11.33/4.53	YES
13.12/5.01	proof of /export/starexec/sandbox2/benchmark/theBenchmark.hs
13.12/5.01	# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty
13.12/5.01	
13.12/5.01	
13.12/5.01	H-Termination with start terms of the given HASKELL could be proven:
13.12/5.01	
13.12/5.01	(0) HASKELL
13.12/5.01	(1) BR [EQUIVALENT, 0 ms]
13.12/5.01	(2) HASKELL
13.12/5.01	(3) COR [EQUIVALENT, 0 ms]
13.12/5.01	(4) HASKELL
13.12/5.01	(5) Narrow [SOUND, 0 ms]
13.12/5.01	(6) AND
13.12/5.01	    (7) QDP
13.12/5.01	        (8) DependencyGraphProof [EQUIVALENT, 0 ms]
13.12/5.01	        (9) AND
13.12/5.01	            (10) QDP
13.12/5.01	                (11) QDPSizeChangeProof [EQUIVALENT, 0 ms]
13.12/5.01	                (12) YES
13.12/5.01	            (13) QDP
13.12/5.01	                (14) QDPSizeChangeProof [EQUIVALENT, 0 ms]
13.12/5.01	                (15) YES
13.12/5.01	    (16) QDP
13.12/5.01	        (17) QDPSizeChangeProof [EQUIVALENT, 30 ms]
13.12/5.01	        (18) YES
13.12/5.01	    (19) QDP
13.12/5.01	        (20) QDPSizeChangeProof [EQUIVALENT, 0 ms]
13.12/5.01	        (21) YES
13.12/5.01	    (22) QDP
13.12/5.01	        (23) QDPSizeChangeProof [EQUIVALENT, 0 ms]
13.12/5.01	        (24) YES
13.12/5.01	    (25) QDP
13.12/5.01	        (26) QDPSizeChangeProof [EQUIVALENT, 0 ms]
13.12/5.01	        (27) YES
13.12/5.01	
13.12/5.01	
13.12/5.01	----------------------------------------
13.12/5.01	
13.12/5.01	(0)
13.12/5.01	Obligation:
13.12/5.01	mainModule Main 
13.12/5.01	module Main where {
13.12/5.01	import qualified Prelude;
13.12/5.01	}
13.12/5.01	
13.12/5.01	----------------------------------------
13.12/5.01	
13.12/5.01	(1) BR (EQUIVALENT)
13.12/5.01	Replaced joker patterns by fresh variables and removed binding patterns.
13.12/5.01	----------------------------------------
13.12/5.01	
13.12/5.01	(2)
13.12/5.01	Obligation:
13.12/5.01	mainModule Main 
13.12/5.01	module Main where {
13.12/5.01	import qualified Prelude;
13.12/5.01	}
13.12/5.01	
13.12/5.01	----------------------------------------
13.12/5.01	
13.12/5.01	(3) COR (EQUIVALENT)
13.12/5.01	Cond Reductions:
13.12/5.01	The following Function with conditions
13.12/5.01	"lookup k [] = Nothing;
13.12/5.01	lookup k ((x,y) : xys)|k == xJust y|otherwiselookup k xys;
13.12/5.01	"
13.12/5.01	is transformed to
13.12/5.01	"lookup k [] = lookup3 k [];
13.12/5.01	lookup k ((x,y) : xys) = lookup2 k ((x,y) : xys);
13.12/5.01	"
13.12/5.01	"lookup1 k x y xys True = Just y;
13.12/5.01	lookup1 k x y xys False = lookup0 k x y xys otherwise;
13.12/5.01	"
13.12/5.01	"lookup0 k x y xys True = lookup k xys;
13.12/5.01	"
13.12/5.01	"lookup2 k ((x,y) : xys) = lookup1 k x y xys (k == x);
13.12/5.01	"
13.12/5.01	"lookup3 k [] = Nothing;
13.12/5.01	lookup3 xy xz = lookup2 xy xz;
13.12/5.01	"
13.12/5.01	The following Function with conditions
13.12/5.01	"undefined |Falseundefined;
13.12/5.01	"
13.12/5.01	is transformed to
13.12/5.01	"undefined  = undefined1;
13.12/5.01	"
13.12/5.01	"undefined0 True = undefined;
13.12/5.01	"
13.12/5.01	"undefined1  = undefined0 False;
13.12/5.01	"
13.12/5.01	
13.12/5.01	----------------------------------------
13.12/5.01	
13.12/5.01	(4)
13.12/5.01	Obligation:
13.12/5.01	mainModule Main 
13.12/5.01	module Main where {
13.12/5.01	import qualified Prelude;
13.12/5.01	}
13.12/5.01	
13.12/5.01	----------------------------------------
13.12/5.01	
13.12/5.01	(5) Narrow (SOUND)
13.12/5.01	Haskell To QDPs
13.12/5.01	
13.12/5.01	digraph dp_graph {
13.12/5.01	node [outthreshold=100, inthreshold=100];1[label="lookup",fontsize=16,color="grey",shape="box"];1 -> 3[label="",style="dashed", color="grey", weight=3];
13.12/5.01	3[label="lookup yu3",fontsize=16,color="grey",shape="box"];3 -> 4[label="",style="dashed", color="grey", weight=3];
13.12/5.01	4[label="lookup yu3 yu4",fontsize=16,color="burlywood",shape="triangle"];703[label="yu4/yu40 : yu41",fontsize=10,color="white",style="solid",shape="box"];4 -> 703[label="",style="solid", color="burlywood", weight=9];
13.12/5.01	703 -> 5[label="",style="solid", color="burlywood", weight=3];
13.12/5.01	704[label="yu4/[]",fontsize=10,color="white",style="solid",shape="box"];4 -> 704[label="",style="solid", color="burlywood", weight=9];
13.12/5.01	704 -> 6[label="",style="solid", color="burlywood", weight=3];
13.12/5.01	5[label="lookup yu3 (yu40 : yu41)",fontsize=16,color="burlywood",shape="box"];705[label="yu40/(yu400,yu401)",fontsize=10,color="white",style="solid",shape="box"];5 -> 705[label="",style="solid", color="burlywood", weight=9];
13.12/5.01	705 -> 7[label="",style="solid", color="burlywood", weight=3];
13.12/5.01	6[label="lookup yu3 []",fontsize=16,color="black",shape="box"];6 -> 8[label="",style="solid", color="black", weight=3];
13.12/5.01	7[label="lookup yu3 ((yu400,yu401) : yu41)",fontsize=16,color="black",shape="box"];7 -> 9[label="",style="solid", color="black", weight=3];
13.12/5.01	8[label="lookup3 yu3 []",fontsize=16,color="black",shape="box"];8 -> 10[label="",style="solid", color="black", weight=3];
13.12/5.01	9[label="lookup2 yu3 ((yu400,yu401) : yu41)",fontsize=16,color="black",shape="box"];9 -> 11[label="",style="solid", color="black", weight=3];
13.12/5.01	10[label="Nothing",fontsize=16,color="green",shape="box"];11[label="lookup1 yu3 yu400 yu401 yu41 (yu3 == yu400)",fontsize=16,color="burlywood",shape="box"];706[label="yu3/Nothing",fontsize=10,color="white",style="solid",shape="box"];11 -> 706[label="",style="solid", color="burlywood", weight=9];
13.12/5.01	706 -> 12[label="",style="solid", color="burlywood", weight=3];
13.12/5.01	707[label="yu3/Just yu30",fontsize=10,color="white",style="solid",shape="box"];11 -> 707[label="",style="solid", color="burlywood", weight=9];
13.12/5.01	707 -> 13[label="",style="solid", color="burlywood", weight=3];
13.12/5.01	12[label="lookup1 Nothing yu400 yu401 yu41 (Nothing == yu400)",fontsize=16,color="burlywood",shape="box"];708[label="yu400/Nothing",fontsize=10,color="white",style="solid",shape="box"];12 -> 708[label="",style="solid", color="burlywood", weight=9];
13.12/5.01	708 -> 14[label="",style="solid", color="burlywood", weight=3];
13.12/5.01	709[label="yu400/Just yu4000",fontsize=10,color="white",style="solid",shape="box"];12 -> 709[label="",style="solid", color="burlywood", weight=9];
13.12/5.01	709 -> 15[label="",style="solid", color="burlywood", weight=3];
13.12/5.01	13[label="lookup1 (Just yu30) yu400 yu401 yu41 (Just yu30 == yu400)",fontsize=16,color="burlywood",shape="box"];710[label="yu400/Nothing",fontsize=10,color="white",style="solid",shape="box"];13 -> 710[label="",style="solid", color="burlywood", weight=9];
13.12/5.01	710 -> 16[label="",style="solid", color="burlywood", weight=3];
13.12/5.01	711[label="yu400/Just yu4000",fontsize=10,color="white",style="solid",shape="box"];13 -> 711[label="",style="solid", color="burlywood", weight=9];
13.12/5.01	711 -> 17[label="",style="solid", color="burlywood", weight=3];
13.12/5.01	14[label="lookup1 Nothing Nothing yu401 yu41 (Nothing == Nothing)",fontsize=16,color="black",shape="box"];14 -> 18[label="",style="solid", color="black", weight=3];
13.12/5.01	15[label="lookup1 Nothing (Just yu4000) yu401 yu41 (Nothing == Just yu4000)",fontsize=16,color="black",shape="box"];15 -> 19[label="",style="solid", color="black", weight=3];
13.12/5.01	16[label="lookup1 (Just yu30) Nothing yu401 yu41 (Just yu30 == Nothing)",fontsize=16,color="black",shape="box"];16 -> 20[label="",style="solid", color="black", weight=3];
13.12/5.01	17[label="lookup1 (Just yu30) (Just yu4000) yu401 yu41 (Just yu30 == Just yu4000)",fontsize=16,color="black",shape="box"];17 -> 21[label="",style="solid", color="black", weight=3];
13.12/5.01	18[label="lookup1 Nothing Nothing yu401 yu41 True",fontsize=16,color="black",shape="box"];18 -> 22[label="",style="solid", color="black", weight=3];
13.12/5.01	19[label="lookup1 Nothing (Just yu4000) yu401 yu41 False",fontsize=16,color="black",shape="box"];19 -> 23[label="",style="solid", color="black", weight=3];
13.12/5.01	20[label="lookup1 (Just yu30) Nothing yu401 yu41 False",fontsize=16,color="black",shape="box"];20 -> 24[label="",style="solid", color="black", weight=3];
13.12/5.01	21 -> 25[label="",style="dashed", color="red", weight=0];
13.12/5.01	21[label="lookup1 (Just yu30) (Just yu4000) yu401 yu41 (yu30 == yu4000)",fontsize=16,color="magenta"];21 -> 26[label="",style="dashed", color="magenta", weight=3];
13.12/5.01	21 -> 27[label="",style="dashed", color="magenta", weight=3];
13.12/5.01	21 -> 28[label="",style="dashed", color="magenta", weight=3];
13.12/5.01	21 -> 29[label="",style="dashed", color="magenta", weight=3];
13.12/5.01	21 -> 30[label="",style="dashed", color="magenta", weight=3];
13.12/5.01	22[label="Just yu401",fontsize=16,color="green",shape="box"];23[label="lookup0 Nothing (Just yu4000) yu401 yu41 otherwise",fontsize=16,color="black",shape="box"];23 -> 31[label="",style="solid", color="black", weight=3];
13.12/5.01	24[label="lookup0 (Just yu30) Nothing yu401 yu41 otherwise",fontsize=16,color="black",shape="box"];24 -> 32[label="",style="solid", color="black", weight=3];
13.12/5.01	26[label="yu30",fontsize=16,color="green",shape="box"];27[label="yu4000",fontsize=16,color="green",shape="box"];28[label="yu41",fontsize=16,color="green",shape="box"];29[label="yu401",fontsize=16,color="green",shape="box"];30[label="yu30 == yu4000",fontsize=16,color="blue",shape="box"];712[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];30 -> 712[label="",style="solid", color="blue", weight=9];
13.12/5.01	712 -> 33[label="",style="solid", color="blue", weight=3];
13.12/5.01	713[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];30 -> 713[label="",style="solid", color="blue", weight=9];
13.12/5.01	713 -> 34[label="",style="solid", color="blue", weight=3];
13.12/5.01	714[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];30 -> 714[label="",style="solid", color="blue", weight=9];
13.12/5.01	714 -> 35[label="",style="solid", color="blue", weight=3];
13.12/5.01	715[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];30 -> 715[label="",style="solid", color="blue", weight=9];
13.12/5.01	715 -> 36[label="",style="solid", color="blue", weight=3];
13.12/5.01	716[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];30 -> 716[label="",style="solid", color="blue", weight=9];
13.12/5.01	716 -> 37[label="",style="solid", color="blue", weight=3];
13.12/5.01	717[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];30 -> 717[label="",style="solid", color="blue", weight=9];
13.12/5.01	717 -> 38[label="",style="solid", color="blue", weight=3];
13.12/5.01	718[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];30 -> 718[label="",style="solid", color="blue", weight=9];
13.12/5.01	718 -> 39[label="",style="solid", color="blue", weight=3];
13.12/5.01	719[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];30 -> 719[label="",style="solid", color="blue", weight=9];
13.12/5.01	719 -> 40[label="",style="solid", color="blue", weight=3];
13.12/5.01	720[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];30 -> 720[label="",style="solid", color="blue", weight=9];
13.12/5.01	720 -> 41[label="",style="solid", color="blue", weight=3];
13.12/5.01	721[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];30 -> 721[label="",style="solid", color="blue", weight=9];
13.12/5.01	721 -> 42[label="",style="solid", color="blue", weight=3];
13.12/5.01	722[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];30 -> 722[label="",style="solid", color="blue", weight=9];
13.12/5.01	722 -> 43[label="",style="solid", color="blue", weight=3];
13.12/5.01	723[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];30 -> 723[label="",style="solid", color="blue", weight=9];
13.12/5.01	723 -> 44[label="",style="solid", color="blue", weight=3];
13.12/5.01	724[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];30 -> 724[label="",style="solid", color="blue", weight=9];
13.12/5.01	724 -> 45[label="",style="solid", color="blue", weight=3];
13.12/5.01	725[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];30 -> 725[label="",style="solid", color="blue", weight=9];
13.12/5.01	725 -> 46[label="",style="solid", color="blue", weight=3];
13.12/5.01	25[label="lookup1 (Just yu11) (Just yu12) yu13 yu14 yu15",fontsize=16,color="burlywood",shape="triangle"];726[label="yu15/False",fontsize=10,color="white",style="solid",shape="box"];25 -> 726[label="",style="solid", color="burlywood", weight=9];
13.12/5.01	726 -> 47[label="",style="solid", color="burlywood", weight=3];
13.12/5.01	727[label="yu15/True",fontsize=10,color="white",style="solid",shape="box"];25 -> 727[label="",style="solid", color="burlywood", weight=9];
13.12/5.01	727 -> 48[label="",style="solid", color="burlywood", weight=3];
13.12/5.01	31[label="lookup0 Nothing (Just yu4000) yu401 yu41 True",fontsize=16,color="black",shape="box"];31 -> 49[label="",style="solid", color="black", weight=3];
13.12/5.01	32[label="lookup0 (Just yu30) Nothing yu401 yu41 True",fontsize=16,color="black",shape="box"];32 -> 50[label="",style="solid", color="black", weight=3];
13.12/5.01	33[label="yu30 == yu4000",fontsize=16,color="burlywood",shape="triangle"];728[label="yu30/yu300 :% yu301",fontsize=10,color="white",style="solid",shape="box"];33 -> 728[label="",style="solid", color="burlywood", weight=9];
13.12/5.01	728 -> 51[label="",style="solid", color="burlywood", weight=3];
13.12/5.01	34[label="yu30 == yu4000",fontsize=16,color="black",shape="triangle"];34 -> 52[label="",style="solid", color="black", weight=3];
13.12/5.01	35[label="yu30 == yu4000",fontsize=16,color="burlywood",shape="triangle"];729[label="yu30/(yu300,yu301,yu302)",fontsize=10,color="white",style="solid",shape="box"];35 -> 729[label="",style="solid", color="burlywood", weight=9];
13.12/5.01	729 -> 53[label="",style="solid", color="burlywood", weight=3];
13.12/5.01	36[label="yu30 == yu4000",fontsize=16,color="burlywood",shape="triangle"];730[label="yu30/(yu300,yu301)",fontsize=10,color="white",style="solid",shape="box"];36 -> 730[label="",style="solid", color="burlywood", weight=9];
13.12/5.01	730 -> 54[label="",style="solid", color="burlywood", weight=3];
13.12/5.01	37[label="yu30 == yu4000",fontsize=16,color="black",shape="triangle"];37 -> 55[label="",style="solid", color="black", weight=3];
13.12/5.01	38[label="yu30 == yu4000",fontsize=16,color="burlywood",shape="triangle"];731[label="yu30/()",fontsize=10,color="white",style="solid",shape="box"];38 -> 731[label="",style="solid", color="burlywood", weight=9];
13.12/5.01	731 -> 56[label="",style="solid", color="burlywood", weight=3];
13.12/5.01	39[label="yu30 == yu4000",fontsize=16,color="burlywood",shape="triangle"];732[label="yu30/Integer yu300",fontsize=10,color="white",style="solid",shape="box"];39 -> 732[label="",style="solid", color="burlywood", weight=9];
13.12/5.01	732 -> 57[label="",style="solid", color="burlywood", weight=3];
13.12/5.01	40[label="yu30 == yu4000",fontsize=16,color="burlywood",shape="triangle"];733[label="yu30/LT",fontsize=10,color="white",style="solid",shape="box"];40 -> 733[label="",style="solid", color="burlywood", weight=9];
13.12/5.01	733 -> 58[label="",style="solid", color="burlywood", weight=3];
13.12/5.01	734[label="yu30/EQ",fontsize=10,color="white",style="solid",shape="box"];40 -> 734[label="",style="solid", color="burlywood", weight=9];
13.12/5.01	734 -> 59[label="",style="solid", color="burlywood", weight=3];
13.12/5.01	735[label="yu30/GT",fontsize=10,color="white",style="solid",shape="box"];40 -> 735[label="",style="solid", color="burlywood", weight=9];
13.12/5.01	735 -> 60[label="",style="solid", color="burlywood", weight=3];
13.12/5.01	41[label="yu30 == yu4000",fontsize=16,color="burlywood",shape="triangle"];736[label="yu30/False",fontsize=10,color="white",style="solid",shape="box"];41 -> 736[label="",style="solid", color="burlywood", weight=9];
13.12/5.01	736 -> 61[label="",style="solid", color="burlywood", weight=3];
13.12/5.01	737[label="yu30/True",fontsize=10,color="white",style="solid",shape="box"];41 -> 737[label="",style="solid", color="burlywood", weight=9];
13.12/5.01	737 -> 62[label="",style="solid", color="burlywood", weight=3];
13.12/5.01	42[label="yu30 == yu4000",fontsize=16,color="burlywood",shape="triangle"];738[label="yu30/Left yu300",fontsize=10,color="white",style="solid",shape="box"];42 -> 738[label="",style="solid", color="burlywood", weight=9];
13.12/5.01	738 -> 63[label="",style="solid", color="burlywood", weight=3];
13.12/5.01	739[label="yu30/Right yu300",fontsize=10,color="white",style="solid",shape="box"];42 -> 739[label="",style="solid", color="burlywood", weight=9];
13.12/5.01	739 -> 64[label="",style="solid", color="burlywood", weight=3];
13.12/5.01	43[label="yu30 == yu4000",fontsize=16,color="burlywood",shape="triangle"];740[label="yu30/yu300 : yu301",fontsize=10,color="white",style="solid",shape="box"];43 -> 740[label="",style="solid", color="burlywood", weight=9];
13.12/5.01	740 -> 65[label="",style="solid", color="burlywood", weight=3];
13.12/5.01	741[label="yu30/[]",fontsize=10,color="white",style="solid",shape="box"];43 -> 741[label="",style="solid", color="burlywood", weight=9];
13.12/5.01	741 -> 66[label="",style="solid", color="burlywood", weight=3];
13.12/5.01	44[label="yu30 == yu4000",fontsize=16,color="black",shape="triangle"];44 -> 67[label="",style="solid", color="black", weight=3];
13.12/5.01	45[label="yu30 == yu4000",fontsize=16,color="black",shape="triangle"];45 -> 68[label="",style="solid", color="black", weight=3];
13.12/5.01	46[label="yu30 == yu4000",fontsize=16,color="burlywood",shape="triangle"];742[label="yu30/Nothing",fontsize=10,color="white",style="solid",shape="box"];46 -> 742[label="",style="solid", color="burlywood", weight=9];
13.12/5.01	742 -> 69[label="",style="solid", color="burlywood", weight=3];
13.12/5.01	743[label="yu30/Just yu300",fontsize=10,color="white",style="solid",shape="box"];46 -> 743[label="",style="solid", color="burlywood", weight=9];
13.12/5.01	743 -> 70[label="",style="solid", color="burlywood", weight=3];
13.12/5.01	47[label="lookup1 (Just yu11) (Just yu12) yu13 yu14 False",fontsize=16,color="black",shape="box"];47 -> 71[label="",style="solid", color="black", weight=3];
13.12/5.01	48[label="lookup1 (Just yu11) (Just yu12) yu13 yu14 True",fontsize=16,color="black",shape="box"];48 -> 72[label="",style="solid", color="black", weight=3];
13.12/5.01	49 -> 4[label="",style="dashed", color="red", weight=0];
13.12/5.01	49[label="lookup Nothing yu41",fontsize=16,color="magenta"];49 -> 73[label="",style="dashed", color="magenta", weight=3];
13.12/5.01	49 -> 74[label="",style="dashed", color="magenta", weight=3];
13.12/5.01	50 -> 4[label="",style="dashed", color="red", weight=0];
13.12/5.01	50[label="lookup (Just yu30) yu41",fontsize=16,color="magenta"];50 -> 75[label="",style="dashed", color="magenta", weight=3];
13.12/5.01	50 -> 76[label="",style="dashed", color="magenta", weight=3];
13.12/5.01	51[label="yu300 :% yu301 == yu4000",fontsize=16,color="burlywood",shape="box"];744[label="yu4000/yu40000 :% yu40001",fontsize=10,color="white",style="solid",shape="box"];51 -> 744[label="",style="solid", color="burlywood", weight=9];
13.12/5.01	744 -> 77[label="",style="solid", color="burlywood", weight=3];
13.12/5.01	52[label="primEqFloat yu30 yu4000",fontsize=16,color="burlywood",shape="box"];745[label="yu30/Float yu300 yu301",fontsize=10,color="white",style="solid",shape="box"];52 -> 745[label="",style="solid", color="burlywood", weight=9];
13.12/5.01	745 -> 78[label="",style="solid", color="burlywood", weight=3];
13.12/5.01	53[label="(yu300,yu301,yu302) == yu4000",fontsize=16,color="burlywood",shape="box"];746[label="yu4000/(yu40000,yu40001,yu40002)",fontsize=10,color="white",style="solid",shape="box"];53 -> 746[label="",style="solid", color="burlywood", weight=9];
13.12/5.01	746 -> 79[label="",style="solid", color="burlywood", weight=3];
13.12/5.01	54[label="(yu300,yu301) == yu4000",fontsize=16,color="burlywood",shape="box"];747[label="yu4000/(yu40000,yu40001)",fontsize=10,color="white",style="solid",shape="box"];54 -> 747[label="",style="solid", color="burlywood", weight=9];
13.12/5.01	747 -> 80[label="",style="solid", color="burlywood", weight=3];
13.12/5.01	55[label="primEqDouble yu30 yu4000",fontsize=16,color="burlywood",shape="box"];748[label="yu30/Double yu300 yu301",fontsize=10,color="white",style="solid",shape="box"];55 -> 748[label="",style="solid", color="burlywood", weight=9];
13.12/5.01	748 -> 81[label="",style="solid", color="burlywood", weight=3];
13.12/5.01	56[label="() == yu4000",fontsize=16,color="burlywood",shape="box"];749[label="yu4000/()",fontsize=10,color="white",style="solid",shape="box"];56 -> 749[label="",style="solid", color="burlywood", weight=9];
13.12/5.01	749 -> 82[label="",style="solid", color="burlywood", weight=3];
13.12/5.01	57[label="Integer yu300 == yu4000",fontsize=16,color="burlywood",shape="box"];750[label="yu4000/Integer yu40000",fontsize=10,color="white",style="solid",shape="box"];57 -> 750[label="",style="solid", color="burlywood", weight=9];
13.12/5.01	750 -> 83[label="",style="solid", color="burlywood", weight=3];
13.12/5.01	58[label="LT == yu4000",fontsize=16,color="burlywood",shape="box"];751[label="yu4000/LT",fontsize=10,color="white",style="solid",shape="box"];58 -> 751[label="",style="solid", color="burlywood", weight=9];
13.12/5.01	751 -> 84[label="",style="solid", color="burlywood", weight=3];
13.12/5.01	752[label="yu4000/EQ",fontsize=10,color="white",style="solid",shape="box"];58 -> 752[label="",style="solid", color="burlywood", weight=9];
13.12/5.01	752 -> 85[label="",style="solid", color="burlywood", weight=3];
13.12/5.01	753[label="yu4000/GT",fontsize=10,color="white",style="solid",shape="box"];58 -> 753[label="",style="solid", color="burlywood", weight=9];
13.12/5.01	753 -> 86[label="",style="solid", color="burlywood", weight=3];
13.12/5.01	59[label="EQ == yu4000",fontsize=16,color="burlywood",shape="box"];754[label="yu4000/LT",fontsize=10,color="white",style="solid",shape="box"];59 -> 754[label="",style="solid", color="burlywood", weight=9];
13.12/5.01	754 -> 87[label="",style="solid", color="burlywood", weight=3];
13.12/5.01	755[label="yu4000/EQ",fontsize=10,color="white",style="solid",shape="box"];59 -> 755[label="",style="solid", color="burlywood", weight=9];
13.12/5.01	755 -> 88[label="",style="solid", color="burlywood", weight=3];
13.12/5.01	756[label="yu4000/GT",fontsize=10,color="white",style="solid",shape="box"];59 -> 756[label="",style="solid", color="burlywood", weight=9];
13.12/5.01	756 -> 89[label="",style="solid", color="burlywood", weight=3];
13.12/5.01	60[label="GT == yu4000",fontsize=16,color="burlywood",shape="box"];757[label="yu4000/LT",fontsize=10,color="white",style="solid",shape="box"];60 -> 757[label="",style="solid", color="burlywood", weight=9];
13.12/5.01	757 -> 90[label="",style="solid", color="burlywood", weight=3];
13.12/5.01	758[label="yu4000/EQ",fontsize=10,color="white",style="solid",shape="box"];60 -> 758[label="",style="solid", color="burlywood", weight=9];
13.12/5.01	758 -> 91[label="",style="solid", color="burlywood", weight=3];
13.12/5.01	759[label="yu4000/GT",fontsize=10,color="white",style="solid",shape="box"];60 -> 759[label="",style="solid", color="burlywood", weight=9];
13.12/5.01	759 -> 92[label="",style="solid", color="burlywood", weight=3];
13.12/5.01	61[label="False == yu4000",fontsize=16,color="burlywood",shape="box"];760[label="yu4000/False",fontsize=10,color="white",style="solid",shape="box"];61 -> 760[label="",style="solid", color="burlywood", weight=9];
13.12/5.01	760 -> 93[label="",style="solid", color="burlywood", weight=3];
13.12/5.01	761[label="yu4000/True",fontsize=10,color="white",style="solid",shape="box"];61 -> 761[label="",style="solid", color="burlywood", weight=9];
13.12/5.01	761 -> 94[label="",style="solid", color="burlywood", weight=3];
13.12/5.01	62[label="True == yu4000",fontsize=16,color="burlywood",shape="box"];762[label="yu4000/False",fontsize=10,color="white",style="solid",shape="box"];62 -> 762[label="",style="solid", color="burlywood", weight=9];
13.12/5.01	762 -> 95[label="",style="solid", color="burlywood", weight=3];
13.12/5.01	763[label="yu4000/True",fontsize=10,color="white",style="solid",shape="box"];62 -> 763[label="",style="solid", color="burlywood", weight=9];
13.12/5.01	763 -> 96[label="",style="solid", color="burlywood", weight=3];
13.12/5.01	63[label="Left yu300 == yu4000",fontsize=16,color="burlywood",shape="box"];764[label="yu4000/Left yu40000",fontsize=10,color="white",style="solid",shape="box"];63 -> 764[label="",style="solid", color="burlywood", weight=9];
13.12/5.01	764 -> 97[label="",style="solid", color="burlywood", weight=3];
13.12/5.01	765[label="yu4000/Right yu40000",fontsize=10,color="white",style="solid",shape="box"];63 -> 765[label="",style="solid", color="burlywood", weight=9];
13.12/5.01	765 -> 98[label="",style="solid", color="burlywood", weight=3];
13.12/5.01	64[label="Right yu300 == yu4000",fontsize=16,color="burlywood",shape="box"];766[label="yu4000/Left yu40000",fontsize=10,color="white",style="solid",shape="box"];64 -> 766[label="",style="solid", color="burlywood", weight=9];
13.12/5.01	766 -> 99[label="",style="solid", color="burlywood", weight=3];
13.12/5.01	767[label="yu4000/Right yu40000",fontsize=10,color="white",style="solid",shape="box"];64 -> 767[label="",style="solid", color="burlywood", weight=9];
13.12/5.01	767 -> 100[label="",style="solid", color="burlywood", weight=3];
13.12/5.01	65[label="yu300 : yu301 == yu4000",fontsize=16,color="burlywood",shape="box"];768[label="yu4000/yu40000 : yu40001",fontsize=10,color="white",style="solid",shape="box"];65 -> 768[label="",style="solid", color="burlywood", weight=9];
13.12/5.01	768 -> 101[label="",style="solid", color="burlywood", weight=3];
13.12/5.01	769[label="yu4000/[]",fontsize=10,color="white",style="solid",shape="box"];65 -> 769[label="",style="solid", color="burlywood", weight=9];
13.12/5.01	769 -> 102[label="",style="solid", color="burlywood", weight=3];
13.12/5.01	66[label="[] == yu4000",fontsize=16,color="burlywood",shape="box"];770[label="yu4000/yu40000 : yu40001",fontsize=10,color="white",style="solid",shape="box"];66 -> 770[label="",style="solid", color="burlywood", weight=9];
13.12/5.01	770 -> 103[label="",style="solid", color="burlywood", weight=3];
13.12/5.01	771[label="yu4000/[]",fontsize=10,color="white",style="solid",shape="box"];66 -> 771[label="",style="solid", color="burlywood", weight=9];
