/export/starexec/sandbox/solver/bin/starexec_run_standard /export/starexec/sandbox/benchmark/theBenchmark.hs /export/starexec/sandbox/output/output_files -------------------------------------------------------------------------------- YES proof of /export/starexec/sandbox/benchmark/theBenchmark.hs # AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty H-Termination with start terms of the given HASKELL could be proven: (0) HASKELL (1) LR [EQUIVALENT, 0 ms] (2) HASKELL (3) BR [EQUIVALENT, 0 ms] (4) HASKELL (5) COR [EQUIVALENT, 10 ms] (6) HASKELL (7) LetRed [EQUIVALENT, 0 ms] (8) HASKELL (9) Narrow [SOUND, 0 ms] (10) AND (11) QDP (12) QDPSizeChangeProof [EQUIVALENT, 0 ms] (13) YES (14) QDP (15) QDPSizeChangeProof [EQUIVALENT, 0 ms] (16) YES (17) QDP (18) QDPSizeChangeProof [EQUIVALENT, 437 ms] (19) YES (20) QDP (21) QDPSizeChangeProof [EQUIVALENT, 0 ms] (22) YES (23) QDP (24) QDPSizeChangeProof [EQUIVALENT, 0 ms] (25) YES (26) QDP (27) QDPSizeChangeProof [EQUIVALENT, 0 ms] (28) YES (29) QDP (30) QDPSizeChangeProof [EQUIVALENT, 0 ms] (31) YES ---------------------------------------- (0) Obligation: mainModule Main module Maybe where { import qualified List; import qualified Main; import qualified Prelude; } module List where { import qualified Main; import qualified Maybe; import qualified Prelude; group :: Eq a => [a] -> [[a]]; group = groupBy (==); groupBy :: (a -> a -> Bool) -> [a] -> [[a]]; groupBy _ [] = []; groupBy eq (x : xs) = (x : ys) : groupBy eq zs where { vv10 = span (eq x) xs; ys = (\(ys,_) ->ys) vv10; zs = (\(_,zs) ->zs) vv10; }; } module Main where { import qualified List; import qualified Maybe; import qualified Prelude; } ---------------------------------------- (1) LR (EQUIVALENT) Lambda Reductions: The following Lambda expression "\(_,zs)->zs" is transformed to "zs0 (_,zs) = zs; " The following Lambda expression "\(ys,_)->ys" is transformed to "ys0 (ys,_) = ys; " The following Lambda expression "\(_,zs)->zs" is transformed to "zs1 (_,zs) = zs; " The following Lambda expression "\(ys,_)->ys" is transformed to "ys1 (ys,_) = ys; " ---------------------------------------- (2) Obligation: mainModule Main module Maybe where { import qualified List; import qualified Main; import qualified Prelude; } module List where { import qualified Main; import qualified Maybe; import qualified Prelude; group :: Eq a => [a] -> [[a]]; group = groupBy (==); groupBy :: (a -> a -> Bool) -> [a] -> [[a]]; groupBy _ [] = []; groupBy eq (x : xs) = (x : ys) : groupBy eq zs where { vv10 = span (eq x) xs; ys = ys1 vv10; ys1 (ys,_) = ys; zs = zs1 vv10; zs1 (_,zs) = zs; }; } module Main where { import qualified List; import qualified Maybe; import qualified Prelude; } ---------------------------------------- (3) BR (EQUIVALENT) Replaced joker patterns by fresh variables and removed binding patterns. Binding Reductions: The bind variable of the following binding Pattern "xs@(vz : wu)" is replaced by the following term "vz : wu" ---------------------------------------- (4) Obligation: mainModule Main module Maybe where { import qualified List; import qualified Main; import qualified Prelude; } module List where { import qualified Main; import qualified Maybe; import qualified Prelude; group :: Eq a => [a] -> [[a]]; group = groupBy (==); groupBy :: (a -> a -> Bool) -> [a] -> [[a]]; groupBy yu [] = []; groupBy eq (x : xs) = (x : ys) : groupBy eq zs where { vv10 = span (eq x) xs; ys = ys1 vv10; ys1 (ys,yv) = ys; zs = zs1 vv10; zs1 (yw,zs) = zs; }; } module Main where { import qualified List; import qualified Maybe; import qualified Prelude; } ---------------------------------------- (5) COR (EQUIVALENT) Cond Reductions: The following Function with conditions "undefined |Falseundefined; " is transformed to "undefined = undefined1; " "undefined0 True = undefined; " "undefined1 = undefined0 False; " The following Function with conditions "span p [] = ([],[]); span p (vz : wu)|p vz(vz : ys,zs)|otherwise([],vz : wu) where { vu43 = span p wu; ; ys = ys0 vu43; ; ys0 (ys,ww) = ys; ; zs = zs0 vu43; ; zs0 (wv,zs) = zs; } ; " is transformed to "span p [] = span3 p []; span p (vz : wu) = span2 p (vz : wu); " "span2 p (vz : wu) = span1 p vz wu (p vz) where { span0 p vz wu True = ([],vz : wu); ; span1 p vz wu True = (vz : ys,zs); span1 p vz wu False = span0 p vz wu otherwise; ; vu43 = span p wu; ; ys = ys0 vu43; ; ys0 (ys,ww) = ys; ; zs = zs0 vu43; ; zs0 (wv,zs) = zs; } ; " "span3 p [] = ([],[]); span3 yz zu = span2 yz zu; " ---------------------------------------- (6) Obligation: mainModule Main module Maybe where { import qualified List; import qualified Main; import qualified Prelude; } module List where { import qualified Main; import qualified Maybe; import qualified Prelude; group :: Eq a => [a] -> [[a]]; group = groupBy (==); groupBy :: (a -> a -> Bool) -> [a] -> [[a]]; groupBy yu [] = []; groupBy eq (x : xs) = (x : ys) : groupBy eq zs where { vv10 = span (eq x) xs; ys = ys1 vv10; ys1 (ys,yv) = ys; zs = zs1 vv10; zs1 (yw,zs) = zs; }; } module Main where { import qualified List; import qualified Maybe; import qualified Prelude; } ---------------------------------------- (7) LetRed (EQUIVALENT) Let/Where Reductions: The bindings of the following Let/Where expression "span1 p vz wu (p vz) where { span0 p vz wu True = ([],vz : wu); ; span1 p vz wu True = (vz : ys,zs); span1 p vz wu False = span0 p vz wu otherwise; ; vu43 = span p wu; ; ys = ys0 vu43; ; ys0 (ys,ww) = ys; ; zs = zs0 vu43; ; zs0 (wv,zs) = zs; } " are unpacked to the following functions on top level "span2Span1 zv zw p vz wu True = (vz : span2Ys zv zw,span2Zs zv zw); span2Span1 zv zw p vz wu False = span2Span0 zv zw p vz wu otherwise; " "span2Zs0 zv zw (wv,zs) = zs; " "span2Ys zv zw = span2Ys0 zv zw (span2Vu43 zv zw); " "span2Zs zv zw = span2Zs0 zv zw (span2Vu43 zv zw); " "span2Vu43 zv zw = span zv zw; " "span2Span0 zv zw p vz wu True = ([],vz : wu); " "span2Ys0 zv zw (ys,ww) = ys; " The bindings of the following Let/Where expression "(x : ys) : groupBy eq zs where { vv10 = span (eq x) xs; ; ys = ys1 vv10; ; ys1 (ys,yv) = ys; ; zs = zs1 vv10; ; zs1 (yw,zs) = zs; } " are unpacked to the following functions on top level "groupByYs1 zx zy zz (ys,yv) = ys; " "groupByYs zx zy zz = groupByYs1 zx zy zz (groupByVv10 zx zy zz); " "groupByZs1 zx zy zz (yw,zs) = zs; " "groupByZs zx zy zz = groupByZs1 zx zy zz (groupByVv10 zx zy zz); " "groupByVv10 zx zy zz = span (zx zy) zz; " ---------------------------------------- (8) Obligation: mainModule Main module Maybe where { import qualified List; import qualified Main; import qualified Prelude; } module List where { import qualified Main; import qualified Maybe; import qualified Prelude; group :: Eq a => [a] -> [[a]]; group = groupBy (==); groupBy :: (a -> a -> Bool) -> [a] -> [[a]]; groupBy yu [] = []; groupBy eq (x : xs) = (x : groupByYs eq x xs) : groupBy eq (groupByZs eq x xs); groupByVv10 zx zy zz = span (zx zy) zz; groupByYs zx zy zz = groupByYs1 zx zy zz (groupByVv10 zx zy zz); groupByYs1 zx zy zz (ys,yv) = ys; groupByZs zx zy zz = groupByZs1 zx zy zz (groupByVv10 zx zy zz); groupByZs1 zx zy zz (yw,zs) = zs; } module Main where { import qualified List; import qualified Maybe; import qualified Prelude; } ---------------------------------------- (9) Narrow (SOUND) Haskell To QDPs digraph dp_graph { node [outthreshold=100, inthreshold=100];1[label="List.group",fontsize=16,color="grey",shape="box"];1 -> 3[label="",style="dashed", color="grey", weight=3]; 3[label="List.group vuu3",fontsize=16,color="black",shape="triangle"];3 -> 4[label="",style="solid", color="black", weight=3]; 4[label="List.groupBy (==) vuu3",fontsize=16,color="burlywood",shape="triangle"];864[label="vuu3/vuu30 : vuu31",fontsize=10,color="white",style="solid",shape="box"];4 -> 864[label="",style="solid", color="burlywood", weight=9]; 864 -> 5[label="",style="solid", color="burlywood", weight=3]; 865[label="vuu3/[]",fontsize=10,color="white",style="solid",shape="box"];4 -> 865[label="",style="solid", color="burlywood", weight=9]; 865 -> 6[label="",style="solid", color="burlywood", weight=3]; 5[label="List.groupBy (==) (vuu30 : vuu31)",fontsize=16,color="black",shape="box"];5 -> 7[label="",style="solid", color="black", weight=3]; 6[label="List.groupBy (==) []",fontsize=16,color="black",shape="box"];6 -> 8[label="",style="solid", color="black", weight=3]; 7[label="(vuu30 : List.groupByYs (==) vuu30 vuu31) : List.groupBy (==) (List.groupByZs (==) vuu30 vuu31)",fontsize=16,color="green",shape="box"];7 -> 9[label="",style="dashed", color="green", weight=3]; 7 -> 10[label="",style="dashed", color="green", weight=3]; 8[label="[]",fontsize=16,color="green",shape="box"];9[label="List.groupByYs (==) vuu30 vuu31",fontsize=16,color="black",shape="box"];9 -> 11[label="",style="solid", color="black", weight=3]; 10 -> 4[label="",style="dashed", color="red", weight=0]; 10[label="List.groupBy (==) (List.groupByZs (==) vuu30 vuu31)",fontsize=16,color="magenta"];10 -> 12[label="",style="dashed", color="magenta", weight=3]; 11[label="List.groupByYs1 (==) vuu30 vuu31 (List.groupByVv10 (==) vuu30 vuu31)",fontsize=16,color="black",shape="box"];11 -> 13[label="",style="solid", color="black", weight=3]; 12[label="List.groupByZs (==) vuu30 vuu31",fontsize=16,color="black",shape="box"];12 -> 14[label="",style="solid", color="black", weight=3]; 13[label="List.groupByYs1 (==) vuu30 vuu31 (span ((==) vuu30) vuu31)",fontsize=16,color="burlywood",shape="box"];866[label="vuu31/vuu310 : vuu311",fontsize=10,color="white",style="solid",shape="box"];13 -> 866[label="",style="solid", color="burlywood", weight=9]; 866 -> 15[label="",style="solid", color="burlywood", weight=3]; 867[label="vuu31/[]",fontsize=10,color="white",style="solid",shape="box"];13 -> 867[label="",style="solid", color="burlywood", weight=9]; 867 -> 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869[label="",style="solid", color="burlywood", weight=9]; 869 -> 21[label="",style="solid", color="burlywood", weight=3]; 18[label="List.groupByYs1 (==) vuu30 (vuu310 : vuu311) (span2 ((==) vuu30) (vuu310 : vuu311))",fontsize=16,color="black",shape="box"];18 -> 22[label="",style="solid", color="black", weight=3]; 19[label="List.groupByYs1 (==) vuu30 [] (span3 ((==) vuu30) [])",fontsize=16,color="black",shape="box"];19 -> 23[label="",style="solid", color="black", weight=3]; 20[label="List.groupByZs1 (==) vuu30 (vuu310 : vuu311) (span ((==) vuu30) (vuu310 : vuu311))",fontsize=16,color="black",shape="box"];20 -> 24[label="",style="solid", color="black", weight=3]; 21[label="List.groupByZs1 (==) vuu30 [] (span ((==) vuu30) [])",fontsize=16,color="black",shape="box"];21 -> 25[label="",style="solid", color="black", weight=3]; 22[label="List.groupByYs1 (==) vuu30 (vuu310 : vuu311) (span2Span1 ((==) vuu30) vuu311 ((==) vuu30) vuu310 vuu311 ((==) vuu30 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(==) Nothing (vuu310 : vuu311) (span2Span1 ((==) Nothing) vuu311 ((==) Nothing) vuu310 vuu311 ((==) Nothing vuu310))",fontsize=16,color="burlywood",shape="box"];872[label="vuu310/Nothing",fontsize=10,color="white",style="solid",shape="box"];26 -> 872[label="",style="solid", color="burlywood", weight=9]; 872 -> 31[label="",style="solid", color="burlywood", weight=3]; 873[label="vuu310/Just vuu3100",fontsize=10,color="white",style="solid",shape="box"];26 -> 873[label="",style="solid", color="burlywood", weight=9]; 873 -> 32[label="",style="solid", color="burlywood", weight=3]; 27[label="List.groupByYs1 (==) (Just vuu300) (vuu310 : vuu311) (span2Span1 ((==) Just vuu300) vuu311 ((==) Just vuu300) vuu310 vuu311 ((==) Just vuu300 vuu310))",fontsize=16,color="burlywood",shape="box"];874[label="vuu310/Nothing",fontsize=10,color="white",style="solid",shape="box"];27 -> 874[label="",style="solid", color="burlywood", weight=9]; 874 -> 33[label="",style="solid", color="burlywood", weight=3]; 875[label="vuu310/Just vuu3100",fontsize=10,color="white",style="solid",shape="box"];27 -> 875[label="",style="solid", color="burlywood", weight=9]; 875 -> 34[label="",style="solid", color="burlywood", weight=3]; 28[label="[]",fontsize=16,color="green",shape="box"];29[label="List.groupByZs1 (==) vuu30 (vuu310 : vuu311) (span2Span1 ((==) vuu30) vuu311 ((==) vuu30) vuu310 vuu311 ((==) vuu30 vuu310))",fontsize=16,color="burlywood",shape="box"];876[label="vuu30/Nothing",fontsize=10,color="white",style="solid",shape="box"];29 -> 876[label="",style="solid", color="burlywood", weight=9]; 876 -> 35[label="",style="solid", color="burlywood", weight=3]; 877[label="vuu30/Just vuu300",fontsize=10,color="white",style="solid",shape="box"];29 -> 877[label="",style="solid", color="burlywood", weight=9]; 877 -> 36[label="",style="solid", color="burlywood", weight=3]; 30[label="List.groupByZs1 (==) vuu30 [] ([],[])",fontsize=16,color="black",shape="box"];30 -> 37[label="",style="solid", color="black", weight=3]; 31[label="List.groupByYs1 (==) Nothing (Nothing : vuu311) (span2Span1 ((==) Nothing) vuu311 ((==) Nothing) Nothing vuu311 ((==) Nothing Nothing))",fontsize=16,color="black",shape="box"];31 -> 38[label="",style="solid", color="black", weight=3]; 32[label="List.groupByYs1 (==) Nothing (Just vuu3100 : vuu311) (span2Span1 ((==) Nothing) vuu311 ((==) Nothing) (Just vuu3100) vuu311 ((==) Nothing Just vuu3100))",fontsize=16,color="black",shape="box"];32 -> 39[label="",style="solid", color="black", weight=3]; 33[label="List.groupByYs1 (==) (Just vuu300) (Nothing : vuu311) (span2Span1 ((==) Just vuu300) vuu311 ((==) Just vuu300) Nothing vuu311 ((==) Just vuu300 Nothing))",fontsize=16,color="black",shape="box"];33 -> 40[label="",style="solid", color="black", weight=3]; 34[label="List.groupByYs1 (==) (Just vuu300) (Just vuu3100 : vuu311) (span2Span1 ((==) Just vuu300) vuu311 ((==) Just vuu300) (Just vuu3100) vuu311 ((==) Just vuu300 Just vuu3100))",fontsize=16,color="black",shape="box"];34 -> 41[label="",style="solid", color="black", weight=3]; 35[label="List.groupByZs1 (==) Nothing (vuu310 : vuu311) (span2Span1 ((==) Nothing) vuu311 ((==) Nothing) vuu310 vuu311 ((==) Nothing vuu310))",fontsize=16,color="burlywood",shape="box"];878[label="vuu310/Nothing",fontsize=10,color="white",style="solid",shape="box"];35 -> 878[label="",style="solid", color="burlywood", weight=9]; 878 -> 42[label="",style="solid", color="burlywood", weight=3]; 879[label="vuu310/Just vuu3100",fontsize=10,color="white",style="solid",shape="box"];35 -> 879[label="",style="solid", color="burlywood", weight=9]; 879 -> 43[label="",style="solid", color="burlywood", weight=3]; 36[label="List.groupByZs1 (==) (Just vuu300) (vuu310 : vuu311) (span2Span1 ((==) Just vuu300) vuu311 ((==) Just vuu300) vuu310 vuu311 ((==) Just vuu300 vuu310))",fontsize=16,color="burlywood",shape="box"];880[label="vuu310/Nothing",fontsize=10,color="white",style="solid",shape="box"];36 -> 880[label="",style="solid", color="burlywood", weight=9]; 880 -> 44[label="",style="solid", color="burlywood", weight=3]; 881[label="vuu310/Just vuu3100",fontsize=10,color="white",style="solid",shape="box"];36 -> 881[label="",style="solid", color="burlywood", weight=9]; 881 -> 45[label="",style="solid", color="burlywood", weight=3]; 37[label="[]",fontsize=16,color="green",shape="box"];38[label="List.groupByYs1 (==) Nothing (Nothing : vuu311) (span2Span1 ((==) Nothing) vuu311 ((==) Nothing) Nothing vuu311 True)",fontsize=16,color="black",shape="box"];38 -> 46[label="",style="solid", color="black", weight=3]; 39[label="List.groupByYs1 (==) Nothing (Just vuu3100 : vuu311) (span2Span1 ((==) Nothing) vuu311 ((==) Nothing) (Just vuu3100) vuu311 False)",fontsize=16,color="black",shape="box"];39 -> 47[label="",style="solid", color="black", weight=3]; 40[label="List.groupByYs1 (==) (Just vuu300) (Nothing : vuu311) (span2Span1 ((==) Just vuu300) vuu311 ((==) Just vuu300) Nothing vuu311 False)",fontsize=16,color="black",shape="box"];40 -> 48[label="",style="solid", color="black", weight=3]; 41 -> 49[label="",style="dashed", color="red", weight=0]; 41[label="List.groupByYs1 (==) (Just vuu300) (Just vuu3100 : vuu311) (span2Span1 ((==) Just vuu300) vuu311 ((==) Just vuu300) (Just vuu3100) vuu311 (vuu300 == vuu3100))",fontsize=16,color="magenta"];41 -> 50[label="",style="dashed", color="magenta", weight=3]; 41 -> 51[label="",style="dashed", color="magenta", weight=3]; 41 -> 52[label="",style="dashed", color="magenta", weight=3]; 41 -> 53[label="",style="dashed", color="magenta", weight=3]; 42[label="List.groupByZs1 (==) Nothing (Nothing : vuu311) (span2Span1 ((==) Nothing) vuu311 ((==) Nothing) Nothing vuu311 ((==) Nothing Nothing))",fontsize=16,color="black",shape="box"];42 -> 54[label="",style="solid", color="black", weight=3]; 43[label="List.groupByZs1 (==) Nothing (Just vuu3100 : vuu311) (span2Span1 ((==) Nothing) vuu311 ((==) Nothing) (Just vuu3100) vuu311 ((==) Nothing Just vuu3100))",fontsize=16,color="black",shape="box"];43 -> 55[label="",style="solid", color="black", weight=3]; 44[label="List.groupByZs1 (==) (Just vuu300) (Nothing : vuu311) (span2Span1 ((==) Just vuu300) vuu311 ((==) Just vuu300) Nothing vuu311 ((==) Just vuu300 Nothing))",fontsize=16,color="black",shape="box"];44 -> 56[label="",style="solid", color="black", weight=3]; 45[label="List.groupByZs1 (==) (Just vuu300) (Just vuu3100 : vuu311) (span2Span1 ((==) Just vuu300) vuu311 ((==) Just vuu300) (Just vuu3100) vuu311 ((==) Just vuu300 Just vuu3100))",fontsize=16,color="black",shape="box"];45 -> 57[label="",style="solid", color="black", weight=3]; 46[label="List.groupByYs1 (==) Nothing (Nothing : vuu311) (Nothing : span2Ys ((==) Nothing) vuu311,span2Zs ((==) Nothing) vuu311)",fontsize=16,color="black",shape="box"];46 -> 58[label="",style="solid", color="black", weight=3]; 47[label="List.groupByYs1 (==) Nothing (Just vuu3100 : vuu311) (span2Span0 ((==) Nothing) vuu311 ((==) Nothing) (Just vuu3100) vuu311 otherwise)",fontsize=16,color="black",shape="box"];47 -> 59[label="",style="solid", color="black", weight=3]; 48[label="List.groupByYs1 (==) (Just vuu300) (Nothing : vuu311) (span2Span0 ((==) Just vuu300) vuu311 ((==) Just vuu300) Nothing vuu311 otherwise)",fontsize=16,color="black",shape="box"];48 -> 60[label="",style="solid", color="black", weight=3]; 50[label="vuu3100",fontsize=16,color="green",shape="box"];51[label="vuu300 == vuu3100",fontsize=16,color="blue",shape="box"];882[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];51 -> 882[label="",style="solid", color="blue", weight=9]; 882 -> 61[label="",style="solid", color="blue", weight=3]; 883[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];51 -> 883[label="",style="solid", color="blue", weight=9]; 883 -> 62[label="",style="solid", color="blue", weight=3]; 884[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];51 -> 884[label="",style="solid", color="blue", weight=9]; 884 -> 63[label="",style="solid", color="blue", weight=3]; 885[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];51 -> 885[label="",style="solid", color="blue", weight=9]; 885 -> 64[label="",style="solid", color="blue", weight=3]; 886[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];51 -> 886[label="",style="solid", color="blue", weight=9]; 886 -> 65[label="",style="solid", color="blue", weight=3]; 887[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];51 -> 887[label="",style="solid", color="blue", weight=9]; 887 -> 66[label="",style="solid", color="blue", weight=3]; 888[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];51 -> 888[label="",style="solid", color="blue", weight=9]; 888 -> 67[label="",style="solid", color="blue", weight=3]; 889[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];51 -> 889[label="",style="solid", color="blue", weight=9]; 889 -> 68[label="",style="solid", color="blue", weight=3]; 890[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];51 -> 890[label="",style="solid", color="blue", weight=9]; 890 -> 69[label="",style="solid", color="blue", weight=3]; 891[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];51 -> 891[label="",style="solid", color="blue", weight=9]; 891 -> 70[label="",style="solid", color="blue", weight=3]; 892[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];51 -> 892[label="",style="solid", color="blue", weight=9]; 892 -> 71[label="",style="solid", color="blue", weight=3]; 893[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];51 -> 893[label="",style="solid", color="blue", weight=9]; 893 -> 72[label="",style="solid", color="blue", weight=3]; 894[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];51 -> 894[label="",style="solid", color="blue", weight=9]; 894 -> 73[label="",style="solid", color="blue", weight=3]; 895[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];51 -> 895[label="",style="solid", color="blue", weight=9]; 895 -> 74[label="",style="solid", color="blue", weight=3]; 52[label="vuu311",fontsize=16,color="green",shape="box"];53[label="vuu300",fontsize=16,color="green",shape="box"];49[label="List.groupByYs1 (==) (Just vuu9) (Just vuu10 : vuu11) (span2Span1 ((==) Just vuu9) vuu11 ((==) Just vuu9) (Just vuu10) vuu11 vuu12)",fontsize=16,color="burlywood",shape="triangle"];896[label="vuu12/False",fontsize=10,color="white",style="solid",shape="box"];49 -> 896[label="",style="solid", color="burlywood", weight=9]; 896 -> 75[label="",style="solid", color="burlywood", weight=3]; 897[label="vuu12/True",fontsize=10,color="white",style="solid",shape="box"];49 -> 897[label="",style="solid", color="burlywood", weight=9]; 897 -> 76[label="",style="solid", color="burlywood", weight=3]; 54[label="List.groupByZs1 (==) Nothing (Nothing : vuu311) (span2Span1 ((==) Nothing) vuu311 ((==) Nothing) Nothing vuu311 True)",fontsize=16,color="black",shape="box"];54 -> 77[label="",style="solid", color="black", weight=3]; 55[label="List.groupByZs1 (==) Nothing (Just vuu3100 : vuu311) (span2Span1 ((==) Nothing) vuu311 ((==) Nothing) (Just vuu3100) vuu311 False)",fontsize=16,color="black",shape="box"];55 -> 78[label="",style="solid", color="black", weight=3]; 56[label="List.groupByZs1 (==) (Just vuu300) (Nothing : vuu311) (span2Span1 ((==) Just vuu300) vuu311 ((==) Just vuu300) Nothing vuu311 False)",fontsize=16,color="black",shape="box"];56 -> 79[label="",style="solid", color="black", weight=3]; 57 -> 80[label="",style="dashed", color="red", weight=0]; 57[label="List.groupByZs1 (==) (Just vuu300) (Just vuu3100 : vuu311) (span2Span1 ((==) Just vuu300) vuu311 ((==) Just vuu300) (Just vuu3100) vuu311 (vuu300 == vuu3100))",fontsize=16,color="magenta"];57 -> 81[label="",style="dashed", color="magenta", weight=3]; 57 -> 82[label="",style="dashed", color="magenta", weight=3]; 57 -> 83[label="",style="dashed", color="magenta", weight=3]; 57 -> 84[label="",style="dashed", color="magenta", weight=3]; 58[label="Nothing : span2Ys ((==) Nothing) vuu311",fontsize=16,color="green",shape="box"];58 -> 85[label="",style="dashed", color="green", weight=3]; 59[label="List.groupByYs1 (==) Nothing (Just vuu3100 : vuu311) (span2Span0 ((==) Nothing) vuu311 ((==) Nothing) (Just vuu3100) vuu311 True)",fontsize=16,color="black",shape="box"];59 -> 86[label="",style="solid", color="black", weight=3]; 60[label="List.groupByYs1 (==) (Just vuu300) (Nothing : vuu311) (span2Span0 ((==) Just vuu300) vuu311 ((==) Just vuu300) Nothing vuu311 True)",fontsize=16,color="black",shape="box"];60 -> 87[label="",style="solid", color="black", weight=3]; 61[label="vuu300 == vuu3100",fontsize=16,color="burlywood",shape="triangle"];898[label="vuu300/()",fontsize=10,color="white",style="solid",shape="box"];61 -> 898[label="",style="solid", color="burlywood", weight=9]; 898 -> 88[label="",style="solid", color="burlywood", weight=3]; 62[label="vuu300 == vuu3100",fontsize=16,color="black",shape="triangle"];62 -> 89[label="",style="solid", color="black", weight=3]; 63[label="vuu300 == vuu3100",fontsize=16,color="burlywood",shape="triangle"];899[label="vuu300/vuu3000 : vuu3001",fontsize=10,color="white",style="solid",shape="box"];63 -> 899[label="",style="solid", color="burlywood", weight=9]; 899 -> 90[label="",style="solid", color="burlywood", weight=3]; 900[label="vuu300/[]",fontsize=10,color="white",style="solid",shape="box"];63 -> 900[label="",style="solid", color="burlywood", weight=9]; 900 -> 91[label="",style="solid", color="burlywood", weight=3]; 64[label="vuu300 == vuu3100",fontsize=16,color="burlywood",shape="triangle"];901[label="vuu300/Integer vuu3000",fontsize=10,color="white",style="solid",shape="box"];64 -> 901[label="",style="solid", color="burlywood", weight=9]; 901 -> 92[label="",style="solid", color="burlywood", weight=3]; 65[label="vuu300 == vuu3100",fontsize=16,color="burlywood",shape="triangle"];902[label="vuu300/(vuu3000,vuu3001,vuu3002)",fontsize=10,color="white",style="solid",shape="box"];65 -> 902[label="",style="solid", color="burlywood", weight=9]; 902 -> 93[label="",style="solid", color="burlywood", weight=3]; 66[label="vuu300 == vuu3100",fontsize=16,color="burlywood",shape="triangle"];903[label="vuu300/LT",fontsize=10,color="white",style="solid",shape="box"];66 -> 903[label="",style="solid", color="burlywood", weight=9]; 903 -> 94[label="",style="solid", color="burlywood", weight=3]; 904[label="vuu300/EQ",fontsize=10,color="white",style="solid",shape="box"];66 -> 904[label="",style="solid", color="burlywood", weight=9]; 904 -> 95[label="",style="solid", color="burlywood", weight=3]; 905[label="vuu300/GT",fontsize=10,color="white",style="solid",shape="box"];66 -> 905[label="",style="solid", color="burlywood", weight=9]; 905 -> 96[label="",style="solid", color="burlywood", weight=3]; 67[label="vuu300 == vuu3100",fontsize=16,color="black",shape="triangle"];67 -> 97[label="",style="solid", color="black", weight=3]; 68[label="vuu300 == vuu3100",fontsize=16,color="burlywood",shape="triangle"];906[label="vuu300/vuu3000 :% vuu3001",fontsize=10,color="white",style="solid",shape="box"];68 -> 906[label="",style="solid", color="burlywood", weight=9]; 906 -> 98[label="",style="solid", color="burlywood", weight=3]; 69[label="vuu300 == vuu3100",fontsize=16,color="black",shape="triangle"];69 -> 99[label="",style="solid", color="black", weight=3]; 70[label="vuu300 == vuu3100",fontsize=16,color="burlywood",shape="triangle"];907[label="vuu300/Left vuu3000",fontsize=10,color="white",style="solid",shape="box"];70 -> 907[label="",style="solid", color="burlywood", weight=9]; 907 -> 100[label="",style="solid", color="burlywood", weight=3]; 908[label="vuu300/Right vuu3000",fontsize=10,color="white",style="solid",shape="box"];70 -> 908[label="",style="solid", color="burlywood", weight=9]; 908 -> 101[label="",style="solid", color="burlywood", weight=3]; 71[label="vuu300 == vuu3100",fontsize=16,color="black",shape="triangle"];71 -> 102[label="",style="solid", color="black", weight=3]; 