11.35/4.69	YES
13.58/5.32	proof of /export/starexec/sandbox/benchmark/theBenchmark.hs
13.58/5.32	# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty
13.58/5.32	
13.58/5.32	
13.58/5.32	H-Termination with start terms of the given HASKELL could be proven:
13.58/5.32	
13.58/5.32	(0) HASKELL
13.58/5.32	(1) LR [EQUIVALENT, 0 ms]
13.58/5.32	(2) HASKELL
13.58/5.32	(3) BR [EQUIVALENT, 0 ms]
13.58/5.32	(4) HASKELL
13.58/5.32	(5) COR [EQUIVALENT, 0 ms]
13.58/5.32	(6) HASKELL
13.58/5.32	(7) LetRed [EQUIVALENT, 0 ms]
13.58/5.32	(8) HASKELL
13.58/5.32	(9) Narrow [SOUND, 0 ms]
13.58/5.32	(10) AND
13.58/5.32	    (11) QDP
13.58/5.32	        (12) QDPSizeChangeProof [EQUIVALENT, 0 ms]
13.58/5.32	        (13) YES
13.58/5.32	    (14) QDP
13.58/5.32	        (15) QDPSizeChangeProof [EQUIVALENT, 0 ms]
13.58/5.32	        (16) YES
13.58/5.32	    (17) QDP
13.58/5.32	        (18) QDPSizeChangeProof [EQUIVALENT, 13 ms]
13.58/5.32	        (19) YES
13.58/5.32	
13.58/5.32	
13.58/5.32	----------------------------------------
13.58/5.32	
13.58/5.32	(0)
13.58/5.32	Obligation:
13.58/5.32	mainModule Main 
13.58/5.32	module Maybe where {
13.58/5.32	import qualified List;
13.58/5.32	import qualified Main;
13.58/5.32	import qualified Prelude;
13.58/5.32	}
13.58/5.32	module List where {
13.58/5.32	import qualified Main;
13.58/5.32	import qualified Maybe;
13.58/5.32	import qualified Prelude;
13.58/5.32	group :: Eq a => [a]  ->  [[a]];
13.58/5.32	group = groupBy (==);
13.58/5.32	
13.58/5.32	groupBy :: (a  ->  a  ->  Bool)  ->  [a]  ->  [[a]];
13.58/5.32	groupBy _ [] = [];
13.58/5.32	groupBy eq (x : xs) = (x : ys) : groupBy eq zs where { 
13.58/5.32	vv10 = span (eq x) xs;
13.58/5.32	ys = (\(ys,_) ->ys) vv10;
13.58/5.32	zs = (\(_,zs) ->zs) vv10;
13.58/5.32	 };
13.58/5.32	
13.58/5.32	}
13.58/5.32	module Main where {
13.58/5.32	import qualified List;
13.58/5.32	import qualified Maybe;
13.58/5.32	import qualified Prelude;
13.58/5.32	}
13.58/5.32	
13.58/5.32	----------------------------------------
13.58/5.32	
13.58/5.32	(1) LR (EQUIVALENT)
13.58/5.32	Lambda Reductions:
13.58/5.32	The following Lambda expression
13.58/5.32	"\(_,zs)->zs"
13.58/5.32	is transformed to
13.58/5.32	"zs0 (_,zs) = zs;
13.58/5.32	"
13.58/5.32	The following Lambda expression
13.58/5.32	"\(ys,_)->ys"
13.58/5.32	is transformed to
13.58/5.32	"ys0 (ys,_) = ys;
13.58/5.32	"
13.58/5.32	The following Lambda expression
13.58/5.32	"\(_,zs)->zs"
13.58/5.32	is transformed to
13.58/5.32	"zs1 (_,zs) = zs;
13.58/5.32	"
13.58/5.32	The following Lambda expression
13.58/5.32	"\(ys,_)->ys"
13.58/5.32	is transformed to
13.58/5.32	"ys1 (ys,_) = ys;
13.58/5.32	"
13.58/5.32	
13.58/5.32	----------------------------------------
13.58/5.32	
13.58/5.32	(2)
13.58/5.32	Obligation:
13.58/5.32	mainModule Main 
13.58/5.32	module Maybe where {
13.58/5.32	import qualified List;
13.58/5.32	import qualified Main;
13.58/5.32	import qualified Prelude;
13.58/5.32	}
13.58/5.32	module List where {
13.58/5.32	import qualified Main;
13.58/5.32	import qualified Maybe;
13.58/5.32	import qualified Prelude;
13.58/5.32	group :: Eq a => [a]  ->  [[a]];
13.58/5.32	group = groupBy (==);
13.58/5.32	
13.58/5.32	groupBy :: (a  ->  a  ->  Bool)  ->  [a]  ->  [[a]];
13.58/5.32	groupBy _ [] = [];
13.58/5.32	groupBy eq (x : xs) = (x : ys) : groupBy eq zs where { 
13.58/5.32	vv10 = span (eq x) xs;
13.58/5.32	ys = ys1 vv10;
13.58/5.32	ys1 (ys,_) = ys;
13.58/5.32	zs = zs1 vv10;
13.58/5.32	zs1 (_,zs) = zs;
13.58/5.32	 };
13.58/5.32	
13.58/5.32	}
13.58/5.32	module Main where {
13.58/5.32	import qualified List;
13.58/5.32	import qualified Maybe;
13.58/5.32	import qualified Prelude;
13.58/5.32	}
13.58/5.32	
13.58/5.32	----------------------------------------
13.58/5.32	
13.58/5.32	(3) BR (EQUIVALENT)
13.58/5.32	Replaced joker patterns by fresh variables and removed binding patterns.
13.58/5.32	
13.58/5.32	Binding Reductions:
13.58/5.32	The bind variable of the following binding Pattern
13.58/5.32	"xs@(vy : vz)"
13.58/5.32	is replaced by the following term
13.58/5.32	"vy : vz"
13.58/5.32	
13.58/5.32	----------------------------------------
13.58/5.32	
13.58/5.32	(4)
13.58/5.32	Obligation:
13.58/5.32	mainModule Main 
13.58/5.32	module Maybe where {
13.58/5.32	import qualified List;
13.58/5.32	import qualified Main;
13.58/5.32	import qualified Prelude;
13.58/5.32	}
13.58/5.32	module List where {
13.58/5.32	import qualified Main;
13.58/5.32	import qualified Maybe;
13.58/5.32	import qualified Prelude;
13.58/5.32	group :: Eq a => [a]  ->  [[a]];
13.58/5.32	group = groupBy (==);
13.58/5.32	
13.58/5.32	groupBy :: (a  ->  a  ->  Bool)  ->  [a]  ->  [[a]];
13.58/5.32	groupBy ww [] = [];
13.58/5.32	groupBy eq (x : xs) = (x : ys) : groupBy eq zs where { 
13.58/5.32	vv10 = span (eq x) xs;
13.58/5.32	ys = ys1 vv10;
13.58/5.32	ys1 (ys,wx) = ys;
13.58/5.32	zs = zs1 vv10;
13.58/5.32	zs1 (wy,zs) = zs;
13.58/5.32	 };
13.58/5.32	
13.58/5.32	}
13.58/5.32	module Main where {
13.58/5.32	import qualified List;
13.58/5.32	import qualified Maybe;
13.58/5.32	import qualified Prelude;
13.58/5.32	}
13.58/5.32	
13.58/5.32	----------------------------------------
13.58/5.32	
13.58/5.32	(5) COR (EQUIVALENT)
13.58/5.32	Cond Reductions:
13.58/5.32	The following Function with conditions
13.58/5.32	"undefined |Falseundefined;
13.58/5.32	"
13.58/5.32	is transformed to
13.58/5.32	"undefined  = undefined1;
13.58/5.32	"
13.58/5.32	"undefined0 True = undefined;
13.58/5.32	"
13.58/5.32	"undefined1  = undefined0 False;
13.58/5.32	"
13.58/5.32	The following Function with conditions
13.58/5.32	"span p [] = ([],[]);
13.58/5.32	span p (vy : vz)|p vy(vy : ys,zs)|otherwise([],vy : vz) where {
13.58/5.32	vu43  = span p vz;
13.58/5.32	;
13.58/5.32	ys  = ys0 vu43;
13.58/5.32	;
13.58/5.32	ys0 (ys,wv) = ys;
13.58/5.32	;
13.58/5.32	zs  = zs0 vu43;
13.58/5.32	;
13.58/5.32	zs0 (wu,zs) = zs;
13.58/5.32	} 
13.58/5.32	;
13.58/5.32	"
13.58/5.32	is transformed to
13.58/5.32	"span p [] = span3 p [];
13.58/5.32	span p (vy : vz) = span2 p (vy : vz);
13.58/5.32	"
13.58/5.32	"span2 p (vy : vz) = span1 p vy vz (p vy) where {
13.58/5.32	span0 p vy vz True = ([],vy : vz);
13.58/5.32	;
13.58/5.32	span1 p vy vz True = (vy : ys,zs);
13.58/5.32	span1 p vy vz False = span0 p vy vz otherwise;
13.58/5.32	;
13.58/5.32	vu43  = span p vz;
13.58/5.32	;
13.58/5.32	ys  = ys0 vu43;
13.58/5.32	;
13.58/5.32	ys0 (ys,wv) = ys;
13.58/5.32	;
13.58/5.32	zs  = zs0 vu43;
13.58/5.32	;
13.58/5.32	zs0 (wu,zs) = zs;
13.58/5.32	} 
13.58/5.32	;
13.58/5.32	"
13.58/5.32	"span3 p [] = ([],[]);
13.58/5.32	span3 xv xw = span2 xv xw;
13.58/5.32	"
13.58/5.32	
13.58/5.32	----------------------------------------
13.58/5.32	
13.58/5.32	(6)
13.58/5.32	Obligation:
13.58/5.32	mainModule Main 
13.58/5.32	module Maybe where {
13.58/5.32	import qualified List;
13.58/5.32	import qualified Main;
13.58/5.32	import qualified Prelude;
13.58/5.32	}
13.58/5.32	module List where {
13.58/5.32	import qualified Main;
13.58/5.32	import qualified Maybe;
13.58/5.32	import qualified Prelude;
13.58/5.32	group :: Eq a => [a]  ->  [[a]];
13.58/5.32	group = groupBy (==);
13.58/5.32	
13.58/5.32	groupBy :: (a  ->  a  ->  Bool)  ->  [a]  ->  [[a]];
13.58/5.32	groupBy ww [] = [];
13.58/5.32	groupBy eq (x : xs) = (x : ys) : groupBy eq zs where { 
13.58/5.32	vv10 = span (eq x) xs;
13.58/5.32	ys = ys1 vv10;
13.58/5.32	ys1 (ys,wx) = ys;
