/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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty H-Termination with start terms of the given HASKELL could be proven: (0) HASKELL (1) LR [EQUIVALENT, 0 ms] (2) HASKELL (3) BR [EQUIVALENT, 0 ms] (4)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, 8 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, 498 ms] (16) YES (17) QDP (18) QDPSizeChangeProof [EQUIVALENT, 29 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; " "span2Zs zv zw = span2Zs0 zv zw (span2Vu43 zv zw); " "span2Ys0 zv zw (ys,ww) = ys; " "span2Vu43 zv zw = span zv zw; " "span2Zs0 zv zw (wv,zs) = zs; " "span2Span0 zv zw p vz wu True = ([],vz : wu); " "span2Ys zv zw = span2Ys0 zv zw (span2Vu43 zv zw); " 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 "groupByZs1 zx zy zz (yw,zs) = zs; " "groupByZs zx zy zz = groupByZs1 zx zy zz (groupByVv10 zx zy zz); " "groupByYs zx zy zz = groupByYs1 zx zy zz (groupByVv10 zx zy zz); " "groupByYs1 zx zy zz (ys,yv) = ys; " "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"];988[label="vuu3/vuu30 : vuu31",fontsize=10,color="white",style="solid",shape="box"];4 -> 988[label="",style="solid", color="burlywood", weight=9]; 988 -> 5[label="",style="solid", color="burlywood", weight=3]; 989[label="vuu3/[]",fontsize=10,color="white",style="solid",shape="box"];4 -> 989[label="",style="solid", color="burlywood", weight=9]; 989 -> 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"];990[label="vuu31/vuu310 : vuu311",fontsize=10,color="white",style="solid",shape="box"];13 -> 990[label="",style="solid", color="burlywood", weight=9]; 990 -> 15[label="",style="solid", color="burlywood", weight=3]; 991[label="vuu31/[]",fontsize=10,color="white",style="solid",shape="box"];13 -> 991[label="",style="solid", color="burlywood", weight=9]; 991 -> 16[label="",style="solid", color="burlywood", weight=3]; 14[label="List.groupByZs1 (==) vuu30 vuu31 (List.groupByVv10 (==) vuu30 vuu31)",fontsize=16,color="black",shape="box"];14 -> 17[label="",style="solid", color="black", weight=3]; 15[label="List.groupByYs1 (==) vuu30 (vuu310 : vuu311) (span ((==) vuu30) (vuu310 : vuu311))",fontsize=16,color="black",shape="box"];15 -> 18[label="",style="solid", color="black", weight=3]; 16[label="List.groupByYs1 (==) vuu30 [] (span ((==) vuu30) [])",fontsize=16,color="black",shape="box"];16 -> 19[label="",style="solid", color="black", weight=3]; 17[label="List.groupByZs1 (==) vuu30 vuu31 (span ((==) vuu30) vuu31)",fontsize=16,color="burlywood",shape="box"];992[label="vuu31/vuu310 : vuu311",fontsize=10,color="white",style="solid",shape="box"];17 -> 992[label="",style="solid", color="burlywood", weight=9]; 992 -> 20[label="",style="solid", color="burlywood", weight=3]; 993[label="vuu31/[]",fontsize=10,color="white",style="solid",shape="box"];17 -> 993[label="",style="solid", color="burlywood", weight=9]; 993 -> 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 vuu310))",fontsize=16,color="burlywood",shape="box"];994[label="vuu30/Left vuu300",fontsize=10,color="white",style="solid",shape="box"];22 -> 994[label="",style="solid", color="burlywood", weight=9]; 994 -> 26[label="",style="solid", color="burlywood", weight=3]; 995[label="vuu30/Right vuu300",fontsize=10,color="white",style="solid",shape="box"];22 -> 995[label="",style="solid", color="burlywood", weight=9]; 995 -> 27[label="",style="solid", color="burlywood", weight=3]; 23[label="List.groupByYs1 (==) vuu30 [] ([],[])",fontsize=16,color="black",shape="box"];23 -> 28[label="",style="solid", color="black", weight=3]; 24[label="List.groupByZs1 (==) vuu30 (vuu310 : vuu311) (span2 ((==) vuu30) (vuu310 : vuu311))",fontsize=16,color="black",shape="box"];24 -> 29[label="",style="solid", color="black", weight=3]; 25[label="List.groupByZs1 (==) vuu30 [] (span3 ((==) vuu30) [])",fontsize=16,color="black",shape="box"];25 -> 30[label="",style="solid", color="black", weight=3]; 26[label="List.groupByYs1 (==) (Left vuu300) (vuu310 : vuu311) (span2Span1 ((==) Left vuu300) vuu311 ((==) Left vuu300) vuu310 vuu311 ((==) Left vuu300 vuu310))",fontsize=16,color="burlywood",shape="box"];996[label="vuu310/Left vuu3100",fontsize=10,color="white",style="solid",shape="box"];26 -> 996[label="",style="solid", color="burlywood", weight=9]; 996 -> 31[label="",style="solid", color="burlywood", weight=3]; 997[label="vuu310/Right vuu3100",fontsize=10,color="white",style="solid",shape="box"];26 -> 997[label="",style="solid", color="burlywood", weight=9]; 997 -> 32[label="",style="solid", color="burlywood", weight=3]; 27[label="List.groupByYs1 (==) (Right vuu300) (vuu310 : vuu311) (span2Span1 ((==) Right vuu300) vuu311 ((==) Right vuu300) vuu310 vuu311 ((==) Right vuu300 vuu310))",fontsize=16,color="burlywood",shape="box"];998[label="vuu310/Left vuu3100",fontsize=10,color="white",style="solid",shape="box"];27 -> 998[label="",style="solid", color="burlywood", weight=9]; 998 -> 33[label="",style="solid", color="burlywood", weight=3]; 999[label="vuu310/Right vuu3100",fontsize=10,color="white",style="solid",shape="box"];27 -> 999[label="",style="solid", color="burlywood", weight=9]; 999 -> 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"];1000[label="vuu30/Left vuu300",fontsize=10,color="white",style="solid",shape="box"];29 -> 1000[label="",style="solid", color="burlywood", weight=9]; 1000 -> 35[label="",style="solid", color="burlywood", weight=3]; 1001[label="vuu30/Right vuu300",fontsize=10,color="white",style="solid",shape="box"];29 -> 1001[label="",style="solid", color="burlywood", weight=9]; 1001 -> 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 (==) (Left vuu300) (Left vuu3100 : vuu311) (span2Span1 ((==) Left vuu300) vuu311 ((==) Left vuu300) (Left vuu3100) vuu311 ((==) Left vuu300 Left vuu3100))",fontsize=16,color="black",shape="box"];31 -> 38[label="",style="solid", color="black", weight=3]; 32[label="List.groupByYs1 (==) (Left vuu300) (Right vuu3100 : vuu311) (span2Span1 ((==) Left vuu300) vuu311 ((==) Left vuu300) (Right vuu3100) vuu311 ((==) Left vuu300 Right vuu3100))",fontsize=16,color="black",shape="box"];32 -> 39[label="",style="solid", color="black", weight=3]; 33[label="List.groupByYs1 (==) (Right vuu300) (Left vuu3100 : vuu311) (span2Span1 ((==) Right vuu300) vuu311 ((==) Right vuu300) (Left vuu3100) vuu311 ((==) Right vuu300 Left vuu3100))",fontsize=16,color="black",shape="box"];33 -> 40[label="",style="solid", color="black", weight=3]; 34[label="List.groupByYs1 (==) (Right vuu300) (Right vuu3100 : vuu311) (span2Span1 ((==) Right vuu300) vuu311 ((==) Right vuu300) (Right vuu3100) vuu311 ((==) Right vuu300 Right vuu3100))",fontsize=16,color="black",shape="box"];34 -> 41[label="",style="solid", color="black", weight=3]; 35[label="List.groupByZs1 (==) (Left vuu300) (vuu310 : vuu311) (span2Span1 ((==) Left vuu300) vuu311 ((==) Left vuu300) vuu310 vuu311 ((==) Left vuu300 vuu310))",fontsize=16,color="burlywood",shape="box"];1002[label="vuu310/Left vuu3100",fontsize=10,color="white",style="solid",shape="box"];35 -> 1002[label="",style="solid", color="burlywood", weight=9]; 1002 -> 42[label="",style="solid", color="burlywood", weight=3]; 1003[label="vuu310/Right vuu3100",fontsize=10,color="white",style="solid",shape="box"];35 -> 1003[label="",style="solid", color="burlywood", weight=9]; 1003 -> 43[label="",style="solid", color="burlywood", weight=3]; 36[label="List.groupByZs1 (==) (Right vuu300) (vuu310 : vuu311) (span2Span1 ((==) Right vuu300) vuu311 ((==) Right 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color="magenta", weight=3]; 38 -> 50[label="",style="dashed", color="magenta", weight=3]; 39[label="List.groupByYs1 (==) (Left vuu300) (Right vuu3100 : vuu311) (span2Span1 ((==) Left vuu300) vuu311 ((==) Left vuu300) (Right vuu3100) vuu311 False)",fontsize=16,color="black",shape="box"];39 -> 51[label="",style="solid", color="black", weight=3]; 40[label="List.groupByYs1 (==) (Right vuu300) (Left vuu3100 : vuu311) (span2Span1 ((==) Right vuu300) vuu311 ((==) Right vuu300) (Left vuu3100) vuu311 False)",fontsize=16,color="black",shape="box"];40 -> 52[label="",style="solid", color="black", weight=3]; 41 -> 53[label="",style="dashed", color="red", weight=0]; 41[label="List.groupByYs1 (==) (Right vuu300) (Right vuu3100 : vuu311) (span2Span1 ((==) Right vuu300) vuu311 ((==) Right vuu300) (Right vuu3100) vuu311 (vuu300 == vuu3100))",fontsize=16,color="magenta"];41 -> 54[label="",style="dashed", color="magenta", weight=3]; 41 -> 55[label="",style="dashed", color="magenta", weight=3]; 41 -> 56[label="",style="dashed", color="magenta", weight=3]; 41 -> 57[label="",style="dashed", color="magenta", weight=3]; 42[label="List.groupByZs1 (==) (Left vuu300) (Left vuu3100 : vuu311) (span2Span1 ((==) Left vuu300) vuu311 ((==) Left vuu300) (Left vuu3100) vuu311 ((==) Left vuu300 Left vuu3100))",fontsize=16,color="black",shape="box"];42 -> 58[label="",style="solid", color="black", weight=3]; 43[label="List.groupByZs1 (==) (Left vuu300) (Right vuu3100 : vuu311) (span2Span1 ((==) Left vuu300) vuu311 ((==) Left vuu300) (Right vuu3100) vuu311 ((==) Left vuu300 Right vuu3100))",fontsize=16,color="black",shape="box"];43 -> 59[label="",style="solid", color="black", weight=3]; 44[label="List.groupByZs1 (==) (Right vuu300) (Left vuu3100 : vuu311) (span2Span1 ((==) Right vuu300) vuu311 ((==) Right vuu300) (Left vuu3100) vuu311 ((==) Right vuu300 Left vuu3100))",fontsize=16,color="black",shape="box"];44 -> 60[label="",style="solid", color="black", weight=3]; 45[label="List.groupByZs1 (==) (Right vuu300) (Right vuu3100 : vuu311) (span2Span1 ((==) Right vuu300) vuu311 ((==) Right vuu300) (Right vuu3100) vuu311 ((==) Right vuu300 Right vuu3100))",fontsize=16,color="black",shape="box"];45 -> 61[label="",style="solid", color="black", weight=3]; 47[label="vuu311",fontsize=16,color="green",shape="box"];48[label="vuu3100",fontsize=16,color="green",shape="box"];49[label="vuu300 == vuu3100",fontsize=16,color="blue",shape="box"];1006[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];49 -> 1006[label="",style="solid", color="blue", weight=9]; 1006 -> 62[label="",style="solid", color="blue", weight=3]; 1007[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];49 -> 1007[label="",style="solid", color="blue", weight=9]; 1007 -> 63[label="",style="solid", color="blue", weight=3]; 1008[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];49 -> 1008[label="",style="solid", color="blue", weight=9]; 1008 -> 64[label="",style="solid", color="blue", weight=3]; 1009[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];49 -> 1009[label="",style="solid", color="blue", weight=9]; 1009 -> 65[label="",style="solid", color="blue", weight=3]; 1010[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];49 -> 1010[label="",style="solid", color="blue", weight=9]; 1010 -> 66[label="",style="solid", color="blue", weight=3]; 1011[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];49 -> 1011[label="",style="solid", color="blue", weight=9]; 1011 -> 67[label="",style="solid", color="blue", weight=3]; 1012[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];49 -> 1012[label="",style="solid", color="blue", weight=9]; 1012 -> 68[label="",style="solid", color="blue", weight=3]; 1013[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];49 -> 1013[label="",style="solid", color="blue", weight=9]; 1013 -> 69[label="",style="solid", color="blue", weight=3]; 1014[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];49 -> 1014[label="",style="solid", color="blue", weight=9]; 1014 -> 70[label="",style="solid", color="blue", weight=3]; 1015[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];49 -> 1015[label="",style="solid", color="blue", weight=9]; 1015 -> 71[label="",style="solid", color="blue", weight=3]; 1016[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];49 -> 1016[label="",style="solid", color="blue", weight=9]; 1016 -> 72[label="",style="solid", color="blue", weight=3]; 1017[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];49 -> 1017[label="",style="solid", color="blue", weight=9]; 1017 -> 73[label="",style="solid", color="blue", weight=3]; 1018[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];49 -> 1018[label="",style="solid", color="blue", weight=9]; 1018 -> 74[label="",style="solid", color="blue", weight=3]; 1019[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];49 -> 1019[label="",style="solid", color="blue", weight=9]; 1019 -> 75[label="",style="solid", color="blue", weight=3]; 50[label="vuu300",fontsize=16,color="green",shape="box"];46[label="List.groupByYs1 (==) (Left vuu9) (Left vuu10 : vuu11) (span2Span1 ((==) Left vuu9) vuu11 ((==) Left vuu9) (Left vuu10) vuu11 vuu12)",fontsize=16,color="burlywood",shape="triangle"];1020[label="vuu12/False",fontsize=10,color="white",style="solid",shape="box"];46 -> 1020[label="",style="solid", color="burlywood", weight=9]; 1020 -> 76[label="",style="solid", color="burlywood", weight=3]; 1021[label="vuu12/True",fontsize=10,color="white",style="solid",shape="box"];46 -> 1021[label="",style="solid", color="burlywood", weight=9]; 1021 -> 77[label="",style="solid", color="burlywood", weight=3]; 51[label="List.groupByYs1 (==) (Left vuu300) (Right vuu3100 : vuu311) (span2Span0 ((==) Left vuu300) vuu311 ((==) Left vuu300) (Right vuu3100) vuu311 otherwise)",fontsize=16,color="black",shape="box"];51 -> 78[label="",style="solid", color="black", weight=3]; 52[label="List.groupByYs1 (==) (Right vuu300) (Left vuu3100 : vuu311) (span2Span0 ((==) Right vuu300) vuu311 ((==) Right vuu300) (Left vuu3100) vuu311 otherwise)",fontsize=16,color="black",shape="box"];52 -> 79[label="",style="solid", color="black", weight=3]; 54[label="vuu300",fontsize=16,color="green",shape="box"];55[label="vuu311",fontsize=16,color="green",shape="box"];56[label="vuu3100",fontsize=16,color="green",shape="box"];57[label="vuu300 == vuu3100",fontsize=16,color="blue",shape="box"];1022[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];57 -> 1022[label="",style="solid", color="blue", weight=9]; 1022 -> 80[label="",style="solid", color="blue", weight=3]; 1023[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];57 -> 1023[label="",style="solid", color="blue", weight=9]; 1023 -> 81[label="",style="solid", color="blue", weight=3]; 1024[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];57 -> 1024[label="",style="solid", color="blue", weight=9]; 1024 -> 82[label="",style="solid", color="blue", weight=3]; 1025[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];57 -> 1025[label="",style="solid", color="blue", weight=9]; 1025 -> 83[label="",style="solid", color="blue", weight=3]; 1026[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];57 -> 1026[label="",style="solid", color="blue", weight=9]; 1026 -> 84[label="",style="solid", color="blue", weight=3]; 1027[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];57 -> 1027[label="",style="solid", color="blue", weight=9]; 1027 -> 85[label="",style="solid", color="blue", weight=3]; 1028[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];57 -> 1028[label="",style="solid", color="blue", weight=9]; 1028 -> 86[label="",style="solid", color="blue", weight=3]; 1029[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];57 -> 1029[label="",style="solid", color="blue", weight=9]; 1029 -> 87[label="",style="solid", color="blue", weight=3]; 1030[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];57 -> 1030[label="",style="solid", color="blue", weight=9]; 1030 -> 88[label="",style="solid", color="blue", weight=3]; 1031[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];57 -> 1031[label="",style="solid", color="blue", weight=9]; 1031 -> 89[label="",style="solid", color="blue", weight=3]; 1032[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];57 -> 1032[label="",style="solid", color="blue", weight=9]; 1032 -> 90[label="",style="solid", color="blue", weight=3]; 1033[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];57 -> 1033[label="",style="solid", color="blue", weight=9]; 1033 -> 91[label="",style="solid", color="blue", weight=3]; 1034[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];57 -> 1034[label="",style="solid", color="blue", weight=9]; 1034 -> 92[label="",style="solid", color="blue", weight=3]; 1035[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];57 -> 1035[label="",style="solid", color="blue", weight=9]; 1035 -> 93[label="",style="solid", color="blue", weight=3]; 53[label="List.groupByYs1 (==) (Right vuu18) (Right vuu19 : vuu20) (span2Span1 ((==) Right vuu18) vuu20 ((==) Right vuu18) (Right vuu19) vuu20 vuu21)",fontsize=16,color="burlywood",shape="triangle"];1036[label="vuu21/False",fontsize=10,color="white",style="solid",shape="box"];53 -> 1036[label="",style="solid", color="burlywood", weight=9]; 1036 -> 94[label="",style="solid", color="burlywood", weight=3]; 1037[label="vuu21/True",fontsize=10,color="white",style="solid",shape="box"];53 -> 1037[label="",style="solid", color="burlywood", weight=9]; 1037 -> 95[label="",style="solid", color="burlywood", weight=3]; 58 -> 96[label="",style="dashed", color="red", weight=0]; 58[label="List.groupByZs1 (==) (Left vuu300) (Left vuu3100 : vuu311) (span2Span1 ((==) Left vuu300) vuu311 ((==) Left vuu300) (Left vuu3100) vuu311 (vuu300 == vuu3100))",fontsize=16,color="magenta"];58 -> 97[label="",style="dashed", color="magenta", weight=3]; 58 -> 98[label="",style="dashed", color="magenta", weight=3]; 58 -> 99[label="",style="dashed", color="magenta", weight=3]; 58 -> 100[label="",style="dashed", color="magenta", weight=3]; 59[label="List.groupByZs1 (==) (Left vuu300) (Right vuu3100 : vuu311) (span2Span1 ((==) Left vuu300) vuu311 ((==) Left vuu300) (Right vuu3100) vuu311 False)",fontsize=16,color="black",shape="box"];59 -> 101[label="",style="solid", color="black", weight=3]; 60[label="List.groupByZs1 (==) (Right vuu300) (Left vuu3100 : vuu311) (span2Span1 ((==) Right vuu300) vuu311 ((==) Right vuu300) (Left vuu3100) vuu311 False)",fontsize=16,color="black",shape="box"];60 -> 102[label="",style="solid", color="black", weight=3]; 61 -> 103[label="",style="dashed", color="red", weight=0]; 61[label="List.groupByZs1 (==) (Right vuu300) (Right vuu3100 : vuu311) (span2Span1 ((==) Right vuu300) vuu311 ((==) Right vuu300) (Right vuu3100) vuu311 (vuu300 == vuu3100))",fontsize=16,color="magenta"];61 -> 104[label="",style="dashed", color="magenta", weight=3]; 61 -> 105[label="",style="dashed", color="magenta", weight=3]; 