligation:
17.15/6.66	Q DP problem:
17.15/6.66	The TRS P consists of the following rules:
17.15/6.66	
17.15/6.66	   new_primMulNat(Succ(xy401000), Succ(xy301100)) -> new_primMulNat(xy401000, Succ(xy301100))
17.15/6.66	
17.15/6.66	R is empty.
17.15/6.66	Q is empty.
17.15/6.66	We have to consider all minimal (P,Q,R)-chains.
17.15/6.66	----------------------------------------
17.15/6.66	
17.15/6.66	(16) QDPSizeChangeProof (EQUIVALENT)
17.15/6.66	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. 
17.15/6.66	
17.15/6.66	From the DPs we obtained the following set of size-change graphs:
17.15/6.66	*new_primMulNat(Succ(xy401000), Succ(xy301100)) -> new_primMulNat(xy401000, Succ(xy301100))
17.15/6.66	The graph contains the following edges 1 > 1, 2 >= 2
17.15/6.66	
17.15/6.66	
17.15/6.66	----------------------------------------
17.15/6.66	
17.15/6.66	(17)
17.15/6.66	YES
17.15/6.66	
17.15/6.66	----------------------------------------
17.15/6.66	
17.15/6.66	(18)
17.15/6.66	Obligation:
17.15/6.66	Q DP problem:
17.15/6.66	The TRS P consists of the following rules:
17.15/6.66	
17.15/6.66	   new_esEs(@3(xy4010, xy4011, xy4012), @3(xy3010, xy3011, xy3012), ba, app(app(ty_@2, dd), de), cg) -> new_esEs2(xy4011, xy3011, dd, de)
17.15/6.66	   new_esEs0(Left(xy4010), Left(xy3010), app(ty_Maybe, fg), fc) -> new_esEs1(xy4010, xy3010, fg)
17.15/6.66	   new_esEs(@3(xy4010, xy4011, xy4012), @3(xy3010, xy3011, xy3012), ba, bb, app(app(ty_@2, ca), cb)) -> new_esEs2(xy4012, xy3012, ca, cb)
17.15/6.66	   new_esEs1(Just(xy4010), Just(xy3010), app(app(ty_Either, hh), baa)) -> new_esEs0(xy4010, xy3010, hh, baa)
17.15/6.66	   new_esEs(@3(xy4010, xy4011, xy4012), @3(xy3010, xy3011, xy3012), ba, bb, app(app(app(ty_@3, bc), bd), be)) -> new_esEs(xy4012, xy3012, bc, bd, be)
17.15/6.66	   new_esEs(@3(xy4010, xy4011, xy4012), @3(xy3010, xy3011, xy3012), ba, bb, app(ty_[], cc)) -> new_esEs3(xy4012, xy3012, cc)
17.15/6.66	   new_esEs0(Right(xy4010), Right(xy3010), gc, app(ty_[], hd)) -> new_esEs3(xy4010, xy3010, hd)
17.15/6.66	   new_esEs2(@2(xy4010, xy4011), @2(xy3010, xy3011), baf, app(app(ty_@2, bbe), bbf)) -> new_esEs2(xy4011, xy3011, bbe, bbf)
17.15/6.66	   new_esEs0(Left(xy4010), Left(xy3010), app(app(ty_@2, fh), ga), fc) -> new_esEs2(xy4010, xy3010, fh, ga)
17.15/6.66	   new_esEs0(Right(xy4010), Right(xy3010), gc, app(app(ty_Either, gg), gh)) -> new_esEs0(xy4010, xy3010, gg, gh)
17.15/6.66	   new_esEs2(@2(xy4010, xy4011), @2(xy3010, xy3011), app(app(app(ty_@3, bbh), bca), bcb), bcc) -> new_esEs(xy4010, xy3010, bbh, bca, bcb)