72[label="vuu300 == vuu3100",fontsize=16,color="burlywood",shape="triangle"];909[label="vuu300/False",fontsize=10,color="white",style="solid",shape="box"];72 -> 909[label="",style="solid", color="burlywood", weight=9]; 909 -> 103[label="",style="solid", color="burlywood", weight=3]; 910[label="vuu300/True",fontsize=10,color="white",style="solid",shape="box"];72 -> 910[label="",style="solid", color="burlywood", weight=9]; 910 -> 104[label="",style="solid", color="burlywood", weight=3]; 73[label="vuu300 == vuu3100",fontsize=16,color="burlywood",shape="triangle"];911[label="vuu300/(vuu3000,vuu3001)",fontsize=10,color="white",style="solid",shape="box"];73 -> 911[label="",style="solid", color="burlywood", weight=9]; 911 -> 105[label="",style="solid", color="burlywood", weight=3]; 74[label="vuu300 == vuu3100",fontsize=16,color="burlywood",shape="triangle"];912[label="vuu300/Nothing",fontsize=10,color="white",style="solid",shape="box"];74 -> 912[label="",style="solid", color="burlywood", weight=9]; 912 -> 106[label="",style="solid", color="burlywood", weight=3]; 913[label="vuu300/Just vuu3000",fontsize=10,color="white",style="solid",shape="box"];74 -> 913[label="",style="solid", color="burlywood", weight=9]; 913 -> 107[label="",style="solid", color="burlywood", weight=3]; 75[label="List.groupByYs1 (==) (Just vuu9) (Just vuu10 : vuu11) (span2Span1 ((==) Just vuu9) vuu11 ((==) Just vuu9) (Just vuu10) vuu11 False)",fontsize=16,color="black",shape="box"];75 -> 108[label="",style="solid", color="black", weight=3]; 76[label="List.groupByYs1 (==) (Just vuu9) (Just vuu10 : vuu11) (span2Span1 ((==) Just vuu9) vuu11 ((==) Just vuu9) (Just vuu10) vuu11 True)",fontsize=16,color="black",shape="box"];76 -> 109[label="",style="solid", color="black", weight=3]; 77[label="List.groupByZs1 (==) Nothing (Nothing : vuu311) (Nothing : span2Ys ((==) Nothing) vuu311,span2Zs ((==) Nothing) vuu311)",fontsize=16,color="black",shape="box"];77 -> 110[label="",style="solid", color="black", weight=3]; 78[label="List.groupByZs1 (==) Nothing (Just vuu3100 : vuu311) (span2Span0 ((==) Nothing) vuu311 ((==) Nothing) (Just vuu3100) vuu311 otherwise)",fontsize=16,color="black",shape="box"];78 -> 111[label="",style="solid", color="black", weight=3]; 79[label="List.groupByZs1 (==) (Just vuu300) (Nothing : vuu311) (span2Span0 ((==) Just vuu300) vuu311 ((==) Just vuu300) Nothing vuu311 otherwise)",fontsize=16,color="black",shape="box"];79 -> 112[label="",style="solid", color="black", weight=3]; 81[label="vuu3100",fontsize=16,color="green",shape="box"];82[label="vuu300 == vuu3100",fontsize=16,color="blue",shape="box"];914[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];82 -> 914[label="",style="solid", color="blue", weight=9]; 914 -> 113[label="",style="solid", color="blue", weight=3]; 915[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];82 -> 915[label="",style="solid", color="blue", weight=9]; 915 -> 114[label="",style="solid", color="blue", weight=3]; 916[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];82 -> 916[label="",style="solid", color="blue", weight=9]; 916 -> 115[label="",style="solid", color="blue", weight=3]; 917[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];82 -> 917[label="",style="solid", color="blue", weight=9]; 917 -> 116[label="",style="solid", color="blue", weight=3]; 918[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];82 -> 918[label="",style="solid", color="blue", weight=9]; 918 -> 117[label="",style="solid", color="blue", weight=3]; 919[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];82 -> 919[label="",style="solid", color="blue", weight=9]; 919 -> 118[label="",style="solid", color="blue", weight=3]; 920[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];82 -> 920[label="",style="solid", color="blue", weight=9]; 920 -> 119[label="",style="solid", color="blue", weight=3]; 921[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];82 -> 921[label="",style="solid", color="blue", weight=9]; 921 -> 120[label="",style="solid", color="blue", weight=3]; 922[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];82 -> 922[label="",style="solid", color="blue", weight=9]; 922 -> 121[label="",style="solid", color="blue", weight=3]; 923[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];82 -> 923[label="",style="solid", color="blue", weight=9]; 923 -> 122[label="",style="solid", color="blue", weight=3]; 924[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];82 -> 924[label="",style="solid", color="blue", weight=9]; 924 -> 123[label="",style="solid", color="blue", weight=3]; 925[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];82 -> 925[label="",style="solid", color="blue", weight=9]; 925 -> 124[label="",style="solid", color="blue", weight=3]; 926[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];82 -> 926[label="",style="solid", color="blue", weight=9]; 926 -> 125[label="",style="solid", color="blue", weight=3]; 927[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];82 -> 927[label="",style="solid", color="blue", weight=9]; 927 -> 126[label="",style="solid", color="blue", weight=3]; 83[label="vuu300",fontsize=16,color="green",shape="box"];84[label="vuu311",fontsize=16,color="green",shape="box"];80[label="List.groupByZs1 (==) (Just vuu18) (Just vuu19 : vuu20) (span2Span1 ((==) Just vuu18) vuu20 ((==) Just vuu18) (Just vuu19) vuu20 vuu21)",fontsize=16,color="burlywood",shape="triangle"];928[label="vuu21/False",fontsize=10,color="white",style="solid",shape="box"];80 -> 928[label="",style="solid", color="burlywood", weight=9]; 928 -> 127[label="",style="solid", color="burlywood", weight=3]; 929[label="vuu21/True",fontsize=10,color="white",style="solid",shape="box"];80 -> 929[label="",style="solid", color="burlywood", weight=9]; 929 -> 128[label="",style="solid", color="burlywood", weight=3]; 85[label="span2Ys ((==) Nothing) vuu311",fontsize=16,color="black",shape="triangle"];85 -> 129[label="",style="solid", color="black", weight=3]; 86[label="List.groupByYs1 (==) Nothing (Just vuu3100 : vuu311) ([],Just vuu3100 : vuu311)",fontsize=16,color="black",shape="box"];86 -> 130[label="",style="solid", color="black", weight=3]; 87[label="List.groupByYs1 (==) (Just vuu300) (Nothing : vuu311) ([],Nothing : vuu311)",fontsize=16,color="black",shape="box"];87 -> 131[label="",style="solid", color="black", weight=3]; 88[label="() == vuu3100",fontsize=16,color="burlywood",shape="box"];930[label="vuu3100/()",fontsize=10,color="white",style="solid",shape="box"];88 -> 930[label="",style="solid", color="burlywood", weight=9]; 930 -> 132[label="",style="solid", color="burlywood", weight=3]; 89[label="primEqFloat vuu300 vuu3100",fontsize=16,color="burlywood",shape="box"];931[label="vuu300/Float vuu3000 vuu3001",fontsize=10,color="white",style="solid",shape="box"];89 -> 931[label="",style="solid", color="burlywood", weight=9]; 931 -> 133[label="",style="solid", color="burlywood", weight=3]; 90[label="vuu3000 : vuu3001 == vuu3100",fontsize=16,color="burlywood",shape="box"];932[label="vuu3100/vuu31000 : vuu31001",fontsize=10,color="white",style="solid",shape="box"];90 -> 932[label="",style="solid", color="burlywood", weight=9]; 932 -> 134[label="",style="solid", color="burlywood", weight=3]; 933[label="vuu3100/[]",fontsize=10,color="white",style="solid",shape="box"];90 -> 933[label="",style="solid", color="burlywood", weight=9]; 933 -> 135[label="",style="solid", color="burlywood", weight=3]; 91[label="[] == vuu3100",fontsize=16,color="burlywood",shape="box"];934[label="vuu3100/vuu31000 : vuu31001",fontsize=10,color="white",style="solid",shape="box"];91 -> 934[label="",style="solid", color="burlywood", weight=9]; 934 -> 136[label="",style="solid", color="burlywood", weight=3]; 935[label="vuu3100/[]",fontsize=10,color="white",style="solid",shape="box"];91 -> 935[label="",style="solid", color="burlywood", weight=9]; 935 -> 137[label="",style="solid", color="burlywood", weight=3]; 92[label="Integer vuu3000 == vuu3100",fontsize=16,color="burlywood",shape="box"];936[label="vuu3100/Integer vuu31000",fontsize=10,color="white",style="solid",shape="box"];92 -> 936[label="",style="solid", color="burlywood", weight=9]; 936 -> 138[label="",style="solid", color="burlywood", weight=3]; 93[label="(vuu3000,vuu3001,vuu3002) == vuu3100",fontsize=16,color="burlywood",shape="box"];937[label="vuu3100/(vuu31000,vuu31001,vuu31002)",fontsize=10,color="white",style="solid",shape="box"];93 -> 937[label="",style="solid", color="burlywood", weight=9]; 937 -> 139[label="",style="solid", color="burlywood", weight=3]; 94[label="LT == vuu3100",fontsize=16,color="burlywood",shape="box"];938[label="vuu3100/LT",fontsize=10,color="white",style="solid",shape="box"];94 -> 938[label="",style="solid", color="burlywood", weight=9]; 938 -> 140[label="",style="solid", color="burlywood", weight=3]; 939[label="vuu3100/EQ",fontsize=10,color="white",style="solid",shape="box"];94 -> 939[label="",style="solid", color="burlywood", weight=9]; 939 -> 141[label="",style="solid", color="burlywood", weight=3]; 940[label="vuu3100/GT",fontsize=10,color="white",style="solid",shape="box"];94 -> 940[label="",style="solid", color="burlywood", weight=9]; 940 -> 142[label="",style="solid", color="burlywood", weight=3]; 95[label="EQ == vuu3100",fontsize=16,color="burlywood",shape="box"];941[label="vuu3100/LT",fontsize=10,color="white",style="solid",shape="box"];95 -> 941[label="",style="solid", color="burlywood", weight=9]; 941 -> 143[label="",style="solid", color="burlywood", weight=3]; 942[label="vuu3100/EQ",fontsize=10,color="white",style="solid",shape="box"];95 -> 942[label="",style="solid", color="burlywood", weight=9]; 942 -> 144[label="",style="solid", color="burlywood", weight=3]; 943[label="vuu3100/GT",fontsize=10,color="white",style="solid",shape="box"];95 -> 943[label="",style="solid", color="burlywood", weight=9]; 943 -> 145[label="",style="solid", color="burlywood", weight=3]; 96[label="GT == vuu3100",fontsize=16,color="burlywood",shape="box"];944[label="vuu3100/LT",fontsize=10,color="white",style="solid",shape="box"];96 -> 944[label="",style="solid", color="burlywood", weight=9]; 944 -> 146[label="",style="solid", color="burlywood", weight=3]; 945[label="vuu3100/EQ",fontsize=10,color="white",style="solid",shape="box"];96 -> 945[label="",style="solid", color="burlywood", weight=9]; 945 -> 147[label="",style="solid", color="burlywood", weight=3]; 946[label="vuu3100/GT",fontsize=10,color="white",style="solid",shape="box"];96 -> 946[label="",style="solid", color="burlywood", weight=9]; 946 -> 148[label="",style="solid", color="burlywood", weight=3]; 97[label="primEqDouble vuu300 vuu3100",fontsize=16,color="burlywood",shape="box"];947[label="vuu300/Double vuu3000 vuu3001",fontsize=10,color="white",style="solid",shape="box"];97 -> 947[label="",style="solid", color="burlywood", weight=9]; 947 -> 149[label="",style="solid", color="burlywood", weight=3]; 98[label="vuu3000 :% vuu3001 == vuu3100",fontsize=16,color="burlywood",shape="box"];948[label="vuu3100/vuu31000 :% vuu31001",fontsize=10,color="white",style="solid",shape="box"];98 -> 948[label="",style="solid", color="burlywood", weight=9]; 948 -> 150[label="",style="solid", color="burlywood", weight=3]; 99[label="primEqInt vuu300 vuu3100",fontsize=16,color="burlywood",shape="triangle"];949[label="vuu300/Pos vuu3000",fontsize=10,color="white",style="solid",shape="box"];99 -> 949[label="",style="solid", color="burlywood", weight=9]; 949 -> 151[label="",style="solid", color="burlywood", weight=3]; 950[label="vuu300/Neg vuu3000",fontsize=10,color="white",style="solid",shape="box"];99 -> 950[label="",style="solid", color="burlywood", weight=9]; 950 -> 152[label="",style="solid", color="burlywood", weight=3]; 100[label="Left vuu3000 == vuu3100",fontsize=16,color="burlywood",shape="box"];951[label="vuu3100/Left vuu31000",fontsize=10,color="white",style="solid",shape="box"];100 -> 951[label="",style="solid", color="burlywood", weight=9]; 951 -> 153[label="",style="solid", color="burlywood", weight=3]; 952[label="vuu3100/Right vuu31000",fontsize=10,color="white",style="solid",shape="box"];100 -> 952[label="",style="solid", color="burlywood", weight=9]; 952 -> 154[label="",style="solid", color="burlywood", weight=3]; 101[label="Right vuu3000 == vuu3100",fontsize=16,color="burlywood",shape="box"];953[label="vuu3100/Left vuu31000",fontsize=10,color="white",style="solid",shape="box"];101 -> 953[label="",style="solid", color="burlywood", weight=9]; 953 -> 155[label="",style="solid", color="burlywood", weight=3]; 954[label="vuu3100/Right vuu31000",fontsize=10,color="white",style="solid",shape="box"];101 -> 954[label="",style="solid", color="burlywood", weight=9]; 954 -> 156[label="",style="solid", color="burlywood", weight=3]; 102[label="primEqChar vuu300 vuu3100",fontsize=16,color="burlywood",shape="box"];955[label="vuu300/Char vuu3000",fontsize=10,color="white",style="solid",shape="box"];102 -> 955[label="",style="solid", color="burlywood", weight=9]; 955 -> 157[label="",style="solid", color="burlywood", weight=3]; 103[label="False == vuu3100",fontsize=16,color="burlywood",shape="box"];956[label="vuu3100/False",fontsize=10,color="white",style="solid",shape="box"];103 -> 956[label="",style="solid", color="burlywood", weight=9]; 956 -> 158[label="",style="solid", color="burlywood", weight=3]; 957[label="vuu3100/True",fontsize=10,color="white",style="solid",shape="box"];103 -> 957[label="",style="solid", color="burlywood", weight=9]; 957 -> 159[label="",style="solid", color="burlywood", weight=3]; 104[label="True == vuu3100",fontsize=16,color="burlywood",shape="box"];958[label="vuu3100/False",fontsize=10,color="white",style="solid",shape="box"];104 -> 958[label="",style="solid", color="burlywood", weight=9]; 958 -> 160[label="",style="solid", color="burlywood", weight=3]; 959[label="vuu3100/True",fontsize=10,color="white",style="solid",shape="box"];104 -> 959[label="",style="solid", color="burlywood", weight=9]; 959 -> 161[label="",style="solid", color="burlywood", weight=3]; 105[label="(vuu3000,vuu3001) == vuu3100",fontsize=16,color="burlywood",shape="box"];960[label="vuu3100/(vuu31000,vuu31001)",fontsize=10,color="white",style="solid",shape="box"];105 -> 960[label="",style="solid", color="burlywood", weight=9]; 960 -> 162[label="",style="solid", color="burlywood", weight=3]; 106[label="Nothing == vuu3100",fontsize=16,color="burlywood",shape="box"];961[label="vuu3100/Nothing",fontsize=10,color="white",style="solid",shape="box"];106 -> 961[label="",style="solid", color="burlywood", weight=9]; 961 -> 163[label="",style="solid", color="burlywood", weight=3]; 962[label="vuu3100/Just vuu31000",fontsize=10,color="white",style="solid",shape="box"];106 -> 962[label="",style="solid", color="burlywood", weight=9]; 962 -> 164[label="",style="solid", color="burlywood", weight=3]; 107[label="Just vuu3000 == vuu3100",fontsize=16,color="burlywood",shape="box"];963[label="vuu3100/Nothing",fontsize=10,color="white",style="solid",shape="box"];107 -> 963[label="",style="solid", color="burlywood", weight=9]; 963 -> 165[label="",style="solid", color="burlywood", weight=3]; 964[label="vuu3100/Just vuu31000",fontsize=10,color="white",style="solid",shape="box"];107 -> 964[label="",style="solid", color="burlywood", weight=9]; 964 -> 166[label="",style="solid", color="burlywood", weight=3]; 108[label="List.groupByYs1 (==) (Just vuu9) (Just vuu10 : vuu11) (span2Span0 ((==) Just vuu9) vuu11 ((==) Just vuu9) (Just vuu10) vuu11 otherwise)",fontsize=16,color="black",shape="box"];108 -> 167[label="",style="solid", color="black", weight=3]; 109[label="List.groupByYs1 (==) (Just vuu9) (Just vuu10 : vuu11) (Just vuu10 : span2Ys ((==) Just vuu9) vuu11,span2Zs ((==) Just vuu9) vuu11)",fontsize=16,color="black",shape="box"];109 -> 168[label="",style="solid", color="black", weight=3]; 110[label="span2Zs ((==) Nothing) vuu311",fontsize=16,color="black",shape="triangle"];110 -> 169[label="",style="solid", color="black", weight=3]; 111[label="List.groupByZs1 (==) Nothing (Just vuu3100 : vuu311) (span2Span0 ((==) Nothing) vuu311 ((==) Nothing) (Just vuu3100) vuu311 True)",fontsize=16,color="black",shape="box"];111 -> 170[label="",style="solid", color="black", weight=3]; 112[label="List.groupByZs1 (==) (Just vuu300) (Nothing : vuu311) (span2Span0 ((==) Just vuu300) vuu311 ((==) Just vuu300) Nothing vuu311 True)",fontsize=16,color="black",shape="box"];112 -> 171[label="",style="solid", color="black", weight=3]; 113 -> 61[label="",style="dashed", color="red", weight=0]; 113[label="vuu300 == vuu3100",fontsize=16,color="magenta"];114 -> 62[label="",style="dashed", color="red", weight=0]; 114[label="vuu300 == vuu3100",fontsize=16,color="magenta"];115 -> 63[label="",style="dashed", color="red", weight=0]; 115[label="vuu300 == vuu3100",fontsize=16,color="magenta"];116 -> 64[label="",style="dashed", color="red", weight=0]; 116[label="vuu300 == vuu3100",fontsize=16,color="magenta"];117 -> 65[label="",style="dashed", color="red", weight=0]; 117[label="vuu300 == vuu3100",fontsize=16,color="magenta"];118 -> 66[label="",style="dashed", color="red", weight=0]; 118[label="vuu300 == vuu3100",fontsize=16,color="magenta"];119 -> 67[label="",style="dashed", color="red", weight=0]; 119[label="vuu300 == vuu3100",fontsize=16,color="magenta"];120 -> 68[label="",style="dashed", color="red", weight=0]; 120[label="vuu300 == vuu3100",fontsize=16,color="magenta"];121 -> 69[label="",style="dashed", color="red", weight=0]; 121[label="vuu300 == vuu3100",fontsize=16,color="magenta"];122 -> 70[label="",style="dashed", color="red", weight=0]; 122[label="vuu300 == vuu3100",fontsize=16,color="magenta"];123 -> 71[label="",style="dashed", color="red", weight=0]; 123[label="vuu300 == vuu3100",fontsize=16,color="magenta"];124 -> 72[label="",style="dashed", color="red", weight=0]; 124[label="vuu300 == vuu3100",fontsize=16,color="magenta"];125 -> 73[label="",style="dashed", color="red", weight=0]; 125[label="vuu300 == vuu3100",fontsize=16,color="magenta"];126 -> 74[label="",style="dashed", color="red", weight=0]; 126[label="vuu300 == vuu3100",fontsize=16,color="magenta"];127[label="List.groupByZs1 (==) (Just vuu18) (Just vuu19 : vuu20) (span2Span1 ((==) Just vuu18) vuu20 ((==) Just vuu18) (Just vuu19) vuu20 False)",fontsize=16,color="black",shape="box"];127 -> 172[label="",style="solid", color="black", weight=3]; 128[label="List.groupByZs1 (==) (Just vuu18) (Just vuu19 : vuu20) (span2Span1 ((==) Just vuu18) vuu20 ((==) Just vuu18) (Just vuu19) vuu20 True)",fontsize=16,color="black",shape="box"];128 -> 173[label="",style="solid", color="black", weight=3]; 129[label="span2Ys0 ((==) Nothing) vuu311 (span2Vu43 ((==) Nothing) vuu311)",fontsize=16,color="black",shape="box"];129 -> 174[label="",style="solid", color="black", weight=3]; 130[label="[]",fontsize=16,color="green",shape="box"];131[label="[]",fontsize=16,color="green",shape="box"];132[label="() == ()",fontsize=16,color="black",shape="box"];132 -> 175[label="",style="solid", color="black", weight=3]; 133[label="primEqFloat (Float vuu3000 vuu3001) vuu3100",fontsize=16,color="burlywood",shape="box"];965[label="vuu3100/Float vuu31000 vuu31001",fontsize=10,color="white",style="solid",shape="box"];133 -> 965[label="",style="solid", color="burlywood", weight=9]; 965 -> 176[label="",style="solid", color="burlywood", weight=3]; 134[label="vuu3000 : vuu3001 == vuu31000 : vuu31001",fontsize=16,color="black",shape="box"];134 -> 177[label="",style="solid", color="black", weight=3]; 135[label="vuu3000 : vuu3001 == []",fontsize=16,color="black",shape="box"];135 -> 178[label="",style="solid", color="black", weight=3]; 136[label="[] == vuu31000 : vuu31001",fontsize=16,color="black",shape="box"];136 -> 179[label="",style="solid", color="black", weight=3]; 137[label="[] == []",fontsize=16,color="black",shape="box"];137 -> 180[label="",style="solid", color="black", weight=3]; 138[label="Integer vuu3000 == Integer vuu31000",fontsize=16,color="black",shape="box"];138 -> 181[label="",style="solid", color="black", weight=3]; 139[label="(vuu3000,vuu3001,vuu3002) == (vuu31000,vuu31001,vuu31002)",fontsize=16,color="black",shape="box"];139 -> 182[label="",style="solid", color="black", weight=3]; 140[label="LT == LT",fontsize=16,color="black",shape="box"];140 -> 183[label="",style="solid", color="black", weight=3]; 141[label="LT == EQ",fontsize=16,color="black",shape="box"];141 -> 184[label="",style="solid", color="black", weight=3]; 142[label="LT == GT",fontsize=16,color="black",shape="box"];142 -> 185[label="",style="solid", color="black", weight=3]; 143[label="EQ == LT",fontsize=16,color="black",shape="box"];143 -> 186[label="",style="solid", color="black", weight=3]; 144[label="EQ == EQ",fontsize=16,color="black",shape="box"];144 -> 187[label="",style="solid", color="black", weight=3]; 145[label="EQ == GT",fontsize=16,color="black",shape="box"];145 -> 188[label="",style="solid", color="black", weight=3]; 146[label="GT == LT",fontsize=16,color="black",shape="box"];146 -> 189[label="",style="solid", color="black", weight=3]; 147[label="GT == EQ",fontsize=16,color="black",shape="box"];147 -> 190[label="",style="solid", color="black", weight=3]; 148[label="GT == GT",fontsize=16,color="black",shape="box"];148 -> 191[label="",style="solid", color="black", weight=3]; 149[label="primEqDouble (Double vuu3000 vuu3001) vuu3100",fontsize=16,color="burlywood",shape="box"];966[label="vuu3100/Double vuu31000 vuu31001",fontsize=10,color="white",style="solid",shape="box"];149 -> 966[label="",style="solid", color="burlywood", weight=9]; 966 -> 192[label="",style="solid", color="burlywood", weight=3]; 150[label="vuu3000 :% vuu3001 == vuu31000 :% vuu31001",fontsize=16,color="black",shape="box"];150 -> 193[label="",style="solid", color="black", weight=3]; 151[label="primEqInt (Pos vuu3000) vuu3100",fontsize=16,color="burlywood",shape="box"];967[label="vuu3000/Succ vuu30000",fontsize=10,color="white",style="solid",shape="box"];151 -> 967[label="",style="solid", color="burlywood", weight=9]; 967 -> 194[label="",style="solid", color="burlywood", weight=3]; 968[label="vuu3000/Zero",fontsize=10,color="white",style="solid",shape="box"];151 -> 968[label="",style="solid", color="burlywood", weight=9]; 968 -> 195[label="",style="solid", color="burlywood", weight=3]; 152[label="primEqInt (Neg vuu3000) vuu3100",fontsize=16,color="burlywood",shape="box"];969[label="vuu3000/Succ vuu30000",fontsize=10,color="white",style="solid",shape="box"];152 -> 969[label="",style="solid", color="burlywood", weight=9]; 969 -> 196[label="",style="solid", color="burlywood", weight=3]; 970[label="vuu3000/Zero",fontsize=10,color="white",style="solid",shape="box"];152 -> 970[label="",style="solid", color="burlywood", weight=9]; 970 -> 197[label="",style="solid", color="burlywood", weight=3]; 153[label="Left vuu3000 == Left vuu31000",fontsize=16,color="black",shape="box"];153 -> 198[label="",style="solid", color="black", weight=3]; 154[label="Left vuu3000 == Right vuu31000",fontsize=16,color="black",shape="box"];154 -> 199[label="",style="solid", color="black", weight=3]; 155[label="Right vuu3000 == Left vuu31000",fontsize=16,color="black",shape="box"];155 -> 200[label="",style="solid", color="black", weight=3]; 156[label="Right vuu3000 == Right vuu31000",fontsize=16,color="black",shape="box"];156 -> 201[label="",style="solid", color="black", weight=3]; 157[label="primEqChar (Char vuu3000) vuu3100",fontsize=16,color="burlywood",shape="box"];971[label="vuu3100/Char vuu31000",fontsize=10,color="white",style="solid",shape="box"];157 -> 971[label="",style="solid", color="burlywood", weight=9]; 971 -> 202[label="",style="solid", color="burlywood", weight=3]; 158[label="False == False",fontsize=16,color="black",shape="box"];158 -> 203[label="",style="solid", color="black", weight=3]; 159[label="False == True",fontsize=16,color="black",shape="box"];159 -> 204[label="",style="solid", color="black", weight=3]; 160[label="True == False",fontsize=16,color="black",shape="box"];160 -> 205[label="",style="solid", color="black", weight=3]; 161[label="True == True",fontsize=16,color="black",shape="box"];161 -> 206[label="",style="solid", color="black", weight=3]; 162[label="(vuu3000,vuu3001) == (vuu31000,vuu31001)",fontsize=16,color="black",shape="box"];162 -> 207[label="",style="solid", color="black", weight=3]; 163[label="Nothing == Nothing",fontsize=16,color="black",shape="box"];163 -> 208[label="",style="solid", color="black", weight=3]; 164[label="Nothing == Just vuu31000",fontsize=16,color="black",shape="box"];164 -> 209[label="",style="solid", color="black", weight=3]; 165[label="Just vuu3000 == Nothing",fontsize=16,color="black",shape="box"];165 -> 210[label="",style="solid", color="black", weight=3]; 166[label="Just vuu3000 == Just vuu31000",fontsize=16,color="black",shape="box"];166 -> 211[label="",style="solid", color="black", weight=3]; 167[label="List.groupByYs1 (==) (Just vuu9) (Just vuu10 : vuu11) (span2Span0 ((==) Just vuu9) vuu11 ((==) Just vuu9) (Just vuu10) vuu11 True)",fontsize=16,color="black",shape="box"];167 -> 212[label="",style="solid", color="black", weight=3]; 168[label="Just vuu10 : span2Ys ((==) Just vuu9) vuu11",fontsize=16,color="green",shape="box"];168 -> 213[label="",style="dashed", color="green", weight=3]; 169[label="span2Zs0 ((==) Nothing) vuu311 (span2Vu43 ((==) Nothing) vuu311)",fontsize=16,color="black",shape="box"];169 -> 214[label="",style="solid", color="black", weight=3]; 170[label="List.groupByZs1 (==) Nothing (Just vuu3100 : vuu311) ([],Just vuu3100 : vuu311)",fontsize=16,color="black",shape="box"];170 -> 215[label="",style="solid", color="black", weight=3]; 171[label="List.groupByZs1 (==) (Just vuu300) (Nothing : vuu311) ([],Nothing : vuu311)",fontsize=16,color="black",shape="box"];171 -> 216[label="",style="solid", color="black", weight=3]; 172[label="List.groupByZs1 (==) (Just vuu18) (Just vuu19 : vuu20) (span2Span0 ((==) Just vuu18) vuu20 ((==) Just vuu18) (Just vuu19) vuu20 otherwise)",fontsize=16,color="black",shape="box"];172 -> 217[label="",style="solid", color="black", weight=3]; 173[label="List.groupByZs1 (==) (Just vuu18) (Just vuu19 : vuu20) (Just vuu19 : span2Ys ((==) Just vuu18) vuu20,span2Zs ((==) Just vuu18) vuu20)",fontsize=16,color="black",shape="box"];173 -> 218[label="",style="solid", color="black", weight=3]; 174[label="span2Ys0 ((==) Nothing) vuu311 (span ((==) Nothing) vuu311)",fontsize=16,color="burlywood",shape="box"];972[label="vuu311/vuu3110 : vuu3111",fontsize=10,color="white",style="solid",shape="box"];174 -> 972[label="",style="solid", color="burlywood", weight=9]; 972 -> 219[label="",style="solid", color="burlywood", weight=3]; 