61 -> 106[label="",style="dashed", color="magenta", weight=3]; 61 -> 107[label="",style="dashed", color="magenta", weight=3]; 62[label="vuu300 == vuu3100",fontsize=16,color="burlywood",shape="triangle"];1038[label="vuu300/()",fontsize=10,color="white",style="solid",shape="box"];62 -> 1038[label="",style="solid", color="burlywood", weight=9]; 1038 -> 108[label="",style="solid", color="burlywood", weight=3]; 63[label="vuu300 == vuu3100",fontsize=16,color="burlywood",shape="triangle"];1039[label="vuu300/Integer vuu3000",fontsize=10,color="white",style="solid",shape="box"];63 -> 1039[label="",style="solid", color="burlywood", weight=9]; 1039 -> 109[label="",style="solid", color="burlywood", weight=3]; 64[label="vuu300 == vuu3100",fontsize=16,color="burlywood",shape="triangle"];1040[label="vuu300/Left vuu3000",fontsize=10,color="white",style="solid",shape="box"];64 -> 1040[label="",style="solid", color="burlywood", weight=9]; 1040 -> 110[label="",style="solid", color="burlywood", weight=3]; 1041[label="vuu300/Right vuu3000",fontsize=10,color="white",style="solid",shape="box"];64 -> 1041[label="",style="solid", color="burlywood", weight=9]; 1041 -> 111[label="",style="solid", color="burlywood", weight=3]; 65[label="vuu300 == vuu3100",fontsize=16,color="burlywood",shape="triangle"];1042[label="vuu300/(vuu3000,vuu3001,vuu3002)",fontsize=10,color="white",style="solid",shape="box"];65 -> 1042[label="",style="solid", color="burlywood", weight=9]; 1042 -> 112[label="",style="solid", color="burlywood", weight=3]; 66[label="vuu300 == vuu3100",fontsize=16,color="black",shape="triangle"];66 -> 113[label="",style="solid", color="black", weight=3]; 67[label="vuu300 == vuu3100",fontsize=16,color="burlywood",shape="triangle"];1043[label="vuu300/LT",fontsize=10,color="white",style="solid",shape="box"];67 -> 1043[label="",style="solid", color="burlywood", weight=9]; 1043 -> 114[label="",style="solid", color="burlywood", weight=3]; 1044[label="vuu300/EQ",fontsize=10,color="white",style="solid",shape="box"];67 -> 1044[label="",style="solid", color="burlywood", weight=9]; 1044 -> 115[label="",style="solid", color="burlywood", weight=3]; 1045[label="vuu300/GT",fontsize=10,color="white",style="solid",shape="box"];67 -> 1045[label="",style="solid", color="burlywood", weight=9]; 1045 -> 116[label="",style="solid", color="burlywood", weight=3]; 68[label="vuu300 == vuu3100",fontsize=16,color="burlywood",shape="triangle"];1046[label="vuu300/(vuu3000,vuu3001)",fontsize=10,color="white",style="solid",shape="box"];68 -> 1046[label="",style="solid", color="burlywood", weight=9]; 1046 -> 117[label="",style="solid", color="burlywood", weight=3]; 69[label="vuu300 == vuu3100",fontsize=16,color="black",shape="triangle"];69 -> 118[label="",style="solid", color="black", weight=3]; 70[label="vuu300 == vuu3100",fontsize=16,color="burlywood",shape="triangle"];1047[label="vuu300/Nothing",fontsize=10,color="white",style="solid",shape="box"];70 -> 1047[label="",style="solid", color="burlywood", weight=9]; 1047 -> 119[label="",style="solid", color="burlywood", weight=3]; 1048[label="vuu300/Just vuu3000",fontsize=10,color="white",style="solid",shape="box"];70 -> 1048[label="",style="solid", color="burlywood", weight=9]; 1048 -> 120[label="",style="solid", color="burlywood", weight=3]; 71[label="vuu300 == vuu3100",fontsize=16,color="burlywood",shape="triangle"];1049[label="vuu300/vuu3000 : vuu3001",fontsize=10,color="white",style="solid",shape="box"];71 -> 1049[label="",style="solid", color="burlywood", weight=9]; 1049 -> 121[label="",style="solid", color="burlywood", weight=3]; 1050[label="vuu300/[]",fontsize=10,color="white",style="solid",shape="box"];71 -> 1050[label="",style="solid", color="burlywood", weight=9]; 1050 -> 122[label="",style="solid", color="burlywood", weight=3]; 72[label="vuu300 == vuu3100",fontsize=16,color="black",shape="triangle"];72 -> 123[label="",style="solid", color="black", weight=3]; 73[label="vuu300 == vuu3100",fontsize=16,color="burlywood",shape="triangle"];1051[label="vuu300/False",fontsize=10,color="white",style="solid",shape="box"];73 -> 1051[label="",style="solid", color="burlywood", weight=9]; 1051 -> 124[label="",style="solid", color="burlywood", weight=3]; 1052[label="vuu300/True",fontsize=10,color="white",style="solid",shape="box"];73 -> 1052[label="",style="solid", color="burlywood", weight=9]; 1052 -> 125[label="",style="solid", color="burlywood", weight=3]; 74[label="vuu300 == vuu3100",fontsize=16,color="black",shape="triangle"];74 -> 126[label="",style="solid", color="black", weight=3]; 75[label="vuu300 == vuu3100",fontsize=16,color="burlywood",shape="triangle"];1053[label="vuu300/vuu3000 :% vuu3001",fontsize=10,color="white",style="solid",shape="box"];75 -> 1053[label="",style="solid", color="burlywood", weight=9]; 1053 -> 127[label="",style="solid", color="burlywood", weight=3]; 76[label="List.groupByYs1 (==) (Left vuu9) (Left vuu10 : vuu11) (span2Span1 ((==) Left vuu9) vuu11 ((==) Left vuu9) (Left vuu10) vuu11 False)",fontsize=16,color="black",shape="box"];76 -> 128[label="",style="solid", color="black", weight=3]; 77[label="List.groupByYs1 (==) (Left vuu9) (Left vuu10 : vuu11) (span2Span1 ((==) Left vuu9) vuu11 ((==) Left vuu9) (Left vuu10) vuu11 True)",fontsize=16,color="black",shape="box"];77 -> 129[label="",style="solid", color="black", weight=3]; 78[label="List.groupByYs1 (==) (Left vuu300) (Right vuu3100 : vuu311) (span2Span0 ((==) Left vuu300) vuu311 ((==) Left vuu300) (Right vuu3100) vuu311 True)",fontsize=16,color="black",shape="box"];78 -> 130[label="",style="solid", color="black", weight=3]; 79[label="List.groupByYs1 (==) (Right vuu300) (Left vuu3100 : vuu311) (span2Span0 ((==) Right vuu300) vuu311 ((==) Right vuu300) (Left vuu3100) vuu311 True)",fontsize=16,color="black",shape="box"];79 -> 131[label="",style="solid", color="black", weight=3]; 80 -> 62[label="",style="dashed", color="red", weight=0]; 80[label="vuu300 == vuu3100",fontsize=16,color="magenta"];80 -> 132[label="",style="dashed", color="magenta", weight=3]; 80 -> 133[label="",style="dashed", color="magenta", weight=3]; 81 -> 63[label="",style="dashed", color="red", weight=0]; 81[label="vuu300 == vuu3100",fontsize=16,color="magenta"];81 -> 134[label="",style="dashed", color="magenta", weight=3]; 81 -> 135[label="",style="dashed", color="magenta", weight=3]; 82 -> 64[label="",style="dashed", color="red", weight=0]; 82[label="vuu300 == vuu3100",fontsize=16,color="magenta"];82 -> 136[label="",style="dashed", color="magenta", weight=3]; 82 -> 137[label="",style="dashed", color="magenta", weight=3]; 83 -> 65[label="",style="dashed", color="red", weight=0]; 83[label="vuu300 == vuu3100",fontsize=16,color="magenta"];83 -> 138[label="",style="dashed", color="magenta", weight=3]; 83 -> 139[label="",style="dashed", color="magenta", weight=3]; 84 -> 66[label="",style="dashed", color="red", weight=0]; 84[label="vuu300 == vuu3100",fontsize=16,color="magenta"];84 -> 140[label="",style="dashed", color="magenta", weight=3]; 84 -> 141[label="",style="dashed", color="magenta", weight=3]; 85 -> 67[label="",style="dashed", color="red", weight=0]; 85[label="vuu300 == vuu3100",fontsize=16,color="magenta"];85 -> 142[label="",style="dashed", color="magenta", weight=3]; 85 -> 143[label="",style="dashed", color="magenta", weight=3]; 86 -> 68[label="",style="dashed", color="red", weight=0]; 86[label="vuu300 == vuu3100",fontsize=16,color="magenta"];86 -> 144[label="",style="dashed", color="magenta", weight=3]; 86 -> 145[label="",style="dashed", color="magenta", weight=3]; 87 -> 69[label="",style="dashed", color="red", weight=0]; 87[label="vuu300 == vuu3100",fontsize=16,color="magenta"];87 -> 146[label="",style="dashed", color="magenta", weight=3]; 87 -> 147[label="",style="dashed", color="magenta", weight=3]; 88 -> 70[label="",style="dashed", color="red", weight=0]; 88[label="vuu300 == vuu3100",fontsize=16,color="magenta"];88 -> 148[label="",style="dashed", color="magenta", weight=3]; 88 -> 149[label="",style="dashed", color="magenta", weight=3]; 89 -> 71[label="",style="dashed", color="red", weight=0]; 89[label="vuu300 == vuu3100",fontsize=16,color="magenta"];89 -> 150[label="",style="dashed", color="magenta", weight=3]; 89 -> 151[label="",style="dashed", color="magenta", weight=3]; 90 -> 72[label="",style="dashed", color="red", weight=0]; 90[label="vuu300 == vuu3100",fontsize=16,color="magenta"];90 -> 152[label="",style="dashed", color="magenta", weight=3]; 90 -> 153[label="",style="dashed", color="magenta", weight=3]; 91 -> 73[label="",style="dashed", color="red", weight=0]; 91[label="vuu300 == vuu3100",fontsize=16,color="magenta"];91 -> 154[label="",style="dashed", color="magenta", weight=3]; 91 -> 155[label="",style="dashed", color="magenta", weight=3]; 92 -> 74[label="",style="dashed", color="red", weight=0]; 92[label="vuu300 == vuu3100",fontsize=16,color="magenta"];92 -> 156[label="",style="dashed", color="magenta", weight=3]; 92 -> 157[label="",style="dashed", color="magenta", weight=3]; 93 -> 75[label="",style="dashed", color="red", weight=0]; 93[label="vuu300 == vuu3100",fontsize=16,color="magenta"];93 -> 158[label="",style="dashed", color="magenta", weight=3]; 93 -> 159[label="",style="dashed", color="magenta", weight=3]; 94[label="List.groupByYs1 (==) (Right vuu18) (Right vuu19 : vuu20) (span2Span1 ((==) Right vuu18) vuu20 ((==) Right vuu18) (Right vuu19) vuu20 False)",fontsize=16,color="black",shape="box"];94 -> 160[label="",style="solid", color="black", weight=3]; 95[label="List.groupByYs1 (==) (Right vuu18) (Right vuu19 : vuu20) (span2Span1 ((==) Right vuu18) vuu20 ((==) Right vuu18) (Right vuu19) vuu20 True)",fontsize=16,color="black",shape="box"];95 -> 161[label="",style="solid", color="black", weight=3]; 97[label="vuu3100",fontsize=16,color="green",shape="box"];98[label="vuu311",fontsize=16,color="green",shape="box"];99[label="vuu300 == vuu3100",fontsize=16,color="blue",shape="box"];1054[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];99 -> 1054[label="",style="solid", color="blue", weight=9]; 1054 -> 162[label="",style="solid", color="blue", weight=3]; 1055[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];99 -> 1055[label="",style="solid", color="blue", weight=9]; 1055 -> 163[label="",style="solid", color="blue", weight=3]; 1056[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];99 -> 1056[label="",style="solid", color="blue", weight=9]; 1056 -> 164[label="",style="solid", color="blue", weight=3]; 1057[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];99 -> 1057[label="",style="solid", color="blue", weight=9]; 1057 -> 165[label="",style="solid", color="blue", weight=3]; 1058[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];99 -> 1058[label="",style="solid", color="blue", weight=9]; 1058 -> 166[label="",style="solid", color="blue", weight=3]; 1059[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];99 -> 1059[label="",style="solid", color="blue", weight=9]; 1059 -> 167[label="",style="solid", color="blue", weight=3]; 1060[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];99 -> 1060[label="",style="solid", color="blue", weight=9]; 1060 -> 168[label="",style="solid", color="blue", weight=3]; 1061[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];99 -> 1061[label="",style="solid", color="blue", weight=9]; 1061 -> 169[label="",style="solid", color="blue", weight=3]; 1062[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];99 -> 1062[label="",style="solid", color="blue", weight=9]; 1062 -> 170[label="",style="solid", color="blue", weight=3]; 1063[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];99 -> 1063[label="",style="solid", color="blue", weight=9]; 1063 -> 171[label="",style="solid", color="blue", weight=3]; 1064[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];99 -> 1064[label="",style="solid", color="blue", weight=9]; 1064 -> 172[label="",style="solid", color="blue", weight=3]; 1065[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];99 -> 1065[label="",style="solid", color="blue", weight=9]; 1065 -> 173[label="",style="solid", color="blue", weight=3]; 1066[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];99 -> 1066[label="",style="solid", color="blue", weight=9]; 1066 -> 174[label="",style="solid", color="blue", weight=3]; 1067[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];99 -> 1067[label="",style="solid", color="blue", weight=9]; 1067 -> 175[label="",style="solid", color="blue", weight=3]; 100[label="vuu300",fontsize=16,color="green",shape="box"];96[label="List.groupByZs1 (==) (Left vuu27) (Left vuu28 : vuu29) (span2Span1 ((==) Left vuu27) vuu29 ((==) Left vuu27) (Left vuu28) vuu29 vuu30)",fontsize=16,color="burlywood",shape="triangle"];1068[label="vuu30/False",fontsize=10,color="white",style="solid",shape="box"];96 -> 1068[label="",style="solid", color="burlywood", weight=9]; 1068 -> 176[label="",style="solid", color="burlywood", weight=3]; 1069[label="vuu30/True",fontsize=10,color="white",style="solid",shape="box"];96 -> 1069[label="",style="solid", color="burlywood", weight=9]; 1069 -> 177[label="",style="solid", color="burlywood", weight=3]; 101[label="List.groupByZs1 (==) (Left vuu300) (Right vuu3100 : vuu311) (span2Span0 ((==) Left vuu300) vuu311 ((==) Left vuu300) (Right vuu3100) vuu311 otherwise)",fontsize=16,color="black",shape="box"];101 -> 178[label="",style="solid", color="black", weight=3]; 102[label="List.groupByZs1 (==) (Right vuu300) (Left vuu3100 : vuu311) (span2Span0 ((==) Right vuu300) vuu311 ((==) Right vuu300) (Left vuu3100) vuu311 otherwise)",fontsize=16,color="black",shape="box"];102 -> 179[label="",style="solid", color="black", weight=3]; 104[label="vuu3100",fontsize=16,color="green",shape="box"];105[label="vuu300 == vuu3100",fontsize=16,color="blue",shape="box"];1070[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];105 -> 1070[label="",style="solid", color="blue", weight=9]; 1070 -> 180[label="",style="solid", color="blue", weight=3]; 1071[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];105 -> 1071[label="",style="solid", color="blue", weight=9]; 1071 -> 181[label="",style="solid", color="blue", weight=3]; 1072[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];105 -> 1072[label="",style="solid", color="blue", weight=9]; 1072 -> 182[label="",style="solid", color="blue", weight=3]; 1073[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];105 -> 1073[label="",style="solid", color="blue", weight=9]; 1073 -> 183[label="",style="solid", color="blue", weight=3]; 1074[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];105 -> 1074[label="",style="solid", color="blue", weight=9]; 1074 -> 184[label="",style="solid", color="blue", weight=3]; 1075[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];105 -> 1075[label="",style="solid", color="blue", weight=9]; 1075 -> 185[label="",style="solid", color="blue", weight=3]; 1076[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];105 -> 1076[label="",style="solid", color="blue", weight=9]; 1076 -> 186[label="",style="solid", color="blue", weight=3]; 1077[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];105 -> 1077[label="",style="solid", color="blue", weight=9]; 1077 -> 187[label="",style="solid", color="blue", weight=3]; 1078[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];105 -> 1078[label="",style="solid", color="blue", weight=9]; 1078 -> 188[label="",style="solid", color="blue", weight=3]; 1079[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];105 -> 1079[label="",style="solid", color="blue", weight=9]; 1079 -> 189[label="",style="solid", color="blue", weight=3]; 1080[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];105 -> 1080[label="",style="solid", color="blue", weight=9]; 1080 -> 190[label="",style="solid", color="blue", weight=3]; 1081[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];105 -> 1081[label="",style="solid", color="blue", weight=9]; 1081 -> 191[label="",style="solid", color="blue", weight=3]; 1082[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];105 -> 1082[label="",style="solid", color="blue", weight=9]; 1082 -> 192[label="",style="solid", color="blue", weight=3]; 1083[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];105 -> 1083[label="",style="solid", color="blue", weight=9]; 1083 -> 193[label="",style="solid", color="blue", weight=3]; 106[label="vuu300",fontsize=16,color="green",shape="box"];107[label="vuu311",fontsize=16,color="green",shape="box"];103[label="List.groupByZs1 (==) (Right vuu36) (Right vuu37 : vuu38) (span2Span1 ((==) Right vuu36) vuu38 ((==) Right vuu36) (Right vuu37) vuu38 vuu39)",fontsize=16,color="burlywood",shape="triangle"];1084[label="vuu39/False",fontsize=10,color="white",style="solid",shape="box"];103 -> 1084[label="",style="solid", color="burlywood", weight=9]; 1084 -> 194[label="",style="solid", color="burlywood", weight=3]; 1085[label="vuu39/True",fontsize=10,color="white",style="solid",shape="box"];103 -> 1085[label="",style="solid", color="burlywood", weight=9]; 1085 -> 195[label="",style="solid", color="burlywood", weight=3]; 108[label="() == vuu3100",fontsize=16,color="burlywood",shape="box"];1086[label="vuu3100/()",fontsize=10,color="white",style="solid",shape="box"];108 -> 1086[label="",style="solid", color="burlywood", weight=9]; 1086 -> 196[label="",style="solid", color="burlywood", weight=3]; 109[label="Integer vuu3000 == vuu3100",fontsize=16,color="burlywood",shape="box"];1087[label="vuu3100/Integer vuu31000",fontsize=10,color="white",style="solid",shape="box"];109 -> 1087[label="",style="solid", color="burlywood", weight=9]; 1087 -> 197[label="",style="solid", color="burlywood", weight=3]; 110[label="Left vuu3000 == vuu3100",fontsize=16,color="burlywood",shape="box"];1088[label="vuu3100/Left vuu31000",fontsize=10,color="white",style="solid",shape="box"];110 -> 1088[label="",style="solid", color="burlywood", weight=9]; 1088 -> 198[label="",style="solid", color="burlywood", weight=3]; 1089[label="vuu3100/Right vuu31000",fontsize=10,color="white",style="solid",shape="box"];110 -> 1089[label="",style="solid", color="burlywood", weight=9]; 1089 -> 199[label="",style="solid", color="burlywood", weight=3]; 111[label="Right vuu3000 == vuu3100",fontsize=16,color="burlywood",shape="box"];1090[label="vuu3100/Left vuu31000",fontsize=10,color="white",style="solid",shape="box"];111 -> 1090[label="",style="solid", color="burlywood", weight=9]; 