17.15/6.66	   new_esEs3(:(xy4010, xy4011), :(xy3010, xy3011), app(ty_Maybe, bdh)) -> new_esEs1(xy4010, xy3010, bdh)
17.15/6.66	   new_esEs3(:(xy4010, xy4011), :(xy3010, xy3011), app(ty_[], bec)) -> new_esEs3(xy4010, xy3010, bec)
17.15/6.66	   new_esEs(@3(xy4010, xy4011, xy4012), @3(xy3010, xy3011, xy3012), ba, app(ty_[], df), cg) -> new_esEs3(xy4011, xy3011, df)
17.15/6.66	   new_esEs(@3(xy4010, xy4011, xy4012), @3(xy3010, xy3011, xy3012), app(ty_Maybe, ed), bb, cg) -> new_esEs1(xy4010, xy3010, ed)
17.15/6.66	   new_esEs(@3(xy4010, xy4011, xy4012), @3(xy3010, xy3011, xy3012), ba, app(ty_Maybe, dc), cg) -> new_esEs1(xy4011, xy3011, dc)
17.15/6.66	   new_esEs(@3(xy4010, xy4011, xy4012), @3(xy3010, xy3011, xy3012), app(ty_[], eg), bb, cg) -> new_esEs3(xy4010, xy3010, eg)
17.15/6.66	   new_esEs2(@2(xy4010, xy4011), @2(xy3010, xy3011), app(app(ty_@2, bcg), bch), bcc) -> new_esEs2(xy4010, xy3010, bcg, bch)
17.15/6.66	   new_esEs(@3(xy4010, xy4011, xy4012), @3(xy3010, xy3011, xy3012), ba, app(app(app(ty_@3, cd), ce), cf), cg) -> new_esEs(xy4011, xy3011, cd, ce, cf)
17.15/6.66	   new_esEs(@3(xy4010, xy4011, xy4012), @3(xy3010, xy3011, xy3012), app(app(ty_@2, ee), ef), bb, cg) -> new_esEs2(xy4010, xy3010, ee, ef)
17.15/6.66	   new_esEs1(Just(xy4010), Just(xy3010), app(app(app(ty_@3, he), hf), hg)) -> new_esEs(xy4010, xy3010, he, hf, hg)
17.15/6.66	   new_esEs0(Left(xy4010), Left(xy3010), app(ty_[], gb), fc) -> new_esEs3(xy4010, xy3010, gb)
17.15/6.66	   new_esEs(@3(xy4010, xy4011, xy4012), @3(xy3010, xy3011, xy3012), app(app(ty_Either, eb), ec), bb, cg) -> new_esEs0(xy4010, xy3010, eb, ec)
17.15/6.66	   new_esEs0(Left(xy4010), Left(xy3010), app(app(ty_Either, fd), ff), fc) -> new_esEs0(xy4010, xy3010, fd, ff)
17.15/6.66	   new_esEs2(@2(xy4010, xy4011), @2(xy3010, xy3011), baf, app(app(app(ty_@3, bag), bah), bba)) -> new_esEs(xy4011, xy3011, bag, bah, bba)
17.15/6.66	   new_esEs2(@2(xy4010, xy4011), @2(xy3010, xy3011), app(app(ty_Either, bcd), bce), bcc) -> new_esEs0(xy4010, xy3010, bcd, bce)
17.15/6.66	   new_esEs(@3(xy4010, xy4011, xy4012), @3(xy3010, xy3011, xy3012), ba, app(app(ty_Either, da), db), cg) -> new_esEs0(xy4011, xy3011, da, db)
17.15/6.66	   new_esEs3(:(xy4010, xy4011), :(xy3010, xy3011), bdb) -> new_esEs3(xy4011, xy3011, bdb)
17.15/6.66	   new_esEs2(@2(xy4010, xy4011), @2(xy3010, xy3011), baf, app(app(ty_Either, bbb), bbc)) -> new_esEs0(xy4011, xy3011, bbb, bbc)