13.58/5.32	zs = zs1 vv10;
13.58/5.32	zs1 (wy,zs) = zs;
13.58/5.32	 };
13.58/5.32	
13.58/5.32	}
13.58/5.32	module Main where {
13.58/5.32	import qualified List;
13.58/5.32	import qualified Maybe;
13.58/5.32	import qualified Prelude;
13.58/5.32	}
13.58/5.32	
13.58/5.32	----------------------------------------
13.58/5.32	
13.58/5.32	(7) LetRed (EQUIVALENT)
13.58/5.32	Let/Where Reductions:
13.58/5.32	The bindings of the following Let/Where expression
13.58/5.32	"span1 p vy vz (p vy) where {
13.58/5.32	span0 p vy vz True = ([],vy : vz);
13.58/5.32	;
13.58/5.32	span1 p vy vz True = (vy : ys,zs);
13.58/5.32	span1 p vy vz False = span0 p vy vz otherwise;
13.58/5.32	;
13.58/5.32	vu43  = span p vz;
13.58/5.32	;
13.58/5.32	ys  = ys0 vu43;
13.58/5.32	;
13.58/5.32	ys0 (ys,wv) = ys;
13.58/5.32	;
13.58/5.32	zs  = zs0 vu43;
13.58/5.32	;
13.58/5.32	zs0 (wu,zs) = zs;
13.58/5.32	} 
13.58/5.32	"
13.58/5.32	are unpacked to the following functions on top level
13.58/5.32	"span2Ys xx xy = span2Ys0 xx xy (span2Vu43 xx xy);
13.58/5.32	"
13.58/5.32	"span2Vu43 xx xy = span xx xy;
13.58/5.32	"
13.58/5.32	"span2Span0 xx xy p vy vz True = ([],vy : vz);
13.58/5.32	"
13.58/5.32	"span2Ys0 xx xy (ys,wv) = ys;
13.58/5.32	"
13.58/5.32	"span2Span1 xx xy p vy vz True = (vy : span2Ys xx xy,span2Zs xx xy);
13.58/5.32	span2Span1 xx xy p vy vz False = span2Span0 xx xy p vy vz otherwise;
13.58/5.32	"
13.58/5.32	"span2Zs0 xx xy (wu,zs) = zs;
13.58/5.32	"
13.58/5.32	"span2Zs xx xy = span2Zs0 xx xy (span2Vu43 xx xy);
13.58/5.32	"
13.58/5.32	The bindings of the following Let/Where expression
13.58/5.32	"(x : ys) : groupBy eq zs where {
13.58/5.32	vv10  = span (eq x) xs;
13.58/5.32	;
13.58/5.32	ys  = ys1 vv10;
13.58/5.32	;
13.58/5.32	ys1 (ys,wx) = ys;
13.58/5.32	;
13.58/5.32	zs  = zs1 vv10;
13.58/5.32	;
13.58/5.32	zs1 (wy,zs) = zs;
13.58/5.32	} 
13.58/5.32	"
13.58/5.32	are unpacked to the following functions on top level
13.58/5.32	"groupByYs1 xz yu yv (ys,wx) = ys;
13.58/5.32	"
13.58/5.32	"groupByZs1 xz yu yv (wy,zs) = zs;
13.58/5.32	"
13.58/5.32	"groupByZs xz yu yv = groupByZs1 xz yu yv (groupByVv10 xz yu yv);
13.58/5.32	"
13.58/5.32	"groupByVv10 xz yu yv = span (xz yu) yv;
13.58/5.32	"
13.58/5.32	"groupByYs xz yu yv = groupByYs1 xz yu yv (groupByVv10 xz yu yv);
13.58/5.32	"
13.58/5.32	
13.58/5.32	----------------------------------------
13.58/5.32	
13.58/5.32	(8)
13.58/5.32	Obligation:
13.58/5.32	mainModule Main 
13.58/5.32	module Maybe where {
13.58/5.32	import qualified List;
13.58/5.32	import qualified Main;
13.58/5.32	import qualified Prelude;
13.58/5.32	}
13.58/5.32	module List where {
13.58/5.32	import qualified Main;
13.58/5.32	import qualified Maybe;
13.58/5.32	import qualified Prelude;
13.58/5.32	group :: Eq a => [a]  ->  [[a]];
13.58/5.32	group = groupBy (==);
13.58/5.32	
13.58/5.32	groupBy :: (a  ->  a  ->  Bool)  ->  [a]  ->  [[a]];
13.58/5.32	groupBy ww [] = [];
13.58/5.32	groupBy eq (x : xs) = (x : groupByYs eq x xs) : groupBy eq (groupByZs eq x xs);
13.58/5.32	
13.58/5.32	groupByVv10 xz yu yv = span (xz yu) yv;
13.58/5.32	
13.58/5.32	groupByYs xz yu yv = groupByYs1 xz yu yv (groupByVv10 xz yu yv);
13.58/5.32	
13.58/5.32	groupByYs1 xz yu yv (ys,wx) = ys;
13.58/5.32	
13.58/5.32	groupByZs xz yu yv = groupByZs1 xz yu yv (groupByVv10 xz yu yv);
13.58/5.32	
13.58/5.32	groupByZs1 xz yu yv (wy,zs) = zs;
13.58/5.32	
13.58/5.32	}
13.58/5.32	module Main where {
13.58/5.32	import qualified List;
13.58/5.32	import qualified Maybe;
13.58/5.32	import qualified Prelude;
13.58/5.32	}
13.58/5.32	
13.58/5.32	----------------------------------------
13.58/5.32	
13.58/5.32	(9) Narrow (SOUND)
13.58/5.32	Haskell To QDPs
13.58/5.32	
13.58/5.32	digraph dp_graph {
13.58/5.32	node [outthreshold=100, inthreshold=100];1[label="List.group",fontsize=16,color="grey",shape="box"];1 -> 3[label="",style="dashed", color="grey", weight=3];
13.58/5.32	3[label="List.group yw3",fontsize=16,color="black",shape="triangle"];3 -> 4[label="",style="solid", color="black", weight=3];
13.58/5.32	4[label="List.groupBy (==) yw3",fontsize=16,color="burlywood",shape="triangle"];172[label="yw3/yw30 : yw31",fontsize=10,color="white",style="solid",shape="box"];4 -> 172[label="",style="solid", color="burlywood", weight=9];
13.58/5.32	172 -> 5[label="",style="solid", color="burlywood", weight=3];
13.58/5.32	173[label="yw3/[]",fontsize=10,color="white",style="solid",shape="box"];4 -> 173[label="",style="solid", color="burlywood", weight=9];
13.58/5.32	173 -> 6[label="",style="solid", color="burlywood", weight=3];
13.58/5.32	5[label="List.groupBy (==) (yw30 : yw31)",fontsize=16,color="black",shape="box"];5 -> 7[label="",style="solid", color="black", weight=3];
13.58/5.32	6[label="List.groupBy (==) []",fontsize=16,color="black",shape="box"];6 -> 8[label="",style="solid", color="black", weight=3];
13.58/5.32	7[label="(yw30 : List.groupByYs (==) yw30 yw31) : List.groupBy (==) (List.groupByZs (==) yw30 yw31)",fontsize=16,color="green",shape="box"];7 -> 9[label="",style="dashed", color="green", weight=3];
13.58/5.32	7 -> 10[label="",style="dashed", color="green", weight=3];
13.58/5.32	8[label="[]",fontsize=16,color="green",shape="box"];9[label="List.groupByYs (==) yw30 yw31",fontsize=16,color="black",shape="box"];9 -> 11[label="",style="solid", color="black", weight=3];
13.58/5.32	10 -> 4[label="",style="dashed", color="red", weight=0];
13.58/5.32	10[label="List.groupBy (==) (List.groupByZs (==) yw30 yw31)",fontsize=16,color="magenta"];10 -> 12[label="",style="dashed", color="magenta", weight=3];
13.58/5.32	11[label="List.groupByYs1 (==) yw30 yw31 (List.groupByVv10 (==) yw30 yw31)",fontsize=16,color="black",shape="box"];11 -> 13[label="",style="solid", color="black", weight=3];
13.58/5.32	12[label="List.groupByZs (==) yw30 yw31",fontsize=16,color="black",shape="box"];12 -> 14[label="",style="solid", color="black", weight=3];
13.58/5.32	13[label="List.groupByYs1 (==) yw30 yw31 (span ((==) yw30) yw31)",fontsize=16,color="burlywood",shape="box"];174[label="yw31/yw310 : yw311",fontsize=10,color="white",style="solid",shape="box"];13 -> 174[label="",style="solid", color="burlywood", weight=9];
13.58/5.32	174 -> 15[label="",style="solid", color="burlywood", weight=3];
13.58/5.32	175[label="yw31/[]",fontsize=10,color="white",style="solid",shape="box"];13 -> 175[label="",style="solid", color="burlywood", weight=9];
13.58/5.32	175 -> 16[label="",style="solid", color="burlywood", weight=3];
13.58/5.32	14[label="List.groupByZs1 (==) yw30 yw31 (List.groupByVv10 (==) yw30 yw31)",fontsize=16,color="black",shape="box"];14 -> 17[label="",style="solid", color="black", weight=3];
13.58/5.32	15[label="List.groupByYs1 (==) yw30 (yw310 : yw311) (span ((==) yw30) (yw310 : yw311))",fontsize=16,color="black",shape="box"];15 -> 18[label="",style="solid", color="black", weight=3];
13.58/5.32	16[label="List.groupByYs1 (==) yw30 [] (span ((==) yw30) [])",fontsize=16,color="black",shape="box"];16 -> 19[label="",style="solid", color="black", weight=3];
13.58/5.32	17[label="List.groupByZs1 (==) yw30 yw31 (span ((==) yw30) yw31)",fontsize=16,color="burlywood",shape="box"];176[label="yw31/yw310 : yw311",fontsize=10,color="white",style="solid",shape="box"];17 -> 176[label="",style="solid", color="burlywood", weight=9];
13.58/5.32	176 -> 20[label="",style="solid", color="burlywood", weight=3];