1090 -> 200[label="",style="solid", color="burlywood", weight=3]; 1091[label="vuu3100/Right vuu31000",fontsize=10,color="white",style="solid",shape="box"];111 -> 1091[label="",style="solid", color="burlywood", weight=9]; 1091 -> 201[label="",style="solid", color="burlywood", weight=3]; 112[label="(vuu3000,vuu3001,vuu3002) == vuu3100",fontsize=16,color="burlywood",shape="box"];1092[label="vuu3100/(vuu31000,vuu31001,vuu31002)",fontsize=10,color="white",style="solid",shape="box"];112 -> 1092[label="",style="solid", color="burlywood", weight=9]; 1092 -> 202[label="",style="solid", color="burlywood", weight=3]; 113[label="primEqDouble vuu300 vuu3100",fontsize=16,color="burlywood",shape="box"];1093[label="vuu300/Double vuu3000 vuu3001",fontsize=10,color="white",style="solid",shape="box"];113 -> 1093[label="",style="solid", color="burlywood", weight=9]; 1093 -> 203[label="",style="solid", color="burlywood", weight=3]; 114[label="LT == vuu3100",fontsize=16,color="burlywood",shape="box"];1094[label="vuu3100/LT",fontsize=10,color="white",style="solid",shape="box"];114 -> 1094[label="",style="solid", color="burlywood", weight=9]; 1094 -> 204[label="",style="solid", color="burlywood", weight=3]; 1095[label="vuu3100/EQ",fontsize=10,color="white",style="solid",shape="box"];114 -> 1095[label="",style="solid", color="burlywood", weight=9]; 1095 -> 205[label="",style="solid", color="burlywood", weight=3]; 1096[label="vuu3100/GT",fontsize=10,color="white",style="solid",shape="box"];114 -> 1096[label="",style="solid", color="burlywood", weight=9]; 1096 -> 206[label="",style="solid", color="burlywood", weight=3]; 115[label="EQ == vuu3100",fontsize=16,color="burlywood",shape="box"];1097[label="vuu3100/LT",fontsize=10,color="white",style="solid",shape="box"];115 -> 1097[label="",style="solid", color="burlywood", weight=9]; 1097 -> 207[label="",style="solid", color="burlywood", weight=3]; 1098[label="vuu3100/EQ",fontsize=10,color="white",style="solid",shape="box"];115 -> 1098[label="",style="solid", color="burlywood", weight=9]; 1098 -> 208[label="",style="solid", color="burlywood", weight=3]; 1099[label="vuu3100/GT",fontsize=10,color="white",style="solid",shape="box"];115 -> 1099[label="",style="solid", color="burlywood", weight=9]; 1099 -> 209[label="",style="solid", color="burlywood", weight=3]; 116[label="GT == vuu3100",fontsize=16,color="burlywood",shape="box"];1100[label="vuu3100/LT",fontsize=10,color="white",style="solid",shape="box"];116 -> 1100[label="",style="solid", color="burlywood", weight=9]; 1100 -> 210[label="",style="solid", color="burlywood", weight=3]; 1101[label="vuu3100/EQ",fontsize=10,color="white",style="solid",shape="box"];116 -> 1101[label="",style="solid", color="burlywood", weight=9]; 1101 -> 211[label="",style="solid", color="burlywood", weight=3]; 1102[label="vuu3100/GT",fontsize=10,color="white",style="solid",shape="box"];116 -> 1102[label="",style="solid", color="burlywood", weight=9]; 1102 -> 212[label="",style="solid", color="burlywood", weight=3]; 117[label="(vuu3000,vuu3001) == vuu3100",fontsize=16,color="burlywood",shape="box"];1103[label="vuu3100/(vuu31000,vuu31001)",fontsize=10,color="white",style="solid",shape="box"];117 -> 1103[label="",style="solid", color="burlywood", weight=9]; 1103 -> 213[label="",style="solid", color="burlywood", weight=3]; 118[label="primEqInt vuu300 vuu3100",fontsize=16,color="burlywood",shape="triangle"];1104[label="vuu300/Pos vuu3000",fontsize=10,color="white",style="solid",shape="box"];118 -> 1104[label="",style="solid", color="burlywood", weight=9]; 1104 -> 214[label="",style="solid", color="burlywood", weight=3]; 1105[label="vuu300/Neg vuu3000",fontsize=10,color="white",style="solid",shape="box"];118 -> 1105[label="",style="solid", color="burlywood", weight=9]; 1105 -> 215[label="",style="solid", color="burlywood", weight=3]; 119[label="Nothing == vuu3100",fontsize=16,color="burlywood",shape="box"];1106[label="vuu3100/Nothing",fontsize=10,color="white",style="solid",shape="box"];119 -> 1106[label="",style="solid", color="burlywood", weight=9]; 1106 -> 216[label="",style="solid", color="burlywood", weight=3]; 1107[label="vuu3100/Just vuu31000",fontsize=10,color="white",style="solid",shape="box"];119 -> 1107[label="",style="solid", color="burlywood", weight=9]; 1107 -> 217[label="",style="solid", color="burlywood", weight=3]; 120[label="Just vuu3000 == vuu3100",fontsize=16,color="burlywood",shape="box"];1108[label="vuu3100/Nothing",fontsize=10,color="white",style="solid",shape="box"];120 -> 1108[label="",style="solid", color="burlywood", weight=9]; 1108 -> 218[label="",style="solid", color="burlywood", weight=3]; 1109[label="vuu3100/Just vuu31000",fontsize=10,color="white",style="solid",shape="box"];120 -> 1109[label="",style="solid", color="burlywood", weight=9]; 1109 -> 219[label="",style="solid", color="burlywood", weight=3]; 121[label="vuu3000 : vuu3001 == vuu3100",fontsize=16,color="burlywood",shape="box"];1110[label="vuu3100/vuu31000 : vuu31001",fontsize=10,color="white",style="solid",shape="box"];121 -> 1110[label="",style="solid", color="burlywood", weight=9]; 1110 -> 220[label="",style="solid", color="burlywood", weight=3]; 1111[label="vuu3100/[]",fontsize=10,color="white",style="solid",shape="box"];121 -> 1111[label="",style="solid", color="burlywood", weight=9]; 1111 -> 221[label="",style="solid", color="burlywood", weight=3]; 122[label="[] == vuu3100",fontsize=16,color="burlywood",shape="box"];1112[label="vuu3100/vuu31000 : vuu31001",fontsize=10,color="white",style="solid",shape="box"];122 -> 1112[label="",style="solid", color="burlywood", weight=9]; 1112 -> 222[label="",style="solid", color="burlywood", weight=3]; 1113[label="vuu3100/[]",fontsize=10,color="white",style="solid",shape="box"];122 -> 1113[label="",style="solid", color="burlywood", weight=9]; 1113 -> 223[label="",style="solid", color="burlywood", weight=3]; 123[label="primEqFloat vuu300 vuu3100",fontsize=16,color="burlywood",shape="box"];1114[label="vuu300/Float vuu3000 vuu3001",fontsize=10,color="white",style="solid",shape="box"];123 -> 1114[label="",style="solid", color="burlywood", weight=9]; 1114 -> 224[label="",style="solid", color="burlywood", weight=3]; 124[label="False == vuu3100",fontsize=16,color="burlywood",shape="box"];1115[label="vuu3100/False",fontsize=10,color="white",style="solid",shape="box"];124 -> 1115[label="",style="solid", color="burlywood", weight=9]; 1115 -> 225[label="",style="solid", color="burlywood", weight=3]; 1116[label="vuu3100/True",fontsize=10,color="white",style="solid",shape="box"];124 -> 1116[label="",style="solid", color="burlywood", weight=9]; 1116 -> 226[label="",style="solid", color="burlywood", weight=3]; 125[label="True == vuu3100",fontsize=16,color="burlywood",shape="box"];1117[label="vuu3100/False",fontsize=10,color="white",style="solid",shape="box"];125 -> 1117[label="",style="solid", color="burlywood", weight=9]; 1117 -> 227[label="",style="solid", color="burlywood", weight=3]; 1118[label="vuu3100/True",fontsize=10,color="white",style="solid",shape="box"];125 -> 1118[label="",style="solid", color="burlywood", weight=9]; 1118 -> 228[label="",style="solid", color="burlywood", weight=3]; 126[label="primEqChar vuu300 vuu3100",fontsize=16,color="burlywood",shape="box"];1119[label="vuu300/Char vuu3000",fontsize=10,color="white",style="solid",shape="box"];126 -> 1119[label="",style="solid", color="burlywood", weight=9]; 1119 -> 229[label="",style="solid", color="burlywood", weight=3]; 127[label="vuu3000 :% vuu3001 == vuu3100",fontsize=16,color="burlywood",shape="box"];1120[label="vuu3100/vuu31000 :% vuu31001",fontsize=10,color="white",style="solid",shape="box"];127 -> 1120[label="",style="solid", color="burlywood", weight=9]; 1120 -> 230[label="",style="solid", color="burlywood", weight=3]; 128[label="List.groupByYs1 (==) (Left vuu9) (Left vuu10 : vuu11) (span2Span0 ((==) Left vuu9) vuu11 ((==) Left vuu9) (Left vuu10) vuu11 otherwise)",fontsize=16,color="black",shape="box"];128 -> 231[label="",style="solid", color="black", weight=3]; 129[label="List.groupByYs1 (==) (Left vuu9) (Left vuu10 : vuu11) (Left vuu10 : span2Ys ((==) Left vuu9) vuu11,span2Zs ((==) Left vuu9) vuu11)",fontsize=16,color="black",shape="box"];129 -> 232[label="",style="solid", color="black", weight=3]; 130[label="List.groupByYs1 (==) (Left vuu300) (Right vuu3100 : vuu311) ([],Right vuu3100 : vuu311)",fontsize=16,color="black",shape="box"];130 -> 233[label="",style="solid", color="black", weight=3]; 131[label="List.groupByYs1 (==) (Right vuu300) (Left vuu3100 : vuu311) ([],Left vuu3100 : vuu311)",fontsize=16,color="black",shape="box"];131 -> 234[label="",style="solid", color="black", weight=3]; 132[label="vuu300",fontsize=16,color="green",shape="box"];133[label="vuu3100",fontsize=16,color="green",shape="box"];134[label="vuu300",fontsize=16,color="green",shape="box"];135[label="vuu3100",fontsize=16,color="green",shape="box"];136[label="vuu300",fontsize=16,color="green",shape="box"];137[label="vuu3100",fontsize=16,color="green",shape="box"];138[label="vuu300",fontsize=16,color="green",shape="box"];139[label="vuu3100",fontsize=16,color="green",shape="box"];140[label="vuu300",fontsize=16,color="green",shape="box"];141[label="vuu3100",fontsize=16,color="green",shape="box"];142[label="vuu300",fontsize=16,color="green",shape="box"];143[label="vuu3100",fontsize=16,color="green",shape="box"];144[label="vuu300",fontsize=16,color="green",shape="box"];145[label="vuu3100",fontsize=16,color="green",shape="box"];146[label="vuu300",fontsize=16,color="green",shape="box"];147[label="vuu3100",fontsize=16,color="green",shape="box"];148[label="vuu300",fontsize=16,color="green",shape="box"];149[label="vuu3100",fontsize=16,color="green",shape="box"];150[label="vuu300",fontsize=16,color="green",shape="box"];151[label="vuu3100",fontsize=16,color="green",shape="box"];152[label="vuu300",fontsize=16,color="green",shape="box"];153[label="vuu3100",fontsize=16,color="green",shape="box"];154[label="vuu300",fontsize=16,color="green",shape="box"];155[label="vuu3100",fontsize=16,color="green",shape="box"];156[label="vuu300",fontsize=16,color="green",shape="box"];157[label="vuu3100",fontsize=16,color="green",shape="box"];158[label="vuu300",fontsize=16,color="green",shape="box"];159[label="vuu3100",fontsize=16,color="green",shape="box"];160[label="List.groupByYs1 (==) (Right vuu18) (Right vuu19 : vuu20) (span2Span0 ((==) Right vuu18) vuu20 ((==) Right vuu18) (Right vuu19) vuu20 otherwise)",fontsize=16,color="black",shape="box"];160 -> 235[label="",style="solid", color="black", weight=3]; 161[label="List.groupByYs1 (==) (Right vuu18) (Right vuu19 : vuu20) (Right vuu19 : span2Ys ((==) Right vuu18) vuu20,span2Zs ((==) Right vuu18) vuu20)",fontsize=16,color="black",shape="box"];161 -> 236[label="",style="solid", color="black", weight=3]; 162 -> 62[label="",style="dashed", color="red", weight=0]; 162[label="vuu300 == vuu3100",fontsize=16,color="magenta"];163 -> 63[label="",style="dashed", color="red", weight=0]; 163[label="vuu300 == vuu3100",fontsize=16,color="magenta"];164 -> 64[label="",style="dashed", color="red", weight=0]; 164[label="vuu300 == vuu3100",fontsize=16,color="magenta"];165 -> 65[label="",style="dashed", color="red", weight=0]; 165[label="vuu300 == vuu3100",fontsize=16,color="magenta"];166 -> 66[label="",style="dashed", color="red", weight=0]; 166[label="vuu300 == vuu3100",fontsize=16,color="magenta"];167 -> 67[label="",style="dashed", color="red", weight=0]; 167[label="vuu300 == vuu3100",fontsize=16,color="magenta"];168 -> 68[label="",style="dashed", color="red", weight=0]; 168[label="vuu300 == vuu3100",fontsize=16,color="magenta"];169 -> 69[label="",style="dashed", color="red", weight=0]; 169[label="vuu300 == vuu3100",fontsize=16,color="magenta"];170 -> 70[label="",style="dashed", color="red", weight=0]; 170[label="vuu300 == vuu3100",fontsize=16,color="magenta"];171 -> 71[label="",style="dashed", color="red", weight=0]; 171[label="vuu300 == vuu3100",fontsize=16,color="magenta"];172 -> 72[label="",style="dashed", color="red", weight=0]; 172[label="vuu300 == vuu3100",fontsize=16,color="magenta"];173 -> 73[label="",style="dashed", color="red", weight=0]; 173[label="vuu300 == vuu3100",fontsize=16,color="magenta"];174 -> 74[label="",style="dashed", color="red", weight=0]; 174[label="vuu300 == vuu3100",fontsize=16,color="magenta"];175 -> 75[label="",style="dashed", color="red", weight=0]; 175[label="vuu300 == vuu3100",fontsize=16,color="magenta"];176[label="List.groupByZs1 (==) (Left vuu27) (Left vuu28 : vuu29) (span2Span1 ((==) Left vuu27) vuu29 ((==) Left vuu27) (Left vuu28) vuu29 False)",fontsize=16,color="black",shape="box"];176 -> 237[label="",style="solid", color="black", weight=3]; 177[label="List.groupByZs1 (==) (Left vuu27) (Left vuu28 : vuu29) (span2Span1 ((==) Left vuu27) vuu29 ((==) Left vuu27) (Left vuu28) vuu29 True)",fontsize=16,color="black",shape="box"];177 -> 238[label="",style="solid", color="black", weight=3]; 178[label="List.groupByZs1 (==) (Left vuu300) (Right vuu3100 : vuu311) (span2Span0 ((==) Left vuu300) vuu311 ((==) Left vuu300) (Right vuu3100) vuu311 True)",fontsize=16,color="black",shape="box"];178 -> 239[label="",style="solid", color="black", weight=3]; 179[label="List.groupByZs1 (==) (Right vuu300) (Left vuu3100 : vuu311) (span2Span0 ((==) 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vuu3100",fontsize=16,color="magenta"];191 -> 263[label="",style="dashed", color="magenta", weight=3]; 191 -> 264[label="",style="dashed", color="magenta", weight=3]; 192 -> 74[label="",style="dashed", color="red", weight=0]; 192[label="vuu300 == vuu3100",fontsize=16,color="magenta"];192 -> 265[label="",style="dashed", color="magenta", weight=3]; 192 -> 266[label="",style="dashed", color="magenta", weight=3]; 193 -> 75[label="",style="dashed", color="red", weight=0]; 193[label="vuu300 == vuu3100",fontsize=16,color="magenta"];193 -> 267[label="",style="dashed", color="magenta", weight=3]; 193 -> 268[label="",style="dashed", color="magenta", weight=3]; 194[label="List.groupByZs1 (==) (Right vuu36) (Right vuu37 : vuu38) (span2Span1 ((==) Right vuu36) vuu38 ((==) Right vuu36) (Right vuu37) vuu38 False)",fontsize=16,color="black",shape="box"];194 -> 269[label="",style="solid", color="black", weight=3]; 195[label="List.groupByZs1 (==) (Right vuu36) (Right vuu37 : vuu38) (span2Span1 ((==) 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weight=3]; 202[label="(vuu3000,vuu3001,vuu3002) == (vuu31000,vuu31001,vuu31002)",fontsize=16,color="black",shape="box"];202 -> 277[label="",style="solid", color="black", weight=3]; 203[label="primEqDouble (Double vuu3000 vuu3001) vuu3100",fontsize=16,color="burlywood",shape="box"];1121[label="vuu3100/Double vuu31000 vuu31001",fontsize=10,color="white",style="solid",shape="box"];203 -> 1121[label="",style="solid", color="burlywood", weight=9]; 1121 -> 278[label="",style="solid", color="burlywood", weight=3]; 204[label="LT == LT",fontsize=16,color="black",shape="box"];204 -> 279[label="",style="solid", color="black", weight=3]; 205[label="LT == EQ",fontsize=16,color="black",shape="box"];205 -> 280[label="",style="solid", color="black", weight=3]; 206[label="LT == GT",fontsize=16,color="black",shape="box"];206 -> 281[label="",style="solid", color="black", weight=3]; 207[label="EQ == LT",fontsize=16,color="black",shape="box"];207 -> 282[label="",style="solid", color="black", weight=3]; 208[label="EQ == EQ",fontsize=16,color="black",shape="box"];208 -> 283[label="",style="solid", color="black", weight=3]; 209[label="EQ == GT",fontsize=16,color="black",shape="box"];209 -> 284[label="",style="solid", color="black", weight=3]; 210[label="GT == LT",fontsize=16,color="black",shape="box"];210 -> 285[label="",style="solid", color="black", weight=3]; 211[label="GT == EQ",fontsize=16,color="black",shape="box"];211 -> 286[label="",style="solid", color="black", weight=3]; 212[label="GT == GT",fontsize=16,color="black",shape="box"];212 -> 287[label="",style="solid", color="black", weight=3]; 213[label="(vuu3000,vuu3001) == (vuu31000,vuu31001)",fontsize=16,color="black",shape="box"];213 -> 288[label="",style="solid", color="black", weight=3]; 214[label="primEqInt (Pos vuu3000) vuu3100",fontsize=16,color="burlywood",shape="box"];1122[label="vuu3000/Succ vuu30000",fontsize=10,color="white",style="solid",shape="box"];214 -> 1122[label="",style="solid", color="burlywood", weight=9]; 1122 -> 289[label="",style="solid", color="burlywood", weight=3]; 1123[label="vuu3000/Zero",fontsize=10,color="white",style="solid",shape="box"];214 -> 1123[label="",style="solid", color="burlywood", weight=9]; 1123 -> 290[label="",style="solid", color="burlywood", weight=3]; 215[label="primEqInt (Neg vuu3000) vuu3100",fontsize=16,color="burlywood",shape="box"];1124[label="vuu3000/Succ vuu30000",fontsize=10,color="white",style="solid",shape="box"];215 -> 1124[label="",style="solid", color="burlywood", weight=9]; 1124 -> 291[label="",style="solid", color="burlywood", weight=3]; 1125[label="vuu3000/Zero",fontsize=10,color="white",style="solid",shape="box"];215 -> 1125[label="",style="solid", color="burlywood", weight=9]; 1125 -> 292[label="",style="solid", color="burlywood", weight=3]; 216[label="Nothing == Nothing",fontsize=16,color="black",shape="box"];216 -> 293[label="",style="solid", color="black", weight=3]; 217[label="Nothing == Just 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color="burlywood", weight=9]; 1127 -> 306[label="",style="solid", color="burlywood", weight=3]; 230[label="vuu3000 :% vuu3001 == vuu31000 :% vuu31001",fontsize=16,color="black",shape="box"];230 -> 307[label="",style="solid", color="black", weight=3]; 231[label="List.groupByYs1 (==) (Left vuu9) (Left vuu10 : vuu11) (span2Span0 ((==) Left vuu9) vuu11 ((==) Left vuu9) (Left vuu10) vuu11 True)",fontsize=16,color="black",shape="box"];231 -> 308[label="",style="solid", color="black", weight=3]; 232[label="Left vuu10 : span2Ys ((==) Left vuu9) vuu11",fontsize=16,color="green",shape="box"];232 -> 309[label="",style="dashed", color="green", weight=3]; 233[label="[]",fontsize=16,color="green",shape="box"];234[label="[]",fontsize=16,color="green",shape="box"];235[label="List.groupByYs1 (==) (Right vuu18) (Right vuu19 : vuu20) (span2Span0 ((==) Right vuu18) vuu20 ((==) Right vuu18) (Right vuu19) vuu20 True)",fontsize=16,color="black",shape="box"];235 -> 310[label="",style="solid", color="black", weight=3]; 