13.12/5.01	771 -> 104[label="",style="solid", color="burlywood", weight=3];
13.12/5.01	67[label="primEqChar yu30 yu4000",fontsize=16,color="burlywood",shape="box"];772[label="yu30/Char yu300",fontsize=10,color="white",style="solid",shape="box"];67 -> 772[label="",style="solid", color="burlywood", weight=9];
13.12/5.01	772 -> 105[label="",style="solid", color="burlywood", weight=3];
13.12/5.01	68[label="primEqInt yu30 yu4000",fontsize=16,color="burlywood",shape="triangle"];773[label="yu30/Pos yu300",fontsize=10,color="white",style="solid",shape="box"];68 -> 773[label="",style="solid", color="burlywood", weight=9];
13.12/5.01	773 -> 106[label="",style="solid", color="burlywood", weight=3];
13.12/5.01	774[label="yu30/Neg yu300",fontsize=10,color="white",style="solid",shape="box"];68 -> 774[label="",style="solid", color="burlywood", weight=9];
13.12/5.01	774 -> 107[label="",style="solid", color="burlywood", weight=3];
13.12/5.01	69[label="Nothing == yu4000",fontsize=16,color="burlywood",shape="box"];775[label="yu4000/Nothing",fontsize=10,color="white",style="solid",shape="box"];69 -> 775[label="",style="solid", color="burlywood", weight=9];
13.12/5.01	775 -> 108[label="",style="solid", color="burlywood", weight=3];
13.12/5.01	776[label="yu4000/Just yu40000",fontsize=10,color="white",style="solid",shape="box"];69 -> 776[label="",style="solid", color="burlywood", weight=9];
13.12/5.01	776 -> 109[label="",style="solid", color="burlywood", weight=3];
13.12/5.01	70[label="Just yu300 == yu4000",fontsize=16,color="burlywood",shape="box"];777[label="yu4000/Nothing",fontsize=10,color="white",style="solid",shape="box"];70 -> 777[label="",style="solid", color="burlywood", weight=9];
13.12/5.01	777 -> 110[label="",style="solid", color="burlywood", weight=3];
13.12/5.01	778[label="yu4000/Just yu40000",fontsize=10,color="white",style="solid",shape="box"];70 -> 778[label="",style="solid", color="burlywood", weight=9];
13.12/5.01	778 -> 111[label="",style="solid", color="burlywood", weight=3];
13.12/5.01	71[label="lookup0 (Just yu11) (Just yu12) yu13 yu14 otherwise",fontsize=16,color="black",shape="box"];71 -> 112[label="",style="solid", color="black", weight=3];
13.12/5.01	72[label="Just yu13",fontsize=16,color="green",shape="box"];73[label="yu41",fontsize=16,color="green",shape="box"];74[label="Nothing",fontsize=16,color="green",shape="box"];75[label="yu41",fontsize=16,color="green",shape="box"];76[label="Just yu30",fontsize=16,color="green",shape="box"];77[label="yu300 :% yu301 == yu40000 :% yu40001",fontsize=16,color="black",shape="box"];77 -> 113[label="",style="solid", color="black", weight=3];
13.12/5.01	78[label="primEqFloat (Float yu300 yu301) yu4000",fontsize=16,color="burlywood",shape="box"];779[label="yu4000/Float yu40000 yu40001",fontsize=10,color="white",style="solid",shape="box"];78 -> 779[label="",style="solid", color="burlywood", weight=9];
13.12/5.01	779 -> 114[label="",style="solid", color="burlywood", weight=3];
13.12/5.01	79[label="(yu300,yu301,yu302) == (yu40000,yu40001,yu40002)",fontsize=16,color="black",shape="box"];79 -> 115[label="",style="solid", color="black", weight=3];
13.12/5.01	80[label="(yu300,yu301) == (yu40000,yu40001)",fontsize=16,color="black",shape="box"];80 -> 116[label="",style="solid", color="black", weight=3];
13.12/5.01	81[label="primEqDouble (Double yu300 yu301) yu4000",fontsize=16,color="burlywood",shape="box"];780[label="yu4000/Double yu40000 yu40001",fontsize=10,color="white",style="solid",shape="box"];81 -> 780[label="",style="solid", color="burlywood", weight=9];
13.12/5.01	780 -> 117[label="",style="solid", color="burlywood", weight=3];
13.12/5.01	82[label="() == ()",fontsize=16,color="black",shape="box"];82 -> 118[label="",style="solid", color="black", weight=3];
13.12/5.01	83[label="Integer yu300 == Integer yu40000",fontsize=16,color="black",shape="box"];83 -> 119[label="",style="solid", color="black", weight=3];
13.12/5.01	84[label="LT == LT",fontsize=16,color="black",shape="box"];84 -> 120[label="",style="solid", color="black", weight=3];
13.12/5.01	85[label="LT == EQ",fontsize=16,color="black",shape="box"];85 -> 121[label="",style="solid", color="black", weight=3];
13.12/5.01	86[label="LT == GT",fontsize=16,color="black",shape="box"];86 -> 122[label="",style="solid", color="black", weight=3];
13.12/5.01	87[label="EQ == LT",fontsize=16,color="black",shape="box"];87 -> 123[label="",style="solid", color="black", weight=3];
13.12/5.01	88[label="EQ == EQ",fontsize=16,color="black",shape="box"];88 -> 124[label="",style="solid", color="black", weight=3];
13.12/5.01	89[label="EQ == GT",fontsize=16,color="black",shape="box"];89 -> 125[label="",style="solid", color="black", weight=3];
13.12/5.01	90[label="GT == LT",fontsize=16,color="black",shape="box"];90 -> 126[label="",style="solid", color="black", weight=3];
13.12/5.01	91[label="GT == EQ",fontsize=16,color="black",shape="box"];91 -> 127[label="",style="solid", color="black", weight=3];
13.12/5.01	92[label="GT == GT",fontsize=16,color="black",shape="box"];92 -> 128[label="",style="solid", color="black", weight=3];
13.12/5.01	93[label="False == False",fontsize=16,color="black",shape="box"];93 -> 129[label="",style="solid", color="black", weight=3];
13.12/5.01	94[label="False == True",fontsize=16,color="black",shape="box"];94 -> 130[label="",style="solid", color="black", weight=3];
13.12/5.01	95[label="True == False",fontsize=16,color="black",shape="box"];95 -> 131[label="",style="solid", color="black", weight=3];
13.12/5.01	96[label="True == True",fontsize=16,color="black",shape="box"];96 -> 132[label="",style="solid", color="black", weight=3];
13.12/5.01	97[label="Left yu300 == Left yu40000",fontsize=16,color="black",shape="box"];97 -> 133[label="",style="solid", color="black", weight=3];
13.12/5.01	98[label="Left yu300 == Right yu40000",fontsize=16,color="black",shape="box"];98 -> 134[label="",style="solid", color="black", weight=3];
13.12/5.01	99[label="Right yu300 == Left yu40000",fontsize=16,color="black",shape="box"];99 -> 135[label="",style="solid", color="black", weight=3];
13.12/5.01	100[label="Right yu300 == Right yu40000",fontsize=16,color="black",shape="box"];100 -> 136[label="",style="solid", color="black", weight=3];
13.12/5.01	101[label="yu300 : yu301 == yu40000 : yu40001",fontsize=16,color="black",shape="box"];101 -> 137[label="",style="solid", color="black", weight=3];
13.12/5.01	102[label="yu300 : yu301 == []",fontsize=16,color="black",shape="box"];102 -> 138[label="",style="solid", color="black", weight=3];
13.12/5.01	103[label="[] == yu40000 : yu40001",fontsize=16,color="black",shape="box"];103 -> 139[label="",style="solid", color="black", weight=3];
13.12/5.01	104[label="[] == []",fontsize=16,color="black",shape="box"];104 -> 140[label="",style="solid", color="black", weight=3];
13.12/5.01	105[label="primEqChar (Char yu300) yu4000",fontsize=16,color="burlywood",shape="box"];781[label="yu4000/Char yu40000",fontsize=10,color="white",style="solid",shape="box"];105 -> 781[label="",style="solid", color="burlywood", weight=9];
13.12/5.01	781 -> 141[label="",style="solid", color="burlywood", weight=3];
13.12/5.01	106[label="primEqInt (Pos yu300) yu4000",fontsize=16,color="burlywood",shape="box"];782[label="yu300/Succ yu3000",fontsize=10,color="white",style="solid",shape="box"];106 -> 782[label="",style="solid", color="burlywood", weight=9];
13.12/5.01	782 -> 142[label="",style="solid", color="burlywood", weight=3];
13.12/5.01	783[label="yu300/Zero",fontsize=10,color="white",style="solid",shape="box"];106 -> 783[label="",style="solid", color="burlywood", weight=9];
13.12/5.01	783 -> 143[label="",style="solid", color="burlywood", weight=3];
13.12/5.01	107[label="primEqInt (Neg yu300) yu4000",fontsize=16,color="burlywood",shape="box"];784[label="yu300/Succ yu3000",fontsize=10,color="white",style="solid",shape="box"];107 -> 784[label="",style="solid", color="burlywood", weight=9];
13.12/5.01	784 -> 144[label="",style="solid", color="burlywood", weight=3];
13.12/5.01	785[label="yu300/Zero",fontsize=10,color="white",style="solid",shape="box"];107 -> 785[label="",style="solid", color="burlywood", weight=9];
13.12/5.01	785 -> 145[label="",style="solid", color="burlywood", weight=3];
13.12/5.01	108[label="Nothing == Nothing",fontsize=16,color="black",shape="box"];108 -> 146[label="",style="solid", color="black", weight=3];
13.12/5.01	109[label="Nothing == Just yu40000",fontsize=16,color="black",shape="box"];109 -> 147[label="",style="solid", color="black", weight=3];
13.12/5.01	110[label="Just yu300 == Nothing",fontsize=16,color="black",shape="box"];110 -> 148[label="",style="solid", color="black", weight=3];
13.12/5.01	111[label="Just yu300 == Just yu40000",fontsize=16,color="black",shape="box"];111 -> 149[label="",style="solid", color="black", weight=3];
13.12/5.01	112[label="lookup0 (Just yu11) (Just yu12) yu13 yu14 True",fontsize=16,color="black",shape="box"];112 -> 150[label="",style="solid", color="black", weight=3];
13.12/5.01	113 -> 231[label="",style="dashed", color="red", weight=0];
13.12/5.01	113[label="yu300 == yu40000 && yu301 == yu40001",fontsize=16,color="magenta"];113 -> 232[label="",style="dashed", color="magenta", weight=3];
13.12/5.01	113 -> 233[label="",style="dashed", color="magenta", weight=3];
13.12/5.01	114[label="primEqFloat (Float yu300 yu301) (Float yu40000 yu40001)",fontsize=16,color="black",shape="box"];114 -> 161[label="",style="solid", color="black", weight=3];
13.12/5.01	115 -> 231[label="",style="dashed", color="red", weight=0];
13.12/5.01	115[label="yu300 == yu40000 && yu301 == yu40001 && yu302 == yu40002",fontsize=16,color="magenta"];115 -> 234[label="",style="dashed", color="magenta", weight=3];
13.12/5.01	115 -> 235[label="",style="dashed", color="magenta", weight=3];
13.12/5.01	116 -> 231[label="",style="dashed", color="red", weight=0];
13.12/5.01	116[label="yu300 == yu40000 && yu301 == yu40001",fontsize=16,color="magenta"];116 -> 236[label="",style="dashed", color="magenta", weight=3];
13.12/5.01	116 -> 237[label="",style="dashed", color="magenta", weight=3];
13.12/5.01	117[label="primEqDouble (Double yu300 yu301) (Double yu40000 yu40001)",fontsize=16,color="black",shape="box"];117 -> 173[label="",style="solid", color="black", weight=3];
13.12/5.01	118[label="True",fontsize=16,color="green",shape="box"];119 -> 68[label="",style="dashed", color="red", weight=0];
13.12/5.01	119[label="primEqInt yu300 yu40000",fontsize=16,color="magenta"];119 -> 174[label="",style="dashed", color="magenta", weight=3];
13.12/5.01	119 -> 175[label="",style="dashed", color="magenta", weight=3];
13.12/5.01	120[label="True",fontsize=16,color="green",shape="box"];121[label="False",fontsize=16,color="green",shape="box"];122[label="False",fontsize=16,color="green",shape="box"];123[label="False",fontsize=16,color="green",shape="box"];124[label="True",fontsize=16,color="green",shape="box"];125[label="False",fontsize=16,color="green",shape="box"];126[label="False",fontsize=16,color="green",shape="box"];127[label="False",fontsize=16,color="green",shape="box"];128[label="True",fontsize=16,color="green",shape="box"];129[label="True",fontsize=16,color="green",shape="box"];130[label="False",fontsize=16,color="green",shape="box"];131[label="False",fontsize=16,color="green",shape="box"];132[label="True",fontsize=16,color="green",shape="box"];133[label="yu300 == yu40000",fontsize=16,color="blue",shape="box"];786[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];133 -> 786[label="",style="solid", color="blue", weight=9];
13.12/5.01	786 -> 176[label="",style="solid", color="blue", weight=3];
13.12/5.01	787[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];133 -> 787[label="",style="solid", color="blue", weight=9];
13.12/5.01	787 -> 177[label="",style="solid", color="blue", weight=3];
13.12/5.01	788[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];133 -> 788[label="",style="solid", color="blue", weight=9];
13.12/5.01	788 -> 178[label="",style="solid", color="blue", weight=3];
13.12/5.01	789[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];133 -> 789[label="",style="solid", color="blue", weight=9];
13.12/5.01	789 -> 179[label="",style="solid", color="blue", weight=3];
13.12/5.01	790[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];133 -> 790[label="",style="solid", color="blue", weight=9];
13.12/5.01	790 -> 180[label="",style="solid", color="blue", weight=3];
13.12/5.01	791[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];133 -> 791[label="",style="solid", color="blue", weight=9];
13.12/5.01	791 -> 181[label="",style="solid", color="blue", weight=3];
13.12/5.01	792[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];133 -> 792[label="",style="solid", color="blue", weight=9];
13.12/5.01	792 -> 182[label="",style="solid", color="blue", weight=3];
13.12/5.01	793[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];133 -> 793[label="",style="solid", color="blue", weight=9];
13.12/5.01	793 -> 183[label="",style="solid", color="blue", weight=3];
13.12/5.01	794[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];133 -> 794[label="",style="solid", color="blue", weight=9];
13.12/5.01	794 -> 184[label="",style="solid", color="blue", weight=3];
13.12/5.01	795[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];133 -> 795[label="",style="solid", color="blue", weight=9];
13.12/5.01	795 -> 185[label="",style="solid", color="blue", weight=3];
13.12/5.01	796[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];133 -> 796[label="",style="solid", color="blue", weight=9];
13.12/5.01	796 -> 186[label="",style="solid", color="blue", weight=3];
13.12/5.01	797[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];133 -> 797[label="",style="solid", color="blue", weight=9];
13.12/5.01	797 -> 187[label="",style="solid", color="blue", weight=3];
13.12/5.01	798[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];133 -> 798[label="",style="solid", color="blue", weight=9];
13.12/5.01	798 -> 188[label="",style="solid", color="blue", weight=3];
13.12/5.01	799[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];133 -> 799[label="",style="solid", color="blue", weight=9];
13.12/5.01	799 -> 189[label="",style="solid", color="blue", weight=3];
13.12/5.01	134[label="False",fontsize=16,color="green",shape="box"];135[label="False",fontsize=16,color="green",shape="box"];136[label="yu300 == yu40000",fontsize=16,color="blue",shape="box"];800[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];136 -> 800[label="",style="solid", color="blue", weight=9];
13.12/5.01	800 -> 190[label="",style="solid", color="blue", weight=3];
13.12/5.01	801[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];136 -> 801[label="",style="solid", color="blue", weight=9];
13.12/5.01	801 -> 191[label="",style="solid", color="blue", weight=3];
13.12/5.01	802[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];136 -> 802[label="",style="solid", color="blue", weight=9];
13.12/5.01	802 -> 192[label="",style="solid", color="blue", weight=3];
13.12/5.01	803[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];136 -> 803[label="",style="solid", color="blue", weight=9];
13.12/5.01	803 -> 193[label="",style="solid", color="blue", weight=3];
13.12/5.01	804[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];136 -> 804[label="",style="solid", color="blue", weight=9];
13.12/5.01	804 -> 194[label="",style="solid", color="blue", weight=3];
13.12/5.01	805[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];136 -> 805[label="",style="solid", color="blue", weight=9];
13.12/5.01	805 -> 195[label="",style="solid", color="blue", weight=3];
13.12/5.01	806[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];136 -> 806[label="",style="solid", color="blue", weight=9];
13.12/5.01	806 -> 196[label="",style="solid", color="blue", weight=3];
13.12/5.01	807[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];136 -> 807[label="",style="solid", color="blue", weight=9];
13.12/5.01	807 -> 197[label="",style="solid", color="blue", weight=3];
13.12/5.01	808[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];136 -> 808[label="",style="solid", color="blue", weight=9];
13.12/5.01	808 -> 198[label="",style="solid", color="blue", weight=3];
13.12/5.01	809[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];136 -> 809[label="",style="solid", color="blue", weight=9];
13.12/5.01	809 -> 199[label="",style="solid", color="blue", weight=3];
13.12/5.01	810[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];136 -> 810[label="",style="solid", color="blue", weight=9];
13.12/5.01	810 -> 200[label="",style="solid", color="blue", weight=3];
13.12/5.01	811[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];136 -> 811[label="",style="solid", color="blue", weight=9];
13.12/5.01	811 -> 201[label="",style="solid", color="blue", weight=3];
13.12/5.01	812[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];136 -> 812[label="",style="solid", color="blue", weight=9];
13.12/5.01	812 -> 202[label="",style="solid", color="blue", weight=3];
13.12/5.01	813[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];136 -> 813[label="",style="solid", color="blue", weight=9];
13.12/5.01	813 -> 203[label="",style="solid", color="blue", weight=3];
13.12/5.01	137 -> 231[label="",style="dashed", color="red", weight=0];
13.12/5.01	137[label="yu300 == yu40000 && yu301 == yu40001",fontsize=16,color="magenta"];137 -> 238[label="",style="dashed", color="magenta", weight=3];
13.12/5.01	137 -> 239[label="",style="dashed", color="magenta", weight=3];
13.12/5.01	138[label="False",fontsize=16,color="green",shape="box"];139[label="False",fontsize=16,color="green",shape="box"];140[label="True",fontsize=16,color="green",shape="box"];141[label="primEqChar (Char yu300) (Char yu40000)",fontsize=16,color="black",shape="box"];141 -> 204[label="",style="solid", color="black", weight=3];
13.12/5.01	142[label="primEqInt (Pos (Succ yu3000)) yu4000",fontsize=16,color="burlywood",shape="box"];814[label="yu4000/Pos yu40000",fontsize=10,color="white",style="solid",shape="box"];142 -> 814[label="",style="solid", color="burlywood", weight=9];
13.12/5.01	814 -> 205[label="",style="solid", color="burlywood", weight=3];
13.12/5.01	815[label="yu4000/Neg yu40000",fontsize=10,color="white",style="solid",shape="box"];142 -> 815[label="",style="solid", color="burlywood", weight=9];
13.12/5.01	815 -> 206[label="",style="solid", color="burlywood", weight=3];
13.12/5.01	143[label="primEqInt (Pos Zero) yu4000",fontsize=16,color="burlywood",shape="box"];816[label="yu4000/Pos yu40000",fontsize=10,color="white",style="solid",shape="box"];143 -> 816[label="",style="solid", color="burlywood", weight=9];
13.12/5.01	816 -> 207[label="",style="solid", color="burlywood", weight=3];
13.12/5.01	817[label="yu4000/Neg yu40000",fontsize=10,color="white",style="solid",shape="box"];143 -> 817[label="",style="solid", color="burlywood", weight=9];
13.12/5.01	817 -> 208[label="",style="solid", color="burlywood", weight=3];
13.12/5.01	144[label="primEqInt (Neg (Succ yu3000)) yu4000",fontsize=16,color="burlywood",shape="box"];818[label="yu4000/Pos yu40000",fontsize=10,color="white",style="solid",shape="box"];144 -> 818[label="",style="solid", color="burlywood", weight=9];
13.12/5.01	818 -> 209[label="",style="solid", color="burlywood", weight=3];
13.12/5.01	819[label="yu4000/Neg yu40000",fontsize=10,color="white",style="solid",shape="box"];144 -> 819[label="",style="solid", color="burlywood", weight=9];
13.12/5.01	819 -> 210[label="",style="solid", color="burlywood", weight=3];
13.12/5.01	145[label="primEqInt (Neg Zero) yu4000",fontsize=16,color="burlywood",shape="box"];820[label="yu4000/Pos yu40000",fontsize=10,color="white",style="solid",shape="box"];145 -> 820[label="",style="solid", color="burlywood", weight=9];
13.12/5.01	820 -> 211[label="",style="solid", color="burlywood", weight=3];
13.12/5.01	821[label="yu4000/Neg yu40000",fontsize=10,color="white",style="solid",shape="box"];145 -> 821[label="",style="solid", color="burlywood", weight=9];
13.12/5.01	821 -> 212[label="",style="solid", color="burlywood", weight=3];
13.12/5.01	146[label="True",fontsize=16,color="green",shape="box"];147[label="False",fontsize=16,color="green",shape="box"];148[label="False",fontsize=16,color="green",shape="box"];149[label="yu300 == yu40000",fontsize=16,color="blue",shape="box"];822[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];149 -> 822[label="",style="solid", color="blue", weight=9];
13.12/5.01	822 -> 213[label="",style="solid", color="blue", weight=3];
13.12/5.01	823[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];149 -> 823[label="",style="solid", color="blue", weight=9];
13.12/5.01	823 -> 214[label="",style="solid", color="blue", weight=3];
13.12/5.01	824[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];149 -> 824[label="",style="solid", color="blue", weight=9];
13.12/5.01	824 -> 215[label="",style="solid", color="blue", weight=3];
13.12/5.01	825[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];149 -> 825[label="",style="solid", color="blue", weight=9];
13.12/5.01	825 -> 216[label="",style="solid", color="blue", weight=3];
13.12/5.01	826[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];149 -> 826[label="",style="solid", color="blue", weight=9];
13.12/5.01	826 -> 217[label="",style="solid", color="blue", weight=3];
13.12/5.01	827[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];149 -> 827[label="",style="solid", color="blue", weight=9];
13.12/5.01	827 -> 218[label="",style="solid", color="blue", weight=3];
13.12/5.01	828[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];149 -> 828[label="",style="solid", color="blue", weight=9];
13.12/5.01	828 -> 219[label="",style="solid", color="blue", weight=3];
13.12/5.01	829[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];149 -> 829[label="",style="solid", color="blue", weight=9];
13.12/5.01	829 -> 220[label="",style="solid", color="blue", weight=3];
13.12/5.01	830[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];149 -> 830[label="",style="solid", color="blue", weight=9];
13.12/5.01	830 -> 221[label="",style="solid", color="blue", weight=3];
13.12/5.01	831[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];149 -> 831[label="",style="solid", color="blue", weight=9];
13.12/5.01	831 -> 222[label="",style="solid", color="blue", weight=3];
13.12/5.01	832[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];149 -> 832[label="",style="solid", color="blue", weight=9];
13.12/5.01	832 -> 223[label="",style="solid", color="blue", weight=3];
13.12/5.01	833[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];149 -> 833[label="",style="solid", color="blue", weight=9];
13.12/5.01	833 -> 224[label="",style="solid", color="blue", weight=3];
13.12/5.01	834[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];149 -> 834[label="",style="solid", color="blue", weight=9];
13.12/5.01	834 -> 225[label="",style="solid", color="blue", weight=3];
13.12/5.01	835[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];149 -> 835[label="",style="solid", color="blue", weight=9];
13.12/5.01	835 -> 226[label="",style="solid", color="blue", weight=3];
13.12/5.01	150 -> 4[label="",style="dashed", color="red", weight=0];
13.12/5.01	150[label="lookup (Just yu11) yu14",fontsize=16,color="magenta"];150 -> 227[label="",style="dashed", color="magenta", weight=3];
13.12/5.01	150 -> 228[label="",style="dashed", color="magenta", weight=3];
13.12/5.01	232[label="yu300 == yu40000",fontsize=16,color="blue",shape="box"];836[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];232 -> 836[label="",style="solid", color="blue", weight=9];
13.12/5.01	836 -> 244[label="",style="solid", color="blue", weight=3];
13.12/5.01	837[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];232 -> 837[label="",style="solid", color="blue", weight=9];
13.12/5.01	837 -> 245[label="",style="solid", color="blue", weight=3];
13.12/5.01	233[label="yu301 == yu40001",fontsize=16,color="blue",shape="box"];838[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];233 -> 838[label="",style="solid", color="blue", weight=9];
13.12/5.01	838 -> 246[label="",style="solid", color="blue", weight=3];
13.12/5.01	839[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];233 -> 839[label="",style="solid", color="blue", weight=9];
13.12/5.01	839 -> 247[label="",style="solid", color="blue", weight=3];
13.12/5.01	231[label="yu27 && yu28",fontsize=16,color="burlywood",shape="triangle"];840[label="yu27/False",fontsize=10,color="white",style="solid",shape="box"];231 -> 840[label="",style="solid", color="burlywood", weight=9];
13.12/5.01	840 -> 248[label="",style="solid", color="burlywood", weight=3];
13.12/5.01	841[label="yu27/True",fontsize=10,color="white",style="solid",shape="box"];231 -> 841[label="",style="solid", color="burlywood", weight=9];
13.12/5.01	841 -> 249[label="",style="solid", color="burlywood", weight=3];
13.12/5.01	161 -> 45[label="",style="dashed", color="red", weight=0];
13.12/5.01	161[label="yu300 * yu40001 == yu301 * yu40000",fontsize=16,color="magenta"];161 -> 250[label="",style="dashed", color="magenta", weight=3];
13.12/5.01	161 -> 251[label="",style="dashed", color="magenta", weight=3];
13.12/5.01	234[label="yu300 == yu40000",fontsize=16,color="blue",shape="box"];842[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];234 -> 842[label="",style="solid", color="blue", weight=9];
13.12/5.01	842 -> 252[label="",style="solid", color="blue", weight=3];
13.12/5.01	843[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];234 -> 843[label="",style="solid", color="blue", weight=9];
13.12/5.01	843 -> 253[label="",style="solid", color="blue", weight=3];
13.12/5.01	844[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];234 -> 844[label="",style="solid", color="blue", weight=9];
13.12/5.01	844 -> 254[label="",style="solid", color="blue", weight=3];
13.12/5.01	845[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];234 -> 845[label="",style="solid", color="blue", weight=9];
13.12/5.01	845 -> 255[label="",style="solid", color="blue", weight=3];
13.12/5.01	846[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];234 -> 846[label="",style="solid", color="blue", weight=9];
13.12/5.01	846 -> 256[label="",style="solid", color="blue", weight=3];
13.12/5.01	847[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];234 -> 847[label="",style="solid", color="blue", weight=9];