17.15/6.66	   new_esEs(@3(xy4010, xy4011, xy4012), @3(xy3010, xy3011, xy3012), ba, bb, app(ty_Maybe, bh)) -> new_esEs1(xy4012, xy3012, bh)
17.15/6.66	   new_esEs1(Just(xy4010), Just(xy3010), app(app(ty_@2, bac), bad)) -> new_esEs2(xy4010, xy3010, bac, bad)
17.15/6.66	   new_esEs3(:(xy4010, xy4011), :(xy3010, xy3011), app(app(app(ty_@3, bdc), bdd), bde)) -> new_esEs(xy4010, xy3010, bdc, bdd, bde)
17.15/6.66	   new_esEs0(Right(xy4010), Right(xy3010), gc, app(app(app(ty_@3, gd), ge), gf)) -> new_esEs(xy4010, xy3010, gd, ge, gf)
17.15/6.66	   new_esEs(@3(xy4010, xy4011, xy4012), @3(xy3010, xy3011, xy3012), app(app(app(ty_@3, dg), dh), ea), bb, cg) -> new_esEs(xy4010, xy3010, dg, dh, ea)
17.15/6.66	   new_esEs0(Right(xy4010), Right(xy3010), gc, app(ty_Maybe, ha)) -> new_esEs1(xy4010, xy3010, ha)
17.15/6.66	   new_esEs3(:(xy4010, xy4011), :(xy3010, xy3011), app(app(ty_@2, bea), beb)) -> new_esEs2(xy4010, xy3010, bea, beb)
17.15/6.66	   new_esEs2(@2(xy4010, xy4011), @2(xy3010, xy3011), baf, app(ty_Maybe, bbd)) -> new_esEs1(xy4011, xy3011, bbd)
17.15/6.66	   new_esEs2(@2(xy4010, xy4011), @2(xy3010, xy3011), baf, app(ty_[], bbg)) -> new_esEs3(xy4011, xy3011, bbg)
17.15/6.66	   new_esEs1(Just(xy4010), Just(xy3010), app(ty_[], bae)) -> new_esEs3(xy4010, xy3010, bae)
17.15/6.66	   new_esEs2(@2(xy4010, xy4011), @2(xy3010, xy3011), app(ty_Maybe, bcf), bcc) -> new_esEs1(xy4010, xy3010, bcf)
17.15/6.66	   new_esEs2(@2(xy4010, xy4011), @2(xy3010, xy3011), app(ty_[], bda), bcc) -> new_esEs3(xy4010, xy3010, bda)
17.15/6.66	   new_esEs1(Just(xy4010), Just(xy3010), app(ty_Maybe, bab)) -> new_esEs1(xy4010, xy3010, bab)
17.15/6.66	   new_esEs(@3(xy4010, xy4011, xy4012), @3(xy3010, xy3011, xy3012), ba, bb, app(app(ty_Either, bf), bg)) -> new_esEs0(xy4012, xy3012, bf, bg)
17.15/6.66	   new_esEs3(:(xy4010, xy4011), :(xy3010, xy3011), app(app(ty_Either, bdf), bdg)) -> new_esEs0(xy4010, xy3010, bdf, bdg)
17.15/6.66	   new_esEs0(Left(xy4010), Left(xy3010), app(app(app(ty_@3, eh), fa), fb), fc) -> new_esEs(xy4010, xy3010, eh, fa, fb)
17.15/6.66	   new_esEs0(Right(xy4010), Right(xy3010), gc, app(app(ty_@2, hb), hc)) -> new_esEs2(xy4010, xy3010, hb, hc)
17.15/6.66	
17.15/6.66	R is empty.
17.15/6.66	Q is empty.
17.15/6.66	We have to consider all minimal (P,Q,R)-chains.
17.15/6.66	----------------------------------------
17.15/6.66	
17.15/6.66	(19) QDPSizeChangeProof (EQUIVALENT)
17.15/6.66	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. 