236[label="Right vuu19 : span2Ys ((==) Right vuu18) vuu20",fontsize=16,color="green",shape="box"];236 -> 311[label="",style="dashed", color="green", weight=3]; 237[label="List.groupByZs1 (==) (Left vuu27) (Left vuu28 : vuu29) (span2Span0 ((==) Left vuu27) vuu29 ((==) Left vuu27) (Left vuu28) vuu29 otherwise)",fontsize=16,color="black",shape="box"];237 -> 312[label="",style="solid", color="black", weight=3]; 238[label="List.groupByZs1 (==) (Left vuu27) (Left vuu28 : vuu29) (Left vuu28 : span2Ys ((==) Left vuu27) vuu29,span2Zs ((==) Left vuu27) vuu29)",fontsize=16,color="black",shape="box"];238 -> 313[label="",style="solid", color="black", weight=3]; 239[label="List.groupByZs1 (==) (Left vuu300) (Right vuu3100 : vuu311) ([],Right vuu3100 : vuu311)",fontsize=16,color="black",shape="box"];239 -> 314[label="",style="solid", color="black", weight=3]; 240[label="List.groupByZs1 (==) (Right vuu300) (Left vuu3100 : vuu311) ([],Left vuu3100 : 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241[label="vuu300",fontsize=16,color="green",shape="box"];242[label="vuu3100",fontsize=16,color="green",shape="box"];243[label="vuu300",fontsize=16,color="green",shape="box"];244[label="vuu3100",fontsize=16,color="green",shape="box"];245[label="vuu300",fontsize=16,color="green",shape="box"];246[label="vuu3100",fontsize=16,color="green",shape="box"];247[label="vuu300",fontsize=16,color="green",shape="box"];248[label="vuu3100",fontsize=16,color="green",shape="box"];249[label="vuu300",fontsize=16,color="green",shape="box"];250[label="vuu3100",fontsize=16,color="green",shape="box"];251[label="vuu300",fontsize=16,color="green",shape="box"];252[label="vuu3100",fontsize=16,color="green",shape="box"];253[label="vuu300",fontsize=16,color="green",shape="box"];254[label="vuu3100",fontsize=16,color="green",shape="box"];255[label="vuu300",fontsize=16,color="green",shape="box"];256[label="vuu3100",fontsize=16,color="green",shape="box"];257[label="vuu300",fontsize=16,color="green",shape="box"];258[label="vuu3100",fontsize=16,color="green",shape="box"];259[label="vuu300",fontsize=16,color="green",shape="box"];260[label="vuu3100",fontsize=16,color="green",shape="box"];261[label="vuu300",fontsize=16,color="green",shape="box"];262[label="vuu3100",fontsize=16,color="green",shape="box"];263[label="vuu300",fontsize=16,color="green",shape="box"];264[label="vuu3100",fontsize=16,color="green",shape="box"];265[label="vuu300",fontsize=16,color="green",shape="box"];266[label="vuu3100",fontsize=16,color="green",shape="box"];267[label="vuu300",fontsize=16,color="green",shape="box"];268[label="vuu3100",fontsize=16,color="green",shape="box"];269[label="List.groupByZs1 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color="blue", weight=9]; 1137 -> 329[label="",style="solid", color="blue", weight=3]; 1138[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];273 -> 1138[label="",style="solid", color="blue", weight=9]; 1138 -> 330[label="",style="solid", color="blue", weight=3]; 1139[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];273 -> 1139[label="",style="solid", color="blue", weight=9]; 1139 -> 331[label="",style="solid", color="blue", weight=3]; 1140[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];273 -> 1140[label="",style="solid", color="blue", weight=9]; 1140 -> 332[label="",style="solid", color="blue", weight=3]; 1141[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];273 -> 1141[label="",style="solid", color="blue", weight=9]; 1141 -> 333[label="",style="solid", color="blue", weight=3]; 274[label="False",fontsize=16,color="green",shape="box"];275[label="False",fontsize=16,color="green",shape="box"];276[label="vuu3000 == vuu31000",fontsize=16,color="blue",shape="box"];1142[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];276 -> 1142[label="",style="solid", color="blue", weight=9]; 1142 -> 334[label="",style="solid", color="blue", weight=3]; 1143[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];276 -> 1143[label="",style="solid", color="blue", weight=9]; 1143 -> 335[label="",style="solid", color="blue", weight=3]; 1144[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];276 -> 1144[label="",style="solid", color="blue", weight=9]; 1144 -> 336[label="",style="solid", color="blue", weight=3]; 1145[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];276 -> 1145[label="",style="solid", color="blue", weight=9]; 1145 -> 337[label="",style="solid", color="blue", weight=3]; 1146[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];276 -> 1146[label="",style="solid", color="blue", weight=9]; 1146 -> 338[label="",style="solid", color="blue", weight=3]; 1147[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];276 -> 1147[label="",style="solid", color="blue", weight=9]; 1147 -> 339[label="",style="solid", color="blue", weight=3]; 1148[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];276 -> 1148[label="",style="solid", color="blue", weight=9]; 1148 -> 340[label="",style="solid", color="blue", weight=3]; 1149[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];276 -> 1149[label="",style="solid", color="blue", weight=9]; 1149 -> 341[label="",style="solid", color="blue", weight=3]; 1150[label="== :: (Maybe a) -> 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color="blue", weight=3]; 1195[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];470 -> 1195[label="",style="solid", color="blue", weight=9]; 1195 -> 500[label="",style="solid", color="blue", weight=3]; 1196[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];470 -> 1196[label="",style="solid", color="blue", weight=9]; 1196 -> 501[label="",style="solid", color="blue", weight=3]; 1197[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];470 -> 1197[label="",style="solid", color="blue", weight=9]; 1197 -> 502[label="",style="solid", color="blue", weight=3]; 1198[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];470 -> 1198[label="",style="solid", color="blue", weight=9]; 1198 -> 503[label="",style="solid", color="blue", weight=3]; 1199[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];470 -> 1199[label="",style="solid", color="blue", weight=9]; 1199 -> 504[label="",style="solid", color="blue", weight=3]; 1200[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];470 -> 1200[label="",style="solid", color="blue", weight=9]; 1200 -> 505[label="",style="solid", color="blue", weight=3]; 1201[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];470 -> 1201[label="",style="solid", color="blue", weight=9]; 1201 -> 506[label="",style="solid", color="blue", weight=3]; 1202[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];470 -> 1202[label="",style="solid", color="blue", weight=9]; 1202 -> 507[label="",style="solid", color="blue", weight=3]; 1203[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];470 -> 1203[label="",style="solid", color="blue", weight=9]; 1203 -> 508[label="",style="solid", color="blue", weight=3]; 1204[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];470 -> 1204[label="",style="solid", color="blue", weight=9]; 1204 -> 509[label="",style="solid", color="blue", weight=3]; 1205[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];470 -> 1205[label="",style="solid", color="blue", weight=9]; 1205 -> 510[label="",style="solid", color="blue", weight=3]; 1206[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];470 -> 1206[label="",style="solid", color="blue", weight=9]; 1206 -> 511[label="",style="solid", color="blue", weight=3]; 1207[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];470 -> 1207[label="",style="solid", color="blue", weight=9]; 1207 -> 512[label="",style="solid", color="blue", weight=3]; 471[label="vuu3001 == 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Bool",fontsize=10,color="white",style="solid",shape="box"];471 -> 1212[label="",style="solid", color="blue", weight=9]; 1212 -> 517[label="",style="solid", color="blue", weight=3]; 1213[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];471 -> 1213[label="",style="solid", color="blue", weight=9]; 1213 -> 518[label="",style="solid", color="blue", weight=3]; 1214[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];471 -> 1214[label="",style="solid", color="blue", weight=9]; 1214 -> 519[label="",style="solid", color="blue", weight=3]; 1215[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];471 -> 1215[label="",style="solid", color="blue", weight=9]; 1215 -> 520[label="",style="solid", color="blue", weight=3]; 1216[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];471 -> 1216[label="",style="solid", color="blue", weight=9]; 1216 -> 521[label="",style="solid", color="blue", weight=3]; 1217[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];471 -> 1217[label="",style="solid", color="blue", weight=9]; 1217 -> 522[label="",style="solid", color="blue", weight=3]; 1218[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];471 -> 1218[label="",style="solid", color="blue", weight=9]; 1218 -> 523[label="",style="solid", color="blue", weight=3]; 1219[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];471 -> 1219[label="",style="solid", color="blue", weight=9]; 1219 -> 524[label="",style="solid", color="blue", weight=3]; 1220[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];471 -> 1220[label="",style="solid", color="blue", weight=9]; 1220 -> 525[label="",style="solid", color="blue", weight=3]; 1221[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];471 -> 1221[label="",style="solid", color="blue", weight=9]; 1221 -> 526[label="",style="solid", color="blue", weight=3]; 365[label="primEqInt (Pos (Succ vuu30000)) (Pos vuu31000)",fontsize=16,color="burlywood",shape="box"];1222[label="vuu31000/Succ vuu310000",fontsize=10,color="white",style="solid",shape="box"];365 -> 1222[label="",style="solid", color="burlywood", weight=9]; 1222 -> 527[label="",style="solid", color="burlywood", weight=3]; 1223[label="vuu31000/Zero",fontsize=10,color="white",style="solid",shape="box"];365 -> 1223[label="",style="solid", color="burlywood", weight=9]; 1223 -> 528[label="",style="solid", color="burlywood", weight=3]; 366[label="primEqInt (Pos (Succ vuu30000)) (Neg vuu31000)",fontsize=16,color="black",shape="box"];366 -> 529[label="",style="solid", color="black", weight=3]; 367[label="primEqInt (Pos Zero) (Pos vuu31000)",fontsize=16,color="burlywood",shape="box"];1224[label="vuu31000/Succ 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1231[label="vuu31000/Zero",fontsize=10,color="white",style="solid",shape="box"];371 -> 1231[label="",style="solid", color="burlywood", weight=9]; 1231 -> 538[label="",style="solid", color="burlywood", weight=3]; 372[label="primEqInt (Neg Zero) (Neg vuu31000)",fontsize=16,color="burlywood",shape="box"];1232[label="vuu31000/Succ vuu310000",fontsize=10,color="white",style="solid",shape="box"];372 -> 1232[label="",style="solid", color="burlywood", weight=9]; 1232 -> 539[label="",style="solid", color="burlywood", weight=3]; 1233[label="vuu31000/Zero",fontsize=10,color="white",style="solid",shape="box"];372 -> 1233[label="",style="solid", color="burlywood", weight=9]; 1233 -> 540[label="",style="solid", color="burlywood", weight=3]; 373 -> 62[label="",style="dashed", color="red", weight=0]; 373[label="vuu3000 == vuu31000",fontsize=16,color="magenta"];373 -> 541[label="",style="dashed", color="magenta", weight=3]; 373 -> 542[label="",style="dashed", color="magenta", weight=3]; 374 -> 63[label="",style="dashed", color="red", weight=0]; 374[label="vuu3000 == vuu31000",fontsize=16,color="magenta"];374 -> 543[label="",style="dashed", color="magenta", weight=3]; 374 -> 544[label="",style="dashed", color="magenta", weight=3]; 375 -> 64[label="",style="dashed", color="red", weight=0]; 375[label="vuu3000 == vuu31000",fontsize=16,color="magenta"];375 -> 545[label="",style="dashed", color="magenta", weight=3]; 375 -> 546[label="",style="dashed", color="magenta", weight=3]; 376 -> 65[label="",style="dashed", color="red", weight=0]; 376[label="vuu3000 == vuu31000",fontsize=16,color="magenta"];376 -> 547[label="",style="dashed", color="magenta", weight=3]; 376 -> 548[label="",style="dashed", color="magenta", weight=3]; 377 -> 66[label="",style="dashed", color="red", weight=0]; 377[label="vuu3000 == vuu31000",fontsize=16,color="magenta"];377 -> 549[label="",style="dashed", color="magenta", weight=3]; 377 -> 550[label="",style="dashed", color="magenta", weight=3]; 378 -> 67[label="",style="dashed", color="red", weight=0]; 378[label="vuu3000 == vuu31000",fontsize=16,color="magenta"];378 -> 551[label="",style="dashed", color="magenta", weight=3]; 378 -> 552[label="",style="dashed", color="magenta", weight=3]; 379 -> 68[label="",style="dashed", color="red", weight=0]; 379[label="vuu3000 == vuu31000",fontsize=16,color="magenta"];379 -> 553[label="",style="dashed", color="magenta", weight=3]; 379 -> 554[label="",style="dashed", color="magenta", weight=3]; 380 -> 69[label="",style="dashed", color="red", weight=0]; 380[label="vuu3000 == vuu31000",fontsize=16,color="magenta"];380 -> 555[label="",style="dashed", color="magenta", weight=3]; 380 -> 556[label="",style="dashed", color="magenta", weight=3]; 381 -> 70[label="",style="dashed", color="red", weight=0]; 381[label="vuu3000 == vuu31000",fontsize=16,color="magenta"];381 -> 557[label="",style="dashed", color="magenta", weight=3]; 381 -> 558[label="",style="dashed", color="magenta", weight=3]; 382 -> 71[label="",style="dashed", color="red", weight=0]; 382[label="vuu3000 == vuu31000",fontsize=16,color="magenta"];382 -> 559[label="",style="dashed", color="magenta", weight=3]; 382 -> 560[label="",style="dashed", color="magenta", weight=3]; 383 -> 72[label="",style="dashed", color="red", weight=0]; 383[label="vuu3000 == vuu31000",fontsize=16,color="magenta"];383 -> 561[label="",style="dashed", color="magenta", weight=3]; 383 -> 562[label="",style="dashed", color="magenta", weight=3]; 384 -> 73[label="",style="dashed", color="red", weight=0]; 384[label="vuu3000 == vuu31000",fontsize=16,color="magenta"];384 -> 563[label="",style="dashed", color="magenta", weight=3]; 384 -> 564[label="",style="dashed", color="magenta", weight=3]; 385 -> 74[label="",style="dashed", color="red", weight=0]; 385[label="vuu3000 == vuu31000",fontsize=16,color="magenta"];385 -> 565[label="",style="dashed", color="magenta", weight=3]; 385 -> 566[label="",style="dashed", color="magenta", weight=3]; 386 -> 75[label="",style="dashed", color="red", weight=0]; 386[label="vuu3000 == vuu31000",fontsize=16,color="magenta"];386 -> 567[label="",style="dashed", color="magenta", weight=3]; 386 -> 568[label="",style="dashed", color="magenta", weight=3]; 472[label="vuu3000 == vuu31000",fontsize=16,color="blue",shape="box"];1234[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];472 -> 1234[label="",style="solid", color="blue", weight=9]; 1234 -> 569[label="",style="solid", color="blue", weight=3]; 1235[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];472 -> 1235[label="",style="solid", color="blue", weight=9]; 1235 -> 570[label="",style="solid", color="blue", weight=3]; 1236[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];472 -> 1236[label="",style="solid", color="blue", weight=9]; 1236 -> 571[label="",style="solid", color="blue", weight=3]; 1237[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];472 -> 1237[label="",style="solid", color="blue", weight=9]; 1237 -> 572[label="",style="solid", color="blue", weight=3]; 1238[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];472 -> 1238[label="",style="solid", color="blue", weight=9]; 1238 -> 573[label="",style="solid", color="blue", weight=3]; 1239[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];472 -> 1239[label="",style="solid", color="blue", weight=9]; 1239 -> 574[label="",style="solid", color="blue", weight=3]; 1240[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];472 -> 1240[label="",style="solid", color="blue", weight=9]; 1240 -> 575[label="",style="solid", color="blue", weight=3]; 1241[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];472 -> 1241[label="",style="solid", color="blue", weight=9]; 1241 -> 576[label="",style="solid", color="blue", weight=3]; 1242[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];472 -> 1242[label="",style="solid", color="blue", weight=9]; 1242 -> 577[label="",style="solid", color="blue", weight=3]; 1243[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];472 -> 1243[label="",style="solid", color="blue", weight=9]; 1243 -> 578[label="",style="solid", color="blue", weight=3]; 1244[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];472 -> 1244[label="",style="solid", color="blue", weight=9]; 1244 -> 579[label="",style="solid", color="blue", weight=3]; 1245[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];472 -> 1245[label="",style="solid", color="blue", weight=9]; 1245 -> 580[label="",style="solid", color="blue", weight=3]; 1246[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];472 -> 1246[label="",style="solid", color="blue", weight=9]; 1246 -> 581[label="",style="solid", color="blue", weight=3]; 1247[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];472 -> 1247[label="",style="solid", color="blue", weight=9]; 1247 -> 582[label="",style="solid", color="blue", weight=3]; 473 -> 71[label="",style="dashed", color="red", weight=0]; 473[label="vuu3001 == vuu31001",fontsize=16,color="magenta"];473 -> 583[label="",style="dashed", color="magenta", weight=3]; 473 -> 584[label="",style="dashed", color="magenta", weight=3]; 387 -> 69[label="",style="dashed", color="red", weight=0]; 387[label="vuu3000 * vuu31001 == vuu3001 * vuu31000",fontsize=16,color="magenta"];387 -> 585[label="",style="dashed", color="magenta", weight=3]; 387 -> 586[label="",style="dashed", color="magenta", weight=3]; 388[label="primEqNat vuu3000 vuu31000",fontsize=16,color="burlywood",shape="triangle"];1248[label="vuu3000/Succ vuu30000",fontsize=10,color="white",style="solid",shape="box"];388 -> 1248[label="",style="solid", color="burlywood", weight=9]; 1248 -> 587[label="",style="solid", color="burlywood", weight=3]; 1249[label="vuu3000/Zero",fontsize=10,color="white",style="solid",shape="box"];388 -> 1249[label="",style="solid", color="burlywood", weight=9]; 1249 -> 588[label="",style="solid", color="burlywood", weight=3]; 474[label="vuu3000 == vuu31000",fontsize=16,color="blue",shape="box"];1250[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];474 -> 