13.12/5.01	847 -> 257[label="",style="solid", color="blue", weight=3];
13.12/5.01	848[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];234 -> 848[label="",style="solid", color="blue", weight=9];
13.12/5.01	848 -> 258[label="",style="solid", color="blue", weight=3];
13.12/5.01	849[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];234 -> 849[label="",style="solid", color="blue", weight=9];
13.12/5.01	849 -> 259[label="",style="solid", color="blue", weight=3];
13.12/5.01	850[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];234 -> 850[label="",style="solid", color="blue", weight=9];
13.12/5.01	850 -> 260[label="",style="solid", color="blue", weight=3];
13.12/5.01	851[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];234 -> 851[label="",style="solid", color="blue", weight=9];
13.12/5.01	851 -> 261[label="",style="solid", color="blue", weight=3];
13.12/5.01	852[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];234 -> 852[label="",style="solid", color="blue", weight=9];
13.12/5.01	852 -> 262[label="",style="solid", color="blue", weight=3];
13.12/5.01	853[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];234 -> 853[label="",style="solid", color="blue", weight=9];
13.12/5.01	853 -> 263[label="",style="solid", color="blue", weight=3];
13.12/5.01	854[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];234 -> 854[label="",style="solid", color="blue", weight=9];
13.12/5.01	854 -> 264[label="",style="solid", color="blue", weight=3];
13.12/5.01	855[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];234 -> 855[label="",style="solid", color="blue", weight=9];
13.12/5.01	855 -> 265[label="",style="solid", color="blue", weight=3];
13.12/5.01	235 -> 231[label="",style="dashed", color="red", weight=0];
13.12/5.01	235[label="yu301 == yu40001 && yu302 == yu40002",fontsize=16,color="magenta"];235 -> 266[label="",style="dashed", color="magenta", weight=3];
13.12/5.01	235 -> 267[label="",style="dashed", color="magenta", weight=3];
13.12/5.01	236[label="yu300 == yu40000",fontsize=16,color="blue",shape="box"];856[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];236 -> 856[label="",style="solid", color="blue", weight=9];
13.12/5.01	856 -> 268[label="",style="solid", color="blue", weight=3];
13.12/5.01	857[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];236 -> 857[label="",style="solid", color="blue", weight=9];
13.12/5.01	857 -> 269[label="",style="solid", color="blue", weight=3];
13.12/5.01	858[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];236 -> 858[label="",style="solid", color="blue", weight=9];
13.12/5.01	858 -> 270[label="",style="solid", color="blue", weight=3];
13.12/5.01	859[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];236 -> 859[label="",style="solid", color="blue", weight=9];
13.12/5.01	859 -> 271[label="",style="solid", color="blue", weight=3];
13.12/5.01	860[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];236 -> 860[label="",style="solid", color="blue", weight=9];
13.12/5.01	860 -> 272[label="",style="solid", color="blue", weight=3];
13.12/5.01	861[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];236 -> 861[label="",style="solid", color="blue", weight=9];
13.12/5.01	861 -> 273[label="",style="solid", color="blue", weight=3];
13.12/5.01	862[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];236 -> 862[label="",style="solid", color="blue", weight=9];
13.12/5.01	862 -> 274[label="",style="solid", color="blue", weight=3];
13.12/5.01	863[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];236 -> 863[label="",style="solid", color="blue", weight=9];
13.12/5.01	863 -> 275[label="",style="solid", color="blue", weight=3];
13.12/5.01	864[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];236 -> 864[label="",style="solid", color="blue", weight=9];
13.12/5.01	864 -> 276[label="",style="solid", color="blue", weight=3];
13.12/5.01	865[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];236 -> 865[label="",style="solid", color="blue", weight=9];
13.12/5.01	865 -> 277[label="",style="solid", color="blue", weight=3];
13.12/5.01	866[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];236 -> 866[label="",style="solid", color="blue", weight=9];
13.12/5.01	866 -> 278[label="",style="solid", color="blue", weight=3];
13.12/5.01	867[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];236 -> 867[label="",style="solid", color="blue", weight=9];
13.12/5.01	867 -> 279[label="",style="solid", color="blue", weight=3];
13.12/5.01	868[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];236 -> 868[label="",style="solid", color="blue", weight=9];
13.12/5.01	868 -> 280[label="",style="solid", color="blue", weight=3];
13.12/5.01	869[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];236 -> 869[label="",style="solid", color="blue", weight=9];
13.12/5.01	869 -> 281[label="",style="solid", color="blue", weight=3];
13.12/5.01	237[label="yu301 == yu40001",fontsize=16,color="blue",shape="box"];870[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];237 -> 870[label="",style="solid", color="blue", weight=9];
13.12/5.01	870 -> 282[label="",style="solid", color="blue", weight=3];
13.12/5.01	871[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];237 -> 871[label="",style="solid", color="blue", weight=9];
13.12/5.01	871 -> 283[label="",style="solid", color="blue", weight=3];
13.12/5.01	872[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];237 -> 872[label="",style="solid", color="blue", weight=9];
13.12/5.01	872 -> 284[label="",style="solid", color="blue", weight=3];
13.12/5.01	873[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];237 -> 873[label="",style="solid", color="blue", weight=9];
13.12/5.01	873 -> 285[label="",style="solid", color="blue", weight=3];
13.12/5.01	874[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];237 -> 874[label="",style="solid", color="blue", weight=9];
13.12/5.01	874 -> 286[label="",style="solid", color="blue", weight=3];
13.12/5.01	875[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];237 -> 875[label="",style="solid", color="blue", weight=9];
13.12/5.01	875 -> 287[label="",style="solid", color="blue", weight=3];
13.12/5.01	876[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];237 -> 876[label="",style="solid", color="blue", weight=9];
13.12/5.01	876 -> 288[label="",style="solid", color="blue", weight=3];
13.12/5.01	877[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];237 -> 877[label="",style="solid", color="blue", weight=9];
13.12/5.01	877 -> 289[label="",style="solid", color="blue", weight=3];
13.12/5.01	878[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];237 -> 878[label="",style="solid", color="blue", weight=9];
13.12/5.01	878 -> 290[label="",style="solid", color="blue", weight=3];
13.12/5.01	879[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];237 -> 879[label="",style="solid", color="blue", weight=9];
13.12/5.01	879 -> 291[label="",style="solid", color="blue", weight=3];
13.12/5.01	880[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];237 -> 880[label="",style="solid", color="blue", weight=9];
13.12/5.01	880 -> 292[label="",style="solid", color="blue", weight=3];
13.12/5.01	881[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];237 -> 881[label="",style="solid", color="blue", weight=9];
13.12/5.01	881 -> 293[label="",style="solid", color="blue", weight=3];
13.12/5.01	882[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];237 -> 882[label="",style="solid", color="blue", weight=9];
13.12/5.01	882 -> 294[label="",style="solid", color="blue", weight=3];
13.12/5.01	883[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];237 -> 883[label="",style="solid", color="blue", weight=9];
13.12/5.01	883 -> 295[label="",style="solid", color="blue", weight=3];
13.12/5.01	173 -> 45[label="",style="dashed", color="red", weight=0];
13.12/5.01	173[label="yu300 * yu40001 == yu301 * yu40000",fontsize=16,color="magenta"];173 -> 296[label="",style="dashed", color="magenta", weight=3];
13.12/5.01	173 -> 297[label="",style="dashed", color="magenta", weight=3];
13.12/5.01	174[label="yu300",fontsize=16,color="green",shape="box"];175[label="yu40000",fontsize=16,color="green",shape="box"];176 -> 33[label="",style="dashed", color="red", weight=0];
13.12/5.01	176[label="yu300 == yu40000",fontsize=16,color="magenta"];176 -> 298[label="",style="dashed", color="magenta", weight=3];
13.12/5.01	176 -> 299[label="",style="dashed", color="magenta", weight=3];
13.12/5.01	177 -> 34[label="",style="dashed", color="red", weight=0];
13.12/5.01	177[label="yu300 == yu40000",fontsize=16,color="magenta"];177 -> 300[label="",style="dashed", color="magenta", weight=3];
13.12/5.01	177 -> 301[label="",style="dashed", color="magenta", weight=3];
13.12/5.01	178 -> 35[label="",style="dashed", color="red", weight=0];
13.12/5.01	178[label="yu300 == yu40000",fontsize=16,color="magenta"];178 -> 302[label="",style="dashed", color="magenta", weight=3];
13.12/5.01	178 -> 303[label="",style="dashed", color="magenta", weight=3];
13.12/5.01	179 -> 36[label="",style="dashed", color="red", weight=0];
13.12/5.01	179[label="yu300 == yu40000",fontsize=16,color="magenta"];179 -> 304[label="",style="dashed", color="magenta", weight=3];
13.12/5.01	179 -> 305[label="",style="dashed", color="magenta", weight=3];
13.12/5.01	180 -> 37[label="",style="dashed", color="red", weight=0];
13.12/5.01	180[label="yu300 == yu40000",fontsize=16,color="magenta"];180 -> 306[label="",style="dashed", color="magenta", weight=3];
13.12/5.01	180 -> 307[label="",style="dashed", color="magenta", weight=3];
13.12/5.01	181 -> 38[label="",style="dashed", color="red", weight=0];
13.12/5.01	181[label="yu300 == yu40000",fontsize=16,color="magenta"];181 -> 308[label="",style="dashed", color="magenta", weight=3];
13.12/5.01	181 -> 309[label="",style="dashed", color="magenta", weight=3];
13.12/5.01	182 -> 39[label="",style="dashed", color="red", weight=0];
13.12/5.01	182[label="yu300 == yu40000",fontsize=16,color="magenta"];182 -> 310[label="",style="dashed", color="magenta", weight=3];
13.12/5.01	182 -> 311[label="",style="dashed", color="magenta", weight=3];
13.12/5.01	183 -> 40[label="",style="dashed", color="red", weight=0];
13.12/5.01	183[label="yu300 == yu40000",fontsize=16,color="magenta"];183 -> 312[label="",style="dashed", color="magenta", weight=3];
13.12/5.01	183 -> 313[label="",style="dashed", color="magenta", weight=3];
13.12/5.01	184 -> 41[label="",style="dashed", color="red", weight=0];
13.12/5.01	184[label="yu300 == yu40000",fontsize=16,color="magenta"];184 -> 314[label="",style="dashed", color="magenta", weight=3];
13.12/5.01	184 -> 315[label="",style="dashed", color="magenta", weight=3];
13.12/5.01	185 -> 42[label="",style="dashed", color="red", weight=0];
13.12/5.01	185[label="yu300 == yu40000",fontsize=16,color="magenta"];185 -> 316[label="",style="dashed", color="magenta", weight=3];
13.12/5.01	185 -> 317[label="",style="dashed", color="magenta", weight=3];
13.12/5.01	186 -> 43[label="",style="dashed", color="red", weight=0];
13.12/5.01	186[label="yu300 == yu40000",fontsize=16,color="magenta"];186 -> 318[label="",style="dashed", color="magenta", weight=3];
13.12/5.01	186 -> 319[label="",style="dashed", color="magenta", weight=3];
13.12/5.01	187 -> 44[label="",style="dashed", color="red", weight=0];
13.12/5.01	187[label="yu300 == yu40000",fontsize=16,color="magenta"];187 -> 320[label="",style="dashed", color="magenta", weight=3];
13.12/5.01	187 -> 321[label="",style="dashed", color="magenta", weight=3];
13.12/5.01	188 -> 45[label="",style="dashed", color="red", weight=0];
13.12/5.01	188[label="yu300 == yu40000",fontsize=16,color="magenta"];188 -> 322[label="",style="dashed", color="magenta", weight=3];
13.12/5.01	188 -> 323[label="",style="dashed", color="magenta", weight=3];
13.12/5.01	189 -> 46[label="",style="dashed", color="red", weight=0];
13.12/5.01	189[label="yu300 == yu40000",fontsize=16,color="magenta"];189 -> 324[label="",style="dashed", color="magenta", weight=3];
13.12/5.01	189 -> 325[label="",style="dashed", color="magenta", weight=3];
13.12/5.01	190 -> 33[label="",style="dashed", color="red", weight=0];
13.12/5.01	190[label="yu300 == yu40000",fontsize=16,color="magenta"];190 -> 326[label="",style="dashed", color="magenta", weight=3];
13.12/5.01	190 -> 327[label="",style="dashed", color="magenta", weight=3];
13.12/5.01	191 -> 34[label="",style="dashed", color="red", weight=0];
13.12/5.01	191[label="yu300 == yu40000",fontsize=16,color="magenta"];191 -> 328[label="",style="dashed", color="magenta", weight=3];
13.12/5.01	191 -> 329[label="",style="dashed", color="magenta", weight=3];
13.12/5.01	192 -> 35[label="",style="dashed", color="red", weight=0];
13.12/5.01	192[label="yu300 == yu40000",fontsize=16,color="magenta"];192 -> 330[label="",style="dashed", color="magenta", weight=3];
13.12/5.01	192 -> 331[label="",style="dashed", color="magenta", weight=3];
13.12/5.01	193 -> 36[label="",style="dashed", color="red", weight=0];
13.12/5.01	193[label="yu300 == yu40000",fontsize=16,color="magenta"];193 -> 332[label="",style="dashed", color="magenta", weight=3];
13.12/5.01	193 -> 333[label="",style="dashed", color="magenta", weight=3];
13.12/5.01	194 -> 37[label="",style="dashed", color="red", weight=0];
13.12/5.01	194[label="yu300 == yu40000",fontsize=16,color="magenta"];194 -> 334[label="",style="dashed", color="magenta", weight=3];
13.12/5.01	194 -> 335[label="",style="dashed", color="magenta", weight=3];
13.12/5.01	195 -> 38[label="",style="dashed", color="red", weight=0];
13.12/5.01	195[label="yu300 == yu40000",fontsize=16,color="magenta"];195 -> 336[label="",style="dashed", color="magenta", weight=3];
13.22/5.01	195 -> 337[label="",style="dashed", color="magenta", weight=3];
13.22/5.01	196 -> 39[label="",style="dashed", color="red", weight=0];
13.22/5.01	196[label="yu300 == yu40000",fontsize=16,color="magenta"];196 -> 338[label="",style="dashed", color="magenta", weight=3];
13.22/5.01	196 -> 339[label="",style="dashed", color="magenta", weight=3];
13.22/5.01	197 -> 40[label="",style="dashed", color="red", weight=0];
13.22/5.01	197[label="yu300 == yu40000",fontsize=16,color="magenta"];197 -> 340[label="",style="dashed", color="magenta", weight=3];
13.22/5.01	197 -> 341[label="",style="dashed", color="magenta", weight=3];
13.22/5.01	198 -> 41[label="",style="dashed", color="red", weight=0];
13.22/5.01	198[label="yu300 == yu40000",fontsize=16,color="magenta"];198 -> 342[label="",style="dashed", color="magenta", weight=3];
13.22/5.01	198 -> 343[label="",style="dashed", color="magenta", weight=3];
13.22/5.01	199 -> 42[label="",style="dashed", color="red", weight=0];
13.22/5.01	199[label="yu300 == yu40000",fontsize=16,color="magenta"];199 -> 344[label="",style="dashed", color="magenta", weight=3];
13.22/5.01	199 -> 345[label="",style="dashed", color="magenta", weight=3];
13.22/5.01	200 -> 43[label="",style="dashed", color="red", weight=0];
13.22/5.01	200[label="yu300 == yu40000",fontsize=16,color="magenta"];200 -> 346[label="",style="dashed", color="magenta", weight=3];
13.22/5.01	200 -> 347[label="",style="dashed", color="magenta", weight=3];
13.22/5.01	201 -> 44[label="",style="dashed", color="red", weight=0];
13.22/5.01	201[label="yu300 == yu40000",fontsize=16,color="magenta"];201 -> 348[label="",style="dashed", color="magenta", weight=3];
13.22/5.01	201 -> 349[label="",style="dashed", color="magenta", weight=3];
13.22/5.01	202 -> 45[label="",style="dashed", color="red", weight=0];
13.22/5.01	202[label="yu300 == yu40000",fontsize=16,color="magenta"];202 -> 350[label="",style="dashed", color="magenta", weight=3];
13.22/5.01	202 -> 351[label="",style="dashed", color="magenta", weight=3];
13.22/5.01	203 -> 46[label="",style="dashed", color="red", weight=0];
13.22/5.01	203[label="yu300 == yu40000",fontsize=16,color="magenta"];203 -> 352[label="",style="dashed", color="magenta", weight=3];
13.22/5.01	203 -> 353[label="",style="dashed", color="magenta", weight=3];
13.22/5.01	238[label="yu300 == yu40000",fontsize=16,color="blue",shape="box"];884[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];238 -> 884[label="",style="solid", color="blue", weight=9];
13.22/5.01	884 -> 354[label="",style="solid", color="blue", weight=3];
13.22/5.01	885[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];238 -> 885[label="",style="solid", color="blue", weight=9];
13.22/5.01	885 -> 355[label="",style="solid", color="blue", weight=3];
13.22/5.01	886[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];238 -> 886[label="",style="solid", color="blue", weight=9];
13.22/5.01	886 -> 356[label="",style="solid", color="blue", weight=3];
13.22/5.01	887[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];238 -> 887[label="",style="solid", color="blue", weight=9];
13.22/5.01	887 -> 357[label="",style="solid", color="blue", weight=3];
13.22/5.01	888[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];238 -> 888[label="",style="solid", color="blue", weight=9];
13.22/5.01	888 -> 358[label="",style="solid", color="blue", weight=3];
13.22/5.01	889[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];238 -> 889[label="",style="solid", color="blue", weight=9];
13.22/5.01	889 -> 359[label="",style="solid", color="blue", weight=3];
13.22/5.01	890[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];238 -> 890[label="",style="solid", color="blue", weight=9];
13.22/5.01	890 -> 360[label="",style="solid", color="blue", weight=3];
13.22/5.01	891[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];238 -> 891[label="",style="solid", color="blue", weight=9];
13.22/5.01	891 -> 361[label="",style="solid", color="blue", weight=3];
13.22/5.01	892[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];238 -> 892[label="",style="solid", color="blue", weight=9];
13.22/5.01	892 -> 362[label="",style="solid", color="blue", weight=3];
13.22/5.01	893[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];238 -> 893[label="",style="solid", color="blue", weight=9];
13.22/5.01	893 -> 363[label="",style="solid", color="blue", weight=3];
13.22/5.01	894[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];238 -> 894[label="",style="solid", color="blue", weight=9];
13.22/5.01	894 -> 364[label="",style="solid", color="blue", weight=3];
13.22/5.01	895[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];238 -> 895[label="",style="solid", color="blue", weight=9];
13.22/5.01	895 -> 365[label="",style="solid", color="blue", weight=3];
13.22/5.01	896[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];238 -> 896[label="",style="solid", color="blue", weight=9];
13.22/5.01	896 -> 366[label="",style="solid", color="blue", weight=3];
13.22/5.01	897[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];238 -> 897[label="",style="solid", color="blue", weight=9];
13.22/5.01	897 -> 367[label="",style="solid", color="blue", weight=3];
13.22/5.01	239 -> 43[label="",style="dashed", color="red", weight=0];
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13.22/5.01	239 -> 369[label="",style="dashed", color="magenta", weight=3];
13.22/5.01	204[label="primEqNat yu300 yu40000",fontsize=16,color="burlywood",shape="triangle"];898[label="yu300/Succ yu3000",fontsize=10,color="white",style="solid",shape="box"];204 -> 898[label="",style="solid", color="burlywood", weight=9];
13.22/5.01	898 -> 370[label="",style="solid", color="burlywood", weight=3];
13.22/5.01	899[label="yu300/Zero",fontsize=10,color="white",style="solid",shape="box"];204 -> 899[label="",style="solid", color="burlywood", weight=9];
13.22/5.01	899 -> 371[label="",style="solid", color="burlywood", weight=3];
13.22/5.01	205[label="primEqInt (Pos (Succ yu3000)) (Pos yu40000)",fontsize=16,color="burlywood",shape="box"];900[label="yu40000/Succ yu400000",fontsize=10,color="white",style="solid",shape="box"];205 -> 900[label="",style="solid", color="burlywood", weight=9];
13.22/5.01	900 -> 372[label="",style="solid", color="burlywood", weight=3];
13.22/5.01	901[label="yu40000/Zero",fontsize=10,color="white",style="solid",shape="box"];205 -> 901[label="",style="solid", color="burlywood", weight=9];
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13.22/5.01	206[label="primEqInt (Pos (Succ yu3000)) (Neg yu40000)",fontsize=16,color="black",shape="box"];206 -> 374[label="",style="solid", color="black", weight=3];
13.22/5.01	207[label="primEqInt (Pos Zero) (Pos yu40000)",fontsize=16,color="burlywood",shape="box"];902[label="yu40000/Succ yu400000",fontsize=10,color="white",style="solid",shape="box"];207 -> 902[label="",style="solid", color="burlywood", weight=9];
13.22/5.01	902 -> 375[label="",style="solid", color="burlywood", weight=3];
13.22/5.01	903[label="yu40000/Zero",fontsize=10,color="white",style="solid",shape="box"];207 -> 903[label="",style="solid", color="burlywood", weight=9];
13.22/5.01	903 -> 376[label="",style="solid", color="burlywood", weight=3];
13.22/5.01	208[label="primEqInt (Pos Zero) (Neg yu40000)",fontsize=16,color="burlywood",shape="box"];904[label="yu40000/Succ yu400000",fontsize=10,color="white",style="solid",shape="box"];208 -> 904[label="",style="solid", color="burlywood", weight=9];
13.22/5.01	904 -> 377[label="",style="solid", color="burlywood", weight=3];
13.22/5.01	905[label="yu40000/Zero",fontsize=10,color="white",style="solid",shape="box"];208 -> 905[label="",style="solid", color="burlywood", weight=9];
13.22/5.01	905 -> 378[label="",style="solid", color="burlywood", weight=3];
13.22/5.01	209[label="primEqInt (Neg (Succ yu3000)) (Pos yu40000)",fontsize=16,color="black",shape="box"];209 -> 379[label="",style="solid", color="black", weight=3];
13.22/5.01	210[label="primEqInt (Neg (Succ yu3000)) (Neg yu40000)",fontsize=16,color="burlywood",shape="box"];906[label="yu40000/Succ yu400000",fontsize=10,color="white",style="solid",shape="box"];210 -> 906[label="",style="solid", color="burlywood", weight=9];
13.22/5.01	906 -> 380[label="",style="solid", color="burlywood", weight=3];
13.22/5.01	907[label="yu40000/Zero",fontsize=10,color="white",style="solid",shape="box"];210 -> 907[label="",style="solid", color="burlywood", weight=9];
13.22/5.01	907 -> 381[label="",style="solid", color="burlywood", weight=3];
13.22/5.01	211[label="primEqInt (Neg Zero) (Pos yu40000)",fontsize=16,color="burlywood",shape="box"];908[label="yu40000/Succ yu400000",fontsize=10,color="white",style="solid",shape="box"];211 -> 908[label="",style="solid", color="burlywood", weight=9];
13.22/5.01	908 -> 382[label="",style="solid", color="burlywood", weight=3];
13.22/5.01	909[label="yu40000/Zero",fontsize=10,color="white",style="solid",shape="box"];211 -> 909[label="",style="solid", color="burlywood", weight=9];
13.22/5.01	909 -> 383[label="",style="solid", color="burlywood", weight=3];
13.22/5.01	212[label="primEqInt (Neg Zero) (Neg yu40000)",fontsize=16,color="burlywood",shape="box"];910[label="yu40000/Succ yu400000",fontsize=10,color="white",style="solid",shape="box"];212 -> 910[label="",style="solid", color="burlywood", weight=9];
13.22/5.01	910 -> 384[label="",style="solid", color="burlywood", weight=3];
13.22/5.01	911[label="yu40000/Zero",fontsize=10,color="white",style="solid",shape="box"];212 -> 911[label="",style="solid", color="burlywood", weight=9];
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13.22/5.01	213 -> 33[label="",style="dashed", color="red", weight=0];
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13.22/5.01	213 -> 387[label="",style="dashed", color="magenta", weight=3];
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13.22/5.01	217 -> 37[label="",style="dashed", color="red", weight=0];
13.22/5.01	217[label="yu300 == yu40000",fontsize=16,color="magenta"];217 -> 394[label="",style="dashed", color="magenta", weight=3];
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13.22/5.01	218 -> 38[label="",style="dashed", color="red", weight=0];
13.22/5.01	218[label="yu300 == yu40000",fontsize=16,color="magenta"];218 -> 396[label="",style="dashed", color="magenta", weight=3];
13.22/5.01	218 -> 397[label="",style="dashed", color="magenta", weight=3];
13.22/5.01	219 -> 39[label="",style="dashed", color="red", weight=0];
13.22/5.01	219[label="yu300 == yu40000",fontsize=16,color="magenta"];219 -> 398[label="",style="dashed", color="magenta", weight=3];
13.22/5.01	219 -> 399[label="",style="dashed", color="magenta", weight=3];
13.22/5.01	220 -> 40[label="",style="dashed", color="red", weight=0];
13.22/5.01	220[label="yu300 == yu40000",fontsize=16,color="magenta"];220 -> 400[label="",style="dashed", color="magenta", weight=3];
13.22/5.01	220 -> 401[label="",style="dashed", color="magenta", weight=3];
13.22/5.01	221 -> 41[label="",style="dashed", color="red", weight=0];
13.22/5.01	221[label="yu300 == yu40000",fontsize=16,color="magenta"];221 -> 402[label="",style="dashed", color="magenta", weight=3];
13.22/5.01	221 -> 403[label="",style="dashed", color="magenta", weight=3];
13.22/5.01	222 -> 42[label="",style="dashed", color="red", weight=0];
13.22/5.01	222[label="yu300 == yu40000",fontsize=16,color="magenta"];222 -> 404[label="",style="dashed", color="magenta", weight=3];
13.22/5.01	222 -> 405[label="",style="dashed", color="magenta", weight=3];
13.22/5.01	223 -> 43[label="",style="dashed", color="red", weight=0];
13.22/5.01	223[label="yu300 == yu40000",fontsize=16,color="magenta"];223 -> 406[label="",style="dashed", color="magenta", weight=3];
13.22/5.01	223 -> 407[label="",style="dashed", color="magenta", weight=3];
13.22/5.01	224 -> 44[label="",style="dashed", color="red", weight=0];
13.22/5.01	224[label="yu300 == yu40000",fontsize=16,color="magenta"];224 -> 408[label="",style="dashed", color="magenta", weight=3];
13.22/5.01	224 -> 409[label="",style="dashed", color="magenta", weight=3];
13.22/5.01	225 -> 45[label="",style="dashed", color="red", weight=0];
13.22/5.01	225[label="yu300 == yu40000",fontsize=16,color="magenta"];225 -> 410[label="",style="dashed", color="magenta", weight=3];
13.22/5.01	225 -> 411[label="",style="dashed", color="magenta", weight=3];
13.22/5.01	226 -> 46[label="",style="dashed", color="red", weight=0];
13.22/5.01	226[label="yu300 == yu40000",fontsize=16,color="magenta"];226 -> 412[label="",style="dashed", color="magenta", weight=3];
13.22/5.01	226 -> 413[label="",style="dashed", color="magenta", weight=3];