973[label="vuu311/[]",fontsize=10,color="white",style="solid",shape="box"];174 -> 973[label="",style="solid", color="burlywood", weight=9]; 973 -> 220[label="",style="solid", color="burlywood", weight=3]; 175[label="True",fontsize=16,color="green",shape="box"];176[label="primEqFloat (Float vuu3000 vuu3001) (Float vuu31000 vuu31001)",fontsize=16,color="black",shape="box"];176 -> 221[label="",style="solid", color="black", weight=3]; 177 -> 299[label="",style="dashed", color="red", weight=0]; 177[label="vuu3000 == vuu31000 && vuu3001 == vuu31001",fontsize=16,color="magenta"];177 -> 300[label="",style="dashed", color="magenta", weight=3]; 177 -> 301[label="",style="dashed", color="magenta", weight=3]; 178[label="False",fontsize=16,color="green",shape="box"];179[label="False",fontsize=16,color="green",shape="box"];180[label="True",fontsize=16,color="green",shape="box"];181 -> 99[label="",style="dashed", color="red", weight=0]; 181[label="primEqInt vuu3000 vuu31000",fontsize=16,color="magenta"];181 -> 233[label="",style="dashed", color="magenta", weight=3]; 181 -> 234[label="",style="dashed", color="magenta", weight=3]; 182 -> 299[label="",style="dashed", color="red", weight=0]; 182[label="vuu3000 == vuu31000 && vuu3001 == vuu31001 && vuu3002 == vuu31002",fontsize=16,color="magenta"];182 -> 302[label="",style="dashed", color="magenta", weight=3]; 182 -> 303[label="",style="dashed", color="magenta", weight=3]; 183[label="True",fontsize=16,color="green",shape="box"];184[label="False",fontsize=16,color="green",shape="box"];185[label="False",fontsize=16,color="green",shape="box"];186[label="False",fontsize=16,color="green",shape="box"];187[label="True",fontsize=16,color="green",shape="box"];188[label="False",fontsize=16,color="green",shape="box"];189[label="False",fontsize=16,color="green",shape="box"];190[label="False",fontsize=16,color="green",shape="box"];191[label="True",fontsize=16,color="green",shape="box"];192[label="primEqDouble (Double vuu3000 vuu3001) (Double vuu31000 vuu31001)",fontsize=16,color="black",shape="box"];192 -> 235[label="",style="solid", color="black", weight=3]; 193 -> 299[label="",style="dashed", color="red", weight=0]; 193[label="vuu3000 == vuu31000 && vuu3001 == vuu31001",fontsize=16,color="magenta"];193 -> 304[label="",style="dashed", color="magenta", weight=3]; 193 -> 305[label="",style="dashed", color="magenta", weight=3]; 194[label="primEqInt (Pos (Succ vuu30000)) vuu3100",fontsize=16,color="burlywood",shape="box"];974[label="vuu3100/Pos vuu31000",fontsize=10,color="white",style="solid",shape="box"];194 -> 974[label="",style="solid", color="burlywood", weight=9]; 974 -> 236[label="",style="solid", color="burlywood", weight=3]; 975[label="vuu3100/Neg vuu31000",fontsize=10,color="white",style="solid",shape="box"];194 -> 975[label="",style="solid", color="burlywood", weight=9]; 975 -> 237[label="",style="solid", color="burlywood", weight=3]; 195[label="primEqInt (Pos Zero) vuu3100",fontsize=16,color="burlywood",shape="box"];976[label="vuu3100/Pos vuu31000",fontsize=10,color="white",style="solid",shape="box"];195 -> 976[label="",style="solid", color="burlywood", weight=9]; 976 -> 238[label="",style="solid", color="burlywood", weight=3]; 977[label="vuu3100/Neg vuu31000",fontsize=10,color="white",style="solid",shape="box"];195 -> 977[label="",style="solid", color="burlywood", weight=9]; 977 -> 239[label="",style="solid", color="burlywood", weight=3]; 196[label="primEqInt (Neg (Succ vuu30000)) vuu3100",fontsize=16,color="burlywood",shape="box"];978[label="vuu3100/Pos vuu31000",fontsize=10,color="white",style="solid",shape="box"];196 -> 978[label="",style="solid", color="burlywood", weight=9]; 978 -> 240[label="",style="solid", color="burlywood", weight=3]; 979[label="vuu3100/Neg vuu31000",fontsize=10,color="white",style="solid",shape="box"];196 -> 979[label="",style="solid", color="burlywood", weight=9]; 979 -> 241[label="",style="solid", color="burlywood", weight=3]; 197[label="primEqInt (Neg Zero) vuu3100",fontsize=16,color="burlywood",shape="box"];980[label="vuu3100/Pos vuu31000",fontsize=10,color="white",style="solid",shape="box"];197 -> 980[label="",style="solid", color="burlywood", weight=9]; 980 -> 242[label="",style="solid", color="burlywood", weight=3]; 981[label="vuu3100/Neg vuu31000",fontsize=10,color="white",style="solid",shape="box"];197 -> 981[label="",style="solid", color="burlywood", weight=9]; 981 -> 243[label="",style="solid", color="burlywood", weight=3]; 198[label="vuu3000 == vuu31000",fontsize=16,color="blue",shape="box"];982[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];198 -> 982[label="",style="solid", color="blue", weight=9]; 982 -> 244[label="",style="solid", color="blue", weight=3]; 983[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];198 -> 983[label="",style="solid", color="blue", weight=9]; 983 -> 245[label="",style="solid", color="blue", weight=3]; 984[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];198 -> 984[label="",style="solid", color="blue", weight=9]; 984 -> 246[label="",style="solid", color="blue", weight=3]; 985[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];198 -> 985[label="",style="solid", color="blue", weight=9]; 985 -> 247[label="",style="solid", color="blue", weight=3]; 986[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];198 -> 986[label="",style="solid", color="blue", weight=9]; 986 -> 248[label="",style="solid", color="blue", weight=3]; 987[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];198 -> 987[label="",style="solid", color="blue", weight=9]; 987 -> 249[label="",style="solid", color="blue", weight=3]; 988[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];198 -> 988[label="",style="solid", color="blue", weight=9]; 988 -> 250[label="",style="solid", color="blue", weight=3]; 989[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];198 -> 989[label="",style="solid", color="blue", weight=9]; 989 -> 251[label="",style="solid", color="blue", weight=3]; 990[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];198 -> 990[label="",style="solid", color="blue", weight=9]; 990 -> 252[label="",style="solid", color="blue", weight=3]; 991[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];198 -> 991[label="",style="solid", color="blue", weight=9]; 991 -> 253[label="",style="solid", color="blue", weight=3]; 992[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];198 -> 992[label="",style="solid", color="blue", weight=9]; 992 -> 254[label="",style="solid", color="blue", weight=3]; 993[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];198 -> 993[label="",style="solid", color="blue", weight=9]; 993 -> 255[label="",style="solid", color="blue", weight=3]; 994[label="== :: ((@2) a 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259[label="",style="solid", color="blue", weight=3]; 998[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];201 -> 998[label="",style="solid", color="blue", weight=9]; 998 -> 260[label="",style="solid", color="blue", weight=3]; 999[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];201 -> 999[label="",style="solid", color="blue", weight=9]; 999 -> 261[label="",style="solid", color="blue", weight=3]; 1000[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];201 -> 1000[label="",style="solid", color="blue", weight=9]; 1000 -> 262[label="",style="solid", color="blue", weight=3]; 1001[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];201 -> 1001[label="",style="solid", color="blue", weight=9]; 1001 -> 263[label="",style="solid", color="blue", weight=3]; 1002[label="== :: Double -> Double -> 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203[label="True",fontsize=16,color="green",shape="box"];204[label="False",fontsize=16,color="green",shape="box"];205[label="False",fontsize=16,color="green",shape="box"];206[label="True",fontsize=16,color="green",shape="box"];207 -> 299[label="",style="dashed", color="red", weight=0]; 207[label="vuu3000 == vuu31000 && vuu3001 == vuu31001",fontsize=16,color="magenta"];207 -> 306[label="",style="dashed", color="magenta", weight=3]; 207 -> 307[label="",style="dashed", color="magenta", weight=3]; 208[label="True",fontsize=16,color="green",shape="box"];209[label="False",fontsize=16,color="green",shape="box"];210[label="False",fontsize=16,color="green",shape="box"];211[label="vuu3000 == vuu31000",fontsize=16,color="blue",shape="box"];1010[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];211 -> 1010[label="",style="solid", color="blue", weight=9]; 1010 -> 273[label="",style="solid", color="blue", weight=3]; 1011[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];211 -> 1011[label="",style="solid", color="blue", weight=9]; 1011 -> 274[label="",style="solid", color="blue", weight=3]; 1012[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];211 -> 1012[label="",style="solid", color="blue", weight=9]; 1012 -> 275[label="",style="solid", color="blue", weight=3]; 1013[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];211 -> 1013[label="",style="solid", color="blue", weight=9]; 1013 -> 276[label="",style="solid", color="blue", weight=3]; 1014[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];211 -> 1014[label="",style="solid", color="blue", weight=9]; 1014 -> 277[label="",style="solid", color="blue", weight=3]; 1015[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];211 -> 1015[label="",style="solid", color="blue", weight=9]; 1015 -> 278[label="",style="solid", color="blue", weight=3]; 1016[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];211 -> 1016[label="",style="solid", color="blue", weight=9]; 1016 -> 279[label="",style="solid", color="blue", weight=3]; 1017[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];211 -> 1017[label="",style="solid", color="blue", weight=9]; 1017 -> 280[label="",style="solid", color="blue", weight=3]; 1018[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];211 -> 1018[label="",style="solid", color="blue", weight=9]; 1018 -> 281[label="",style="solid", color="blue", weight=3]; 1019[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];211 -> 1019[label="",style="solid", color="blue", weight=9]; 1019 -> 282[label="",style="solid", color="blue", weight=3]; 1020[label="== :: Char -> 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287[label="",style="solid", color="black", weight=3]; 213[label="span2Ys ((==) Just vuu9) vuu11",fontsize=16,color="black",shape="triangle"];213 -> 288[label="",style="solid", color="black", weight=3]; 214[label="span2Zs0 ((==) Nothing) vuu311 (span ((==) Nothing) vuu311)",fontsize=16,color="burlywood",shape="box"];1024[label="vuu311/vuu3110 : vuu3111",fontsize=10,color="white",style="solid",shape="box"];214 -> 1024[label="",style="solid", color="burlywood", weight=9]; 1024 -> 289[label="",style="solid", color="burlywood", weight=3]; 1025[label="vuu311/[]",fontsize=10,color="white",style="solid",shape="box"];214 -> 1025[label="",style="solid", color="burlywood", weight=9]; 1025 -> 290[label="",style="solid", color="burlywood", weight=3]; 215[label="Just vuu3100 : vuu311",fontsize=16,color="green",shape="box"];216[label="Nothing : vuu311",fontsize=16,color="green",shape="box"];217[label="List.groupByZs1 (==) (Just vuu18) (Just vuu19 : vuu20) (span2Span0 ((==) Just vuu18) vuu20 ((==) 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1034 -> 320[label="",style="solid", color="blue", weight=3]; 1035[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];300 -> 1035[label="",style="solid", color="blue", weight=9]; 1035 -> 321[label="",style="solid", color="blue", weight=3]; 1036[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];300 -> 1036[label="",style="solid", color="blue", weight=9]; 1036 -> 322[label="",style="solid", color="blue", weight=3]; 1037[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];300 -> 1037[label="",style="solid", color="blue", weight=9]; 1037 -> 323[label="",style="solid", color="blue", weight=3]; 1038[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];300 -> 1038[label="",style="solid", color="blue", weight=9]; 1038 -> 324[label="",style="solid", color="blue", weight=3]; 1039[label="== :: (Maybe a) -> (Maybe a) -> 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233[label="vuu3000",fontsize=16,color="green",shape="box"];234[label="vuu31000",fontsize=16,color="green",shape="box"];302[label="vuu3000 == vuu31000",fontsize=16,color="blue",shape="box"];1042[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];302 -> 1042[label="",style="solid", color="blue", weight=9]; 1042 -> 330[label="",style="solid", color="blue", weight=3]; 1043[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];302 -> 1043[label="",style="solid", color="blue", weight=9]; 1043 -> 331[label="",style="solid", color="blue", weight=3]; 1044[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];302 -> 1044[label="",style="solid", color="blue", weight=9]; 1044 -> 332[label="",style="solid", color="blue", weight=3]; 1045[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];302 -> 1045[label="",style="solid", color="blue", weight=9]; 1045 -> 333[label="",style="solid", color="blue", weight=3]; 1046[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];302 -> 1046[label="",style="solid", color="blue", weight=9]; 1046 -> 334[label="",style="solid", color="blue", weight=3]; 1047[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];302 -> 1047[label="",style="solid", color="blue", weight=9]; 1047 -> 335[label="",style="solid", color="blue", weight=3]; 1048[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];302 -> 1048[label="",style="solid", color="blue", weight=9]; 1048 -> 336[label="",style="solid", color="blue", weight=3]; 1049[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];302 -> 1049[label="",style="solid", color="blue", weight=9]; 1049 -> 337[label="",style="solid", color="blue", weight=3]; 1050[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];302 -> 1050[label="",style="solid", color="blue", weight=9]; 1050 -> 338[label="",style="solid", color="blue", weight=3]; 1051[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];302 -> 1051[label="",style="solid", color="blue", weight=9]; 1051 -> 339[label="",style="solid", color="blue", weight=3]; 1052[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];302 -> 1052[label="",style="solid", color="blue", weight=9]; 1052 -> 340[label="",style="solid", color="blue", weight=3]; 1053[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];302 -> 1053[label="",style="solid", color="blue", weight=9]; 1053 -> 341[label="",style="solid", color="blue", weight=3]; 1054[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];302 -> 1054[label="",style="solid", color="blue", weight=9]; 1054 -> 342[label="",style="solid", color="blue", weight=3]; 1055[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];302 -> 1055[label="",style="solid", color="blue", weight=9]; 1055 -> 343[label="",style="solid", color="blue", weight=3]; 303 -> 299[label="",style="dashed", color="red", weight=0]; 303[label="vuu3001 == vuu31001 && vuu3002 == vuu31002",fontsize=16,color="magenta"];303 -> 344[label="",style="dashed", color="magenta", weight=3]; 303 -> 345[label="",style="dashed", color="magenta", weight=3]; 235 -> 69[label="",style="dashed", color="red", weight=0]; 235[label="vuu3000 * vuu31001 == vuu3001 * vuu31000",fontsize=16,color="magenta"];235 -> 346[label="",style="dashed", color="magenta", weight=3]; 235 -> 347[label="",style="dashed", color="magenta", weight=3]; 304[label="vuu3000 == vuu31000",fontsize=16,color="blue",shape="box"];1056[label="== :: Integer -> Integer -> 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color="magenta", weight=3]; 436 -> 73[label="",style="dashed", color="red", weight=0]; 436[label="vuu3000 == vuu31000",fontsize=16,color="magenta"];436 -> 628[label="",style="dashed", color="magenta", weight=3]; 436 -> 629[label="",style="dashed", color="magenta", weight=3]; 437 -> 74[label="",style="dashed", color="red", weight=0]; 437[label="vuu3000 == vuu31000",fontsize=16,color="magenta"];437 -> 630[label="",style="dashed", color="magenta", weight=3]; 437 -> 631[label="",style="dashed", color="magenta", weight=3]; 438 -> 61[label="",style="dashed", color="red", weight=0]; 438[label="vuu3001 == vuu31001",fontsize=16,color="magenta"];438 -> 632[label="",style="dashed", color="magenta", weight=3]; 438 -> 633[label="",style="dashed", color="magenta", weight=3]; 439 -> 62[label="",style="dashed", color="red", weight=0]; 439[label="vuu3001 == vuu31001",fontsize=16,color="magenta"];439 -> 634[label="",style="dashed", color="magenta", weight=3]; 439 -> 635[label="",style="dashed", color="magenta", weight=3]; 440 -> 63[label="",style="dashed", color="red", weight=0]; 440[label="vuu3001 == vuu31001",fontsize=16,color="magenta"];440 -> 636[label="",style="dashed", color="magenta", weight=3]; 440 -> 637[label="",style="dashed", color="magenta", weight=3]; 441 -> 64[label="",style="dashed", color="red", weight=0]; 441[label="vuu3001 == vuu31001",fontsize=16,color="magenta"];441 -> 638[label="",style="dashed", color="magenta", weight=3]; 441 -> 639[label="",style="dashed", color="magenta", weight=3]; 442 -> 65[label="",style="dashed", color="red", weight=0]; 442[label="vuu3001 == vuu31001",fontsize=16,color="magenta"];442 -> 640[label="",style="dashed", color="magenta", weight=3]; 442 -> 641[label="",style="dashed", color="magenta", weight=3]; 443 -> 66[label="",style="dashed", color="red", weight=0]; 443[label="vuu3001 == vuu31001",fontsize=16,color="magenta"];443 -> 642[label="",style="dashed", color="magenta", weight=3]; 443 -> 643[label="",style="dashed", color="magenta", weight=3]; 444 -> 67[label="",style="dashed", color="red", weight=0]; 444[label="vuu3001 == vuu31001",fontsize=16,color="magenta"];444 -> 644[label="",style="dashed", color="magenta", weight=3]; 444 -> 645[label="",style="dashed", color="magenta", weight=3]; 445 -> 68[label="",style="dashed", color="red", weight=0]; 445[label="vuu3001 == vuu31001",fontsize=16,color="magenta"];445 -> 646[label="",style="dashed", color="magenta", weight=3]; 445 -> 647[label="",style="dashed", color="magenta", weight=3]; 446 -> 69[label="",style="dashed", color="red", weight=0]; 446[label="vuu3001 == vuu31001",fontsize=16,color="magenta"];446 -> 648[label="",style="dashed", color="magenta", weight=3]; 446 -> 649[label="",style="dashed", color="magenta", weight=3]; 447 -> 70[label="",style="dashed", color="red", weight=0]; 447[label="vuu3001 == vuu31001",fontsize=16,color="magenta"];447 -> 650[label="",style="dashed", color="magenta", weight=3]; 447 -> 651[label="",style="dashed", color="magenta", weight=3]; 448 -> 71[label="",style="dashed", color="red", weight=0]; 448[label="vuu3001 == vuu31001",fontsize=16,color="magenta"];448 -> 652[label="",style="dashed", color="magenta", weight=3]; 448 -> 653[label="",style="dashed", color="magenta", weight=3]; 449 -> 72[label="",style="dashed", color="red", weight=0]; 449[label="vuu3001 == vuu31001",fontsize=16,color="magenta"];449 -> 654[label="",style="dashed", color="magenta", weight=3]; 449 -> 655[label="",style="dashed", color="magenta", weight=3]; 450 -> 73[label="",style="dashed", color="red", weight=0]; 450[label="vuu3001 == vuu31001",fontsize=16,color="magenta"];450 -> 656[label="",style="dashed", color="magenta", weight=3]; 450 -> 657[label="",style="dashed", color="magenta", weight=3]; 451 -> 74[label="",style="dashed", color="red", weight=0]; 451[label="vuu3001 == vuu31001",fontsize=16,color="magenta"];451 -> 658[label="",style="dashed", color="magenta", weight=3]; 451 -> 659[label="",style="dashed", color="magenta", weight=3]; 452[label="vuu3000",fontsize=16,color="green",shape="box"];453[label="vuu31000",fontsize=16,color="green",shape="box"];454[label="vuu3000",fontsize=16,color="green",shape="box"];455[label="vuu31000",fontsize=16,color="green",shape="box"];456[label="vuu3000",fontsize=16,color="green",shape="box"];457[label="vuu31000",fontsize=16,color="green",shape="box"];458[label="vuu3000",fontsize=16,color="green",shape="box"];459[label="vuu31000",fontsize=16,color="green",shape="box"];460[label="vuu3000",fontsize=16,color="green",shape="box"];461[label="vuu31000",fontsize=16,color="green",shape="box"];462[label="vuu3000",fontsize=16,color="green",shape="box"];463[label="vuu31000",fontsize=16,color="green",shape="box"];464[label="vuu3000",fontsize=16,color="green",shape="box"];465[label="vuu31000",fontsize=16,color="green",shape="box"];466[label="vuu3000",fontsize=16,color="green",shape="box"];467[label="vuu31000",fontsize=16,color="green",shape="box"];468[label="vuu3000",fontsize=16,color="green",shape="box"];469[label="vuu31000",fontsize=16,color="green",shape="box"];470[label="vuu3000",fontsize=16,color="green",shape="box"];471[label="vuu31000",fontsize=16,color="green",shape="box"];472[label="vuu3000",fontsize=16,color="green",shape="box"];473[label="vuu31000",fontsize=16,color="green",shape="box"];474[label="vuu3000",fontsize=16,color="green",shape="box"];475[label="vuu31000",fontsize=16,color="green",shape="box"];476[label="vuu3000",fontsize=16,color="green",shape="box"];477[label="vuu31000",fontsize=16,color="green",shape="box"];478[label="vuu3000",fontsize=16,color="green",shape="box"];479[label="vuu31000",fontsize=16,color="green",shape="box"];480[label="span2Ys0 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488[label="vuu3001",fontsize=16,color="green",shape="box"];489[label="vuu31000",fontsize=16,color="green",shape="box"];490[label="vuu3000",fontsize=16,color="green",shape="box"];491[label="vuu31000",fontsize=16,color="green",shape="box"];492[label="vuu3000",fontsize=16,color="green",shape="box"];493[label="vuu31000",fontsize=16,color="green",shape="box"];494[label="vuu3000",fontsize=16,color="green",shape="box"];495[label="vuu31000",fontsize=16,color="green",shape="box"];496[label="vuu3000",fontsize=16,color="green",shape="box"];497[label="vuu31000",fontsize=16,color="green",shape="box"];498[label="vuu3000",fontsize=16,color="green",shape="box"];499[label="vuu31000",fontsize=16,color="green",shape="box"];500[label="vuu3000",fontsize=16,color="green",shape="box"];501[label="vuu31000",fontsize=16,color="green",shape="box"];502[label="vuu3000",fontsize=16,color="green",shape="box"];503[label="vuu31000",fontsize=16,color="green",shape="box"];504[label="vuu3000",fontsize=16,color="green",shape="box"];505[label="vuu31000",fontsize=16,color="green",shape="box"];506[label="vuu3000",fontsize=16,color="green",shape="box"];507[label="vuu31000",fontsize=16,color="green",shape="box"];508[label="vuu3000",fontsize=16,color="green",shape="box"];509[label="vuu31000",fontsize=16,color="green",shape="box"];510[label="vuu3000",fontsize=16,color="green",shape="box"];511[label="vuu31000",fontsize=16,color="green",shape="box"];512[label="vuu3000",fontsize=16,color="green",shape="box"];513[label="vuu31000",fontsize=16,color="green",shape="box"];514[label="vuu3000",fontsize=16,color="green",shape="box"];515[label="vuu31000",fontsize=16,color="green",shape="box"];516[label="vuu3000",fontsize=16,color="green",shape="box"];517[label="vuu31000",fontsize=16,color="green",shape="box"];518[label="False",fontsize=16,color="green",shape="box"];519[label="vuu27",fontsize=16,color="green",shape="box"];520[label="vuu3000",fontsize=16,color="green",shape="box"];521[label="vuu31000",fontsize=16,color="green",shape="box"];522[label="vuu3000",fontsize=16,color="green",shape="box"];523[label="vuu31000",fontsize=16,color="green",shape="box"];524[label="vuu3000",fontsize=16,color="green",shape="box"];525[label="vuu31000",fontsize=16,color="green",shape="box"];526[label="vuu3000",fontsize=16,color="green",shape="box"];527[label="vuu31000",fontsize=16,color="green",shape="box"];528[label="vuu3000",fontsize=16,color="green",shape="box"];529[label="vuu31000",fontsize=16,color="green",shape="box"];530[label="vuu3000",fontsize=16,color="green",shape="box"];531[label="vuu31000",fontsize=16,color="green",shape="box"];532[label="vuu3000",fontsize=16,color="green",shape="box"];533[label="vuu31000",fontsize=16,color="green",shape="box"];534[label="vuu3000",fontsize=16,color="green",shape="box"];535[label="vuu31000",fontsize=16,color="green",shape="box"];536[label="vuu3000",fontsize=16,color="green",shape="box"];537[label="vuu31000",fontsize=16,color="green",shape="box"];538[label="vuu3000",fontsize=16,color="green",shape="box"];539[label="vuu31000",fontsize=16,color="green",shape="box"];540[label="vuu3000",fontsize=16,color="green",shape="box"];541[label="vuu31000",fontsize=16,color="green",shape="box"];542[label="vuu3000",fontsize=16,color="green",shape="box"];543[label="vuu31000",fontsize=16,color="green",shape="box"];544[label="vuu3000",fontsize=16,color="green",shape="box"];545[label="vuu31000",fontsize=16,color="green",shape="box"];546[label="vuu3000",fontsize=16,color="green",shape="box"];547[label="vuu31000",fontsize=16,color="green",shape="box"];548 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67[label="",style="dashed", color="red", weight=0]; 568[label="vuu3002 == vuu31002",fontsize=16,color="magenta"];568 -> 711[label="",style="dashed", color="magenta", weight=3]; 568 -> 712[label="",style="dashed", color="magenta", weight=3]; 569 -> 68[label="",style="dashed", color="red", weight=0]; 569[label="vuu3002 == vuu31002",fontsize=16,color="magenta"];569 -> 713[label="",style="dashed", color="magenta", weight=3]; 569 -> 714[label="",style="dashed", color="magenta", weight=3]; 570 -> 69[label="",style="dashed", color="red", weight=0]; 570[label="vuu3002 == vuu31002",fontsize=16,color="magenta"];570 -> 715[label="",style="dashed", color="magenta", weight=3]; 570 -> 716[label="",style="dashed", color="magenta", weight=3]; 571 -> 70[label="",style="dashed", color="red", weight=0]; 571[label="vuu3002 == vuu31002",fontsize=16,color="magenta"];571 -> 717[label="",style="dashed", color="magenta", weight=3]; 571 -> 718[label="",style="dashed", color="magenta", weight=3]; 572 -> 71[label="",style="dashed", color="red", weight=0]; 572[label="vuu3002 == vuu31002",fontsize=16,color="magenta"];572 -> 719[label="",style="dashed", color="magenta", weight=3]; 572 -> 720[label="",style="dashed", color="magenta", weight=3]; 573 -> 72[label="",style="dashed", color="red", weight=0]; 573[label="vuu3002 == vuu31002",fontsize=16,color="magenta"];573 -> 721[label="",style="dashed", color="magenta", weight=3]; 573 -> 722[label="",style="dashed", color="magenta", weight=3]; 574 -> 73[label="",style="dashed", color="red", weight=0]; 574[label="vuu3002 == vuu31002",fontsize=16,color="magenta"];574 -> 723[label="",style="dashed", color="magenta", weight=3]; 574 -> 724[label="",style="dashed", color="magenta", weight=3]; 575 -> 