1250[label="",style="solid", color="blue", weight=9]; 1250 -> 589[label="",style="solid", color="blue", weight=3]; 1251[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];474 -> 1251[label="",style="solid", color="blue", weight=9]; 1251 -> 590[label="",style="solid", color="blue", weight=3]; 475[label="vuu3001 == vuu31001",fontsize=16,color="blue",shape="box"];1252[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];475 -> 1252[label="",style="solid", color="blue", weight=9]; 1252 -> 591[label="",style="solid", color="blue", weight=3]; 1253[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];475 -> 1253[label="",style="solid", color="blue", weight=9]; 1253 -> 592[label="",style="solid", color="blue", weight=3]; 389[label="[]",fontsize=16,color="green",shape="box"];390[label="span2Ys0 ((==) Left vuu9) vuu11 (span2Vu43 ((==) Left vuu9) vuu11)",fontsize=16,color="black",shape="box"];390 -> 593[label="",style="solid", color="black", weight=3]; 391[label="[]",fontsize=16,color="green",shape="box"];392[label="span2Ys0 ((==) Right vuu18) vuu20 (span2Vu43 ((==) Right vuu18) vuu20)",fontsize=16,color="black",shape="box"];392 -> 594[label="",style="solid", color="black", weight=3]; 393[label="List.groupByZs1 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397[label="vuu3000",fontsize=16,color="green",shape="box"];398[label="vuu31000",fontsize=16,color="green",shape="box"];399[label="vuu3000",fontsize=16,color="green",shape="box"];400[label="vuu31000",fontsize=16,color="green",shape="box"];401[label="vuu3000",fontsize=16,color="green",shape="box"];402[label="vuu31000",fontsize=16,color="green",shape="box"];403[label="vuu3000",fontsize=16,color="green",shape="box"];404[label="vuu31000",fontsize=16,color="green",shape="box"];405[label="vuu3000",fontsize=16,color="green",shape="box"];406[label="vuu31000",fontsize=16,color="green",shape="box"];407[label="vuu3000",fontsize=16,color="green",shape="box"];408[label="vuu31000",fontsize=16,color="green",shape="box"];409[label="vuu3000",fontsize=16,color="green",shape="box"];410[label="vuu31000",fontsize=16,color="green",shape="box"];411[label="vuu3000",fontsize=16,color="green",shape="box"];412[label="vuu31000",fontsize=16,color="green",shape="box"];413[label="vuu3000",fontsize=16,color="green",shape="box"];414[label="vuu31000",fontsize=16,color="green",shape="box"];415[label="vuu3000",fontsize=16,color="green",shape="box"];416[label="vuu31000",fontsize=16,color="green",shape="box"];417[label="vuu3000",fontsize=16,color="green",shape="box"];418[label="vuu31000",fontsize=16,color="green",shape="box"];419[label="vuu3000",fontsize=16,color="green",shape="box"];420[label="vuu31000",fontsize=16,color="green",shape="box"];421[label="vuu3000",fontsize=16,color="green",shape="box"];422[label="vuu31000",fontsize=16,color="green",shape="box"];423[label="vuu3000",fontsize=16,color="green",shape="box"];424[label="vuu31000",fontsize=16,color="green",shape="box"];425[label="vuu3000",fontsize=16,color="green",shape="box"];426[label="vuu31000",fontsize=16,color="green",shape="box"];427[label="vuu3000",fontsize=16,color="green",shape="box"];428[label="vuu31000",fontsize=16,color="green",shape="box"];429[label="vuu3000",fontsize=16,color="green",shape="box"];430[label="vuu31000",fontsize=16,color="green",shape="box"];431[label="vuu3000",fontsize=16,color="green",shape="box"];432[label="vuu31000",fontsize=16,color="green",shape="box"];433[label="vuu3000",fontsize=16,color="green",shape="box"];434[label="vuu31000",fontsize=16,color="green",shape="box"];435[label="vuu3000",fontsize=16,color="green",shape="box"];436[label="vuu31000",fontsize=16,color="green",shape="box"];437[label="vuu3000",fontsize=16,color="green",shape="box"];438[label="vuu31000",fontsize=16,color="green",shape="box"];439[label="vuu3000",fontsize=16,color="green",shape="box"];440[label="vuu31000",fontsize=16,color="green",shape="box"];441[label="vuu3000",fontsize=16,color="green",shape="box"];442[label="vuu31000",fontsize=16,color="green",shape="box"];443[label="vuu3000",fontsize=16,color="green",shape="box"];444[label="vuu31000",fontsize=16,color="green",shape="box"];445[label="vuu3000",fontsize=16,color="green",shape="box"];446[label="vuu31000",fontsize=16,color="green",shape="box"];447[label="vuu3000",fontsize=16,color="green",shape="box"];448[label="vuu31000",fontsize=16,color="green",shape="box"];449[label="vuu3000",fontsize=16,color="green",shape="box"];450[label="vuu31000",fontsize=16,color="green",shape="box"];451[label="vuu3000",fontsize=16,color="green",shape="box"];452[label="vuu31000",fontsize=16,color="green",shape="box"];479 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66[label="",style="dashed", color="red", weight=0]; 483[label="vuu3000 == vuu31000",fontsize=16,color="magenta"];483 -> 607[label="",style="dashed", color="magenta", weight=3]; 483 -> 608[label="",style="dashed", color="magenta", weight=3]; 484 -> 67[label="",style="dashed", color="red", weight=0]; 484[label="vuu3000 == vuu31000",fontsize=16,color="magenta"];484 -> 609[label="",style="dashed", color="magenta", weight=3]; 484 -> 610[label="",style="dashed", color="magenta", weight=3]; 485 -> 68[label="",style="dashed", color="red", weight=0]; 485[label="vuu3000 == vuu31000",fontsize=16,color="magenta"];485 -> 611[label="",style="dashed", color="magenta", weight=3]; 485 -> 612[label="",style="dashed", color="magenta", weight=3]; 486 -> 69[label="",style="dashed", color="red", weight=0]; 486[label="vuu3000 == vuu31000",fontsize=16,color="magenta"];486 -> 613[label="",style="dashed", color="magenta", weight=3]; 486 -> 614[label="",style="dashed", color="magenta", weight=3]; 487 -> 70[label="",style="dashed", color="red", weight=0]; 487[label="vuu3000 == vuu31000",fontsize=16,color="magenta"];487 -> 615[label="",style="dashed", color="magenta", weight=3]; 487 -> 616[label="",style="dashed", color="magenta", weight=3]; 488 -> 71[label="",style="dashed", color="red", weight=0]; 488[label="vuu3000 == vuu31000",fontsize=16,color="magenta"];488 -> 617[label="",style="dashed", color="magenta", weight=3]; 488 -> 618[label="",style="dashed", color="magenta", weight=3]; 489 -> 72[label="",style="dashed", color="red", weight=0]; 489[label="vuu3000 == vuu31000",fontsize=16,color="magenta"];489 -> 619[label="",style="dashed", color="magenta", weight=3]; 489 -> 620[label="",style="dashed", color="magenta", weight=3]; 490 -> 73[label="",style="dashed", color="red", weight=0]; 490[label="vuu3000 == vuu31000",fontsize=16,color="magenta"];490 -> 621[label="",style="dashed", color="magenta", weight=3]; 490 -> 622[label="",style="dashed", color="magenta", weight=3]; 491 -> 74[label="",style="dashed", color="red", weight=0]; 491[label="vuu3000 == vuu31000",fontsize=16,color="magenta"];491 -> 623[label="",style="dashed", color="magenta", weight=3]; 491 -> 624[label="",style="dashed", color="magenta", weight=3]; 492 -> 75[label="",style="dashed", color="red", weight=0]; 492[label="vuu3000 == vuu31000",fontsize=16,color="magenta"];492 -> 625[label="",style="dashed", color="magenta", weight=3]; 492 -> 626[label="",style="dashed", color="magenta", weight=3]; 493[label="vuu3001 == vuu31001",fontsize=16,color="blue",shape="box"];1254[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];493 -> 1254[label="",style="solid", color="blue", weight=9]; 1254 -> 627[label="",style="solid", color="blue", weight=3]; 1255[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];493 -> 1255[label="",style="solid", color="blue", weight=9]; 1255 -> 628[label="",style="solid", color="blue", weight=3]; 1256[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];493 -> 1256[label="",style="solid", color="blue", weight=9]; 1256 -> 629[label="",style="solid", color="blue", weight=3]; 1257[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];493 -> 1257[label="",style="solid", color="blue", weight=9]; 1257 -> 630[label="",style="solid", color="blue", weight=3]; 1258[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];493 -> 1258[label="",style="solid", color="blue", weight=9]; 1258 -> 631[label="",style="solid", color="blue", weight=3]; 1259[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];493 -> 1259[label="",style="solid", color="blue", weight=9]; 1259 -> 632[label="",style="solid", color="blue", weight=3]; 1260[label="== :: ((@2) a b) -> ((@2) a b) -> 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-> 637[label="",style="solid", color="blue", weight=3]; 1265[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];493 -> 1265[label="",style="solid", color="blue", weight=9]; 1265 -> 638[label="",style="solid", color="blue", weight=3]; 1266[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];493 -> 1266[label="",style="solid", color="blue", weight=9]; 1266 -> 639[label="",style="solid", color="blue", weight=3]; 1267[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];493 -> 1267[label="",style="solid", color="blue", weight=9]; 1267 -> 640[label="",style="solid", color="blue", weight=3]; 494[label="vuu3002 == vuu31002",fontsize=16,color="blue",shape="box"];1268[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];494 -> 1268[label="",style="solid", color="blue", weight=9]; 1268 -> 641[label="",style="solid", color="blue", weight=3]; 1269[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];494 -> 1269[label="",style="solid", color="blue", weight=9]; 1269 -> 642[label="",style="solid", color="blue", weight=3]; 1270[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];494 -> 1270[label="",style="solid", color="blue", weight=9]; 1270 -> 643[label="",style="solid", color="blue", weight=3]; 1271[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];494 -> 1271[label="",style="solid", color="blue", weight=9]; 1271 -> 644[label="",style="solid", color="blue", weight=3]; 1272[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];494 -> 1272[label="",style="solid", color="blue", weight=9]; 1272 -> 645[label="",style="solid", color="blue", weight=3]; 1273[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];494 -> 1273[label="",style="solid", color="blue", weight=9]; 1273 -> 646[label="",style="solid", color="blue", weight=3]; 1274[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];494 -> 1274[label="",style="solid", color="blue", weight=9]; 1274 -> 647[label="",style="solid", color="blue", weight=3]; 1275[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];494 -> 1275[label="",style="solid", color="blue", weight=9]; 1275 -> 648[label="",style="solid", color="blue", weight=3]; 1276[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];494 -> 1276[label="",style="solid", color="blue", weight=9]; 1276 -> 649[label="",style="solid", color="blue", weight=3]; 1277[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];494 -> 1277[label="",style="solid", color="blue", weight=9]; 1277 -> 650[label="",style="solid", color="blue", weight=3]; 1278[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];494 -> 1278[label="",style="solid", color="blue", weight=9]; 1278 -> 651[label="",style="solid", color="blue", weight=3]; 1279[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];494 -> 1279[label="",style="solid", color="blue", weight=9]; 1279 -> 652[label="",style="solid", color="blue", weight=3]; 1280[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];494 -> 1280[label="",style="solid", color="blue", weight=9]; 1280 -> 653[label="",style="solid", color="blue", weight=3]; 1281[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];494 -> 1281[label="",style="solid", color="blue", weight=9]; 1281 -> 654[label="",style="solid", color="blue", weight=3]; 495[label="False && 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662[label="",style="dashed", color="magenta", weight=3]; 500 -> 663[label="",style="dashed", color="magenta", weight=3]; 501 -> 64[label="",style="dashed", color="red", weight=0]; 501[label="vuu3000 == vuu31000",fontsize=16,color="magenta"];501 -> 664[label="",style="dashed", color="magenta", weight=3]; 501 -> 665[label="",style="dashed", color="magenta", weight=3]; 502 -> 65[label="",style="dashed", color="red", weight=0]; 502[label="vuu3000 == vuu31000",fontsize=16,color="magenta"];502 -> 666[label="",style="dashed", color="magenta", weight=3]; 502 -> 667[label="",style="dashed", color="magenta", weight=3]; 503 -> 66[label="",style="dashed", color="red", weight=0]; 503[label="vuu3000 == vuu31000",fontsize=16,color="magenta"];503 -> 668[label="",style="dashed", color="magenta", weight=3]; 503 -> 669[label="",style="dashed", color="magenta", weight=3]; 504 -> 67[label="",style="dashed", color="red", weight=0]; 504[label="vuu3000 == vuu31000",fontsize=16,color="magenta"];504 -> 670[label="",style="dashed", color="magenta", weight=3]; 504 -> 671[label="",style="dashed", color="magenta", weight=3]; 505 -> 68[label="",style="dashed", color="red", weight=0]; 505[label="vuu3000 == vuu31000",fontsize=16,color="magenta"];505 -> 672[label="",style="dashed", color="magenta", weight=3]; 505 -> 673[label="",style="dashed", color="magenta", weight=3]; 506 -> 69[label="",style="dashed", color="red", weight=0]; 506[label="vuu3000 == vuu31000",fontsize=16,color="magenta"];506 -> 674[label="",style="dashed", color="magenta", weight=3]; 506 -> 675[label="",style="dashed", color="magenta", weight=3]; 507 -> 70[label="",style="dashed", color="red", weight=0]; 507[label="vuu3000 == vuu31000",fontsize=16,color="magenta"];507 -> 676[label="",style="dashed", color="magenta", weight=3]; 507 -> 677[label="",style="dashed", color="magenta", weight=3]; 508 -> 71[label="",style="dashed", color="red", weight=0]; 508[label="vuu3000 == vuu31000",fontsize=16,color="magenta"];508 -> 678[label="",style="dashed", color="magenta", weight=3]; 508 -> 679[label="",style="dashed", color="magenta", weight=3]; 509 -> 72[label="",style="dashed", color="red", weight=0]; 509[label="vuu3000 == vuu31000",fontsize=16,color="magenta"];509 -> 680[label="",style="dashed", color="magenta", weight=3]; 509 -> 681[label="",style="dashed", color="magenta", weight=3]; 510 -> 73[label="",style="dashed", color="red", weight=0]; 510[label="vuu3000 == vuu31000",fontsize=16,color="magenta"];510 -> 682[label="",style="dashed", color="magenta", weight=3]; 510 -> 683[label="",style="dashed", color="magenta", weight=3]; 511 -> 74[label="",style="dashed", color="red", weight=0]; 511[label="vuu3000 == vuu31000",fontsize=16,color="magenta"];511 -> 684[label="",style="dashed", color="magenta", weight=3]; 511 -> 685[label="",style="dashed", color="magenta", weight=3]; 512 -> 75[label="",style="dashed", color="red", weight=0]; 512[label="vuu3000 == vuu31000",fontsize=16,color="magenta"];512 -> 686[label="",style="dashed", color="magenta", weight=3]; 512 -> 687[label="",style="dashed", color="magenta", weight=3]; 513 -> 62[label="",style="dashed", color="red", weight=0]; 513[label="vuu3001 == vuu31001",fontsize=16,color="magenta"];513 -> 688[label="",style="dashed", color="magenta", weight=3]; 513 -> 689[label="",style="dashed", color="magenta", weight=3]; 514 -> 63[label="",style="dashed", color="red", weight=0]; 514[label="vuu3001 == vuu31001",fontsize=16,color="magenta"];514 -> 690[label="",style="dashed", color="magenta", weight=3]; 514 -> 691[label="",style="dashed", color="magenta", weight=3]; 515 -> 64[label="",style="dashed", color="red", weight=0]; 515[label="vuu3001 == vuu31001",fontsize=16,color="magenta"];515 -> 692[label="",style="dashed", color="magenta", weight=3]; 515 -> 693[label="",style="dashed", color="magenta", weight=3]; 516 -> 65[label="",style="dashed", color="red", weight=0]; 516[label="vuu3001 == vuu31001",fontsize=16,color="magenta"];516 -> 694[label="",style="dashed", color="magenta", weight=3]; 516 -> 695[label="",style="dashed", color="magenta", weight=3]; 517 -> 66[label="",style="dashed", color="red", weight=0]; 517[label="vuu3001 == vuu31001",fontsize=16,color="magenta"];517 -> 696[label="",style="dashed", color="magenta", weight=3]; 517 -> 697[label="",style="dashed", color="magenta", weight=3]; 518 -> 67[label="",style="dashed", color="red", weight=0]; 518[label="vuu3001 == vuu31001",fontsize=16,color="magenta"];518 -> 698[label="",style="dashed", color="magenta", weight=3]; 518 -> 699[label="",style="dashed", color="magenta", weight=3]; 519 -> 68[label="",style="dashed", color="red", weight=0]; 519[label="vuu3001 == vuu31001",fontsize=16,color="magenta"];519 -> 700[label="",style="dashed", color="magenta", weight=3]; 519 -> 701[label="",style="dashed", color="magenta", weight=3]; 520 -> 69[label="",style="dashed", color="red", weight=0]; 520[label="vuu3001 == vuu31001",fontsize=16,color="magenta"];520 -> 702[label="",style="dashed", color="magenta", weight=3]; 520 -> 703[label="",style="dashed", color="magenta", weight=3]; 521 -> 70[label="",style="dashed", color="red", weight=0]; 521[label="vuu3001 == vuu31001",fontsize=16,color="magenta"];521 -> 704[label="",style="dashed", color="magenta", weight=3]; 521 -> 705[label="",style="dashed", color="magenta", weight=3]; 522 -> 71[label="",style="dashed", color="red", weight=0]; 522[label="vuu3001 == vuu31001",fontsize=16,color="magenta"];522 -> 706[label="",style="dashed", color="magenta", weight=3]; 522 -> 707[label="",style="dashed", color="magenta", weight=3]; 523 -> 72[label="",style="dashed", color="red", weight=0]; 523[label="vuu3001 == vuu31001",fontsize=16,color="magenta"];523 -> 708[label="",style="dashed", color="magenta", weight=3]; 523 -> 709[label="",style="dashed", color="magenta", weight=3]; 524 -> 73[label="",style="dashed", color="red", weight=0]; 524[label="vuu3001 == vuu31001",fontsize=16,color="magenta"];524 -> 710[label="",style="dashed", color="magenta", weight=3]; 524 -> 711[label="",style="dashed", color="magenta", weight=3]; 525 -> 74[label="",style="dashed", color="red", weight=0]; 525[label="vuu3001 == vuu31001",fontsize=16,color="magenta"];525 -> 712[label="",style="dashed", color="magenta", weight=3]; 525 -> 713[label="",style="dashed", color="magenta", weight=3]; 526 -> 75[label="",style="dashed", color="red", weight=0]; 526[label="vuu3001 == vuu31001",fontsize=16,color="magenta"];526 -> 714[label="",style="dashed", color="magenta", weight=3]; 526 -> 715[label="",style="dashed", color="magenta", weight=3]; 527[label="primEqInt (Pos (Succ vuu30000)) (Pos (Succ vuu310000))",fontsize=16,color="black",shape="box"];527 -> 716[label="",style="solid", color="black", weight=3]; 