17.15/6.66	
17.15/6.66	From the DPs we obtained the following set of size-change graphs:
17.15/6.66	*new_esEs1(Just(xy4010), Just(xy3010), app(app(app(ty_@3, he), hf), hg)) -> new_esEs(xy4010, xy3010, he, hf, hg)
17.15/6.66	The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5
17.15/6.66	
17.15/6.66	
17.15/6.66	*new_esEs1(Just(xy4010), Just(xy3010), app(app(ty_Either, hh), baa)) -> new_esEs0(xy4010, xy3010, hh, baa)
17.15/6.66	The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4
17.15/6.66	
17.15/6.66	
17.15/6.66	*new_esEs1(Just(xy4010), Just(xy3010), app(ty_Maybe, bab)) -> new_esEs1(xy4010, xy3010, bab)
17.15/6.66	The graph contains the following edges 1 > 1, 2 > 2, 3 > 3
17.15/6.66	
17.15/6.66	
17.15/6.66	*new_esEs3(:(xy4010, xy4011), :(xy3010, xy3011), app(app(app(ty_@3, bdc), bdd), bde)) -> new_esEs(xy4010, xy3010, bdc, bdd, bde)
17.15/6.66	The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5
17.15/6.66	
17.15/6.66	
17.15/6.66	*new_esEs3(:(xy4010, xy4011), :(xy3010, xy3011), app(app(ty_Either, bdf), bdg)) -> new_esEs0(xy4010, xy3010, bdf, bdg)
17.15/6.66	The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4
17.15/6.66	
17.15/6.66	
17.15/6.66	*new_esEs3(:(xy4010, xy4011), :(xy3010, xy3011), app(ty_Maybe, bdh)) -> new_esEs1(xy4010, xy3010, bdh)
17.15/6.66	The graph contains the following edges 1 > 1, 2 > 2, 3 > 3
17.15/6.66	
17.15/6.66	
17.15/6.66	*new_esEs1(Just(xy4010), Just(xy3010), app(app(ty_@2, bac), bad)) -> new_esEs2(xy4010, xy3010, bac, bad)
17.15/6.66	The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4
17.15/6.66	
17.15/6.66	
17.15/6.66	*new_esEs1(Just(xy4010), Just(xy3010), app(ty_[], bae)) -> new_esEs3(xy4010, xy3010, bae)
17.15/6.66	The graph contains the following edges 1 > 1, 2 > 2, 3 > 3
17.15/6.66	
17.15/6.66	
17.15/6.66	*new_esEs3(:(xy4010, xy4011), :(xy3010, xy3011), app(app(ty_@2, bea), beb)) -> new_esEs2(xy4010, xy3010, bea, beb)
17.15/6.66	The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4
17.15/6.66	
17.15/6.66	
17.15/6.66	*new_esEs2(@2(xy4010, xy4011), @2(xy3010, xy3011), app(app(app(ty_@3, bbh), bca), bcb), bcc) -> new_esEs(xy4010, xy3010, bbh, bca, bcb)
17.15/6.66	The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5
17.15/6.66	
17.15/6.66	
17.15/6.66	*new_esEs2(@2(xy4010, xy4011), @2(xy3010, xy3011), baf, app(app(app(ty_@3, bag), bah), bba)) -> new_esEs(xy4011, xy3011, bag, bah, bba)
17.15/6.66	The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4, 4 > 5
17.15/6.66	
17.15/6.66	
17.15/6.66	*new_esEs2(@2(xy4010, xy4011), @2(xy3010, xy3011), app(app(ty_Either, bcd), bce), bcc) -> new_esEs0(xy4010, xy3010, bcd, bce)
17.15/6.66	The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4
17.15/6.66	
17.15/6.66	
17.15/6.66	*new_esEs2(@2(xy4010, xy4011), @2(xy3010, xy3011), baf, app(app(ty_Either, bbb), bbc)) -> new_esEs0(xy4011, xy3011, bbb, bbc)
17.15/6.66	The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4
17.15/6.66	
17.15/6.66	
17.15/6.66	*new_esEs2(@2(xy4010, xy4011), @2(xy3010, xy3011), baf, app(ty_Maybe, bbd)) -> new_esEs1(xy4011, xy3011, bbd)