13.58/5.32	177[label="yw31/[]",fontsize=10,color="white",style="solid",shape="box"];17 -> 177[label="",style="solid", color="burlywood", weight=9];
13.58/5.32	177 -> 21[label="",style="solid", color="burlywood", weight=3];
13.58/5.32	18[label="List.groupByYs1 (==) yw30 (yw310 : yw311) (span2 ((==) yw30) (yw310 : yw311))",fontsize=16,color="black",shape="box"];18 -> 22[label="",style="solid", color="black", weight=3];
13.58/5.32	19[label="List.groupByYs1 (==) yw30 [] (span3 ((==) yw30) [])",fontsize=16,color="black",shape="box"];19 -> 23[label="",style="solid", color="black", weight=3];
13.58/5.32	20[label="List.groupByZs1 (==) yw30 (yw310 : yw311) (span ((==) yw30) (yw310 : yw311))",fontsize=16,color="black",shape="box"];20 -> 24[label="",style="solid", color="black", weight=3];
13.58/5.32	21[label="List.groupByZs1 (==) yw30 [] (span ((==) yw30) [])",fontsize=16,color="black",shape="box"];21 -> 25[label="",style="solid", color="black", weight=3];
13.58/5.32	22[label="List.groupByYs1 (==) yw30 (yw310 : yw311) (span2Span1 ((==) yw30) yw311 ((==) yw30) yw310 yw311 ((==) yw30 yw310))",fontsize=16,color="burlywood",shape="box"];178[label="yw30/False",fontsize=10,color="white",style="solid",shape="box"];22 -> 178[label="",style="solid", color="burlywood", weight=9];
13.58/5.32	178 -> 26[label="",style="solid", color="burlywood", weight=3];
13.58/5.32	179[label="yw30/True",fontsize=10,color="white",style="solid",shape="box"];22 -> 179[label="",style="solid", color="burlywood", weight=9];
13.58/5.32	179 -> 27[label="",style="solid", color="burlywood", weight=3];
13.58/5.32	23[label="List.groupByYs1 (==) yw30 [] ([],[])",fontsize=16,color="black",shape="box"];23 -> 28[label="",style="solid", color="black", weight=3];
13.58/5.32	24[label="List.groupByZs1 (==) yw30 (yw310 : yw311) (span2 ((==) yw30) (yw310 : yw311))",fontsize=16,color="black",shape="box"];24 -> 29[label="",style="solid", color="black", weight=3];
13.58/5.32	25[label="List.groupByZs1 (==) yw30 [] (span3 ((==) yw30) [])",fontsize=16,color="black",shape="box"];25 -> 30[label="",style="solid", color="black", weight=3];
13.58/5.32	26[label="List.groupByYs1 (==) False (yw310 : yw311) (span2Span1 ((==) False) yw311 ((==) False) yw310 yw311 ((==) False yw310))",fontsize=16,color="burlywood",shape="box"];180[label="yw310/False",fontsize=10,color="white",style="solid",shape="box"];26 -> 180[label="",style="solid", color="burlywood", weight=9];
13.58/5.32	180 -> 31[label="",style="solid", color="burlywood", weight=3];
13.58/5.32	181[label="yw310/True",fontsize=10,color="white",style="solid",shape="box"];26 -> 181[label="",style="solid", color="burlywood", weight=9];
13.58/5.32	181 -> 32[label="",style="solid", color="burlywood", weight=3];
13.58/5.32	27[label="List.groupByYs1 (==) True (yw310 : yw311) (span2Span1 ((==) True) yw311 ((==) True) yw310 yw311 ((==) True yw310))",fontsize=16,color="burlywood",shape="box"];182[label="yw310/False",fontsize=10,color="white",style="solid",shape="box"];27 -> 182[label="",style="solid", color="burlywood", weight=9];
13.58/5.32	182 -> 33[label="",style="solid", color="burlywood", weight=3];
13.58/5.32	183[label="yw310/True",fontsize=10,color="white",style="solid",shape="box"];27 -> 183[label="",style="solid", color="burlywood", weight=9];
13.58/5.32	183 -> 34[label="",style="solid", color="burlywood", weight=3];
13.58/5.32	28[label="[]",fontsize=16,color="green",shape="box"];29[label="List.groupByZs1 (==) yw30 (yw310 : yw311) (span2Span1 ((==) yw30) yw311 ((==) yw30) yw310 yw311 ((==) yw30 yw310))",fontsize=16,color="burlywood",shape="box"];184[label="yw30/False",fontsize=10,color="white",style="solid",shape="box"];29 -> 184[label="",style="solid", color="burlywood", weight=9];
13.58/5.32	184 -> 35[label="",style="solid", color="burlywood", weight=3];
13.58/5.32	185[label="yw30/True",fontsize=10,color="white",style="solid",shape="box"];29 -> 185[label="",style="solid", color="burlywood", weight=9];
13.58/5.32	185 -> 36[label="",style="solid", color="burlywood", weight=3];
13.58/5.32	30[label="List.groupByZs1 (==) yw30 [] ([],[])",fontsize=16,color="black",shape="box"];30 -> 37[label="",style="solid", color="black", weight=3];
13.58/5.32	31[label="List.groupByYs1 (==) False (False : yw311) (span2Span1 ((==) False) yw311 ((==) False) False yw311 ((==) False False))",fontsize=16,color="black",shape="box"];31 -> 38[label="",style="solid", color="black", weight=3];
13.58/5.32	32[label="List.groupByYs1 (==) False (True : yw311) (span2Span1 ((==) False) yw311 ((==) False) True yw311 ((==) False True))",fontsize=16,color="black",shape="box"];32 -> 39[label="",style="solid", color="black", weight=3];
13.58/5.32	33[label="List.groupByYs1 (==) True (False : yw311) (span2Span1 ((==) True) yw311 ((==) True) False yw311 ((==) True False))",fontsize=16,color="black",shape="box"];33 -> 40[label="",style="solid", color="black", weight=3];
13.58/5.32	34[label="List.groupByYs1 (==) True (True : yw311) (span2Span1 ((==) True) yw311 ((==) True) True yw311 ((==) True True))",fontsize=16,color="black",shape="box"];34 -> 41[label="",style="solid", color="black", weight=3];
13.58/5.32	35[label="List.groupByZs1 (==) False (yw310 : yw311) (span2Span1 ((==) False) yw311 ((==) False) yw310 yw311 ((==) False yw310))",fontsize=16,color="burlywood",shape="box"];186[label="yw310/False",fontsize=10,color="white",style="solid",shape="box"];35 -> 186[label="",style="solid", color="burlywood", weight=9];
13.58/5.32	186 -> 42[label="",style="solid", color="burlywood", weight=3];
13.58/5.32	187[label="yw310/True",fontsize=10,color="white",style="solid",shape="box"];35 -> 187[label="",style="solid", color="burlywood", weight=9];
13.58/5.32	187 -> 43[label="",style="solid", color="burlywood", weight=3];
13.58/5.32	36[label="List.groupByZs1 (==) True (yw310 : yw311) (span2Span1 ((==) True) yw311 ((==) True) yw310 yw311 ((==) True yw310))",fontsize=16,color="burlywood",shape="box"];188[label="yw310/False",fontsize=10,color="white",style="solid",shape="box"];36 -> 188[label="",style="solid", color="burlywood", weight=9];
13.58/5.32	188 -> 44[label="",style="solid", color="burlywood", weight=3];
13.58/5.32	189[label="yw310/True",fontsize=10,color="white",style="solid",shape="box"];36 -> 189[label="",style="solid", color="burlywood", weight=9];
13.58/5.32	189 -> 45[label="",style="solid", color="burlywood", weight=3];
13.58/5.32	37[label="[]",fontsize=16,color="green",shape="box"];38[label="List.groupByYs1 (==) False (False : yw311) (span2Span1 ((==) False) yw311 ((==) False) False yw311 True)",fontsize=16,color="black",shape="box"];38 -> 46[label="",style="solid", color="black", weight=3];
13.58/5.32	39[label="List.groupByYs1 (==) False (True : yw311) (span2Span1 ((==) False) yw311 ((==) False) True yw311 False)",fontsize=16,color="black",shape="box"];39 -> 47[label="",style="solid", color="black", weight=3];
13.58/5.32	40[label="List.groupByYs1 (==) True (False : yw311) (span2Span1 ((==) True) yw311 ((==) True) False yw311 False)",fontsize=16,color="black",shape="box"];40 -> 48[label="",style="solid", color="black", weight=3];
13.58/5.32	41[label="List.groupByYs1 (==) True (True : yw311) (span2Span1 ((==) True) yw311 ((==) True) True yw311 True)",fontsize=16,color="black",shape="box"];41 -> 49[label="",style="solid", color="black", weight=3];