528[label="primEqInt (Pos (Succ vuu30000)) (Pos Zero)",fontsize=16,color="black",shape="box"];528 -> 717[label="",style="solid", color="black", weight=3]; 529[label="False",fontsize=16,color="green",shape="box"];530[label="primEqInt (Pos Zero) (Pos (Succ vuu310000))",fontsize=16,color="black",shape="box"];530 -> 718[label="",style="solid", color="black", weight=3]; 531[label="primEqInt (Pos Zero) (Pos Zero)",fontsize=16,color="black",shape="box"];531 -> 719[label="",style="solid", color="black", weight=3]; 532[label="primEqInt (Pos Zero) (Neg (Succ vuu310000))",fontsize=16,color="black",shape="box"];532 -> 720[label="",style="solid", color="black", weight=3]; 533[label="primEqInt (Pos Zero) (Neg Zero)",fontsize=16,color="black",shape="box"];533 -> 721[label="",style="solid", color="black", weight=3]; 534[label="False",fontsize=16,color="green",shape="box"];535[label="primEqInt (Neg (Succ vuu30000)) (Neg (Succ vuu310000))",fontsize=16,color="black",shape="box"];535 -> 722[label="",style="solid", color="black", weight=3]; 536[label="primEqInt (Neg (Succ vuu30000)) (Neg Zero)",fontsize=16,color="black",shape="box"];536 -> 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541[label="vuu3000",fontsize=16,color="green",shape="box"];542[label="vuu31000",fontsize=16,color="green",shape="box"];543[label="vuu3000",fontsize=16,color="green",shape="box"];544[label="vuu31000",fontsize=16,color="green",shape="box"];545[label="vuu3000",fontsize=16,color="green",shape="box"];546[label="vuu31000",fontsize=16,color="green",shape="box"];547[label="vuu3000",fontsize=16,color="green",shape="box"];548[label="vuu31000",fontsize=16,color="green",shape="box"];549[label="vuu3000",fontsize=16,color="green",shape="box"];550[label="vuu31000",fontsize=16,color="green",shape="box"];551[label="vuu3000",fontsize=16,color="green",shape="box"];552[label="vuu31000",fontsize=16,color="green",shape="box"];553[label="vuu3000",fontsize=16,color="green",shape="box"];554[label="vuu31000",fontsize=16,color="green",shape="box"];555[label="vuu3000",fontsize=16,color="green",shape="box"];556[label="vuu31000",fontsize=16,color="green",shape="box"];557[label="vuu3000",fontsize=16,color="green",shape="box"];558[label="vuu31000",fontsize=16,color="green",shape="box"];559[label="vuu3000",fontsize=16,color="green",shape="box"];560[label="vuu31000",fontsize=16,color="green",shape="box"];561[label="vuu3000",fontsize=16,color="green",shape="box"];562[label="vuu31000",fontsize=16,color="green",shape="box"];563[label="vuu3000",fontsize=16,color="green",shape="box"];564[label="vuu31000",fontsize=16,color="green",shape="box"];565[label="vuu3000",fontsize=16,color="green",shape="box"];566[label="vuu31000",fontsize=16,color="green",shape="box"];567[label="vuu3000",fontsize=16,color="green",shape="box"];568[label="vuu31000",fontsize=16,color="green",shape="box"];569 -> 62[label="",style="dashed", color="red", weight=0]; 569[label="vuu3000 == vuu31000",fontsize=16,color="magenta"];569 -> 728[label="",style="dashed", color="magenta", weight=3]; 569 -> 729[label="",style="dashed", color="magenta", weight=3]; 570 -> 63[label="",style="dashed", color="red", weight=0]; 570[label="vuu3000 == vuu31000",fontsize=16,color="magenta"];570 -> 730[label="",style="dashed", color="magenta", weight=3]; 570 -> 731[label="",style="dashed", color="magenta", weight=3]; 571 -> 64[label="",style="dashed", color="red", weight=0]; 571[label="vuu3000 == vuu31000",fontsize=16,color="magenta"];571 -> 732[label="",style="dashed", color="magenta", weight=3]; 571 -> 733[label="",style="dashed", color="magenta", weight=3]; 572 -> 65[label="",style="dashed", color="red", weight=0]; 572[label="vuu3000 == vuu31000",fontsize=16,color="magenta"];572 -> 734[label="",style="dashed", color="magenta", weight=3]; 572 -> 735[label="",style="dashed", color="magenta", weight=3]; 573 -> 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74[label="",style="dashed", color="red", weight=0]; 581[label="vuu3000 == vuu31000",fontsize=16,color="magenta"];581 -> 752[label="",style="dashed", color="magenta", weight=3]; 581 -> 753[label="",style="dashed", color="magenta", weight=3]; 582 -> 75[label="",style="dashed", color="red", weight=0]; 582[label="vuu3000 == vuu31000",fontsize=16,color="magenta"];582 -> 754[label="",style="dashed", color="magenta", weight=3]; 582 -> 755[label="",style="dashed", color="magenta", weight=3]; 583[label="vuu3001",fontsize=16,color="green",shape="box"];584[label="vuu31001",fontsize=16,color="green",shape="box"];585 -> 497[label="",style="dashed", color="red", weight=0]; 585[label="vuu3000 * vuu31001",fontsize=16,color="magenta"];585 -> 756[label="",style="dashed", color="magenta", weight=3]; 585 -> 757[label="",style="dashed", color="magenta", weight=3]; 586 -> 497[label="",style="dashed", color="red", weight=0]; 586[label="vuu3001 * vuu31000",fontsize=16,color="magenta"];586 -> 758[label="",style="dashed", color="magenta", weight=3]; 586 -> 759[label="",style="dashed", color="magenta", weight=3]; 587[label="primEqNat (Succ vuu30000) vuu31000",fontsize=16,color="burlywood",shape="box"];1282[label="vuu31000/Succ vuu310000",fontsize=10,color="white",style="solid",shape="box"];587 -> 1282[label="",style="solid", color="burlywood", weight=9]; 1282 -> 760[label="",style="solid", color="burlywood", weight=3]; 1283[label="vuu31000/Zero",fontsize=10,color="white",style="solid",shape="box"];587 -> 1283[label="",style="solid", color="burlywood", weight=9]; 1283 -> 761[label="",style="solid", color="burlywood", weight=3]; 588[label="primEqNat Zero vuu31000",fontsize=16,color="burlywood",shape="box"];1284[label="vuu31000/Succ vuu310000",fontsize=10,color="white",style="solid",shape="box"];588 -> 1284[label="",style="solid", color="burlywood", weight=9]; 1284 -> 762[label="",style="solid", color="burlywood", weight=3]; 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color="red", weight=0]; 592[label="vuu3001 == vuu31001",fontsize=16,color="magenta"];592 -> 770[label="",style="dashed", color="magenta", weight=3]; 592 -> 771[label="",style="dashed", color="magenta", weight=3]; 593[label="span2Ys0 ((==) Left vuu9) vuu11 (span ((==) Left vuu9) vuu11)",fontsize=16,color="burlywood",shape="box"];1286[label="vuu11/vuu110 : vuu111",fontsize=10,color="white",style="solid",shape="box"];593 -> 1286[label="",style="solid", color="burlywood", weight=9]; 1286 -> 772[label="",style="solid", color="burlywood", weight=3]; 1287[label="vuu11/[]",fontsize=10,color="white",style="solid",shape="box"];593 -> 1287[label="",style="solid", color="burlywood", weight=9]; 1287 -> 773[label="",style="solid", color="burlywood", weight=3]; 594[label="span2Ys0 ((==) Right vuu18) vuu20 (span ((==) Right vuu18) vuu20)",fontsize=16,color="burlywood",shape="box"];1288[label="vuu20/vuu200 : vuu201",fontsize=10,color="white",style="solid",shape="box"];594 -> 1288[label="",style="solid", color="burlywood", weight=9]; 1288 -> 774[label="",style="solid", color="burlywood", weight=3]; 1289[label="vuu20/[]",fontsize=10,color="white",style="solid",shape="box"];594 -> 1289[label="",style="solid", color="burlywood", weight=9]; 1289 -> 775[label="",style="solid", color="burlywood", weight=3]; 595[label="Left vuu28 : vuu29",fontsize=16,color="green",shape="box"];596[label="span2Zs0 ((==) Left vuu27) vuu29 (span ((==) Left vuu27) vuu29)",fontsize=16,color="burlywood",shape="box"];1290[label="vuu29/vuu290 : vuu291",fontsize=10,color="white",style="solid",shape="box"];596 -> 1290[label="",style="solid", color="burlywood", weight=9]; 1290 -> 776[label="",style="solid", color="burlywood", weight=3]; 1291[label="vuu29/[]",fontsize=10,color="white",style="solid",shape="box"];596 -> 1291[label="",style="solid", color="burlywood", weight=9]; 1291 -> 777[label="",style="solid", color="burlywood", weight=3]; 597[label="Right vuu37 : vuu38",fontsize=16,color="green",shape="box"];598[label="span2Zs0 ((==) Right vuu36) vuu38 (span ((==) Right vuu36) vuu38)",fontsize=16,color="burlywood",shape="box"];1292[label="vuu38/vuu380 : vuu381",fontsize=10,color="white",style="solid",shape="box"];598 -> 1292[label="",style="solid", color="burlywood", weight=9]; 1292 -> 778[label="",style="solid", color="burlywood", weight=3]; 1293[label="vuu38/[]",fontsize=10,color="white",style="solid",shape="box"];598 -> 1293[label="",style="solid", color="burlywood", weight=9]; 1293 -> 779[label="",style="solid", color="burlywood", weight=3]; 599[label="vuu3000",fontsize=16,color="green",shape="box"];600[label="vuu31000",fontsize=16,color="green",shape="box"];601[label="vuu3000",fontsize=16,color="green",shape="box"];602[label="vuu31000",fontsize=16,color="green",shape="box"];603[label="vuu3000",fontsize=16,color="green",shape="box"];604[label="vuu31000",fontsize=16,color="green",shape="box"];605[label="vuu3000",fontsize=16,color="green",shape="box"];606[label="vuu31000",fontsize=16,color="green",shape="box"];607[label="vuu3000",fontsize=16,color="green",shape="box"];608[label="vuu31000",fontsize=16,color="green",shape="box"];609[label="vuu3000",fontsize=16,color="green",shape="box"];610[label="vuu31000",fontsize=16,color="green",shape="box"];611[label="vuu3000",fontsize=16,color="green",shape="box"];612[label="vuu31000",fontsize=16,color="green",shape="box"];613[label="vuu3000",fontsize=16,color="green",shape="box"];614[label="vuu31000",fontsize=16,color="green",shape="box"];615[label="vuu3000",fontsize=16,color="green",shape="box"];616[label="vuu31000",fontsize=16,color="green",shape="box"];617[label="vuu3000",fontsize=16,color="green",shape="box"];618[label="vuu31000",fontsize=16,color="green",shape="box"];619[label="vuu3000",fontsize=16,color="green",shape="box"];620[label="vuu31000",fontsize=16,color="green",shape="box"];621[label="vuu3000",fontsize=16,color="green",shape="box"];622[label="vuu31000",fontsize=16,color="green",shape="box"];623[label="vuu3000",fontsize=16,color="green",shape="box"];624[label="vuu31000",fontsize=16,color="green",shape="box"];625[label="vuu3000",fontsize=16,color="green",shape="box"];626[label="vuu31000",fontsize=16,color="green",shape="box"];627 -> 62[label="",style="dashed", color="red", weight=0]; 627[label="vuu3001 == vuu31001",fontsize=16,color="magenta"];627 -> 780[label="",style="dashed", color="magenta", weight=3]; 627 -> 781[label="",style="dashed", color="magenta", weight=3]; 628 -> 63[label="",style="dashed", color="red", weight=0]; 628[label="vuu3001 == vuu31001",fontsize=16,color="magenta"];628 -> 782[label="",style="dashed", color="magenta", weight=3]; 628 -> 783[label="",style="dashed", color="magenta", weight=3]; 629 -> 64[label="",style="dashed", color="red", weight=0]; 629[label="vuu3001 == vuu31001",fontsize=16,color="magenta"];629 -> 784[label="",style="dashed", color="magenta", weight=3]; 629 -> 785[label="",style="dashed", color="magenta", weight=3]; 630 -> 65[label="",style="dashed", color="red", weight=0]; 630[label="vuu3001 == vuu31001",fontsize=16,color="magenta"];630 -> 786[label="",style="dashed", color="magenta", weight=3]; 630 -> 787[label="",style="dashed", color="magenta", weight=3]; 631 -> 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68[label="",style="dashed", color="red", weight=0]; 647[label="vuu3002 == vuu31002",fontsize=16,color="magenta"];647 -> 820[label="",style="dashed", color="magenta", weight=3]; 647 -> 821[label="",style="dashed", color="magenta", weight=3]; 648 -> 69[label="",style="dashed", color="red", weight=0]; 648[label="vuu3002 == vuu31002",fontsize=16,color="magenta"];648 -> 822[label="",style="dashed", color="magenta", weight=3]; 648 -> 823[label="",style="dashed", color="magenta", weight=3]; 649 -> 70[label="",style="dashed", color="red", weight=0]; 649[label="vuu3002 == vuu31002",fontsize=16,color="magenta"];649 -> 824[label="",style="dashed", color="magenta", weight=3]; 649 -> 825[label="",style="dashed", color="magenta", weight=3]; 650 -> 71[label="",style="dashed", color="red", weight=0]; 650[label="vuu3002 == vuu31002",fontsize=16,color="magenta"];650 -> 826[label="",style="dashed", color="magenta", weight=3]; 650 -> 827[label="",style="dashed", color="magenta", weight=3]; 651 -> 72[label="",style="dashed", color="red", weight=0]; 651[label="vuu3002 == vuu31002",fontsize=16,color="magenta"];651 -> 828[label="",style="dashed", color="magenta", weight=3]; 651 -> 829[label="",style="dashed", color="magenta", weight=3]; 652 -> 73[label="",style="dashed", color="red", weight=0]; 652[label="vuu3002 == vuu31002",fontsize=16,color="magenta"];652 -> 830[label="",style="dashed", color="magenta", weight=3]; 652 -> 831[label="",style="dashed", color="magenta", weight=3]; 653 -> 74[label="",style="dashed", color="red", weight=0]; 653[label="vuu3002 == vuu31002",fontsize=16,color="magenta"];653 -> 832[label="",style="dashed", color="magenta", weight=3]; 653 -> 833[label="",style="dashed", color="magenta", weight=3]; 654 -> 75[label="",style="dashed", color="red", weight=0]; 654[label="vuu3002 == vuu31002",fontsize=16,color="magenta"];654 -> 834[label="",style="dashed", color="magenta", weight=3]; 654 -> 835[label="",style="dashed", color="magenta", weight=3]; 655[label="False",fontsize=16,color="green",shape="box"];656[label="vuu58",fontsize=16,color="green",shape="box"];657[label="primMulInt vuu3000 vuu31001",fontsize=16,color="burlywood",shape="box"];1294[label="vuu3000/Pos vuu30000",fontsize=10,color="white",style="solid",shape="box"];657 -> 1294[label="",style="solid", color="burlywood", weight=9]; 1294 -> 836[label="",style="solid", color="burlywood", weight=3]; 1295[label="vuu3000/Neg vuu30000",fontsize=10,color="white",style="solid",shape="box"];657 -> 1295[label="",style="solid", color="burlywood", weight=9]; 1295 -> 837[label="",style="solid", color="burlywood", weight=3]; 658[label="vuu3001",fontsize=16,color="green",shape="box"];659[label="vuu31000",fontsize=16,color="green",shape="box"];660[label="vuu3000",fontsize=16,color="green",shape="box"];661[label="vuu31000",fontsize=16,color="green",shape="box"];662[label="vuu3000",fontsize=16,color="green",shape="box"];663[label="vuu31000",fontsize=16,color="green",shape="box"];664[label="vuu3000",fontsize=16,color="green",shape="box"];665[label="vuu31000",fontsize=16,color="green",shape="box"];666[label="vuu3000",fontsize=16,color="green",shape="box"];667[label="vuu31000",fontsize=16,color="green",shape="box"];668[label="vuu3000",fontsize=16,color="green",shape="box"];669[label="vuu31000",fontsize=16,color="green",shape="box"];670[label="vuu3000",fontsize=16,color="green",shape="box"];671[label="vuu31000",fontsize=16,color="green",shape="box"];672[label="vuu3000",fontsize=16,color="green",shape="box"];673[label="vuu31000",fontsize=16,color="green",shape="box"];674[label="vuu3000",fontsize=16,color="green",shape="box"];675[label="vuu31000",fontsize=16,color="green",shape="box"];676[label="vuu3000",fontsize=16,color="green",shape="box"];677[label="vuu31000",fontsize=16,color="green",shape="box"];678[label="vuu3000",fontsize=16,color="green",shape="box"];679[label="vuu31000",fontsize=16,color="green",shape="box"];680[label="vuu3000",fontsize=16,color="green",shape="box"];681[label="vuu31000",fontsize=16,color="green",shape="box"];682[label="vuu3000",fontsize=16,color="green",shape="box"];683[label="vuu31000",fontsize=16,color="green",shape="box"];684[label="vuu3000",fontsize=16,color="green",shape="box"];685[label="vuu31000",fontsize=16,color="green",shape="box"];686[label="vuu3000",fontsize=16,color="green",shape="box"];687[label="vuu31000",fontsize=16,color="green",shape="box"];688[label="vuu3001",fontsize=16,color="green",shape="box"];689[label="vuu31001",fontsize=16,color="green",shape="box"];690[label="vuu3001",fontsize=16,color="green",shape="box"];691[label="vuu31001",fontsize=16,color="green",shape="box"];692[label="vuu3001",fontsize=16,color="green",shape="box"];693[label="vuu31001",fontsize=16,color="green",shape="box"];694[label="vuu3001",fontsize=16,color="green",shape="box"];695[label="vuu31001",fontsize=16,color="green",shape="box"];696[label="vuu3001",fontsize=16,color="green",shape="box"];697[label="vuu31001",fontsize=16,color="green",shape="box"];698[label="vuu3001",fontsize=16,color="green",shape="box"];699[label="vuu31001",fontsize=16,color="green",shape="box"];700[label="vuu3001",fontsize=16,color="green",shape="box"];701[label="vuu31001",fontsize=16,color="green",shape="box"];702[label="vuu3001",fontsize=16,color="green",shape="box"];703[label="vuu31001",fontsize=16,color="green",shape="box"];704[label="vuu3001",fontsize=16,color="green",shape="box"];705[label="vuu31001",fontsize=16,color="green",shape="box"];706[label="vuu3001",fontsize=16,color="green",shape="box"];707[label="vuu31001",fontsize=16,color="green",shape="box"];708[label="vuu3001",fontsize=16,color="green",shape="box"];709[label="vuu31001",fontsize=16,color="green",shape="box"];710[label="vuu3001",fontsize=16,color="green",shape="box"];711[label="vuu31001",fontsize=16,color="green",shape="box"];712[label="vuu3001",fontsize=16,color="green",shape="box"];713[label="vuu31001",fontsize=16,color="green",shape="box"];714[label="vuu3001",fontsize=16,color="green",shape="box"];715[label="vuu31001",fontsize=16,color="green",shape="box"];716 -> 388[label="",style="dashed", color="red", weight=0]; 716[label="primEqNat vuu30000 vuu310000",fontsize=16,color="magenta"];716 -> 838[label="",style="dashed", color="magenta", weight=3]; 716 -> 839[label="",style="dashed", color="magenta", weight=3]; 717[label="False",fontsize=16,color="green",shape="box"];718[label="False",fontsize=16,color="green",shape="box"];719[label="True",fontsize=16,color="green",shape="box"];720[label="False",fontsize=16,color="green",shape="box"];721[label="True",fontsize=16,color="green",shape="box"];722 -> 388[label="",style="dashed", color="red", weight=0]; 722[label="primEqNat vuu30000 vuu310000",fontsize=16,color="magenta"];722 -> 840[label="",style="dashed", color="magenta", weight=3]; 722 -> 841[label="",style="dashed", color="magenta", weight=3]; 