17.15/6.66	The graph contains the following edges 1 > 1, 2 > 2, 4 > 3
17.15/6.66	
17.15/6.66	
17.15/6.66	*new_esEs2(@2(xy4010, xy4011), @2(xy3010, xy3011), app(ty_Maybe, bcf), bcc) -> new_esEs1(xy4010, xy3010, bcf)
17.15/6.66	The graph contains the following edges 1 > 1, 2 > 2, 3 > 3
17.15/6.66	
17.15/6.66	
17.15/6.66	*new_esEs2(@2(xy4010, xy4011), @2(xy3010, xy3011), baf, app(app(ty_@2, bbe), bbf)) -> new_esEs2(xy4011, xy3011, bbe, bbf)
17.15/6.66	The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4
17.15/6.66	
17.15/6.66	
17.15/6.66	*new_esEs2(@2(xy4010, xy4011), @2(xy3010, xy3011), app(app(ty_@2, bcg), bch), bcc) -> new_esEs2(xy4010, xy3010, bcg, bch)
17.15/6.66	The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4
17.15/6.66	
17.15/6.66	
17.15/6.66	*new_esEs2(@2(xy4010, xy4011), @2(xy3010, xy3011), baf, app(ty_[], bbg)) -> new_esEs3(xy4011, xy3011, bbg)
17.15/6.66	The graph contains the following edges 1 > 1, 2 > 2, 4 > 3
17.15/6.66	
17.15/6.66	
17.15/6.66	*new_esEs2(@2(xy4010, xy4011), @2(xy3010, xy3011), app(ty_[], bda), bcc) -> new_esEs3(xy4010, xy3010, bda)
17.15/6.66	The graph contains the following edges 1 > 1, 2 > 2, 3 > 3
17.15/6.66	
17.15/6.66	
17.15/6.66	*new_esEs0(Right(xy4010), Right(xy3010), gc, app(app(app(ty_@3, gd), ge), gf)) -> new_esEs(xy4010, xy3010, gd, ge, gf)
17.15/6.66	The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4, 4 > 5
17.15/6.66	
17.15/6.66	
17.15/6.66	*new_esEs0(Left(xy4010), Left(xy3010), app(app(app(ty_@3, eh), fa), fb), fc) -> new_esEs(xy4010, xy3010, eh, fa, fb)
17.15/6.66	The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5
17.15/6.66	
17.15/6.66	
17.15/6.66	*new_esEs(@3(xy4010, xy4011, xy4012), @3(xy3010, xy3011, xy3012), ba, bb, app(app(app(ty_@3, bc), bd), be)) -> new_esEs(xy4012, xy3012, bc, bd, be)
17.15/6.66	The graph contains the following edges 1 > 1, 2 > 2, 5 > 3, 5 > 4, 5 > 5
17.15/6.66	
17.15/6.66	
17.15/6.66	*new_esEs(@3(xy4010, xy4011, xy4012), @3(xy3010, xy3011, xy3012), ba, app(app(app(ty_@3, cd), ce), cf), cg) -> new_esEs(xy4011, xy3011, cd, ce, cf)
17.15/6.66	The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4, 4 > 5
17.15/6.66	
17.15/6.66	
17.15/6.66	*new_esEs(@3(xy4010, xy4011, xy4012), @3(xy3010, xy3011, xy3012), app(app(app(ty_@3, dg), dh), ea), bb, cg) -> new_esEs(xy4010, xy3010, dg, dh, ea)
17.15/6.66	The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5
17.15/6.66	
17.15/6.66	
17.15/6.66	*new_esEs0(Right(xy4010), Right(xy3010), gc, app(app(ty_Either, gg), gh)) -> new_esEs0(xy4010, xy3010, gg, gh)
17.15/6.66	The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4
17.15/6.66	
17.15/6.66	
17.15/6.66	*new_esEs0(Left(xy4010), Left(xy3010), app(app(ty_Either, fd), ff), fc) -> new_esEs0(xy4010, xy3010, fd, ff)
17.15/6.66	The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4
17.15/6.66	
17.15/6.66	
17.15/6.66	*new_esEs(@3(xy4010, xy4011, xy4012), @3(xy3010, xy3011, xy3012), app(app(ty_Either, eb), ec), bb, cg) -> new_esEs0(xy4010, xy3010, eb, ec)
17.15/6.66	The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4
17.15/6.66	
17.15/6.66	