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13.22/5.01	244[label="yu300 == yu40000",fontsize=16,color="magenta"];244 -> 414[label="",style="dashed", color="magenta", weight=3];
13.22/5.01	244 -> 415[label="",style="dashed", color="magenta", weight=3];
13.22/5.01	245 -> 45[label="",style="dashed", color="red", weight=0];
13.22/5.01	245[label="yu300 == yu40000",fontsize=16,color="magenta"];245 -> 416[label="",style="dashed", color="magenta", weight=3];
13.22/5.01	245 -> 417[label="",style="dashed", color="magenta", weight=3];
13.22/5.01	246 -> 39[label="",style="dashed", color="red", weight=0];
13.22/5.01	246[label="yu301 == yu40001",fontsize=16,color="magenta"];246 -> 418[label="",style="dashed", color="magenta", weight=3];
13.22/5.01	246 -> 419[label="",style="dashed", color="magenta", weight=3];
13.22/5.01	247 -> 45[label="",style="dashed", color="red", weight=0];
13.22/5.01	247[label="yu301 == yu40001",fontsize=16,color="magenta"];247 -> 420[label="",style="dashed", color="magenta", weight=3];
13.22/5.01	247 -> 421[label="",style="dashed", color="magenta", weight=3];
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13.22/5.01	251 -> 426[label="",style="dashed", color="magenta", weight=3];
13.22/5.01	252 -> 33[label="",style="dashed", color="red", weight=0];
13.22/5.01	252[label="yu300 == yu40000",fontsize=16,color="magenta"];252 -> 427[label="",style="dashed", color="magenta", weight=3];
13.22/5.01	252 -> 428[label="",style="dashed", color="magenta", weight=3];
13.22/5.01	253 -> 34[label="",style="dashed", color="red", weight=0];
13.22/5.01	253[label="yu300 == yu40000",fontsize=16,color="magenta"];253 -> 429[label="",style="dashed", color="magenta", weight=3];
13.22/5.01	253 -> 430[label="",style="dashed", color="magenta", weight=3];
13.22/5.01	254 -> 35[label="",style="dashed", color="red", weight=0];
13.22/5.01	254[label="yu300 == yu40000",fontsize=16,color="magenta"];254 -> 431[label="",style="dashed", color="magenta", weight=3];
13.22/5.01	254 -> 432[label="",style="dashed", color="magenta", weight=3];
13.22/5.01	255 -> 36[label="",style="dashed", color="red", weight=0];
13.22/5.01	255[label="yu300 == yu40000",fontsize=16,color="magenta"];255 -> 433[label="",style="dashed", color="magenta", weight=3];
13.22/5.01	255 -> 434[label="",style="dashed", color="magenta", weight=3];
13.22/5.01	256 -> 37[label="",style="dashed", color="red", weight=0];
13.22/5.01	256[label="yu300 == yu40000",fontsize=16,color="magenta"];256 -> 435[label="",style="dashed", color="magenta", weight=3];
13.22/5.01	256 -> 436[label="",style="dashed", color="magenta", weight=3];
13.22/5.01	257 -> 38[label="",style="dashed", color="red", weight=0];
13.22/5.01	257[label="yu300 == yu40000",fontsize=16,color="magenta"];257 -> 437[label="",style="dashed", color="magenta", weight=3];
13.22/5.01	257 -> 438[label="",style="dashed", color="magenta", weight=3];
13.22/5.01	258 -> 39[label="",style="dashed", color="red", weight=0];
13.22/5.01	258[label="yu300 == yu40000",fontsize=16,color="magenta"];258 -> 439[label="",style="dashed", color="magenta", weight=3];
13.22/5.01	258 -> 440[label="",style="dashed", color="magenta", weight=3];
13.22/5.01	259 -> 40[label="",style="dashed", color="red", weight=0];
13.22/5.01	259[label="yu300 == yu40000",fontsize=16,color="magenta"];259 -> 441[label="",style="dashed", color="magenta", weight=3];
13.22/5.01	259 -> 442[label="",style="dashed", color="magenta", weight=3];
13.22/5.01	260 -> 41[label="",style="dashed", color="red", weight=0];
13.22/5.01	260[label="yu300 == yu40000",fontsize=16,color="magenta"];260 -> 443[label="",style="dashed", color="magenta", weight=3];
13.22/5.01	260 -> 444[label="",style="dashed", color="magenta", weight=3];
13.22/5.01	261 -> 42[label="",style="dashed", color="red", weight=0];
13.22/5.01	261[label="yu300 == yu40000",fontsize=16,color="magenta"];261 -> 445[label="",style="dashed", color="magenta", weight=3];
13.22/5.01	261 -> 446[label="",style="dashed", color="magenta", weight=3];
13.22/5.01	262 -> 43[label="",style="dashed", color="red", weight=0];
13.22/5.01	262[label="yu300 == yu40000",fontsize=16,color="magenta"];262 -> 447[label="",style="dashed", color="magenta", weight=3];
13.22/5.01	262 -> 448[label="",style="dashed", color="magenta", weight=3];
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13.22/5.01	263 -> 450[label="",style="dashed", color="magenta", weight=3];
13.22/5.01	264 -> 45[label="",style="dashed", color="red", weight=0];
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13.22/5.01	264 -> 452[label="",style="dashed", color="magenta", weight=3];
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13.22/5.01	265[label="yu300 == yu40000",fontsize=16,color="magenta"];265 -> 453[label="",style="dashed", color="magenta", weight=3];
13.22/5.01	265 -> 454[label="",style="dashed", color="magenta", weight=3];
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13.22/5.01	912 -> 455[label="",style="solid", color="blue", weight=3];
13.22/5.01	913[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];266 -> 913[label="",style="solid", color="blue", weight=9];
13.22/5.01	913 -> 456[label="",style="solid", color="blue", weight=3];
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13.22/5.01	914 -> 457[label="",style="solid", color="blue", weight=3];
13.22/5.01	915[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];266 -> 915[label="",style="solid", color="blue", weight=9];
13.22/5.01	915 -> 458[label="",style="solid", color="blue", weight=3];
13.22/5.01	916[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];266 -> 916[label="",style="solid", color="blue", weight=9];
13.22/5.01	916 -> 459[label="",style="solid", color="blue", weight=3];
13.22/5.01	917[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];266 -> 917[label="",style="solid", color="blue", weight=9];
13.22/5.01	917 -> 460[label="",style="solid", color="blue", weight=3];
13.22/5.01	918[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];266 -> 918[label="",style="solid", color="blue", weight=9];
13.22/5.01	918 -> 461[label="",style="solid", color="blue", weight=3];
13.22/5.01	919[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];266 -> 919[label="",style="solid", color="blue", weight=9];
13.22/5.01	919 -> 462[label="",style="solid", color="blue", weight=3];
13.22/5.01	920[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];266 -> 920[label="",style="solid", color="blue", weight=9];
13.22/5.01	920 -> 463[label="",style="solid", color="blue", weight=3];
13.22/5.01	921[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];266 -> 921[label="",style="solid", color="blue", weight=9];
13.22/5.01	921 -> 464[label="",style="solid", color="blue", weight=3];
13.22/5.01	922[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];266 -> 922[label="",style="solid", color="blue", weight=9];
13.22/5.01	922 -> 465[label="",style="solid", color="blue", weight=3];
13.22/5.01	923[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];266 -> 923[label="",style="solid", color="blue", weight=9];
13.22/5.01	923 -> 466[label="",style="solid", color="blue", weight=3];
13.22/5.01	924[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];266 -> 924[label="",style="solid", color="blue", weight=9];
13.22/5.01	924 -> 467[label="",style="solid", color="blue", weight=3];
13.22/5.01	925[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];266 -> 925[label="",style="solid", color="blue", weight=9];
13.22/5.01	925 -> 468[label="",style="solid", color="blue", weight=3];
13.22/5.01	267[label="yu302 == yu40002",fontsize=16,color="blue",shape="box"];926[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];267 -> 926[label="",style="solid", color="blue", weight=9];
13.22/5.01	926 -> 469[label="",style="solid", color="blue", weight=3];
13.22/5.01	927[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];267 -> 927[label="",style="solid", color="blue", weight=9];
13.22/5.01	927 -> 470[label="",style="solid", color="blue", weight=3];
13.22/5.01	928[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];267 -> 928[label="",style="solid", color="blue", weight=9];
13.22/5.01	928 -> 471[label="",style="solid", color="blue", weight=3];
13.22/5.01	929[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];267 -> 929[label="",style="solid", color="blue", weight=9];
13.22/5.01	929 -> 472[label="",style="solid", color="blue", weight=3];
13.22/5.01	930[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];267 -> 930[label="",style="solid", color="blue", weight=9];
13.22/5.01	930 -> 473[label="",style="solid", color="blue", weight=3];
13.22/5.01	931[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];267 -> 931[label="",style="solid", color="blue", weight=9];
13.22/5.01	931 -> 474[label="",style="solid", color="blue", weight=3];
13.22/5.01	932[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];267 -> 932[label="",style="solid", color="blue", weight=9];
13.22/5.01	932 -> 475[label="",style="solid", color="blue", weight=3];
13.22/5.01	933[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];267 -> 933[label="",style="solid", color="blue", weight=9];
13.22/5.01	933 -> 476[label="",style="solid", color="blue", weight=3];
13.22/5.01	934[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];267 -> 934[label="",style="solid", color="blue", weight=9];
13.22/5.01	934 -> 477[label="",style="solid", color="blue", weight=3];
13.22/5.01	935[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];267 -> 935[label="",style="solid", color="blue", weight=9];
13.22/5.01	935 -> 478[label="",style="solid", color="blue", weight=3];
13.22/5.01	936[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];267 -> 936[label="",style="solid", color="blue", weight=9];
13.22/5.01	936 -> 479[label="",style="solid", color="blue", weight=3];
13.22/5.01	937[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];267 -> 937[label="",style="solid", color="blue", weight=9];
13.22/5.01	937 -> 480[label="",style="solid", color="blue", weight=3];
13.22/5.01	938[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];267 -> 938[label="",style="solid", color="blue", weight=9];
13.22/5.01	938 -> 481[label="",style="solid", color="blue", weight=3];
13.22/5.01	939[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];267 -> 939[label="",style="solid", color="blue", weight=9];
13.22/5.01	939 -> 482[label="",style="solid", color="blue", weight=3];
13.22/5.01	268 -> 33[label="",style="dashed", color="red", weight=0];
13.22/5.01	268[label="yu300 == yu40000",fontsize=16,color="magenta"];268 -> 483[label="",style="dashed", color="magenta", weight=3];
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13.22/5.01	271 -> 490[label="",style="dashed", color="magenta", weight=3];
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13.22/5.01	273 -> 494[label="",style="dashed", color="magenta", weight=3];
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13.22/5.01	274[label="yu300 == yu40000",fontsize=16,color="magenta"];274 -> 495[label="",style="dashed", color="magenta", weight=3];
13.22/5.01	274 -> 496[label="",style="dashed", color="magenta", weight=3];
13.22/5.01	275 -> 40[label="",style="dashed", color="red", weight=0];
13.22/5.01	275[label="yu300 == yu40000",fontsize=16,color="magenta"];275 -> 497[label="",style="dashed", color="magenta", weight=3];
13.22/5.01	275 -> 498[label="",style="dashed", color="magenta", weight=3];
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13.22/5.01	276 -> 500[label="",style="dashed", color="magenta", weight=3];
13.22/5.01	277 -> 42[label="",style="dashed", color="red", weight=0];
13.22/5.01	277[label="yu300 == yu40000",fontsize=16,color="magenta"];277 -> 501[label="",style="dashed", color="magenta", weight=3];
13.22/5.01	277 -> 502[label="",style="dashed", color="magenta", weight=3];
13.22/5.01	278 -> 43[label="",style="dashed", color="red", weight=0];
13.22/5.01	278[label="yu300 == yu40000",fontsize=16,color="magenta"];278 -> 503[label="",style="dashed", color="magenta", weight=3];
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13.22/5.01	280 -> 45[label="",style="dashed", color="red", weight=0];
13.22/5.01	280[label="yu300 == yu40000",fontsize=16,color="magenta"];280 -> 507[label="",style="dashed", color="magenta", weight=3];
13.22/5.01	280 -> 508[label="",style="dashed", color="magenta", weight=3];
13.22/5.01	281 -> 46[label="",style="dashed", color="red", weight=0];
13.22/5.01	281[label="yu300 == yu40000",fontsize=16,color="magenta"];281 -> 509[label="",style="dashed", color="magenta", weight=3];
13.22/5.01	281 -> 510[label="",style="dashed", color="magenta", weight=3];
13.22/5.01	282 -> 33[label="",style="dashed", color="red", weight=0];
13.22/5.01	282[label="yu301 == yu40001",fontsize=16,color="magenta"];282 -> 511[label="",style="dashed", color="magenta", weight=3];
13.22/5.01	282 -> 512[label="",style="dashed", color="magenta", weight=3];
13.22/5.01	283 -> 34[label="",style="dashed", color="red", weight=0];
13.22/5.01	283[label="yu301 == yu40001",fontsize=16,color="magenta"];283 -> 513[label="",style="dashed", color="magenta", weight=3];
13.22/5.01	283 -> 514[label="",style="dashed", color="magenta", weight=3];
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13.22/5.02	954 -> 675[label="",style="solid", color="burlywood", weight=3];
13.22/5.02	955[label="yu400010/Zero",fontsize=10,color="white",style="solid",shape="box"];668 -> 955[label="",style="solid", color="burlywood", weight=9];
13.22/5.02	955 -> 676[label="",style="solid", color="burlywood", weight=3];
13.22/5.02	669[label="yu400010",fontsize=16,color="green",shape="box"];670[label="yu3000",fontsize=16,color="green",shape="box"];671[label="yu400010",fontsize=16,color="green",shape="box"];672[label="yu3000",fontsize=16,color="green",shape="box"];673[label="primMulNat (Succ yu30000) (Succ yu4000100)",fontsize=16,color="black",shape="box"];673 -> 677[label="",style="solid", color="black", weight=3];
13.22/5.02	674[label="primMulNat (Succ yu30000) Zero",fontsize=16,color="black",shape="box"];674 -> 678[label="",style="solid", color="black", weight=3];
13.22/5.02	675[label="primMulNat Zero (Succ yu4000100)",fontsize=16,color="black",shape="box"];675 -> 679[label="",style="solid", color="black", weight=3];
13.22/5.02	676[label="primMulNat Zero Zero",fontsize=16,color="black",shape="box"];676 -> 680[label="",style="solid", color="black", weight=3];
13.22/5.02	677 -> 681[label="",style="dashed", color="red", weight=0];
13.22/5.02	677[label="primPlusNat (primMulNat yu30000 (Succ yu4000100)) (Succ yu4000100)",fontsize=16,color="magenta"];677 -> 682[label="",style="dashed", color="magenta", weight=3];
13.22/5.02	678[label="Zero",fontsize=16,color="green",shape="box"];679[label="Zero",fontsize=16,color="green",shape="box"];680[label="Zero",fontsize=16,color="green",shape="box"];682 -> 663[label="",style="dashed", color="red", weight=0];
13.22/5.02	682[label="primMulNat yu30000 (Succ yu4000100)",fontsize=16,color="magenta"];682 -> 683[label="",style="dashed", color="magenta", weight=3];
13.22/5.02	682 -> 684[label="",style="dashed", color="magenta", weight=3];
13.22/5.02	681[label="primPlusNat yu29 (Succ yu4000100)",fontsize=16,color="burlywood",shape="triangle"];956[label="yu29/Succ yu290",fontsize=10,color="white",style="solid",shape="box"];681 -> 956[label="",style="solid", color="burlywood", weight=9];
13.22/5.02	956 -> 685[label="",style="solid", color="burlywood", weight=3];
13.22/5.02	957[label="yu29/Zero",fontsize=10,color="white",style="solid",shape="box"];681 -> 957[label="",style="solid", color="burlywood", weight=9];
13.22/5.02	957 -> 686[label="",style="solid", color="burlywood", weight=3];
13.22/5.02	683[label="Succ yu4000100",fontsize=16,color="green",shape="box"];684[label="yu30000",fontsize=16,color="green",shape="box"];685[label="primPlusNat (Succ yu290) (Succ yu4000100)",fontsize=16,color="black",shape="box"];685 -> 687[label="",style="solid", color="black", weight=3];
13.22/5.02	686[label="primPlusNat Zero (Succ yu4000100)",fontsize=16,color="black",shape="box"];686 -> 688[label="",style="solid", color="black", weight=3];
13.22/5.02	687[label="Succ (Succ (primPlusNat yu290 yu4000100))",fontsize=16,color="green",shape="box"];687 -> 689[label="",style="dashed", color="green", weight=3];
13.22/5.02	688[label="Succ yu4000100",fontsize=16,color="green",shape="box"];689[label="primPlusNat yu290 yu4000100",fontsize=16,color="burlywood",shape="triangle"];958[label="yu290/Succ yu2900",fontsize=10,color="white",style="solid",shape="box"];689 -> 958[label="",style="solid", color="burlywood", weight=9];
13.22/5.02	958 -> 690[label="",style="solid", color="burlywood", weight=3];
13.22/5.02	959[label="yu290/Zero",fontsize=10,color="white",style="solid",shape="box"];689 -> 959[label="",style="solid", color="burlywood", weight=9];
13.22/5.02	959 -> 691[label="",style="solid", color="burlywood", weight=3];
13.22/5.02	690[label="primPlusNat (Succ yu2900) yu4000100",fontsize=16,color="burlywood",shape="box"];960[label="yu4000100/Succ yu40001000",fontsize=10,color="white",style="solid",shape="box"];690 -> 960[label="",style="solid", color="burlywood", weight=9];
13.22/5.02	960 -> 692[label="",style="solid", color="burlywood", weight=3];
13.22/5.02	961[label="yu4000100/Zero",fontsize=10,color="white",style="solid",shape="box"];690 -> 961[label="",style="solid", color="burlywood", weight=9];
13.22/5.02	961 -> 693[label="",style="solid", color="burlywood", weight=3];
13.22/5.02	691[label="primPlusNat Zero yu4000100",fontsize=16,color="burlywood",shape="box"];962[label="yu4000100/Succ yu40001000",fontsize=10,color="white",style="solid",shape="box"];691 -> 962[label="",style="solid", color="burlywood", weight=9];
13.22/5.02	962 -> 694[label="",style="solid", color="burlywood", weight=3];
13.22/5.02	963[label="yu4000100/Zero",fontsize=10,color="white",style="solid",shape="box"];691 -> 963[label="",style="solid", color="burlywood", weight=9];
13.22/5.02	963 -> 695[label="",style="solid", color="burlywood", weight=3];
13.22/5.02	692[label="primPlusNat (Succ yu2900) (Succ yu40001000)",fontsize=16,color="black",shape="box"];692 -> 696[label="",style="solid", color="black", weight=3];
13.22/5.02	693[label="primPlusNat (Succ yu2900) Zero",fontsize=16,color="black",shape="box"];693 -> 697[label="",style="solid", color="black", weight=3];
13.22/5.02	694[label="primPlusNat Zero (Succ yu40001000)",fontsize=16,color="black",shape="box"];694 -> 698[label="",style="solid", color="black", weight=3];
13.22/5.02	695[label="primPlusNat Zero Zero",fontsize=16,color="black",shape="box"];695 -> 699[label="",style="solid", color="black", weight=3];
13.22/5.02	696[label="Succ (Succ (primPlusNat yu2900 yu40001000))",fontsize=16,color="green",shape="box"];696 -> 700[label="",style="dashed", color="green", weight=3];
13.22/5.02	697[label="Succ yu2900",fontsize=16,color="green",shape="box"];698[label="Succ yu40001000",fontsize=16,color="green",shape="box"];699[label="Zero",fontsize=16,color="green",shape="box"];700 -> 689[label="",style="dashed", color="red", weight=0];
13.22/5.02	700[label="primPlusNat yu2900 yu40001000",fontsize=16,color="magenta"];700 -> 701[label="",style="dashed", color="magenta", weight=3];
13.22/5.02	700 -> 702[label="",style="dashed", color="magenta", weight=3];
13.22/5.02	701[label="yu2900",fontsize=16,color="green",shape="box"];702[label="yu40001000",fontsize=16,color="green",shape="box"];}
13.22/5.02	
13.22/5.02	----------------------------------------
13.22/5.02	
13.22/5.02	(6)
13.22/5.02	Complex Obligation (AND)
13.22/5.02	
13.22/5.02	----------------------------------------
13.22/5.02	
13.22/5.02	(7)
13.22/5.02	Obligation:
13.22/5.02	Q DP problem:
13.22/5.02	The TRS P consists of the following rules:
13.22/5.02	
13.22/5.02	   new_lookup1(yu11, yu12, yu13, yu14, False, bb, bc) -> new_lookup(Just(yu11), yu14, bb, bc)
13.22/5.02	   new_lookup(Nothing, :(@2(Just(yu4000), yu401), yu41), h, ba) -> new_lookup(Nothing, yu41, h, ba)
13.22/5.02	   new_lookup(Just(yu30), :(@2(Just(yu4000), yu401), yu41), h, ba) -> new_lookup1(yu30, yu4000, yu401, yu41, new_esEs4(yu30, yu4000, ba), h, ba)
13.22/5.02	   new_lookup(Just(yu30), :(@2(Nothing, yu401), yu41), h, ba) -> new_lookup(Just(yu30), yu41, h, ba)
13.22/5.02	
13.22/5.02	The TRS R consists of the following rules:
13.22/5.02	
13.22/5.02	   new_primEqInt(Pos(Zero), Pos(Zero)) -> True
13.22/5.02	   new_esEs19(yu300, yu40000, ty_Integer) -> new_esEs12(yu300, yu40000)
13.22/5.02	   new_esEs19(yu300, yu40000, ty_Float) -> new_esEs7(yu300, yu40000)
13.22/5.02	   new_esEs15(Left(yu300), Right(yu40000), bbh, baf) -> False
13.22/5.02	   new_esEs15(Right(yu300), Left(yu40000), bbh, baf) -> False
13.22/5.02	   new_esEs23(yu300, yu40000, ty_Char) -> new_esEs17(yu300, yu40000)
13.22/5.02	   new_esEs22(yu302, yu40002, app(app(ty_Either, baa), bab)) -> new_esEs15(yu302, yu40002, baa, bab)
13.22/5.02	   new_esEs15(Right(yu300), Right(yu40000), bbh, ty_Char) -> new_esEs17(yu300, yu40000)
13.22/5.02	   new_esEs5(Just(yu300), Just(yu40000), app(app(app(ty_@3, bf), bg), bh)) -> new_esEs8(yu300, yu40000, bf, bg, bh)
13.22/5.02	   new_esEs22(yu302, yu40002, ty_Double) -> new_esEs10(yu302, yu40002)
13.22/5.02	   new_esEs15(Left(yu300), Left(yu40000), ty_Int, baf) -> new_esEs18(yu300, yu40000)
13.22/5.02	   new_esEs5(Just(yu300), Just(yu40000), ty_Double) -> new_esEs10(yu300, yu40000)
13.22/5.02	   new_esEs23(yu300, yu40000, ty_Ordering) -> new_esEs13(yu300, yu40000)
13.22/5.02	   new_esEs25(yu300, yu40000, ty_Integer) -> new_esEs12(yu300, yu40000)
13.22/5.02	   new_esEs19(yu300, yu40000, app(app(ty_@2, de), df)) -> new_esEs9(yu300, yu40000, de, df)
13.22/5.02	   new_esEs19(yu300, yu40000, app(ty_Maybe, eb)) -> new_esEs5(yu300, yu40000, eb)
13.22/5.02	   new_esEs24(yu301, yu40001, ty_@0) -> new_esEs11(yu301, yu40001)
13.22/5.02	   new_esEs8(@3(yu300, yu301, yu302), @3(yu40000, yu40001, yu40002), ec, ed, ee) -> new_asAs(new_esEs20(yu300, yu40000, ec), new_asAs(new_esEs21(yu301, yu40001, ed), new_esEs22(yu302, yu40002, ee)))
13.22/5.02	   new_esEs20(yu300, yu40000, ty_Bool) -> new_esEs14(yu300, yu40000)
13.22/5.02	   new_esEs18(yu30, yu4000) -> new_primEqInt(yu30, yu4000)
13.22/5.02	   new_esEs7(Float(yu300, yu301), Float(yu40000, yu40001)) -> new_esEs18(new_sr(yu300, yu40001), new_sr(yu301, yu40000))
13.22/5.02	   new_asAs(True, yu28) -> yu28
13.22/5.02	   new_esEs4(yu30, yu4000, ty_Integer) -> new_esEs12(yu30, yu4000)
13.22/5.02	   new_esEs20(yu300, yu40000, app(app(ty_@2, fb), fc)) -> new_esEs9(yu300, yu40000, fb, fc)
13.22/5.02	   new_esEs24(yu301, yu40001, app(app(ty_Either, bfe), bff)) -> new_esEs15(yu301, yu40001, bfe, bff)
13.22/5.02	   new_esEs15(Right(yu300), Right(yu40000), bbh, app(app(app(ty_@3, bcb), bcc), bcd)) -> new_esEs8(yu300, yu40000, bcb, bcc, bcd)
13.22/5.02	   new_esEs5(Just(yu300), Just(yu40000), app(app(ty_Either, cc), cd)) -> new_esEs15(yu300, yu40000, cc, cd)
13.22/5.02	   new_primEqInt(Pos(Succ(yu3000)), Pos(Zero)) -> False
13.22/5.02	   new_primEqInt(Pos(Zero), Pos(Succ(yu400000))) -> False
13.22/5.02	   new_esEs10(Double(yu300, yu301), Double(yu40000, yu40001)) -> new_esEs18(new_sr(yu300, yu40001), new_sr(yu301, yu40000))
13.22/5.02	   new_esEs20(yu300, yu40000, app(ty_Maybe, fh)) -> new_esEs5(yu300, yu40000, fh)
13.22/5.02	   new_esEs4(yu30, yu4000, ty_Char) -> new_esEs17(yu30, yu4000)
13.22/5.02	   new_esEs19(yu300, yu40000, ty_Char) -> new_esEs17(yu300, yu40000)
13.22/5.02	   new_esEs23(yu300, yu40000, app(app(ty_@2, bea), beb)) -> new_esEs9(yu300, yu40000, bea, beb)
13.22/5.02	   new_esEs5(Just(yu300), Just(yu40000), ty_@0) -> new_esEs11(yu300, yu40000)
13.22/5.02	   new_esEs23(yu300, yu40000, ty_Float) -> new_esEs7(yu300, yu40000)
13.22/5.02	   new_primEqNat0(Succ(yu3000), Succ(yu400000)) -> new_primEqNat0(yu3000, yu400000)
13.22/5.02	   new_esEs21(yu301, yu40001, ty_Ordering) -> new_esEs13(yu301, yu40001)
13.22/5.02	   new_esEs15(Right(yu300), Right(yu40000), bbh, ty_Int) -> new_esEs18(yu300, yu40000)
13.22/5.02	   new_esEs19(yu300, yu40000, ty_Bool) -> new_esEs14(yu300, yu40000)
13.22/5.02	   new_esEs21(yu301, yu40001, app(ty_Ratio, ga)) -> new_esEs6(yu301, yu40001, ga)
13.22/5.02	   new_esEs9(@2(yu300, yu301), @2(yu40000, yu40001), bdc, bdd) -> new_asAs(new_esEs23(yu300, yu40000, bdc), new_esEs24(yu301, yu40001, bdd))
13.22/5.02	   new_esEs4(yu30, yu4000, ty_Bool) -> new_esEs14(yu30, yu4000)
13.22/5.02	   new_esEs22(yu302, yu40002, ty_@0) -> new_esEs11(yu302, yu40002)
13.22/5.02	   new_esEs24(yu301, yu40001, ty_Double) -> new_esEs10(yu301, yu40001)
13.22/5.02	   new_esEs17(Char(yu300), Char(yu40000)) -> new_primEqNat0(yu300, yu40000)
13.22/5.02	   new_primMulNat0(Zero, Zero) -> Zero
13.22/5.02	   new_esEs15(Left(yu300), Left(yu40000), ty_Ordering, baf) -> new_esEs13(yu300, yu40000)
13.22/5.02	   new_esEs24(yu301, yu40001, ty_Int) -> new_esEs18(yu301, yu40001)
13.22/5.02	   new_esEs4(yu30, yu4000, ty_Int) -> new_esEs18(yu30, yu4000)
13.22/5.02	   new_esEs21(yu301, yu40001, app(app(app(ty_@3, gb), gc), gd)) -> new_esEs8(yu301, yu40001, gb, gc, gd)
13.22/5.02	   new_esEs24(yu301, yu40001, app(ty_[], bfg)) -> new_esEs16(yu301, yu40001, bfg)
13.22/5.02	   new_esEs24(yu301, yu40001, app(ty_Maybe, bfh)) -> new_esEs5(yu301, yu40001, bfh)
13.22/5.02	   new_esEs20(yu300, yu40000, app(ty_Ratio, ef)) -> new_esEs6(yu300, yu40000, ef)
13.22/5.02	   new_esEs15(Left(yu300), Left(yu40000), app(app(ty_Either, bbd), bbe), baf) -> new_esEs15(yu300, yu40000, bbd, bbe)
13.22/5.02	   new_esEs15(Right(yu300), Right(yu40000), bbh, ty_Integer) -> new_esEs12(yu300, yu40000)
13.22/5.02	   new_primEqNat0(Succ(yu3000), Zero) -> False
13.22/5.02	   new_primEqNat0(Zero, Succ(yu400000)) -> False
13.22/5.02	   new_esEs12(Integer(yu300), Integer(yu40000)) -> new_primEqInt(yu300, yu40000)
13.22/5.02	   new_esEs20(yu300, yu40000, ty_Float) -> new_esEs7(yu300, yu40000)
13.22/5.02	   new_esEs23(yu300, yu40000, ty_Int) -> new_esEs18(yu300, yu40000)
13.22/5.02	   new_esEs19(yu300, yu40000, app(app(ty_Either, dg), dh)) -> new_esEs15(yu300, yu40000, dg, dh)
13.22/5.02	   new_esEs22(yu302, yu40002, app(app(app(ty_@3, hd), he), hf)) -> new_esEs8(yu302, yu40002, hd, he, hf)
13.22/5.02	   new_esEs23(yu300, yu40000, ty_Bool) -> new_esEs14(yu300, yu40000)
13.22/5.02	   new_esEs14(False, True) -> False
13.22/5.02	   new_esEs14(True, False) -> False
13.22/5.02	   new_esEs24(yu301, yu40001, ty_Float) -> new_esEs7(yu301, yu40001)
13.22/5.02	   new_esEs13(LT, LT) -> True