723[label="False",fontsize=16,color="green",shape="box"];724[label="False",fontsize=16,color="green",shape="box"];725[label="True",fontsize=16,color="green",shape="box"];726[label="False",fontsize=16,color="green",shape="box"];727[label="True",fontsize=16,color="green",shape="box"];728[label="vuu3000",fontsize=16,color="green",shape="box"];729[label="vuu31000",fontsize=16,color="green",shape="box"];730[label="vuu3000",fontsize=16,color="green",shape="box"];731[label="vuu31000",fontsize=16,color="green",shape="box"];732[label="vuu3000",fontsize=16,color="green",shape="box"];733[label="vuu31000",fontsize=16,color="green",shape="box"];734[label="vuu3000",fontsize=16,color="green",shape="box"];735[label="vuu31000",fontsize=16,color="green",shape="box"];736[label="vuu3000",fontsize=16,color="green",shape="box"];737[label="vuu31000",fontsize=16,color="green",shape="box"];738[label="vuu3000",fontsize=16,color="green",shape="box"];739[label="vuu31000",fontsize=16,color="green",shape="box"];740[label="vuu3000",fontsize=16,color="green",shape="box"];741[label="vuu31000",fontsize=16,color="green",shape="box"];742[label="vuu3000",fontsize=16,color="green",shape="box"];743[label="vuu31000",fontsize=16,color="green",shape="box"];744[label="vuu3000",fontsize=16,color="green",shape="box"];745[label="vuu31000",fontsize=16,color="green",shape="box"];746[label="vuu3000",fontsize=16,color="green",shape="box"];747[label="vuu31000",fontsize=16,color="green",shape="box"];748[label="vuu3000",fontsize=16,color="green",shape="box"];749[label="vuu31000",fontsize=16,color="green",shape="box"];750[label="vuu3000",fontsize=16,color="green",shape="box"];751[label="vuu31000",fontsize=16,color="green",shape="box"];752[label="vuu3000",fontsize=16,color="green",shape="box"];753[label="vuu31000",fontsize=16,color="green",shape="box"];754[label="vuu3000",fontsize=16,color="green",shape="box"];755[label="vuu31000",fontsize=16,color="green",shape="box"];756[label="vuu3000",fontsize=16,color="green",shape="box"];757[label="vuu31001",fontsize=16,color="green",shape="box"];758[label="vuu3001",fontsize=16,color="green",shape="box"];759[label="vuu31000",fontsize=16,color="green",shape="box"];760[label="primEqNat (Succ vuu30000) (Succ vuu310000)",fontsize=16,color="black",shape="box"];760 -> 842[label="",style="solid", color="black", weight=3]; 761[label="primEqNat (Succ vuu30000) Zero",fontsize=16,color="black",shape="box"];761 -> 843[label="",style="solid", color="black", weight=3]; 762[label="primEqNat Zero (Succ vuu310000)",fontsize=16,color="black",shape="box"];762 -> 844[label="",style="solid", color="black", weight=3]; 763[label="primEqNat Zero Zero",fontsize=16,color="black",shape="box"];763 -> 845[label="",style="solid", color="black", weight=3]; 764[label="vuu3000",fontsize=16,color="green",shape="box"];765[label="vuu31000",fontsize=16,color="green",shape="box"];766[label="vuu3000",fontsize=16,color="green",shape="box"];767[label="vuu31000",fontsize=16,color="green",shape="box"];768[label="vuu3001",fontsize=16,color="green",shape="box"];769[label="vuu31001",fontsize=16,color="green",shape="box"];770[label="vuu3001",fontsize=16,color="green",shape="box"];771[label="vuu31001",fontsize=16,color="green",shape="box"];772[label="span2Ys0 ((==) Left vuu9) (vuu110 : vuu111) (span ((==) Left vuu9) (vuu110 : vuu111))",fontsize=16,color="black",shape="box"];772 -> 846[label="",style="solid", color="black", weight=3]; 773[label="span2Ys0 ((==) Left vuu9) [] (span ((==) Left vuu9) [])",fontsize=16,color="black",shape="box"];773 -> 847[label="",style="solid", color="black", weight=3]; 774[label="span2Ys0 ((==) Right vuu18) (vuu200 : vuu201) (span ((==) Right vuu18) (vuu200 : vuu201))",fontsize=16,color="black",shape="box"];774 -> 848[label="",style="solid", color="black", weight=3]; 775[label="span2Ys0 ((==) Right vuu18) [] (span ((==) Right vuu18) [])",fontsize=16,color="black",shape="box"];775 -> 849[label="",style="solid", color="black", weight=3]; 776[label="span2Zs0 ((==) Left vuu27) (vuu290 : vuu291) (span ((==) Left vuu27) (vuu290 : vuu291))",fontsize=16,color="black",shape="box"];776 -> 850[label="",style="solid", color="black", weight=3]; 777[label="span2Zs0 ((==) Left vuu27) [] (span ((==) Left vuu27) [])",fontsize=16,color="black",shape="box"];777 -> 851[label="",style="solid", color="black", weight=3]; 778[label="span2Zs0 ((==) Right vuu36) (vuu380 : vuu381) (span ((==) Right vuu36) (vuu380 : vuu381))",fontsize=16,color="black",shape="box"];778 -> 852[label="",style="solid", color="black", weight=3]; 779[label="span2Zs0 ((==) Right vuu36) [] (span ((==) Right vuu36) [])",fontsize=16,color="black",shape="box"];779 -> 853[label="",style="solid", color="black", weight=3]; 780[label="vuu3001",fontsize=16,color="green",shape="box"];781[label="vuu31001",fontsize=16,color="green",shape="box"];782[label="vuu3001",fontsize=16,color="green",shape="box"];783[label="vuu31001",fontsize=16,color="green",shape="box"];784[label="vuu3001",fontsize=16,color="green",shape="box"];785[label="vuu31001",fontsize=16,color="green",shape="box"];786[label="vuu3001",fontsize=16,color="green",shape="box"];787[label="vuu31001",fontsize=16,color="green",shape="box"];788[label="vuu3001",fontsize=16,color="green",shape="box"];789[label="vuu31001",fontsize=16,color="green",shape="box"];790[label="vuu3001",fontsize=16,color="green",shape="box"];791[label="vuu31001",fontsize=16,color="green",shape="box"];792[label="vuu3001",fontsize=16,color="green",shape="box"];793[label="vuu31001",fontsize=16,color="green",shape="box"];794[label="vuu3001",fontsize=16,color="green",shape="box"];795[label="vuu31001",fontsize=16,color="green",shape="box"];796[label="vuu3001",fontsize=16,color="green",shape="box"];797[label="vuu31001",fontsize=16,color="green",shape="box"];798[label="vuu3001",fontsize=16,color="green",shape="box"];799[label="vuu31001",fontsize=16,color="green",shape="box"];800[label="vuu3001",fontsize=16,color="green",shape="box"];801[label="vuu31001",fontsize=16,color="green",shape="box"];802[label="vuu3001",fontsize=16,color="green",shape="box"];803[label="vuu31001",fontsize=16,color="green",shape="box"];804[label="vuu3001",fontsize=16,color="green",shape="box"];805[label="vuu31001",fontsize=16,color="green",shape="box"];806[label="vuu3001",fontsize=16,color="green",shape="box"];807[label="vuu31001",fontsize=16,color="green",shape="box"];808[label="vuu3002",fontsize=16,color="green",shape="box"];809[label="vuu31002",fontsize=16,color="green",shape="box"];810[label="vuu3002",fontsize=16,color="green",shape="box"];811[label="vuu31002",fontsize=16,color="green",shape="box"];812[label="vuu3002",fontsize=16,color="green",shape="box"];813[label="vuu31002",fontsize=16,color="green",shape="box"];814[label="vuu3002",fontsize=16,color="green",shape="box"];815[label="vuu31002",fontsize=16,color="green",shape="box"];816[label="vuu3002",fontsize=16,color="green",shape="box"];817[label="vuu31002",fontsize=16,color="green",shape="box"];818[label="vuu3002",fontsize=16,color="green",shape="box"];819[label="vuu31002",fontsize=16,color="green",shape="box"];820[label="vuu3002",fontsize=16,color="green",shape="box"];821[label="vuu31002",fontsize=16,color="green",shape="box"];822[label="vuu3002",fontsize=16,color="green",shape="box"];823[label="vuu31002",fontsize=16,color="green",shape="box"];824[label="vuu3002",fontsize=16,color="green",shape="box"];825[label="vuu31002",fontsize=16,color="green",shape="box"];826[label="vuu3002",fontsize=16,color="green",shape="box"];827[label="vuu31002",fontsize=16,color="green",shape="box"];828[label="vuu3002",fontsize=16,color="green",shape="box"];829[label="vuu31002",fontsize=16,color="green",shape="box"];830[label="vuu3002",fontsize=16,color="green",shape="box"];831[label="vuu31002",fontsize=16,color="green",shape="box"];832[label="vuu3002",fontsize=16,color="green",shape="box"];833[label="vuu31002",fontsize=16,color="green",shape="box"];834[label="vuu3002",fontsize=16,color="green",shape="box"];835[label="vuu31002",fontsize=16,color="green",shape="box"];836[label="primMulInt (Pos vuu30000) vuu31001",fontsize=16,color="burlywood",shape="box"];1296[label="vuu31001/Pos vuu310010",fontsize=10,color="white",style="solid",shape="box"];836 -> 1296[label="",style="solid", color="burlywood", weight=9]; 1296 -> 854[label="",style="solid", color="burlywood", weight=3]; 1297[label="vuu31001/Neg vuu310010",fontsize=10,color="white",style="solid",shape="box"];836 -> 1297[label="",style="solid", color="burlywood", weight=9]; 1297 -> 855[label="",style="solid", color="burlywood", weight=3]; 837[label="primMulInt (Neg vuu30000) vuu31001",fontsize=16,color="burlywood",shape="box"];1298[label="vuu31001/Pos vuu310010",fontsize=10,color="white",style="solid",shape="box"];837 -> 1298[label="",style="solid", color="burlywood", weight=9]; 1298 -> 856[label="",style="solid", color="burlywood", weight=3]; 1299[label="vuu31001/Neg vuu310010",fontsize=10,color="white",style="solid",shape="box"];837 -> 1299[label="",style="solid", color="burlywood", weight=9]; 1299 -> 857[label="",style="solid", color="burlywood", weight=3]; 838[label="vuu30000",fontsize=16,color="green",shape="box"];839[label="vuu310000",fontsize=16,color="green",shape="box"];840[label="vuu30000",fontsize=16,color="green",shape="box"];841[label="vuu310000",fontsize=16,color="green",shape="box"];842 -> 388[label="",style="dashed", color="red", weight=0]; 842[label="primEqNat vuu30000 vuu310000",fontsize=16,color="magenta"];842 -> 858[label="",style="dashed", color="magenta", weight=3]; 842 -> 859[label="",style="dashed", color="magenta", weight=3]; 843[label="False",fontsize=16,color="green",shape="box"];844[label="False",fontsize=16,color="green",shape="box"];845[label="True",fontsize=16,color="green",shape="box"];846[label="span2Ys0 ((==) Left vuu9) (vuu110 : vuu111) (span2 ((==) Left vuu9) (vuu110 : vuu111))",fontsize=16,color="black",shape="box"];846 -> 860[label="",style="solid", color="black", weight=3]; 847[label="span2Ys0 ((==) Left vuu9) [] (span3 ((==) Left vuu9) [])",fontsize=16,color="black",shape="box"];847 -> 861[label="",style="solid", color="black", weight=3]; 848[label="span2Ys0 ((==) Right vuu18) (vuu200 : vuu201) (span2 ((==) Right vuu18) (vuu200 : vuu201))",fontsize=16,color="black",shape="box"];848 -> 862[label="",style="solid", color="black", weight=3]; 849[label="span2Ys0 ((==) Right vuu18) [] (span3 ((==) Right vuu18) [])",fontsize=16,color="black",shape="box"];849 -> 863[label="",style="solid", color="black", weight=3]; 850[label="span2Zs0 ((==) Left vuu27) (vuu290 : vuu291) (span2 ((==) Left vuu27) (vuu290 : vuu291))",fontsize=16,color="black",shape="box"];850 -> 864[label="",style="solid", color="black", weight=3]; 851[label="span2Zs0 ((==) Left vuu27) [] (span3 ((==) Left vuu27) [])",fontsize=16,color="black",shape="box"];851 -> 865[label="",style="solid", color="black", weight=3]; 852[label="span2Zs0 ((==) Right vuu36) (vuu380 : vuu381) (span2 ((==) Right vuu36) (vuu380 : vuu381))",fontsize=16,color="black",shape="box"];852 -> 866[label="",style="solid", color="black", weight=3]; 853[label="span2Zs0 ((==) Right vuu36) [] (span3 ((==) Right vuu36) [])",fontsize=16,color="black",shape="box"];853 -> 867[label="",style="solid", color="black", weight=3]; 854[label="primMulInt (Pos vuu30000) (Pos vuu310010)",fontsize=16,color="black",shape="box"];854 -> 868[label="",style="solid", color="black", weight=3]; 855[label="primMulInt (Pos vuu30000) (Neg vuu310010)",fontsize=16,color="black",shape="box"];855 -> 869[label="",style="solid", color="black", weight=3]; 856[label="primMulInt (Neg vuu30000) (Pos vuu310010)",fontsize=16,color="black",shape="box"];856 -> 870[label="",style="solid", color="black", weight=3]; 857[label="primMulInt (Neg vuu30000) (Neg vuu310010)",fontsize=16,color="black",shape="box"];857 -> 871[label="",style="solid", color="black", weight=3]; 858[label="vuu30000",fontsize=16,color="green",shape="box"];859[label="vuu310000",fontsize=16,color="green",shape="box"];860 -> 872[label="",style="dashed", color="red", weight=0]; 860[label="span2Ys0 ((==) Left vuu9) (vuu110 : vuu111) (span2Span1 ((==) Left vuu9) vuu111 ((==) Left vuu9) vuu110 vuu111 ((==) Left vuu9 vuu110))",fontsize=16,color="magenta"];860 -> 873[label="",style="dashed", color="magenta", weight=3]; 861[label="span2Ys0 ((==) Left vuu9) [] ([],[])",fontsize=16,color="black",shape="box"];861 -> 874[label="",style="solid", color="black", weight=3]; 862 -> 875[label="",style="dashed", color="red", weight=0]; 862[label="span2Ys0 ((==) Right vuu18) (vuu200 : vuu201) (span2Span1 ((==) Right vuu18) vuu201 ((==) Right vuu18) vuu200 vuu201 ((==) Right vuu18 vuu200))",fontsize=16,color="magenta"];862 -> 876[label="",style="dashed", color="magenta", weight=3]; 863[label="span2Ys0 ((==) Right vuu18) [] ([],[])",fontsize=16,color="black",shape="box"];863 -> 877[label="",style="solid", color="black", weight=3]; 864 -> 878[label="",style="dashed", color="red", weight=0]; 864[label="span2Zs0 ((==) Left vuu27) (vuu290 : vuu291) (span2Span1 ((==) Left vuu27) vuu291 ((==) Left vuu27) vuu290 vuu291 ((==) Left vuu27 vuu290))",fontsize=16,color="magenta"];864 -> 879[label="",style="dashed", color="magenta", weight=3]; 865[label="span2Zs0 ((==) Left vuu27) [] ([],[])",fontsize=16,color="black",shape="box"];865 -> 880[label="",style="solid", color="black", weight=3]; 866 -> 881[label="",style="dashed", color="red", weight=0]; 866[label="span2Zs0 ((==) Right vuu36) (vuu380 : vuu381) (span2Span1 ((==) Right vuu36) vuu381 ((==) Right vuu36) vuu380 vuu381 ((==) Right vuu36 vuu380))",fontsize=16,color="magenta"];866 -> 882[label="",style="dashed", color="magenta", weight=3]; 867[label="span2Zs0 ((==) Right vuu36) [] ([],[])",fontsize=16,color="black",shape="box"];867 -> 883[label="",style="solid", color="black", weight=3]; 868[label="Pos (primMulNat vuu30000 vuu310010)",fontsize=16,color="green",shape="box"];868 -> 884[label="",style="dashed", color="green", weight=3]; 869[label="Neg (primMulNat vuu30000 vuu310010)",fontsize=16,color="green",shape="box"];869 -> 885[label="",style="dashed", color="green", weight=3]; 870[label="Neg (primMulNat vuu30000 vuu310010)",fontsize=16,color="green",shape="box"];870 -> 886[label="",style="dashed", color="green", weight=3]; 871[label="Pos (primMulNat vuu30000 vuu310010)",fontsize=16,color="green",shape="box"];871 -> 887[label="",style="dashed", color="green", weight=3]; 873 -> 64[label="",style="dashed", color="red", weight=0]; 873[label="(==) Left vuu9 vuu110",fontsize=16,color="magenta"];873 -> 888[label="",style="dashed", color="magenta", weight=3]; 873 -> 889[label="",style="dashed", color="magenta", weight=3]; 872[label="span2Ys0 ((==) Left vuu9) (vuu110 : vuu111) (span2Span1 ((==) Left vuu9) vuu111 ((==) Left vuu9) vuu110 vuu111 vuu59)",fontsize=16,color="burlywood",shape="triangle"];1300[label="vuu59/False",fontsize=10,color="white",style="solid",shape="box"];872 -> 1300[label="",style="solid", color="burlywood", weight=9]; 1300 -> 890[label="",style="solid", color="burlywood", weight=3]; 1301[label="vuu59/True",fontsize=10,color="white",style="solid",shape="box"];872 -> 1301[label="",style="solid", color="burlywood", weight=9]; 1301 -> 891[label="",style="solid", color="burlywood", weight=3]; 874[label="[]",fontsize=16,color="green",shape="box"];876 -> 64[label="",style="dashed", color="red", weight=0]; 876[label="(==) Right vuu18 vuu200",fontsize=16,color="magenta"];876 -> 892[label="",style="dashed", color="magenta", weight=3]; 876 -> 893[label="",style="dashed", color="magenta", weight=3]; 875[label="span2Ys0 ((==) Right vuu18) (vuu200 : vuu201) (span2Span1 ((==) Right vuu18) vuu201 ((==) Right vuu18) vuu200 vuu201 vuu60)",fontsize=16,color="burlywood",shape="triangle"];1302[label="vuu60/False",fontsize=10,color="white",style="solid",shape="box"];875 -> 1302[label="",style="solid", color="burlywood", weight=9]; 1302 -> 894[label="",style="solid", color="burlywood", weight=3]; 1303[label="vuu60/True",fontsize=10,color="white",style="solid",shape="box"];875 -> 1303[label="",style="solid", color="burlywood", weight=9]; 1303 -> 895[label="",style="solid", color="burlywood", weight=3]; 877[label="[]",fontsize=16,color="green",shape="box"];879 -> 64[label="",style="dashed", color="red", weight=0]; 879[label="(==) Left vuu27 vuu290",fontsize=16,color="magenta"];879 -> 896[label="",style="dashed", color="magenta", weight=3]; 879 -> 897[label="",style="dashed", color="magenta", weight=3]; 878[label="span2Zs0 ((==) Left vuu27) (vuu290 : vuu291) (span2Span1 ((==) Left vuu27) vuu291 ((==) Left vuu27) vuu290 vuu291 vuu61)",fontsize=16,color="burlywood",shape="triangle"];1304[label="vuu61/False",fontsize=10,color="white",style="solid",shape="box"];878 -> 1304[label="",style="solid", color="burlywood", weight=9]; 1304 -> 898[label="",style="solid", color="burlywood", weight=3]; 1305[label="vuu61/True",fontsize=10,color="white",style="solid",shape="box"];878 -> 1305[label="",style="solid", color="burlywood", weight=9]; 1305 -> 899[label="",style="solid", color="burlywood", weight=3]; 880[label="[]",fontsize=16,color="green",shape="box"];882 -> 64[label="",style="dashed", color="red", weight=0]; 882[label="(==) Right vuu36 vuu380",fontsize=16,color="magenta"];882 -> 900[label="",style="dashed", color="magenta", weight=3]; 882 -> 901[label="",style="dashed", color="magenta", weight=3]; 881[label="span2Zs0 ((==) Right vuu36) (vuu380 : vuu381) (span2Span1 ((==) Right vuu36) vuu381 ((==) Right vuu36) vuu380 vuu381 vuu62)",fontsize=16,color="burlywood",shape="triangle"];1306[label="vuu62/False",fontsize=10,color="white",style="solid",shape="box"];881 -> 1306[label="",style="solid", color="burlywood", weight=9]; 1306 -> 902[label="",style="solid", color="burlywood", weight=3]; 1307[label="vuu62/True",fontsize=10,color="white",style="solid",shape="box"];881 -> 1307[label="",style="solid", color="burlywood", weight=9]; 1307 -> 903[label="",style="solid", color="burlywood", weight=3]; 883[label="[]",fontsize=16,color="green",shape="box"];884[label="primMulNat vuu30000 vuu310010",fontsize=16,color="burlywood",shape="triangle"];1308[label="vuu30000/Succ vuu300000",fontsize=10,color="white",style="solid",shape="box"];884 -> 1308[label="",style="solid", color="burlywood", weight=9]; 1308 -> 904[label="",style="solid", color="burlywood", weight=3]; 1309[label="vuu30000/Zero",fontsize=10,color="white",style="solid",shape="box"];884 -> 1309[label="",style="solid", color="burlywood", weight=9]; 1309 -> 905[label="",style="solid", color="burlywood", weight=3]; 885 -> 884[label="",style="dashed", color="red", weight=0]; 885[label="primMulNat vuu30000 vuu310010",fontsize=16,color="magenta"];885 -> 906[label="",style="dashed", color="magenta", weight=3]; 886 -> 884[label="",style="dashed", color="red", weight=0]; 