17.15/6.66	*new_esEs(@3(xy4010, xy4011, xy4012), @3(xy3010, xy3011, xy3012), ba, app(app(ty_Either, da), db), cg) -> new_esEs0(xy4011, xy3011, da, db)
17.15/6.66	The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4
17.15/6.66	
17.15/6.66	
17.15/6.66	*new_esEs(@3(xy4010, xy4011, xy4012), @3(xy3010, xy3011, xy3012), ba, bb, app(app(ty_Either, bf), bg)) -> new_esEs0(xy4012, xy3012, bf, bg)
17.15/6.66	The graph contains the following edges 1 > 1, 2 > 2, 5 > 3, 5 > 4
17.15/6.66	
17.15/6.66	
17.15/6.66	*new_esEs0(Left(xy4010), Left(xy3010), app(ty_Maybe, fg), fc) -> new_esEs1(xy4010, xy3010, fg)
17.15/6.66	The graph contains the following edges 1 > 1, 2 > 2, 3 > 3
17.15/6.66	
17.15/6.66	
17.15/6.66	*new_esEs0(Right(xy4010), Right(xy3010), gc, app(ty_Maybe, ha)) -> new_esEs1(xy4010, xy3010, ha)
17.15/6.66	The graph contains the following edges 1 > 1, 2 > 2, 4 > 3
17.15/6.66	
17.15/6.66	
17.15/6.66	*new_esEs0(Left(xy4010), Left(xy3010), app(app(ty_@2, fh), ga), fc) -> new_esEs2(xy4010, xy3010, fh, ga)
17.15/6.66	The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4
17.15/6.66	
17.15/6.66	
17.15/6.66	*new_esEs0(Right(xy4010), Right(xy3010), gc, app(app(ty_@2, hb), hc)) -> new_esEs2(xy4010, xy3010, hb, hc)
17.15/6.66	The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4
17.15/6.66	
17.15/6.66	
17.15/6.66	*new_esEs0(Right(xy4010), Right(xy3010), gc, app(ty_[], hd)) -> new_esEs3(xy4010, xy3010, hd)
17.15/6.66	The graph contains the following edges 1 > 1, 2 > 2, 4 > 3
17.15/6.66	
17.15/6.66	
17.15/6.66	*new_esEs0(Left(xy4010), Left(xy3010), app(ty_[], gb), fc) -> new_esEs3(xy4010, xy3010, gb)
17.15/6.66	The graph contains the following edges 1 > 1, 2 > 2, 3 > 3
17.15/6.66	
17.15/6.66	
17.15/6.66	*new_esEs(@3(xy4010, xy4011, xy4012), @3(xy3010, xy3011, xy3012), app(ty_Maybe, ed), bb, cg) -> new_esEs1(xy4010, xy3010, ed)
17.15/6.66	The graph contains the following edges 1 > 1, 2 > 2, 3 > 3
17.15/6.66	
17.15/6.66	
17.15/6.66	*new_esEs(@3(xy4010, xy4011, xy4012), @3(xy3010, xy3011, xy3012), ba, app(ty_Maybe, dc), cg) -> new_esEs1(xy4011, xy3011, dc)
17.15/6.66	The graph contains the following edges 1 > 1, 2 > 2, 4 > 3
17.15/6.66	
17.15/6.66	
17.15/6.66	*new_esEs(@3(xy4010, xy4011, xy4012), @3(xy3010, xy3011, xy3012), ba, bb, app(ty_Maybe, bh)) -> new_esEs1(xy4012, xy3012, bh)
17.15/6.66	The graph contains the following edges 1 > 1, 2 > 2, 5 > 3
17.15/6.66	
17.15/6.66	
17.15/6.66	*new_esEs(@3(xy4010, xy4011, xy4012), @3(xy3010, xy3011, xy3012), ba, app(app(ty_@2, dd), de), cg) -> new_esEs2(xy4011, xy3011, dd, de)
17.15/6.66	The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4
17.15/6.66	
17.15/6.66	
17.15/6.66	*new_esEs(@3(xy4010, xy4011, xy4012), @3(xy3010, xy3011, xy3012), ba, bb, app(app(ty_@2, ca), cb)) -> new_esEs2(xy4012, xy3012, ca, cb)
17.15/6.66	The graph contains the following edges 1 > 1, 2 > 2, 5 > 3, 5 > 4
17.15/6.66	
17.15/6.66	
17.15/6.66	*new_esEs(@3(xy4010, xy4011, xy4012), @3(xy3010, xy3011, xy3012), app(app(ty_@2, ee), ef), bb, cg) -> new_esEs2(xy4010, xy3010, ee, ef)
17.15/6.66	The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4
17.15/6.66	
17.15/6.66	