13.58/5.32	42[label="List.groupByZs1 (==) False (False : yw311) (span2Span1 ((==) False) yw311 ((==) False) False yw311 ((==) False False))",fontsize=16,color="black",shape="box"];42 -> 50[label="",style="solid", color="black", weight=3];
13.58/5.32	43[label="List.groupByZs1 (==) False (True : yw311) (span2Span1 ((==) False) yw311 ((==) False) True yw311 ((==) False True))",fontsize=16,color="black",shape="box"];43 -> 51[label="",style="solid", color="black", weight=3];
13.58/5.32	44[label="List.groupByZs1 (==) True (False : yw311) (span2Span1 ((==) True) yw311 ((==) True) False yw311 ((==) True False))",fontsize=16,color="black",shape="box"];44 -> 52[label="",style="solid", color="black", weight=3];
13.58/5.32	45[label="List.groupByZs1 (==) True (True : yw311) (span2Span1 ((==) True) yw311 ((==) True) True yw311 ((==) True True))",fontsize=16,color="black",shape="box"];45 -> 53[label="",style="solid", color="black", weight=3];
13.58/5.32	46[label="List.groupByYs1 (==) False (False : yw311) (False : span2Ys ((==) False) yw311,span2Zs ((==) False) yw311)",fontsize=16,color="black",shape="box"];46 -> 54[label="",style="solid", color="black", weight=3];
13.58/5.32	47[label="List.groupByYs1 (==) False (True : yw311) (span2Span0 ((==) False) yw311 ((==) False) True yw311 otherwise)",fontsize=16,color="black",shape="box"];47 -> 55[label="",style="solid", color="black", weight=3];
13.58/5.32	48[label="List.groupByYs1 (==) True (False : yw311) (span2Span0 ((==) True) yw311 ((==) True) False yw311 otherwise)",fontsize=16,color="black",shape="box"];48 -> 56[label="",style="solid", color="black", weight=3];
13.58/5.32	49[label="List.groupByYs1 (==) True (True : yw311) (True : span2Ys ((==) True) yw311,span2Zs ((==) True) yw311)",fontsize=16,color="black",shape="box"];49 -> 57[label="",style="solid", color="black", weight=3];
13.58/5.32	50[label="List.groupByZs1 (==) False (False : yw311) (span2Span1 ((==) False) yw311 ((==) False) False yw311 True)",fontsize=16,color="black",shape="box"];50 -> 58[label="",style="solid", color="black", weight=3];
13.58/5.32	51[label="List.groupByZs1 (==) False (True : yw311) (span2Span1 ((==) False) yw311 ((==) False) True yw311 False)",fontsize=16,color="black",shape="box"];51 -> 59[label="",style="solid", color="black", weight=3];
13.58/5.32	52[label="List.groupByZs1 (==) True (False : yw311) (span2Span1 ((==) True) yw311 ((==) True) False yw311 False)",fontsize=16,color="black",shape="box"];52 -> 60[label="",style="solid", color="black", weight=3];
13.58/5.32	53[label="List.groupByZs1 (==) True (True : yw311) (span2Span1 ((==) True) yw311 ((==) True) True yw311 True)",fontsize=16,color="black",shape="box"];53 -> 61[label="",style="solid", color="black", weight=3];
13.58/5.32	54[label="False : span2Ys ((==) False) yw311",fontsize=16,color="green",shape="box"];54 -> 62[label="",style="dashed", color="green", weight=3];
13.58/5.32	55[label="List.groupByYs1 (==) False (True : yw311) (span2Span0 ((==) False) yw311 ((==) False) True yw311 True)",fontsize=16,color="black",shape="box"];55 -> 63[label="",style="solid", color="black", weight=3];
13.58/5.32	56[label="List.groupByYs1 (==) True (False : yw311) (span2Span0 ((==) True) yw311 ((==) True) False yw311 True)",fontsize=16,color="black",shape="box"];56 -> 64[label="",style="solid", color="black", weight=3];
13.58/5.32	57[label="True : span2Ys ((==) True) yw311",fontsize=16,color="green",shape="box"];57 -> 65[label="",style="dashed", color="green", weight=3];
13.58/5.32	58[label="List.groupByZs1 (==) False (False : yw311) (False : span2Ys ((==) False) yw311,span2Zs ((==) False) yw311)",fontsize=16,color="black",shape="box"];58 -> 66[label="",style="solid", color="black", weight=3];
13.58/5.32	59[label="List.groupByZs1 (==) False (True : yw311) (span2Span0 ((==) False) yw311 ((==) False) True yw311 otherwise)",fontsize=16,color="black",shape="box"];59 -> 67[label="",style="solid", color="black", weight=3];
13.58/5.32	60[label="List.groupByZs1 (==) True (False : yw311) (span2Span0 ((==) True) yw311 ((==) True) False yw311 otherwise)",fontsize=16,color="black",shape="box"];60 -> 68[label="",style="solid", color="black", weight=3];
13.58/5.32	61[label="List.groupByZs1 (==) True (True : yw311) (True : span2Ys ((==) True) yw311,span2Zs ((==) True) yw311)",fontsize=16,color="black",shape="box"];61 -> 69[label="",style="solid", color="black", weight=3];
13.58/5.32	62[label="span2Ys ((==) False) yw311",fontsize=16,color="black",shape="triangle"];62 -> 70[label="",style="solid", color="black", weight=3];
13.58/5.32	63[label="List.groupByYs1 (==) False (True : yw311) ([],True : yw311)",fontsize=16,color="black",shape="box"];63 -> 71[label="",style="solid", color="black", weight=3];
13.58/5.32	64[label="List.groupByYs1 (==) True (False : yw311) ([],False : yw311)",fontsize=16,color="black",shape="box"];64 -> 72[label="",style="solid", color="black", weight=3];
13.58/5.32	65[label="span2Ys ((==) True) yw311",fontsize=16,color="black",shape="triangle"];65 -> 73[label="",style="solid", color="black", weight=3];
13.58/5.32	66[label="span2Zs ((==) False) yw311",fontsize=16,color="black",shape="triangle"];66 -> 74[label="",style="solid", color="black", weight=3];
13.58/5.32	67[label="List.groupByZs1 (==) False (True : yw311) (span2Span0 ((==) False) yw311 ((==) False) True yw311 True)",fontsize=16,color="black",shape="box"];67 -> 75[label="",style="solid", color="black", weight=3];
13.58/5.32	68[label="List.groupByZs1 (==) True (False : yw311) (span2Span0 ((==) True) yw311 ((==) True) False yw311 True)",fontsize=16,color="black",shape="box"];68 -> 76[label="",style="solid", color="black", weight=3];
13.58/5.32	69[label="span2Zs ((==) True) yw311",fontsize=16,color="black",shape="triangle"];69 -> 77[label="",style="solid", color="black", weight=3];
13.58/5.32	70[label="span2Ys0 ((==) False) yw311 (span2Vu43 ((==) False) yw311)",fontsize=16,color="black",shape="box"];70 -> 78[label="",style="solid", color="black", weight=3];
13.58/5.32	71[label="[]",fontsize=16,color="green",shape="box"];72[label="[]",fontsize=16,color="green",shape="box"];73[label="span2Ys0 ((==) True) yw311 (span2Vu43 ((==) True) yw311)",fontsize=16,color="black",shape="box"];73 -> 79[label="",style="solid", color="black", weight=3];
13.58/5.32	74[label="span2Zs0 ((==) False) yw311 (span2Vu43 ((==) False) yw311)",fontsize=16,color="black",shape="box"];74 -> 80[label="",style="solid", color="black", weight=3];
13.58/5.32	75[label="List.groupByZs1 (==) False (True : yw311) ([],True : yw311)",fontsize=16,color="black",shape="box"];75 -> 81[label="",style="solid", color="black", weight=3];
13.58/5.32	76[label="List.groupByZs1 (==) True (False : yw311) ([],False : yw311)",fontsize=16,color="black",shape="box"];76 -> 82[label="",style="solid", color="black", weight=3];
13.58/5.32	77[label="span2Zs0 ((==) True) yw311 (span2Vu43 ((==) True) yw311)",fontsize=16,color="black",shape="box"];77 -> 83[label="",style="solid", color="black", weight=3];
13.58/5.32	78[label="span2Ys0 ((==) False) yw311 (span ((==) False) yw311)",fontsize=16,color="burlywood",shape="box"];190[label="yw311/yw3110 : yw3111",fontsize=10,color="white",style="solid",shape="box"];78 -> 190[label="",style="solid", color="burlywood", weight=9];