74[label="",style="dashed", color="red", weight=0]; 575[label="vuu3002 == vuu31002",fontsize=16,color="magenta"];575 -> 725[label="",style="dashed", color="magenta", weight=3]; 575 -> 726[label="",style="dashed", color="magenta", weight=3]; 576[label="vuu3000",fontsize=16,color="green",shape="box"];577[label="vuu31001",fontsize=16,color="green",shape="box"];578[label="vuu3001",fontsize=16,color="green",shape="box"];579[label="vuu31000",fontsize=16,color="green",shape="box"];580[label="vuu3000",fontsize=16,color="green",shape="box"];581[label="vuu31000",fontsize=16,color="green",shape="box"];582[label="vuu3000",fontsize=16,color="green",shape="box"];583[label="vuu31000",fontsize=16,color="green",shape="box"];584[label="vuu3001",fontsize=16,color="green",shape="box"];585[label="vuu31001",fontsize=16,color="green",shape="box"];586[label="vuu3001",fontsize=16,color="green",shape="box"];587[label="vuu31001",fontsize=16,color="green",shape="box"];588 -> 272[label="",style="dashed", color="red", weight=0]; 588[label="primEqNat vuu30000 vuu310000",fontsize=16,color="magenta"];588 -> 727[label="",style="dashed", color="magenta", weight=3]; 588 -> 728[label="",style="dashed", color="magenta", weight=3]; 589[label="False",fontsize=16,color="green",shape="box"];590[label="False",fontsize=16,color="green",shape="box"];591[label="True",fontsize=16,color="green",shape="box"];592[label="False",fontsize=16,color="green",shape="box"];593[label="True",fontsize=16,color="green",shape="box"];594 -> 272[label="",style="dashed", color="red", weight=0]; 594[label="primEqNat vuu30000 vuu310000",fontsize=16,color="magenta"];594 -> 729[label="",style="dashed", color="magenta", weight=3]; 594 -> 730[label="",style="dashed", color="magenta", weight=3]; 595[label="False",fontsize=16,color="green",shape="box"];596[label="False",fontsize=16,color="green",shape="box"];597[label="True",fontsize=16,color="green",shape="box"];598[label="False",fontsize=16,color="green",shape="box"];599[label="True",fontsize=16,color="green",shape="box"];600[label="primEqNat (Succ vuu30000) (Succ vuu310000)",fontsize=16,color="black",shape="box"];600 -> 731[label="",style="solid", color="black", weight=3]; 601[label="primEqNat (Succ vuu30000) Zero",fontsize=16,color="black",shape="box"];601 -> 732[label="",style="solid", color="black", weight=3]; 602[label="primEqNat Zero (Succ vuu310000)",fontsize=16,color="black",shape="box"];602 -> 733[label="",style="solid", color="black", weight=3]; 603[label="primEqNat Zero Zero",fontsize=16,color="black",shape="box"];603 -> 734[label="",style="solid", color="black", weight=3]; 604[label="vuu3000",fontsize=16,color="green",shape="box"];605[label="vuu31000",fontsize=16,color="green",shape="box"];606[label="vuu3000",fontsize=16,color="green",shape="box"];607[label="vuu31000",fontsize=16,color="green",shape="box"];608[label="vuu3000",fontsize=16,color="green",shape="box"];609[label="vuu31000",fontsize=16,color="green",shape="box"];610[label="vuu3000",fontsize=16,color="green",shape="box"];611[label="vuu31000",fontsize=16,color="green",shape="box"];612[label="vuu3000",fontsize=16,color="green",shape="box"];613[label="vuu31000",fontsize=16,color="green",shape="box"];614[label="vuu3000",fontsize=16,color="green",shape="box"];615[label="vuu31000",fontsize=16,color="green",shape="box"];616[label="vuu3000",fontsize=16,color="green",shape="box"];617[label="vuu31000",fontsize=16,color="green",shape="box"];618[label="vuu3000",fontsize=16,color="green",shape="box"];619[label="vuu31000",fontsize=16,color="green",shape="box"];620[label="vuu3000",fontsize=16,color="green",shape="box"];621[label="vuu31000",fontsize=16,color="green",shape="box"];622[label="vuu3000",fontsize=16,color="green",shape="box"];623[label="vuu31000",fontsize=16,color="green",shape="box"];624[label="vuu3000",fontsize=16,color="green",shape="box"];625[label="vuu31000",fontsize=16,color="green",shape="box"];626[label="vuu3000",fontsize=16,color="green",shape="box"];627[label="vuu31000",fontsize=16,color="green",shape="box"];628[label="vuu3000",fontsize=16,color="green",shape="box"];629[label="vuu31000",fontsize=16,color="green",shape="box"];630[label="vuu3000",fontsize=16,color="green",shape="box"];631[label="vuu31000",fontsize=16,color="green",shape="box"];632[label="vuu3001",fontsize=16,color="green",shape="box"];633[label="vuu31001",fontsize=16,color="green",shape="box"];634[label="vuu3001",fontsize=16,color="green",shape="box"];635[label="vuu31001",fontsize=16,color="green",shape="box"];636[label="vuu3001",fontsize=16,color="green",shape="box"];637[label="vuu31001",fontsize=16,color="green",shape="box"];638[label="vuu3001",fontsize=16,color="green",shape="box"];639[label="vuu31001",fontsize=16,color="green",shape="box"];640[label="vuu3001",fontsize=16,color="green",shape="box"];641[label="vuu31001",fontsize=16,color="green",shape="box"];642[label="vuu3001",fontsize=16,color="green",shape="box"];643[label="vuu31001",fontsize=16,color="green",shape="box"];644[label="vuu3001",fontsize=16,color="green",shape="box"];645[label="vuu31001",fontsize=16,color="green",shape="box"];646[label="vuu3001",fontsize=16,color="green",shape="box"];647[label="vuu31001",fontsize=16,color="green",shape="box"];648[label="vuu3001",fontsize=16,color="green",shape="box"];649[label="vuu31001",fontsize=16,color="green",shape="box"];650[label="vuu3001",fontsize=16,color="green",shape="box"];651[label="vuu31001",fontsize=16,color="green",shape="box"];652[label="vuu3001",fontsize=16,color="green",shape="box"];653[label="vuu31001",fontsize=16,color="green",shape="box"];654[label="vuu3001",fontsize=16,color="green",shape="box"];655[label="vuu31001",fontsize=16,color="green",shape="box"];656[label="vuu3001",fontsize=16,color="green",shape="box"];657[label="vuu31001",fontsize=16,color="green",shape="box"];658[label="vuu3001",fontsize=16,color="green",shape="box"];659[label="vuu31001",fontsize=16,color="green",shape="box"];660[label="span2Ys0 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665[label="span2Zs0 ((==) Just vuu18) [] (span ((==) Just vuu18) [])",fontsize=16,color="black",shape="box"];665 -> 741[label="",style="solid", color="black", weight=3]; 667 -> 74[label="",style="dashed", color="red", weight=0]; 667[label="(==) Nothing vuu3110",fontsize=16,color="magenta"];667 -> 742[label="",style="dashed", color="magenta", weight=3]; 667 -> 743[label="",style="dashed", color="magenta", weight=3]; 666[label="span2Ys0 ((==) Nothing) (vuu3110 : vuu3111) (span2Span1 ((==) Nothing) vuu3111 ((==) Nothing) vuu3110 vuu3111 vuu28)",fontsize=16,color="burlywood",shape="triangle"];1140[label="vuu28/False",fontsize=10,color="white",style="solid",shape="box"];666 -> 1140[label="",style="solid", color="burlywood", weight=9]; 1140 -> 744[label="",style="solid", color="burlywood", weight=3]; 1141[label="vuu28/True",fontsize=10,color="white",style="solid",shape="box"];666 -> 1141[label="",style="solid", color="burlywood", weight=9]; 1141 -> 745[label="",style="solid", color="burlywood", weight=3]; 668[label="[]",fontsize=16,color="green",shape="box"];669[label="primMulInt (Pos vuu30000) vuu31001",fontsize=16,color="burlywood",shape="box"];1142[label="vuu31001/Pos vuu310010",fontsize=10,color="white",style="solid",shape="box"];669 -> 1142[label="",style="solid", color="burlywood", weight=9]; 1142 -> 746[label="",style="solid", color="burlywood", weight=3]; 1143[label="vuu31001/Neg vuu310010",fontsize=10,color="white",style="solid",shape="box"];669 -> 1143[label="",style="solid", color="burlywood", weight=9]; 1143 -> 747[label="",style="solid", color="burlywood", weight=3]; 670[label="primMulInt (Neg vuu30000) vuu31001",fontsize=16,color="burlywood",shape="box"];1144[label="vuu31001/Pos vuu310010",fontsize=10,color="white",style="solid",shape="box"];670 -> 1144[label="",style="solid", color="burlywood", weight=9]; 1144 -> 748[label="",style="solid", color="burlywood", weight=3]; 1145[label="vuu31001/Neg vuu310010",fontsize=10,color="white",style="solid",shape="box"];670 -> 1145[label="",style="solid", color="burlywood", weight=9]; 1145 -> 749[label="",style="solid", color="burlywood", weight=3]; 671[label="vuu3001",fontsize=16,color="green",shape="box"];672[label="vuu31001",fontsize=16,color="green",shape="box"];673[label="vuu3001",fontsize=16,color="green",shape="box"];674[label="vuu31001",fontsize=16,color="green",shape="box"];675[label="vuu3001",fontsize=16,color="green",shape="box"];676[label="vuu31001",fontsize=16,color="green",shape="box"];677[label="vuu3001",fontsize=16,color="green",shape="box"];678[label="vuu31001",fontsize=16,color="green",shape="box"];679[label="vuu3001",fontsize=16,color="green",shape="box"];680[label="vuu31001",fontsize=16,color="green",shape="box"];681[label="vuu3001",fontsize=16,color="green",shape="box"];682[label="vuu31001",fontsize=16,color="green",shape="box"];683[label="vuu3001",fontsize=16,color="green",shape="box"];684[label="vuu31001",fontsize=16,color="green",shape="box"];685[label="vuu3001",fontsize=16,color="green",shape="box"];686[label="vuu31001",fontsize=16,color="green",shape="box"];687[label="vuu3001",fontsize=16,color="green",shape="box"];688[label="vuu31001",fontsize=16,color="green",shape="box"];689[label="vuu3001",fontsize=16,color="green",shape="box"];690[label="vuu31001",fontsize=16,color="green",shape="box"];691[label="vuu3001",fontsize=16,color="green",shape="box"];692[label="vuu31001",fontsize=16,color="green",shape="box"];693[label="vuu3001",fontsize=16,color="green",shape="box"];694[label="vuu31001",fontsize=16,color="green",shape="box"];695[label="vuu3001",fontsize=16,color="green",shape="box"];696[label="vuu31001",fontsize=16,color="green",shape="box"];697[label="vuu3001",fontsize=16,color="green",shape="box"];698[label="vuu31001",fontsize=16,color="green",shape="box"];699[label="vuu3002",fontsize=16,color="green",shape="box"];700[label="vuu31002",fontsize=16,color="green",shape="box"];701[label="vuu3002",fontsize=16,color="green",shape="box"];702[label="vuu31002",fontsize=16,color="green",shape="box"];703[label="vuu3002",fontsize=16,color="green",shape="box"];704[label="vuu31002",fontsize=16,color="green",shape="box"];705[label="vuu3002",fontsize=16,color="green",shape="box"];706[label="vuu31002",fontsize=16,color="green",shape="box"];707[label="vuu3002",fontsize=16,color="green",shape="box"];708[label="vuu31002",fontsize=16,color="green",shape="box"];709[label="vuu3002",fontsize=16,color="green",shape="box"];710[label="vuu31002",fontsize=16,color="green",shape="box"];711[label="vuu3002",fontsize=16,color="green",shape="box"];712[label="vuu31002",fontsize=16,color="green",shape="box"];713[label="vuu3002",fontsize=16,color="green",shape="box"];714[label="vuu31002",fontsize=16,color="green",shape="box"];715[label="vuu3002",fontsize=16,color="green",shape="box"];716[label="vuu31002",fontsize=16,color="green",shape="box"];717[label="vuu3002",fontsize=16,color="green",shape="box"];718[label="vuu31002",fontsize=16,color="green",shape="box"];719[label="vuu3002",fontsize=16,color="green",shape="box"];720[label="vuu31002",fontsize=16,color="green",shape="box"];721[label="vuu3002",fontsize=16,color="green",shape="box"];722[label="vuu31002",fontsize=16,color="green",shape="box"];723[label="vuu3002",fontsize=16,color="green",shape="box"];724[label="vuu31002",fontsize=16,color="green",shape="box"];725[label="vuu3002",fontsize=16,color="green",shape="box"];726[label="vuu31002",fontsize=16,color="green",shape="box"];727[label="vuu30000",fontsize=16,color="green",shape="box"];728[label="vuu310000",fontsize=16,color="green",shape="box"];729[label="vuu30000",fontsize=16,color="green",shape="box"];730[label="vuu310000",fontsize=16,color="green",shape="box"];731 -> 272[label="",style="dashed", color="red", weight=0]; 731[label="primEqNat vuu30000 vuu310000",fontsize=16,color="magenta"];731 -> 750[label="",style="dashed", color="magenta", weight=3]; 731 -> 751[label="",style="dashed", color="magenta", weight=3]; 732[label="False",fontsize=16,color="green",shape="box"];733[label="False",fontsize=16,color="green",shape="box"];734[label="True",fontsize=16,color="green",shape="box"];735[label="span2Ys0 ((==) Just vuu9) (vuu110 : vuu111) (span2 ((==) Just vuu9) (vuu110 : vuu111))",fontsize=16,color="black",shape="box"];735 -> 752[label="",style="solid", color="black", weight=3]; 736[label="span2Ys0 ((==) Just vuu9) [] (span3 ((==) Just vuu9) [])",fontsize=16,color="black",shape="box"];736 -> 753[label="",style="solid", color="black", weight=3]; 738 -> 74[label="",style="dashed", color="red", weight=0]; 738[label="(==) Nothing vuu3110",fontsize=16,color="magenta"];738 -> 754[label="",style="dashed", color="magenta", weight=3]; 738 -> 755[label="",style="dashed", color="magenta", weight=3]; 737[label="span2Zs0 ((==) Nothing) (vuu3110 : vuu3111) (span2Span1 ((==) Nothing) vuu3111 ((==) Nothing) vuu3110 vuu3111 vuu29)",fontsize=16,color="burlywood",shape="triangle"];1146[label="vuu29/False",fontsize=10,color="white",style="solid",shape="box"];737 -> 1146[label="",style="solid", color="burlywood", weight=9]; 1146 -> 756[label="",style="solid", color="burlywood", weight=3]; 1147[label="vuu29/True",fontsize=10,color="white",style="solid",shape="box"];737 -> 1147[label="",style="solid", color="burlywood", weight=9]; 1147 -> 757[label="",style="solid", color="burlywood", weight=3]; 739[label="[]",fontsize=16,color="green",shape="box"];740[label="span2Zs0 ((==) Just vuu18) (vuu200 : vuu201) (span2 ((==) Just vuu18) (vuu200 : vuu201))",fontsize=16,color="black",shape="box"];740 -> 758[label="",style="solid", color="black", weight=3]; 741[label="span2Zs0 ((==) Just vuu18) [] (span3 ((==) Just vuu18) [])",fontsize=16,color="black",shape="box"];741 -> 759[label="",style="solid", color="black", weight=3]; 742[label="Nothing",fontsize=16,color="green",shape="box"];743[label="vuu3110",fontsize=16,color="green",shape="box"];744[label="span2Ys0 ((==) Nothing) (vuu3110 : vuu3111) (span2Span1 ((==) Nothing) vuu3111 ((==) Nothing) vuu3110 vuu3111 False)",fontsize=16,color="black",shape="box"];744 -> 760[label="",style="solid", color="black", weight=3]; 745[label="span2Ys0 ((==) Nothing) (vuu3110 : vuu3111) (span2Span1 ((==) Nothing) vuu3111 ((==) Nothing) vuu3110 vuu3111 True)",fontsize=16,color="black",shape="box"];745 -> 761[label="",style="solid", color="black", weight=3]; 746[label="primMulInt (Pos vuu30000) (Pos vuu310010)",fontsize=16,color="black",shape="box"];746 -> 762[label="",style="solid", color="black", weight=3]; 747[label="primMulInt (Pos vuu30000) (Neg vuu310010)",fontsize=16,color="black",shape="box"];747 -> 763[label="",style="solid", color="black", weight=3]; 748[label="primMulInt (Neg vuu30000) (Pos vuu310010)",fontsize=16,color="black",shape="box"];748 -> 764[label="",style="solid", color="black", weight=3]; 749[label="primMulInt (Neg vuu30000) (Neg vuu310010)",fontsize=16,color="black",shape="box"];749 -> 765[label="",style="solid", color="black", weight=3]; 750[label="vuu30000",fontsize=16,color="green",shape="box"];751[label="vuu310000",fontsize=16,color="green",shape="box"];752 -> 766[label="",style="dashed", color="red", weight=0]; 752[label="span2Ys0 ((==) Just vuu9) (vuu110 : vuu111) (span2Span1 ((==) Just vuu9) vuu111 ((==) Just vuu9) vuu110 vuu111 ((==) Just vuu9 vuu110))",fontsize=16,color="magenta"];752 -> 767[label="",style="dashed", color="magenta", weight=3]; 753[label="span2Ys0 ((==) Just vuu9) [] ([],[])",fontsize=16,color="black",shape="box"];753 -> 768[label="",style="solid", color="black", weight=3]; 754[label="Nothing",fontsize=16,color="green",shape="box"];755[label="vuu3110",fontsize=16,color="green",shape="box"];756[label="span2Zs0 ((==) Nothing) (vuu3110 : vuu3111) (span2Span1 ((==) Nothing) vuu3111 ((==) Nothing) vuu3110 vuu3111 False)",fontsize=16,color="black",shape="box"];756 -> 769[label="",style="solid", color="black", weight=3]; 757[label="span2Zs0 ((==) Nothing) (vuu3110 : vuu3111) (span2Span1 ((==) Nothing) vuu3111 ((==) Nothing) vuu3110 vuu3111 True)",fontsize=16,color="black",shape="box"];757 -> 770[label="",style="solid", color="black", weight=3]; 758 -> 771[label="",style="dashed", color="red", weight=0]; 758[label="span2Zs0 ((==) Just vuu18) (vuu200 : vuu201) (span2Span1 ((==) Just vuu18) vuu201 ((==) Just vuu18) vuu200 vuu201 ((==) Just vuu18 vuu200))",fontsize=16,color="magenta"];758 -> 772[label="",style="dashed", color="magenta", weight=3]; 759[label="span2Zs0 ((==) Just vuu18) [] ([],[])",fontsize=16,color="black",shape="box"];759 -> 773[label="",style="solid", color="black", weight=3]; 760[label="span2Ys0 ((==) Nothing) (vuu3110 : vuu3111) (span2Span0 ((==) Nothing) vuu3111 ((==) Nothing) vuu3110 vuu3111 otherwise)",fontsize=16,color="black",shape="box"];760 -> 774[label="",style="solid", color="black", weight=3]; 761 -> 775[label="",style="dashed", color="red", weight=0]; 761[label="span2Ys0 ((==) Nothing) (vuu3110 : vuu3111) (vuu3110 : span2Ys ((==) Nothing) vuu3111,span2Zs ((==) Nothing) vuu3111)",fontsize=16,color="magenta"];761 -> 776[label="",style="dashed", color="magenta", weight=3]; 761 -> 777[label="",style="dashed", color="magenta", weight=3]; 762[label="Pos (primMulNat vuu30000 vuu310010)",fontsize=16,color="green",shape="box"];762 -> 778[label="",style="dashed", color="green", weight=3]; 763[label="Neg (primMulNat vuu30000 vuu310010)",fontsize=16,color="green",shape="box"];763 -> 779[label="",style="dashed", color="green", weight=3]; 764[label="Neg (primMulNat vuu30000 vuu310010)",fontsize=16,color="green",shape="box"];764 -> 780[label="",style="dashed", color="green", weight=3]; 765[label="Pos (primMulNat vuu30000 vuu310010)",fontsize=16,color="green",shape="box"];765 -> 781[label="",style="dashed", color="green", weight=3]; 767 -> 74[label="",style="dashed", color="red", weight=0]; 767[label="(==) Just vuu9 vuu110",fontsize=16,color="magenta"];767 -> 782[label="",style="dashed", color="magenta", weight=3]; 767 -> 783[label="",style="dashed", color="magenta", weight=3]; 766[label="span2Ys0 ((==) Just vuu9) (vuu110 : vuu111) (span2Span1 ((==) Just vuu9) vuu111 ((==) Just vuu9) vuu110 vuu111 vuu30)",fontsize=16,color="burlywood",shape="triangle"];1148[label="vuu30/False",fontsize=10,color="white",style="solid",shape="box"];766 -> 1148[label="",style="solid", color="burlywood", weight=9]; 1148 -> 784[label="",style="solid", color="burlywood", weight=3]; 1149[label="vuu30/True",fontsize=10,color="white",style="solid",shape="box"];766 -> 1149[label="",style="solid", color="burlywood", weight=9]; 1149 -> 785[label="",style="solid", color="burlywood", weight=3]; 768[label="[]",fontsize=16,color="green",shape="box"];769[label="span2Zs0 ((==) Nothing) (vuu3110 : vuu3111) (span2Span0 ((==) Nothing) vuu3111 ((==) Nothing) vuu3110 vuu3111 otherwise)",fontsize=16,color="black",shape="box"];769 -> 786[label="",style="solid", color="black", weight=3]; 770 -> 787[label="",style="dashed", color="red", weight=0]; 770[label="span2Zs0 ((==) Nothing) (vuu3110 : vuu3111) (vuu3110 : span2Ys ((==) Nothing) vuu3111,span2Zs ((==) Nothing) vuu3111)",fontsize=16,color="magenta"];770 -> 788[label="",style="dashed", color="magenta", weight=3]; 770 -> 789[label="",style="dashed", color="magenta", weight=3]; 772 -> 74[label="",style="dashed", color="red", weight=0]; 772[label="(==) Just vuu18 vuu200",fontsize=16,color="magenta"];772 -> 790[label="",style="dashed", color="magenta", weight=3]; 772 -> 791[label="",style="dashed", color="magenta", weight=3]; 771[label="span2Zs0 ((==) Just vuu18) (vuu200 : vuu201) (span2Span1 ((==) Just vuu18) vuu201 ((==) Just vuu18) vuu200 vuu201 vuu31)",fontsize=16,color="burlywood",shape="triangle"];1150[label="vuu31/False",fontsize=10,color="white",style="solid",shape="box"];771 -> 1150[label="",style="solid", color="burlywood", weight=9]; 1150 -> 792[label="",style="solid", color="burlywood", weight=3]; 1151[label="vuu31/True",fontsize=10,color="white",style="solid",shape="box"];771 -> 1151[label="",style="solid", color="burlywood", weight=9]; 1151 -> 793[label="",style="solid", color="burlywood", weight=3]; 773[label="[]",fontsize=16,color="green",shape="box"];774[label="span2Ys0 ((==) Nothing) (vuu3110 : vuu3111) (span2Span0 ((==) Nothing) vuu3111 ((==) Nothing) vuu3110 vuu3111 True)",fontsize=16,color="black",shape="box"];774 -> 794[label="",style="solid", color="black", weight=3]; 776 -> 110[label="",style="dashed", color="red", weight=0]; 776[label="span2Zs ((==) Nothing) vuu3111",fontsize=16,color="magenta"];776 -> 795[label="",style="dashed", color="magenta", weight=3]; 777 -> 85[label="",style="dashed", color="red", weight=0]; 777[label="span2Ys ((==) Nothing) vuu3111",fontsize=16,color="magenta"];777 -> 796[label="",style="dashed", color="magenta", weight=3]; 775[label="span2Ys0 ((==) Nothing) (vuu3110 : vuu3111) (vuu3110 : vuu33,vuu32)",fontsize=16,color="black",shape="triangle"];775 -> 797[label="",style="solid", color="black", weight=3]; 778[label="primMulNat vuu30000 vuu310010",fontsize=16,color="burlywood",shape="triangle"];1152[label="vuu30000/Succ vuu300000",fontsize=10,color="white",style="solid",shape="box"];778 -> 1152[label="",style="solid", color="burlywood", weight=9]; 1152 -> 798[label="",style="solid", color="burlywood", weight=3]; 1153[label="vuu30000/Zero",fontsize=10,color="white",style="solid",shape="box"];778 -> 1153[label="",style="solid", color="burlywood", weight=9]; 1153 -> 799[label="",style="solid", color="burlywood", weight=3]; 779 -> 778[label="",style="dashed", color="red", weight=0]; 779[label="primMulNat vuu30000 vuu310010",fontsize=16,color="magenta"];779 -> 800[label="",style="dashed", color="magenta", weight=3]; 780 -> 778[label="",style="dashed", color="red", weight=0]; 780[label="primMulNat vuu30000 vuu310010",fontsize=16,color="magenta"];780 -> 801[label="",style="dashed", color="magenta", weight=3]; 781 -> 778[label="",style="dashed", color="red", weight=0]; 781[label="primMulNat vuu30000 vuu310010",fontsize=16,color="magenta"];781 -> 802[label="",style="dashed", color="magenta", weight=3]; 781 -> 803[label="",style="dashed", color="magenta", weight=3]; 782[label="Just vuu9",fontsize=16,color="green",shape="box"];783[label="vuu110",fontsize=16,color="green",shape="box"];784[label="span2Ys0 ((==) Just vuu9) (vuu110 : vuu111) (span2Span1 ((==) Just vuu9) vuu111 ((==) Just vuu9) vuu110 vuu111 False)",fontsize=16,color="black",shape="box"];784 -> 804[label="",style="solid", color="black", weight=3]; 785[label="span2Ys0 ((==) Just vuu9) (vuu110 : vuu111) (span2Span1 ((==) Just vuu9) vuu111 ((==) Just vuu9) vuu110 vuu111 True)",fontsize=16,color="black",shape="box"];785 -> 805[label="",style="solid", color="black", weight=3]; 786[label="span2Zs0 ((==) Nothing) (vuu3110 : vuu3111) (span2Span0 ((==) Nothing) vuu3111 ((==) Nothing) vuu3110 vuu3111 True)",fontsize=16,color="black",shape="box"];786 -> 806[label="",style="solid", color="black", weight=3]; 788 -> 85[label="",style="dashed", color="red", weight=0]; 788[label="span2Ys ((==) Nothing) vuu3111",fontsize=16,color="magenta"];788 -> 807[label="",style="dashed", color="magenta", weight=3]; 789 -> 110[label="",style="dashed", color="red", weight=0]; 789[label="span2Zs ((==) Nothing) vuu3111",fontsize=16,color="magenta"];789 -> 808[label="",style="dashed", color="magenta", weight=3]; 787[label="span2Zs0 ((==) Nothing) (vuu3110 : vuu3111) (vuu3110 : vuu35,vuu34)",fontsize=16,color="black",shape="triangle"];787 -> 809[label="",style="solid", color="black", weight=3]; 790[label="Just vuu18",fontsize=16,color="green",shape="box"];791[label="vuu200",fontsize=16,color="green",shape="box"];792[label="span2Zs0 ((==) Just vuu18) (vuu200 : vuu201) (span2Span1 ((==) Just vuu18) vuu201 ((==) Just vuu18) vuu200 vuu201 False)",fontsize=16,color="black",shape="box"];792 -> 810[label="",style="solid", color="black", weight=3]; 793[label="span2Zs0 ((==) Just vuu18) (vuu200 : vuu201) (span2Span1 ((==) Just vuu18) vuu201 ((==) Just vuu18) vuu200 vuu201 True)",fontsize=16,color="black",shape="box"];793 -> 811[label="",style="solid", color="black", weight=3]; 794[label="span2Ys0 ((==) Nothing) (vuu3110 : vuu3111) ([],vuu3110 : vuu3111)",fontsize=16,color="black",shape="box"];794 -> 812[label="",style="solid", color="black", weight=3]; 795[label="vuu3111",fontsize=16,color="green",shape="box"];796[label="vuu3111",fontsize=16,color="green",shape="box"];797[label="vuu3110 : vuu33",fontsize=16,color="green",shape="box"];798[label="primMulNat (Succ vuu300000) vuu310010",fontsize=16,color="burlywood",shape="box"];1154[label="vuu310010/Succ vuu3100100",fontsize=10,color="white",style="solid",shape="box"];798 -> 1154[label="",style="solid", color="burlywood", weight=9]; 1154 -> 813[label="",style="solid", color="burlywood", weight=3]; 1155[label="vuu310010/Zero",fontsize=10,color="white",style="solid",shape="box"];798 -> 1155[label="",style="solid", color="burlywood", weight=9]; 1155 -> 814[label="",style="solid", color="burlywood", weight=3]; 799[label="primMulNat Zero vuu310010",fontsize=16,color="burlywood",shape="box"];1156[label="vuu310010/Succ vuu3100100",fontsize=10,color="white",style="solid",shape="box"];799 -> 1156[label="",style="solid", color="burlywood", weight=9]; 1156 -> 815[label="",style="solid", color="burlywood", weight=3]; 1157[label="vuu310010/Zero",fontsize=10,color="white",style="solid",shape="box"];799 -> 1157[label="",style="solid", color="burlywood", weight=9]; 1157 -> 816[label="",style="solid", color="burlywood", weight=3]; 800[label="vuu310010",fontsize=16,color="green",shape="box"];801[label="vuu30000",fontsize=16,color="green",shape="box"];802[label="vuu310010",fontsize=16,color="green",shape="box"];803[label="vuu30000",fontsize=16,color="green",shape="box"];804[label="span2Ys0 ((==) Just vuu9) (vuu110 : vuu111) (span2Span0 ((==) Just vuu9) vuu111 ((==) Just vuu9) vuu110 vuu111 otherwise)",fontsize=16,color="black",shape="box"];804 -> 817[label="",style="solid", color="black", weight=3]; 805 -> 818[label="",style="dashed", color="red", weight=0]; 805[label="span2Ys0 ((==) Just vuu9) (vuu110 : vuu111) (vuu110 : span2Ys ((==) Just vuu9) vuu111,span2Zs ((==) Just vuu9) vuu111)",fontsize=16,color="magenta"];805 -> 819[label="",style="dashed", color="magenta", weight=3]; 805 -> 820[label="",style="dashed", color="magenta", weight=3]; 806[label="span2Zs0 ((==) Nothing) (vuu3110 : vuu3111) ([],vuu3110 : vuu3111)",fontsize=16,color="black",shape="box"];806 -> 821[label="",style="solid", color="black", weight=3]; 807[label="vuu3111",fontsize=16,color="green",shape="box"];808[label="vuu3111",fontsize=16,color="green",shape="box"];809[label="vuu34",fontsize=16,color="green",shape="box"];810[label="span2Zs0 ((==) Just vuu18) (vuu200 : vuu201) (span2Span0 ((==) Just vuu18) vuu201 ((==) Just vuu18) vuu200 vuu201 otherwise)",fontsize=16,color="black",shape="box"];810 -> 822[label="",style="solid", color="black", weight=3]; 811 -> 823[label="",style="dashed", color="red", weight=0]; 811[label="span2Zs0 ((==) Just vuu18) (vuu200 : vuu201) (vuu200 : span2Ys ((==) Just vuu18) vuu201,span2Zs ((==) Just vuu18) vuu201)",fontsize=16,color="magenta"];811 -> 824[label="",style="dashed", color="magenta", weight=3]; 811 -> 825[label="",style="dashed", color="magenta", weight=3]; 812[label="[]",fontsize=16,color="green",shape="box"];813[label="primMulNat (Succ vuu300000) (Succ vuu3100100)",fontsize=16,color="black",shape="box"];813 -> 826[label="",style="solid", color="black", weight=3]; 814[label="primMulNat (Succ vuu300000) Zero",fontsize=16,color="black",shape="box"];814 -> 827[label="",style="solid", color="black", weight=3]; 815[label="primMulNat Zero (Succ vuu3100100)",fontsize=16,color="black",shape="box"];815 -> 828[label="",style="solid", color="black", weight=3]; 816[label="primMulNat Zero Zero",fontsize=16,color="black",shape="box"];816 -> 829[label="",style="solid", color="black", weight=3]; 817[label="span2Ys0 ((==) Just vuu9) (vuu110 : vuu111) (span2Span0 ((==) Just vuu9) vuu111 ((==) Just vuu9) vuu110 vuu111 True)",fontsize=16,color="black",shape="box"];817 -> 830[label="",style="solid", color="black", weight=3]; 819 -> 218[label="",style="dashed", color="red", weight=0]; 819[label="span2Zs ((==) Just vuu9) vuu111",fontsize=16,color="magenta"];819 -> 831[label="",style="dashed", color="magenta", weight=3]; 819 -> 832[label="",style="dashed", color="magenta", weight=3]; 820 -> 213[label="",style="dashed", color="red", weight=0]; 820[label="span2Ys ((==) Just vuu9) vuu111",fontsize=16,color="magenta"];820 -> 833[label="",style="dashed", color="magenta", weight=3]; 818[label="span2Ys0 ((==) Just vuu9) (vuu110 : vuu111) (vuu110 : vuu37,vuu36)",fontsize=16,color="black",shape="triangle"];818 -> 834[label="",style="solid", color="black", weight=3]; 821[label="vuu3110 : vuu3111",fontsize=16,color="green",shape="box"];822[label="span2Zs0 ((==) Just vuu18) (vuu200 : vuu201) (span2Span0 ((==) Just vuu18) vuu201 ((==) Just vuu18) vuu200 vuu201 True)",fontsize=16,color="black",shape="box"];822 -> 835[label="",style="solid", color="black", weight=3]; 824 -> 213[label="",style="dashed", color="red", weight=0]; 824[label="span2Ys ((==) Just vuu18) vuu201",fontsize=16,color="magenta"];824 -> 836[label="",style="dashed", color="magenta", weight=3]; 824 -> 837[label="",style="dashed", color="magenta", weight=3]; 825 -> 218[label="",style="dashed", color="red", weight=0]; 825[label="span2Zs ((==) Just vuu18) vuu201",fontsize=16,color="magenta"];825 -> 838[label="",style="dashed", color="magenta", weight=3]; 823[label="span2Zs0 ((==) Just vuu18) (vuu200 : vuu201) (vuu200 : vuu39,vuu38)",fontsize=16,color="black",shape="triangle"];823 -> 839[label="",style="solid", color="black", weight=3]; 826 -> 840[label="",style="dashed", color="red", weight=0]; 826[label="primPlusNat (primMulNat vuu300000 (Succ vuu3100100)) (Succ vuu3100100)",fontsize=16,color="magenta"];826 -> 841[label="",style="dashed", color="magenta", weight=3]; 827[label="Zero",fontsize=16,color="green",shape="box"];828[label="Zero",fontsize=16,color="green",shape="box"];829[label="Zero",fontsize=16,color="green",shape="box"];830[label="span2Ys0 ((==) Just vuu9) (vuu110 : vuu111) ([],vuu110 : vuu111)",fontsize=16,color="black",shape="box"];830 -> 842[label="",style="solid", color="black", weight=3]; 831[label="vuu9",fontsize=16,color="green",shape="box"];832[label="vuu111",fontsize=16,color="green",shape="box"];833[label="vuu111",fontsize=16,color="green",shape="box"];834[label="vuu110 : vuu37",fontsize=16,color="green",shape="box"];835[label="span2Zs0 ((==) Just vuu18) (vuu200 : vuu201) ([],vuu200 : vuu201)",fontsize=16,color="black",shape="box"];835 -> 843[label="",style="solid", color="black", weight=3]; 836[label="vuu201",fontsize=16,color="green",shape="box"];837[label="vuu18",fontsize=16,color="green",shape="box"];838[label="vuu201",fontsize=16,color="green",shape="box"];839[label="vuu38",fontsize=16,color="green",shape="box"];841 -> 778[label="",style="dashed", color="red", weight=0]; 841[label="primMulNat vuu300000 (Succ vuu3100100)",fontsize=16,color="magenta"];841 -> 844[label="",style="dashed", color="magenta", weight=3]; 841 -> 845[label="",style="dashed", color="magenta", weight=3]; 840[label="primPlusNat vuu40 (Succ vuu3100100)",fontsize=16,color="burlywood",shape="triangle"];1158[label="vuu40/Succ vuu400",fontsize=10,color="white",style="solid",shape="box"];840 -> 1158[label="",style="solid", color="burlywood", weight=9]; 1158 -> 846[label="",style="solid", color="burlywood", weight=3]; 1159[label="vuu40/Zero",fontsize=10,color="white",style="solid",shape="box"];840 -> 1159[label="",style="solid", color="burlywood", weight=9]; 1159 -> 847[label="",style="solid", color="burlywood", weight=3]; 842[label="[]",fontsize=16,color="green",shape="box"];843[label="vuu200 : vuu201",fontsize=16,color="green",shape="box"];844[label="Succ vuu3100100",fontsize=16,color="green",shape="box"];845[label="vuu300000",fontsize=16,color="green",shape="box"];846[label="primPlusNat (Succ vuu400) (Succ vuu3100100)",fontsize=16,color="black",shape="box"];846 -> 848[label="",style="solid", color="black", weight=3]; 847[label="primPlusNat Zero (Succ vuu3100100)",fontsize=16,color="black",shape="box"];847 -> 849[label="",style="solid", color="black", weight=3]; 848[label="Succ (Succ (primPlusNat vuu400 vuu3100100))",fontsize=16,color="green",shape="box"];848 -> 850[label="",style="dashed", color="green", weight=3]; 849[label="Succ vuu3100100",fontsize=16,color="green",shape="box"];850[label="primPlusNat vuu400 vuu3100100",fontsize=16,color="burlywood",shape="triangle"];1160[label="vuu400/Succ vuu4000",fontsize=10,color="white",style="solid",shape="box"];850 -> 1160[label="",style="solid", color="burlywood", weight=9]; 1160 -> 851[label="",style="solid", color="burlywood", weight=3]; 1161[label="vuu400/Zero",fontsize=10,color="white",style="solid",shape="box"];850 -> 1161[label="",style="solid", color="burlywood", weight=9]; 1161 -> 852[label="",style="solid", color="burlywood", weight=3]; 851[label="primPlusNat (Succ vuu4000) vuu3100100",fontsize=16,color="burlywood",shape="box"];1162[label="vuu3100100/Succ vuu31001000",fontsize=10,color="white",style="solid",shape="box"];851 -> 1162[label="",style="solid", color="burlywood", weight=9]; 1162 -> 853[label="",style="solid", color="burlywood", weight=3]; 1163[label="vuu3100100/Zero",fontsize=10,color="white",style="solid",shape="box"];851 -> 1163[label="",style="solid", color="burlywood", weight=9]; 1163 -> 854[label="",style="solid", color="burlywood", weight=3]; 852[label="primPlusNat Zero vuu3100100",fontsize=16,color="burlywood",shape="box"];1164[label="vuu3100100/Succ vuu31001000",fontsize=10,color="white",style="solid",shape="box"];852 -> 1164[label="",style="solid", color="burlywood", weight=9]; 1164 -> 855[label="",style="solid", color="burlywood", weight=3]; 1165[label="vuu3100100/Zero",fontsize=10,color="white",style="solid",shape="box"];852 -> 1165[label="",style="solid", color="burlywood", weight=9]; 1165 -> 856[label="",style="solid", color="burlywood", weight=3]; 853[label="primPlusNat (Succ vuu4000) (Succ vuu31001000)",fontsize=16,color="black",shape="box"];853 -> 857[label="",style="solid", color="black", weight=3]; 854[label="primPlusNat (Succ vuu4000) Zero",fontsize=16,color="black",shape="box"];854 -> 858[label="",style="solid", color="black", weight=3]; 855[label="primPlusNat Zero (Succ vuu31001000)",fontsize=16,color="black",shape="box"];855 -> 859[label="",style="solid", color="black", weight=3]; 856[label="primPlusNat Zero Zero",fontsize=16,color="black",shape="box"];856 -> 860[label="",style="solid", color="black", weight=3]; 857[label="Succ (Succ (primPlusNat vuu4000 vuu31001000))",fontsize=16,color="green",shape="box"];857 -> 861[label="",style="dashed", color="green", weight=3]; 858[label="Succ vuu4000",fontsize=16,color="green",shape="box"];859[label="Succ vuu31001000",fontsize=16,color="green",shape="box"];860[label="Zero",fontsize=16,color="green",shape="box"];861 -> 850[label="",style="dashed", color="red", weight=0]; 861[label="primPlusNat vuu4000 vuu31001000",fontsize=16,color="magenta"];861 -> 862[label="",style="dashed", color="magenta", weight=3]; 861 -> 863[label="",style="dashed", color="magenta", weight=3]; 862[label="vuu4000",fontsize=16,color="green",shape="box"];863[label="vuu31001000",fontsize=16,color="green",shape="box"];} ---------------------------------------- (10) Complex Obligation (AND) ---------------------------------------- (11) Obligation: Q DP problem: The TRS P consists of the following rules: new_span2Ys0(vuu9, vuu110, vuu111, True, bb) -> new_span2Zs(vuu9, vuu111, bb) new_span2Ys(vuu9, :(vuu110, vuu111), bb) -> new_span2Ys0(vuu9, vuu110, vuu111, new_esEs4(Just(vuu9), vuu110, bb), bb) new_span2Zs0(vuu18, vuu200, vuu201, True, ba) -> new_span2Ys(vuu18, vuu201, ba) new_span2Zs(vuu18, :(vuu200, vuu201), ba) -> new_span2Zs0(vuu18, vuu200, vuu201, new_esEs4(Just(vuu18), vuu200, ba), ba) new_span2Ys0(vuu9, vuu110, vuu111, True, bb) -> new_span2Ys(vuu9, vuu111, bb) new_span2Zs0(vuu18, vuu200, vuu201, True, ba) -> new_span2Zs(vuu18, vuu201, ba) The TRS R consists of the following rules: new_esEs7(vuu3000, vuu31000, app(ty_Ratio, cb)) -> new_esEs15(vuu3000, vuu31000, cb) new_esEs17(Right(vuu3000), Right(vuu31000), bbh, ty_Float) -> new_esEs11(vuu3000, vuu31000) new_primEqInt(Pos(Zero), Pos(Zero)) -> True new_esEs17(Right(vuu3000), Right(vuu31000), bbh, ty_Integer) -> new_esEs5(vuu3000, vuu31000) new_esEs7(vuu3000, vuu31000, ty_Char) -> new_esEs18(vuu3000, vuu31000) new_esEs25(vuu3000, vuu31000, app(app(app(ty_@3, bde), bdf), bdg)) -> new_esEs6(vuu3000, vuu31000, bde, bdf, bdg) new_esEs22(vuu3001, vuu31001, ty_Double) -> new_esEs14(vuu3001, vuu31001) new_esEs17(Left(vuu3000), Left(vuu31000), app(ty_Ratio, bbb), bae) -> new_esEs15(vuu3000, vuu31000, bbb) new_esEs9(vuu3002, vuu31002, app(app(ty_@2, fb), fc)) -> new_esEs20(vuu3002, vuu31002, fb, fc) new_esEs19(False, True) -> False new_esEs19(True, False) -> False new_esEs25(vuu3000, vuu31000, ty_Ordering) -> new_esEs13(vuu3000, vuu31000) new_esEs4(Just(vuu3000), Just(vuu31000), ty_Float) -> new_esEs11(vuu3000, vuu31000) new_esEs8(vuu3001, vuu31001, ty_Int) -> new_esEs16(vuu3001, vuu31001) new_esEs4(Just(vuu3000), Just(vuu31000), app(app(ty_Either, bfd), bfe)) -> new_esEs17(vuu3000, vuu31000, bfd, bfe) new_esEs17(Right(vuu3000), Right(vuu31000), bbh, ty_Ordering) -> new_esEs13(vuu3000, vuu31000) new_esEs9(vuu3002, vuu31002, ty_@0) -> new_esEs10(vuu3002, vuu31002) new_esEs23(vuu3000, vuu31000, ty_Integer) -> new_esEs5(vuu3000, vuu31000) new_esEs8(vuu3001, vuu31001, app(ty_[], da)) -> new_esEs12(vuu3001, vuu31001, da) new_esEs12(:(vuu3000, vuu3001), [], bdc) -> False new_esEs12([], :(vuu31000, vuu31001), bdc) -> False new_esEs21(vuu3000, vuu31000, app(app(ty_Either, ge), gf)) -> new_esEs17(vuu3000, vuu31000, ge, gf) new_esEs17(Left(vuu3000), Left(vuu31000), app(app(app(ty_@3, bag), bah), bba), bae) -> new_esEs6(vuu3000, vuu31000, bag, bah, bba) new_esEs25(vuu3000, vuu31000, ty_Float) -> new_esEs11(vuu3000, vuu31000) new_esEs17(Left(vuu3000), Left(vuu31000), ty_Float, bae) -> new_esEs11(vuu3000, vuu31000) new_esEs17(Right(vuu3000), Right(vuu31000), bbh, app(ty_Ratio, bce)) -> new_esEs15(vuu3000, vuu31000, bce) new_esEs15(:%(vuu3000, vuu3001), :%(vuu31000, vuu31001), bad) -> new_asAs(new_esEs23(vuu3000, vuu31000, bad), new_esEs24(vuu3001, vuu31001, bad)) new_esEs17(Left(vuu3000), Left(vuu31000), ty_Ordering, bae) -> new_esEs13(vuu3000, vuu31000) new_esEs4(Just(vuu3000), Just(vuu31000), app(app(app(ty_@3, beh), bfa), bfb)) -> new_esEs6(vuu3000, vuu31000, beh, bfa, bfb) new_esEs12(:(vuu3000, vuu3001), :(vuu31000, vuu31001), bdc) -> new_asAs(new_esEs25(vuu3000, vuu31000, bdc), new_esEs12(vuu3001, vuu31001, bdc)) new_asAs(True, vuu27) -> vuu27 new_esEs17(Right(vuu3000), Right(vuu31000), bbh, ty_Bool) -> new_esEs19(vuu3000, vuu31000) new_esEs14(Double(vuu3000, vuu3001), Double(vuu31000, vuu31001)) -> new_esEs16(new_sr(vuu3000, vuu31001), new_sr(vuu3001, vuu31000)) new_esEs8(vuu3001, vuu31001, app(app(app(ty_@3, db), dc), dd)) -> new_esEs6(vuu3001, vuu31001, db, dc, dd) new_esEs21(vuu3000, vuu31000, ty_@0) -> new_esEs10(vuu3000, vuu31000) new_esEs17(Left(vuu3000), Left(vuu31000), ty_Integer, bae) -> new_esEs5(vuu3000, vuu31000) new_esEs8(vuu3001, vuu31001, ty_Ordering) -> new_esEs13(vuu3001, vuu31001) new_esEs21(vuu3000, vuu31000, ty_Integer) -> new_esEs5(vuu3000, vuu31000) new_primEqInt(Pos(Succ(vuu30000)), Pos(Zero)) -> False new_primEqInt(Pos(Zero), Pos(Succ(vuu310000))) -> False new_esEs7(vuu3000, vuu31000, app(ty_Maybe, cg)) -> new_esEs4(vuu3000, vuu31000, cg) new_esEs21(vuu3000, vuu31000, ty_Char) -> new_esEs18(vuu3000, vuu31000) new_esEs4(Just(vuu3000), Just(vuu31000), ty_Ordering) -> new_esEs13(vuu3000, vuu31000) new_esEs4(Just(vuu3000), Just(vuu31000), ty_Integer) -> new_esEs5(vuu3000, vuu31000) new_esEs8(vuu3001, vuu31001, ty_Integer) -> new_esEs5(vuu3001, vuu31001) new_esEs6(@3(vuu3000, vuu3001, vuu3002), @3(vuu31000, vuu31001, vuu31002), bc, bd, be) -> new_asAs(new_esEs7(vuu3000, vuu31000, bc), new_asAs(new_esEs8(vuu3001, vuu31001, bd), new_esEs9(vuu3002, vuu31002, be))) new_esEs21(vuu3000, vuu31000, app(ty_Ratio, gd)) -> new_esEs15(vuu3000, vuu31000, gd) new_esEs22(vuu3001, vuu31001, app(ty_Maybe, bac)) -> new_esEs4(vuu3001, vuu31001, bac) new_esEs7(vuu3000, vuu31000, app(app(ty_@2, ce), cf)) -> new_esEs20(vuu3000, vuu31000, ce, cf) new_esEs4(Just(vuu3000), Just(vuu31000), ty_Bool) -> new_esEs19(vuu3000, vuu31000) new_primEqNat0(Succ(vuu30000), Succ(vuu310000)) -> new_primEqNat0(vuu30000, vuu310000) new_esEs21(vuu3000, vuu31000, ty_Ordering) -> new_esEs13(vuu3000, vuu31000) new_esEs21(vuu3000, vuu31000, ty_Bool) -> new_esEs19(vuu3000, vuu31000) new_esEs17(Left(vuu3000), Left(vuu31000), ty_Bool, bae) -> new_esEs19(vuu3000, vuu31000) new_esEs21(vuu3000, vuu31000, app(app(app(ty_@3, ga), gb), gc)) -> new_esEs6(vuu3000, vuu31000, ga, gb, gc) new_primMulNat0(Zero, Zero) -> Zero new_esEs8(vuu3001, vuu31001, ty_Double) -> new_esEs14(vuu3001, vuu31001) new_esEs17(Left(vuu3000), Left(vuu31000), ty_@0, bae) -> new_esEs10(vuu3000, vuu31000) new_esEs4(Just(vuu3000), Just(vuu31000), ty_Int) -> new_esEs16(vuu3000, vuu31000) new_esEs8(vuu3001, vuu31001, app(app(ty_Either, df), dg)) -> new_esEs17(vuu3001, vuu31001, df, dg) new_esEs4(Nothing, Nothing, bef) -> True new_esEs4(Just(vuu3000), Just(vuu31000), app(ty_[], beg)) -> new_esEs12(vuu3000, vuu31000, beg) new_esEs22(vuu3001, vuu31001, app(app(ty_@2, baa), bab)) -> new_esEs20(vuu3001, vuu31001, baa, bab) new_esEs17(Right(vuu3000), Right(vuu31000), bbh, app(ty_Maybe, bdb)) -> new_esEs4(vuu3000, vuu31000, bdb) new_primEqNat0(Succ(vuu30000), Zero) -> False new_primEqNat0(Zero, Succ(vuu310000)) -> False new_esEs4(Nothing, Just(vuu31000), bef) -> False new_esEs4(Just(vuu3000), Nothing, bef) -> False new_esEs18(Char(vuu3000), Char(vuu31000)) -> new_primEqNat0(vuu3000, vuu31000) new_esEs22(vuu3001, vuu31001, ty_@0) -> new_esEs10(vuu3001, vuu31001) new_esEs8(vuu3001, vuu31001, ty_Float) -> new_esEs11(vuu3001, vuu31001) new_esEs9(vuu3002, vuu31002, ty_Ordering) -> new_esEs13(vuu3002, vuu31002) new_esEs21(vuu3000, vuu31000, ty_Float) -> new_esEs11(vuu3000, vuu31000) new_esEs4(Just(vuu3000), Just(vuu31000), app(app(ty_@2, bff), bfg)) -> new_esEs20(vuu3000, vuu31000, bff, bfg) new_esEs7(vuu3000, vuu31000, ty_Double) -> new_esEs14(vuu3000, vuu31000) new_esEs21(vuu3000, vuu31000, app(app(ty_@2, gg), gh)) -> new_esEs20(vuu3000, vuu31000, gg, gh) new_esEs13(LT, LT) -> True new_esEs11(Float(vuu3000, vuu3001), Float(vuu31000, vuu31001)) -> new_esEs16(new_sr(vuu3000, vuu31001), new_sr(vuu3001, vuu31000)) new_esEs22(vuu3001, vuu31001, ty_Ordering) -> new_esEs13(vuu3001, vuu31001) new_esEs17(Left(vuu3000), Left(vuu31000), app(ty_Maybe, bbg), bae) -> new_esEs4(vuu3000, vuu31000, bbg) new_esEs22(vuu3001, vuu31001, ty_Int) -> new_esEs16(vuu3001, vuu31001) new_esEs7(vuu3000, vuu31000, ty_Float) -> new_esEs11(vuu3000, vuu31000) new_esEs22(vuu3001, vuu31001, app(ty_[], hb)) -> new_esEs12(vuu3001, vuu31001, hb) new_esEs7(vuu3000, vuu31000, ty_Integer) -> new_esEs5(vuu3000, vuu31000) new_primEqInt(Neg(Succ(vuu30000)), Neg(Zero)) -> False new_primEqInt(Neg(Zero), Neg(Succ(vuu310000))) -> False new_esEs19(False, False) -> True new_esEs9(vuu3002, vuu31002, ty_Bool) -> new_esEs19(vuu3002, vuu31002) new_primEqInt(Pos(Succ(vuu30000)), Pos(Succ(vuu310000))) -> new_primEqNat0(vuu30000, vuu310000) new_esEs17(Left(vuu3000), Right(vuu31000), bbh, bae) -> False new_esEs17(Right(vuu3000), Left(vuu31000), bbh, bae) -> False new_sr(Pos(vuu30000), Neg(vuu310010)) -> Neg(new_primMulNat0(vuu30000, vuu310010)) new_sr(Neg(vuu30000), Pos(vuu310010)) -> Neg(new_primMulNat0(vuu30000, vuu310010)) new_esEs25(vuu3000, vuu31000, ty_Integer) -> new_esEs5(vuu3000, vuu31000) new_primPlusNat1(Succ(vuu4000), Succ(vuu31001000)) -> Succ(Succ(new_primPlusNat1(vuu4000, vuu31001000))) new_primEqInt(Pos(Succ(vuu30000)), Neg(vuu31000)) -> False new_primEqInt(Neg(Succ(vuu30000)), Pos(vuu31000)) -> False new_esEs7(vuu3000, vuu31000, app(app(app(ty_@3, bg), bh), ca)) -> new_esEs6(vuu3000, vuu31000, bg, bh, ca) new_esEs25(vuu3000, vuu31000, app(ty_Ratio, bdh)) -> new_esEs15(vuu3000, vuu31000, bdh) new_esEs9(vuu3002, vuu31002, ty_Char) -> new_esEs18(vuu3002, vuu31002) new_esEs13(LT, GT) -> False new_esEs13(GT, LT) -> False new_esEs9(vuu3002, vuu31002, app(app(ty_Either, eh), fa)) -> new_esEs17(vuu3002, vuu31002, eh, fa) new_esEs22(vuu3001, vuu31001, ty_Char) -> new_esEs18(vuu3001, vuu31001) new_esEs9(vuu3002, vuu31002, ty_Int) -> new_esEs16(vuu3002, vuu31002) new_esEs17(Left(vuu3000), Left(vuu31000), ty_Double, bae) -> new_esEs14(vuu3000, vuu31000) new_esEs22(vuu3001, vuu31001, app(app(ty_Either, hg), hh)) -> new_esEs17(vuu3001, vuu31001, hg, hh) new_esEs8(vuu3001, vuu31001, ty_@0) -> new_esEs10(vuu3001, vuu31001) new_esEs9(vuu3002, vuu31002, app(ty_[], ec)) -> new_esEs12(vuu3002, vuu31002, ec) new_esEs8(vuu3001, vuu31001, app(app(ty_@2, dh), ea)) -> new_esEs20(vuu3001, vuu31001, dh, ea) new_esEs24(vuu3001, vuu31001, ty_Integer) -> new_esEs5(vuu3001, vuu31001) new_esEs8(vuu3001, vuu31001, ty_Char) -> new_esEs18(vuu3001, vuu31001) new_esEs20(@2(vuu3000, vuu3001), @2(vuu31000, vuu31001), ff, fg) -> new_asAs(new_esEs21(vuu3000, vuu31000, ff), new_esEs22(vuu3001, vuu31001, fg)) new_sr(Neg(vuu30000), Neg(vuu310010)) -> Pos(new_primMulNat0(vuu30000, vuu310010)) new_esEs22(vuu3001, vuu31001, ty_Bool) -> new_esEs19(vuu3001, vuu31001) new_esEs4(Just(vuu3000), Just(vuu31000), ty_Double) -> new_esEs14(vuu3000, vuu31000) new_esEs17(Right(vuu3000), Right(vuu31000), bbh, app(app(app(ty_@3, bcb), bcc), bcd)) -> new_esEs6(vuu3000, vuu31000, bcb, bcc, bcd) new_esEs13(GT, GT) -> True new_esEs21(vuu3000, vuu31000, app(ty_[], fh)) -> new_esEs12(vuu3000, vuu31000, fh) new_esEs21(vuu3000, vuu31000, ty_Double) -> new_esEs14(vuu3000, vuu31000) new_primEqInt(Pos(Zero), Neg(Succ(vuu310000))) -> False new_primEqInt(Neg(Zero), Pos(Succ(vuu310000))) -> False new_esEs7(vuu3000, vuu31000, ty_Int) -> new_esEs16(vuu3000, vuu31000) new_esEs5(Integer(vuu3000), Integer(vuu31000)) -> new_primEqInt(vuu3000, vuu31000) new_esEs7(vuu3000, vuu31000, app(ty_[], bf)) -> new_esEs12(vuu3000, vuu31000, bf) new_esEs10(@0, @0) -> True new_esEs25(vuu3000, vuu31000, ty_Double) -> new_esEs14(vuu3000, vuu31000) new_esEs22(vuu3001, vuu31001, ty_Float) -> new_esEs11(vuu3001, vuu31001) new_esEs17(Right(vuu3000), Right(vuu31000), bbh, app(ty_[], bca)) -> new_esEs12(vuu3000, vuu31000, bca) new_primEqInt(Neg(Succ(vuu30000)), Neg(Succ(vuu310000))) -> new_primEqNat0(vuu30000, vuu310000) new_esEs21(vuu3000, vuu31000, ty_Int) -> new_esEs16(vuu3000, vuu31000) new_esEs17(Left(vuu3000), Left(vuu31000), ty_Int, bae) -> new_esEs16(vuu3000, vuu31000) new_primPlusNat0(Succ(vuu400), vuu3100100) -> Succ(Succ(new_primPlusNat1(vuu400, vuu3100100))) new_esEs17(Left(vuu3000), Left(vuu31000), app(ty_[], baf), bae) -> new_esEs12(vuu3000, vuu31000, baf) new_esEs17(Left(vuu3000), Left(vuu31000), app(app(ty_@2, bbe), bbf), bae) -> new_esEs20(vuu3000, vuu31000, bbe, bbf) new_esEs17(Right(vuu3000), Right(vuu31000), bbh, ty_Double) -> new_esEs14(vuu3000, vuu31000) new_esEs13(EQ, GT) -> False new_esEs13(GT, EQ) -> False new_esEs17(Right(vuu3000), Right(vuu31000), bbh, ty_@0) -> new_esEs10(vuu3000, vuu31000) new_esEs17(Left(vuu3000), Left(vuu31000), app(app(ty_Either, bbc), bbd), bae) -> new_esEs17(vuu3000, vuu31000, bbc, bbd) new_esEs23(vuu3000, vuu31000, ty_Int) -> new_esEs16(vuu3000, vuu31000) new_primPlusNat1(Zero, Zero) -> Zero new_esEs4(Just(vuu3000), Just(vuu31000), app(ty_Ratio, bfc)) -> new_esEs15(vuu3000, vuu31000, bfc) new_primMulNat0(Succ(vuu300000), Zero) -> Zero new_primMulNat0(Zero, Succ(vuu3100100)) -> Zero new_sr(Pos(vuu30000), Pos(vuu310010)) -> Pos(new_primMulNat0(vuu30000, vuu310010)) new_primPlusNat0(Zero, vuu3100100) -> Succ(vuu3100100) new_esEs4(Just(vuu3000), Just(vuu31000), ty_Char) -> new_esEs18(vuu3000, vuu31000) new_esEs8(vuu3001, vuu31001, ty_Bool) -> new_esEs19(vuu3001, vuu31001) new_esEs8(vuu3001, vuu31001, app(ty_Ratio, de)) -> new_esEs15(vuu3001, vuu31001, de) new_esEs25(vuu3000, vuu31000, app(ty_Maybe, bee)) -> new_esEs4(vuu3000, vuu31000, bee) new_esEs9(vuu3002, vuu31002, ty_Double) -> new_esEs14(vuu3002, vuu31002) new_esEs24(vuu3001, vuu31001, ty_Int) -> new_esEs16(vuu3001, vuu31001) new_esEs17(Left(vuu3000), Left(vuu31000), ty_Char, bae) -> new_esEs18(vuu3000, vuu31000) new_esEs16(vuu300, vuu3100) -> new_primEqInt(vuu300, vuu3100) new_esEs7(vuu3000, vuu31000, app(app(ty_Either, cc), cd)) -> new_esEs17(vuu3000, vuu31000, cc, cd) new_esEs9(vuu3002, vuu31002, ty_Float) -> new_esEs11(vuu3002, vuu31002) new_primEqInt(Neg(Zero), Neg(Zero)) -> True new_esEs9(vuu3002, vuu31002, ty_Integer) -> new_esEs5(vuu3002, vuu31002) new_primMulNat0(Succ(vuu300000), Succ(vuu3100100)) -> new_primPlusNat0(new_primMulNat0(vuu300000, Succ(vuu3100100)), vuu3100100) new_esEs7(vuu3000, vuu31000, ty_Bool) -> new_esEs19(vuu3000, vuu31000) new_esEs4(Just(vuu3000), Just(vuu31000), ty_@0) -> new_esEs10(vuu3000, vuu31000) new_esEs9(vuu3002, vuu31002, app(ty_Maybe, fd)) -> new_esEs4(vuu3002, vuu31002, fd) new_esEs22(vuu3001, vuu31001, app(ty_Ratio, hf)) -> new_esEs15(vuu3001, vuu31001, hf) new_esEs17(Right(vuu3000), Right(vuu31000), bbh, ty_Int) -> new_esEs16(vuu3000, vuu31000) new_primPlusNat1(Succ(vuu4000), Zero) -> Succ(vuu4000) new_primPlusNat1(Zero, Succ(vuu31001000)) -> Succ(vuu31001000) new_esEs22(vuu3001, vuu31001, app(app(app(ty_@3, hc), hd), he)) -> new_esEs6(vuu3001, vuu31001, hc, hd, he) new_esEs25(vuu3000, vuu31000, ty_Int) -> new_esEs16(vuu3000, vuu31000) new_esEs9(vuu3002, vuu31002, app(app(app(ty_@3, ed), ee), ef)) -> new_esEs6(vuu3002, vuu31002, ed, ee, ef) new_esEs25(vuu3000, vuu31000, app(ty_[], bdd)) -> new_esEs12(vuu3000, vuu31000, bdd) new_esEs25(vuu3000, vuu31000, app(app(ty_@2, bec), bed)) -> new_esEs20(vuu3000, vuu31000, bec, bed) new_esEs17(Right(vuu3000), Right(vuu31000), bbh, ty_Char) -> new_esEs18(vuu3000, vuu31000) new_esEs12([], [], bdc) -> True new_esEs17(Right(vuu3000), Right(vuu31000), bbh, app(app(ty_Either, bcf), bcg)) -> new_esEs17(vuu3000, vuu31000, bcf, bcg) new_primEqInt(Pos(Zero), Neg(Zero)) -> True new_primEqInt(Neg(Zero), Pos(Zero)) -> True new_esEs22(vuu3001, vuu31001, ty_Integer) -> new_esEs5(vuu3001, vuu31001) new_esEs25(vuu3000, vuu31000, ty_@0) -> new_esEs10(vuu3000, vuu31000) new_primEqNat0(Zero, Zero) -> True new_esEs7(vuu3000, vuu31000, ty_Ordering) -> new_esEs13(vuu3000, vuu31000) new_esEs21(vuu3000, vuu31000, app(ty_Maybe, ha)) -> new_esEs4(vuu3000, vuu31000, ha) new_esEs9(vuu3002, vuu31002, app(ty_Ratio, eg)) -> new_esEs15(vuu3002, vuu31002, eg) new_esEs25(vuu3000, vuu31000, app(app(ty_Either, bea), beb)) -> new_esEs17(vuu3000, vuu31000, bea, beb) new_esEs25(vuu3000, vuu31000, ty_Char) -> new_esEs18(vuu3000, vuu31000) new_esEs13(EQ, EQ) -> True new_asAs(False, vuu27) -> False new_esEs13(LT, EQ) -> False new_esEs13(EQ, LT) -> False new_esEs8(vuu3001, vuu31001, app(ty_Maybe, eb)) -> new_esEs4(vuu3001, vuu31001, eb) new_esEs17(Right(vuu3000), Right(vuu31000), bbh, app(app(ty_@2, bch), bda)) -> new_esEs20(vuu3000, vuu31000, bch, bda) new_esEs4(Just(vuu3000), Just(vuu31000), app(ty_Maybe, bfh)) -> new_esEs4(vuu3000, vuu31000, bfh) new_esEs7(vuu3000, vuu31000, ty_@0) -> new_esEs10(vuu3000, vuu31000) new_esEs19(True, True) -> True new_esEs25(vuu3000, vuu31000, ty_Bool) -> new_esEs19(vuu3000, vuu31000) The set Q consists of the following terms: new_esEs7(x0, x1, ty_Bool) new_esEs25(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs4(Just(x0), Just(x1), ty_Double) new_esEs8(x0, x1, app(app(ty_@2, x2), x3)) new_esEs13(EQ, EQ) new_esEs17(Right(x0), Right(x1), x2, app(app(ty_@2, x3), x4)) new_esEs7(x0, x1, app(ty_Ratio, x2)) new_esEs22(x0, x1, ty_Double) new_esEs22(x0, x1, ty_Float) new_esEs17(Left(x0), Left(x1), ty_Ordering, x2) new_esEs17(Left(x0), Left(x1), ty_Float, x2) new_primPlusNat1(Succ(x0), Succ(x1)) new_esEs18(Char(x0), Char(x1)) new_esEs8(x0, x1, ty_Integer) new_esEs17(Right(x0), Right(x1), x2, ty_Char) new_primMulNat0(Zero, Zero) new_primPlusNat1(Zero, Zero) new_primEqInt(Neg(Zero), Neg(Succ(x0))) new_esEs7(x0, x1, ty_@0) new_esEs4(Nothing, Nothing, x0) new_esEs19(False, False) new_esEs8(x0, x1, app(app(ty_Either, x2), x3)) new_primEqInt(Pos(Zero), Pos(Succ(x0))) new_primEqInt(Pos(Zero), Pos(Zero)) new_esEs17(Right(x0), Right(x1), x2, app(app(ty_Either, x3), x4)) new_esEs8(x0, x1, app(ty_[], x2)) new_esEs8(x0, x1, ty_Bool) new_esEs17(Left(x0), Left(x1), ty_Int, x2) new_esEs17(Right(x0), Right(x1), x2, ty_Ordering) new_esEs23(x0, x1, ty_Integer) new_primEqNat0(Zero, Succ(x0)) new_esEs25(x0, x1, app(app(ty_@2, x2), x3)) new_esEs17(Right(x0), Right(x1), x2, ty_Int) new_esEs17(Left(x0), Left(x1), ty_Char, x2) new_esEs17(Left(x0), Left(x1), app(ty_Maybe, x2), x3) new_esEs13(LT, LT) new_esEs9(x0, x1, app(app(ty_Either, x2), x3)) new_sr(Neg(x0), Neg(x1)) new_esEs17(Left(x0), Left(x1), ty_Double, x2) new_esEs9(x0, x1, ty_Double) new_esEs16(x0, x1) new_primEqInt(Neg(Zero), Neg(Zero)) new_esEs25(x0, x1, ty_Bool) new_esEs25(x0, x1, app(app(ty_Either, x2), x3)) new_esEs5(Integer(x0), Integer(x1)) new_esEs8(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs12([], [], x0) new_esEs8(x0, x1, app(ty_Maybe, x2)) new_esEs17(Right(x0), Right(x1), x2, app(ty_Maybe, x3)) new_esEs4(Just(x0), Just(x1), ty_Char) new_esEs24(x0, x1, ty_Integer) new_esEs15(:%(x0, x1), :%(x2, x3), x4) new_primPlusNat0(Zero, x0) new_esEs17(Right(x0), Right(x1), x2, ty_@0) new_esEs8(x0, x1, app(ty_Ratio, x2)) new_esEs4(Just(x0), Just(x1), app(ty_Maybe, x2)) new_esEs24(x0, x1, ty_Int) new_esEs25(x0, x1, ty_Ordering) new_esEs21(x0, x1, ty_Bool) new_esEs17(Right(x0), Right(x1), x2, ty_Float) new_esEs9(x0, x1, ty_Float) new_esEs22(x0, x1, ty_Integer) new_esEs17(Left(x0), Left(x1), app(app(app(ty_@3, x2), x3), x4), x5) new_esEs4(Just(x0), Just(x1), ty_Int) new_sr(Pos(x0), Pos(x1)) new_primPlusNat1(Zero, Succ(x0)) new_esEs9(x0, x1, app(app(ty_@2, x2), x3)) new_esEs21(x0, x1, ty_Float) new_esEs7(x0, x1, app(app(ty_@2, x2), x3)) new_esEs4(Nothing, Just(x0), x1) new_primEqInt(Pos(Succ(x0)), Pos(Zero)) new_esEs17(Left(x0), Left(x1), ty_Integer, x2) new_primEqInt(Pos(Zero), Neg(Zero)) new_primEqInt(Neg(Zero), Pos(Zero)) new_esEs21(x0, x1, ty_@0) new_esEs4(Just(x0), Just(x1), app(app(app(ty_@3, x2), x3), x4)) new_primEqInt(Pos(Zero), Neg(Succ(x0))) new_primEqInt(Neg(Zero), Pos(Succ(x0))) new_esEs21(x0, x1, ty_Double) new_esEs21(x0, x1, ty_Char) new_esEs25(x0, x1, app(ty_Maybe, x2)) new_esEs25(x0, x1, ty_Integer) new_esEs22(x0, x1, ty_Ordering) new_primEqInt(Pos(Succ(x0)), Neg(x1)) new_primEqInt(Neg(Succ(x0)), Pos(x1)) new_esEs17(Left(x0), Left(x1), app(ty_[], x2), x3) new_primMulNat0(Succ(x0), Zero) new_esEs19(True, True) new_esEs12(:(x0, x1), :(x2, x3), x4) new_esEs17(Right(x0), Right(x1), x2, app(app(app(ty_@3, x3), x4), x5)) new_esEs7(x0, x1, app(ty_[], x2)) new_esEs4(Just(x0), Just(x1), ty_Float) new_esEs22(x0, x1, app(ty_Ratio, x2)) new_esEs21(x0, x1, ty_Int) new_esEs20(@2(x0, x1), @2(x2, x3), x4, x5) new_esEs7(x0, x1, ty_Float) new_esEs22(x0, x1, ty_@0) new_esEs8(x0, x1, ty_Int) new_esEs17(Left(x0), Left(x1), app(app(ty_Either, x2), x3), x4) new_esEs4(Just(x0), Just(x1), ty_@0) new_esEs25(x0, x1, ty_Char) new_esEs22(x0, x1, app(ty_[], x2)) new_esEs22(x0, x1, ty_Bool) new_esEs4(Just(x0), Nothing, x1) new_esEs4(Just(x0), Just(x1), app(ty_[], x2)) new_esEs22(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs17(Left(x0), Left(x1), ty_@0, x2) new_primMulNat0(Zero, Succ(x0)) new_esEs7(x0, x1, app(ty_Maybe, x2)) new_esEs7(x0, x1, app(app(ty_Either, x2), x3)) new_esEs17(Left(x0), Left(x1), app(ty_Ratio, x2), x3) new_esEs21(x0, x1, app(ty_Ratio, x2)) new_esEs25(x0, x1, ty_Int) new_esEs22(x0, x1, app(ty_Maybe, x2)) new_esEs17(Left(x0), Left(x1), ty_Bool, x2) new_esEs6(@3(x0, x1, x2), @3(x3, x4, x5), x6, x7, x8) new_esEs13(LT, GT) new_esEs13(GT, LT) new_esEs17(Right(x0), Right(x1), x2, ty_Integer) new_esEs7(x0, x1, ty_Ordering) new_esEs7(x0, x1, ty_Int) new_esEs8(x0, x1, ty_Ordering) new_primEqInt(Pos(Succ(x0)), Pos(Succ(x1))) new_esEs21(x0, x1, app(app(ty_Either, x2), x3)) new_esEs9(x0, x1, ty_@0) new_esEs19(False, True) new_esEs19(True, False) new_esEs9(x0, x1, ty_Int) new_esEs23(x0, x1, ty_Int) new_esEs21(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_primEqInt(Neg(Succ(x0)), Neg(Succ(x1))) new_esEs9(x0, x1, app(ty_Maybe, x2)) new_esEs25(x0, x1, app(ty_Ratio, x2)) new_esEs12(:(x0, x1), [], x2) new_esEs4(Just(x0), Just(x1), app(app(ty_@2, x2), x3)) new_esEs7(x0, x1, ty_Char) new_primMulNat0(Succ(x0), Succ(x1)) new_primPlusNat0(Succ(x0), x1) new_esEs4(Just(x0), Just(x1), app(app(ty_Either, x2), x3)) new_esEs4(Just(x0), Just(x1), ty_Bool) new_esEs7(x0, x1, ty_Double) new_esEs21(x0, x1, app(ty_Maybe, x2)) new_esEs9(x0, x1, ty_Char) new_esEs25(x0, x1, app(ty_[], x2)) new_esEs17(Right(x0), Right(x1), x2, app(ty_[], x3)) new_esEs8(x0, x1, ty_Double) new_esEs8(x0, x1, ty_Char) new_esEs22(x0, x1, ty_Char) new_primEqNat0(Zero, Zero) new_esEs17(Right(x0), Right(x1), x2, app(ty_Ratio, x3)) new_esEs9(x0, x1, ty_Ordering) new_esEs13(EQ, GT) new_esEs13(GT, EQ) new_esEs7(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs21(x0, x1, ty_Ordering) new_esEs9(x0, x1, app(ty_Ratio, x2)) new_esEs17(Right(x0), Right(x1), x2, ty_Double) new_esEs17(Left(x0), Right(x1), x2, x3) new_esEs17(Right(x0), Left(x1), x2, x3) new_esEs25(x0, x1, ty_@0) new_esEs25(x0, x1, ty_Double) new_esEs17(Left(x0), Left(x1), app(app(ty_@2, x2), x3), x4) new_esEs22(x0, x1, app(app(ty_@2, x2), x3)) new_asAs(False, x0) new_esEs8(x0, x1, ty_@0) new_sr(Pos(x0), Neg(x1)) new_sr(Neg(x0), Pos(x1)) new_esEs21(x0, x1, app(app(ty_@2, x2), x3)) new_asAs(True, x0) new_primEqInt(Neg(Succ(x0)), Neg(Zero)) new_esEs17(Right(x0), Right(x1), x2, ty_Bool) new_esEs21(x0, x1, ty_Integer) new_esEs9(x0, x1, ty_Bool) new_primPlusNat1(Succ(x0), Zero) new_esEs11(Float(x0, x1), Float(x2, x3)) new_esEs22(x0, x1, app(app(ty_Either, x2), x3)) new_esEs9(x0, x1, ty_Integer) new_esEs9(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_primEqNat0(Succ(x0), Zero) new_esEs8(x0, x1, ty_Float) new_esEs7(x0, x1, ty_Integer) new_esEs21(x0, x1, app(ty_[], x2)) new_esEs10(@0, @0) new_esEs12([], :(x0, x1), x2) new_esEs4(Just(x0), Just(x1), ty_Integer) new_esEs4(Just(x0), Just(x1), ty_Ordering) new_esEs9(x0, x1, app(ty_[], x2)) new_esEs4(Just(x0), Just(x1), app(ty_Ratio, x2)) new_esEs13(GT, GT) new_esEs13(LT, EQ) new_esEs13(EQ, LT) new_primEqNat0(Succ(x0), Succ(x1)) new_esEs22(x0, x1, ty_Int) new_esEs25(x0, x1, ty_Float) new_esEs14(Double(x0, x1), Double(x2, x3)) We have to consider all minimal (P,Q,R)-chains. ---------------------------------------- (12) QDPSizeChangeProof (EQUIVALENT) 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. From the DPs we obtained the following set of size-change graphs: *new_span2Zs(vuu18, :(vuu200, vuu201), ba) -> new_span2Zs0(vuu18, vuu200, vuu201, new_esEs4(Just(vuu18), vuu200, ba), ba) The graph contains the following edges 1 >= 1, 2 > 2, 2 > 3, 3 >= 5 *new_span2Ys(vuu9, :(vuu110, vuu111), bb) -> new_span2Ys0(vuu9, vuu110, vuu111, new_esEs4(Just(vuu9), vuu110, bb), bb) The graph contains the following edges 1 >= 1, 2 > 2, 2 > 3, 3 >= 5 *new_span2Ys0(vuu9, vuu110, vuu111, True, bb) -> new_span2Ys(vuu9, vuu111, bb) The graph contains the following edges 1 >= 1, 3 >= 2, 5 >= 3 *new_span2Ys0(vuu9, vuu110, vuu111, True, bb) -> new_span2Zs(vuu9, vuu111, bb) The graph contains the following edges 1 >= 1, 3 >= 2, 5 >= 3 *new_span2Zs0(vuu18, vuu200, vuu201, True, ba) -> new_span2Ys(vuu18, vuu201, ba) The graph contains the following edges 1 >= 1, 3 >= 2, 5 >= 3 *new_span2Zs0(vuu18, vuu200, vuu201, True, ba) -> new_span2Zs(vuu18, vuu201, ba) The graph contains the following edges 1 >= 1, 3 >= 2, 5 >= 3 ---------------------------------------- (13) YES ---------------------------------------- (14) Obligation: Q DP problem: The TRS P consists of the following rules: new_esEs3(Just(vuu3000), Just(vuu31000), app(app(ty_Either, bdg), bdh)) -> new_esEs1(vuu3000, vuu31000, bdg, bdh) new_esEs1(Left(vuu3000), Left(vuu31000), app(app(ty_Either, gh), ha), gd) -> new_esEs1(vuu3000, vuu31000, gh, ha) new_esEs(:(vuu3000, vuu3001), :(vuu31000, vuu31001), app(app(ty_@2, bg), bh)) -> new_esEs2(vuu3000, vuu31000, bg, bh) new_esEs1(Right(vuu3000), Right(vuu31000), he, app(ty_Maybe, baf)) -> new_esEs3(vuu3000, vuu31000, baf) new_esEs3(Just(vuu3000), Just(vuu31000), app(app(app(ty_@3, bdd), bde), bdf)) -> new_esEs0(vuu3000, vuu31000, bdd, bde, bdf) new_esEs0(@3(vuu3000, vuu3001, vuu3002), @3(vuu31000, vuu31001, vuu31002), dg, app(app(app(ty_@3, ea), eb), ec), ce) -> new_esEs0(vuu3001, vuu31001, ea, eb, ec) new_esEs0(@3(vuu3000, vuu3001, vuu3002), @3(vuu31000, vuu31001, vuu31002), dg, app(ty_Maybe, eh), ce) -> new_esEs3(vuu3001, vuu31001, eh) new_esEs2(@2(vuu3000, vuu3001), @2(vuu31000, vuu31001), bca, app(ty_Maybe, bdb)) -> new_esEs3(vuu3001, vuu31001, bdb) new_esEs2(@2(vuu3000, vuu3001), @2(vuu31000, vuu31001), bca, app(app(ty_@2, bch), bda)) -> new_esEs2(vuu3001, vuu31001, bch, bda) new_esEs2(@2(vuu3000, vuu3001), @2(vuu31000, vuu31001), bca, app(ty_[], bcb)) -> new_esEs(vuu3001, vuu31001, bcb) new_esEs(:(vuu3000, vuu3001), :(vuu31000, vuu31001), cb) -> new_esEs(vuu3001, vuu31001, cb) new_esEs0(@3(vuu3000, vuu3001, vuu3002), @3(vuu31000, vuu31001, vuu31002), dg, cd, app(ty_Maybe, gb)) -> new_esEs3(vuu3002, vuu31002, gb) new_esEs2(@2(vuu3000, vuu3001), @2(vuu31000, vuu31001), app(ty_Maybe, bbh), bah) -> new_esEs3(vuu3000, vuu31000, bbh) new_esEs3(Just(vuu3000), Just(vuu31000), app(ty_Maybe, bec)) -> new_esEs3(vuu3000, vuu31000, bec) new_esEs0(@3(vuu3000, vuu3001, vuu3002), @3(vuu31000, vuu31001, vuu31002), app(app(ty_Either, db), dc), cd, ce) -> new_esEs1(vuu3000, vuu31000, db, dc) new_esEs0(@3(vuu3000, vuu3001, vuu3002), @3(vuu31000, vuu31001, vuu31002), dg, cd, app(app(ty_@2, fh), ga)) -> new_esEs2(vuu3002, vuu31002, fh, ga) new_esEs(:(vuu3000, vuu3001), :(vuu31000, vuu31001), app(ty_[], ba)) -> new_esEs(vuu3000, vuu31000, ba) new_esEs0(@3(vuu3000, vuu3001, vuu3002), @3(vuu31000, vuu31001, vuu31002), app(ty_Maybe, df), cd, ce) -> new_esEs3(vuu3000, vuu31000, df) new_esEs0(@3(vuu3000, vuu3001, vuu3002), @3(vuu31000, vuu31001, vuu31002), dg, app(app(ty_@2, ef), eg), ce) -> new_esEs2(vuu3001, vuu31001, ef, eg) new_esEs1(Left(vuu3000), Left(vuu31000), app(ty_Maybe, hd), gd) -> new_esEs3(vuu3000, vuu31000, hd) new_esEs2(@2(vuu3000, vuu3001), @2(vuu31000, vuu31001), app(app(ty_@2, bbf), bbg), bah) -> new_esEs2(vuu3000, vuu31000, bbf, bbg) new_esEs1(Right(vuu3000), Right(vuu31000), he, app(app(ty_@2, bad), bae)) -> new_esEs2(vuu3000, vuu31000, bad, bae) new_esEs(:(vuu3000, vuu3001), :(vuu31000, vuu31001), app(app(app(ty_@3, bb), bc), bd)) -> new_esEs0(vuu3000, vuu31000, bb, bc, bd) new_esEs0(@3(vuu3000, vuu3001, vuu3002), @3(vuu31000, vuu31001, vuu31002), dg, cd, app(app(app(ty_@3, fb), fc), fd)) -> new_esEs0(vuu3002, vuu31002, fb, fc, fd) new_esEs1(Left(vuu3000), Left(vuu31000), app(ty_[], gc), gd) -> new_esEs(vuu3000, vuu31000, gc) new_esEs1(Left(vuu3000), Left(vuu31000), app(app(app(ty_@3, ge), gf), gg), gd) -> new_esEs0(vuu3000, vuu31000, ge, gf, gg) new_esEs3(Just(vuu3000), Just(vuu31000), app(app(ty_@2, bea), beb)) -> new_esEs2(vuu3000, vuu31000, bea, beb) new_esEs(:(vuu3000, vuu3001), :(vuu31000, vuu31001), app(app(ty_Either, be), bf)) -> new_esEs1(vuu3000, vuu31000, be, bf) new_esEs3(Just(vuu3000), Just(vuu31000), app(ty_[], bdc)) -> new_esEs(vuu3000, vuu31000, bdc) new_esEs0(@3(vuu3000, vuu3001, vuu3002), @3(vuu31000, vuu31001, vuu31002), app(ty_[], cc), cd, ce) -> new_esEs(vuu3000, vuu31000, cc) new_esEs0(@3(vuu3000, vuu3001, vuu3002), @3(vuu31000, vuu31001, vuu31002), dg, app(ty_[], dh), ce) -> new_esEs(vuu3001, vuu31001, dh) new_esEs(:(vuu3000, vuu3001), :(vuu31000, vuu31001), app(ty_Maybe, ca)) -> new_esEs3(vuu3000, vuu31000, ca) new_esEs0(@3(vuu3000, vuu3001, vuu3002), @3(vuu31000, vuu31001, vuu31002), dg, cd, app(ty_[], fa)) -> new_esEs(vuu3002, vuu31002, fa) new_esEs0(@3(vuu3000, vuu3001, vuu3002), @3(vuu31000, vuu31001, vuu31002), dg, app(app(ty_Either, ed), ee), ce) -> new_esEs1(vuu3001, vuu31001, ed, ee) new_esEs1(Left(vuu3000), Left(vuu31000), app(app(ty_@2, hb), hc), gd) -> new_esEs2(vuu3000, vuu31000, hb, hc) new_esEs1(Right(vuu3000), Right(vuu31000), he, app(app(app(ty_@3, hg), hh), baa)) -> new_esEs0(vuu3000, vuu31000, hg, hh, baa) new_esEs2(@2(vuu3000, vuu3001), @2(vuu31000, vuu31001), app(ty_[], bag), bah) -> new_esEs(vuu3000, vuu31000, bag) new_esEs0(@3(vuu3000, vuu3001, vuu3002), @3(vuu31000, vuu31001, vuu31002), app(app(ty_@2, dd), de), cd, ce) -> new_esEs2(vuu3000, vuu31000, dd, de) new_esEs2(@2(vuu3000, vuu3001), @2(vuu31000, vuu31001), app(app(app(ty_@3, bba), bbb), bbc), bah) -> new_esEs0(vuu3000, vuu31000, bba, bbb, bbc) new_esEs1(Right(vuu3000), Right(vuu31000), he, app(ty_[], hf)) -> new_esEs(vuu3000, vuu31000, hf) new_esEs2(@2(vuu3000, vuu3001), @2(vuu31000, vuu31001), app(app(ty_Either, bbd), bbe), bah) -> new_esEs1(vuu3000, vuu31000, bbd, bbe) new_esEs1(Right(vuu3000), Right(vuu31000), he, app(app(ty_Either, bab), bac)) -> new_esEs1(vuu3000, vuu31000, bab, bac) new_esEs2(@2(vuu3000, vuu3001), @2(vuu31000, vuu31001), bca, app(app(ty_Either, bcf), bcg)) -> new_esEs1(vuu3001, vuu31001, bcf, bcg) new_esEs0(@3(vuu3000, vuu3001, vuu3002), @3(vuu31000, vuu31001, vuu31002), app(app(app(ty_@3, cf), cg), da), cd, ce) -> new_esEs0(vuu3000, vuu31000, cf, cg, da) new_esEs0(@3(vuu3000, vuu3001, vuu3002), @3(vuu31000, vuu31001, vuu31002), dg, cd, app(app(ty_Either, ff), fg)) -> new_esEs1(vuu3002, vuu31002, ff, fg) new_esEs2(@2(vuu3000, vuu3001), @2(vuu31000, vuu31001), bca, app(app(app(ty_@3, bcc), bcd), bce)) -> new_esEs0(vuu3001, vuu31001, bcc, bcd, bce) R is empty. Q is empty. We have to consider all minimal (P,Q,R)-chains. ---------------------------------------- (15) QDPSizeChangeProof (EQUIVALENT) 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. From the DPs we obtained the following set of size-change graphs: *new_esEs3(Just(vuu3000), Just(vuu31000), app(ty_Maybe, bec)) -> new_esEs3(vuu3000, vuu31000, bec) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs3(Just(vuu3000), Just(vuu31000), app(app(ty_Either, bdg), bdh)) -> new_esEs1(vuu3000, vuu31000, bdg, bdh) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs3(Just(vuu3000), Just(vuu31000), app(ty_[], bdc)) -> new_esEs(vuu3000, vuu31000, bdc) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs(:(vuu3000, vuu3001), :(vuu31000, vuu31001), app(ty_Maybe, ca)) -> new_esEs3(vuu3000, vuu31000, ca) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs(:(vuu3000, vuu3001), :(vuu31000, vuu31001), app(app(ty_Either, be), bf)) -> new_esEs1(vuu3000, vuu31000, be, bf) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs3(Just(vuu3000), Just(vuu31000), app(app(app(ty_@3, bdd), bde), bdf)) -> new_esEs0(vuu3000, vuu31000, bdd, bde, bdf) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 *new_esEs3(Just(vuu3000), Just(vuu31000), app(app(ty_@2, bea), beb)) -> new_esEs2(vuu3000, vuu31000, bea, beb) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs(:(vuu3000, vuu3001), :(vuu31000, vuu31001), app(app(app(ty_@3, bb), bc), bd)) -> new_esEs0(vuu3000, vuu31000, bb, bc, bd) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 *new_esEs(:(vuu3000, vuu3001), :(vuu31000, vuu31001), app(app(ty_@2, bg), bh)) -> new_esEs2(vuu3000, vuu31000, bg, bh) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs1(Right(vuu3000), Right(vuu31000), he, app(ty_Maybe, baf)) -> new_esEs3(vuu3000, vuu31000, baf) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 *new_esEs1(Left(vuu3000), Left(vuu31000), app(ty_Maybe, hd), gd) -> new_esEs3(vuu3000, vuu31000, hd) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs1(Left(vuu3000), Left(vuu31000), app(app(ty_Either, gh), ha), gd) -> new_esEs1(vuu3000, vuu31000, gh, ha) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs1(Right(vuu3000), Right(vuu31000), he, app(app(ty_Either, bab), bac)) -> new_esEs1(vuu3000, vuu31000, bab, bac) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 *new_esEs1(Left(vuu3000), Left(vuu31000), app(ty_[], gc), gd) -> new_esEs(vuu3000, vuu31000, gc) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs1(Right(vuu3000), Right(vuu31000), he, app(ty_[], hf)) -> new_esEs(vuu3000, vuu31000, hf) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 *new_esEs1(Left(vuu3000), Left(vuu31000), app(app(app(ty_@3, ge), gf), gg), gd) -> new_esEs0(vuu3000, vuu31000, ge, gf, gg) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 *new_esEs1(Right(vuu3000), Right(vuu31000), he, app(app(app(ty_@3, hg), hh), baa)) -> new_esEs0(vuu3000, vuu31000, hg, hh, baa) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4, 4 > 5 *new_esEs1(Right(vuu3000), Right(vuu31000), he, app(app(ty_@2, bad), bae)) -> new_esEs2(vuu3000, vuu31000, bad, bae) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 *new_esEs1(Left(vuu3000), Left(vuu31000), app(app(ty_@2, hb), hc), gd) -> new_esEs2(vuu3000, vuu31000, hb, hc) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs2(@2(vuu3000, vuu3001), @2(vuu31000, vuu31001), bca, app(ty_Maybe, bdb)) -> new_esEs3(vuu3001, vuu31001, bdb) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 *new_esEs2(@2(vuu3000, vuu3001), @2(vuu31000, vuu31001), app(ty_Maybe, bbh), bah) -> new_esEs3(vuu3000, vuu31000, bbh) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs0(@3(vuu3000, vuu3001, vuu3002), @3(vuu31000, vuu31001, vuu31002), dg, app(ty_Maybe, eh), ce) -> new_esEs3(vuu3001, vuu31001, eh) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 *new_esEs0(@3(vuu3000, vuu3001, vuu3002), @3(vuu31000, vuu31001, vuu31002), dg, cd, app(ty_Maybe, gb)) -> new_esEs3(vuu3002, vuu31002, gb) The graph contains the following edges 1 > 1, 2 > 2, 5 > 3 *new_esEs0(@3(vuu3000, vuu3001, vuu3002), @3(vuu31000, vuu31001, vuu31002), app(ty_Maybe, df), cd, ce) -> new_esEs3(vuu3000, vuu31000, df) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs2(@2(vuu3000, vuu3001), @2(vuu31000, vuu31001), app(app(ty_Either, bbd), bbe), bah) -> new_esEs1(vuu3000, vuu31000, bbd, bbe) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs2(@2(vuu3000, vuu3001), @2(vuu31000, vuu31001), bca, app(app(ty_Either, bcf), bcg)) -> new_esEs1(vuu3001, vuu31001, bcf, bcg) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 *new_esEs0(@3(vuu3000, vuu3001, vuu3002), @3(vuu31000, vuu31001, vuu31002), app(app(ty_Either, db), dc), cd, ce) -> new_esEs1(vuu3000, vuu31000, db, dc) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs0(@3(vuu3000, vuu3001, vuu3002), @3(vuu31000, vuu31001, vuu31002), dg, app(app(ty_Either, ed), ee), ce) -> new_esEs1(vuu3001, vuu31001, ed, ee) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 *new_esEs0(@3(vuu3000, vuu3001, vuu3002), @3(vuu31000, vuu31001, vuu31002), dg, cd, app(app(ty_Either, ff), fg)) -> new_esEs1(vuu3002, vuu31002, ff, fg) The graph contains the following edges 1 > 1, 2 > 2, 5 > 3, 5 > 4 *new_esEs2(@2(vuu3000, vuu3001), @2(vuu31000, vuu31001), bca, app(ty_[], bcb)) -> new_esEs(vuu3001, vuu31001, bcb) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 *new_esEs2(@2(vuu3000, vuu3001), @2(vuu31000, vuu31001), app(ty_[], bag), bah) -> new_esEs(vuu3000, vuu31000, bag) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs2(@2(vuu3000, vuu3001), @2(vuu31000, vuu31001), app(app(app(ty_@3, bba), bbb), bbc), bah) -> new_esEs0(vuu3000, vuu31000, bba, bbb, bbc) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 *new_esEs2(@2(vuu3000, vuu3001), @2(vuu31000, vuu31001), bca, app(app(app(ty_@3, bcc), bcd), bce)) -> new_esEs0(vuu3001, vuu31001, bcc, bcd, bce) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4, 4 > 5 *new_esEs2(@2(vuu3000, vuu3001), @2(vuu31000, vuu31001), bca, app(app(ty_@2, bch), bda)) -> new_esEs2(vuu3001, vuu31001, bch, bda) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 *new_esEs2(@2(vuu3000, vuu3001), @2(vuu31000, vuu31001), app(app(ty_@2, bbf), bbg), bah) -> new_esEs2(vuu3000, vuu31000, bbf, bbg) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs0(@3(vuu3000, vuu3001, vuu3002), @3(vuu31000, vuu31001, vuu31002), app(ty_[], cc), cd, ce) -> new_esEs(vuu3000, vuu31000, cc) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs0(@3(vuu3000, vuu3001, vuu3002), @3(vuu31000, vuu31001, vuu31002), dg, app(ty_[], dh), ce) -> new_esEs(vuu3001, vuu31001, dh) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 *new_esEs0(@3(vuu3000, vuu3001, vuu3002), @3(vuu31000, vuu31001, vuu31002), dg, cd, app(ty_[], fa)) -> new_esEs(vuu3002, vuu31002, fa) The graph contains the following edges 1 > 1, 2 > 2, 5 > 3 *new_esEs(:(vuu3000, vuu3001), :(vuu31000, vuu31001), cb) -> new_esEs(vuu3001, vuu31001, cb) The graph contains the following edges 1 > 1, 2 > 2, 3 >= 3 *new_esEs(:(vuu3000, vuu3001), :(vuu31000, vuu31001), app(ty_[], ba)) -> new_esEs(vuu3000, vuu31000, ba) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs0(@3(vuu3000, vuu3001, vuu3002), @3(vuu31000, vuu31001, vuu31002), dg, app(app(app(ty_@3, ea), eb), ec), ce) -> new_esEs0(vuu3001, vuu31001, ea, eb, ec) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4, 4 > 5 *new_esEs0(@3(vuu3000, vuu3001, vuu3002), @3(vuu31000, vuu31001, vuu31002), dg, cd, app(app(app(ty_@3, fb), fc), fd)) -> new_esEs0(vuu3002, vuu31002, fb, fc, fd) The graph contains the following edges 1 > 1, 2 > 2, 5 > 3, 5 > 4, 5 > 5 *new_esEs0(@3(vuu3000, vuu3001, vuu3002), @3(vuu31000, vuu31001, vuu31002), app(app(app(ty_@3, cf), cg), da), cd, ce) -> new_esEs0(vuu3000, vuu31000, cf, cg, da) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 *new_esEs0(@3(vuu3000, vuu3001, vuu3002), @3(vuu31000, vuu31001, vuu31002), dg, cd, app(app(ty_@2, fh), ga)) -> new_esEs2(vuu3002, vuu31002, fh, ga) The graph contains the following edges 1 > 1, 2 > 2, 5 > 3, 5 > 4 *new_esEs0(@3(vuu3000, vuu3001, vuu3002), @3(vuu31000, vuu31001, vuu31002), dg, app(app(ty_@2, ef), eg), ce) -> new_esEs2(vuu3001, vuu31001, ef, eg) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 *new_esEs0(@3(vuu3000, vuu3001, vuu3002), @3(vuu31000, vuu31001, vuu31002), app(app(ty_@2, dd), de), cd, ce) -> new_esEs2(vuu3000, vuu31000, dd, de) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 ---------------------------------------- (16) YES ---------------------------------------- (17) Obligation: Q DP problem: The TRS P consists of the following rules: new_groupBy(:(vuu30, vuu31), ba) -> new_groupBy(new_groupByZs1(vuu30, vuu31, ba), ba) The TRS R consists of the following rules: new_esEs7(vuu3000, vuu31000, app(ty_Ratio, ge)) -> new_esEs15(vuu3000, vuu31000, ge) new_esEs17(Right(vuu3000), Right(vuu31000), bcb, ty_Float) -> new_esEs11(vuu3000, vuu31000) new_primEqInt(Pos(Zero), Pos(Zero)) -> True new_span2Zs3(vuu18, :(vuu200, vuu201), ea) -> new_span2Zs04(vuu18, vuu200, vuu201, new_esEs4(Just(vuu18), vuu200, ea), ea) new_esEs17(Right(vuu3000), Right(vuu31000), bcb, ty_Integer) -> new_esEs5(vuu3000, vuu31000) new_esEs7(vuu3000, vuu31000, ty_Char) -> new_esEs18(vuu3000, vuu31000) new_esEs25(vuu3000, vuu31000, app(app(app(ty_@3, bfa), bfb), bfc)) -> new_esEs6(vuu3000, vuu31000, bfa, bfb, bfc) new_esEs22(vuu3001, vuu31001, ty_Double) -> new_esEs14(vuu3001, vuu31001) new_esEs17(Left(vuu3000), Left(vuu31000), app(ty_Ratio, bch), bcc) -> new_esEs15(vuu3000, vuu31000, bch) new_esEs9(vuu3002, vuu31002, app(app(ty_@2, bbd), bbe)) -> new_esEs20(vuu3002, vuu31002, bbd, bbe) new_esEs19(False, True) -> False new_esEs19(True, False) -> False new_esEs25(vuu3000, vuu31000, ty_Ordering) -> new_esEs13(vuu3000, vuu31000) new_esEs4(Just(vuu3000), Just(vuu31000), ty_Float) -> new_esEs11(vuu3000, vuu31000) new_esEs26(vuu300, vuu3100, app(ty_Ratio, bca)) -> new_esEs15(vuu300, vuu3100, bca) new_esEs8(vuu3001, vuu31001, ty_Int) -> new_esEs16(vuu3001, vuu31001) new_esEs4(Just(vuu3000), Just(vuu31000), app(app(ty_Either, eh), fa)) -> new_esEs17(vuu3000, vuu31000, eh, fa) new_esEs17(Right(vuu3000), Right(vuu31000), bcb, ty_Ordering) -> new_esEs13(vuu3000, vuu31000) new_esEs9(vuu3002, vuu31002, ty_@0) -> new_esEs10(vuu3002, vuu31002) new_esEs23(vuu3000, vuu31000, ty_Integer) -> new_esEs5(vuu3000, vuu31000) new_esEs8(vuu3001, vuu31001, app(ty_[], hc)) -> new_esEs12(vuu3001, vuu31001, hc) new_esEs12(:(vuu3000, vuu3001), [], bbh) -> False new_esEs12([], :(vuu31000, vuu31001), bbh) -> False new_esEs21(vuu3000, vuu31000, app(app(ty_Either, ca), cb)) -> new_esEs17(vuu3000, vuu31000, ca, cb) new_span2Zs02(vuu3110, vuu3111, False, ba) -> :(vuu3110, vuu3111) new_esEs17(Left(vuu3000), Left(vuu31000), app(app(app(ty_@3, bce), bcf), bcg), bcc) -> new_esEs6(vuu3000, vuu31000, bce, bcf, bcg) new_span2Zs3(vuu18, [], ea) -> [] new_esEs25(vuu3000, vuu31000, ty_Float) -> new_esEs11(vuu3000, vuu31000) new_esEs17(Left(vuu3000), Left(vuu31000), ty_Float, bcc) -> new_esEs11(vuu3000, vuu31000) new_esEs26(vuu300, vuu3100, ty_@0) -> new_esEs10(vuu300, vuu3100) new_esEs17(Right(vuu3000), Right(vuu31000), bcb, app(ty_Ratio, beb)) -> new_esEs15(vuu3000, vuu31000, beb) new_esEs15(:%(vuu3000, vuu3001), :%(vuu31000, vuu31001), bca) -> new_asAs(new_esEs23(vuu3000, vuu31000, bca), new_esEs24(vuu3001, vuu31001, bca)) new_esEs4(Just(vuu3000), Just(vuu31000), app(app(app(ty_@3, ed), ee), ef)) -> new_esEs6(vuu3000, vuu31000, ed, ee, ef) new_esEs17(Left(vuu3000), Left(vuu31000), ty_Ordering, bcc) -> new_esEs13(vuu3000, vuu31000) new_esEs12(:(vuu3000, vuu3001), :(vuu31000, vuu31001), bbh) -> new_asAs(new_esEs25(vuu3000, vuu31000, bbh), new_esEs12(vuu3001, vuu31001, bbh)) new_asAs(True, vuu27) -> vuu27 new_esEs17(Right(vuu3000), Right(vuu31000), bcb, ty_Bool) -> new_esEs19(vuu3000, vuu31000) new_esEs14(Double(vuu3000, vuu3001), Double(vuu31000, vuu31001)) -> new_esEs16(new_sr(vuu3000, vuu31001), new_sr(vuu3001, vuu31000)) new_groupByZs10(vuu18, vuu19, vuu20, True, ea) -> new_span2Zs3(vuu18, vuu20, ea) new_esEs21(vuu3000, vuu31000, ty_@0) -> new_esEs10(vuu3000, vuu31000) new_esEs8(vuu3001, vuu31001, app(app(app(ty_@3, hd), he), hf)) -> new_esEs6(vuu3001, vuu31001, hd, he, hf) new_esEs26(vuu300, vuu3100, app(app(ty_@2, bb), bc)) -> new_esEs20(vuu300, vuu3100, bb, bc) new_esEs17(Left(vuu3000), Left(vuu31000), ty_Integer, bcc) -> new_esEs5(vuu3000, vuu31000) new_esEs8(vuu3001, vuu31001, ty_Ordering) -> new_esEs13(vuu3001, vuu31001) new_esEs21(vuu3000, vuu31000, ty_Integer) -> new_esEs5(vuu3000, vuu31000) new_primEqInt(Pos(Succ(vuu30000)), Pos(Zero)) -> False new_primEqInt(Pos(Zero), Pos(Succ(vuu310000))) -> False new_esEs7(vuu3000, vuu31000, app(ty_Maybe, hb)) -> new_esEs4(vuu3000, vuu31000, hb) new_esEs21(vuu3000, vuu31000, ty_Char) -> new_esEs18(vuu3000, vuu31000) new_esEs4(Just(vuu3000), Just(vuu31000), ty_Ordering) -> new_esEs13(vuu3000, vuu31000) new_esEs4(Just(vuu3000), Just(vuu31000), ty_Integer) -> new_esEs5(vuu3000, vuu31000) new_esEs8(vuu3001, vuu31001, ty_Integer) -> new_esEs5(vuu3001, vuu31001) new_esEs6(@3(vuu3000, vuu3001, vuu3002), @3(vuu31000, vuu31001, vuu31002), ff, fg, fh) -> new_asAs(new_esEs7(vuu3000, vuu31000, ff), new_asAs(new_esEs8(vuu3001, vuu31001, fg), new_esEs9(vuu3002, vuu31002, fh))) new_esEs21(vuu3000, vuu31000, app(ty_Ratio, bh)) -> new_esEs15(vuu3000, vuu31000, bh) new_esEs26(vuu300, vuu3100, ty_Char) -> new_esEs18(vuu300, vuu3100) new_esEs22(vuu3001, vuu31001, app(ty_Maybe, dh)) -> new_esEs4(vuu3001, vuu31001, dh) new_esEs4(Just(vuu3000), Just(vuu31000), ty_Bool) -> new_esEs19(vuu3000, vuu31000) new_esEs7(vuu3000, vuu31000, app(app(ty_@2, gh), ha)) -> new_esEs20(vuu3000, vuu31000, gh, ha) new_primEqNat0(Succ(vuu30000), Succ(vuu310000)) -> new_primEqNat0(vuu30000, vuu310000) new_esEs21(vuu3000, vuu31000, ty_Ordering) -> new_esEs13(vuu3000, vuu31000) new_esEs21(vuu3000, vuu31000, ty_Bool) -> new_esEs19(vuu3000, vuu31000) new_esEs17(Left(vuu3000), Left(vuu31000), ty_Bool, bcc) -> new_esEs19(vuu3000, vuu31000) new_esEs21(vuu3000, vuu31000, app(app(app(ty_@3, be), bf), bg)) -> new_esEs6(vuu3000, vuu31000, be, bf, bg) new_primMulNat0(Zero, Zero) -> Zero