13.22/5.02	   new_esEs20(yu300, yu40000, app(app(ty_Either, fd), ff)) -> new_esEs15(yu300, yu40000, fd, ff)
13.22/5.02	   new_esEs15(Left(yu300), Left(yu40000), ty_Char, baf) -> new_esEs17(yu300, yu40000)
13.22/5.02	   new_esEs22(yu302, yu40002, ty_Ordering) -> new_esEs13(yu302, yu40002)
13.22/5.02	   new_esEs23(yu300, yu40000, ty_Integer) -> new_esEs12(yu300, yu40000)
13.22/5.02	   new_esEs6(:%(yu300, yu301), :%(yu40000, yu40001), bga) -> new_asAs(new_esEs25(yu300, yu40000, bga), new_esEs26(yu301, yu40001, bga))
13.22/5.02	   new_primEqInt(Neg(Succ(yu3000)), Neg(Zero)) -> False
13.22/5.02	   new_primEqInt(Neg(Zero), Neg(Succ(yu400000))) -> False
13.22/5.02	   new_primEqInt(Pos(Succ(yu3000)), Pos(Succ(yu400000))) -> new_primEqNat0(yu3000, yu400000)
13.22/5.02	   new_esEs15(Left(yu300), Left(yu40000), app(app(app(ty_@3, bag), bah), bba), baf) -> new_esEs8(yu300, yu40000, bag, bah, bba)
13.22/5.02	   new_esEs15(Right(yu300), Right(yu40000), bbh, ty_Ordering) -> new_esEs13(yu300, yu40000)
13.22/5.02	   new_esEs24(yu301, yu40001, app(app(ty_@2, bfc), bfd)) -> new_esEs9(yu301, yu40001, bfc, bfd)
13.22/5.02	   new_esEs20(yu300, yu40000, app(ty_[], fg)) -> new_esEs16(yu300, yu40000, fg)
13.22/5.02	   new_esEs24(yu301, yu40001, ty_Bool) -> new_esEs14(yu301, yu40001)
13.22/5.02	   new_sr(Pos(yu3000), Neg(yu400010)) -> Neg(new_primMulNat0(yu3000, yu400010))
13.22/5.02	   new_sr(Neg(yu3000), Pos(yu400010)) -> Neg(new_primMulNat0(yu3000, yu400010))
13.22/5.02	   new_esEs21(yu301, yu40001, ty_Char) -> new_esEs17(yu301, yu40001)
13.22/5.02	   new_primPlusNat1(Succ(yu2900), Succ(yu40001000)) -> Succ(Succ(new_primPlusNat1(yu2900, yu40001000)))
13.22/5.02	   new_esEs4(yu30, yu4000, ty_Ordering) -> new_esEs13(yu30, yu4000)
13.22/5.02	   new_primEqInt(Pos(Succ(yu3000)), Neg(yu40000)) -> False
13.22/5.02	   new_primEqInt(Neg(Succ(yu3000)), Pos(yu40000)) -> False
13.22/5.02	   new_esEs14(False, False) -> True
13.22/5.02	   new_esEs19(yu300, yu40000, app(ty_[], ea)) -> new_esEs16(yu300, yu40000, ea)
13.22/5.02	   new_esEs13(LT, GT) -> False
13.22/5.02	   new_esEs13(GT, LT) -> False
13.22/5.02	   new_esEs19(yu300, yu40000, app(ty_Ratio, da)) -> new_esEs6(yu300, yu40000, da)
13.22/5.02	   new_esEs15(Right(yu300), Right(yu40000), bbh, app(app(ty_@2, bce), bcf)) -> new_esEs9(yu300, yu40000, bce, bcf)
13.22/5.02	   new_esEs26(yu301, yu40001, ty_Integer) -> new_esEs12(yu301, yu40001)
13.22/5.02	   new_esEs15(Right(yu300), Right(yu40000), bbh, ty_@0) -> new_esEs11(yu300, yu40000)
13.22/5.02	   new_esEs23(yu300, yu40000, ty_Double) -> new_esEs10(yu300, yu40000)
13.22/5.02	   new_sr(Neg(yu3000), Neg(yu400010)) -> Pos(new_primMulNat0(yu3000, yu400010))
13.22/5.02	   new_esEs19(yu300, yu40000, app(app(app(ty_@3, db), dc), dd)) -> new_esEs8(yu300, yu40000, db, dc, dd)
13.22/5.02	   new_esEs4(yu30, yu4000, ty_Double) -> new_esEs10(yu30, yu4000)
13.22/5.02	   new_esEs4(yu30, yu4000, ty_@0) -> new_esEs11(yu30, yu4000)
13.22/5.02	   new_esEs23(yu300, yu40000, ty_@0) -> new_esEs11(yu300, yu40000)
13.22/5.02	   new_esEs15(Right(yu300), Right(yu40000), bbh, ty_Double) -> new_esEs10(yu300, yu40000)
13.22/5.02	   new_esEs20(yu300, yu40000, ty_Int) -> new_esEs18(yu300, yu40000)
13.22/5.02	   new_esEs15(Left(yu300), Left(yu40000), app(ty_Ratio, bae), baf) -> new_esEs6(yu300, yu40000, bae)
13.22/5.02	   new_esEs4(yu30, yu4000, app(app(app(ty_@3, ec), ed), ee)) -> new_esEs8(yu30, yu4000, ec, ed, ee)
13.22/5.02	   new_esEs21(yu301, yu40001, app(app(ty_Either, gg), gh)) -> new_esEs15(yu301, yu40001, gg, gh)
13.22/5.02	   new_esEs13(GT, GT) -> True
13.22/5.02	   new_esEs5(Just(yu300), Just(yu40000), app(ty_Ratio, be)) -> new_esEs6(yu300, yu40000, be)
13.22/5.02	   new_esEs5(Just(yu300), Just(yu40000), ty_Ordering) -> new_esEs13(yu300, yu40000)
13.22/5.02	   new_esEs22(yu302, yu40002, ty_Char) -> new_esEs17(yu302, yu40002)
13.22/5.02	   new_primEqInt(Pos(Zero), Neg(Succ(yu400000))) -> False
13.22/5.02	   new_primEqInt(Neg(Zero), Pos(Succ(yu400000))) -> False
13.22/5.02	   new_esEs5(Just(yu300), Just(yu40000), ty_Char) -> new_esEs17(yu300, yu40000)
13.22/5.02	   new_esEs4(yu30, yu4000, app(app(ty_Either, bbh), baf)) -> new_esEs15(yu30, yu4000, bbh, baf)
13.22/5.02	   new_esEs21(yu301, yu40001, app(ty_Maybe, hb)) -> new_esEs5(yu301, yu40001, hb)
13.22/5.02	   new_esEs21(yu301, yu40001, ty_Double) -> new_esEs10(yu301, yu40001)
13.22/5.02	   new_esEs5(Nothing, Nothing, bd) -> True
13.22/5.02	   new_esEs20(yu300, yu40000, ty_Char) -> new_esEs17(yu300, yu40000)
13.22/5.02	   new_esEs19(yu300, yu40000, ty_Int) -> new_esEs18(yu300, yu40000)
13.22/5.02	   new_primEqInt(Neg(Succ(yu3000)), Neg(Succ(yu400000))) -> new_primEqNat0(yu3000, yu400000)
13.22/5.02	   new_esEs5(Nothing, Just(yu40000), bd) -> False
13.22/5.02	   new_esEs5(Just(yu300), Nothing, bd) -> False
13.22/5.02	   new_esEs24(yu301, yu40001, ty_Integer) -> new_esEs12(yu301, yu40001)
13.22/5.02	   new_esEs15(Left(yu300), Left(yu40000), ty_Double, baf) -> new_esEs10(yu300, yu40000)
13.22/5.02	   new_esEs5(Just(yu300), Just(yu40000), ty_Bool) -> new_esEs14(yu300, yu40000)
13.22/5.02	   new_esEs16(:(yu300, yu301), :(yu40000, yu40001), cg) -> new_asAs(new_esEs19(yu300, yu40000, cg), new_esEs16(yu301, yu40001, cg))
13.22/5.02	   new_primPlusNat0(Succ(yu290), yu4000100) -> Succ(Succ(new_primPlusNat1(yu290, yu4000100)))
13.22/5.02	   new_esEs23(yu300, yu40000, app(app(app(ty_@3, bdf), bdg), bdh)) -> new_esEs8(yu300, yu40000, bdf, bdg, bdh)
13.22/5.02	   new_esEs24(yu301, yu40001, app(ty_Ratio, beg)) -> new_esEs6(yu301, yu40001, beg)
13.22/5.02	   new_esEs13(EQ, GT) -> False
13.22/5.02	   new_esEs13(GT, EQ) -> False
13.22/5.02	   new_esEs19(yu300, yu40000, ty_@0) -> new_esEs11(yu300, yu40000)
13.22/5.02	   new_esEs15(Left(yu300), Left(yu40000), ty_@0, baf) -> new_esEs11(yu300, yu40000)
13.22/5.02	   new_esEs22(yu302, yu40002, ty_Integer) -> new_esEs12(yu302, yu40002)
13.22/5.02	   new_esEs25(yu300, yu40000, ty_Int) -> new_esEs18(yu300, yu40000)
13.22/5.02	   new_primPlusNat1(Zero, Zero) -> Zero
13.22/5.02	   new_esEs22(yu302, yu40002, ty_Int) -> new_esEs18(yu302, yu40002)
13.22/5.02	   new_esEs15(Left(yu300), Left(yu40000), ty_Integer, baf) -> new_esEs12(yu300, yu40000)
13.22/5.02	   new_primMulNat0(Succ(yu30000), Zero) -> Zero
13.22/5.02	   new_primMulNat0(Zero, Succ(yu4000100)) -> Zero
13.22/5.02	   new_sr(Pos(yu3000), Pos(yu400010)) -> Pos(new_primMulNat0(yu3000, yu400010))
13.22/5.02	   new_primPlusNat0(Zero, yu4000100) -> Succ(yu4000100)
13.22/5.02	   new_esEs24(yu301, yu40001, ty_Ordering) -> new_esEs13(yu301, yu40001)
13.22/5.02	   new_esEs5(Just(yu300), Just(yu40000), ty_Integer) -> new_esEs12(yu300, yu40000)
13.22/5.02	   new_esEs15(Right(yu300), Right(yu40000), bbh, app(ty_[], bda)) -> new_esEs16(yu300, yu40000, bda)
13.22/5.02	   new_esEs23(yu300, yu40000, app(ty_Maybe, bef)) -> new_esEs5(yu300, yu40000, bef)
13.22/5.02	   new_esEs21(yu301, yu40001, app(ty_[], ha)) -> new_esEs16(yu301, yu40001, ha)
13.22/5.02	   new_esEs20(yu300, yu40000, app(app(app(ty_@3, eg), eh), fa)) -> new_esEs8(yu300, yu40000, eg, eh, fa)
13.22/5.02	   new_esEs15(Right(yu300), Right(yu40000), bbh, app(ty_Ratio, bca)) -> new_esEs6(yu300, yu40000, bca)
13.22/5.02	   new_esEs21(yu301, yu40001, ty_Integer) -> new_esEs12(yu301, yu40001)
13.22/5.02	   new_esEs15(Right(yu300), Right(yu40000), bbh, ty_Bool) -> new_esEs14(yu300, yu40000)
13.22/5.02	   new_esEs22(yu302, yu40002, ty_Float) -> new_esEs7(yu302, yu40002)
13.22/5.02	   new_primEqInt(Neg(Zero), Neg(Zero)) -> True
13.22/5.02	   new_esEs20(yu300, yu40000, ty_Ordering) -> new_esEs13(yu300, yu40000)
13.22/5.02	   new_primMulNat0(Succ(yu30000), Succ(yu4000100)) -> new_primPlusNat0(new_primMulNat0(yu30000, Succ(yu4000100)), yu4000100)
13.22/5.02	   new_esEs15(Left(yu300), Left(yu40000), app(ty_[], bbf), baf) -> new_esEs16(yu300, yu40000, bbf)
13.22/5.02	   new_esEs15(Right(yu300), Right(yu40000), bbh, app(app(ty_Either, bcg), bch)) -> new_esEs15(yu300, yu40000, bcg, bch)
13.22/5.02	   new_esEs22(yu302, yu40002, ty_Bool) -> new_esEs14(yu302, yu40002)
13.22/5.02	   new_esEs15(Left(yu300), Left(yu40000), app(ty_Maybe, bbg), baf) -> new_esEs5(yu300, yu40000, bbg)
13.22/5.02	   new_esEs5(Just(yu300), Just(yu40000), ty_Int) -> new_esEs18(yu300, yu40000)
13.22/5.02	   new_esEs22(yu302, yu40002, app(app(ty_@2, hg), hh)) -> new_esEs9(yu302, yu40002, hg, hh)
13.22/5.02	   new_esEs15(Right(yu300), Right(yu40000), bbh, ty_Float) -> new_esEs7(yu300, yu40000)
13.22/5.02	   new_esEs22(yu302, yu40002, app(ty_Ratio, hc)) -> new_esEs6(yu302, yu40002, hc)
13.22/5.02	   new_esEs20(yu300, yu40000, ty_Integer) -> new_esEs12(yu300, yu40000)
13.22/5.02	   new_primPlusNat1(Succ(yu2900), Zero) -> Succ(yu2900)
13.22/5.02	   new_primPlusNat1(Zero, Succ(yu40001000)) -> Succ(yu40001000)
13.22/5.02	   new_esEs21(yu301, yu40001, ty_Float) -> new_esEs7(yu301, yu40001)
13.22/5.02	   new_esEs16(:(yu300, yu301), [], cg) -> False
13.22/5.02	   new_esEs16([], :(yu40000, yu40001), cg) -> False
13.22/5.02	   new_esEs5(Just(yu300), Just(yu40000), app(ty_[], ce)) -> new_esEs16(yu300, yu40000, ce)
13.22/5.02	   new_esEs23(yu300, yu40000, app(ty_[], bee)) -> new_esEs16(yu300, yu40000, bee)
13.22/5.02	   new_esEs11(@0, @0) -> True
13.22/5.02	   new_esEs20(yu300, yu40000, ty_@0) -> new_esEs11(yu300, yu40000)
13.22/5.02	   new_primEqInt(Pos(Zero), Neg(Zero)) -> True
13.22/5.02	   new_primEqInt(Neg(Zero), Pos(Zero)) -> True
13.22/5.02	   new_esEs21(yu301, yu40001, app(app(ty_@2, ge), gf)) -> new_esEs9(yu301, yu40001, ge, gf)
13.22/5.02	   new_esEs4(yu30, yu4000, app(ty_Maybe, bd)) -> new_esEs5(yu30, yu4000, bd)
13.22/5.02	   new_esEs15(Left(yu300), Left(yu40000), ty_Bool, baf) -> new_esEs14(yu300, yu40000)
13.22/5.02	   new_esEs4(yu30, yu4000, app(app(ty_@2, bdc), bdd)) -> new_esEs9(yu30, yu4000, bdc, bdd)
13.22/5.02	   new_esEs15(Right(yu300), Right(yu40000), bbh, app(ty_Maybe, bdb)) -> new_esEs5(yu300, yu40000, bdb)
13.22/5.02	   new_esEs23(yu300, yu40000, app(ty_Ratio, bde)) -> new_esEs6(yu300, yu40000, bde)
13.22/5.02	   new_esEs26(yu301, yu40001, ty_Int) -> new_esEs18(yu301, yu40001)
13.22/5.02	   new_esEs16([], [], cg) -> True
13.22/5.02	   new_primEqNat0(Zero, Zero) -> True
13.22/5.02	   new_esEs21(yu301, yu40001, ty_Int) -> new_esEs18(yu301, yu40001)
13.22/5.02	   new_esEs5(Just(yu300), Just(yu40000), app(app(ty_@2, ca), cb)) -> new_esEs9(yu300, yu40000, ca, cb)
13.22/5.02	   new_esEs4(yu30, yu4000, ty_Float) -> new_esEs7(yu30, yu4000)
13.22/5.02	   new_esEs19(yu300, yu40000, ty_Double) -> new_esEs10(yu300, yu40000)
13.22/5.02	   new_esEs14(True, True) -> True
13.22/5.02	   new_esEs15(Left(yu300), Left(yu40000), app(app(ty_@2, bbb), bbc), baf) -> new_esEs9(yu300, yu40000, bbb, bbc)
13.22/5.02	   new_esEs13(EQ, EQ) -> True
13.22/5.02	   new_asAs(False, yu28) -> False
13.22/5.02	   new_esEs22(yu302, yu40002, app(ty_[], bac)) -> new_esEs16(yu302, yu40002, bac)
13.22/5.02	   new_esEs21(yu301, yu40001, ty_@0) -> new_esEs11(yu301, yu40001)
13.22/5.02	   new_esEs22(yu302, yu40002, app(ty_Maybe, bad)) -> new_esEs5(yu302, yu40002, bad)
13.22/5.02	   new_esEs13(LT, EQ) -> False
13.22/5.02	   new_esEs13(EQ, LT) -> False
13.22/5.02	   new_esEs21(yu301, yu40001, ty_Bool) -> new_esEs14(yu301, yu40001)
13.22/5.02	   new_esEs24(yu301, yu40001, app(app(app(ty_@3, beh), bfa), bfb)) -> new_esEs8(yu301, yu40001, beh, bfa, bfb)
13.22/5.02	   new_esEs19(yu300, yu40000, ty_Ordering) -> new_esEs13(yu300, yu40000)
13.22/5.02	   new_esEs15(Left(yu300), Left(yu40000), ty_Float, baf) -> new_esEs7(yu300, yu40000)
13.22/5.02	   new_esEs5(Just(yu300), Just(yu40000), app(ty_Maybe, cf)) -> new_esEs5(yu300, yu40000, cf)
13.22/5.02	   new_esEs4(yu30, yu4000, app(ty_Ratio, bga)) -> new_esEs6(yu30, yu4000, bga)
13.22/5.02	   new_esEs23(yu300, yu40000, app(app(ty_Either, bec), bed)) -> new_esEs15(yu300, yu40000, bec, bed)
13.22/5.02	   new_esEs24(yu301, yu40001, ty_Char) -> new_esEs17(yu301, yu40001)
13.22/5.02	   new_esEs20(yu300, yu40000, ty_Double) -> new_esEs10(yu300, yu40000)
13.22/5.02	   new_esEs4(yu30, yu4000, app(ty_[], cg)) -> new_esEs16(yu30, yu4000, cg)
13.22/5.02	   new_esEs5(Just(yu300), Just(yu40000), ty_Float) -> new_esEs7(yu300, yu40000)
13.22/5.02	
13.22/5.02	The set Q consists of the following terms:
13.22/5.02	
13.22/5.02	   new_esEs22(x0, x1, app(app(ty_@2, x2), x3))
13.22/5.02	   new_esEs15(Left(x0), Left(x1), app(app(app(ty_@3, x2), x3), x4), x5)
13.22/5.02	   new_primPlusNat0(Succ(x0), x1)
13.22/5.02	   new_esEs5(Just(x0), Just(x1), ty_Double)
13.22/5.02	   new_esEs21(x0, x1, app(ty_Ratio, x2))
13.22/5.02	   new_esEs13(EQ, EQ)
13.22/5.02	   new_esEs5(Just(x0), Just(x1), ty_Float)
13.22/5.02	   new_esEs22(x0, x1, ty_Int)
13.22/5.02	   new_esEs25(x0, x1, ty_Integer)
13.22/5.02	   new_esEs15(Left(x0), Left(x1), app(app(ty_@2, x2), x3), x4)
13.22/5.02	   new_esEs17(Char(x0), Char(x1))
13.22/5.02	   new_asAs(False, x0)
13.22/5.02	   new_esEs23(x0, x1, ty_Integer)
13.22/5.02	   new_primMulNat0(Zero, Zero)
13.22/5.02	   new_esEs19(x0, x1, app(ty_Ratio, x2))
13.22/5.02	   new_esEs4(x0, x1, app(app(app(ty_@3, x2), x3), x4))
13.22/5.02	   new_primPlusNat1(Zero, Zero)
13.22/5.02	   new_primEqInt(Pos(Succ(x0)), Pos(Zero))
13.22/5.02	   new_esEs21(x0, x1, ty_Double)
13.22/5.02	   new_esEs23(x0, x1, app(ty_Ratio, x2))
13.22/5.02	   new_esEs24(x0, x1, ty_Double)
13.22/5.02	   new_esEs4(x0, x1, ty_Ordering)
13.22/5.02	   new_esEs21(x0, x1, app(app(ty_Either, x2), x3))
13.22/5.02	   new_esEs15(Right(x0), Right(x1), x2, app(ty_Ratio, x3))
13.22/5.02	   new_esEs24(x0, x1, ty_Float)
13.22/5.02	   new_esEs4(x0, x1, app(app(ty_Either, x2), x3))
13.22/5.02	   new_esEs22(x0, x1, app(app(ty_Either, x2), x3))
13.22/5.02	   new_primEqInt(Pos(Zero), Pos(Zero))
13.22/5.02	   new_esEs24(x0, x1, app(app(ty_Either, x2), x3))
13.22/5.02	   new_esEs12(Integer(x0), Integer(x1))
13.22/5.02	   new_esEs4(x0, x1, app(ty_[], x2))
13.22/5.02	   new_esEs5(Just(x0), Just(x1), app(ty_Ratio, x2))
13.22/5.02	   new_esEs15(Left(x0), Right(x1), x2, x3)
13.22/5.02	   new_esEs15(Right(x0), Left(x1), x2, x3)
13.22/5.02	   new_esEs5(Just(x0), Just(x1), ty_Int)
13.22/5.02	   new_esEs20(x0, x1, ty_Integer)
13.22/5.02	   new_esEs21(x0, x1, app(app(app(ty_@3, x2), x3), x4))
13.22/5.02	   new_esEs16([], :(x0, x1), x2)
13.22/5.02	   new_esEs16(:(x0, x1), :(x2, x3), x4)
13.22/5.02	   new_esEs22(x0, x1, ty_Ordering)
13.22/5.02	   new_esEs5(Just(x0), Just(x1), ty_Ordering)
13.22/5.02	   new_esEs14(True, True)
13.22/5.02	   new_esEs21(x0, x1, ty_Float)
13.22/5.02	   new_esEs13(LT, LT)
13.22/5.02	   new_esEs4(x0, x1, ty_Float)
13.22/5.02	   new_esEs15(Right(x0), Right(x1), x2, app(app(app(ty_@3, x3), x4), x5))
13.22/5.02	   new_esEs21(x0, x1, ty_Ordering)
13.22/5.02	   new_esEs15(Left(x0), Left(x1), ty_Integer, x2)
13.22/5.02	   new_primEqInt(Neg(Zero), Neg(Zero))
13.22/5.02	   new_esEs24(x0, x1, ty_Ordering)
13.22/5.02	   new_esEs22(x0, x1, ty_Float)
13.22/5.02	   new_esEs20(x0, x1, ty_Ordering)
13.22/5.02	   new_esEs24(x0, x1, app(ty_Maybe, x2))
13.22/5.02	   new_esEs19(x0, x1, app(app(ty_Either, x2), x3))
13.22/5.02	   new_esEs5(Just(x0), Just(x1), app(app(ty_Either, x2), x3))
13.22/5.02	   new_esEs23(x0, x1, ty_Double)
13.22/5.02	   new_primPlusNat1(Succ(x0), Zero)
13.22/5.02	   new_esEs22(x0, x1, app(ty_[], x2))
13.22/5.02	   new_esEs7(Float(x0, x1), Float(x2, x3))
13.22/5.02	   new_esEs19(x0, x1, ty_Ordering)
13.22/5.02	   new_esEs15(Right(x0), Right(x1), x2, ty_Ordering)
13.22/5.02	   new_esEs21(x0, x1, app(app(ty_@2, x2), x3))
13.22/5.02	   new_esEs23(x0, x1, ty_Bool)
13.22/5.02	   new_esEs14(False, True)
13.22/5.02	   new_esEs14(True, False)
13.22/5.02	   new_esEs9(@2(x0, x1), @2(x2, x3), x4, x5)
13.22/5.02	   new_esEs15(Right(x0), Right(x1), x2, app(ty_Maybe, x3))
13.22/5.02	   new_esEs5(Just(x0), Just(x1), app(app(ty_@2, x2), x3))
13.22/5.02	   new_esEs23(x0, x1, app(app(ty_Either, x2), x3))
13.22/5.02	   new_esEs4(x0, x1, app(app(ty_@2, x2), x3))
13.22/5.02	   new_esEs23(x0, x1, app(ty_Maybe, x2))
13.22/5.02	   new_esEs20(x0, x1, ty_Double)
13.22/5.02	   new_primEqInt(Pos(Succ(x0)), Neg(x1))
13.22/5.02	   new_primEqInt(Neg(Succ(x0)), Pos(x1))
13.22/5.02	   new_esEs22(x0, x1, ty_Double)
13.22/5.02	   new_primEqInt(Pos(Zero), Neg(Zero))
13.22/5.02	   new_primEqInt(Neg(Zero), Pos(Zero))
13.22/5.02	   new_esEs22(x0, x1, ty_Char)
13.22/5.02	   new_esEs21(x0, x1, app(ty_[], x2))
13.22/5.02	   new_esEs8(@3(x0, x1, x2), @3(x3, x4, x5), x6, x7, x8)
13.22/5.02	   new_sr(Pos(x0), Neg(x1))
13.22/5.02	   new_sr(Neg(x0), Pos(x1))
13.22/5.02	   new_esEs10(Double(x0, x1), Double(x2, x3))
13.22/5.02	   new_esEs20(x0, x1, app(ty_Maybe, x2))
13.22/5.02	   new_esEs23(x0, x1, app(app(app(ty_@3, x2), x3), x4))
13.22/5.02	   new_esEs26(x0, x1, ty_Integer)
13.22/5.02	   new_esEs22(x0, x1, app(ty_Ratio, x2))
13.22/5.02	   new_esEs20(x0, x1, ty_Bool)
13.22/5.02	   new_esEs15(Left(x0), Left(x1), app(ty_[], x2), x3)
13.22/5.02	   new_esEs16(:(x0, x1), [], x2)
13.22/5.02	   new_primEqInt(Neg(Succ(x0)), Neg(Zero))
13.22/5.02	   new_esEs5(Just(x0), Nothing, x1)
13.22/5.02	   new_esEs5(Just(x0), Just(x1), app(ty_Maybe, x2))
13.22/5.02	   new_primMulNat0(Succ(x0), Zero)
13.22/5.02	   new_esEs22(x0, x1, ty_Bool)
13.22/5.02	   new_esEs5(Nothing, Just(x0), x1)
13.22/5.02	   new_primEqInt(Pos(Zero), Neg(Succ(x0)))
13.22/5.02	   new_primEqInt(Neg(Zero), Pos(Succ(x0)))
13.22/5.02	   new_esEs4(x0, x1, ty_@0)
13.22/5.02	   new_esEs20(x0, x1, app(app(app(ty_@3, x2), x3), x4))
13.22/5.02	   new_esEs22(x0, x1, app(ty_Maybe, x2))
13.22/5.02	   new_esEs21(x0, x1, ty_@0)
13.22/5.02	   new_esEs5(Just(x0), Just(x1), ty_Bool)
13.22/5.02	   new_esEs23(x0, x1, ty_Char)
13.22/5.02	   new_esEs15(Left(x0), Left(x1), ty_Char, x2)
13.22/5.02	   new_esEs15(Left(x0), Left(x1), app(ty_Ratio, x2), x3)
13.22/5.02	   new_esEs25(x0, x1, ty_Int)
13.22/5.02	   new_esEs4(x0, x1, ty_Bool)
13.22/5.02	   new_esEs15(Left(x0), Left(x1), ty_Int, x2)
13.22/5.02	   new_primMulNat0(Succ(x0), Succ(x1))
13.22/5.02	   new_esEs5(Just(x0), Just(x1), app(ty_[], x2))
13.22/5.02	   new_esEs20(x0, x1, app(app(ty_Either, x2), x3))
13.22/5.02	   new_esEs19(x0, x1, app(ty_Maybe, x2))
13.22/5.02	   new_primEqNat0(Succ(x0), Succ(x1))
13.22/5.02	   new_primEqInt(Pos(Succ(x0)), Pos(Succ(x1)))
13.22/5.02	   new_esEs15(Right(x0), Right(x1), x2, ty_Integer)
13.22/5.02	   new_esEs13(LT, GT)
13.22/5.02	   new_esEs13(GT, LT)
13.22/5.02	   new_esEs24(x0, x1, app(ty_[], x2))
13.22/5.02	   new_primEqNat0(Succ(x0), Zero)
13.22/5.02	   new_esEs20(x0, x1, ty_Char)
13.22/5.02	   new_primEqInt(Pos(Zero), Pos(Succ(x0)))
13.22/5.02	   new_esEs24(x0, x1, app(app(ty_@2, x2), x3))
13.22/5.02	   new_esEs21(x0, x1, app(ty_Maybe, x2))
13.22/5.02	   new_esEs19(x0, x1, app(ty_[], x2))
13.22/5.02	   new_esEs19(x0, x1, ty_Integer)
13.22/5.02	   new_esEs19(x0, x1, app(app(ty_@2, x2), x3))
13.22/5.02	   new_esEs20(x0, x1, ty_Int)
13.22/5.02	   new_esEs22(x0, x1, ty_@0)
13.22/5.02	   new_esEs11(@0, @0)
13.22/5.02	   new_esEs15(Left(x0), Left(x1), ty_Ordering, x2)
13.22/5.02	   new_esEs22(x0, x1, ty_Integer)
13.22/5.02	   new_esEs15(Left(x0), Left(x1), ty_Float, x2)
13.22/5.02	   new_primEqNat0(Zero, Succ(x0))
13.22/5.02	   new_esEs15(Right(x0), Right(x1), x2, app(ty_[], x3))
13.22/5.02	   new_esEs4(x0, x1, ty_Integer)
13.22/5.02	   new_esEs23(x0, x1, ty_Ordering)
13.22/5.02	   new_esEs23(x0, x1, app(app(ty_@2, x2), x3))
13.22/5.02	   new_esEs4(x0, x1, app(ty_Maybe, x2))
13.22/5.02	   new_esEs20(x0, x1, ty_@0)
13.22/5.02	   new_esEs23(x0, x1, ty_Int)
13.22/5.02	   new_esEs5(Just(x0), Just(x1), ty_@0)
13.22/5.02	   new_esEs24(x0, x1, ty_@0)
13.22/5.02	   new_primEqInt(Neg(Succ(x0)), Neg(Succ(x1)))
13.22/5.02	   new_primMulNat0(Zero, Succ(x0))
13.22/5.02	   new_sr(Pos(x0), Pos(x1))
13.22/5.02	   new_esEs24(x0, x1, ty_Int)
13.22/5.02	   new_esEs15(Right(x0), Right(x1), x2, ty_Bool)
13.22/5.02	   new_primEqNat0(Zero, Zero)
13.22/5.02	   new_esEs15(Left(x0), Left(x1), app(app(ty_Either, x2), x3), x4)
13.22/5.02	   new_esEs21(x0, x1, ty_Char)
13.22/5.02	   new_esEs15(Right(x0), Right(x1), x2, ty_Float)
13.22/5.02	   new_esEs5(Just(x0), Just(x1), ty_Char)
13.22/5.02	   new_esEs24(x0, x1, app(app(app(ty_@3, x2), x3), x4))
13.22/5.02	   new_esEs19(x0, x1, app(app(app(ty_@3, x2), x3), x4))
13.22/5.02	   new_esEs23(x0, x1, ty_Float)
13.22/5.02	   new_primPlusNat1(Succ(x0), Succ(x1))
13.22/5.02	   new_esEs4(x0, x1, ty_Char)
13.22/5.02	   new_esEs23(x0, x1, ty_@0)
13.22/5.02	   new_esEs24(x0, x1, ty_Integer)
13.22/5.02	   new_esEs15(Right(x0), Right(x1), x2, ty_Double)
13.22/5.02	   new_esEs13(EQ, GT)
13.22/5.02	   new_esEs13(GT, EQ)
13.22/5.02	   new_esEs20(x0, x1, app(ty_[], x2))
13.22/5.02	   new_esEs21(x0, x1, ty_Integer)
13.22/5.02	   new_esEs5(Just(x0), Just(x1), app(app(app(ty_@3, x2), x3), x4))
13.22/5.02	   new_esEs15(Left(x0), Left(x1), ty_@0, x2)
13.22/5.02	   new_esEs15(Left(x0), Left(x1), ty_Double, x2)
13.22/5.02	   new_esEs20(x0, x1, ty_Float)
13.22/5.02	   new_esEs5(Just(x0), Just(x1), ty_Integer)
13.22/5.02	   new_esEs19(x0, x1, ty_Float)
13.22/5.02	   new_esEs15(Right(x0), Right(x1), x2, ty_@0)
13.22/5.02	   new_esEs21(x0, x1, ty_Int)
13.22/5.02	   new_sr(Neg(x0), Neg(x1))
13.22/5.02	   new_esEs19(x0, x1, ty_Bool)
13.22/5.02	   new_esEs26(x0, x1, ty_Int)
13.22/5.02	   new_esEs4(x0, x1, ty_Int)
13.22/5.02	   new_esEs24(x0, x1, ty_Char)
13.22/5.02	   new_esEs22(x0, x1, app(app(app(ty_@3, x2), x3), x4))
13.22/5.02	   new_esEs14(False, False)
13.22/5.02	   new_esEs18(x0, x1)
13.22/5.02	   new_esEs15(Left(x0), Left(x1), app(ty_Maybe, x2), x3)
13.22/5.02	   new_esEs6(:%(x0, x1), :%(x2, x3), x4)
13.22/5.02	   new_esEs20(x0, x1, app(ty_Ratio, x2))
13.22/5.02	   new_esEs15(Right(x0), Right(x1), x2, ty_Int)
13.22/5.02	   new_esEs19(x0, x1, ty_@0)
13.22/5.02	   new_esEs5(Nothing, Nothing, x0)
13.22/5.02	   new_esEs15(Right(x0), Right(x1), x2, app(app(ty_Either, x3), x4))
13.22/5.02	   new_esEs24(x0, x1, ty_Bool)
13.22/5.02	   new_esEs19(x0, x1, ty_Int)
13.22/5.02	   new_primPlusNat0(Zero, x0)
13.22/5.02	   new_esEs15(Left(x0), Left(x1), ty_Bool, x2)
13.22/5.02	   new_esEs21(x0, x1, ty_Bool)
13.22/5.02	   new_esEs15(Right(x0), Right(x1), x2, ty_Char)
13.22/5.02	   new_primPlusNat1(Zero, Succ(x0))
13.22/5.02	   new_esEs19(x0, x1, ty_Double)
13.22/5.02	   new_asAs(True, x0)
13.22/5.02	   new_esEs20(x0, x1, app(app(ty_@2, x2), x3))
13.22/5.02	   new_esEs13(GT, GT)
13.22/5.02	   new_esEs13(LT, EQ)
13.22/5.02	   new_esEs13(EQ, LT)
13.22/5.02	   new_esEs4(x0, x1, ty_Double)
13.22/5.02	   new_esEs16([], [], x0)
13.22/5.02	   new_primEqInt(Neg(Zero), Neg(Succ(x0)))
13.22/5.02	   new_esEs24(x0, x1, app(ty_Ratio, x2))
13.22/5.02	   new_esEs4(x0, x1, app(ty_Ratio, x2))
13.22/5.02	   new_esEs19(x0, x1, ty_Char)
13.22/5.02	   new_esEs23(x0, x1, app(ty_[], x2))
13.22/5.02	   new_esEs15(Right(x0), Right(x1), x2, app(app(ty_@2, x3), x4))
13.22/5.02	
13.22/5.02	We have to consider all minimal (P,Q,R)-chains.
13.22/5.02	----------------------------------------
13.22/5.02	
13.22/5.02	(8) DependencyGraphProof (EQUIVALENT)
13.22/5.02	The approximation of the Dependency Graph [LPAR04,FROCOS05,EDGSTAR] contains 2 SCCs.
13.22/5.02	----------------------------------------
13.22/5.02	
13.22/5.02	(9)
13.22/5.02	Complex Obligation (AND)
13.22/5.02	
13.22/5.02	----------------------------------------
13.22/5.02	
13.22/5.02	(10)
13.22/5.02	Obligation:
13.22/5.02	Q DP problem:
13.22/5.02	The TRS P consists of the following rules:
13.22/5.02	
13.22/5.02	   new_lookup(Nothing, :(@2(Just(yu4000), yu401), yu41), h, ba) -> new_lookup(Nothing, yu41, h, ba)
13.22/5.02	
13.22/5.02	The TRS R consists of the following rules:
13.22/5.02	
13.22/5.02	   new_primEqInt(Pos(Zero), Pos(Zero)) -> True
13.22/5.02	   new_esEs19(yu300, yu40000, ty_Integer) -> new_esEs12(yu300, yu40000)
13.22/5.02	   new_esEs19(yu300, yu40000, ty_Float) -> new_esEs7(yu300, yu40000)
13.22/5.02	   new_esEs15(Left(yu300), Right(yu40000), bbh, baf) -> False
13.22/5.02	   new_esEs15(Right(yu300), Left(yu40000), bbh, baf) -> False
13.22/5.02	   new_esEs23(yu300, yu40000, ty_Char) -> new_esEs17(yu300, yu40000)
13.22/5.02	   new_esEs22(yu302, yu40002, app(app(ty_Either, baa), bab)) -> new_esEs15(yu302, yu40002, baa, bab)
13.22/5.02	   new_esEs15(Right(yu300), Right(yu40000), bbh, ty_Char) -> new_esEs17(yu300, yu40000)
13.22/5.02	   new_esEs5(Just(yu300), Just(yu40000), app(app(app(ty_@3, bf), bg), bh)) -> new_esEs8(yu300, yu40000, bf, bg, bh)
13.22/5.02	   new_esEs22(yu302, yu40002, ty_Double) -> new_esEs10(yu302, yu40002)
13.22/5.02	   new_esEs15(Left(yu300), Left(yu40000), ty_Int, baf) -> new_esEs18(yu300, yu40000)
13.22/5.02	   new_esEs5(Just(yu300), Just(yu40000), ty_Double) -> new_esEs10(yu300, yu40000)
13.22/5.02	   new_esEs23(yu300, yu40000, ty_Ordering) -> new_esEs13(yu300, yu40000)
13.22/5.02	   new_esEs25(yu300, yu40000, ty_Integer) -> new_esEs12(yu300, yu40000)
13.22/5.02	   new_esEs19(yu300, yu40000, app(app(ty_@2, de), df)) -> new_esEs9(yu300, yu40000, de, df)
13.22/5.02	   new_esEs19(yu300, yu40000, app(ty_Maybe, eb)) -> new_esEs5(yu300, yu40000, eb)
13.22/5.02	   new_esEs24(yu301, yu40001, ty_@0) -> new_esEs11(yu301, yu40001)
13.22/5.02	   new_esEs8(@3(yu300, yu301, yu302), @3(yu40000, yu40001, yu40002), ec, ed, ee) -> new_asAs(new_esEs20(yu300, yu40000, ec), new_asAs(new_esEs21(yu301, yu40001, ed), new_esEs22(yu302, yu40002, ee)))
13.22/5.02	   new_esEs20(yu300, yu40000, ty_Bool) -> new_esEs14(yu300, yu40000)
13.22/5.02	   new_esEs18(yu30, yu4000) -> new_primEqInt(yu30, yu4000)
13.22/5.02	   new_esEs7(Float(yu300, yu301), Float(yu40000, yu40001)) -> new_esEs18(new_sr(yu300, yu40001), new_sr(yu301, yu40000))
13.22/5.02	   new_asAs(True, yu28) -> yu28
13.22/5.02	   new_esEs4(yu30, yu4000, ty_Integer) -> new_esEs12(yu30, yu4000)
13.22/5.02	   new_esEs20(yu300, yu40000, app(app(ty_@2, fb), fc)) -> new_esEs9(yu300, yu40000, fb, fc)
13.22/5.02	   new_esEs24(yu301, yu40001, app(app(ty_Either, bfe), bff)) -> new_esEs15(yu301, yu40001, bfe, bff)
13.22/5.02	   new_esEs15(Right(yu300), Right(yu40000), bbh, app(app(app(ty_@3, bcb), bcc), bcd)) -> new_esEs8(yu300, yu40000, bcb, bcc, bcd)
13.22/5.02	   new_esEs5(Just(yu300), Just(yu40000), app(app(ty_Either, cc), cd)) -> new_esEs15(yu300, yu40000, cc, cd)
13.22/5.02	   new_primEqInt(Pos(Succ(yu3000)), Pos(Zero)) -> False
13.22/5.02	   new_primEqInt(Pos(Zero), Pos(Succ(yu400000))) -> False
13.22/5.02	   new_esEs10(Double(yu300, yu301), Double(yu40000, yu40001)) -> new_esEs18(new_sr(yu300, yu40001), new_sr(yu301, yu40000))