13.58/5.32	190 -> 84[label="",style="solid", color="burlywood", weight=3];
13.58/5.32	191[label="yw311/[]",fontsize=10,color="white",style="solid",shape="box"];78 -> 191[label="",style="solid", color="burlywood", weight=9];
13.58/5.32	191 -> 85[label="",style="solid", color="burlywood", weight=3];
13.58/5.32	79[label="span2Ys0 ((==) True) yw311 (span ((==) True) yw311)",fontsize=16,color="burlywood",shape="box"];192[label="yw311/yw3110 : yw3111",fontsize=10,color="white",style="solid",shape="box"];79 -> 192[label="",style="solid", color="burlywood", weight=9];
13.58/5.32	192 -> 86[label="",style="solid", color="burlywood", weight=3];
13.58/5.32	193[label="yw311/[]",fontsize=10,color="white",style="solid",shape="box"];79 -> 193[label="",style="solid", color="burlywood", weight=9];
13.58/5.32	193 -> 87[label="",style="solid", color="burlywood", weight=3];
13.58/5.32	80[label="span2Zs0 ((==) False) yw311 (span ((==) False) yw311)",fontsize=16,color="burlywood",shape="box"];194[label="yw311/yw3110 : yw3111",fontsize=10,color="white",style="solid",shape="box"];80 -> 194[label="",style="solid", color="burlywood", weight=9];
13.58/5.32	194 -> 88[label="",style="solid", color="burlywood", weight=3];
13.58/5.32	195[label="yw311/[]",fontsize=10,color="white",style="solid",shape="box"];80 -> 195[label="",style="solid", color="burlywood", weight=9];
13.58/5.32	195 -> 89[label="",style="solid", color="burlywood", weight=3];
13.58/5.32	81[label="True : yw311",fontsize=16,color="green",shape="box"];82[label="False : yw311",fontsize=16,color="green",shape="box"];83[label="span2Zs0 ((==) True) yw311 (span ((==) True) yw311)",fontsize=16,color="burlywood",shape="box"];196[label="yw311/yw3110 : yw3111",fontsize=10,color="white",style="solid",shape="box"];83 -> 196[label="",style="solid", color="burlywood", weight=9];
13.58/5.32	196 -> 90[label="",style="solid", color="burlywood", weight=3];
13.58/5.32	197[label="yw311/[]",fontsize=10,color="white",style="solid",shape="box"];83 -> 197[label="",style="solid", color="burlywood", weight=9];
13.58/5.32	197 -> 91[label="",style="solid", color="burlywood", weight=3];
13.58/5.32	84[label="span2Ys0 ((==) False) (yw3110 : yw3111) (span ((==) False) (yw3110 : yw3111))",fontsize=16,color="black",shape="box"];84 -> 92[label="",style="solid", color="black", weight=3];
13.58/5.32	85[label="span2Ys0 ((==) False) [] (span ((==) False) [])",fontsize=16,color="black",shape="box"];85 -> 93[label="",style="solid", color="black", weight=3];
13.58/5.32	86[label="span2Ys0 ((==) True) (yw3110 : yw3111) (span ((==) True) (yw3110 : yw3111))",fontsize=16,color="black",shape="box"];86 -> 94[label="",style="solid", color="black", weight=3];
13.58/5.32	87[label="span2Ys0 ((==) True) [] (span ((==) True) [])",fontsize=16,color="black",shape="box"];87 -> 95[label="",style="solid", color="black", weight=3];
13.58/5.32	88[label="span2Zs0 ((==) False) (yw3110 : yw3111) (span ((==) False) (yw3110 : yw3111))",fontsize=16,color="black",shape="box"];88 -> 96[label="",style="solid", color="black", weight=3];
13.58/5.32	89[label="span2Zs0 ((==) False) [] (span ((==) False) [])",fontsize=16,color="black",shape="box"];89 -> 97[label="",style="solid", color="black", weight=3];
13.58/5.32	90[label="span2Zs0 ((==) True) (yw3110 : yw3111) (span ((==) True) (yw3110 : yw3111))",fontsize=16,color="black",shape="box"];90 -> 98[label="",style="solid", color="black", weight=3];
13.58/5.32	91[label="span2Zs0 ((==) True) [] (span ((==) True) [])",fontsize=16,color="black",shape="box"];91 -> 99[label="",style="solid", color="black", weight=3];
13.58/5.32	92[label="span2Ys0 ((==) False) (yw3110 : yw3111) (span2 ((==) False) (yw3110 : yw3111))",fontsize=16,color="black",shape="box"];92 -> 100[label="",style="solid", color="black", weight=3];
13.58/5.32	93[label="span2Ys0 ((==) False) [] (span3 ((==) False) [])",fontsize=16,color="black",shape="box"];93 -> 101[label="",style="solid", color="black", weight=3];
13.58/5.32	94[label="span2Ys0 ((==) True) (yw3110 : yw3111) (span2 ((==) True) (yw3110 : yw3111))",fontsize=16,color="black",shape="box"];94 -> 102[label="",style="solid", color="black", weight=3];
13.58/5.32	95[label="span2Ys0 ((==) True) [] (span3 ((==) True) [])",fontsize=16,color="black",shape="box"];95 -> 103[label="",style="solid", color="black", weight=3];
13.58/5.32	96[label="span2Zs0 ((==) False) (yw3110 : yw3111) (span2 ((==) False) (yw3110 : yw3111))",fontsize=16,color="black",shape="box"];96 -> 104[label="",style="solid", color="black", weight=3];
13.58/5.32	97[label="span2Zs0 ((==) False) [] (span3 ((==) False) [])",fontsize=16,color="black",shape="box"];97 -> 105[label="",style="solid", color="black", weight=3];
13.58/5.32	98[label="span2Zs0 ((==) True) (yw3110 : yw3111) (span2 ((==) True) (yw3110 : yw3111))",fontsize=16,color="black",shape="box"];98 -> 106[label="",style="solid", color="black", weight=3];
13.58/5.32	99[label="span2Zs0 ((==) True) [] (span3 ((==) True) [])",fontsize=16,color="black",shape="box"];99 -> 107[label="",style="solid", color="black", weight=3];
13.58/5.32	100[label="span2Ys0 ((==) False) (yw3110 : yw3111) (span2Span1 ((==) False) yw3111 ((==) False) yw3110 yw3111 ((==) False yw3110))",fontsize=16,color="burlywood",shape="box"];198[label="yw3110/False",fontsize=10,color="white",style="solid",shape="box"];100 -> 198[label="",style="solid", color="burlywood", weight=9];
13.58/5.32	198 -> 108[label="",style="solid", color="burlywood", weight=3];
13.58/5.32	199[label="yw3110/True",fontsize=10,color="white",style="solid",shape="box"];100 -> 199[label="",style="solid", color="burlywood", weight=9];
13.58/5.32	199 -> 109[label="",style="solid", color="burlywood", weight=3];
13.58/5.32	101[label="span2Ys0 ((==) False) [] ([],[])",fontsize=16,color="black",shape="box"];101 -> 110[label="",style="solid", color="black", weight=3];
13.58/5.32	102[label="span2Ys0 ((==) True) (yw3110 : yw3111) (span2Span1 ((==) True) yw3111 ((==) True) yw3110 yw3111 ((==) True yw3110))",fontsize=16,color="burlywood",shape="box"];200[label="yw3110/False",fontsize=10,color="white",style="solid",shape="box"];102 -> 200[label="",style="solid", color="burlywood", weight=9];
13.58/5.32	200 -> 111[label="",style="solid", color="burlywood", weight=3];
13.58/5.32	201[label="yw3110/True",fontsize=10,color="white",style="solid",shape="box"];102 -> 201[label="",style="solid", color="burlywood", weight=9];
13.58/5.32	201 -> 112[label="",style="solid", color="burlywood", weight=3];
13.58/5.32	103[label="span2Ys0 ((==) True) [] ([],[])",fontsize=16,color="black",shape="box"];103 -> 113[label="",style="solid", color="black", weight=3];
13.58/5.32	104[label="span2Zs0 ((==) False) (yw3110 : yw3111) (span2Span1 ((==) False) yw3111 ((==) False) yw3110 yw3111 ((==) False yw3110))",fontsize=16,color="burlywood",shape="box"];202[label="yw3110/False",fontsize=10,color="white",style="solid",shape="box"];104 -> 202[label="",style="solid", color="burlywood", weight=9];
13.58/5.32	202 -> 114[label="",style="solid", color="burlywood", weight=3];
13.58/5.32	203[label="yw3110/True",fontsize=10,color="white",style="solid",shape="box"];104 -> 203[label="",style="solid", color="burlywood", weight=9];
13.58/5.32	203 -> 115[label="",style="solid", color="burlywood", weight=3];