new_esEs8(vuu3001, vuu31001, ty_Double) -> new_esEs14(vuu3001, vuu31001) new_esEs17(Left(vuu3000), Left(vuu31000), ty_@0, bcc) -> new_esEs10(vuu3000, vuu31000) new_esEs4(Just(vuu3000), Just(vuu31000), ty_Int) -> new_esEs16(vuu3000, vuu31000) new_groupByZs1(Just(vuu300), :(Just(vuu3100), vuu311), ba) -> new_groupByZs10(vuu300, vuu3100, vuu311, new_esEs26(vuu300, vuu3100, ba), ba) new_esEs4(Nothing, Nothing, eb) -> True new_esEs4(Just(vuu3000), Just(vuu31000), app(ty_[], ec)) -> new_esEs12(vuu3000, vuu31000, ec) new_esEs8(vuu3001, vuu31001, app(app(ty_Either, hh), baa)) -> new_esEs17(vuu3001, vuu31001, hh, baa) new_esEs22(vuu3001, vuu31001, app(app(ty_@2, df), dg)) -> new_esEs20(vuu3001, vuu31001, df, dg) new_esEs17(Right(vuu3000), Right(vuu31000), bcb, app(ty_Maybe, beg)) -> new_esEs4(vuu3000, vuu31000, beg) new_primEqNat0(Succ(vuu30000), Zero) -> False new_primEqNat0(Zero, Succ(vuu310000)) -> False new_esEs4(Nothing, Just(vuu31000), eb) -> False new_esEs4(Just(vuu3000), Nothing, eb) -> False new_esEs22(vuu3001, vuu31001, ty_@0) -> new_esEs10(vuu3001, vuu31001) new_esEs18(Char(vuu3000), Char(vuu31000)) -> new_primEqNat0(vuu3000, vuu31000) new_esEs8(vuu3001, vuu31001, ty_Float) -> new_esEs11(vuu3001, vuu31001) new_span2Ys03(vuu9, vuu110, vuu111, True, bbg) -> new_span2Ys04(vuu9, vuu110, vuu111, new_span2Ys3(vuu9, vuu111, bbg), new_span2Zs3(vuu9, vuu111, bbg), bbg) new_esEs21(vuu3000, vuu31000, ty_Float) -> new_esEs11(vuu3000, vuu31000) new_esEs9(vuu3002, vuu31002, ty_Ordering) -> new_esEs13(vuu3002, vuu31002) new_span2Zs02(vuu3110, vuu3111, True, ba) -> new_span2Zs03(vuu3110, vuu3111, new_span2Ys2(vuu3111, ba), new_span2Zs2(vuu3111, ba), ba) new_esEs4(Just(vuu3000), Just(vuu31000), app(app(ty_@2, fb), fc)) -> new_esEs20(vuu3000, vuu31000, fb, fc) new_esEs7(vuu3000, vuu31000, ty_Double) -> new_esEs14(vuu3000, vuu31000) new_esEs21(vuu3000, vuu31000, app(app(ty_@2, cc), cd)) -> new_esEs20(vuu3000, vuu31000, cc, cd) new_esEs13(LT, LT) -> True new_esEs11(Float(vuu3000, vuu3001), Float(vuu31000, vuu31001)) -> new_esEs16(new_sr(vuu3000, vuu31001), new_sr(vuu3001, vuu31000)) new_esEs22(vuu3001, vuu31001, ty_Ordering) -> new_esEs13(vuu3001, vuu31001) new_esEs26(vuu300, vuu3100, ty_Float) -> new_esEs11(vuu300, vuu3100) new_esEs17(Left(vuu3000), Left(vuu31000), app(ty_Maybe, bde), bcc) -> new_esEs4(vuu3000, vuu31000, bde) new_esEs22(vuu3001, vuu31001, ty_Int) -> new_esEs16(vuu3001, vuu31001) new_esEs22(vuu3001, vuu31001, app(ty_[], cf)) -> new_esEs12(vuu3001, vuu31001, cf) new_esEs7(vuu3000, vuu31000, ty_Float) -> new_esEs11(vuu3000, vuu31000) new_span2Zs04(vuu18, vuu200, vuu201, False, ea) -> :(vuu200, vuu201) new_esEs7(vuu3000, vuu31000, ty_Integer) -> new_esEs5(vuu3000, vuu31000) new_span2Zs2(:(vuu3110, vuu3111), ba) -> new_span2Zs02(vuu3110, vuu3111, new_esEs4(Nothing, vuu3110, ba), ba) new_primEqInt(Neg(Succ(vuu30000)), Neg(Zero)) -> False new_primEqInt(Neg(Zero), Neg(Succ(vuu310000))) -> False new_esEs19(False, False) -> True new_esEs9(vuu3002, vuu31002, ty_Bool) -> new_esEs19(vuu3002, vuu31002) new_primEqInt(Pos(Succ(vuu30000)), Pos(Succ(vuu310000))) -> new_primEqNat0(vuu30000, vuu310000) new_esEs17(Left(vuu3000), Right(vuu31000), bcb, bcc) -> False new_esEs17(Right(vuu3000), Left(vuu31000), bcb, bcc) -> False new_esEs26(vuu300, vuu3100, ty_Double) -> new_esEs14(vuu300, vuu3100) new_sr(Pos(vuu30000), Neg(vuu310010)) -> Neg(new_primMulNat0(vuu30000, vuu310010)) new_sr(Neg(vuu30000), Pos(vuu310010)) -> Neg(new_primMulNat0(vuu30000, vuu310010)) new_span2Ys03(vuu9, vuu110, vuu111, False, bbg) -> [] new_esEs25(vuu3000, vuu31000, ty_Integer) -> new_esEs5(vuu3000, vuu31000) new_primPlusNat1(Succ(vuu4000), Succ(vuu31001000)) -> Succ(Succ(new_primPlusNat1(vuu4000, vuu31001000))) new_primEqInt(Pos(Succ(vuu30000)), Neg(vuu31000)) -> False new_primEqInt(Neg(Succ(vuu30000)), Pos(vuu31000)) -> False new_esEs7(vuu3000, vuu31000, app(app(app(ty_@3, gb), gc), gd)) -> new_esEs6(vuu3000, vuu31000, gb, gc, gd) new_esEs25(vuu3000, vuu31000, app(ty_Ratio, bfd)) -> new_esEs15(vuu3000, vuu31000, bfd) new_esEs9(vuu3002, vuu31002, ty_Char) -> new_esEs18(vuu3002, vuu31002) new_esEs13(LT, GT) -> False new_esEs13(GT, LT) -> False new_esEs9(vuu3002, vuu31002, app(app(ty_Either, bbb), bbc)) -> new_esEs17(vuu3002, vuu31002, bbb, bbc) new_esEs22(vuu3001, vuu31001, ty_Char) -> new_esEs18(vuu3001, vuu31001) new_esEs9(vuu3002, vuu31002, ty_Int) -> new_esEs16(vuu3002, vuu31002) new_esEs17(Left(vuu3000), Left(vuu31000), ty_Double, bcc) -> new_esEs14(vuu3000, vuu31000) new_esEs22(vuu3001, vuu31001, app(app(ty_Either, dd), de)) -> new_esEs17(vuu3001, vuu31001, dd, de) new_esEs8(vuu3001, vuu31001, ty_@0) -> new_esEs10(vuu3001, vuu31001) new_groupByZs1(Nothing, :(Just(vuu3100), vuu311), ba) -> :(Just(vuu3100), vuu311) new_esEs9(vuu3002, vuu31002, app(ty_[], bae)) -> new_esEs12(vuu3002, vuu31002, bae) new_esEs8(vuu3001, vuu31001, app(app(ty_@2, bab), bac)) -> new_esEs20(vuu3001, vuu31001, bab, bac) new_esEs24(vuu3001, vuu31001, ty_Integer) -> new_esEs5(vuu3001, vuu31001) new_esEs26(vuu300, vuu3100, app(app(app(ty_@3, ff), fg), fh)) -> new_esEs6(vuu300, vuu3100, ff, fg, fh) new_esEs8(vuu3001, vuu31001, ty_Char) -> new_esEs18(vuu3001, vuu31001) new_span2Zs03(vuu3110, vuu3111, vuu35, vuu34, ba) -> vuu34 new_span2Ys2([], ba) -> [] new_esEs20(@2(vuu3000, vuu3001), @2(vuu31000, vuu31001), bb, bc) -> new_asAs(new_esEs21(vuu3000, vuu31000, bb), new_esEs22(vuu3001, vuu31001, bc)) new_sr(Neg(vuu30000), Neg(vuu310010)) -> Pos(new_primMulNat0(vuu30000, vuu310010)) new_esEs22(vuu3001, vuu31001, ty_Bool) -> new_esEs19(vuu3001, vuu31001) new_esEs4(Just(vuu3000), Just(vuu31000), ty_Double) -> new_esEs14(vuu3000, vuu31000) new_esEs17(Right(vuu3000), Right(vuu31000), bcb, app(app(app(ty_@3, bdg), bdh), bea)) -> new_esEs6(vuu3000, vuu31000, bdg, bdh, bea) new_esEs26(vuu300, vuu3100, ty_Ordering) -> new_esEs13(vuu300, vuu3100) new_esEs13(GT, GT) -> True new_esEs21(vuu3000, vuu31000, app(ty_[], bd)) -> new_esEs12(vuu3000, vuu31000, bd) new_esEs21(vuu3000, vuu31000, ty_Double) -> new_esEs14(vuu3000, vuu31000) new_primEqInt(Pos(Zero), Neg(Succ(vuu310000))) -> False new_primEqInt(Neg(Zero), Pos(Succ(vuu310000))) -> False new_esEs7(vuu3000, vuu31000, ty_Int) -> new_esEs16(vuu3000, vuu31000) new_groupByZs1(Nothing, :(Nothing, vuu311), ba) -> new_span2Zs2(vuu311, ba) new_esEs5(Integer(vuu3000), Integer(vuu31000)) -> new_primEqInt(vuu3000, vuu31000) new_esEs10(@0, @0) -> True new_esEs7(vuu3000, vuu31000, app(ty_[], ga)) -> new_esEs12(vuu3000, vuu31000, ga) new_esEs25(vuu3000, vuu31000, ty_Double) -> new_esEs14(vuu3000, vuu31000) new_esEs22(vuu3001, vuu31001, ty_Float) -> new_esEs11(vuu3001, vuu31001) new_span2Ys2(:(vuu3110, vuu3111), ba) -> new_span2Ys02(vuu3110, vuu3111, new_esEs4(Nothing, vuu3110, ba), ba) new_esEs17(Right(vuu3000), Right(vuu31000), bcb, app(ty_[], bdf)) -> new_esEs12(vuu3000, vuu31000, bdf) new_primEqInt(Neg(Succ(vuu30000)), Neg(Succ(vuu310000))) -> new_primEqNat0(vuu30000, vuu310000) new_esEs26(vuu300, vuu3100, ty_Integer) -> new_esEs5(vuu300, vuu3100) new_esEs21(vuu3000, vuu31000, ty_Int) -> new_esEs16(vuu3000, vuu31000) new_esEs17(Left(vuu3000), Left(vuu31000), ty_Int, bcc) -> new_esEs16(vuu3000, vuu31000) new_primPlusNat0(Succ(vuu400), vuu3100100) -> Succ(Succ(new_primPlusNat1(vuu400, vuu3100100))) new_esEs17(Left(vuu3000), Left(vuu31000), app(ty_[], bcd), bcc) -> new_esEs12(vuu3000, vuu31000, bcd) new_esEs17(Left(vuu3000), Left(vuu31000), app(app(ty_@2, bdc), bdd), bcc) -> new_esEs20(vuu3000, vuu31000, bdc, bdd) new_esEs17(Right(vuu3000), Right(vuu31000), bcb, ty_Double) -> new_esEs14(vuu3000, vuu31000) new_esEs13(EQ, GT) -> False new_esEs13(GT, EQ) -> False new_esEs17(Right(vuu3000), Right(vuu31000), bcb, ty_@0) -> new_esEs10(vuu3000, vuu31000) new_esEs17(Left(vuu3000), Left(vuu31000), app(app(ty_Either, bda), bdb), bcc) -> new_esEs17(vuu3000, vuu31000, bda, bdb) new_esEs23(vuu3000, vuu31000, ty_Int) -> new_esEs16(vuu3000, vuu31000) new_esEs4(Just(vuu3000), Just(vuu31000), app(ty_Ratio, eg)) -> new_esEs15(vuu3000, vuu31000, eg) new_primPlusNat1(Zero, Zero) -> Zero new_primMulNat0(Succ(vuu300000), Zero) -> Zero new_primMulNat0(Zero, Succ(vuu3100100)) -> Zero new_span2Ys02(vuu3110, vuu3111, True, ba) -> new_span2Ys01(vuu3110, vuu3111, new_span2Ys2(vuu3111, ba), new_span2Zs2(vuu3111, ba), ba) new_sr(Pos(vuu30000), Pos(vuu310010)) -> Pos(new_primMulNat0(vuu30000, vuu310010)) new_groupByZs10(vuu18, vuu19, vuu20, False, ea) -> :(Just(vuu19), vuu20) new_primPlusNat0(Zero, vuu3100100) -> Succ(vuu3100100) new_esEs26(vuu300, vuu3100, app(app(ty_Either, bcb), bcc)) -> new_esEs17(vuu300, vuu3100, bcb, bcc) new_span2Ys01(vuu3110, vuu3111, vuu33, vuu32, ba) -> :(vuu3110, vuu33) new_esEs4(Just(vuu3000), Just(vuu31000), ty_Char) -> new_esEs18(vuu3000, vuu31000) new_esEs26(vuu300, vuu3100, app(ty_[], bbh)) -> new_esEs12(vuu300, vuu3100, bbh) new_esEs8(vuu3001, vuu31001, ty_Bool) -> new_esEs19(vuu3001, vuu31001) new_esEs8(vuu3001, vuu31001, app(ty_Ratio, hg)) -> new_esEs15(vuu3001, vuu31001, hg) new_esEs25(vuu3000, vuu31000, app(ty_Maybe, bga)) -> new_esEs4(vuu3000, vuu31000, bga) new_esEs26(vuu300, vuu3100, ty_Int) -> new_esEs16(vuu300, vuu3100) new_esEs9(vuu3002, vuu31002, ty_Double) -> new_esEs14(vuu3002, vuu31002) new_esEs24(vuu3001, vuu31001, ty_Int) -> new_esEs16(vuu3001, vuu31001) new_esEs17(Left(vuu3000), Left(vuu31000), ty_Char, bcc) -> new_esEs18(vuu3000, vuu31000) new_esEs16(vuu300, vuu3100) -> new_primEqInt(vuu300, vuu3100) new_esEs26(vuu300, vuu3100, ty_Bool) -> new_esEs19(vuu300, vuu3100) new_esEs7(vuu3000, vuu31000, app(app(ty_Either, gf), gg)) -> new_esEs17(vuu3000, vuu31000, gf, gg) new_esEs9(vuu3002, vuu31002, ty_Float) -> new_esEs11(vuu3002, vuu31002) new_primEqInt(Neg(Zero), Neg(Zero)) -> True new_esEs9(vuu3002, vuu31002, ty_Integer) -> new_esEs5(vuu3002, vuu31002) new_primMulNat0(Succ(vuu300000), Succ(vuu3100100)) -> new_primPlusNat0(new_primMulNat0(vuu300000, Succ(vuu3100100)), vuu3100100) new_esEs7(vuu3000, vuu31000, ty_Bool) -> new_esEs19(vuu3000, vuu31000) new_esEs4(Just(vuu3000), Just(vuu31000), ty_@0) -> new_esEs10(vuu3000, vuu31000) new_esEs22(vuu3001, vuu31001, app(ty_Ratio, dc)) -> new_esEs15(vuu3001, vuu31001, dc) new_esEs9(vuu3002, vuu31002, app(ty_Maybe, bbf)) -> new_esEs4(vuu3002, vuu31002, bbf) new_esEs17(Right(vuu3000), Right(vuu31000), bcb, ty_Int) -> new_esEs16(vuu3000, vuu31000) new_span2Ys04(vuu9, vuu110, vuu111, vuu37, vuu36, bbg) -> :(vuu110, vuu37) new_esEs22(vuu3001, vuu31001, app(app(app(ty_@3, cg), da), db)) -> new_esEs6(vuu3001, vuu31001, cg, da, db) new_primPlusNat1(Succ(vuu4000), Zero) -> Succ(vuu4000) new_primPlusNat1(Zero, Succ(vuu31001000)) -> Succ(vuu31001000) new_esEs25(vuu3000, vuu31000, ty_Int) -> new_esEs16(vuu3000, vuu31000) new_groupByZs1(vuu30, [], ba) -> [] new_esEs9(vuu3002, vuu31002, app(app(app(ty_@3, baf), bag), bah)) -> new_esEs6(vuu3002, vuu31002, baf, bag, bah) new_span2Zs04(vuu18, vuu200, vuu201, True, ea) -> new_span2Zs01(vuu18, vuu200, vuu201, new_span2Ys3(vuu18, vuu201, ea), new_span2Zs3(vuu18, vuu201, ea), ea) new_esEs25(vuu3000, vuu31000, app(ty_[], beh)) -> new_esEs12(vuu3000, vuu31000, beh) new_esEs25(vuu3000, vuu31000, app(app(ty_@2, bfg), bfh)) -> new_esEs20(vuu3000, vuu31000, bfg, bfh) new_esEs17(Right(vuu3000), Right(vuu31000), bcb, ty_Char) -> new_esEs18(vuu3000, vuu31000) new_esEs12([], [], bbh) -> True new_span2Zs01(vuu18, vuu200, vuu201, vuu39, vuu38, ea) -> vuu38 new_esEs17(Right(vuu3000), Right(vuu31000), bcb, app(app(ty_Either, bec), bed)) -> new_esEs17(vuu3000, vuu31000, bec, bed) new_primEqInt(Pos(Zero), Neg(Zero)) -> True new_primEqInt(Neg(Zero), Pos(Zero)) -> True new_span2Ys02(vuu3110, vuu3111, False, ba) -> [] new_groupByZs1(Just(vuu300), :(Nothing, vuu311), ba) -> :(Nothing, vuu311) new_span2Ys3(vuu9, [], bbg) -> [] new_esEs22(vuu3001, vuu31001, ty_Integer) -> new_esEs5(vuu3001, vuu31001) new_esEs26(vuu300, vuu3100, app(ty_Maybe, eb)) -> new_esEs4(vuu300, vuu3100, eb) new_esEs25(vuu3000, vuu31000, ty_@0) -> new_esEs10(vuu3000, vuu31000) new_primEqNat0(Zero, Zero) -> True new_esEs7(vuu3000, vuu31000, ty_Ordering) -> new_esEs13(vuu3000, vuu31000) new_esEs21(vuu3000, vuu31000, app(ty_Maybe, ce)) -> new_esEs4(vuu3000, vuu31000, ce) new_esEs9(vuu3002, vuu31002, app(ty_Ratio, bba)) -> new_esEs15(vuu3002, vuu31002, bba) new_esEs25(vuu3000, vuu31000, app(app(ty_Either, bfe), bff)) -> new_esEs17(vuu3000, vuu31000, bfe, bff) new_esEs25(vuu3000, vuu31000, ty_Char) -> new_esEs18(vuu3000, vuu31000) new_esEs13(EQ, EQ) -> True new_asAs(False, vuu27) -> False new_span2Ys3(vuu9, :(vuu110, vuu111), bbg) -> new_span2Ys03(vuu9, vuu110, vuu111, new_esEs4(Just(vuu9), vuu110, bbg), bbg) new_esEs13(LT, EQ) -> False new_esEs13(EQ, LT) -> False new_esEs8(vuu3001, vuu31001, app(ty_Maybe, bad)) -> new_esEs4(vuu3001, vuu31001, bad) new_esEs4(Just(vuu3000), Just(vuu31000), app(ty_Maybe, fd)) -> new_esEs4(vuu3000, vuu31000, fd) new_esEs17(Right(vuu3000), Right(vuu31000), bcb, app(app(ty_@2, bee), bef)) -> new_esEs20(vuu3000, vuu31000, bee, bef) new_esEs7(vuu3000, vuu31000, ty_@0) -> new_esEs10(vuu3000, vuu31000) new_esEs19(True, True) -> True new_esEs25(vuu3000, vuu31000, ty_Bool) -> new_esEs19(vuu3000, vuu31000) new_span2Zs2([], ba) -> [] The set Q consists of the following terms: new_esEs7(x0, x1, ty_Bool) new_esEs22(x0, x1, app(ty_Maybe, x2)) new_esEs4(Just(x0), Just(x1), ty_Double) new_span2Ys03(x0, x1, x2, True, x3) new_esEs25(x0, x1, app(app(ty_Either, x2), x3)) new_esEs8(x0, x1, app(ty_[], x2)) new_esEs13(EQ, EQ) new_esEs22(x0, x1, ty_Double) new_esEs22(x0, x1, ty_Float) new_span2Ys02(x0, x1, True, x2) new_primPlusNat1(Succ(x0), Succ(x1)) new_esEs26(x0, x1, ty_Ordering) new_esEs18(Char(x0), Char(x1)) new_esEs8(x0, x1, ty_Integer) new_esEs26(x0, x1, app(ty_[], x2)) new_esEs9(x0, x1, app(ty_Maybe, x2)) new_span2Zs02(x0, x1, False, x2) new_esEs4(Just(x0), Just(x1), app(ty_[], x2)) new_esEs25(x0, x1, app(ty_[], x2)) new_esEs4(Just(x0), Just(x1), app(app(app(ty_@3, x2), x3), x4)) new_esEs26(x0, x1, ty_Double) new_esEs4(Nothing, Just(x0), x1) new_primMulNat0(Zero, Zero) new_primPlusNat1(Zero, Zero) new_esEs7(x0, x1, app(app(ty_Either, x2), x3)) new_primEqInt(Neg(Zero), Neg(Succ(x0))) new_span2Zs04(x0, x1, x2, True, x3) new_esEs12([], :(x0, x1), x2) new_groupByZs1(x0, [], x1) new_esEs7(x0, x1, app(app(ty_@2, x2), x3)) new_esEs7(x0, x1, ty_@0) new_esEs19(False, False) new_primEqInt(Pos(Zero), Pos(Succ(x0))) new_esEs9(x0, x1, app(ty_[], x2)) new_primEqInt(Pos(Zero), Pos(Zero)) new_groupByZs1(Nothing, :(Nothing, x0), x1) new_esEs17(Left(x0), Left(x1), ty_Ordering, x2) new_esEs8(x0, x1, ty_Bool) new_esEs17(Right(x0), Right(x1), x2, ty_Double) new_span2Zs03(x0, x1, x2, x3, x4) new_esEs23(x0, x1, ty_Integer) new_esEs7(x0, x1, app(ty_Maybe, x2)) new_primEqNat0(Zero, Succ(x0)) new_esEs17(Left(x0), Left(x1), ty_Int, x2) new_esEs13(LT, LT) new_sr(Neg(x0), Neg(x1)) new_esEs6(@3(x0, x1, x2), @3(x3, x4, x5), x6, x7, x8) new_span2Ys2([], x0) new_esEs9(x0, x1, ty_Double) new_esEs17(Left(x0), Left(x1), ty_Double, x2) new_esEs16(x0, x1) new_primEqInt(Neg(Zero), Neg(Zero)) new_esEs25(x0, x1, ty_Bool) new_esEs17(Left(x0), Left(x1), ty_Char, x2) new_esEs5(Integer(x0), Integer(x1)) new_esEs4(Just(x0), Nothing, x1) new_esEs22(x0, x1, app(app(ty_Either, x2), x3)) new_esEs4(Just(x0), Just(x1), app(app(ty_@2, x2), x3)) new_esEs26(x0, x1, ty_Float) new_esEs4(Just(x0), Just(x1), ty_Char) new_span2Zs3(x0, [], x1) new_esEs24(x0, x1, ty_Integer) new_esEs8(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs26(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_primPlusNat0(Zero, x0) new_esEs21(x0, x1, app(ty_Maybe, x2)) new_esEs26(x0, x1, ty_Char) new_esEs24(x0, x1, ty_Int) new_esEs25(x0, x1, ty_Ordering) new_esEs21(x0, x1, ty_Bool) new_esEs9(x0, x1, ty_Float) new_groupByZs10(x0, x1, x2, False, x3) new_esEs17(Right(x0), Right(x1), x2, ty_Int) new_esEs9(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs22(x0, x1, ty_Integer) new_esEs4(Just(x0), Just(x1), ty_Int) new_sr(Pos(x0), Pos(x1)) new_primPlusNat1(Zero, Succ(x0)) new_esEs17(Left(x0), Left(x1), app(ty_Ratio, x2), x3) new_esEs26(x0, x1, ty_Int) new_span2Ys04(x0, x1, x2, x3, x4, x5) new_esEs21(x0, x1, ty_Float) new_esEs17(Left(x0), Left(x1), ty_Bool, x2) new_span2Zs3(x0, :(x1, x2), x3) new_groupByZs10(x0, x1, x2, True, x3) new_esEs17(Right(x0), Right(x1), x2, ty_@0) new_esEs17(Left(x0), Left(x1), app(ty_[], x2), x3) new_esEs8(x0, x1, app(ty_Ratio, x2)) new_primEqInt(Pos(Succ(x0)), Pos(Zero)) new_primEqInt(Pos(Zero), Neg(Zero)) new_primEqInt(Neg(Zero), Pos(Zero)) new_esEs21(x0, x1, ty_@0) new_esEs4(Just(x0), Just(x1), app(ty_Maybe, x2)) new_esEs20(@2(x0, x1), @2(x2, x3), x4, x5) new_primEqInt(Pos(Zero), Neg(Succ(x0))) new_primEqInt(Neg(Zero), Pos(Succ(x0))) new_esEs17(Left(x0), Left(x1), app(app(ty_Either, x2), x3), x4) new_esEs21(x0, x1, ty_Double) new_esEs21(x0, x1, ty_Char) new_esEs17(Right(x0), Right(x1), x2, app(app(ty_@2, x3), x4)) new_esEs12(:(x0, x1), [], x2) new_esEs25(x0, x1, ty_Integer) new_esEs22(x0, x1, ty_Ordering) new_primEqInt(Pos(Succ(x0)), Neg(x1)) new_primEqInt(Neg(Succ(x0)), Pos(x1)) new_esEs8(x0, x1, app(ty_Maybe, x2)) new_esEs17(Right(x0), Right(x1), x2, app(ty_Maybe, x3)) new_primMulNat0(Succ(x0), Zero) new_span2Zs2(:(x0, x1), x2) new_esEs17(Right(x0), Right(x1), x2, ty_Float) new_esEs9(x0, x1, app(app(ty_@2, x2), x3)) new_esEs19(True, True) new_span2Ys01(x0, x1, x2, x3, x4) new_esEs26(x0, x1, ty_Bool) new_esEs8(x0, x1, app(app(ty_Either, x2), x3)) new_esEs4(Just(x0), Just(x1), ty_Float) new_esEs26(x0, x1, app(ty_Maybe, x2)) new_esEs17(Left(x0), Left(x1), app(app(app(ty_@3, x2), x3), x4), x5) new_esEs21(x0, x1, ty_Int) new_esEs21(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs7(x0, x1, ty_Float) new_span2Ys02(x0, x1, False, x2) new_esEs17(Left(x0), Left(x1), ty_Integer, x2) new_esEs22(x0, x1, ty_@0) new_esEs4(Nothing, Nothing, x0) new_esEs26(x0, x1, ty_@0) new_span2Zs2([], x0) new_esEs8(x0, x1, ty_Int) new_esEs8(x0, x1, app(app(ty_@2, x2), x3)) new_esEs4(Just(x0), Just(x1), ty_@0) new_esEs25(x0, x1, ty_Char) new_esEs22(x0, x1, ty_Bool) new_span2Ys2(:(x0, x1), x2) new_primMulNat0(Zero, Succ(x0)) new_esEs26(x0, x1, app(app(ty_@2, x2), x3)) new_esEs17(Right(x0), Right(x1), x2, app(ty_Ratio, x3)) new_span2Zs02(x0, x1, True, x2) new_esEs25(x0, x1, ty_Int) new_esEs13(LT, GT) new_esEs13(GT, LT) new_esEs7(x0, x1, ty_Ordering) new_span2Ys03(x0, x1, x2, False, x3) new_esEs7(x0, x1, ty_Int) new_esEs17(Right(x0), Right(x1), x2, ty_Char) new_esEs8(x0, x1, ty_Ordering) new_primEqInt(Pos(Succ(x0)), Pos(Succ(x1))) new_esEs9(x0, x1, ty_@0) new_span2Zs04(x0, x1, x2, False, x3) new_esEs9(x0, x1, app(ty_Ratio, x2)) new_esEs19(False, True) new_esEs19(True, False) new_esEs9(x0, x1, ty_Int) new_esEs12(:(x0, x1), :(x2, x3), x4) new_esEs17(Right(x0), Right(x1), x2, app(ty_[], x3)) new_esEs23(x0, x1, ty_Int) new_primEqInt(Neg(Succ(x0)), Neg(Succ(x1))) new_esEs22(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs17(Right(x0), Right(x1), x2, ty_Bool) new_span2Zs01(x0, x1, x2, x3, x4, x5) new_esEs7(x0, x1, ty_Char) new_primMulNat0(Succ(x0), Succ(x1)) new_esEs26(x0, x1, app(ty_Ratio, x2)) new_span2Ys3(x0, [], x1) new_esEs21(x0, x1, app(ty_[], x2)) new_primPlusNat0(Succ(x0), x1) new_esEs4(Just(x0), Just(x1), ty_Bool) new_esEs7(x0, x1, ty_Double) new_esEs9(x0, x1, ty_Char) new_esEs21(x0, x1, app(app(ty_Either, x2), x3)) new_esEs8(x0, x1, ty_Double) new_esEs26(x0, x1, ty_Integer) new_esEs22(x0, x1, app(app(ty_@2, x2), x3)) new_esEs25(x0, x1, app(ty_Ratio, x2)) new_esEs8(x0, x1, ty_Char) new_esEs22(x0, x1, ty_Char) new_primEqNat0(Zero, Zero) new_esEs21(x0, x1, app(app(ty_@2, x2), x3)) new_esEs17(Left(x0), Left(x1), app(ty_Maybe, x2), x3) new_esEs21(x0, x1, app(ty_Ratio, x2)) new_esEs9(x0, x1, ty_Ordering) new_esEs13(EQ, GT) new_esEs13(GT, EQ) new_esEs17(Left(x0), Left(x1), ty_@0, x2) new_esEs21(x0, x1, ty_Ordering) new_esEs25(x0, x1, ty_@0) new_esEs25(x0, x1, ty_Double) new_esEs4(Just(x0), Just(x1), app(app(ty_Either, x2), x3)) new_asAs(False, x0) new_esEs8(x0, x1, ty_@0) new_sr(Pos(x0), Neg(x1)) new_sr(Neg(x0), Pos(x1)) new_span2Ys3(x0, :(x1, x2), x3) new_asAs(True, x0) new_primEqInt(Neg(Succ(x0)), Neg(Zero)) new_groupByZs1(Just(x0), :(Just(x1), x2), x3) new_esEs17(Left(x0), Left(x1), ty_Float, x2) new_esEs25(x0, x1, app(app(ty_@2, x2), x3)) new_esEs21(x0, x1, ty_Integer) new_esEs9(x0, x1, ty_Bool) new_primPlusNat1(Succ(x0), Zero) new_esEs25(x0, x1, app(ty_Maybe, x2)) new_esEs11(Float(x0, x1), Float(x2, x3)) new_esEs22(x0, x1, app(ty_[], x2)) new_esEs17(Left(x0), Left(x1), app(app(ty_@2, x2), x3), x4) new_esEs17(Right(x0), Right(x1), x2, app(app(app(ty_@3, x3), x4), x5)) new_esEs4(Just(x0), Just(x1), app(ty_Ratio, x2)) new_esEs9(x0, x1, ty_Integer) new_esEs9(x0, x1, app(app(ty_Either, x2), x3)) new_primEqNat0(Succ(x0), Zero) new_esEs22(x0, x1, app(ty_Ratio, x2)) new_esEs8(x0, x1, ty_Float) new_esEs25(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs15(:%(x0, x1), :%(x2, x3), x4) new_esEs12([], [], x0) new_esEs7(x0, x1, ty_Integer) new_esEs10(@0, @0) new_esEs4(Just(x0), Just(x1), ty_Integer) new_esEs26(x0, x1, app(app(ty_Either, x2), x3)) new_esEs4(Just(x0), Just(x1), ty_Ordering) new_esEs7(x0, x1, app(ty_Ratio, x2)) new_esEs17(Right(x0), Right(x1), x2, app(app(ty_Either, x3), x4)) new_esEs17(Right(x0), Right(x1), x2, ty_Integer) new_esEs17(Right(x0), Right(x1), x2, ty_Ordering) new_esEs7(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs17(Left(x0), Right(x1), x2, x3) new_esEs17(Right(x0), Left(x1), x2, x3) new_esEs13(GT, GT) new_groupByZs1(Nothing, :(Just(x0), x1), x2) new_esEs13(LT, EQ) new_esEs13(EQ, LT) new_primEqNat0(Succ(x0), Succ(x1)) new_esEs22(x0, x1, ty_Int) new_groupByZs1(Just(x0), :(Nothing, x1), x2) new_esEs7(x0, x1, app(ty_[], x2)) new_esEs25(x0, x1, ty_Float) new_esEs14(Double(x0, x1), Double(x2, x3)) We have to consider all minimal (P,Q,R)-chains. ---------------------------------------- (18) QDPSizeChangeProof (EQUIVALENT) We used the following order together with the size-change analysis [AAECC05] to show that there are no infinite chains for this DP problem. Order:Polynomial interpretation [POLO]: POL(:(x_1, x_2)) = 1 + x_2 POL(:%(x_1, x_2)) = 0 POL(@0) = 0 POL(@2(x_1, x_2)) = 0 POL(@3(x_1, x_2, x_3)) = 0 POL(Char(x_1)) = 0 POL(Double(x_1, x_2)) = 0 POL(EQ) = 0 POL(False) = 0 POL(Float(x_1, x_2)) = 0 POL(GT) = 0 POL(Integer(x_1)) = 0 POL(Just(x_1)) = 0 POL(LT) = 0 POL(Left(x_1)) = 0 POL(Neg(x_1)) = 1 + x_1 POL(Nothing) = 1 POL(Pos(x_1)) = 1 + x_1 POL(Right(x_1)) = 0 POL(Succ(x_1)) = 1 + x_1 POL(True) = 1 POL(Zero) = 1 POL([]) = 0 POL(app(x_1, x_2)) = x_2 POL(new_asAs(x_1, x_2)) = x_1 + x_2 POL(new_esEs10(x_1, x_2)) = 0 POL(new_esEs11(x_1, x_2)) = 0 POL(new_esEs12(x_1, x_2, x_3)) = 1 POL(new_esEs13(x_1, x_2)) = 0 POL(new_esEs14(x_1, x_2)) = 0 POL(new_esEs15(x_1, x_2, x_3)) = 0 POL(new_esEs16(x_1, x_2)) = 0 POL(new_esEs17(x_1, x_2, x_3, x_4)) = 0 POL(new_esEs18(x_1, x_2)) = 0 POL(new_esEs19(x_1, x_2)) = 0 POL(new_esEs20(x_1, x_2, x_3, x_4)) = 0 POL(new_esEs21(x_1, x_2, x_3)) = x_1 + x_2 + x_3 POL(new_esEs22(x_1, x_2, x_3)) = x_1 + x_2 + x_3 POL(new_esEs23(x_1, x_2, x_3)) = x_1 + x_2 + x_3 POL(new_esEs24(x_1, x_2, x_3)) = x_1 + x_2 + x_3 POL(new_esEs25(x_1, x_2, x_3)) = x_1 + x_2 POL(new_esEs26(x_1, x_2, x_3)) = 0 POL(new_esEs4(x_1, x_2, x_3)) = x_1 POL(new_esEs5(x_1, x_2)) = 0 POL(new_esEs6(x_1, x_2, x_3, x_4, x_5)) = 0 POL(new_esEs7(x_1, x_2, x_3)) = x_1 + x_2 + x_3 POL(new_esEs8(x_1, x_2, x_3)) = x_1 + x_2 + x_3 POL(new_esEs9(x_1, x_2, x_3)) = 1 + x_1 + x_2 + x_3 POL(new_groupByZs1(x_1, x_2, x_3)) = x_2 POL(new_groupByZs10(x_1, x_2, x_3, x_4, x_5)) = 1 + x_3 POL(new_primEqInt(x_1, x_2)) = 0 POL(new_primEqNat0(x_1, x_2)) = 0 POL(new_primMulNat0(x_1, x_2)) = 0 POL(new_primPlusNat0(x_1, x_2)) = x_1 POL(new_primPlusNat1(x_1, x_2)) = x_1 + x_2 POL(new_span2Ys01(x_1, x_2, x_3, x_4, x_5)) = 1 + x_3 POL(new_span2Ys02(x_1, x_2, x_3, x_4)) = x_2 + x_3 + x_4 POL(new_span2Ys03(x_1, x_2, x_3, x_4, x_5)) = 1 + x_3 + x_5 POL(new_span2Ys04(x_1, x_2, x_3, x_4, x_5, x_6)) = 1 + x_4 POL(new_span2Ys2(x_1, x_2)) = x_1 + x_2 POL(new_span2Ys3(x_1, x_2, x_3)) = x_2 + x_3 POL(new_span2Zs01(x_1, x_2, x_3, x_4, x_5, x_6)) = 1 + x_5 POL(new_span2Zs02(x_1, x_2, x_3, x_4)) = 1 + x_2 + x_3 POL(new_span2Zs03(x_1, x_2, x_3, x_4, x_5)) = x_4 POL(new_span2Zs04(x_1, x_2, x_3, x_4, x_5)) = 1 + x_3 POL(new_span2Zs2(x_1, x_2)) = 1 + x_1 POL(new_span2Zs3(x_1, x_2, x_3)) = x_2 POL(new_sr(x_1, x_2)) = x_1 + x_2 POL(ty_@0) = 1 POL(ty_@2) = 0 POL(ty_@3) = 0 POL(ty_Bool) = 0 POL(ty_Char) = 1 POL(ty_Double) = 1 POL(ty_Either) = 0 POL(ty_Float) = 1 POL(ty_Int) = 1 POL(ty_Integer) = 1 POL(ty_Maybe) = 0 POL(ty_Ordering) = 1 POL(ty_Ratio) = 0 POL(ty_[]) = 0 From the DPs we obtained the following set of size-change graphs: *new_groupBy(:(vuu30, vuu31), ba) -> new_groupBy(new_groupByZs1(vuu30, vuu31, ba), ba) (allowed arguments on rhs = {1, 2}) The graph contains the following edges 1 > 1, 2 >= 2 We oriented the following set of usable rules [AAECC05,FROCOS05]. new_span2Zs3(vuu18, [], ea) -> [] new_span2Zs3(vuu18, :(vuu200, vuu201), ea) -> new_span2Zs04(vuu18, vuu200, vuu201, new_esEs4(Just(vuu18), vuu200, ea), ea) new_span2Zs2([], ba) -> [] new_span2Zs2(:(vuu3110, vuu3111), ba) -> new_span2Zs02(vuu3110, vuu3111, new_esEs4(Nothing, vuu3110, ba), ba) new_span2Zs04(vuu18, vuu200, vuu201, True, ea) -> new_span2Zs01(vuu18, vuu200, vuu201, new_span2Ys3(vuu18, vuu201, ea), new_span2Zs3(vuu18, vuu201, ea), ea) new_span2Zs04(vuu18, vuu200, vuu201, False, ea) -> :(vuu200, vuu201) new_span2Zs03(vuu3110, vuu3111, vuu35, vuu34, ba) -> vuu34 new_span2Zs02(vuu3110, vuu3111, True, ba) -> new_span2Zs03(vuu3110, vuu3111, new_span2Ys2(vuu3111, ba), new_span2Zs2(vuu3111, ba), ba) new_span2Zs02(vuu3110, vuu3111, False, ba) -> :(vuu3110, vuu3111) new_span2Zs01(vuu18, vuu200, vuu201, vuu39, vuu38, ea) -> vuu38 new_span2Ys3(vuu9, [], bbg) -> [] new_span2Ys3(vuu9, :(vuu110, vuu111), bbg) -> new_span2Ys03(vuu9, vuu110, vuu111, new_esEs4(Just(vuu9), vuu110, bbg), bbg) new_span2Ys2([], ba) -> [] new_span2Ys2(:(vuu3110, vuu3111), ba) -> new_span2Ys02(vuu3110, vuu3111, new_esEs4(Nothing, vuu3110, ba), ba) new_span2Ys04(vuu9, vuu110, vuu111, vuu37, vuu36, bbg) -> :(vuu110, vuu37) new_span2Ys03(vuu9, vuu110, vuu111, True, bbg) -> new_span2Ys04(vuu9, vuu110, vuu111, new_span2Ys3(vuu9, vuu111, bbg), new_span2Zs3(vuu9, vuu111, bbg), bbg) new_span2Ys03(vuu9, vuu110, vuu111, False, bbg) -> [] new_span2Ys02(vuu3110, vuu3111, True, ba) -> new_span2Ys01(vuu3110, vuu3111, new_span2Ys2(vuu3111, ba), new_span2Zs2(vuu3111, ba), ba) new_span2Ys02(vuu3110, vuu3111, False, ba) -> [] new_span2Ys01(vuu3110, vuu3111, vuu33, vuu32, ba) -> :(vuu3110, vuu33) new_groupByZs10(vuu18, vuu19, vuu20, True, ea) -> new_span2Zs3(vuu18, vuu20, ea) new_groupByZs10(vuu18, vuu19, vuu20, False, ea) -> :(Just(vuu19), vuu20) new_groupByZs1(vuu30, [], ba) -> [] new_groupByZs1(Nothing, :(Nothing, vuu311), ba) -> new_span2Zs2(vuu311, ba) new_groupByZs1(Nothing, :(Just(vuu3100), vuu311), ba) -> :(Just(vuu3100), vuu311) new_groupByZs1(Just(vuu300), :(Nothing, vuu311), ba) -> :(Nothing, vuu311) new_groupByZs1(Just(vuu300), :(Just(vuu3100), vuu311), ba) -> new_groupByZs10(vuu300, vuu3100, vuu311, new_esEs26(vuu300, vuu3100, ba), ba) new_esEs4(Nothing, Nothing, eb) -> True