17.15/6.66	*new_esEs(@3(xy4010, xy4011, xy4012), @3(xy3010, xy3011, xy3012), ba, bb, app(ty_[], cc)) -> new_esEs3(xy4012, xy3012, cc)
17.15/6.66	The graph contains the following edges 1 > 1, 2 > 2, 5 > 3
17.15/6.66	
17.15/6.66	
17.15/6.66	*new_esEs(@3(xy4010, xy4011, xy4012), @3(xy3010, xy3011, xy3012), ba, app(ty_[], df), cg) -> new_esEs3(xy4011, xy3011, df)
17.15/6.66	The graph contains the following edges 1 > 1, 2 > 2, 4 > 3
17.15/6.66	
17.15/6.66	
17.15/6.66	*new_esEs(@3(xy4010, xy4011, xy4012), @3(xy3010, xy3011, xy3012), app(ty_[], eg), bb, cg) -> new_esEs3(xy4010, xy3010, eg)
17.15/6.66	The graph contains the following edges 1 > 1, 2 > 2, 3 > 3
17.15/6.66	
17.15/6.66	
17.15/6.66	*new_esEs3(:(xy4010, xy4011), :(xy3010, xy3011), app(ty_[], bec)) -> new_esEs3(xy4010, xy3010, bec)
17.15/6.66	The graph contains the following edges 1 > 1, 2 > 2, 3 > 3
17.15/6.66	
17.15/6.66	
17.15/6.66	*new_esEs3(:(xy4010, xy4011), :(xy3010, xy3011), bdb) -> new_esEs3(xy4011, xy3011, bdb)
17.15/6.66	The graph contains the following edges 1 > 1, 2 > 2, 3 >= 3
17.15/6.66	
17.15/6.66	
17.15/6.66	----------------------------------------
17.15/6.66	
17.15/6.66	(20)
17.15/6.66	YES
17.15/6.66	
17.15/6.66	----------------------------------------
17.15/6.66	
17.15/6.66	(21)
17.15/6.66	Obligation:
17.15/6.66	Q DP problem:
17.15/6.66	The TRS P consists of the following rules:
17.15/6.66	
17.15/6.66	   new_primPlusNat(Succ(xy4400), Succ(xy3011000)) -> new_primPlusNat(xy4400, xy3011000)
17.15/6.66	
17.15/6.66	R is empty.
17.15/6.66	Q is empty.
17.15/6.66	We have to consider all minimal (P,Q,R)-chains.
17.15/6.66	----------------------------------------
17.15/6.66	
17.15/6.66	(22) QDPSizeChangeProof (EQUIVALENT)
17.15/6.66	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. 
17.15/6.66	
17.15/6.66	From the DPs we obtained the following set of size-change graphs:
17.15/6.66	*new_primPlusNat(Succ(xy4400), Succ(xy3011000)) -> new_primPlusNat(xy4400, xy3011000)
17.15/6.66	The graph contains the following edges 1 > 1, 2 > 2
17.15/6.66	
17.15/6.66	
17.15/6.66	----------------------------------------
17.15/6.66	
17.15/6.66	(23)
17.15/6.66	YES
17.15/6.66	
17.15/6.66	----------------------------------------
17.15/6.66	
17.15/6.66	(24)
17.15/6.66	Obligation:
17.15/6.66	Q DP problem:
17.15/6.66	The TRS P consists of the following rules:
17.15/6.66	
17.15/6.66	   new_primEqNat(Succ(xy40100), Succ(xy30100)) -> new_primEqNat(xy40100, xy30100)
17.15/6.66	
17.15/6.66	R is empty.
17.15/6.66	Q is empty.
17.15/6.66	We have to consider all minimal (P,Q,R)-chains.
17.15/6.66	----------------------------------------
17.15/6.66	
17.15/6.66	(25) QDPSizeChangeProof (EQUIVALENT)
17.15/6.66	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. 
17.15/6.66	
17.15/6.66	From the DPs we obtained the following set of size-change graphs:
17.15/6.66	*new_primEqNat(Succ(xy40100), Succ(xy30100)) -> new_primEqNat(xy40100, xy30100)
17.15/6.66	The graph contains the following edges 1 > 1, 2 > 2
17.15/6.66	
17.15/6.66	
17.15/6.66	----------------------------------------
17.15/6.66	
17.15/6.66	(26)
17.15/6.66	YES
17.27/8.09	EOF