13.58/5.32	105[label="span2Zs0 ((==) False) [] ([],[])",fontsize=16,color="black",shape="box"];105 -> 116[label="",style="solid", color="black", weight=3];
13.58/5.32	106[label="span2Zs0 ((==) True) (yw3110 : yw3111) (span2Span1 ((==) True) yw3111 ((==) True) yw3110 yw3111 ((==) True yw3110))",fontsize=16,color="burlywood",shape="box"];204[label="yw3110/False",fontsize=10,color="white",style="solid",shape="box"];106 -> 204[label="",style="solid", color="burlywood", weight=9];
13.58/5.32	204 -> 117[label="",style="solid", color="burlywood", weight=3];
13.58/5.32	205[label="yw3110/True",fontsize=10,color="white",style="solid",shape="box"];106 -> 205[label="",style="solid", color="burlywood", weight=9];
13.58/5.32	205 -> 118[label="",style="solid", color="burlywood", weight=3];
13.58/5.32	107[label="span2Zs0 ((==) True) [] ([],[])",fontsize=16,color="black",shape="box"];107 -> 119[label="",style="solid", color="black", weight=3];
13.58/5.32	108[label="span2Ys0 ((==) False) (False : yw3111) (span2Span1 ((==) False) yw3111 ((==) False) False yw3111 ((==) False False))",fontsize=16,color="black",shape="box"];108 -> 120[label="",style="solid", color="black", weight=3];
13.58/5.32	109[label="span2Ys0 ((==) False) (True : yw3111) (span2Span1 ((==) False) yw3111 ((==) False) True yw3111 ((==) False True))",fontsize=16,color="black",shape="box"];109 -> 121[label="",style="solid", color="black", weight=3];
13.58/5.32	110[label="[]",fontsize=16,color="green",shape="box"];111[label="span2Ys0 ((==) True) (False : yw3111) (span2Span1 ((==) True) yw3111 ((==) True) False yw3111 ((==) True False))",fontsize=16,color="black",shape="box"];111 -> 122[label="",style="solid", color="black", weight=3];
13.58/5.32	112[label="span2Ys0 ((==) True) (True : yw3111) (span2Span1 ((==) True) yw3111 ((==) True) True yw3111 ((==) True True))",fontsize=16,color="black",shape="box"];112 -> 123[label="",style="solid", color="black", weight=3];
13.58/5.32	113[label="[]",fontsize=16,color="green",shape="box"];114[label="span2Zs0 ((==) False) (False : yw3111) (span2Span1 ((==) False) yw3111 ((==) False) False yw3111 ((==) False False))",fontsize=16,color="black",shape="box"];114 -> 124[label="",style="solid", color="black", weight=3];
13.58/5.32	115[label="span2Zs0 ((==) False) (True : yw3111) (span2Span1 ((==) False) yw3111 ((==) False) True yw3111 ((==) False True))",fontsize=16,color="black",shape="box"];115 -> 125[label="",style="solid", color="black", weight=3];
13.58/5.32	116[label="[]",fontsize=16,color="green",shape="box"];117[label="span2Zs0 ((==) True) (False : yw3111) (span2Span1 ((==) True) yw3111 ((==) True) False yw3111 ((==) True False))",fontsize=16,color="black",shape="box"];117 -> 126[label="",style="solid", color="black", weight=3];
13.58/5.32	118[label="span2Zs0 ((==) True) (True : yw3111) (span2Span1 ((==) True) yw3111 ((==) True) True yw3111 ((==) True True))",fontsize=16,color="black",shape="box"];118 -> 127[label="",style="solid", color="black", weight=3];
13.58/5.32	119[label="[]",fontsize=16,color="green",shape="box"];120[label="span2Ys0 ((==) False) (False : yw3111) (span2Span1 ((==) False) yw3111 ((==) False) False yw3111 True)",fontsize=16,color="black",shape="box"];120 -> 128[label="",style="solid", color="black", weight=3];
13.58/5.32	121[label="span2Ys0 ((==) False) (True : yw3111) (span2Span1 ((==) False) yw3111 ((==) False) True yw3111 False)",fontsize=16,color="black",shape="box"];121 -> 129[label="",style="solid", color="black", weight=3];
13.58/5.32	122[label="span2Ys0 ((==) True) (False : yw3111) (span2Span1 ((==) True) yw3111 ((==) True) False yw3111 False)",fontsize=16,color="black",shape="box"];122 -> 130[label="",style="solid", color="black", weight=3];
13.58/5.32	123[label="span2Ys0 ((==) True) (True : yw3111) (span2Span1 ((==) True) yw3111 ((==) True) True yw3111 True)",fontsize=16,color="black",shape="box"];123 -> 131[label="",style="solid", color="black", weight=3];
13.58/5.32	124[label="span2Zs0 ((==) False) (False : yw3111) (span2Span1 ((==) False) yw3111 ((==) False) False yw3111 True)",fontsize=16,color="black",shape="box"];124 -> 132[label="",style="solid", color="black", weight=3];
13.58/5.32	125[label="span2Zs0 ((==) False) (True : yw3111) (span2Span1 ((==) False) yw3111 ((==) False) True yw3111 False)",fontsize=16,color="black",shape="box"];125 -> 133[label="",style="solid", color="black", weight=3];
13.58/5.32	126[label="span2Zs0 ((==) True) (False : yw3111) (span2Span1 ((==) True) yw3111 ((==) True) False yw3111 False)",fontsize=16,color="black",shape="box"];126 -> 134[label="",style="solid", color="black", weight=3];
13.58/5.32	127[label="span2Zs0 ((==) True) (True : yw3111) (span2Span1 ((==) True) yw3111 ((==) True) True yw3111 True)",fontsize=16,color="black",shape="box"];127 -> 135[label="",style="solid", color="black", weight=3];
13.58/5.32	128 -> 136[label="",style="dashed", color="red", weight=0];
13.58/5.32	128[label="span2Ys0 ((==) False) (False : yw3111) (False : span2Ys ((==) False) yw3111,span2Zs ((==) False) yw3111)",fontsize=16,color="magenta"];128 -> 137[label="",style="dashed", color="magenta", weight=3];
13.58/5.32	128 -> 138[label="",style="dashed", color="magenta", weight=3];
13.58/5.32	129[label="span2Ys0 ((==) False) (True : yw3111) (span2Span0 ((==) False) yw3111 ((==) False) True yw3111 otherwise)",fontsize=16,color="black",shape="box"];129 -> 139[label="",style="solid", color="black", weight=3];
13.58/5.32	130[label="span2Ys0 ((==) True) (False : yw3111) (span2Span0 ((==) True) yw3111 ((==) True) False yw3111 otherwise)",fontsize=16,color="black",shape="box"];130 -> 140[label="",style="solid", color="black", weight=3];
13.58/5.32	131 -> 141[label="",style="dashed", color="red", weight=0];
13.58/5.32	131[label="span2Ys0 ((==) True) (True : yw3111) (True : span2Ys ((==) True) yw3111,span2Zs ((==) True) yw3111)",fontsize=16,color="magenta"];131 -> 142[label="",style="dashed", color="magenta", weight=3];
13.58/5.32	131 -> 143[label="",style="dashed", color="magenta", weight=3];
13.58/5.32	132 -> 144[label="",style="dashed", color="red", weight=0];
13.58/5.32	132[label="span2Zs0 ((==) False) (False : yw3111) (False : span2Ys ((==) False) yw3111,span2Zs ((==) False) yw3111)",fontsize=16,color="magenta"];132 -> 145[label="",style="dashed", color="magenta", weight=3];
13.58/5.32	132 -> 146[label="",style="dashed", color="magenta", weight=3];
13.58/5.32	133[label="span2Zs0 ((==) False) (True : yw3111) (span2Span0 ((==) False) yw3111 ((==) False) True yw3111 otherwise)",fontsize=16,color="black",shape="box"];133 -> 147[label="",style="solid", color="black", weight=3];
13.58/5.32	134[label="span2Zs0 ((==) True) (False : yw3111) (span2Span0 ((==) True) yw3111 ((==) True) False yw3111 otherwise)",fontsize=16,color="black",shape="box"];134 -> 148[label="",style="solid", color="black", weight=3];
13.58/5.32	135 -> 149[label="",style="dashed", color="red", weight=0];
13.58/5.32	135[label="span2Zs0 ((==) True) (True : yw3111) (True : span2Ys ((==) True) yw3111,span2Zs ((==) True) yw3111)",fontsize=16,color="magenta"];135 -> 150[label="",style="dashed", color="magenta", weight=3];
13.58/5.32	135 -> 151[label="",style="dashed", color="magenta", weight=3];
13.58/5.32	137 -> 66[label="",style="dashed", color="red", weight=0];
13.58/5.32	137[label="span2Zs ((==) False) yw3111",fontsize=16,color="magenta"];137 -> 152[label="",style="dashed", color="magenta", weight=3];