13.22/5.02	   new_esEs20(yu300, yu40000, app(ty_Maybe, fh)) -> new_esEs5(yu300, yu40000, fh)
13.22/5.02	   new_esEs4(yu30, yu4000, ty_Char) -> new_esEs17(yu30, yu4000)
13.22/5.02	   new_esEs19(yu300, yu40000, ty_Char) -> new_esEs17(yu300, yu40000)
13.22/5.02	   new_esEs23(yu300, yu40000, app(app(ty_@2, bea), beb)) -> new_esEs9(yu300, yu40000, bea, beb)
13.22/5.02	   new_esEs5(Just(yu300), Just(yu40000), ty_@0) -> new_esEs11(yu300, yu40000)
13.22/5.02	   new_esEs23(yu300, yu40000, ty_Float) -> new_esEs7(yu300, yu40000)
13.22/5.02	   new_primEqNat0(Succ(yu3000), Succ(yu400000)) -> new_primEqNat0(yu3000, yu400000)
13.22/5.02	   new_esEs21(yu301, yu40001, ty_Ordering) -> new_esEs13(yu301, yu40001)
13.22/5.02	   new_esEs15(Right(yu300), Right(yu40000), bbh, ty_Int) -> new_esEs18(yu300, yu40000)
13.22/5.02	   new_esEs19(yu300, yu40000, ty_Bool) -> new_esEs14(yu300, yu40000)
13.22/5.02	   new_esEs21(yu301, yu40001, app(ty_Ratio, ga)) -> new_esEs6(yu301, yu40001, ga)
13.22/5.02	   new_esEs9(@2(yu300, yu301), @2(yu40000, yu40001), bdc, bdd) -> new_asAs(new_esEs23(yu300, yu40000, bdc), new_esEs24(yu301, yu40001, bdd))
13.22/5.02	   new_esEs4(yu30, yu4000, ty_Bool) -> new_esEs14(yu30, yu4000)
13.22/5.02	   new_esEs22(yu302, yu40002, ty_@0) -> new_esEs11(yu302, yu40002)
13.22/5.02	   new_esEs24(yu301, yu40001, ty_Double) -> new_esEs10(yu301, yu40001)
13.22/5.02	   new_esEs17(Char(yu300), Char(yu40000)) -> new_primEqNat0(yu300, yu40000)
13.22/5.02	   new_primMulNat0(Zero, Zero) -> Zero
13.22/5.02	   new_esEs15(Left(yu300), Left(yu40000), ty_Ordering, baf) -> new_esEs13(yu300, yu40000)
13.22/5.02	   new_esEs24(yu301, yu40001, ty_Int) -> new_esEs18(yu301, yu40001)
13.22/5.02	   new_esEs4(yu30, yu4000, ty_Int) -> new_esEs18(yu30, yu4000)
13.22/5.02	   new_esEs21(yu301, yu40001, app(app(app(ty_@3, gb), gc), gd)) -> new_esEs8(yu301, yu40001, gb, gc, gd)
13.22/5.02	   new_esEs24(yu301, yu40001, app(ty_[], bfg)) -> new_esEs16(yu301, yu40001, bfg)
13.22/5.02	   new_esEs24(yu301, yu40001, app(ty_Maybe, bfh)) -> new_esEs5(yu301, yu40001, bfh)
13.22/5.02	   new_esEs20(yu300, yu40000, app(ty_Ratio, ef)) -> new_esEs6(yu300, yu40000, ef)
13.22/5.02	   new_esEs15(Left(yu300), Left(yu40000), app(app(ty_Either, bbd), bbe), baf) -> new_esEs15(yu300, yu40000, bbd, bbe)
13.22/5.02	   new_esEs15(Right(yu300), Right(yu40000), bbh, ty_Integer) -> new_esEs12(yu300, yu40000)
13.22/5.02	   new_primEqNat0(Succ(yu3000), Zero) -> False
13.22/5.02	   new_primEqNat0(Zero, Succ(yu400000)) -> False
13.22/5.02	   new_esEs12(Integer(yu300), Integer(yu40000)) -> new_primEqInt(yu300, yu40000)
13.22/5.02	   new_esEs20(yu300, yu40000, ty_Float) -> new_esEs7(yu300, yu40000)
13.22/5.02	   new_esEs23(yu300, yu40000, ty_Int) -> new_esEs18(yu300, yu40000)
13.22/5.02	   new_esEs19(yu300, yu40000, app(app(ty_Either, dg), dh)) -> new_esEs15(yu300, yu40000, dg, dh)
13.22/5.02	   new_esEs22(yu302, yu40002, app(app(app(ty_@3, hd), he), hf)) -> new_esEs8(yu302, yu40002, hd, he, hf)
13.22/5.02	   new_esEs23(yu300, yu40000, ty_Bool) -> new_esEs14(yu300, yu40000)
13.22/5.02	   new_esEs14(False, True) -> False
13.22/5.02	   new_esEs14(True, False) -> False
13.22/5.02	   new_esEs24(yu301, yu40001, ty_Float) -> new_esEs7(yu301, yu40001)
13.22/5.02	   new_esEs13(LT, LT) -> True
13.22/5.02	   new_esEs20(yu300, yu40000, app(app(ty_Either, fd), ff)) -> new_esEs15(yu300, yu40000, fd, ff)
13.22/5.02	   new_esEs15(Left(yu300), Left(yu40000), ty_Char, baf) -> new_esEs17(yu300, yu40000)
13.22/5.02	   new_esEs22(yu302, yu40002, ty_Ordering) -> new_esEs13(yu302, yu40002)
13.22/5.02	   new_esEs23(yu300, yu40000, ty_Integer) -> new_esEs12(yu300, yu40000)
13.22/5.02	   new_esEs6(:%(yu300, yu301), :%(yu40000, yu40001), bga) -> new_asAs(new_esEs25(yu300, yu40000, bga), new_esEs26(yu301, yu40001, bga))
13.22/5.02	   new_primEqInt(Neg(Succ(yu3000)), Neg(Zero)) -> False
13.22/5.02	   new_primEqInt(Neg(Zero), Neg(Succ(yu400000))) -> False
13.22/5.02	   new_primEqInt(Pos(Succ(yu3000)), Pos(Succ(yu400000))) -> new_primEqNat0(yu3000, yu400000)
13.22/5.02	   new_esEs15(Left(yu300), Left(yu40000), app(app(app(ty_@3, bag), bah), bba), baf) -> new_esEs8(yu300, yu40000, bag, bah, bba)
13.22/5.02	   new_esEs15(Right(yu300), Right(yu40000), bbh, ty_Ordering) -> new_esEs13(yu300, yu40000)
13.22/5.02	   new_esEs24(yu301, yu40001, app(app(ty_@2, bfc), bfd)) -> new_esEs9(yu301, yu40001, bfc, bfd)
13.22/5.02	   new_esEs20(yu300, yu40000, app(ty_[], fg)) -> new_esEs16(yu300, yu40000, fg)
13.22/5.02	   new_esEs24(yu301, yu40001, ty_Bool) -> new_esEs14(yu301, yu40001)
13.22/5.02	   new_sr(Pos(yu3000), Neg(yu400010)) -> Neg(new_primMulNat0(yu3000, yu400010))
13.22/5.02	   new_sr(Neg(yu3000), Pos(yu400010)) -> Neg(new_primMulNat0(yu3000, yu400010))
13.22/5.02	   new_esEs21(yu301, yu40001, ty_Char) -> new_esEs17(yu301, yu40001)
13.22/5.02	   new_primPlusNat1(Succ(yu2900), Succ(yu40001000)) -> Succ(Succ(new_primPlusNat1(yu2900, yu40001000)))
13.22/5.02	   new_esEs4(yu30, yu4000, ty_Ordering) -> new_esEs13(yu30, yu4000)
13.22/5.02	   new_primEqInt(Pos(Succ(yu3000)), Neg(yu40000)) -> False
13.22/5.02	   new_primEqInt(Neg(Succ(yu3000)), Pos(yu40000)) -> False
13.22/5.02	   new_esEs14(False, False) -> True
13.22/5.02	   new_esEs19(yu300, yu40000, app(ty_[], ea)) -> new_esEs16(yu300, yu40000, ea)
13.22/5.02	   new_esEs13(LT, GT) -> False
13.22/5.02	   new_esEs13(GT, LT) -> False
13.22/5.02	   new_esEs19(yu300, yu40000, app(ty_Ratio, da)) -> new_esEs6(yu300, yu40000, da)
13.22/5.02	   new_esEs15(Right(yu300), Right(yu40000), bbh, app(app(ty_@2, bce), bcf)) -> new_esEs9(yu300, yu40000, bce, bcf)
13.22/5.02	   new_esEs26(yu301, yu40001, ty_Integer) -> new_esEs12(yu301, yu40001)
13.22/5.02	   new_esEs15(Right(yu300), Right(yu40000), bbh, ty_@0) -> new_esEs11(yu300, yu40000)
13.22/5.02	   new_esEs23(yu300, yu40000, ty_Double) -> new_esEs10(yu300, yu40000)
13.22/5.02	   new_sr(Neg(yu3000), Neg(yu400010)) -> Pos(new_primMulNat0(yu3000, yu400010))
13.22/5.02	   new_esEs19(yu300, yu40000, app(app(app(ty_@3, db), dc), dd)) -> new_esEs8(yu300, yu40000, db, dc, dd)
13.22/5.02	   new_esEs4(yu30, yu4000, ty_Double) -> new_esEs10(yu30, yu4000)
13.22/5.02	   new_esEs4(yu30, yu4000, ty_@0) -> new_esEs11(yu30, yu4000)
13.22/5.02	   new_esEs23(yu300, yu40000, ty_@0) -> new_esEs11(yu300, yu40000)
13.22/5.02	   new_esEs15(Right(yu300), Right(yu40000), bbh, ty_Double) -> new_esEs10(yu300, yu40000)
13.22/5.02	   new_esEs20(yu300, yu40000, ty_Int) -> new_esEs18(yu300, yu40000)
13.22/5.02	   new_esEs15(Left(yu300), Left(yu40000), app(ty_Ratio, bae), baf) -> new_esEs6(yu300, yu40000, bae)
13.22/5.02	   new_esEs4(yu30, yu4000, app(app(app(ty_@3, ec), ed), ee)) -> new_esEs8(yu30, yu4000, ec, ed, ee)
13.22/5.02	   new_esEs21(yu301, yu40001, app(app(ty_Either, gg), gh)) -> new_esEs15(yu301, yu40001, gg, gh)
13.22/5.02	   new_esEs13(GT, GT) -> True
13.22/5.02	   new_esEs5(Just(yu300), Just(yu40000), app(ty_Ratio, be)) -> new_esEs6(yu300, yu40000, be)
13.22/5.02	   new_esEs5(Just(yu300), Just(yu40000), ty_Ordering) -> new_esEs13(yu300, yu40000)
13.22/5.02	   new_esEs22(yu302, yu40002, ty_Char) -> new_esEs17(yu302, yu40002)
13.22/5.02	   new_primEqInt(Pos(Zero), Neg(Succ(yu400000))) -> False
13.22/5.02	   new_primEqInt(Neg(Zero), Pos(Succ(yu400000))) -> False
13.22/5.02	   new_esEs5(Just(yu300), Just(yu40000), ty_Char) -> new_esEs17(yu300, yu40000)
13.22/5.02	   new_esEs4(yu30, yu4000, app(app(ty_Either, bbh), baf)) -> new_esEs15(yu30, yu4000, bbh, baf)
13.22/5.02	   new_esEs21(yu301, yu40001, app(ty_Maybe, hb)) -> new_esEs5(yu301, yu40001, hb)
13.22/5.02	   new_esEs21(yu301, yu40001, ty_Double) -> new_esEs10(yu301, yu40001)
13.22/5.02	   new_esEs5(Nothing, Nothing, bd) -> True
13.22/5.02	   new_esEs20(yu300, yu40000, ty_Char) -> new_esEs17(yu300, yu40000)
13.22/5.02	   new_esEs19(yu300, yu40000, ty_Int) -> new_esEs18(yu300, yu40000)
13.22/5.02	   new_primEqInt(Neg(Succ(yu3000)), Neg(Succ(yu400000))) -> new_primEqNat0(yu3000, yu400000)
13.22/5.02	   new_esEs5(Nothing, Just(yu40000), bd) -> False
13.22/5.02	   new_esEs5(Just(yu300), Nothing, bd) -> False
13.22/5.02	   new_esEs24(yu301, yu40001, ty_Integer) -> new_esEs12(yu301, yu40001)
13.22/5.02	   new_esEs15(Left(yu300), Left(yu40000), ty_Double, baf) -> new_esEs10(yu300, yu40000)
13.22/5.02	   new_esEs5(Just(yu300), Just(yu40000), ty_Bool) -> new_esEs14(yu300, yu40000)
13.22/5.02	   new_esEs16(:(yu300, yu301), :(yu40000, yu40001), cg) -> new_asAs(new_esEs19(yu300, yu40000, cg), new_esEs16(yu301, yu40001, cg))
13.22/5.02	   new_primPlusNat0(Succ(yu290), yu4000100) -> Succ(Succ(new_primPlusNat1(yu290, yu4000100)))
13.22/5.02	   new_esEs23(yu300, yu40000, app(app(app(ty_@3, bdf), bdg), bdh)) -> new_esEs8(yu300, yu40000, bdf, bdg, bdh)
13.22/5.02	   new_esEs24(yu301, yu40001, app(ty_Ratio, beg)) -> new_esEs6(yu301, yu40001, beg)
13.22/5.02	   new_esEs13(EQ, GT) -> False
13.22/5.02	   new_esEs13(GT, EQ) -> False
13.22/5.02	   new_esEs19(yu300, yu40000, ty_@0) -> new_esEs11(yu300, yu40000)
13.22/5.02	   new_esEs15(Left(yu300), Left(yu40000), ty_@0, baf) -> new_esEs11(yu300, yu40000)
13.22/5.02	   new_esEs22(yu302, yu40002, ty_Integer) -> new_esEs12(yu302, yu40002)
13.22/5.02	   new_esEs25(yu300, yu40000, ty_Int) -> new_esEs18(yu300, yu40000)
13.22/5.02	   new_primPlusNat1(Zero, Zero) -> Zero
13.22/5.02	   new_esEs22(yu302, yu40002, ty_Int) -> new_esEs18(yu302, yu40002)
13.22/5.02	   new_esEs15(Left(yu300), Left(yu40000), ty_Integer, baf) -> new_esEs12(yu300, yu40000)
13.22/5.02	   new_primMulNat0(Succ(yu30000), Zero) -> Zero
13.22/5.02	   new_primMulNat0(Zero, Succ(yu4000100)) -> Zero
13.22/5.02	   new_sr(Pos(yu3000), Pos(yu400010)) -> Pos(new_primMulNat0(yu3000, yu400010))
13.22/5.02	   new_primPlusNat0(Zero, yu4000100) -> Succ(yu4000100)
13.22/5.02	   new_esEs24(yu301, yu40001, ty_Ordering) -> new_esEs13(yu301, yu40001)
13.22/5.02	   new_esEs5(Just(yu300), Just(yu40000), ty_Integer) -> new_esEs12(yu300, yu40000)
13.22/5.02	   new_esEs15(Right(yu300), Right(yu40000), bbh, app(ty_[], bda)) -> new_esEs16(yu300, yu40000, bda)
13.22/5.02	   new_esEs23(yu300, yu40000, app(ty_Maybe, bef)) -> new_esEs5(yu300, yu40000, bef)
13.22/5.02	   new_esEs21(yu301, yu40001, app(ty_[], ha)) -> new_esEs16(yu301, yu40001, ha)
13.22/5.02	   new_esEs20(yu300, yu40000, app(app(app(ty_@3, eg), eh), fa)) -> new_esEs8(yu300, yu40000, eg, eh, fa)
13.22/5.02	   new_esEs15(Right(yu300), Right(yu40000), bbh, app(ty_Ratio, bca)) -> new_esEs6(yu300, yu40000, bca)
13.22/5.02	   new_esEs21(yu301, yu40001, ty_Integer) -> new_esEs12(yu301, yu40001)
13.22/5.02	   new_esEs15(Right(yu300), Right(yu40000), bbh, ty_Bool) -> new_esEs14(yu300, yu40000)
13.22/5.02	   new_esEs22(yu302, yu40002, ty_Float) -> new_esEs7(yu302, yu40002)
13.22/5.02	   new_primEqInt(Neg(Zero), Neg(Zero)) -> True
13.22/5.02	   new_esEs20(yu300, yu40000, ty_Ordering) -> new_esEs13(yu300, yu40000)
13.22/5.02	   new_primMulNat0(Succ(yu30000), Succ(yu4000100)) -> new_primPlusNat0(new_primMulNat0(yu30000, Succ(yu4000100)), yu4000100)
13.22/5.02	   new_esEs15(Left(yu300), Left(yu40000), app(ty_[], bbf), baf) -> new_esEs16(yu300, yu40000, bbf)
13.22/5.02	   new_esEs15(Right(yu300), Right(yu40000), bbh, app(app(ty_Either, bcg), bch)) -> new_esEs15(yu300, yu40000, bcg, bch)
13.22/5.02	   new_esEs22(yu302, yu40002, ty_Bool) -> new_esEs14(yu302, yu40002)
13.22/5.02	   new_esEs15(Left(yu300), Left(yu40000), app(ty_Maybe, bbg), baf) -> new_esEs5(yu300, yu40000, bbg)
13.22/5.02	   new_esEs5(Just(yu300), Just(yu40000), ty_Int) -> new_esEs18(yu300, yu40000)
13.22/5.02	   new_esEs22(yu302, yu40002, app(app(ty_@2, hg), hh)) -> new_esEs9(yu302, yu40002, hg, hh)
13.22/5.02	   new_esEs15(Right(yu300), Right(yu40000), bbh, ty_Float) -> new_esEs7(yu300, yu40000)
13.22/5.02	   new_esEs22(yu302, yu40002, app(ty_Ratio, hc)) -> new_esEs6(yu302, yu40002, hc)
13.22/5.02	   new_esEs20(yu300, yu40000, ty_Integer) -> new_esEs12(yu300, yu40000)
13.22/5.02	   new_primPlusNat1(Succ(yu2900), Zero) -> Succ(yu2900)
13.22/5.02	   new_primPlusNat1(Zero, Succ(yu40001000)) -> Succ(yu40001000)
13.22/5.02	   new_esEs21(yu301, yu40001, ty_Float) -> new_esEs7(yu301, yu40001)
13.22/5.02	   new_esEs16(:(yu300, yu301), [], cg) -> False
13.22/5.02	   new_esEs16([], :(yu40000, yu40001), cg) -> False
13.22/5.02	   new_esEs5(Just(yu300), Just(yu40000), app(ty_[], ce)) -> new_esEs16(yu300, yu40000, ce)
13.22/5.02	   new_esEs23(yu300, yu40000, app(ty_[], bee)) -> new_esEs16(yu300, yu40000, bee)
13.22/5.02	   new_esEs11(@0, @0) -> True
13.22/5.02	   new_esEs20(yu300, yu40000, ty_@0) -> new_esEs11(yu300, yu40000)
13.22/5.02	   new_primEqInt(Pos(Zero), Neg(Zero)) -> True
13.22/5.02	   new_primEqInt(Neg(Zero), Pos(Zero)) -> True
13.22/5.02	   new_esEs21(yu301, yu40001, app(app(ty_@2, ge), gf)) -> new_esEs9(yu301, yu40001, ge, gf)
13.22/5.02	   new_esEs4(yu30, yu4000, app(ty_Maybe, bd)) -> new_esEs5(yu30, yu4000, bd)
13.22/5.02	   new_esEs15(Left(yu300), Left(yu40000), ty_Bool, baf) -> new_esEs14(yu300, yu40000)
13.22/5.02	   new_esEs4(yu30, yu4000, app(app(ty_@2, bdc), bdd)) -> new_esEs9(yu30, yu4000, bdc, bdd)
13.22/5.02	   new_esEs15(Right(yu300), Right(yu40000), bbh, app(ty_Maybe, bdb)) -> new_esEs5(yu300, yu40000, bdb)
13.22/5.02	   new_esEs23(yu300, yu40000, app(ty_Ratio, bde)) -> new_esEs6(yu300, yu40000, bde)
13.22/5.02	   new_esEs26(yu301, yu40001, ty_Int) -> new_esEs18(yu301, yu40001)
13.22/5.02	   new_esEs16([], [], cg) -> True
13.22/5.02	   new_primEqNat0(Zero, Zero) -> True
13.22/5.02	   new_esEs21(yu301, yu40001, ty_Int) -> new_esEs18(yu301, yu40001)
13.22/5.02	   new_esEs5(Just(yu300), Just(yu40000), app(app(ty_@2, ca), cb)) -> new_esEs9(yu300, yu40000, ca, cb)
13.22/5.02	   new_esEs4(yu30, yu4000, ty_Float) -> new_esEs7(yu30, yu4000)
13.22/5.02	   new_esEs19(yu300, yu40000, ty_Double) -> new_esEs10(yu300, yu40000)
13.22/5.02	   new_esEs14(True, True) -> True
13.22/5.02	   new_esEs15(Left(yu300), Left(yu40000), app(app(ty_@2, bbb), bbc), baf) -> new_esEs9(yu300, yu40000, bbb, bbc)
13.22/5.02	   new_esEs13(EQ, EQ) -> True
13.22/5.02	   new_asAs(False, yu28) -> False
13.22/5.02	   new_esEs22(yu302, yu40002, app(ty_[], bac)) -> new_esEs16(yu302, yu40002, bac)
13.22/5.02	   new_esEs21(yu301, yu40001, ty_@0) -> new_esEs11(yu301, yu40001)
13.22/5.02	   new_esEs22(yu302, yu40002, app(ty_Maybe, bad)) -> new_esEs5(yu302, yu40002, bad)
13.22/5.02	   new_esEs13(LT, EQ) -> False
13.22/5.02	   new_esEs13(EQ, LT) -> False
13.22/5.02	   new_esEs21(yu301, yu40001, ty_Bool) -> new_esEs14(yu301, yu40001)
13.22/5.02	   new_esEs24(yu301, yu40001, app(app(app(ty_@3, beh), bfa), bfb)) -> new_esEs8(yu301, yu40001, beh, bfa, bfb)
13.22/5.02	   new_esEs19(yu300, yu40000, ty_Ordering) -> new_esEs13(yu300, yu40000)
13.22/5.02	   new_esEs15(Left(yu300), Left(yu40000), ty_Float, baf) -> new_esEs7(yu300, yu40000)
13.22/5.02	   new_esEs5(Just(yu300), Just(yu40000), app(ty_Maybe, cf)) -> new_esEs5(yu300, yu40000, cf)
13.22/5.02	   new_esEs4(yu30, yu4000, app(ty_Ratio, bga)) -> new_esEs6(yu30, yu4000, bga)
13.22/5.02	   new_esEs23(yu300, yu40000, app(app(ty_Either, bec), bed)) -> new_esEs15(yu300, yu40000, bec, bed)
13.22/5.02	   new_esEs24(yu301, yu40001, ty_Char) -> new_esEs17(yu301, yu40001)
13.22/5.02	   new_esEs20(yu300, yu40000, ty_Double) -> new_esEs10(yu300, yu40000)
13.22/5.02	   new_esEs4(yu30, yu4000, app(ty_[], cg)) -> new_esEs16(yu30, yu4000, cg)
13.22/5.02	   new_esEs5(Just(yu300), Just(yu40000), ty_Float) -> new_esEs7(yu300, yu40000)
13.22/5.02	
13.22/5.02	The set Q consists of the following terms:
13.22/5.02	
13.22/5.02	   new_esEs22(x0, x1, app(app(ty_@2, x2), x3))
13.22/5.02	   new_esEs15(Left(x0), Left(x1), app(app(app(ty_@3, x2), x3), x4), x5)
13.22/5.02	   new_primPlusNat0(Succ(x0), x1)
13.22/5.02	   new_esEs5(Just(x0), Just(x1), ty_Double)
13.22/5.02	   new_esEs21(x0, x1, app(ty_Ratio, x2))
13.22/5.02	   new_esEs13(EQ, EQ)
13.22/5.02	   new_esEs5(Just(x0), Just(x1), ty_Float)
13.22/5.02	   new_esEs22(x0, x1, ty_Int)
13.22/5.02	   new_esEs25(x0, x1, ty_Integer)
13.22/5.02	   new_esEs15(Left(x0), Left(x1), app(app(ty_@2, x2), x3), x4)
13.22/5.02	   new_esEs17(Char(x0), Char(x1))
13.22/5.02	   new_asAs(False, x0)
13.22/5.02	   new_esEs23(x0, x1, ty_Integer)
13.22/5.02	   new_primMulNat0(Zero, Zero)
13.22/5.02	   new_esEs19(x0, x1, app(ty_Ratio, x2))
13.22/5.02	   new_esEs4(x0, x1, app(app(app(ty_@3, x2), x3), x4))
13.22/5.02	   new_primPlusNat1(Zero, Zero)
13.22/5.02	   new_primEqInt(Pos(Succ(x0)), Pos(Zero))
13.22/5.02	   new_esEs21(x0, x1, ty_Double)
13.22/5.02	   new_esEs23(x0, x1, app(ty_Ratio, x2))
13.22/5.02	   new_esEs24(x0, x1, ty_Double)
13.22/5.02	   new_esEs4(x0, x1, ty_Ordering)
13.22/5.02	   new_esEs21(x0, x1, app(app(ty_Either, x2), x3))
13.22/5.02	   new_esEs15(Right(x0), Right(x1), x2, app(ty_Ratio, x3))
13.22/5.02	   new_esEs24(x0, x1, ty_Float)
13.22/5.02	   new_esEs4(x0, x1, app(app(ty_Either, x2), x3))
13.22/5.02	   new_esEs22(x0, x1, app(app(ty_Either, x2), x3))
13.22/5.02	   new_primEqInt(Pos(Zero), Pos(Zero))
13.22/5.02	   new_esEs24(x0, x1, app(app(ty_Either, x2), x3))
13.22/5.02	   new_esEs12(Integer(x0), Integer(x1))
13.22/5.02	   new_esEs4(x0, x1, app(ty_[], x2))
13.22/5.02	   new_esEs5(Just(x0), Just(x1), app(ty_Ratio, x2))
13.22/5.02	   new_esEs15(Left(x0), Right(x1), x2, x3)
13.22/5.02	   new_esEs15(Right(x0), Left(x1), x2, x3)
13.22/5.02	   new_esEs5(Just(x0), Just(x1), ty_Int)
13.22/5.02	   new_esEs20(x0, x1, ty_Integer)
13.22/5.02	   new_esEs21(x0, x1, app(app(app(ty_@3, x2), x3), x4))
13.22/5.02	   new_esEs16([], :(x0, x1), x2)
13.22/5.02	   new_esEs16(:(x0, x1), :(x2, x3), x4)
13.22/5.02	   new_esEs22(x0, x1, ty_Ordering)
13.22/5.02	   new_esEs5(Just(x0), Just(x1), ty_Ordering)
13.22/5.02	   new_esEs14(True, True)
13.22/5.02	   new_esEs21(x0, x1, ty_Float)
13.22/5.02	   new_esEs13(LT, LT)
13.22/5.02	   new_esEs4(x0, x1, ty_Float)
13.22/5.02	   new_esEs15(Right(x0), Right(x1), x2, app(app(app(ty_@3, x3), x4), x5))
13.22/5.02	   new_esEs21(x0, x1, ty_Ordering)
13.22/5.02	   new_esEs15(Left(x0), Left(x1), ty_Integer, x2)
13.22/5.02	   new_primEqInt(Neg(Zero), Neg(Zero))
13.22/5.02	   new_esEs24(x0, x1, ty_Ordering)
13.22/5.02	   new_esEs22(x0, x1, ty_Float)
13.22/5.02	   new_esEs20(x0, x1, ty_Ordering)
13.22/5.02	   new_esEs24(x0, x1, app(ty_Maybe, x2))
13.22/5.02	   new_esEs19(x0, x1, app(app(ty_Either, x2), x3))
13.22/5.02	   new_esEs5(Just(x0), Just(x1), app(app(ty_Either, x2), x3))
13.22/5.02	   new_esEs23(x0, x1, ty_Double)
13.22/5.02	   new_primPlusNat1(Succ(x0), Zero)
13.22/5.02	   new_esEs22(x0, x1, app(ty_[], x2))
13.22/5.02	   new_esEs7(Float(x0, x1), Float(x2, x3))
13.22/5.02	   new_esEs19(x0, x1, ty_Ordering)
13.22/5.02	   new_esEs15(Right(x0), Right(x1), x2, ty_Ordering)
13.22/5.02	   new_esEs21(x0, x1, app(app(ty_@2, x2), x3))
13.22/5.02	   new_esEs23(x0, x1, ty_Bool)
13.22/5.02	   new_esEs14(False, True)
13.22/5.02	   new_esEs14(True, False)
13.22/5.02	   new_esEs9(@2(x0, x1), @2(x2, x3), x4, x5)
13.22/5.02	   new_esEs15(Right(x0), Right(x1), x2, app(ty_Maybe, x3))
13.22/5.02	   new_esEs5(Just(x0), Just(x1), app(app(ty_@2, x2), x3))
13.22/5.02	   new_esEs23(x0, x1, app(app(ty_Either, x2), x3))
13.22/5.02	   new_esEs4(x0, x1, app(app(ty_@2, x2), x3))
13.22/5.02	   new_esEs23(x0, x1, app(ty_Maybe, x2))
13.22/5.02	   new_esEs20(x0, x1, ty_Double)
13.22/5.02	   new_primEqInt(Pos(Succ(x0)), Neg(x1))
13.22/5.02	   new_primEqInt(Neg(Succ(x0)), Pos(x1))
13.22/5.02	   new_esEs22(x0, x1, ty_Double)
13.22/5.02	   new_primEqInt(Pos(Zero), Neg(Zero))
13.22/5.02	   new_primEqInt(Neg(Zero), Pos(Zero))
13.22/5.02	   new_esEs22(x0, x1, ty_Char)
13.22/5.02	   new_esEs21(x0, x1, app(ty_[], x2))
13.22/5.02	   new_esEs8(@3(x0, x1, x2), @3(x3, x4, x5), x6, x7, x8)
13.22/5.02	   new_sr(Pos(x0), Neg(x1))
13.22/5.02	   new_sr(Neg(x0), Pos(x1))
13.22/5.02	   new_esEs10(Double(x0, x1), Double(x2, x3))
13.22/5.02	   new_esEs20(x0, x1, app(ty_Maybe, x2))
13.22/5.02	   new_esEs23(x0, x1, app(app(app(ty_@3, x2), x3), x4))
13.22/5.02	   new_esEs26(x0, x1, ty_Integer)
13.22/5.02	   new_esEs22(x0, x1, app(ty_Ratio, x2))
13.22/5.02	   new_esEs20(x0, x1, ty_Bool)
13.22/5.02	   new_esEs15(Left(x0), Left(x1), app(ty_[], x2), x3)
13.22/5.02	   new_esEs16(:(x0, x1), [], x2)
13.22/5.02	   new_primEqInt(Neg(Succ(x0)), Neg(Zero))
13.22/5.02	   new_esEs5(Just(x0), Nothing, x1)
13.22/5.02	   new_esEs5(Just(x0), Just(x1), app(ty_Maybe, x2))
13.22/5.02	   new_primMulNat0(Succ(x0), Zero)
13.22/5.02	   new_esEs22(x0, x1, ty_Bool)
13.22/5.02	   new_esEs5(Nothing, Just(x0), x1)
13.22/5.02	   new_primEqInt(Pos(Zero), Neg(Succ(x0)))
13.22/5.02	   new_primEqInt(Neg(Zero), Pos(Succ(x0)))
13.22/5.02	   new_esEs4(x0, x1, ty_@0)
13.22/5.02	   new_esEs20(x0, x1, app(app(app(ty_@3, x2), x3), x4))
13.22/5.02	   new_esEs22(x0, x1, app(ty_Maybe, x2))
13.22/5.02	   new_esEs21(x0, x1, ty_@0)
13.22/5.02	   new_esEs5(Just(x0), Just(x1), ty_Bool)
13.22/5.02	   new_esEs23(x0, x1, ty_Char)
13.22/5.02	   new_esEs15(Left(x0), Left(x1), ty_Char, x2)
13.22/5.02	   new_esEs15(Left(x0), Left(x1), app(ty_Ratio, x2), x3)
13.22/5.02	   new_esEs25(x0, x1, ty_Int)
13.22/5.02	   new_esEs4(x0, x1, ty_Bool)
13.22/5.02	   new_esEs15(Left(x0), Left(x1), ty_Int, x2)
13.22/5.02	   new_primMulNat0(Succ(x0), Succ(x1))
13.22/5.02	   new_esEs5(Just(x0), Just(x1), app(ty_[], x2))
13.22/5.02	   new_esEs20(x0, x1, app(app(ty_Either, x2), x3))
13.22/5.02	   new_esEs19(x0, x1, app(ty_Maybe, x2))
13.22/5.02	   new_primEqNat0(Succ(x0), Succ(x1))
13.22/5.02	   new_primEqInt(Pos(Succ(x0)), Pos(Succ(x1)))
13.22/5.02	   new_esEs15(Right(x0), Right(x1), x2, ty_Integer)
13.22/5.02	   new_esEs13(LT, GT)
13.22/5.02	   new_esEs13(GT, LT)
13.22/5.02	   new_esEs24(x0, x1, app(ty_[], x2))
13.22/5.02	   new_primEqNat0(Succ(x0), Zero)
13.22/5.02	   new_esEs20(x0, x1, ty_Char)
13.22/5.02	   new_primEqInt(Pos(Zero), Pos(Succ(x0)))
13.22/5.02	   new_esEs24(x0, x1, app(app(ty_@2, x2), x3))
13.22/5.02	   new_esEs21(x0, x1, app(ty_Maybe, x2))
13.22/5.02	   new_esEs19(x0, x1, app(ty_[], x2))
13.22/5.02	   new_esEs19(x0, x1, ty_Integer)
13.22/5.02	   new_esEs19(x0, x1, app(app(ty_@2, x2), x3))
13.22/5.02	   new_esEs20(x0, x1, ty_Int)
13.22/5.02	   new_esEs22(x0, x1, ty_@0)
13.22/5.02	   new_esEs11(@0, @0)
13.22/5.02	   new_esEs15(Left(x0), Left(x1), ty_Ordering, x2)
13.22/5.02	   new_esEs22(x0, x1, ty_Integer)
13.22/5.02	   new_esEs15(Left(x0), Left(x1), ty_Float, x2)
13.22/5.02	   new_primEqNat0(Zero, Succ(x0))
13.22/5.02	   new_esEs15(Right(x0), Right(x1), x2, app(ty_[], x3))
13.22/5.02	   new_esEs4(x0, x1, ty_Integer)
13.22/5.02	   new_esEs23(x0, x1, ty_Ordering)
13.22/5.02	   new_esEs23(x0, x1, app(app(ty_@2, x2), x3))
13.22/5.02	   new_esEs4(x0, x1, app(ty_Maybe, x2))
13.22/5.02	   new_esEs20(x0, x1, ty_@0)
13.22/5.02	   new_esEs23(x0, x1, ty_Int)
13.22/5.02	   new_esEs5(Just(x0), Just(x1), ty_@0)
13.22/5.02	   new_esEs24(x0, x1, ty_@0)
13.22/5.02	   new_primEqInt(Neg(Succ(x0)), Neg(Succ(x1)))
13.22/5.02	   new_primMulNat0(Zero, Succ(x0))
13.22/5.02	   new_sr(Pos(x0), Pos(x1))
13.22/5.02	   new_esEs24(x0, x1, ty_Int)
13.22/5.02	   new_esEs15(Right(x0), Right(x1), x2, ty_Bool)
13.22/5.02	   new_primEqNat0(Zero, Zero)
13.22/5.02	   new_esEs15(Left(x0), Left(x1), app(app(ty_Either, x2), x3), x4)
13.22/5.02	   new_esEs21(x0, x1, ty_Char)
13.22/5.02	   new_esEs15(Right(x0), Right(x1), x2, ty_Float)
13.22/5.02	   new_esEs5(Just(x0), Just(x1), ty_Char)
13.22/5.02	   new_esEs24(x0, x1, app(app(app(ty_@3, x2), x3), x4))
13.22/5.02	   new_esEs19(x0, x1, app(app(app(ty_@3, x2), x3), x4))
13.22/5.02	   new_esEs23(x0, x1, ty_Float)
13.22/5.02	   new_primPlusNat1(Succ(x0), Succ(x1))
13.22/5.02	   new_esEs4(x0, x1, ty_Char)
13.22/5.02	   new_esEs23(x0, x1, ty_@0)
13.22/5.02	   new_esEs24(x0, x1, ty_Integer)
13.22/5.02	   new_esEs15(Right(x0), Right(x1), x2, ty_Double)
13.22/5.02	   new_esEs13(EQ, GT)
13.22/5.02	   new_esEs13(GT, EQ)
13.22/5.02	   new_esEs20(x0, x1, app(ty_[], x2))
13.22/5.02	   new_esEs21(x0, x1, ty_Integer)
13.22/5.02	   new_esEs5(Just(x0), Just(x1), app(app(app(ty_@3, x2), x3), x4))
13.22/5.02	   new_esEs15(Left(x0), Left(x1), ty_@0, x2)
13.22/5.02	   new_esEs15(Left(x0), Left(x1), ty_Double, x2)
13.22/5.02	   new_esEs20(x0, x1, ty_Float)
13.22/5.02	   new_esEs5(Just(x0), Just(x1), ty_Integer)
13.22/5.02	   new_esEs19(x0, x1, ty_Float)
13.22/5.02	   new_esEs15(Right(x0), Right(x1), x2, ty_@0)
13.22/5.02	   new_esEs21(x0, x1, ty_Int)
13.22/5.02	   new_sr(Neg(x0), Neg(x1))
13.22/5.02	   new_esEs19(x0, x1, ty_Bool)
13.22/5.02	   new_esEs26(x0, x1, ty_Int)
13.22/5.02	   new_esEs4(x0, x1, ty_Int)
13.22/5.02	   new_esEs24(x0, x1, ty_Char)
13.22/5.02	   new_esEs22(x0, x1, app(app(app(ty_@3, x2), x3), x4))
13.22/5.02	   new_esEs14(False, False)
13.22/5.02	   new_esEs18(x0, x1)
13.22/5.02	   new_esEs15(Left(x0), Left(x1), app(ty_Maybe, x2), x3)
13.22/5.02	   new_esEs6(:%(x0, x1), :%(x2, x3), x4)
13.22/5.02	   new_esEs20(x0, x1, app(ty_Ratio, x2))
13.22/5.02	   new_esEs15(Right(x0), Right(x1), x2, ty_Int)
13.22/5.02	   new_esEs19(x0, x1, ty_@0)
13.22/5.02	   new_esEs5(Nothing, Nothing, x0)
13.22/5.02	   new_esEs15(Right(x0), Right(x1), x2, app(app(ty_Either, x3), x4))
13.22/5.02	   new_esEs24(x0, x1, ty_Bool)
13.22/5.02	   new_esEs19(x0, x1, ty_Int)
13.22/5.02	   new_primPlusNat0(Zero, x0)
13.22/5.02	   new_esEs15(Left(x0), Left(x1), ty_Bool, x2)
13.22/5.02	   new_esEs21(x0, x1, ty_Bool)
13.22/5.02	   new_esEs15(Right(x0), Right(x1), x2, ty_Char)
13.22/5.02	   new_primPlusNat1(Zero, Succ(x0))
13.22/5.02	   new_esEs19(x0, x1, ty_Double)
13.22/5.02	   new_asAs(True, x0)
13.22/5.02	   new_esEs20(x0, x1, app(app(ty_@2, x2), x3))
13.22/5.02	   new_esEs13(GT, GT)
13.22/5.02	   new_esEs13(LT, EQ)
13.22/5.02	   new_esEs13(EQ, LT)
13.22/5.02	   new_esEs4(x0, x1, ty_Double)
13.22/5.02	   new_esEs16([], [], x0)
13.22/5.02	   new_primEqInt(Neg(Zero), Neg(Succ(x0)))
13.22/5.02	   new_esEs24(x0, x1, app(ty_Ratio, x2))
13.22/5.02	   new_esEs4(x0, x1, app(ty_Ratio, x2))
13.22/5.02	   new_esEs19(x0, x1, ty_Char)
13.22/5.02	   new_esEs23(x0, x1, app(ty_[], x2))
13.22/5.02	   new_esEs15(Right(x0), Right(x1), x2, app(app(ty_@2, x3), x4))
13.22/5.02	
13.22/5.02	We have to consider all minimal (P,Q,R)-chains.
13.22/5.02	----------------------------------------
13.22/5.02	
13.22/5.02	(11) QDPSizeChangeProof (EQUIVALENT)
13.22/5.02	By using the subterm criterion [SUBTERM_CRITERION] together with the size-change analysis [AAECC05] we have proven that there are no infinite chains for this DP problem. 