new_esEs4(Nothing, Just(vuu31000), eb) -> False ---------------------------------------- (19) YES ---------------------------------------- (20) Obligation: Q DP problem: The TRS P consists of the following rules: new_span2Ys00(vuu3110, vuu3111, True, ba) -> new_span2Ys1(vuu3111, ba) new_span2Ys00(vuu3110, vuu3111, True, ba) -> new_span2Zs1(vuu3111, ba) new_span2Zs00(vuu3110, vuu3111, True, ba) -> new_span2Ys1(vuu3111, ba) new_span2Zs1(:(vuu3110, vuu3111), ba) -> new_span2Zs00(vuu3110, vuu3111, new_esEs4(Nothing, vuu3110, ba), ba) new_span2Zs00(vuu3110, vuu3111, True, ba) -> new_span2Zs1(vuu3111, ba) new_span2Ys1(:(vuu3110, vuu3111), ba) -> new_span2Ys00(vuu3110, vuu3111, new_esEs4(Nothing, vuu3110, ba), ba) The TRS R consists of the following rules: new_esEs7(vuu3000, vuu31000, app(ty_Ratio, ca)) -> new_esEs15(vuu3000, vuu31000, ca) new_esEs17(Right(vuu3000), Right(vuu31000), bbg, ty_Float) -> new_esEs11(vuu3000, vuu31000) new_primEqInt(Pos(Zero), Pos(Zero)) -> True new_esEs17(Right(vuu3000), Right(vuu31000), bbg, ty_Integer) -> new_esEs5(vuu3000, vuu31000) new_esEs7(vuu3000, vuu31000, ty_Char) -> new_esEs18(vuu3000, vuu31000) new_esEs25(vuu3000, vuu31000, app(app(app(ty_@3, bdd), bde), bdf)) -> new_esEs6(vuu3000, vuu31000, bdd, bde, bdf) new_esEs22(vuu3001, vuu31001, ty_Double) -> new_esEs14(vuu3001, vuu31001) new_esEs17(Left(vuu3000), Left(vuu31000), app(ty_Ratio, bba), bad) -> new_esEs15(vuu3000, vuu31000, bba) new_esEs9(vuu3002, vuu31002, app(app(ty_@2, fa), fb)) -> new_esEs20(vuu3002, vuu31002, fa, fb) new_esEs19(False, True) -> False new_esEs19(True, False) -> False new_esEs25(vuu3000, vuu31000, ty_Ordering) -> new_esEs13(vuu3000, vuu31000) new_esEs4(Just(vuu3000), Just(vuu31000), ty_Float) -> new_esEs11(vuu3000, vuu31000) new_esEs8(vuu3001, vuu31001, ty_Int) -> new_esEs16(vuu3001, vuu31001) new_esEs4(Just(vuu3000), Just(vuu31000), app(app(ty_Either, bfc), bfd)) -> new_esEs17(vuu3000, vuu31000, bfc, bfd) new_esEs17(Right(vuu3000), Right(vuu31000), bbg, ty_Ordering) -> new_esEs13(vuu3000, vuu31000) new_esEs9(vuu3002, vuu31002, ty_@0) -> new_esEs10(vuu3002, vuu31002) new_esEs23(vuu3000, vuu31000, ty_Integer) -> new_esEs5(vuu3000, vuu31000) new_esEs8(vuu3001, vuu31001, app(ty_[], cg)) -> new_esEs12(vuu3001, vuu31001, cg) new_esEs12(:(vuu3000, vuu3001), [], bdb) -> False new_esEs12([], :(vuu31000, vuu31001), bdb) -> False new_esEs21(vuu3000, vuu31000, app(app(ty_Either, gd), ge)) -> new_esEs17(vuu3000, vuu31000, gd, ge) new_esEs17(Left(vuu3000), Left(vuu31000), app(app(app(ty_@3, baf), bag), bah), bad) -> new_esEs6(vuu3000, vuu31000, baf, bag, bah) new_esEs25(vuu3000, vuu31000, ty_Float) -> new_esEs11(vuu3000, vuu31000) new_esEs17(Left(vuu3000), Left(vuu31000), ty_Float, bad) -> new_esEs11(vuu3000, vuu31000) new_esEs17(Right(vuu3000), Right(vuu31000), bbg, app(ty_Ratio, bcd)) -> new_esEs15(vuu3000, vuu31000, bcd) new_esEs15(:%(vuu3000, vuu3001), :%(vuu31000, vuu31001), bac) -> new_asAs(new_esEs23(vuu3000, vuu31000, bac), new_esEs24(vuu3001, vuu31001, bac)) new_esEs17(Left(vuu3000), Left(vuu31000), ty_Ordering, bad) -> new_esEs13(vuu3000, vuu31000) new_esEs4(Just(vuu3000), Just(vuu31000), app(app(app(ty_@3, beg), beh), bfa)) -> new_esEs6(vuu3000, vuu31000, beg, beh, bfa) new_esEs12(:(vuu3000, vuu3001), :(vuu31000, vuu31001), bdb) -> new_asAs(new_esEs25(vuu3000, vuu31000, bdb), new_esEs12(vuu3001, vuu31001, bdb)) new_asAs(True, vuu27) -> vuu27 new_esEs17(Right(vuu3000), Right(vuu31000), bbg, ty_Bool) -> new_esEs19(vuu3000, vuu31000) new_esEs14(Double(vuu3000, vuu3001), Double(vuu31000, vuu31001)) -> new_esEs16(new_sr(vuu3000, vuu31001), new_sr(vuu3001, vuu31000)) new_esEs8(vuu3001, vuu31001, app(app(app(ty_@3, da), db), dc)) -> new_esEs6(vuu3001, vuu31001, da, db, dc) new_esEs21(vuu3000, vuu31000, ty_@0) -> new_esEs10(vuu3000, vuu31000) new_esEs17(Left(vuu3000), Left(vuu31000), ty_Integer, bad) -> new_esEs5(vuu3000, vuu31000) new_esEs8(vuu3001, vuu31001, ty_Ordering) -> new_esEs13(vuu3001, vuu31001) new_esEs21(vuu3000, vuu31000, ty_Integer) -> new_esEs5(vuu3000, vuu31000) new_primEqInt(Pos(Succ(vuu30000)), Pos(Zero)) -> False new_primEqInt(Pos(Zero), Pos(Succ(vuu310000))) -> False new_esEs7(vuu3000, vuu31000, app(ty_Maybe, cf)) -> new_esEs4(vuu3000, vuu31000, cf) new_esEs21(vuu3000, vuu31000, ty_Char) -> new_esEs18(vuu3000, vuu31000) new_esEs4(Just(vuu3000), Just(vuu31000), ty_Ordering) -> new_esEs13(vuu3000, vuu31000) new_esEs4(Just(vuu3000), Just(vuu31000), ty_Integer) -> new_esEs5(vuu3000, vuu31000) new_esEs8(vuu3001, vuu31001, ty_Integer) -> new_esEs5(vuu3001, vuu31001) new_esEs6(@3(vuu3000, vuu3001, vuu3002), @3(vuu31000, vuu31001, vuu31002), bb, bc, bd) -> new_asAs(new_esEs7(vuu3000, vuu31000, bb), new_asAs(new_esEs8(vuu3001, vuu31001, bc), new_esEs9(vuu3002, vuu31002, bd))) new_esEs21(vuu3000, vuu31000, app(ty_Ratio, gc)) -> new_esEs15(vuu3000, vuu31000, gc) new_esEs22(vuu3001, vuu31001, app(ty_Maybe, bab)) -> new_esEs4(vuu3001, vuu31001, bab) new_esEs7(vuu3000, vuu31000, app(app(ty_@2, cd), ce)) -> new_esEs20(vuu3000, vuu31000, cd, ce) new_esEs4(Just(vuu3000), Just(vuu31000), ty_Bool) -> new_esEs19(vuu3000, vuu31000) new_primEqNat0(Succ(vuu30000), Succ(vuu310000)) -> new_primEqNat0(vuu30000, vuu310000) new_esEs21(vuu3000, vuu31000, ty_Ordering) -> new_esEs13(vuu3000, vuu31000) new_esEs21(vuu3000, vuu31000, ty_Bool) -> new_esEs19(vuu3000, vuu31000) new_esEs17(Left(vuu3000), Left(vuu31000), ty_Bool, bad) -> new_esEs19(vuu3000, vuu31000) new_esEs21(vuu3000, vuu31000, app(app(app(ty_@3, fh), ga), gb)) -> new_esEs6(vuu3000, vuu31000, fh, ga, gb) new_primMulNat0(Zero, Zero) -> Zero new_esEs8(vuu3001, vuu31001, ty_Double) -> new_esEs14(vuu3001, vuu31001) new_esEs17(Left(vuu3000), Left(vuu31000), ty_@0, bad) -> new_esEs10(vuu3000, vuu31000) new_esEs4(Just(vuu3000), Just(vuu31000), ty_Int) -> new_esEs16(vuu3000, vuu31000) new_esEs8(vuu3001, vuu31001, app(app(ty_Either, de), df)) -> new_esEs17(vuu3001, vuu31001, de, df) new_esEs4(Nothing, Nothing, bee) -> True new_esEs4(Just(vuu3000), Just(vuu31000), app(ty_[], bef)) -> new_esEs12(vuu3000, vuu31000, bef) new_esEs22(vuu3001, vuu31001, app(app(ty_@2, hh), baa)) -> new_esEs20(vuu3001, vuu31001, hh, baa) new_esEs17(Right(vuu3000), Right(vuu31000), bbg, app(ty_Maybe, bda)) -> new_esEs4(vuu3000, vuu31000, bda) new_primEqNat0(Succ(vuu30000), Zero) -> False new_primEqNat0(Zero, Succ(vuu310000)) -> False new_esEs4(Nothing, Just(vuu31000), bee) -> False new_esEs4(Just(vuu3000), Nothing, bee) -> False new_esEs18(Char(vuu3000), Char(vuu31000)) -> new_primEqNat0(vuu3000, vuu31000) new_esEs22(vuu3001, vuu31001, ty_@0) -> new_esEs10(vuu3001, vuu31001) new_esEs8(vuu3001, vuu31001, ty_Float) -> new_esEs11(vuu3001, vuu31001) new_esEs9(vuu3002, vuu31002, ty_Ordering) -> new_esEs13(vuu3002, vuu31002) new_esEs21(vuu3000, vuu31000, ty_Float) -> new_esEs11(vuu3000, vuu31000) new_esEs4(Just(vuu3000), Just(vuu31000), app(app(ty_@2, bfe), bff)) -> new_esEs20(vuu3000, vuu31000, bfe, bff) new_esEs7(vuu3000, vuu31000, ty_Double) -> new_esEs14(vuu3000, vuu31000) new_esEs21(vuu3000, vuu31000, app(app(ty_@2, gf), gg)) -> new_esEs20(vuu3000, vuu31000, gf, gg) new_esEs13(LT, LT) -> True new_esEs11(Float(vuu3000, vuu3001), Float(vuu31000, vuu31001)) -> new_esEs16(new_sr(vuu3000, vuu31001), new_sr(vuu3001, vuu31000)) new_esEs22(vuu3001, vuu31001, ty_Ordering) -> new_esEs13(vuu3001, vuu31001) new_esEs17(Left(vuu3000), Left(vuu31000), app(ty_Maybe, bbf), bad) -> new_esEs4(vuu3000, vuu31000, bbf) new_esEs22(vuu3001, vuu31001, ty_Int) -> new_esEs16(vuu3001, vuu31001) new_esEs7(vuu3000, vuu31000, ty_Float) -> new_esEs11(vuu3000, vuu31000) new_esEs22(vuu3001, vuu31001, app(ty_[], ha)) -> new_esEs12(vuu3001, vuu31001, ha) new_esEs7(vuu3000, vuu31000, ty_Integer) -> new_esEs5(vuu3000, vuu31000) new_primEqInt(Neg(Succ(vuu30000)), Neg(Zero)) -> False new_primEqInt(Neg(Zero), Neg(Succ(vuu310000))) -> False new_esEs19(False, False) -> True new_esEs9(vuu3002, vuu31002, ty_Bool) -> new_esEs19(vuu3002, vuu31002) new_primEqInt(Pos(Succ(vuu30000)), Pos(Succ(vuu310000))) -> new_primEqNat0(vuu30000, vuu310000) new_esEs17(Left(vuu3000), Right(vuu31000), bbg, bad) -> False new_esEs17(Right(vuu3000), Left(vuu31000), bbg, bad) -> False new_sr(Pos(vuu30000), Neg(vuu310010)) -> Neg(new_primMulNat0(vuu30000, vuu310010)) new_sr(Neg(vuu30000), Pos(vuu310010)) -> Neg(new_primMulNat0(vuu30000, vuu310010)) new_esEs25(vuu3000, vuu31000, ty_Integer) -> new_esEs5(vuu3000, vuu31000) new_primPlusNat1(Succ(vuu4000), Succ(vuu31001000)) -> Succ(Succ(new_primPlusNat1(vuu4000, vuu31001000))) new_primEqInt(Pos(Succ(vuu30000)), Neg(vuu31000)) -> False new_primEqInt(Neg(Succ(vuu30000)), Pos(vuu31000)) -> False new_esEs7(vuu3000, vuu31000, app(app(app(ty_@3, bf), bg), bh)) -> new_esEs6(vuu3000, vuu31000, bf, bg, bh) new_esEs25(vuu3000, vuu31000, app(ty_Ratio, bdg)) -> new_esEs15(vuu3000, vuu31000, bdg) new_esEs9(vuu3002, vuu31002, ty_Char) -> new_esEs18(vuu3002, vuu31002) new_esEs13(LT, GT) -> False new_esEs13(GT, LT) -> False new_esEs9(vuu3002, vuu31002, app(app(ty_Either, eg), eh)) -> new_esEs17(vuu3002, vuu31002, eg, eh) new_esEs22(vuu3001, vuu31001, ty_Char) -> new_esEs18(vuu3001, vuu31001) new_esEs9(vuu3002, vuu31002, ty_Int) -> new_esEs16(vuu3002, vuu31002) new_esEs17(Left(vuu3000), Left(vuu31000), ty_Double, bad) -> new_esEs14(vuu3000, vuu31000) new_esEs22(vuu3001, vuu31001, app(app(ty_Either, hf), hg)) -> new_esEs17(vuu3001, vuu31001, hf, hg) new_esEs8(vuu3001, vuu31001, ty_@0) -> new_esEs10(vuu3001, vuu31001) new_esEs9(vuu3002, vuu31002, app(ty_[], eb)) -> new_esEs12(vuu3002, vuu31002, eb) new_esEs8(vuu3001, vuu31001, app(app(ty_@2, dg), dh)) -> new_esEs20(vuu3001, vuu31001, dg, dh) new_esEs24(vuu3001, vuu31001, ty_Integer) -> new_esEs5(vuu3001, vuu31001) new_esEs8(vuu3001, vuu31001, ty_Char) -> new_esEs18(vuu3001, vuu31001) new_esEs20(@2(vuu3000, vuu3001), @2(vuu31000, vuu31001), fd, ff) -> new_asAs(new_esEs21(vuu3000, vuu31000, fd), new_esEs22(vuu3001, vuu31001, ff)) new_sr(Neg(vuu30000), Neg(vuu310010)) -> Pos(new_primMulNat0(vuu30000, vuu310010)) new_esEs22(vuu3001, vuu31001, ty_Bool) -> new_esEs19(vuu3001, vuu31001) new_esEs4(Just(vuu3000), Just(vuu31000), ty_Double) -> new_esEs14(vuu3000, vuu31000) new_esEs17(Right(vuu3000), Right(vuu31000), bbg, app(app(app(ty_@3, bca), bcb), bcc)) -> new_esEs6(vuu3000, vuu31000, bca, bcb, bcc) new_esEs13(GT, GT) -> True new_esEs21(vuu3000, vuu31000, app(ty_[], fg)) -> new_esEs12(vuu3000, vuu31000, fg) new_esEs21(vuu3000, vuu31000, ty_Double) -> new_esEs14(vuu3000, vuu31000) new_primEqInt(Pos(Zero), Neg(Succ(vuu310000))) -> False new_primEqInt(Neg(Zero), Pos(Succ(vuu310000))) -> False new_esEs7(vuu3000, vuu31000, ty_Int) -> new_esEs16(vuu3000, vuu31000) new_esEs5(Integer(vuu3000), Integer(vuu31000)) -> new_primEqInt(vuu3000, vuu31000) new_esEs7(vuu3000, vuu31000, app(ty_[], be)) -> new_esEs12(vuu3000, vuu31000, be) new_esEs10(@0, @0) -> True new_esEs25(vuu3000, vuu31000, ty_Double) -> new_esEs14(vuu3000, vuu31000) new_esEs22(vuu3001, vuu31001, ty_Float) -> new_esEs11(vuu3001, vuu31001) new_esEs17(Right(vuu3000), Right(vuu31000), bbg, app(ty_[], bbh)) -> new_esEs12(vuu3000, vuu31000, bbh) new_primEqInt(Neg(Succ(vuu30000)), Neg(Succ(vuu310000))) -> new_primEqNat0(vuu30000, vuu310000) new_esEs21(vuu3000, vuu31000, ty_Int) -> new_esEs16(vuu3000, vuu31000) new_esEs17(Left(vuu3000), Left(vuu31000), ty_Int, bad) -> new_esEs16(vuu3000, vuu31000) new_primPlusNat0(Succ(vuu400), vuu3100100) -> Succ(Succ(new_primPlusNat1(vuu400, vuu3100100))) new_esEs17(Left(vuu3000), Left(vuu31000), app(ty_[], bae), bad) -> new_esEs12(vuu3000, vuu31000, bae) new_esEs17(Left(vuu3000), Left(vuu31000), app(app(ty_@2, bbd), bbe), bad) -> new_esEs20(vuu3000, vuu31000, bbd, bbe) new_esEs17(Right(vuu3000), Right(vuu31000), bbg, ty_Double) -> new_esEs14(vuu3000, vuu31000) new_esEs13(EQ, GT) -> False new_esEs13(GT, EQ) -> False new_esEs17(Right(vuu3000), Right(vuu31000), bbg, ty_@0) -> new_esEs10(vuu3000, vuu31000) new_esEs17(Left(vuu3000), Left(vuu31000), app(app(ty_Either, bbb), bbc), bad) -> new_esEs17(vuu3000, vuu31000, bbb, bbc) new_esEs23(vuu3000, vuu31000, ty_Int) -> new_esEs16(vuu3000, vuu31000) new_primPlusNat1(Zero, Zero) -> Zero new_esEs4(Just(vuu3000), Just(vuu31000), app(ty_Ratio, bfb)) -> new_esEs15(vuu3000, vuu31000, bfb) new_primMulNat0(Succ(vuu300000), Zero) -> Zero new_primMulNat0(Zero, Succ(vuu3100100)) -> Zero new_sr(Pos(vuu30000), Pos(vuu310010)) -> Pos(new_primMulNat0(vuu30000, vuu310010)) new_primPlusNat0(Zero, vuu3100100) -> Succ(vuu3100100) new_esEs4(Just(vuu3000), Just(vuu31000), ty_Char) -> new_esEs18(vuu3000, vuu31000) new_esEs8(vuu3001, vuu31001, ty_Bool) -> new_esEs19(vuu3001, vuu31001) new_esEs8(vuu3001, vuu31001, app(ty_Ratio, dd)) -> new_esEs15(vuu3001, vuu31001, dd) new_esEs25(vuu3000, vuu31000, app(ty_Maybe, bed)) -> new_esEs4(vuu3000, vuu31000, bed) new_esEs9(vuu3002, vuu31002, ty_Double) -> new_esEs14(vuu3002, vuu31002) new_esEs24(vuu3001, vuu31001, ty_Int) -> new_esEs16(vuu3001, vuu31001) new_esEs17(Left(vuu3000), Left(vuu31000), ty_Char, bad) -> new_esEs18(vuu3000, vuu31000) new_esEs16(vuu300, vuu3100) -> new_primEqInt(vuu300, vuu3100) new_esEs7(vuu3000, vuu31000, app(app(ty_Either, cb), cc)) -> new_esEs17(vuu3000, vuu31000, cb, cc) new_esEs9(vuu3002, vuu31002, ty_Float) -> new_esEs11(vuu3002, vuu31002) new_primEqInt(Neg(Zero), Neg(Zero)) -> True new_esEs9(vuu3002, vuu31002, ty_Integer) -> new_esEs5(vuu3002, vuu31002) new_primMulNat0(Succ(vuu300000), Succ(vuu3100100)) -> new_primPlusNat0(new_primMulNat0(vuu300000, Succ(vuu3100100)), vuu3100100) new_esEs7(vuu3000, vuu31000, ty_Bool) -> new_esEs19(vuu3000, vuu31000) new_esEs4(Just(vuu3000), Just(vuu31000), ty_@0) -> new_esEs10(vuu3000, vuu31000) new_esEs9(vuu3002, vuu31002, app(ty_Maybe, fc)) -> new_esEs4(vuu3002, vuu31002, fc) new_esEs22(vuu3001, vuu31001, app(ty_Ratio, he)) -> new_esEs15(vuu3001, vuu31001, he) new_esEs17(Right(vuu3000), Right(vuu31000), bbg, ty_Int) -> new_esEs16(vuu3000, vuu31000) new_primPlusNat1(Succ(vuu4000), Zero) -> Succ(vuu4000) new_primPlusNat1(Zero, Succ(vuu31001000)) -> Succ(vuu31001000) new_esEs22(vuu3001, vuu31001, app(app(app(ty_@3, hb), hc), hd)) -> new_esEs6(vuu3001, vuu31001, hb, hc, hd) new_esEs25(vuu3000, vuu31000, ty_Int) -> new_esEs16(vuu3000, vuu31000) new_esEs9(vuu3002, vuu31002, app(app(app(ty_@3, ec), ed), ee)) -> new_esEs6(vuu3002, vuu31002, ec, ed, ee) new_esEs25(vuu3000, vuu31000, app(ty_[], bdc)) -> new_esEs12(vuu3000, vuu31000, bdc) new_esEs25(vuu3000, vuu31000, app(app(ty_@2, beb), bec)) -> new_esEs20(vuu3000, vuu31000, beb, bec) new_esEs17(Right(vuu3000), Right(vuu31000), bbg, ty_Char) -> new_esEs18(vuu3000, vuu31000) new_esEs12([], [], bdb) -> True new_esEs17(Right(vuu3000), Right(vuu31000), bbg, app(app(ty_Either, bce), bcf)) -> new_esEs17(vuu3000, vuu31000, bce, bcf) new_primEqInt(Pos(Zero), Neg(Zero)) -> True new_primEqInt(Neg(Zero), Pos(Zero)) -> True new_esEs22(vuu3001, vuu31001, ty_Integer) -> new_esEs5(vuu3001, vuu31001) new_esEs25(vuu3000, vuu31000, ty_@0) -> new_esEs10(vuu3000, vuu31000) new_primEqNat0(Zero, Zero) -> True new_esEs7(vuu3000, vuu31000, ty_Ordering) -> new_esEs13(vuu3000, vuu31000) new_esEs21(vuu3000, vuu31000, app(ty_Maybe, gh)) -> new_esEs4(vuu3000, vuu31000, gh) new_esEs9(vuu3002, vuu31002, app(ty_Ratio, ef)) -> new_esEs15(vuu3002, vuu31002, ef) new_esEs25(vuu3000, vuu31000, app(app(ty_Either, bdh), bea)) -> new_esEs17(vuu3000, vuu31000, bdh, bea) new_esEs25(vuu3000, vuu31000, ty_Char) -> new_esEs18(vuu3000, vuu31000) new_esEs13(EQ, EQ) -> True new_asAs(False, vuu27) -> False new_esEs13(LT, EQ) -> False new_esEs13(EQ, LT) -> False new_esEs8(vuu3001, vuu31001, app(ty_Maybe, ea)) -> new_esEs4(vuu3001, vuu31001, ea) new_esEs17(Right(vuu3000), Right(vuu31000), bbg, app(app(ty_@2, bcg), bch)) -> new_esEs20(vuu3000, vuu31000, bcg, bch) new_esEs4(Just(vuu3000), Just(vuu31000), app(ty_Maybe, bfg)) -> new_esEs4(vuu3000, vuu31000, bfg) new_esEs7(vuu3000, vuu31000, ty_@0) -> new_esEs10(vuu3000, vuu31000) new_esEs19(True, True) -> True new_esEs25(vuu3000, vuu31000, ty_Bool) -> new_esEs19(vuu3000, vuu31000) The set Q consists of the following terms: new_esEs7(x0, x1, ty_Bool) new_esEs8(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs4(Just(x0), Just(x1), ty_Double) new_esEs8(x0, x1, app(app(ty_@2, x2), x3)) new_esEs13(EQ, EQ) new_esEs22(x0, x1, ty_Double) new_esEs17(Left(x0), Left(x1), ty_@0, x2) new_esEs22(x0, x1, ty_Float) new_esEs17(Left(x0), Left(x1), app(app(ty_@2, x2), x3), x4) new_primPlusNat1(Succ(x0), Succ(x1)) new_esEs18(Char(x0), Char(x1)) new_esEs8(x0, x1, ty_Integer) new_esEs17(Left(x0), Left(x1), ty_Bool, x2) new_esEs22(x0, x1, app(app(ty_@2, x2), x3)) new_primMulNat0(Zero, Zero) new_primPlusNat1(Zero, Zero) new_esEs8(x0, x1, app(ty_Ratio, x2)) new_primEqInt(Neg(Zero), Neg(Succ(x0))) new_esEs9(x0, x1, app(app(ty_Either, x2), x3)) new_esEs4(Just(x0), Just(x1), app(app(ty_Either, x2), x3)) new_esEs17(Left(x0), Left(x1), app(ty_Ratio, x2), x3) new_esEs17(Right(x0), Right(x1), x2, app(app(app(ty_@3, x3), x4), x5)) new_esEs7(x0, x1, ty_@0) new_esEs19(False, False) new_esEs7(x0, x1, app(ty_[], x2)) new_primEqInt(Pos(Zero), Pos(Succ(x0))) new_primEqInt(Pos(Zero), Pos(Zero)) new_esEs9(x0, x1, app(ty_Ratio, x2)) new_esEs12(:(x0, x1), [], x2) new_esEs8(x0, x1, ty_Bool) new_esEs7(x0, x1, app(app(ty_Either, x2), x3)) new_esEs6(@3(x0, x1, x2), @3(x3, x4, x5), x6, x7, x8) new_esEs4(Just(x0), Just(x1), app(ty_Ratio, x2)) new_esEs17(Left(x0), Right(x1), x2, x3) new_esEs17(Right(x0), Left(x1), x2, x3) new_esEs21(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs23(x0, x1, ty_Integer) new_primEqNat0(Zero, Succ(x0)) new_esEs17(Right(x0), Right(x1), x2, app(ty_Maybe, x3)) new_esEs17(Right(x0), Right(x1), x2, ty_Integer) new_esEs13(LT, LT) new_sr(Neg(x0), Neg(x1)) new_esEs9(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs9(x0, x1, ty_Double) new_esEs9(x0, x1, app(ty_[], x2)) new_esEs16(x0, x1) new_primEqInt(Neg(Zero), Neg(Zero)) new_esEs25(x0, x1, ty_Bool) new_esEs4(Just(x0), Nothing, x1) new_esEs17(Right(x0), Right(x1), x2, ty_@0) new_esEs5(Integer(x0), Integer(x1)) new_esEs7(x0, x1, app(ty_Ratio, x2)) new_esEs4(Just(x0), Just(x1), ty_Char) new_esEs7(x0, x1, app(ty_Maybe, x2)) new_esEs24(x0, x1, ty_Integer) new_primPlusNat0(Zero, x0) new_esEs17(Left(x0), Left(x1), app(ty_[], x2), x3) new_esEs24(x0, x1, ty_Int) new_esEs12([], [], x0) new_esEs25(x0, x1, ty_Ordering) new_esEs21(x0, x1, ty_Bool) new_esEs25(x0, x1, app(app(ty_@2, x2), x3)) new_esEs9(x0, x1, ty_Float) new_esEs17(Right(x0), Right(x1), x2, app(ty_Ratio, x3)) new_esEs22(x0, x1, ty_Integer) new_esEs4(Just(x0), Just(x1), ty_Int) new_esEs12([], :(x0, x1), x2) new_sr(Pos(x0), Pos(x1)) new_primPlusNat1(Zero, Succ(x0)) new_esEs21(x0, x1, ty_Float) new_primEqInt(Pos(Succ(x0)), Pos(Zero)) new_esEs17(Right(x0), Right(x1), x2, ty_Double) new_primEqInt(Pos(Zero), Neg(Zero)) new_primEqInt(Neg(Zero), Pos(Zero)) new_esEs21(x0, x1, ty_@0) new_primEqInt(Pos(Zero), Neg(Succ(x0))) new_primEqInt(Neg(Zero), Pos(Succ(x0))) new_esEs8(x0, x1, app(ty_Maybe, x2)) new_esEs21(x0, x1, ty_Double) new_esEs21(x0, x1, ty_Char) new_esEs25(x0, x1, ty_Integer) new_esEs22(x0, x1, ty_Ordering) new_primEqInt(Pos(Succ(x0)), Neg(x1)) new_primEqInt(Neg(Succ(x0)), Pos(x1)) new_esEs17(Right(x0), Right(x1), x2, app(app(ty_Either, x3), x4)) new_esEs17(Right(x0), Right(x1), x2, app(ty_[], x3)) new_primMulNat0(Succ(x0), Zero) new_esEs17(Right(x0), Right(x1), x2, ty_Bool) new_esEs19(True, True) new_esEs4(Just(x0), Just(x1), ty_Float) new_esEs21(x0, x1, app(app(ty_Either, x2), x3)) new_esEs9(x0, x1, app(app(ty_@2, x2), x3)) new_esEs21(x0, x1, ty_Int) new_esEs7(x0, x1, ty_Float) new_esEs22(x0, x1, app(ty_Ratio, x2)) new_esEs22(x0, x1, ty_@0) new_esEs17(Right(x0), Right(x1), x2, ty_Int) new_esEs8(x0, x1, ty_Int) new_esEs4(Just(x0), Just(x1), ty_@0) new_esEs25(x0, x1, ty_Char) new_esEs22(x0, x1, ty_Bool) new_esEs21(x0, x1, app(ty_Ratio, x2)) new_esEs17(Left(x0), Left(x1), ty_Float, x2) new_esEs25(x0, x1, app(ty_Maybe, x2)) new_esEs25(x0, x1, app(app(ty_Either, x2), x3)) new_esEs12(:(x0, x1), :(x2, x3), x4) new_esEs17(Left(x0), Left(x1), ty_Double, x2) new_primMulNat0(Zero, Succ(x0)) new_esEs25(x0, x1, ty_Int) new_esEs13(LT, GT) new_esEs13(GT, LT) new_esEs4(Just(x0), Just(x1), app(ty_[], x2)) new_esEs7(x0, x1, ty_Ordering) new_esEs17(Right(x0), Right(x1), x2, ty_Char) new_esEs7(x0, x1, ty_Int) new_esEs22(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs8(x0, x1, ty_Ordering) new_primEqInt(Pos(Succ(x0)), Pos(Succ(x1))) new_esEs22(x0, x1, app(ty_[], x2)) new_esEs9(x0, x1, ty_@0) new_esEs4(Nothing, Nothing, x0) new_esEs20(@2(x0, x1), @2(x2, x3), x4, x5) new_esEs19(False, True) new_esEs19(True, False) new_esEs9(x0, x1, ty_Int) new_esEs17(Right(x0), Right(x1), x2, ty_Float) new_esEs23(x0, x1, ty_Int) new_primEqInt(Neg(Succ(x0)), Neg(Succ(x1))) new_esEs17(Left(x0), Left(x1), app(app(app(ty_@3, x2), x3), x4), x5) new_esEs21(x0, x1, app(ty_[], x2)) new_esEs17(Right(x0), Right(x1), x2, ty_Ordering) new_esEs17(Left(x0), Left(x1), ty_Int, x2) new_esEs4(Just(x0), Just(x1), app(ty_Maybe, x2)) new_esEs7(x0, x1, ty_Char) new_esEs7(x0, x1, app(app(ty_@2, x2), x3)) new_primMulNat0(Succ(x0), Succ(x1)) new_esEs17(Left(x0), Left(x1), ty_Ordering, x2) new_primPlusNat0(Succ(x0), x1) new_esEs4(Just(x0), Just(x1), ty_Bool) new_esEs7(x0, x1, ty_Double) new_esEs9(x0, x1, ty_Char) new_esEs8(x0, x1, ty_Double) new_esEs8(x0, x1, ty_Char) new_esEs22(x0, x1, ty_Char) new_primEqNat0(Zero, Zero) new_esEs4(Just(x0), Just(x1), app(app(app(ty_@3, x2), x3), x4)) new_esEs7(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs17(Left(x0), Left(x1), ty_Char, x2) new_esEs8(x0, x1, app(app(ty_Either, x2), x3)) new_esEs9(x0, x1, ty_Ordering) new_esEs17(Left(x0), Left(x1), app(app(ty_Either, x2), x3), x4) new_esEs13(EQ, GT) new_esEs13(GT, EQ) new_esEs21(x0, x1, ty_Ordering) new_esEs25(x0, x1, ty_@0) new_esEs25(x0, x1, ty_Double) new_esEs21(x0, x1, app(ty_Maybe, x2)) new_esEs8(x0, x1, app(ty_[], x2)) new_esEs22(x0, x1, app(ty_Maybe, x2)) new_asAs(False, x0) new_esEs8(x0, x1, ty_@0) new_sr(Pos(x0), Neg(x1)) new_sr(Neg(x0), Pos(x1)) new_asAs(True, x0) new_primEqInt(Neg(Succ(x0)), Neg(Zero)) new_esEs4(Nothing, Just(x0), x1) new_esEs21(x0, x1, ty_Integer) new_esEs17(Left(x0), Left(x1), ty_Integer, x2) new_esEs9(x0, x1, ty_Bool) new_primPlusNat1(Succ(x0), Zero) new_esEs4(Just(x0), Just(x1), app(app(ty_@2, x2), x3)) new_esEs11(Float(x0, x1), Float(x2, x3)) new_esEs22(x0, x1, app(app(ty_Either, x2), x3)) new_esEs9(x0, x1, ty_Integer) new_primEqNat0(Succ(x0), Zero) new_esEs8(x0, x1, ty_Float) new_esEs9(x0, x1, app(ty_Maybe, x2)) new_esEs7(x0, x1, ty_Integer) new_esEs10(@0, @0) new_esEs17(Right(x0), Right(x1), x2, app(app(ty_@2, x3), x4)) new_esEs4(Just(x0), Just(x1), ty_Integer) new_esEs15(:%(x0, x1), :%(x2, x3), x4) new_esEs4(Just(x0), Just(x1), ty_Ordering) new_esEs25(x0, x1, app(ty_[], x2)) new_esEs21(x0, x1, app(app(ty_@2, x2), x3)) new_esEs13(GT, GT) new_esEs13(LT, EQ) new_esEs13(EQ, LT) new_esEs25(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_primEqNat0(Succ(x0), Succ(x1)) new_esEs25(x0, x1, app(ty_Ratio, x2)) new_esEs22(x0, x1, ty_Int) new_esEs25(x0, x1, ty_Float) new_esEs14(Double(x0, x1), Double(x2, x3)) new_esEs17(Left(x0), Left(x1), app(ty_Maybe, x2), x3) We have to consider all minimal (P,Q,R)-chains. ---------------------------------------- (21) QDPSizeChangeProof (EQUIVALENT) 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. From the DPs we obtained the following set of size-change graphs: *new_span2Ys1(:(vuu3110, vuu3111), ba) -> new_span2Ys00(vuu3110, vuu3111, new_esEs4(Nothing, vuu3110, ba), ba) The graph contains the following edges 1 > 1, 1 > 2, 2 >= 4 *new_span2Zs1(:(vuu3110, vuu3111), ba) -> new_span2Zs00(vuu3110, vuu3111, new_esEs4(Nothing, vuu3110, ba), ba) The graph contains the following edges 1 > 1, 1 > 2, 2 >= 4 *new_span2Zs00(vuu3110, vuu3111, True, ba) -> new_span2Zs1(vuu3111, ba) The graph contains the following edges 2 >= 1, 4 >= 2 *new_span2Zs00(vuu3110, vuu3111, True, ba) -> new_span2Ys1(vuu3111, ba) The graph contains the following edges 2 >= 1, 4 >= 2 *new_span2Ys00(vuu3110, vuu3111, True, ba) -> new_span2Zs1(vuu3111, ba) The graph contains the following edges 2 >= 1, 4 >= 2 *new_span2Ys00(vuu3110, vuu3111, True, ba) -> new_span2Ys1(vuu3111, ba) The graph contains the following edges 2 >= 1, 4 >= 2 ---------------------------------------- (22) YES ---------------------------------------- (23) Obligation: Q DP problem: The TRS P consists of the following rules: new_primMulNat(Succ(vuu300000), Succ(vuu3100100)) -> new_primMulNat(vuu300000, Succ(vuu3100100)) R is empty. Q is empty. We have to consider all minimal (P,Q,R)-chains. ---------------------------------------- (24) QDPSizeChangeProof (EQUIVALENT) 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. From the DPs we obtained the following set of size-change graphs: *new_primMulNat(Succ(vuu300000), Succ(vuu3100100)) -> new_primMulNat(vuu300000, Succ(vuu3100100)) The graph contains the following edges 1 > 1, 2 >= 2 ---------------------------------------- (25) YES ---------------------------------------- (26) Obligation: Q DP problem: The TRS P consists of the following rules: new_primPlusNat(Succ(vuu4000), Succ(vuu31001000)) -> new_primPlusNat(vuu4000, vuu31001000) R is empty. Q is empty. We have to consider all minimal (P,Q,R)-chains. ---------------------------------------- (27) QDPSizeChangeProof (EQUIVALENT) 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. From the DPs we obtained the following set of size-change graphs: *new_primPlusNat(Succ(vuu4000), Succ(vuu31001000)) -> new_primPlusNat(vuu4000, vuu31001000) The graph contains the following edges 1 > 1, 2 > 2 ---------------------------------------- (28) YES ---------------------------------------- (29) Obligation: Q DP problem: The TRS P consists of the following rules: new_primEqNat(Succ(vuu30000), Succ(vuu310000)) -> new_primEqNat(vuu30000, vuu310000) R is empty. Q is empty. We have to consider all minimal (P,Q,R)-chains. ---------------------------------------- (30) QDPSizeChangeProof (EQUIVALENT) 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. From the DPs we obtained the following set of size-change graphs: *new_primEqNat(Succ(vuu30000), Succ(vuu310000)) -> new_primEqNat(vuu30000, vuu310000) The graph contains the following edges 1 > 1, 2 > 2 ---------------------------------------- (31) YES