13.58/5.32	138 -> 62[label="",style="dashed", color="red", weight=0];
13.58/5.32	138[label="span2Ys ((==) False) yw3111",fontsize=16,color="magenta"];138 -> 153[label="",style="dashed", color="magenta", weight=3];
13.58/5.32	136[label="span2Ys0 ((==) False) (False : yw3111) (False : yw5,yw4)",fontsize=16,color="black",shape="triangle"];136 -> 154[label="",style="solid", color="black", weight=3];
13.58/5.32	139[label="span2Ys0 ((==) False) (True : yw3111) (span2Span0 ((==) False) yw3111 ((==) False) True yw3111 True)",fontsize=16,color="black",shape="box"];139 -> 155[label="",style="solid", color="black", weight=3];
13.58/5.32	140[label="span2Ys0 ((==) True) (False : yw3111) (span2Span0 ((==) True) yw3111 ((==) True) False yw3111 True)",fontsize=16,color="black",shape="box"];140 -> 156[label="",style="solid", color="black", weight=3];
13.58/5.32	142 -> 65[label="",style="dashed", color="red", weight=0];
13.58/5.32	142[label="span2Ys ((==) True) yw3111",fontsize=16,color="magenta"];142 -> 157[label="",style="dashed", color="magenta", weight=3];
13.58/5.32	143 -> 69[label="",style="dashed", color="red", weight=0];
13.58/5.32	143[label="span2Zs ((==) True) yw3111",fontsize=16,color="magenta"];143 -> 158[label="",style="dashed", color="magenta", weight=3];
13.58/5.32	141[label="span2Ys0 ((==) True) (True : yw3111) (True : yw7,yw6)",fontsize=16,color="black",shape="triangle"];141 -> 159[label="",style="solid", color="black", weight=3];
13.58/5.32	145 -> 66[label="",style="dashed", color="red", weight=0];
13.58/5.32	145[label="span2Zs ((==) False) yw3111",fontsize=16,color="magenta"];145 -> 160[label="",style="dashed", color="magenta", weight=3];
13.58/5.32	146 -> 62[label="",style="dashed", color="red", weight=0];
13.58/5.32	146[label="span2Ys ((==) False) yw3111",fontsize=16,color="magenta"];146 -> 161[label="",style="dashed", color="magenta", weight=3];
13.58/5.32	144[label="span2Zs0 ((==) False) (False : yw3111) (False : yw9,yw8)",fontsize=16,color="black",shape="triangle"];144 -> 162[label="",style="solid", color="black", weight=3];
13.58/5.32	147[label="span2Zs0 ((==) False) (True : yw3111) (span2Span0 ((==) False) yw3111 ((==) False) True yw3111 True)",fontsize=16,color="black",shape="box"];147 -> 163[label="",style="solid", color="black", weight=3];
13.58/5.32	148[label="span2Zs0 ((==) True) (False : yw3111) (span2Span0 ((==) True) yw3111 ((==) True) False yw3111 True)",fontsize=16,color="black",shape="box"];148 -> 164[label="",style="solid", color="black", weight=3];
13.58/5.32	150 -> 69[label="",style="dashed", color="red", weight=0];
13.58/5.32	150[label="span2Zs ((==) True) yw3111",fontsize=16,color="magenta"];150 -> 165[label="",style="dashed", color="magenta", weight=3];
13.58/5.32	151 -> 65[label="",style="dashed", color="red", weight=0];
13.58/5.32	151[label="span2Ys ((==) True) yw3111",fontsize=16,color="magenta"];151 -> 166[label="",style="dashed", color="magenta", weight=3];
13.58/5.32	149[label="span2Zs0 ((==) True) (True : yw3111) (True : yw11,yw10)",fontsize=16,color="black",shape="triangle"];149 -> 167[label="",style="solid", color="black", weight=3];
13.58/5.32	152[label="yw3111",fontsize=16,color="green",shape="box"];153[label="yw3111",fontsize=16,color="green",shape="box"];154[label="False : yw5",fontsize=16,color="green",shape="box"];155[label="span2Ys0 ((==) False) (True : yw3111) ([],True : yw3111)",fontsize=16,color="black",shape="box"];155 -> 168[label="",style="solid", color="black", weight=3];
13.58/5.32	156[label="span2Ys0 ((==) True) (False : yw3111) ([],False : yw3111)",fontsize=16,color="black",shape="box"];156 -> 169[label="",style="solid", color="black", weight=3];
13.58/5.32	157[label="yw3111",fontsize=16,color="green",shape="box"];158[label="yw3111",fontsize=16,color="green",shape="box"];159[label="True : yw7",fontsize=16,color="green",shape="box"];160[label="yw3111",fontsize=16,color="green",shape="box"];161[label="yw3111",fontsize=16,color="green",shape="box"];162[label="yw8",fontsize=16,color="green",shape="box"];163[label="span2Zs0 ((==) False) (True : yw3111) ([],True : yw3111)",fontsize=16,color="black",shape="box"];163 -> 170[label="",style="solid", color="black", weight=3];
13.58/5.32	164[label="span2Zs0 ((==) True) (False : yw3111) ([],False : yw3111)",fontsize=16,color="black",shape="box"];164 -> 171[label="",style="solid", color="black", weight=3];
13.58/5.32	165[label="yw3111",fontsize=16,color="green",shape="box"];166[label="yw3111",fontsize=16,color="green",shape="box"];167[label="yw10",fontsize=16,color="green",shape="box"];168[label="[]",fontsize=16,color="green",shape="box"];169[label="[]",fontsize=16,color="green",shape="box"];170[label="True : yw3111",fontsize=16,color="green",shape="box"];171[label="False : yw3111",fontsize=16,color="green",shape="box"];}
13.58/5.32	
13.58/5.32	----------------------------------------
13.58/5.32	
13.58/5.32	(10)
13.58/5.32	Complex Obligation (AND)
13.58/5.32	
13.58/5.32	----------------------------------------
13.58/5.32	
13.58/5.32	(11)
13.58/5.32	Obligation:
13.58/5.32	Q DP problem:
13.58/5.32	The TRS P consists of the following rules:
13.58/5.32	
13.58/5.32	   new_span2Zs(:(True, yw3111)) -> new_span2Ys(yw3111)
13.58/5.32	   new_span2Ys(:(True, yw3111)) -> new_span2Ys(yw3111)
13.58/5.32	   new_span2Ys(:(True, yw3111)) -> new_span2Zs(yw3111)
13.58/5.32	   new_span2Zs(:(True, yw3111)) -> new_span2Zs(yw3111)
13.58/5.32	
13.58/5.32	R is empty.
13.58/5.32	Q is empty.
13.58/5.32	We have to consider all minimal (P,Q,R)-chains.
13.58/5.32	----------------------------------------
13.58/5.32	
13.58/5.32	(12) QDPSizeChangeProof (EQUIVALENT)
13.58/5.32	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. 
13.58/5.32	
13.58/5.32	From the DPs we obtained the following set of size-change graphs:
13.58/5.32	*new_span2Ys(:(True, yw3111)) -> new_span2Zs(yw3111)
13.58/5.32	The graph contains the following edges 1 > 1
13.58/5.32	
13.58/5.32	
13.58/5.32	*new_span2Ys(:(True, yw3111)) -> new_span2Ys(yw3111)
13.58/5.32	The graph contains the following edges 1 > 1
13.58/5.32	
13.58/5.32	
13.58/5.32	*new_span2Zs(:(True, yw3111)) -> new_span2Zs(yw3111)
13.58/5.32	The graph contains the following edges 1 > 1
13.58/5.32	
13.58/5.32	
13.58/5.32	*new_span2Zs(:(True, yw3111)) -> new_span2Ys(yw3111)
13.58/5.32	The graph contains the following edges 1 > 1
13.58/5.32	
13.58/5.32	
13.58/5.32	----------------------------------------
13.58/5.32	
13.58/5.32	(13)
13.58/5.32	YES
13.58/5.32	
13.58/5.32	----------------------------------------
13.58/5.32	
13.58/5.32	(14)
13.58/5.32	Obligation:
13.58/5.32	Q DP problem:
13.58/5.32	The TRS P consists of the following rules:
13.58/5.32	
13.58/5.32	   new_span2Ys0(:(False, yw3111)) -> new_span2Zs0(yw3111)
13.58/5.32	   new_span2Zs0(:(False, yw3111)) -> new_span2Zs0(yw3111)
13.58/5.32	   new_span2Zs0(:(False, yw3111)) -> new_span2Ys0(yw3111)
13.58/5.32	   new_span2Ys0(:(False, yw3111)) -> new_span2Ys0(yw3111)
13.58/5.32	
13.58/5.32	R is empty.
13.58/5.32	Q is empty.
13.58/5.32	We have to consider all minimal (P,Q,R)-chains.
13.58/5.33	----------------------------------------
13.58/5.33	
13.58/5.33	(15) QDPSizeChangeProof (EQUIVALENT)
13.58/5.33	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. 