13.22/5.02	
13.22/5.02	From the DPs we obtained the following set of size-change graphs:
13.22/5.02	*new_lookup(Nothing, :(@2(Just(yu4000), yu401), yu41), h, ba) -> new_lookup(Nothing, yu41, h, ba)
13.22/5.02	The graph contains the following edges 1 >= 1, 2 > 2, 3 >= 3, 4 >= 4
13.22/5.02	
13.22/5.02	
13.22/5.02	----------------------------------------
13.22/5.02	
13.22/5.02	(12)
13.22/5.02	YES
13.22/5.02	
13.22/5.02	----------------------------------------
13.22/5.02	
13.22/5.02	(13)
13.22/5.02	Obligation:
13.22/5.02	Q DP problem:
13.22/5.02	The TRS P consists of the following rules:
13.22/5.02	
13.22/5.02	   new_lookup(Just(yu30), :(@2(Just(yu4000), yu401), yu41), h, ba) -> new_lookup1(yu30, yu4000, yu401, yu41, new_esEs4(yu30, yu4000, ba), h, ba)
13.22/5.02	   new_lookup1(yu11, yu12, yu13, yu14, False, bb, bc) -> new_lookup(Just(yu11), yu14, bb, bc)
13.22/5.02	   new_lookup(Just(yu30), :(@2(Nothing, yu401), yu41), h, ba) -> new_lookup(Just(yu30), yu41, h, ba)
13.22/5.02	
13.22/5.02	The TRS R consists of the following rules:
13.22/5.02	
13.22/5.02	   new_primEqInt(Pos(Zero), Pos(Zero)) -> True
13.22/5.02	   new_esEs19(yu300, yu40000, ty_Integer) -> new_esEs12(yu300, yu40000)
13.22/5.02	   new_esEs19(yu300, yu40000, ty_Float) -> new_esEs7(yu300, yu40000)
13.22/5.02	   new_esEs15(Left(yu300), Right(yu40000), bbh, baf) -> False
13.22/5.02	   new_esEs15(Right(yu300), Left(yu40000), bbh, baf) -> False
13.22/5.02	   new_esEs23(yu300, yu40000, ty_Char) -> new_esEs17(yu300, yu40000)
13.22/5.02	   new_esEs22(yu302, yu40002, app(app(ty_Either, baa), bab)) -> new_esEs15(yu302, yu40002, baa, bab)
13.22/5.02	   new_esEs15(Right(yu300), Right(yu40000), bbh, ty_Char) -> new_esEs17(yu300, yu40000)
13.22/5.02	   new_esEs5(Just(yu300), Just(yu40000), app(app(app(ty_@3, bf), bg), bh)) -> new_esEs8(yu300, yu40000, bf, bg, bh)
13.22/5.02	   new_esEs22(yu302, yu40002, ty_Double) -> new_esEs10(yu302, yu40002)
13.22/5.02	   new_esEs15(Left(yu300), Left(yu40000), ty_Int, baf) -> new_esEs18(yu300, yu40000)
13.22/5.02	   new_esEs5(Just(yu300), Just(yu40000), ty_Double) -> new_esEs10(yu300, yu40000)
13.22/5.02	   new_esEs23(yu300, yu40000, ty_Ordering) -> new_esEs13(yu300, yu40000)
13.22/5.02	   new_esEs25(yu300, yu40000, ty_Integer) -> new_esEs12(yu300, yu40000)
13.22/5.02	   new_esEs19(yu300, yu40000, app(app(ty_@2, de), df)) -> new_esEs9(yu300, yu40000, de, df)
13.22/5.02	   new_esEs19(yu300, yu40000, app(ty_Maybe, eb)) -> new_esEs5(yu300, yu40000, eb)
13.22/5.02	   new_esEs24(yu301, yu40001, ty_@0) -> new_esEs11(yu301, yu40001)
13.22/5.02	   new_esEs8(@3(yu300, yu301, yu302), @3(yu40000, yu40001, yu40002), ec, ed, ee) -> new_asAs(new_esEs20(yu300, yu40000, ec), new_asAs(new_esEs21(yu301, yu40001, ed), new_esEs22(yu302, yu40002, ee)))
13.22/5.02	   new_esEs20(yu300, yu40000, ty_Bool) -> new_esEs14(yu300, yu40000)
13.22/5.02	   new_esEs18(yu30, yu4000) -> new_primEqInt(yu30, yu4000)
13.22/5.02	   new_esEs7(Float(yu300, yu301), Float(yu40000, yu40001)) -> new_esEs18(new_sr(yu300, yu40001), new_sr(yu301, yu40000))
13.22/5.02	   new_asAs(True, yu28) -> yu28
13.22/5.02	   new_esEs4(yu30, yu4000, ty_Integer) -> new_esEs12(yu30, yu4000)
13.22/5.02	   new_esEs20(yu300, yu40000, app(app(ty_@2, fb), fc)) -> new_esEs9(yu300, yu40000, fb, fc)
13.22/5.02	   new_esEs24(yu301, yu40001, app(app(ty_Either, bfe), bff)) -> new_esEs15(yu301, yu40001, bfe, bff)
13.22/5.02	   new_esEs15(Right(yu300), Right(yu40000), bbh, app(app(app(ty_@3, bcb), bcc), bcd)) -> new_esEs8(yu300, yu40000, bcb, bcc, bcd)
13.22/5.02	   new_esEs5(Just(yu300), Just(yu40000), app(app(ty_Either, cc), cd)) -> new_esEs15(yu300, yu40000, cc, cd)
13.22/5.02	   new_primEqInt(Pos(Succ(yu3000)), Pos(Zero)) -> False
13.22/5.02	   new_primEqInt(Pos(Zero), Pos(Succ(yu400000))) -> False
13.22/5.02	   new_esEs10(Double(yu300, yu301), Double(yu40000, yu40001)) -> new_esEs18(new_sr(yu300, yu40001), new_sr(yu301, yu40000))
13.22/5.02	   new_esEs20(yu300, yu40000, app(ty_Maybe, fh)) -> new_esEs5(yu300, yu40000, fh)
13.22/5.02	   new_esEs4(yu30, yu4000, ty_Char) -> new_esEs17(yu30, yu4000)
13.22/5.02	   new_esEs19(yu300, yu40000, ty_Char) -> new_esEs17(yu300, yu40000)
13.22/5.02	   new_esEs23(yu300, yu40000, app(app(ty_@2, bea), beb)) -> new_esEs9(yu300, yu40000, bea, beb)
13.22/5.02	   new_esEs5(Just(yu300), Just(yu40000), ty_@0) -> new_esEs11(yu300, yu40000)
13.22/5.02	   new_esEs23(yu300, yu40000, ty_Float) -> new_esEs7(yu300, yu40000)
13.22/5.02	   new_primEqNat0(Succ(yu3000), Succ(yu400000)) -> new_primEqNat0(yu3000, yu400000)
13.22/5.02	   new_esEs21(yu301, yu40001, ty_Ordering) -> new_esEs13(yu301, yu40001)
13.22/5.02	   new_esEs15(Right(yu300), Right(yu40000), bbh, ty_Int) -> new_esEs18(yu300, yu40000)
13.22/5.02	   new_esEs19(yu300, yu40000, ty_Bool) -> new_esEs14(yu300, yu40000)
13.22/5.02	   new_esEs21(yu301, yu40001, app(ty_Ratio, ga)) -> new_esEs6(yu301, yu40001, ga)
13.22/5.02	   new_esEs9(@2(yu300, yu301), @2(yu40000, yu40001), bdc, bdd) -> new_asAs(new_esEs23(yu300, yu40000, bdc), new_esEs24(yu301, yu40001, bdd))
13.22/5.02	   new_esEs4(yu30, yu4000, ty_Bool) -> new_esEs14(yu30, yu4000)
13.22/5.02	   new_esEs22(yu302, yu40002, ty_@0) -> new_esEs11(yu302, yu40002)
13.22/5.02	   new_esEs24(yu301, yu40001, ty_Double) -> new_esEs10(yu301, yu40001)
13.22/5.02	   new_esEs17(Char(yu300), Char(yu40000)) -> new_primEqNat0(yu300, yu40000)
13.22/5.02	   new_primMulNat0(Zero, Zero) -> Zero
13.22/5.02	   new_esEs15(Left(yu300), Left(yu40000), ty_Ordering, baf) -> new_esEs13(yu300, yu40000)
13.22/5.02	   new_esEs24(yu301, yu40001, ty_Int) -> new_esEs18(yu301, yu40001)
13.22/5.02	   new_esEs4(yu30, yu4000, ty_Int) -> new_esEs18(yu30, yu4000)
13.22/5.02	   new_esEs21(yu301, yu40001, app(app(app(ty_@3, gb), gc), gd)) -> new_esEs8(yu301, yu40001, gb, gc, gd)
13.22/5.02	   new_esEs24(yu301, yu40001, app(ty_[], bfg)) -> new_esEs16(yu301, yu40001, bfg)
13.22/5.02	   new_esEs24(yu301, yu40001, app(ty_Maybe, bfh)) -> new_esEs5(yu301, yu40001, bfh)
13.22/5.02	   new_esEs20(yu300, yu40000, app(ty_Ratio, ef)) -> new_esEs6(yu300, yu40000, ef)
13.22/5.02	   new_esEs15(Left(yu300), Left(yu40000), app(app(ty_Either, bbd), bbe), baf) -> new_esEs15(yu300, yu40000, bbd, bbe)
13.22/5.02	   new_esEs15(Right(yu300), Right(yu40000), bbh, ty_Integer) -> new_esEs12(yu300, yu40000)
13.22/5.02	   new_primEqNat0(Succ(yu3000), Zero) -> False
13.22/5.02	   new_primEqNat0(Zero, Succ(yu400000)) -> False
13.22/5.02	   new_esEs12(Integer(yu300), Integer(yu40000)) -> new_primEqInt(yu300, yu40000)
13.22/5.02	   new_esEs20(yu300, yu40000, ty_Float) -> new_esEs7(yu300, yu40000)
13.22/5.02	   new_esEs23(yu300, yu40000, ty_Int) -> new_esEs18(yu300, yu40000)
13.22/5.02	   new_esEs19(yu300, yu40000, app(app(ty_Either, dg), dh)) -> new_esEs15(yu300, yu40000, dg, dh)
13.22/5.02	   new_esEs22(yu302, yu40002, app(app(app(ty_@3, hd), he), hf)) -> new_esEs8(yu302, yu40002, hd, he, hf)
13.22/5.02	   new_esEs23(yu300, yu40000, ty_Bool) -> new_esEs14(yu300, yu40000)
13.22/5.02	   new_esEs14(False, True) -> False
13.22/5.02	   new_esEs14(True, False) -> False
13.22/5.02	   new_esEs24(yu301, yu40001, ty_Float) -> new_esEs7(yu301, yu40001)
13.22/5.02	   new_esEs13(LT, LT) -> True
13.22/5.02	   new_esEs20(yu300, yu40000, app(app(ty_Either, fd), ff)) -> new_esEs15(yu300, yu40000, fd, ff)
13.22/5.02	   new_esEs15(Left(yu300), Left(yu40000), ty_Char, baf) -> new_esEs17(yu300, yu40000)
13.22/5.02	   new_esEs22(yu302, yu40002, ty_Ordering) -> new_esEs13(yu302, yu40002)
13.22/5.02	   new_esEs23(yu300, yu40000, ty_Integer) -> new_esEs12(yu300, yu40000)
13.22/5.02	   new_esEs6(:%(yu300, yu301), :%(yu40000, yu40001), bga) -> new_asAs(new_esEs25(yu300, yu40000, bga), new_esEs26(yu301, yu40001, bga))
13.22/5.02	   new_primEqInt(Neg(Succ(yu3000)), Neg(Zero)) -> False
13.22/5.02	   new_primEqInt(Neg(Zero), Neg(Succ(yu400000))) -> False
13.22/5.02	   new_primEqInt(Pos(Succ(yu3000)), Pos(Succ(yu400000))) -> new_primEqNat0(yu3000, yu400000)
13.22/5.02	   new_esEs15(Left(yu300), Left(yu40000), app(app(app(ty_@3, bag), bah), bba), baf) -> new_esEs8(yu300, yu40000, bag, bah, bba)
13.22/5.02	   new_esEs15(Right(yu300), Right(yu40000), bbh, ty_Ordering) -> new_esEs13(yu300, yu40000)
13.22/5.02	   new_esEs24(yu301, yu40001, app(app(ty_@2, bfc), bfd)) -> new_esEs9(yu301, yu40001, bfc, bfd)
13.22/5.02	   new_esEs20(yu300, yu40000, app(ty_[], fg)) -> new_esEs16(yu300, yu40000, fg)
13.22/5.02	   new_esEs24(yu301, yu40001, ty_Bool) -> new_esEs14(yu301, yu40001)
13.22/5.02	   new_sr(Pos(yu3000), Neg(yu400010)) -> Neg(new_primMulNat0(yu3000, yu400010))
13.22/5.02	   new_sr(Neg(yu3000), Pos(yu400010)) -> Neg(new_primMulNat0(yu3000, yu400010))
13.22/5.02	   new_esEs21(yu301, yu40001, ty_Char) -> new_esEs17(yu301, yu40001)
13.22/5.02	   new_primPlusNat1(Succ(yu2900), Succ(yu40001000)) -> Succ(Succ(new_primPlusNat1(yu2900, yu40001000)))
13.22/5.02	   new_esEs4(yu30, yu4000, ty_Ordering) -> new_esEs13(yu30, yu4000)
13.22/5.02	   new_primEqInt(Pos(Succ(yu3000)), Neg(yu40000)) -> False
13.22/5.02	   new_primEqInt(Neg(Succ(yu3000)), Pos(yu40000)) -> False
13.22/5.02	   new_esEs14(False, False) -> True
13.22/5.02	   new_esEs19(yu300, yu40000, app(ty_[], ea)) -> new_esEs16(yu300, yu40000, ea)
13.22/5.02	   new_esEs13(LT, GT) -> False
13.22/5.02	   new_esEs13(GT, LT) -> False
13.22/5.02	   new_esEs19(yu300, yu40000, app(ty_Ratio, da)) -> new_esEs6(yu300, yu40000, da)
13.22/5.02	   new_esEs15(Right(yu300), Right(yu40000), bbh, app(app(ty_@2, bce), bcf)) -> new_esEs9(yu300, yu40000, bce, bcf)
13.22/5.02	   new_esEs26(yu301, yu40001, ty_Integer) -> new_esEs12(yu301, yu40001)
13.22/5.02	   new_esEs15(Right(yu300), Right(yu40000), bbh, ty_@0) -> new_esEs11(yu300, yu40000)
13.22/5.02	   new_esEs23(yu300, yu40000, ty_Double) -> new_esEs10(yu300, yu40000)
13.22/5.02	   new_sr(Neg(yu3000), Neg(yu400010)) -> Pos(new_primMulNat0(yu3000, yu400010))
13.22/5.02	   new_esEs19(yu300, yu40000, app(app(app(ty_@3, db), dc), dd)) -> new_esEs8(yu300, yu40000, db, dc, dd)
13.22/5.02	   new_esEs4(yu30, yu4000, ty_Double) -> new_esEs10(yu30, yu4000)
13.22/5.02	   new_esEs4(yu30, yu4000, ty_@0) -> new_esEs11(yu30, yu4000)
13.22/5.02	   new_esEs23(yu300, yu40000, ty_@0) -> new_esEs11(yu300, yu40000)
13.22/5.02	   new_esEs15(Right(yu300), Right(yu40000), bbh, ty_Double) -> new_esEs10(yu300, yu40000)
13.22/5.02	   new_esEs20(yu300, yu40000, ty_Int) -> new_esEs18(yu300, yu40000)
13.22/5.02	   new_esEs15(Left(yu300), Left(yu40000), app(ty_Ratio, bae), baf) -> new_esEs6(yu300, yu40000, bae)
13.22/5.02	   new_esEs4(yu30, yu4000, app(app(app(ty_@3, ec), ed), ee)) -> new_esEs8(yu30, yu4000, ec, ed, ee)
13.22/5.02	   new_esEs21(yu301, yu40001, app(app(ty_Either, gg), gh)) -> new_esEs15(yu301, yu40001, gg, gh)
13.22/5.02	   new_esEs13(GT, GT) -> True
13.22/5.02	   new_esEs5(Just(yu300), Just(yu40000), app(ty_Ratio, be)) -> new_esEs6(yu300, yu40000, be)
13.22/5.02	   new_esEs5(Just(yu300), Just(yu40000), ty_Ordering) -> new_esEs13(yu300, yu40000)
13.22/5.02	   new_esEs22(yu302, yu40002, ty_Char) -> new_esEs17(yu302, yu40002)
13.22/5.02	   new_primEqInt(Pos(Zero), Neg(Succ(yu400000))) -> False
13.22/5.02	   new_primEqInt(Neg(Zero), Pos(Succ(yu400000))) -> False
13.22/5.02	   new_esEs5(Just(yu300), Just(yu40000), ty_Char) -> new_esEs17(yu300, yu40000)
13.22/5.02	   new_esEs4(yu30, yu4000, app(app(ty_Either, bbh), baf)) -> new_esEs15(yu30, yu4000, bbh, baf)
13.22/5.02	   new_esEs21(yu301, yu40001, app(ty_Maybe, hb)) -> new_esEs5(yu301, yu40001, hb)
13.22/5.02	   new_esEs21(yu301, yu40001, ty_Double) -> new_esEs10(yu301, yu40001)
13.22/5.02	   new_esEs5(Nothing, Nothing, bd) -> True
13.22/5.02	   new_esEs20(yu300, yu40000, ty_Char) -> new_esEs17(yu300, yu40000)
13.22/5.02	   new_esEs19(yu300, yu40000, ty_Int) -> new_esEs18(yu300, yu40000)
13.22/5.02	   new_primEqInt(Neg(Succ(yu3000)), Neg(Succ(yu400000))) -> new_primEqNat0(yu3000, yu400000)
13.22/5.02	   new_esEs5(Nothing, Just(yu40000), bd) -> False
13.22/5.02	   new_esEs5(Just(yu300), Nothing, bd) -> False
13.22/5.02	   new_esEs24(yu301, yu40001, ty_Integer) -> new_esEs12(yu301, yu40001)
13.22/5.02	   new_esEs15(Left(yu300), Left(yu40000), ty_Double, baf) -> new_esEs10(yu300, yu40000)
13.22/5.02	   new_esEs5(Just(yu300), Just(yu40000), ty_Bool) -> new_esEs14(yu300, yu40000)
13.22/5.02	   new_esEs16(:(yu300, yu301), :(yu40000, yu40001), cg) -> new_asAs(new_esEs19(yu300, yu40000, cg), new_esEs16(yu301, yu40001, cg))
13.22/5.02	   new_primPlusNat0(Succ(yu290), yu4000100) -> Succ(Succ(new_primPlusNat1(yu290, yu4000100)))
13.22/5.02	   new_esEs23(yu300, yu40000, app(app(app(ty_@3, bdf), bdg), bdh)) -> new_esEs8(yu300, yu40000, bdf, bdg, bdh)
13.22/5.02	   new_esEs24(yu301, yu40001, app(ty_Ratio, beg)) -> new_esEs6(yu301, yu40001, beg)
13.22/5.02	   new_esEs13(EQ, GT) -> False
13.22/5.02	   new_esEs13(GT, EQ) -> False
13.22/5.02	   new_esEs19(yu300, yu40000, ty_@0) -> new_esEs11(yu300, yu40000)
13.22/5.02	   new_esEs15(Left(yu300), Left(yu40000), ty_@0, baf) -> new_esEs11(yu300, yu40000)
13.22/5.02	   new_esEs22(yu302, yu40002, ty_Integer) -> new_esEs12(yu302, yu40002)
13.22/5.02	   new_esEs25(yu300, yu40000, ty_Int) -> new_esEs18(yu300, yu40000)
13.22/5.02	   new_primPlusNat1(Zero, Zero) -> Zero
13.22/5.02	   new_esEs22(yu302, yu40002, ty_Int) -> new_esEs18(yu302, yu40002)
13.22/5.02	   new_esEs15(Left(yu300), Left(yu40000), ty_Integer, baf) -> new_esEs12(yu300, yu40000)
13.22/5.02	   new_primMulNat0(Succ(yu30000), Zero) -> Zero
13.22/5.02	   new_primMulNat0(Zero, Succ(yu4000100)) -> Zero
13.22/5.02	   new_sr(Pos(yu3000), Pos(yu400010)) -> Pos(new_primMulNat0(yu3000, yu400010))
13.22/5.02	   new_primPlusNat0(Zero, yu4000100) -> Succ(yu4000100)
13.22/5.02	   new_esEs24(yu301, yu40001, ty_Ordering) -> new_esEs13(yu301, yu40001)
13.22/5.02	   new_esEs5(Just(yu300), Just(yu40000), ty_Integer) -> new_esEs12(yu300, yu40000)
13.22/5.02	   new_esEs15(Right(yu300), Right(yu40000), bbh, app(ty_[], bda)) -> new_esEs16(yu300, yu40000, bda)
13.22/5.02	   new_esEs23(yu300, yu40000, app(ty_Maybe, bef)) -> new_esEs5(yu300, yu40000, bef)
13.22/5.02	   new_esEs21(yu301, yu40001, app(ty_[], ha)) -> new_esEs16(yu301, yu40001, ha)
13.22/5.02	   new_esEs20(yu300, yu40000, app(app(app(ty_@3, eg), eh), fa)) -> new_esEs8(yu300, yu40000, eg, eh, fa)
13.22/5.02	   new_esEs15(Right(yu300), Right(yu40000), bbh, app(ty_Ratio, bca)) -> new_esEs6(yu300, yu40000, bca)
13.22/5.02	   new_esEs21(yu301, yu40001, ty_Integer) -> new_esEs12(yu301, yu40001)
13.22/5.02	   new_esEs15(Right(yu300), Right(yu40000), bbh, ty_Bool) -> new_esEs14(yu300, yu40000)
13.22/5.02	   new_esEs22(yu302, yu40002, ty_Float) -> new_esEs7(yu302, yu40002)
13.22/5.02	   new_primEqInt(Neg(Zero), Neg(Zero)) -> True
13.22/5.02	   new_esEs20(yu300, yu40000, ty_Ordering) -> new_esEs13(yu300, yu40000)
13.22/5.02	   new_primMulNat0(Succ(yu30000), Succ(yu4000100)) -> new_primPlusNat0(new_primMulNat0(yu30000, Succ(yu4000100)), yu4000100)
13.22/5.02	   new_esEs15(Left(yu300), Left(yu40000), app(ty_[], bbf), baf) -> new_esEs16(yu300, yu40000, bbf)
13.22/5.02	   new_esEs15(Right(yu300), Right(yu40000), bbh, app(app(ty_Either, bcg), bch)) -> new_esEs15(yu300, yu40000, bcg, bch)
13.22/5.02	   new_esEs22(yu302, yu40002, ty_Bool) -> new_esEs14(yu302, yu40002)
13.22/5.02	   new_esEs15(Left(yu300), Left(yu40000), app(ty_Maybe, bbg), baf) -> new_esEs5(yu300, yu40000, bbg)
13.22/5.02	   new_esEs5(Just(yu300), Just(yu40000), ty_Int) -> new_esEs18(yu300, yu40000)
13.22/5.02	   new_esEs22(yu302, yu40002, app(app(ty_@2, hg), hh)) -> new_esEs9(yu302, yu40002, hg, hh)
13.22/5.02	   new_esEs15(Right(yu300), Right(yu40000), bbh, ty_Float) -> new_esEs7(yu300, yu40000)
13.22/5.02	   new_esEs22(yu302, yu40002, app(ty_Ratio, hc)) -> new_esEs6(yu302, yu40002, hc)
13.22/5.02	   new_esEs20(yu300, yu40000, ty_Integer) -> new_esEs12(yu300, yu40000)
13.22/5.02	   new_primPlusNat1(Succ(yu2900), Zero) -> Succ(yu2900)
13.22/5.02	   new_primPlusNat1(Zero, Succ(yu40001000)) -> Succ(yu40001000)
13.22/5.02	   new_esEs21(yu301, yu40001, ty_Float) -> new_esEs7(yu301, yu40001)
13.22/5.02	   new_esEs16(:(yu300, yu301), [], cg) -> False
13.22/5.02	   new_esEs16([], :(yu40000, yu40001), cg) -> False
13.22/5.02	   new_esEs5(Just(yu300), Just(yu40000), app(ty_[], ce)) -> new_esEs16(yu300, yu40000, ce)
13.22/5.02	   new_esEs23(yu300, yu40000, app(ty_[], bee)) -> new_esEs16(yu300, yu40000, bee)
13.22/5.02	   new_esEs11(@0, @0) -> True
13.22/5.02	   new_esEs20(yu300, yu40000, ty_@0) -> new_esEs11(yu300, yu40000)
13.22/5.02	   new_primEqInt(Pos(Zero), Neg(Zero)) -> True
13.22/5.02	   new_primEqInt(Neg(Zero), Pos(Zero)) -> True
13.22/5.02	   new_esEs21(yu301, yu40001, app(app(ty_@2, ge), gf)) -> new_esEs9(yu301, yu40001, ge, gf)
13.22/5.02	   new_esEs4(yu30, yu4000, app(ty_Maybe, bd)) -> new_esEs5(yu30, yu4000, bd)
13.22/5.02	   new_esEs15(Left(yu300), Left(yu40000), ty_Bool, baf) -> new_esEs14(yu300, yu40000)
13.22/5.02	   new_esEs4(yu30, yu4000, app(app(ty_@2, bdc), bdd)) -> new_esEs9(yu30, yu4000, bdc, bdd)
13.22/5.02	   new_esEs15(Right(yu300), Right(yu40000), bbh, app(ty_Maybe, bdb)) -> new_esEs5(yu300, yu40000, bdb)
13.22/5.02	   new_esEs23(yu300, yu40000, app(ty_Ratio, bde)) -> new_esEs6(yu300, yu40000, bde)
13.22/5.02	   new_esEs26(yu301, yu40001, ty_Int) -> new_esEs18(yu301, yu40001)
13.22/5.02	   new_esEs16([], [], cg) -> True
13.22/5.02	   new_primEqNat0(Zero, Zero) -> True
13.22/5.02	   new_esEs21(yu301, yu40001, ty_Int) -> new_esEs18(yu301, yu40001)
13.22/5.02	   new_esEs5(Just(yu300), Just(yu40000), app(app(ty_@2, ca), cb)) -> new_esEs9(yu300, yu40000, ca, cb)
13.22/5.02	   new_esEs4(yu30, yu4000, ty_Float) -> new_esEs7(yu30, yu4000)
13.22/5.02	   new_esEs19(yu300, yu40000, ty_Double) -> new_esEs10(yu300, yu40000)
13.22/5.02	   new_esEs14(True, True) -> True
13.22/5.02	   new_esEs15(Left(yu300), Left(yu40000), app(app(ty_@2, bbb), bbc), baf) -> new_esEs9(yu300, yu40000, bbb, bbc)
13.22/5.02	   new_esEs13(EQ, EQ) -> True
13.22/5.02	   new_asAs(False, yu28) -> False
13.22/5.02	   new_esEs22(yu302, yu40002, app(ty_[], bac)) -> new_esEs16(yu302, yu40002, bac)
13.22/5.02	   new_esEs21(yu301, yu40001, ty_@0) -> new_esEs11(yu301, yu40001)
13.22/5.02	   new_esEs22(yu302, yu40002, app(ty_Maybe, bad)) -> new_esEs5(yu302, yu40002, bad)
13.22/5.02	   new_esEs13(LT, EQ) -> False
13.22/5.02	   new_esEs13(EQ, LT) -> False
13.22/5.02	   new_esEs21(yu301, yu40001, ty_Bool) -> new_esEs14(yu301, yu40001)
13.22/5.02	   new_esEs24(yu301, yu40001, app(app(app(ty_@3, beh), bfa), bfb)) -> new_esEs8(yu301, yu40001, beh, bfa, bfb)
13.22/5.02	   new_esEs19(yu300, yu40000, ty_Ordering) -> new_esEs13(yu300, yu40000)
13.22/5.02	   new_esEs15(Left(yu300), Left(yu40000), ty_Float, baf) -> new_esEs7(yu300, yu40000)
13.22/5.02	   new_esEs5(Just(yu300), Just(yu40000), app(ty_Maybe, cf)) -> new_esEs5(yu300, yu40000, cf)
13.22/5.02	   new_esEs4(yu30, yu4000, app(ty_Ratio, bga)) -> new_esEs6(yu30, yu4000, bga)
13.22/5.02	   new_esEs23(yu300, yu40000, app(app(ty_Either, bec), bed)) -> new_esEs15(yu300, yu40000, bec, bed)
13.22/5.02	   new_esEs24(yu301, yu40001, ty_Char) -> new_esEs17(yu301, yu40001)
13.22/5.02	   new_esEs20(yu300, yu40000, ty_Double) -> new_esEs10(yu300, yu40000)
13.22/5.02	   new_esEs4(yu30, yu4000, app(ty_[], cg)) -> new_esEs16(yu30, yu4000, cg)
13.22/5.02	   new_esEs5(Just(yu300), Just(yu40000), ty_Float) -> new_esEs7(yu300, yu40000)
13.22/5.02	
13.22/5.02	The set Q consists of the following terms:
13.22/5.02	
13.22/5.02	   new_esEs22(x0, x1, app(app(ty_@2, x2), x3))
13.22/5.02	   new_esEs15(Left(x0), Left(x1), app(app(app(ty_@3, x2), x3), x4), x5)
13.22/5.02	   new_primPlusNat0(Succ(x0), x1)
13.22/5.02	   new_esEs5(Just(x0), Just(x1), ty_Double)
13.22/5.02	   new_esEs21(x0, x1, app(ty_Ratio, x2))
13.22/5.02	   new_esEs13(EQ, EQ)
13.22/5.02	   new_esEs5(Just(x0), Just(x1), ty_Float)
13.22/5.02	   new_esEs22(x0, x1, ty_Int)
13.22/5.02	   new_esEs25(x0, x1, ty_Integer)
13.22/5.02	   new_esEs15(Left(x0), Left(x1), app(app(ty_@2, x2), x3), x4)
13.22/5.02	   new_esEs17(Char(x0), Char(x1))
13.22/5.02	   new_asAs(False, x0)
13.22/5.02	   new_esEs23(x0, x1, ty_Integer)
13.22/5.02	   new_primMulNat0(Zero, Zero)
13.22/5.02	   new_esEs19(x0, x1, app(ty_Ratio, x2))
13.22/5.02	   new_esEs4(x0, x1, app(app(app(ty_@3, x2), x3), x4))
13.22/5.02	   new_primPlusNat1(Zero, Zero)
13.22/5.02	   new_primEqInt(Pos(Succ(x0)), Pos(Zero))
13.22/5.02	   new_esEs21(x0, x1, ty_Double)
13.22/5.02	   new_esEs23(x0, x1, app(ty_Ratio, x2))
13.22/5.02	   new_esEs24(x0, x1, ty_Double)
13.22/5.02	   new_esEs4(x0, x1, ty_Ordering)
13.22/5.02	   new_esEs21(x0, x1, app(app(ty_Either, x2), x3))
13.22/5.02	   new_esEs15(Right(x0), Right(x1), x2, app(ty_Ratio, x3))
13.22/5.02	   new_esEs24(x0, x1, ty_Float)
13.22/5.02	   new_esEs4(x0, x1, app(app(ty_Either, x2), x3))
13.22/5.02	   new_esEs22(x0, x1, app(app(ty_Either, x2), x3))
13.22/5.02	   new_primEqInt(Pos(Zero), Pos(Zero))
13.22/5.02	   new_esEs24(x0, x1, app(app(ty_Either, x2), x3))
13.22/5.02	   new_esEs12(Integer(x0), Integer(x1))
13.22/5.02	   new_esEs4(x0, x1, app(ty_[], x2))
13.22/5.02	   new_esEs5(Just(x0), Just(x1), app(ty_Ratio, x2))
13.22/5.02	   new_esEs15(Left(x0), Right(x1), x2, x3)
13.22/5.02	   new_esEs15(Right(x0), Left(x1), x2, x3)
13.22/5.02	   new_esEs5(Just(x0), Just(x1), ty_Int)
13.22/5.02	   new_esEs20(x0, x1, ty_Integer)
13.22/5.02	   new_esEs21(x0, x1, app(app(app(ty_@3, x2), x3), x4))
13.22/5.02	   new_esEs16([], :(x0, x1), x2)
13.22/5.02	   new_esEs16(:(x0, x1), :(x2, x3), x4)
13.22/5.02	   new_esEs22(x0, x1, ty_Ordering)
13.22/5.02	   new_esEs5(Just(x0), Just(x1), ty_Ordering)
13.22/5.02	   new_esEs14(True, True)
13.22/5.02	   new_esEs21(x0, x1, ty_Float)
13.22/5.02	   new_esEs13(LT, LT)
13.22/5.02	   new_esEs4(x0, x1, ty_Float)
13.22/5.02	   new_esEs15(Right(x0), Right(x1), x2, app(app(app(ty_@3, x3), x4), x5))
13.22/5.02	   new_esEs21(x0, x1, ty_Ordering)
13.22/5.02	   new_esEs15(Left(x0), Left(x1), ty_Integer, x2)
13.22/5.02	   new_primEqInt(Neg(Zero), Neg(Zero))
13.22/5.02	   new_esEs24(x0, x1, ty_Ordering)
13.22/5.02	   new_esEs22(x0, x1, ty_Float)
13.22/5.02	   new_esEs20(x0, x1, ty_Ordering)
13.22/5.02	   new_esEs24(x0, x1, app(ty_Maybe, x2))
13.22/5.02	   new_esEs19(x0, x1, app(app(ty_Either, x2), x3))
13.22/5.02	   new_esEs5(Just(x0), Just(x1), app(app(ty_Either, x2), x3))
13.22/5.02	   new_esEs23(x0, x1, ty_Double)
13.22/5.02	   new_primPlusNat1(Succ(x0), Zero)
13.22/5.02	   new_esEs22(x0, x1, app(ty_[], x2))
13.22/5.02	   new_esEs7(Float(x0, x1), Float(x2, x3))
13.22/5.02	   new_esEs19(x0, x1, ty_Ordering)
13.22/5.02	   new_esEs15(Right(x0), Right(x1), x2, ty_Ordering)
13.22/5.02	   new_esEs21(x0, x1, app(app(ty_@2, x2), x3))
13.22/5.02	   new_esEs23(x0, x1, ty_Bool)
13.22/5.02	   new_esEs14(False, True)
13.22/5.02	   new_esEs14(True, False)
13.22/5.02	   new_esEs9(@2(x0, x1), @2(x2, x3), x4, x5)
13.22/5.02	   new_esEs15(Right(x0), Right(x1), x2, app(ty_Maybe, x3))
13.22/5.02	   new_esEs5(Just(x0), Just(x1), app(app(ty_@2, x2), x3))
13.22/5.02	   new_esEs23(x0, x1, app(app(ty_Either, x2), x3))
13.22/5.02	   new_esEs4(x0, x1, app(app(ty_@2, x2), x3))
13.22/5.02	   new_esEs23(x0, x1, app(ty_Maybe, x2))
13.22/5.02	   new_esEs20(x0, x1, ty_Double)
13.22/5.02	   new_primEqInt(Pos(Succ(x0)), Neg(x1))
13.22/5.02	   new_primEqInt(Neg(Succ(x0)), Pos(x1))
13.22/5.02	   new_esEs22(x0, x1, ty_Double)
13.22/5.02	   new_primEqInt(Pos(Zero), Neg(Zero))
13.22/5.02	   new_primEqInt(Neg(Zero), Pos(Zero))
13.22/5.02	   new_esEs22(x0, x1, ty_Char)
13.22/5.02	   new_esEs21(x0, x1, app(ty_[], x2))
13.22/5.02	   new_esEs8(@3(x0, x1, x2), @3(x3, x4, x5), x6, x7, x8)
13.22/5.02	   new_sr(Pos(x0), Neg(x1))
13.22/5.02	   new_sr(Neg(x0), Pos(x1))
13.22/5.02	   new_esEs10(Double(x0, x1), Double(x2, x3))
13.22/5.02	   new_esEs20(x0, x1, app(ty_Maybe, x2))
13.22/5.02	   new_esEs23(x0, x1, app(app(app(ty_@3, x2), x3), x4))
13.22/5.02	   new_esEs26(x0, x1, ty_Integer)
13.22/5.02	   new_esEs22(x0, x1, app(ty_Ratio, x2))
13.22/5.02	   new_esEs20(x0, x1, ty_Bool)
13.22/5.02	   new_esEs15(Left(x0), Left(x1), app(ty_[], x2), x3)
13.22/5.02	   new_esEs16(:(x0, x1), [], x2)
13.22/5.02	   new_primEqInt(Neg(Succ(x0)), Neg(Zero))
13.22/5.02	   new_esEs5(Just(x0), Nothing, x1)
13.22/5.02	   new_esEs5(Just(x0), Just(x1), app(ty_Maybe, x2))
13.22/5.02	   new_primMulNat0(Succ(x0), Zero)
13.22/5.02	   new_esEs22(x0, x1, ty_Bool)
13.22/5.02	   new_esEs5(Nothing, Just(x0), x1)
13.22/5.02	   new_primEqInt(Pos(Zero), Neg(Succ(x0)))
13.22/5.02	   new_primEqInt(Neg(Zero), Pos(Succ(x0)))
13.22/5.02	   new_esEs4(x0, x1, ty_@0)
13.22/5.02	   new_esEs20(x0, x1, app(app(app(ty_@3, x2), x3), x4))
13.22/5.02	   new_esEs22(x0, x1, app(ty_Maybe, x2))
13.22/5.02	   new_esEs21(x0, x1, ty_@0)
13.22/5.02	   new_esEs5(Just(x0), Just(x1), ty_Bool)
13.22/5.02	   new_esEs23(x0, x1, ty_Char)
13.22/5.02	   new_esEs15(Left(x0), Left(x1), ty_Char, x2)
13.22/5.02	   new_esEs15(Left(x0), Left(x1), app(ty_Ratio, x2), x3)
13.22/5.02	   new_esEs25(x0, x1, ty_Int)
13.22/5.02	   new_esEs4(x0, x1, ty_Bool)
13.22/5.02	   new_esEs15(Left(x0), Left(x1), ty_Int, x2)
13.22/5.02	   new_primMulNat0(Succ(x0), Succ(x1))
13.22/5.02	   new_esEs5(Just(x0), Just(x1), app(ty_[], x2))
13.22/5.02	   new_esEs20(x0, x1, app(app(ty_Either, x2), x3))
13.22/5.02	   new_esEs19(x0, x1, app(ty_Maybe, x2))
13.22/5.02	   new_primEqNat0(Succ(x0), Succ(x1))
13.22/5.02	   new_primEqInt(Pos(Succ(x0)), Pos(Succ(x1)))
13.22/5.02	   new_esEs15(Right(x0), Right(x1), x2, ty_Integer)
13.22/5.02	   new_esEs13(LT, GT)
13.22/5.02	   new_esEs13(GT, LT)
13.22/5.02	   new_esEs24(x0, x1, app(ty_[], x2))
13.22/5.02	   new_primEqNat0(Succ(x0), Zero)
13.22/5.02	   new_esEs20(x0, x1, ty_Char)
13.22/5.02	   new_primEqInt(Pos(Zero), Pos(Succ(x0)))
13.22/5.02	   new_esEs24(x0, x1, app(app(ty_@2, x2), x3))
13.22/5.02	   new_esEs21(x0, x1, app(ty_Maybe, x2))
13.22/5.02	   new_esEs19(x0, x1, app(ty_[], x2))
13.22/5.02	   new_esEs19(x0, x1, ty_Integer)
13.22/5.02	   new_esEs19(x0, x1, app(app(ty_@2, x2), x3))
13.22/5.02	   new_esEs20(x0, x1, ty_Int)
13.22/5.02	   new_esEs22(x0, x1, ty_@0)
13.22/5.02	   new_esEs11(@0, @0)
13.22/5.02	   new_esEs15(Left(x0), Left(x1), ty_Ordering, x2)
13.22/5.02	   new_esEs22(x0, x1, ty_Integer)
13.22/5.02	   new_esEs15(Left(x0), Left(x1), ty_Float, x2)
13.22/5.02	   new_primEqNat0(Zero, Succ(x0))
13.22/5.02	   new_esEs15(Right(x0), Right(x1), x2, app(ty_[], x3))
13.22/5.02	   new_esEs4(x0, x1, ty_Integer)
13.22/5.02	   new_esEs23(x0, x1, ty_Ordering)
13.22/5.02	   new_esEs23(x0, x1, app(app(ty_@2, x2), x3))
13.22/5.02	   new_esEs4(x0, x1, app(ty_Maybe, x2))
13.22/5.02	   new_esEs20(x0, x1, ty_@0)
13.22/5.02	   new_esEs23(x0, x1, ty_Int)
13.22/5.02	   new_esEs5(Just(x0), Just(x1), ty_@0)
13.22/5.02	   new_esEs24(x0, x1, ty_@0)
13.22/5.02	   new_primEqInt(Neg(Succ(x0)), Neg(Succ(x1)))
13.22/5.02	   new_primMulNat0(Zero, Succ(x0))
13.22/5.02	   new_sr(Pos(x0), Pos(x1))
13.22/5.02	   new_esEs24(x0, x1, ty_Int)
13.22/5.02	   new_esEs15(Right(x0), Right(x1), x2, ty_Bool)
13.22/5.02	   new_primEqNat0(Zero, Zero)
13.22/5.02	   new_esEs15(Left(x0), Left(x1), app(app(ty_Either, x2), x3), x4)
13.22/5.02	   new_esEs21(x0, x1, ty_Char)
13.22/5.02	   new_esEs15(Right(x0), Right(x1), x2, ty_Float)
13.22/5.02	   new_esEs5(Just(x0), Just(x1), ty_Char)
13.22/5.02	   new_esEs24(x0, x1, app(app(app(ty_@3, x2), x3), x4))
13.22/5.02	   new_esEs19(x0, x1, app(app(app(ty_@3, x2), x3), x4))
13.22/5.02	   new_esEs23(x0, x1, ty_Float)
13.22/5.02	   new_primPlusNat1(Succ(x0), Succ(x1))
13.22/5.02	   new_esEs4(x0, x1, ty_Char)
13.22/5.02	   new_esEs23(x0, x1, ty_@0)
13.22/5.02	   new_esEs24(x0, x1, ty_Integer)
13.22/5.02	   new_esEs15(Right(x0), Right(x1), x2, ty_Double)
13.22/5.02	   new_esEs13(EQ, GT)
13.22/5.02	   new_esEs13(GT, EQ)
13.22/5.02	   new_esEs20(x0, x1, app(ty_[], x2))
13.22/5.02	   new_esEs21(x0, x1, ty_Integer)
13.22/5.02	   new_esEs5(Just(x0), Just(x1), app(app(app(ty_@3, x2), x3), x4))
13.22/5.02	   new_esEs15(Left(x0), Left(x1), ty_@0, x2)
13.22/5.02	   new_esEs15(Left(x0), Left(x1), ty_Double, x2)
13.22/5.02	   new_esEs20(x0, x1, ty_Float)
13.22/5.02	   new_esEs5(Just(x0), Just(x1), ty_Integer)
13.22/5.02	   new_esEs19(x0, x1, ty_Float)
13.22/5.02	   new_esEs15(Right(x0), Right(x1), x2, ty_@0)
13.22/5.02	   new_esEs21(x0, x1, ty_Int)
13.22/5.02	   new_sr(Neg(x0), Neg(x1))
13.22/5.02	   new_esEs19(x0, x1, ty_Bool)
13.22/5.02	   new_esEs26(x0, x1, ty_Int)
13.22/5.02	   new_esEs4(x0, x1, ty_Int)
13.22/5.02	   new_esEs24(x0, x1, ty_Char)
13.22/5.02	   new_esEs22(x0, x1, app(app(app(ty_@3, x2), x3), x4))
13.22/5.02	   new_esEs14(False, False)
13.22/5.02	   new_esEs18(x0, x1)
13.22/5.02	   new_esEs15(Left(x0), Left(x1), app(ty_Maybe, x2), x3)
13.22/5.02	   new_esEs6(:%(x0, x1), :%(x2, x3), x4)
13.22/5.02	   new_esEs20(x0, x1, app(ty_Ratio, x2))
13.22/5.02	   new_esEs15(Right(x0), Right(x1), x2, ty_Int)
13.22/5.02	   new_esEs19(x0, x1, ty_@0)
13.22/5.02	   new_esEs5(Nothing, Nothing, x0)
13.22/5.02	   new_esEs15(Right(x0), Right(x1), x2, app(app(ty_Either, x3), x4))
13.22/5.02	   new_esEs24(x0, x1, ty_Bool)
13.22/5.02	   new_esEs19(x0, x1, ty_Int)
13.22/5.02	   new_primPlusNat0(Zero, x0)
13.22/5.02	   new_esEs15(Left(x0), Left(x1), ty_Bool, x2)
13.22/5.02	   new_esEs21(x0, x1, ty_Bool)
13.22/5.02	   new_esEs15(Right(x0), Right(x1), x2, ty_Char)
13.22/5.02	   new_primPlusNat1(Zero, Succ(x0))
13.22/5.02	   new_esEs19(x0, x1, ty_Double)
13.22/5.02	   new_asAs(True, x0)
13.22/5.02	   new_esEs20(x0, x1, app(app(ty_@2, x2), x3))
13.22/5.02	   new_esEs13(GT, GT)
13.22/5.02	   new_esEs13(LT, EQ)
13.22/5.02	   new_esEs13(EQ, LT)
13.22/5.02	   new_esEs4(x0, x1, ty_Double)
13.22/5.02	   new_esEs16([], [], x0)
13.22/5.02	   new_primEqInt(Neg(Zero), Neg(Succ(x0)))
13.22/5.02	   new_esEs24(x0, x1, app(ty_Ratio, x2))
13.22/5.02	   new_esEs4(x0, x1, app(ty_Ratio, x2))
13.22/5.02	   new_esEs19(x0, x1, ty_Char)
13.22/5.02	   new_esEs23(x0, x1, app(ty_[], x2))
13.22/5.02	   new_esEs15(Right(x0), Right(x1), x2, app(app(ty_@2, x3), x4))
13.22/5.02	
13.22/5.02	We have to consider all minimal (P,Q,R)-chains.
13.22/5.02	----------------------------------------
13.22/5.02	
13.22/5.02	(14) QDPSizeChangeProof (EQUIVALENT)
13.22/5.02	By using the subterm criterion [SUBTERM_CRITERION] together with the size-change analysis [AAECC05] we have proven that there are no infinite chains for this DP problem. 
13.22/5.02	
13.22/5.02	From the DPs we obtained the following set of size-change graphs:
13.22/5.02	*new_lookup1(yu11, yu12, yu13, yu14, False, bb, bc) -> new_lookup(Just(yu11), yu14, bb, bc)
13.22/5.02	The graph contains the following edges 4 >= 2, 6 >= 3, 7 >= 4
13.22/5.02	
13.22/5.02	
13.22/5.02	*new_lookup(Just(yu30), :(@2(Nothing, yu401), yu41), h, ba) -> new_lookup(Just(yu30), yu41, h, ba)
13.22/5.02	The graph contains the following edges 1 >= 1, 2 > 2, 3 >= 3, 4 >= 4
13.22/5.02	
13.22/5.02	
13.22/5.02	*new_lookup(Just(yu30), :(@2(Just(yu4000), yu401), yu41), h, ba) -> new_lookup1(yu30, yu4000, yu401, yu41, new_esEs4(yu30, yu4000, ba), h, ba)
13.22/5.02	The graph contains the following edges 1 > 1, 2 > 2, 2 > 3, 2 > 4, 3 >= 6, 4 >= 7
13.22/5.02	
13.22/5.02	
13.22/5.02	----------------------------------------
13.22/5.02	
13.22/5.02	(15)
13.22/5.02	YES
13.22/5.02	
13.22/5.02	----------------------------------------
13.22/5.02	
13.22/5.02	(16)
13.22/5.02	Obligation:
13.22/5.02	Q DP problem:
13.22/5.02	The TRS P consists of the following rules:
13.22/5.02	
13.22/5.02	   new_esEs3(Just(yu300), Just(yu40000), app(app(ty_Either, bdg), bdh)) -> new_esEs1(yu300, yu40000, bdg, bdh)
13.22/5.02	   new_esEs1(Left(yu300), Left(yu40000), app(app(ty_Either, bab), bac), hg) -> new_esEs1(yu300, yu40000, bab, bac)
13.22/5.02	   new_esEs1(Right(yu300), Right(yu40000), baf, app(ty_Maybe, bbg)) -> new_esEs3(yu300, yu40000, bbg)
13.22/5.02	   new_esEs2(:(yu300, yu301), :(yu40000, yu40001), bda) -> new_esEs2(yu301, yu40001, bda)
13.22/5.02	   new_esEs(@3(yu300, yu301, yu302), @3(yu40000, yu40001, yu40002), cc, bc, app(app(app(ty_@3, df), dg), dh)) -> new_esEs(yu302, yu40002, df, dg, dh)
13.22/5.02	   new_esEs2(:(yu300, yu301), :(yu40000, yu40001), app(app(ty_@2, bcc), bcd)) -> new_esEs0(yu300, yu40000, bcc, bcd)
13.22/5.02	   new_esEs0(@2(yu300, yu301), @2(yu40000, yu40001), app(ty_Maybe, ga), fb) -> new_esEs3(yu300, yu40000, ga)
13.22/5.02	   new_esEs(@3(yu300, yu301, yu302), @3(yu40000, yu40001, yu40002), cc, app(app(ty_@2, cg), da), bd) -> new_esEs0(yu301, yu40001, cg, da)
13.22/5.02	   new_esEs0(@2(yu300, yu301), @2(yu40000, yu40001), app(app(app(ty_@3, eg), eh), fa), fb) -> new_esEs(yu300, yu40000, eg, eh, fa)
13.22/5.02	   new_esEs2(:(yu300, yu301), :(yu40000, yu40001), app(app(app(ty_@3, bbh), bca), bcb)) -> new_esEs(yu300, yu40000, bbh, bca, bcb)
13.22/5.02	   new_esEs0(@2(yu300, yu301), @2(yu40000, yu40001), gb, app(app(ty_@2, gf), gg)) -> new_esEs0(yu301, yu40001, gf, gg)
13.22/5.02	   new_esEs0(@2(yu300, yu301), @2(yu40000, yu40001), gb, app(ty_Maybe, hc)) -> new_esEs3(yu301, yu40001, hc)
13.22/5.02	   new_esEs3(Just(yu300), Just(yu40000), app(ty_Maybe, beb)) -> new_esEs3(yu300, yu40000, beb)
13.22/5.02	   new_esEs3(Just(yu300), Just(yu40000), app(app(app(ty_@3, bdb), bdc), bdd)) -> new_esEs(yu300, yu40000, bdb, bdc, bdd)
13.22/5.02	   new_esEs(@3(yu300, yu301, yu302), @3(yu40000, yu40001, yu40002), app(ty_[], ca), bc, bd) -> new_esEs2(yu300, yu40000, ca)
13.22/5.02	   new_esEs1(Right(yu300), Right(yu40000), baf, app(ty_[], bbf)) -> new_esEs2(yu300, yu40000, bbf)
13.22/5.02	   new_esEs1(Left(yu300), Left(yu40000), app(app(ty_@2, hh), baa), hg) -> new_esEs0(yu300, yu40000, hh, baa)
13.22/5.02	   new_esEs(@3(yu300, yu301, yu302), @3(yu40000, yu40001, yu40002), cc, app(ty_[], dd), bd) -> new_esEs2(yu301, yu40001, dd)
13.22/5.02	   new_esEs1(Left(yu300), Left(yu40000), app(ty_Maybe, bae), hg) -> new_esEs3(yu300, yu40000, bae)
13.22/5.02	   new_esEs(@3(yu300, yu301, yu302), @3(yu40000, yu40001, yu40002), cc, app(app(app(ty_@3, cd), ce), cf), bd) -> new_esEs(yu301, yu40001, cd, ce, cf)
13.22/5.02	   new_esEs1(Left(yu300), Left(yu40000), app(app(app(ty_@3, hd), he), hf), hg) -> new_esEs(yu300, yu40000, hd, he, hf)
13.22/5.02	   new_esEs(@3(yu300, yu301, yu302), @3(yu40000, yu40001, yu40002), cc, bc, app(ty_[], ee)) -> new_esEs2(yu302, yu40002, ee)
13.22/5.02	   new_esEs(@3(yu300, yu301, yu302), @3(yu40000, yu40001, yu40002), cc, bc, app(app(ty_@2, ea), eb)) -> new_esEs0(yu302, yu40002, ea, eb)
13.22/5.02	   new_esEs(@3(yu300, yu301, yu302), @3(yu40000, yu40001, yu40002), cc, app(app(ty_Either, db), dc), bd) -> new_esEs1(yu301, yu40001, db, dc)
13.22/5.02	   new_esEs3(Just(yu300), Just(yu40000), app(ty_[], bea)) -> new_esEs2(yu300, yu40000, bea)
13.22/5.02	   new_esEs(@3(yu300, yu301, yu302), @3(yu40000, yu40001, yu40002), cc, bc, app(app(ty_Either, ec), ed)) -> new_esEs1(yu302, yu40002, ec, ed)
13.22/5.02	   new_esEs(@3(yu300, yu301, yu302), @3(yu40000, yu40001, yu40002), app(app(ty_Either, bg), bh), bc, bd) -> new_esEs1(yu300, yu40000, bg, bh)
13.22/5.02	   new_esEs2(:(yu300, yu301), :(yu40000, yu40001), app(app(ty_Either, bce), bcf)) -> new_esEs1(yu300, yu40000, bce, bcf)
13.22/5.02	   new_esEs2(:(yu300, yu301), :(yu40000, yu40001), app(ty_Maybe, bch)) -> new_esEs3(yu300, yu40000, bch)
13.22/5.02	   new_esEs0(@2(yu300, yu301), @2(yu40000, yu40001), app(ty_[], fh), fb) -> new_esEs2(yu300, yu40000, fh)
13.22/5.02	   new_esEs3(Just(yu300), Just(yu40000), app(app(ty_@2, bde), bdf)) -> new_esEs0(yu300, yu40000, bde, bdf)
13.22/5.02	   new_esEs(@3(yu300, yu301, yu302), @3(yu40000, yu40001, yu40002), app(app(app(ty_@3, h), ba), bb), bc, bd) -> new_esEs(yu300, yu40000, h, ba, bb)
13.22/5.02	   new_esEs0(@2(yu300, yu301), @2(yu40000, yu40001), gb, app(ty_[], hb)) -> new_esEs2(yu301, yu40001, hb)
13.22/5.02	   new_esEs0(@2(yu300, yu301), @2(yu40000, yu40001), gb, app(app(ty_Either, gh), ha)) -> new_esEs1(yu301, yu40001, gh, ha)
13.22/5.02	   new_esEs2(:(yu300, yu301), :(yu40000, yu40001), app(ty_[], bcg)) -> new_esEs2(yu300, yu40000, bcg)
13.22/5.02	   new_esEs0(@2(yu300, yu301), @2(yu40000, yu40001), app(app(ty_Either, ff), fg), fb) -> new_esEs1(yu300, yu40000, ff, fg)
13.22/5.02	   new_esEs1(Right(yu300), Right(yu40000), baf, app(app(app(ty_@3, bag), bah), bba)) -> new_esEs(yu300, yu40000, bag, bah, bba)
13.22/5.02	   new_esEs(@3(yu300, yu301, yu302), @3(yu40000, yu40001, yu40002), cc, bc, app(ty_Maybe, ef)) -> new_esEs3(yu302, yu40002, ef)
13.22/5.02	   new_esEs1(Right(yu300), Right(yu40000), baf, app(app(ty_@2, bbb), bbc)) -> new_esEs0(yu300, yu40000, bbb, bbc)
13.22/5.02	   new_esEs(@3(yu300, yu301, yu302), @3(yu40000, yu40001, yu40002), cc, app(ty_Maybe, de), bd) -> new_esEs3(yu301, yu40001, de)
13.22/5.02	   new_esEs0(@2(yu300, yu301), @2(yu40000, yu40001), app(app(ty_@2, fc), fd), fb) -> new_esEs0(yu300, yu40000, fc, fd)
13.22/5.02	   new_esEs(@3(yu300, yu301, yu302), @3(yu40000, yu40001, yu40002), app(app(ty_@2, be), bf), bc, bd) -> new_esEs0(yu300, yu40000, be, bf)
13.22/5.02	   new_esEs0(@2(yu300, yu301), @2(yu40000, yu40001), gb, app(app(app(ty_@3, gc), gd), ge)) -> new_esEs(yu301, yu40001, gc, gd, ge)
13.22/5.02	   new_esEs1(Left(yu300), Left(yu40000), app(ty_[], bad), hg) -> new_esEs2(yu300, yu40000, bad)
13.22/5.02	   new_esEs1(Right(yu300), Right(yu40000), baf, app(app(ty_Either, bbd), bbe)) -> new_esEs1(yu300, yu40000, bbd, bbe)
13.22/5.02	   new_esEs(@3(yu300, yu301, yu302), @3(yu40000, yu40001, yu40002), app(ty_Maybe, cb), bc, bd) -> new_esEs3(yu300, yu40000, cb)
13.22/5.02	
13.22/5.02	R is empty.
13.22/5.02	Q is empty.
13.22/5.02	We have to consider all minimal (P,Q,R)-chains.
13.22/5.02	----------------------------------------
13.22/5.02	
13.22/5.02	(17) QDPSizeChangeProof (EQUIVALENT)
13.22/5.02	By using the subterm criterion [SUBTERM_CRITERION] together with the size-change analysis [AAECC05] we have proven that there are no infinite chains for this DP problem. 
13.22/5.02	
13.22/5.02	From the DPs we obtained the following set of size-change graphs:
13.22/5.02	*new_esEs3(Just(yu300), Just(yu40000), app(ty_Maybe, beb)) -> new_esEs3(yu300, yu40000, beb)
13.22/5.02	The graph contains the following edges 1 > 1, 2 > 2, 3 > 3
13.22/5.02	
13.22/5.02	
13.22/5.02	*new_esEs3(Just(yu300), Just(yu40000), app(app(ty_Either, bdg), bdh)) -> new_esEs1(yu300, yu40000, bdg, bdh)
13.22/5.02	The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4
13.22/5.02	
13.22/5.02	
13.22/5.02	*new_esEs2(:(yu300, yu301), :(yu40000, yu40001), app(ty_Maybe, bch)) -> new_esEs3(yu300, yu40000, bch)
13.22/5.02	The graph contains the following edges 1 > 1, 2 > 2, 3 > 3
13.22/5.02	
13.22/5.02	
13.22/5.02	*new_esEs2(:(yu300, yu301), :(yu40000, yu40001), app(app(ty_Either, bce), bcf)) -> new_esEs1(yu300, yu40000, bce, bcf)
13.22/5.02	The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4
13.22/5.02	
13.22/5.02	
13.22/5.02	*new_esEs3(Just(yu300), Just(yu40000), app(ty_[], bea)) -> new_esEs2(yu300, yu40000, bea)
13.22/5.02	The graph contains the following edges 1 > 1, 2 > 2, 3 > 3
13.22/5.02	
13.22/5.02	
13.22/5.02	*new_esEs3(Just(yu300), Just(yu40000), app(app(app(ty_@3, bdb), bdc), bdd)) -> new_esEs(yu300, yu40000, bdb, bdc, bdd)
13.22/5.02	The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5
13.22/5.02	
13.22/5.02	
13.22/5.02	*new_esEs3(Just(yu300), Just(yu40000), app(app(ty_@2, bde), bdf)) -> new_esEs0(yu300, yu40000, bde, bdf)
13.22/5.02	The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4
13.22/5.02	
13.22/5.02	
13.22/5.02	*new_esEs2(:(yu300, yu301), :(yu40000, yu40001), app(app(app(ty_@3, bbh), bca), bcb)) -> new_esEs(yu300, yu40000, bbh, bca, bcb)
13.22/5.02	The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5
13.22/5.02	
13.22/5.02	
13.22/5.02	*new_esEs2(:(yu300, yu301), :(yu40000, yu40001), app(app(ty_@2, bcc), bcd)) -> new_esEs0(yu300, yu40000, bcc, bcd)
13.22/5.02	The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4
13.22/5.02	
13.22/5.02	
13.22/5.02	*new_esEs1(Right(yu300), Right(yu40000), baf, app(ty_Maybe, bbg)) -> new_esEs3(yu300, yu40000, bbg)
13.22/5.02	The graph contains the following edges 1 > 1, 2 > 2, 4 > 3
13.22/5.02	
13.22/5.02	
13.22/5.02	*new_esEs1(Left(yu300), Left(yu40000), app(ty_Maybe, bae), hg) -> new_esEs3(yu300, yu40000, bae)
13.22/5.02	The graph contains the following edges 1 > 1, 2 > 2, 3 > 3
13.22/5.02	
13.22/5.02	
13.22/5.02	*new_esEs1(Left(yu300), Left(yu40000), app(app(ty_Either, bab), bac), hg) -> new_esEs1(yu300, yu40000, bab, bac)
13.22/5.02	The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4
13.22/5.02	
13.22/5.02	
13.22/5.02	*new_esEs1(Right(yu300), Right(yu40000), baf, app(app(ty_Either, bbd), bbe)) -> new_esEs1(yu300, yu40000, bbd, bbe)
13.22/5.02	The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4
13.22/5.02	
13.22/5.02	
13.22/5.02	*new_esEs1(Right(yu300), Right(yu40000), baf, app(ty_[], bbf)) -> new_esEs2(yu300, yu40000, bbf)
13.22/5.02	The graph contains the following edges 1 > 1, 2 > 2, 4 > 3
13.22/5.02	
13.22/5.02	
13.22/5.02	*new_esEs1(Left(yu300), Left(yu40000), app(ty_[], bad), hg) -> new_esEs2(yu300, yu40000, bad)
13.22/5.02	The graph contains the following edges 1 > 1, 2 > 2, 3 > 3
13.22/5.02	
13.22/5.02	
13.22/5.02	*new_esEs1(Left(yu300), Left(yu40000), app(app(app(ty_@3, hd), he), hf), hg) -> new_esEs(yu300, yu40000, hd, he, hf)
13.22/5.02	The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5
13.22/5.02	
13.22/5.02	
13.22/5.02	*new_esEs1(Right(yu300), Right(yu40000), baf, app(app(app(ty_@3, bag), bah), bba)) -> new_esEs(yu300, yu40000, bag, bah, bba)
13.22/5.02	The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4, 4 > 5
13.22/5.02	
13.22/5.02	
13.22/5.02	*new_esEs1(Left(yu300), Left(yu40000), app(app(ty_@2, hh), baa), hg) -> new_esEs0(yu300, yu40000, hh, baa)
13.22/5.02	The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4
13.22/5.02	
13.22/5.02	
13.22/5.02	*new_esEs1(Right(yu300), Right(yu40000), baf, app(app(ty_@2, bbb), bbc)) -> new_esEs0(yu300, yu40000, bbb, bbc)
13.22/5.02	The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4
13.22/5.02	
13.22/5.02	
13.22/5.02	*new_esEs(@3(yu300, yu301, yu302), @3(yu40000, yu40001, yu40002), cc, bc, app(ty_Maybe, ef)) -> new_esEs3(yu302, yu40002, ef)
13.22/5.02	The graph contains the following edges 1 > 1, 2 > 2, 5 > 3
13.22/5.02	
13.22/5.02	
13.22/5.02	*new_esEs(@3(yu300, yu301, yu302), @3(yu40000, yu40001, yu40002), cc, app(ty_Maybe, de), bd) -> new_esEs3(yu301, yu40001, de)
13.22/5.02	The graph contains the following edges 1 > 1, 2 > 2, 4 > 3
13.22/5.02	
13.22/5.02	
13.22/5.02	*new_esEs(@3(yu300, yu301, yu302), @3(yu40000, yu40001, yu40002), app(ty_Maybe, cb), bc, bd) -> new_esEs3(yu300, yu40000, cb)
13.22/5.02	The graph contains the following edges 1 > 1, 2 > 2, 3 > 3
13.22/5.02	
13.22/5.02	
13.22/5.02	*new_esEs0(@2(yu300, yu301), @2(yu40000, yu40001), app(ty_Maybe, ga), fb) -> new_esEs3(yu300, yu40000, ga)
13.22/5.02	The graph contains the following edges 1 > 1, 2 > 2, 3 > 3
13.22/5.02	
13.22/5.02	
13.22/5.02	*new_esEs0(@2(yu300, yu301), @2(yu40000, yu40001), gb, app(ty_Maybe, hc)) -> new_esEs3(yu301, yu40001, hc)
13.22/5.02	The graph contains the following edges 1 > 1, 2 > 2, 4 > 3
13.22/5.02	
13.22/5.02	
13.22/5.02	*new_esEs(@3(yu300, yu301, yu302), @3(yu40000, yu40001, yu40002), cc, app(app(ty_Either, db), dc), bd) -> new_esEs1(yu301, yu40001, db, dc)
13.22/5.02	The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4
13.22/5.02	
13.22/5.02	
13.22/5.02	*new_esEs(@3(yu300, yu301, yu302), @3(yu40000, yu40001, yu40002), cc, bc, app(app(ty_Either, ec), ed)) -> new_esEs1(yu302, yu40002, ec, ed)
13.22/5.02	The graph contains the following edges 1 > 1, 2 > 2, 5 > 3, 5 > 4
13.22/5.02	
13.22/5.02	
13.22/5.02	*new_esEs(@3(yu300, yu301, yu302), @3(yu40000, yu40001, yu40002), app(app(ty_Either, bg), bh), bc, bd) -> new_esEs1(yu300, yu40000, bg, bh)
13.22/5.02	The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4
13.22/5.02	
13.22/5.02	
13.22/5.02	*new_esEs0(@2(yu300, yu301), @2(yu40000, yu40001), gb, app(app(ty_Either, gh), ha)) -> new_esEs1(yu301, yu40001, gh, ha)
13.22/5.02	The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4
13.22/5.02	
13.22/5.02	
13.22/5.02	*new_esEs0(@2(yu300, yu301), @2(yu40000, yu40001), app(app(ty_Either, ff), fg), fb) -> new_esEs1(yu300, yu40000, ff, fg)
13.22/5.02	The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4
13.22/5.02	
13.22/5.02	
13.22/5.02	*new_esEs2(:(yu300, yu301), :(yu40000, yu40001), bda) -> new_esEs2(yu301, yu40001, bda)
13.22/5.02	The graph contains the following edges 1 > 1, 2 > 2, 3 >= 3
13.22/5.02	
13.22/5.02	
13.22/5.02	*new_esEs2(:(yu300, yu301), :(yu40000, yu40001), app(ty_[], bcg)) -> new_esEs2(yu300, yu40000, bcg)
13.22/5.02	The graph contains the following edges 1 > 1, 2 > 2, 3 > 3
13.22/5.02	
13.22/5.02	
13.22/5.02	*new_esEs(@3(yu300, yu301, yu302), @3(yu40000, yu40001, yu40002), app(ty_[], ca), bc, bd) -> new_esEs2(yu300, yu40000, ca)
13.22/5.02	The graph contains the following edges 1 > 1, 2 > 2, 3 > 3
13.22/5.02	
13.22/5.02	
13.22/5.02	*new_esEs(@3(yu300, yu301, yu302), @3(yu40000, yu40001, yu40002), cc, app(ty_[], dd), bd) -> new_esEs2(yu301, yu40001, dd)
13.22/5.02	The graph contains the following edges 1 > 1, 2 > 2, 4 > 3
13.22/5.02	
13.22/5.02	
13.22/5.02	*new_esEs(@3(yu300, yu301, yu302), @3(yu40000, yu40001, yu40002), cc, bc, app(ty_[], ee)) -> new_esEs2(yu302, yu40002, ee)
13.22/5.02	The graph contains the following edges 1 > 1, 2 > 2, 5 > 3
13.22/5.02	
13.22/5.02	
13.22/5.02	*new_esEs0(@2(yu300, yu301), @2(yu40000, yu40001), app(ty_[], fh), fb) -> new_esEs2(yu300, yu40000, fh)
13.22/5.02	The graph contains the following edges 1 > 1, 2 > 2, 3 > 3
13.22/5.02	
13.22/5.02	
13.22/5.02	*new_esEs0(@2(yu300, yu301), @2(yu40000, yu40001), gb, app(ty_[], hb)) -> new_esEs2(yu301, yu40001, hb)
13.22/5.02	The graph contains the following edges 1 > 1, 2 > 2, 4 > 3
13.22/5.02	
13.22/5.02	
13.22/5.02	*new_esEs(@3(yu300, yu301, yu302), @3(yu40000, yu40001, yu40002), cc, bc, app(app(app(ty_@3, df), dg), dh)) -> new_esEs(yu302, yu40002, df, dg, dh)
13.22/5.02	The graph contains the following edges 1 > 1, 2 > 2, 5 > 3, 5 > 4, 5 > 5
13.22/5.02	
13.22/5.02	
13.22/5.02	*new_esEs(@3(yu300, yu301, yu302), @3(yu40000, yu40001, yu40002), cc, app(app(app(ty_@3, cd), ce), cf), bd) -> new_esEs(yu301, yu40001, cd, ce, cf)
13.22/5.02	The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4, 4 > 5
13.22/5.02	
13.22/5.02	
13.22/5.02	*new_esEs(@3(yu300, yu301, yu302), @3(yu40000, yu40001, yu40002), app(app(app(ty_@3, h), ba), bb), bc, bd) -> new_esEs(yu300, yu40000, h, ba, bb)
13.22/5.02	The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5
13.22/5.02	
13.22/5.02	
13.22/5.02	*new_esEs(@3(yu300, yu301, yu302), @3(yu40000, yu40001, yu40002), cc, app(app(ty_@2, cg), da), bd) -> new_esEs0(yu301, yu40001, cg, da)
13.22/5.02	The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4
13.22/5.02	
13.22/5.02	
13.22/5.02	*new_esEs(@3(yu300, yu301, yu302), @3(yu40000, yu40001, yu40002), cc, bc, app(app(ty_@2, ea), eb)) -> new_esEs0(yu302, yu40002, ea, eb)
13.22/5.02	The graph contains the following edges 1 > 1, 2 > 2, 5 > 3, 5 > 4
13.22/5.02	
13.22/5.02	
13.22/5.02	*new_esEs(@3(yu300, yu301, yu302), @3(yu40000, yu40001, yu40002), app(app(ty_@2, be), bf), bc, bd) -> new_esEs0(yu300, yu40000, be, bf)
13.22/5.02	The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4
13.22/5.02	
13.22/5.02	
13.22/5.02	*new_esEs0(@2(yu300, yu301), @2(yu40000, yu40001), app(app(app(ty_@3, eg), eh), fa), fb) -> new_esEs(yu300, yu40000, eg, eh, fa)
13.22/5.02	The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5
13.22/5.02	
13.22/5.02	
13.22/5.02	*new_esEs0(@2(yu300, yu301), @2(yu40000, yu40001), gb, app(app(app(ty_@3, gc), gd), ge)) -> new_esEs(yu301, yu40001, gc, gd, ge)
13.22/5.02	The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4, 4 > 5
13.22/5.02	
13.22/5.02	
13.22/5.02	*new_esEs0(@2(yu300, yu301), @2(yu40000, yu40001), gb, app(app(ty_@2, gf), gg)) -> new_esEs0(yu301, yu40001, gf, gg)
13.22/5.02	The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4
13.22/5.02	
13.22/5.02	
13.22/5.02	*new_esEs0(@2(yu300, yu301), @2(yu40000, yu40001), app(app(ty_@2, fc), fd), fb) -> new_esEs0(yu300, yu40000, fc, fd)
13.22/5.02	The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4
13.22/5.02	
13.22/5.02	
13.22/5.02	----------------------------------------
13.22/5.02	
13.22/5.02	(18)
13.22/5.02	YES
13.22/5.02	
13.22/5.02	----------------------------------------
13.22/5.02	
13.22/5.02	(19)
13.22/5.02	Obligation:
13.22/5.02	Q DP problem:
13.22/5.02	The TRS P consists of the following rules:
13.22/5.02	
13.22/5.02	   new_primMulNat(Succ(yu30000), Succ(yu4000100)) -> new_primMulNat(yu30000, Succ(yu4000100))
13.22/5.02	
13.22/5.02	R is empty.
13.22/5.02	Q is empty.
13.22/5.02	We have to consider all minimal (P,Q,R)-chains.
13.22/5.02	----------------------------------------
13.22/5.02	
13.22/5.02	(20) QDPSizeChangeProof (EQUIVALENT)
13.22/5.02	By using the subterm criterion [SUBTERM_CRITERION] together with the size-change analysis [AAECC05] we have proven that there are no infinite chains for this DP problem. 
13.22/5.02	
13.22/5.02	From the DPs we obtained the following set of size-change graphs:
13.22/5.02	*new_primMulNat(Succ(yu30000), Succ(yu4000100)) -> new_primMulNat(yu30000, Succ(yu4000100))
13.22/5.02	The graph contains the following edges 1 > 1, 2 >= 2
13.22/5.02	
13.22/5.02	
13.22/5.02	----------------------------------------
13.22/5.02	
13.22/5.02	(21)
13.22/5.02	YES
13.22/5.02	
13.22/5.02	----------------------------------------
13.22/5.02	
13.22/5.02	(22)
13.22/5.02	Obligation:
13.22/5.02	Q DP problem:
13.22/5.02	The TRS P consists of the following rules:
13.22/5.02	
13.22/5.02	   new_primPlusNat(Succ(yu2900), Succ(yu40001000)) -> new_primPlusNat(yu2900, yu40001000)
13.22/5.02	
13.22/5.02	R is empty.
13.22/5.02	Q is empty.
13.22/5.02	We have to consider all minimal (P,Q,R)-chains.
13.22/5.02	----------------------------------------
13.22/5.02	
13.22/5.02	(23) QDPSizeChangeProof (EQUIVALENT)
13.22/5.02	By using the subterm criterion [SUBTERM_CRITERION] together with the size-change analysis [AAECC05] we have proven that there are no infinite chains for this DP problem. 
13.22/5.02	
13.22/5.02	From the DPs we obtained the following set of size-change graphs:
13.22/5.02	*new_primPlusNat(Succ(yu2900), Succ(yu40001000)) -> new_primPlusNat(yu2900, yu40001000)
13.22/5.02	The graph contains the following edges 1 > 1, 2 > 2
13.22/5.02	
13.22/5.02	
13.22/5.02	----------------------------------------
13.22/5.02	
13.22/5.02	(24)
13.22/5.02	YES
13.22/5.02	
13.22/5.02	----------------------------------------
13.22/5.02	
13.22/5.02	(25)
13.22/5.02	Obligation:
13.22/5.02	Q DP problem:
13.22/5.02	The TRS P consists of the following rules:
13.22/5.02	
13.22/5.02	   new_primEqNat(Succ(yu3000), Succ(yu400000)) -> new_primEqNat(yu3000, yu400000)
13.22/5.02	
13.22/5.02	R is empty.
13.22/5.02	Q is empty.
13.22/5.02	We have to consider all minimal (P,Q,R)-chains.
13.22/5.02	----------------------------------------
13.22/5.02	
13.22/5.02	(26) QDPSizeChangeProof (EQUIVALENT)
13.22/5.02	By using the subterm criterion [SUBTERM_CRITERION] together with the size-change analysis [AAECC05] we have proven that there are no infinite chains for this DP problem. 
13.22/5.02	
13.22/5.02	From the DPs we obtained the following set of size-change graphs:
13.22/5.02	*new_primEqNat(Succ(yu3000), Succ(yu400000)) -> new_primEqNat(yu3000, yu400000)
13.22/5.02	The graph contains the following edges 1 > 1, 2 > 2
13.22/5.02	
13.22/5.02	
13.22/5.02	----------------------------------------
13.22/5.02	
13.22/5.02	(27)
13.22/5.02	YES
13.33/5.11	EOF