13.58/5.33	
13.58/5.33	From the DPs we obtained the following set of size-change graphs:
13.58/5.33	*new_span2Zs0(:(False, yw3111)) -> new_span2Ys0(yw3111)
13.58/5.33	The graph contains the following edges 1 > 1
13.58/5.33	
13.58/5.33	
13.58/5.33	*new_span2Zs0(:(False, yw3111)) -> new_span2Zs0(yw3111)
13.58/5.33	The graph contains the following edges 1 > 1
13.58/5.33	
13.58/5.33	
13.58/5.33	*new_span2Ys0(:(False, yw3111)) -> new_span2Ys0(yw3111)
13.58/5.33	The graph contains the following edges 1 > 1
13.58/5.33	
13.58/5.33	
13.58/5.33	*new_span2Ys0(:(False, yw3111)) -> new_span2Zs0(yw3111)
13.58/5.33	The graph contains the following edges 1 > 1
13.58/5.33	
13.58/5.33	
13.58/5.33	----------------------------------------
13.58/5.33	
13.58/5.33	(16)
13.58/5.33	YES
13.58/5.33	
13.58/5.33	----------------------------------------
13.58/5.33	
13.58/5.33	(17)
13.58/5.33	Obligation:
13.58/5.33	Q DP problem:
13.58/5.33	The TRS P consists of the following rules:
13.58/5.33	
13.58/5.33	   new_groupBy(:(yw30, yw31)) -> new_groupBy(new_groupByZs1(yw30, yw31))
13.58/5.33	
13.58/5.33	The TRS R consists of the following rules:
13.58/5.33	
13.58/5.33	   new_span2Ys00(yw3111, yw5, yw4) -> :(False, yw5)
13.58/5.33	   new_groupByZs1(False, :(False, yw311)) -> new_span2Zs1(yw311)
13.58/5.33	   new_span2Ys1(:(False, yw3111)) -> new_span2Ys00(yw3111, new_span2Ys1(yw3111), new_span2Zs1(yw3111))
13.58/5.33	   new_span2Ys2(:(False, yw3111)) -> []
13.58/5.33	   new_groupByZs1(False, :(True, yw311)) -> :(True, yw311)
13.58/5.33	   new_span2Zs2(:(False, yw3111)) -> :(False, yw3111)
13.58/5.33	   new_span2Zs1(:(True, yw3111)) -> :(True, yw3111)
13.58/5.33	   new_groupByZs1(True, :(False, yw311)) -> :(False, yw311)
13.58/5.33	   new_span2Zs1(:(False, yw3111)) -> new_span2Zs01(yw3111, new_span2Ys1(yw3111), new_span2Zs1(yw3111))
13.58/5.33	   new_span2Ys2(:(True, yw3111)) -> new_span2Ys01(yw3111, new_span2Ys2(yw3111), new_span2Zs2(yw3111))
13.58/5.33	   new_span2Ys2([]) -> []
13.58/5.33	   new_span2Zs01(yw3111, yw9, yw8) -> yw8
13.58/5.33	   new_span2Zs1([]) -> []
13.58/5.33	   new_span2Ys1(:(True, yw3111)) -> []
13.58/5.33	   new_span2Zs2([]) -> []
13.58/5.33	   new_groupByZs1(yw30, []) -> []
13.58/5.33	   new_span2Zs2(:(True, yw3111)) -> new_span2Zs00(yw3111, new_span2Ys2(yw3111), new_span2Zs2(yw3111))
13.58/5.33	   new_span2Ys1([]) -> []
13.58/5.33	   new_span2Zs00(yw3111, yw11, yw10) -> yw10
13.58/5.33	   new_span2Ys01(yw3111, yw7, yw6) -> :(True, yw7)
13.58/5.33	   new_groupByZs1(True, :(True, yw311)) -> new_span2Zs2(yw311)
13.58/5.33	
13.58/5.33	The set Q consists of the following terms:
13.58/5.33	
13.58/5.33	   new_groupByZs1(False, :(True, x0))
13.58/5.33	   new_span2Zs1(:(False, x0))
13.58/5.33	   new_groupByZs1(x0, [])
13.58/5.33	   new_groupByZs1(True, :(False, x0))
13.58/5.33	   new_span2Zs1([])
13.58/5.33	   new_span2Ys1(:(True, x0))
13.58/5.33	   new_groupByZs1(True, :(True, x0))
13.58/5.33	   new_span2Ys1(:(False, x0))
13.58/5.33	   new_span2Zs01(x0, x1, x2)
13.58/5.33	   new_groupByZs1(False, :(False, x0))
13.58/5.33	   new_span2Zs2(:(False, x0))
13.58/5.33	   new_span2Ys2(:(False, x0))
13.58/5.33	   new_span2Zs2(:(True, x0))
13.58/5.33	   new_span2Zs00(x0, x1, x2)
13.58/5.33	   new_span2Ys1([])
13.58/5.33	   new_span2Ys2(:(True, x0))
13.58/5.33	   new_span2Ys00(x0, x1, x2)
13.58/5.33	   new_span2Zs1(:(True, x0))
13.58/5.33	   new_span2Ys2([])
13.58/5.33	   new_span2Ys01(x0, x1, x2)
13.58/5.33	   new_span2Zs2([])
13.58/5.33	
13.58/5.33	We have to consider all minimal (P,Q,R)-chains.
13.58/5.33	----------------------------------------
13.58/5.33	
13.58/5.33	(18) QDPSizeChangeProof (EQUIVALENT)
13.58/5.33	We used the following order together with the size-change analysis [AAECC05] to show that there are no infinite chains for this DP problem. 
13.58/5.33	
13.58/5.33	Order:Polynomial interpretation [POLO]:
13.58/5.33	
13.58/5.33	   POL(:(x_1, x_2)) = 1 + x_2
13.58/5.33	   POL(False) = 0
13.58/5.33	   POL(True) = 0
13.58/5.33	   POL([]) = 1
13.58/5.33	   POL(new_groupByZs1(x_1, x_2)) = x_2
13.58/5.33	   POL(new_span2Ys00(x_1, x_2, x_3)) = 1 + x_2
13.58/5.33	   POL(new_span2Ys01(x_1, x_2, x_3)) = 1 + x_2
13.58/5.33	   POL(new_span2Ys1(x_1)) = 1 + x_1
13.58/5.33	   POL(new_span2Ys2(x_1)) = 1 + x_1
13.58/5.33	   POL(new_span2Zs00(x_1, x_2, x_3)) = 1 + x_3
13.58/5.33	   POL(new_span2Zs01(x_1, x_2, x_3)) = 1 + x_3
13.58/5.33	   POL(new_span2Zs1(x_1)) = 1 + x_1
13.58/5.33	   POL(new_span2Zs2(x_1)) = x_1
13.58/5.33	
13.58/5.33	
13.58/5.33	
13.58/5.33	
13.58/5.33	From the DPs we obtained the following set of size-change graphs:
13.58/5.33	*new_groupBy(:(yw30, yw31)) -> new_groupBy(new_groupByZs1(yw30, yw31)) (allowed arguments on rhs = {1})
13.58/5.33	The graph contains the following edges 1 > 1
13.58/5.33	
13.58/5.33	
13.58/5.33	
13.58/5.33	We oriented the following set of usable rules [AAECC05,FROCOS05].
13.58/5.33	
13.58/5.33	   new_span2Zs2([]) -> []
13.58/5.33	   new_span2Zs2(:(True, yw3111)) -> new_span2Zs00(yw3111, new_span2Ys2(yw3111), new_span2Zs2(yw3111))
13.58/5.33	   new_span2Zs2(:(False, yw3111)) -> :(False, yw3111)
13.58/5.33	   new_span2Zs1([]) -> []
13.58/5.33	   new_span2Zs1(:(True, yw3111)) -> :(True, yw3111)
13.58/5.33	   new_span2Zs1(:(False, yw3111)) -> new_span2Zs01(yw3111, new_span2Ys1(yw3111), new_span2Zs1(yw3111))
13.58/5.33	   new_span2Zs01(yw3111, yw9, yw8) -> yw8
13.58/5.33	   new_span2Zs00(yw3111, yw11, yw10) -> yw10
13.58/5.33	   new_span2Ys2([]) -> []
13.58/5.33	   new_span2Ys2(:(True, yw3111)) -> new_span2Ys01(yw3111, new_span2Ys2(yw3111), new_span2Zs2(yw3111))
13.58/5.33	   new_span2Ys2(:(False, yw3111)) -> []
13.58/5.33	   new_span2Ys1([]) -> []
13.58/5.33	   new_span2Ys1(:(True, yw3111)) -> []
13.58/5.33	   new_span2Ys1(:(False, yw3111)) -> new_span2Ys00(yw3111, new_span2Ys1(yw3111), new_span2Zs1(yw3111))
13.58/5.33	   new_span2Ys01(yw3111, yw7, yw6) -> :(True, yw7)
13.58/5.33	   new_span2Ys00(yw3111, yw5, yw4) -> :(False, yw5)
13.58/5.33	   new_groupByZs1(yw30, []) -> []
13.58/5.33	   new_groupByZs1(True, :(True, yw311)) -> new_span2Zs2(yw311)
13.58/5.33	   new_groupByZs1(True, :(False, yw311)) -> :(False, yw311)
13.58/5.33	   new_groupByZs1(False, :(True, yw311)) -> :(True, yw311)
13.58/5.33	   new_groupByZs1(False, :(False, yw311)) -> new_span2Zs1(yw311)
13.58/5.33	
13.58/5.33	----------------------------------------
13.58/5.33	
13.58/5.33	(19)
13.58/5.33	YES
13.76/5.36	EOF