886[label="primMulNat vuu30000 vuu310010",fontsize=16,color="magenta"];886 -> 907[label="",style="dashed", color="magenta", weight=3]; 887 -> 884[label="",style="dashed", color="red", weight=0]; 887[label="primMulNat vuu30000 vuu310010",fontsize=16,color="magenta"];887 -> 908[label="",style="dashed", color="magenta", weight=3]; 887 -> 909[label="",style="dashed", color="magenta", weight=3]; 888[label="Left vuu9",fontsize=16,color="green",shape="box"];889[label="vuu110",fontsize=16,color="green",shape="box"];890[label="span2Ys0 ((==) Left vuu9) (vuu110 : vuu111) (span2Span1 ((==) Left vuu9) vuu111 ((==) Left vuu9) vuu110 vuu111 False)",fontsize=16,color="black",shape="box"];890 -> 910[label="",style="solid", color="black", weight=3]; 891[label="span2Ys0 ((==) Left vuu9) (vuu110 : vuu111) (span2Span1 ((==) Left vuu9) vuu111 ((==) Left vuu9) vuu110 vuu111 True)",fontsize=16,color="black",shape="box"];891 -> 911[label="",style="solid", color="black", weight=3]; 892[label="Right vuu18",fontsize=16,color="green",shape="box"];893[label="vuu200",fontsize=16,color="green",shape="box"];894[label="span2Ys0 ((==) Right vuu18) (vuu200 : vuu201) (span2Span1 ((==) Right vuu18) vuu201 ((==) Right vuu18) vuu200 vuu201 False)",fontsize=16,color="black",shape="box"];894 -> 912[label="",style="solid", color="black", weight=3]; 895[label="span2Ys0 ((==) Right vuu18) (vuu200 : vuu201) (span2Span1 ((==) Right vuu18) vuu201 ((==) Right vuu18) vuu200 vuu201 True)",fontsize=16,color="black",shape="box"];895 -> 913[label="",style="solid", color="black", weight=3]; 896[label="Left vuu27",fontsize=16,color="green",shape="box"];897[label="vuu290",fontsize=16,color="green",shape="box"];898[label="span2Zs0 ((==) Left vuu27) (vuu290 : vuu291) (span2Span1 ((==) Left vuu27) vuu291 ((==) Left vuu27) vuu290 vuu291 False)",fontsize=16,color="black",shape="box"];898 -> 914[label="",style="solid", color="black", weight=3]; 899[label="span2Zs0 ((==) Left vuu27) (vuu290 : vuu291) (span2Span1 ((==) Left vuu27) vuu291 ((==) Left vuu27) vuu290 vuu291 True)",fontsize=16,color="black",shape="box"];899 -> 915[label="",style="solid", color="black", weight=3]; 900[label="Right vuu36",fontsize=16,color="green",shape="box"];901[label="vuu380",fontsize=16,color="green",shape="box"];902[label="span2Zs0 ((==) Right vuu36) (vuu380 : vuu381) (span2Span1 ((==) Right vuu36) vuu381 ((==) Right vuu36) vuu380 vuu381 False)",fontsize=16,color="black",shape="box"];902 -> 916[label="",style="solid", color="black", weight=3]; 903[label="span2Zs0 ((==) Right vuu36) (vuu380 : vuu381) (span2Span1 ((==) Right vuu36) vuu381 ((==) Right vuu36) vuu380 vuu381 True)",fontsize=16,color="black",shape="box"];903 -> 917[label="",style="solid", color="black", weight=3]; 904[label="primMulNat (Succ vuu300000) vuu310010",fontsize=16,color="burlywood",shape="box"];1310[label="vuu310010/Succ vuu3100100",fontsize=10,color="white",style="solid",shape="box"];904 -> 1310[label="",style="solid", color="burlywood", weight=9]; 1310 -> 918[label="",style="solid", color="burlywood", weight=3]; 1311[label="vuu310010/Zero",fontsize=10,color="white",style="solid",shape="box"];904 -> 1311[label="",style="solid", color="burlywood", weight=9]; 1311 -> 919[label="",style="solid", color="burlywood", weight=3]; 905[label="primMulNat Zero vuu310010",fontsize=16,color="burlywood",shape="box"];1312[label="vuu310010/Succ vuu3100100",fontsize=10,color="white",style="solid",shape="box"];905 -> 1312[label="",style="solid", color="burlywood", weight=9]; 1312 -> 920[label="",style="solid", color="burlywood", weight=3]; 1313[label="vuu310010/Zero",fontsize=10,color="white",style="solid",shape="box"];905 -> 1313[label="",style="solid", color="burlywood", weight=9]; 1313 -> 921[label="",style="solid", color="burlywood", weight=3]; 906[label="vuu310010",fontsize=16,color="green",shape="box"];907[label="vuu30000",fontsize=16,color="green",shape="box"];908[label="vuu310010",fontsize=16,color="green",shape="box"];909[label="vuu30000",fontsize=16,color="green",shape="box"];910[label="span2Ys0 ((==) Left vuu9) (vuu110 : vuu111) (span2Span0 ((==) Left vuu9) vuu111 ((==) Left vuu9) vuu110 vuu111 otherwise)",fontsize=16,color="black",shape="box"];910 -> 922[label="",style="solid", color="black", weight=3]; 911 -> 923[label="",style="dashed", color="red", weight=0]; 911[label="span2Ys0 ((==) Left vuu9) (vuu110 : vuu111) (vuu110 : span2Ys ((==) Left vuu9) vuu111,span2Zs ((==) Left vuu9) vuu111)",fontsize=16,color="magenta"];911 -> 924[label="",style="dashed", color="magenta", weight=3]; 911 -> 925[label="",style="dashed", color="magenta", weight=3]; 912[label="span2Ys0 ((==) Right vuu18) (vuu200 : vuu201) (span2Span0 ((==) Right vuu18) vuu201 ((==) Right vuu18) vuu200 vuu201 otherwise)",fontsize=16,color="black",shape="box"];912 -> 926[label="",style="solid", color="black", weight=3]; 913 -> 927[label="",style="dashed", color="red", weight=0]; 913[label="span2Ys0 ((==) Right vuu18) (vuu200 : vuu201) (vuu200 : span2Ys ((==) Right vuu18) vuu201,span2Zs ((==) Right vuu18) vuu201)",fontsize=16,color="magenta"];913 -> 928[label="",style="dashed", color="magenta", weight=3]; 913 -> 929[label="",style="dashed", color="magenta", weight=3]; 914[label="span2Zs0 ((==) Left vuu27) (vuu290 : vuu291) (span2Span0 ((==) Left vuu27) vuu291 ((==) Left vuu27) vuu290 vuu291 otherwise)",fontsize=16,color="black",shape="box"];914 -> 930[label="",style="solid", color="black", weight=3]; 915 -> 931[label="",style="dashed", color="red", weight=0]; 915[label="span2Zs0 ((==) Left vuu27) (vuu290 : vuu291) (vuu290 : span2Ys ((==) Left vuu27) vuu291,span2Zs ((==) Left vuu27) vuu291)",fontsize=16,color="magenta"];915 -> 932[label="",style="dashed", color="magenta", weight=3]; 915 -> 933[label="",style="dashed", color="magenta", weight=3]; 916[label="span2Zs0 ((==) Right vuu36) (vuu380 : vuu381) (span2Span0 ((==) Right vuu36) vuu381 ((==) Right vuu36) vuu380 vuu381 otherwise)",fontsize=16,color="black",shape="box"];916 -> 934[label="",style="solid", color="black", weight=3]; 917 -> 935[label="",style="dashed", color="red", weight=0]; 917[label="span2Zs0 ((==) Right vuu36) (vuu380 : vuu381) (vuu380 : span2Ys ((==) Right vuu36) vuu381,span2Zs ((==) Right vuu36) vuu381)",fontsize=16,color="magenta"];917 -> 936[label="",style="dashed", color="magenta", weight=3]; 917 -> 937[label="",style="dashed", color="magenta", weight=3]; 918[label="primMulNat (Succ vuu300000) (Succ vuu3100100)",fontsize=16,color="black",shape="box"];918 -> 938[label="",style="solid", color="black", weight=3]; 919[label="primMulNat (Succ vuu300000) Zero",fontsize=16,color="black",shape="box"];919 -> 939[label="",style="solid", color="black", weight=3]; 920[label="primMulNat Zero (Succ vuu3100100)",fontsize=16,color="black",shape="box"];920 -> 940[label="",style="solid", color="black", weight=3]; 921[label="primMulNat Zero Zero",fontsize=16,color="black",shape="box"];921 -> 941[label="",style="solid", color="black", weight=3]; 922[label="span2Ys0 ((==) Left vuu9) (vuu110 : vuu111) (span2Span0 ((==) Left vuu9) vuu111 ((==) Left vuu9) vuu110 vuu111 True)",fontsize=16,color="black",shape="box"];922 -> 942[label="",style="solid", color="black", weight=3]; 924 -> 309[label="",style="dashed", color="red", weight=0]; 924[label="span2Ys ((==) Left vuu9) vuu111",fontsize=16,color="magenta"];924 -> 943[label="",style="dashed", color="magenta", weight=3]; 925 -> 313[label="",style="dashed", color="red", weight=0]; 925[label="span2Zs ((==) Left vuu9) vuu111",fontsize=16,color="magenta"];925 -> 944[label="",style="dashed", color="magenta", weight=3]; 925 -> 945[label="",style="dashed", color="magenta", weight=3]; 923[label="span2Ys0 ((==) Left vuu9) (vuu110 : vuu111) (vuu110 : vuu64,vuu63)",fontsize=16,color="black",shape="triangle"];923 -> 946[label="",style="solid", color="black", weight=3]; 926[label="span2Ys0 ((==) Right vuu18) (vuu200 : vuu201) (span2Span0 ((==) Right vuu18) vuu201 ((==) Right vuu18) vuu200 vuu201 True)",fontsize=16,color="black",shape="box"];926 -> 947[label="",style="solid", color="black", weight=3]; 928 -> 317[label="",style="dashed", color="red", weight=0]; 928[label="span2Zs ((==) Right vuu18) vuu201",fontsize=16,color="magenta"];928 -> 948[label="",style="dashed", color="magenta", weight=3]; 928 -> 949[label="",style="dashed", color="magenta", weight=3]; 929 -> 311[label="",style="dashed", color="red", weight=0]; 929[label="span2Ys ((==) Right vuu18) vuu201",fontsize=16,color="magenta"];929 -> 950[label="",style="dashed", color="magenta", weight=3]; 927[label="span2Ys0 ((==) Right vuu18) (vuu200 : vuu201) (vuu200 : vuu66,vuu65)",fontsize=16,color="black",shape="triangle"];927 -> 951[label="",style="solid", color="black", weight=3]; 930[label="span2Zs0 ((==) Left vuu27) (vuu290 : vuu291) (span2Span0 ((==) Left vuu27) vuu291 ((==) Left vuu27) vuu290 vuu291 True)",fontsize=16,color="black",shape="box"];930 -> 952[label="",style="solid", color="black", weight=3]; 932 -> 309[label="",style="dashed", color="red", weight=0]; 932[label="span2Ys ((==) Left vuu27) vuu291",fontsize=16,color="magenta"];932 -> 953[label="",style="dashed", color="magenta", weight=3]; 932 -> 954[label="",style="dashed", color="magenta", weight=3]; 933 -> 313[label="",style="dashed", color="red", weight=0]; 933[label="span2Zs ((==) Left vuu27) vuu291",fontsize=16,color="magenta"];933 -> 955[label="",style="dashed", color="magenta", weight=3]; 931[label="span2Zs0 ((==) Left vuu27) (vuu290 : vuu291) (vuu290 : vuu68,vuu67)",fontsize=16,color="black",shape="triangle"];931 -> 956[label="",style="solid", color="black", weight=3]; 934[label="span2Zs0 ((==) Right vuu36) (vuu380 : vuu381) (span2Span0 ((==) Right vuu36) vuu381 ((==) Right vuu36) vuu380 vuu381 True)",fontsize=16,color="black",shape="box"];934 -> 957[label="",style="solid", color="black", weight=3]; 936 -> 311[label="",style="dashed", color="red", weight=0]; 936[label="span2Ys ((==) Right vuu36) vuu381",fontsize=16,color="magenta"];936 -> 958[label="",style="dashed", color="magenta", weight=3]; 936 -> 959[label="",style="dashed", color="magenta", weight=3]; 937 -> 317[label="",style="dashed", color="red", weight=0]; 937[label="span2Zs ((==) Right vuu36) vuu381",fontsize=16,color="magenta"];937 -> 960[label="",style="dashed", color="magenta", weight=3]; 935[label="span2Zs0 ((==) Right vuu36) (vuu380 : vuu381) (vuu380 : vuu70,vuu69)",fontsize=16,color="black",shape="triangle"];935 -> 961[label="",style="solid", color="black", weight=3]; 938 -> 962[label="",style="dashed", color="red", weight=0]; 938[label="primPlusNat (primMulNat vuu300000 (Succ vuu3100100)) (Succ vuu3100100)",fontsize=16,color="magenta"];938 -> 963[label="",style="dashed", color="magenta", weight=3]; 939[label="Zero",fontsize=16,color="green",shape="box"];940[label="Zero",fontsize=16,color="green",shape="box"];941[label="Zero",fontsize=16,color="green",shape="box"];942[label="span2Ys0 ((==) Left vuu9) (vuu110 : vuu111) ([],vuu110 : vuu111)",fontsize=16,color="black",shape="box"];942 -> 964[label="",style="solid", color="black", weight=3]; 943[label="vuu111",fontsize=16,color="green",shape="box"];944[label="vuu111",fontsize=16,color="green",shape="box"];945[label="vuu9",fontsize=16,color="green",shape="box"];946[label="vuu110 : vuu64",fontsize=16,color="green",shape="box"];947[label="span2Ys0 ((==) Right vuu18) (vuu200 : vuu201) ([],vuu200 : vuu201)",fontsize=16,color="black",shape="box"];947 -> 965[label="",style="solid", color="black", weight=3]; 948[label="vuu18",fontsize=16,color="green",shape="box"];949[label="vuu201",fontsize=16,color="green",shape="box"];950[label="vuu201",fontsize=16,color="green",shape="box"];951[label="vuu200 : vuu66",fontsize=16,color="green",shape="box"];952[label="span2Zs0 ((==) Left vuu27) (vuu290 : vuu291) ([],vuu290 : vuu291)",fontsize=16,color="black",shape="box"];952 -> 966[label="",style="solid", color="black", weight=3]; 953[label="vuu291",fontsize=16,color="green",shape="box"];954[label="vuu27",fontsize=16,color="green",shape="box"];955[label="vuu291",fontsize=16,color="green",shape="box"];956[label="vuu67",fontsize=16,color="green",shape="box"];957[label="span2Zs0 ((==) Right vuu36) (vuu380 : vuu381) ([],vuu380 : vuu381)",fontsize=16,color="black",shape="box"];957 -> 967[label="",style="solid", color="black", weight=3]; 958[label="vuu36",fontsize=16,color="green",shape="box"];959[label="vuu381",fontsize=16,color="green",shape="box"];960[label="vuu381",fontsize=16,color="green",shape="box"];961[label="vuu69",fontsize=16,color="green",shape="box"];963 -> 884[label="",style="dashed", color="red", weight=0]; 963[label="primMulNat vuu300000 (Succ vuu3100100)",fontsize=16,color="magenta"];963 -> 968[label="",style="dashed", color="magenta", weight=3]; 963 -> 969[label="",style="dashed", color="magenta", weight=3]; 962[label="primPlusNat vuu71 (Succ vuu3100100)",fontsize=16,color="burlywood",shape="triangle"];1314[label="vuu71/Succ vuu710",fontsize=10,color="white",style="solid",shape="box"];962 -> 1314[label="",style="solid", color="burlywood", weight=9]; 1314 -> 970[label="",style="solid", color="burlywood", weight=3]; 1315[label="vuu71/Zero",fontsize=10,color="white",style="solid",shape="box"];962 -> 1315[label="",style="solid", color="burlywood", weight=9]; 1315 -> 971[label="",style="solid", color="burlywood", weight=3]; 964[label="[]",fontsize=16,color="green",shape="box"];965[label="[]",fontsize=16,color="green",shape="box"];966[label="vuu290 : vuu291",fontsize=16,color="green",shape="box"];967[label="vuu380 : vuu381",fontsize=16,color="green",shape="box"];968[label="Succ vuu3100100",fontsize=16,color="green",shape="box"];969[label="vuu300000",fontsize=16,color="green",shape="box"];970[label="primPlusNat (Succ vuu710) (Succ vuu3100100)",fontsize=16,color="black",shape="box"];970 -> 972[label="",style="solid", color="black", weight=3]; 971[label="primPlusNat Zero (Succ vuu3100100)",fontsize=16,color="black",shape="box"];971 -> 973[label="",style="solid", color="black", weight=3]; 972[label="Succ (Succ (primPlusNat vuu710 vuu3100100))",fontsize=16,color="green",shape="box"];972 -> 974[label="",style="dashed", color="green", weight=3]; 973[label="Succ vuu3100100",fontsize=16,color="green",shape="box"];974[label="primPlusNat vuu710 vuu3100100",fontsize=16,color="burlywood",shape="triangle"];1316[label="vuu710/Succ vuu7100",fontsize=10,color="white",style="solid",shape="box"];974 -> 1316[label="",style="solid", color="burlywood", weight=9]; 1316 -> 975[label="",style="solid", color="burlywood", weight=3]; 1317[label="vuu710/Zero",fontsize=10,color="white",style="solid",shape="box"];974 -> 1317[label="",style="solid", color="burlywood", weight=9]; 1317 -> 976[label="",style="solid", color="burlywood", weight=3]; 975[label="primPlusNat (Succ vuu7100) vuu3100100",fontsize=16,color="burlywood",shape="box"];1318[label="vuu3100100/Succ vuu31001000",fontsize=10,color="white",style="solid",shape="box"];975 -> 1318[label="",style="solid", color="burlywood", weight=9]; 1318 -> 977[label="",style="solid", color="burlywood", weight=3]; 1319[label="vuu3100100/Zero",fontsize=10,color="white",style="solid",shape="box"];975 -> 1319[label="",style="solid", color="burlywood", weight=9]; 1319 -> 978[label="",style="solid", color="burlywood", weight=3]; 976[label="primPlusNat Zero vuu3100100",fontsize=16,color="burlywood",shape="box"];1320[label="vuu3100100/Succ vuu31001000",fontsize=10,color="white",style="solid",shape="box"];976 -> 1320[label="",style="solid", color="burlywood", weight=9]; 1320 -> 979[label="",style="solid", color="burlywood", weight=3]; 1321[label="vuu3100100/Zero",fontsize=10,color="white",style="solid",shape="box"];976 -> 1321[label="",style="solid", color="burlywood", weight=9]; 1321 -> 980[label="",style="solid", color="burlywood", weight=3]; 977[label="primPlusNat (Succ vuu7100) (Succ vuu31001000)",fontsize=16,color="black",shape="box"];977 -> 981[label="",style="solid", color="black", weight=3]; 978[label="primPlusNat (Succ vuu7100) Zero",fontsize=16,color="black",shape="box"];978 -> 982[label="",style="solid", color="black", weight=3]; 979[label="primPlusNat Zero (Succ vuu31001000)",fontsize=16,color="black",shape="box"];979 -> 983[label="",style="solid", color="black", weight=3]; 980[label="primPlusNat Zero Zero",fontsize=16,color="black",shape="box"];980 -> 984[label="",style="solid", color="black", weight=3]; 981[label="Succ (Succ (primPlusNat vuu7100 vuu31001000))",fontsize=16,color="green",shape="box"];981 -> 985[label="",style="dashed", color="green", weight=3]; 982[label="Succ vuu7100",fontsize=16,color="green",shape="box"];983[label="Succ vuu31001000",fontsize=16,color="green",shape="box"];984[label="Zero",fontsize=16,color="green",shape="box"];985 -> 974[label="",style="dashed", color="red", weight=0]; 985[label="primPlusNat vuu7100 vuu31001000",fontsize=16,color="magenta"];985 -> 986[label="",style="dashed", color="magenta", weight=3]; 985 -> 987[label="",style="dashed", color="magenta", weight=3]; 986[label="vuu7100",fontsize=16,color="green",shape="box"];987[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(vuu18, vuu200, vuu201, True, bc, bd) -> new_span2Ys(vuu18, vuu201, bc, bd) new_span2Zs0(vuu36, vuu380, vuu381, True, ba, bb) -> new_span2Zs(vuu36, vuu381, ba, bb) new_span2Zs0(vuu36, vuu380, vuu381, True, ba, bb) -> new_span2Ys(vuu36, vuu381, ba, bb) new_span2Ys0(vuu18, vuu200, vuu201, True, bc, bd) -> new_span2Zs(vuu18, vuu201, bc, bd) new_span2Ys(vuu18, :(vuu200, vuu201), bc, bd) -> new_span2Ys0(vuu18, vuu200, vuu201, new_esEs4(Right(vuu18), vuu200, bc, bd), bc, bd) new_span2Zs(vuu36, :(vuu380, vuu381), ba, bb) -> new_span2Zs0(vuu36, vuu380, vuu381, new_esEs4(Right(vuu36), vuu380, ba, bb), ba, bb) The TRS R consists of the following rules: new_esEs23(vuu3002, vuu31002, ty_Double) -> new_esEs12(vuu3002, vuu31002) new_primEqInt(Pos(Zero), Pos(Zero)) -> True new_esEs7(vuu3000, vuu31000, ty_Char) -> new_esEs18(vuu3000, vuu31000) new_primPlusNat0(Zero, Zero) -> Zero new_esEs4(Left(vuu3000), Left(vuu31000), app(ty_Ratio, hb), fh) -> new_esEs19(vuu3000, vuu31000, hb) new_esEs23(vuu3002, vuu31002, app(app(ty_@2, bfe), bff)) -> new_esEs6(vuu3002, vuu31002, bfe, bff) new_esEs7(vuu3000, vuu31000, ty_Integer) -> new_esEs10(vuu3000, vuu31000) new_esEs7(vuu3000, vuu31000, app(ty_Ratio, da)) -> new_esEs19(vuu3000, vuu31000, da) new_esEs4(Right(vuu3000), Right(vuu31000), hc, ty_Ordering) -> new_esEs13(vuu3000, vuu31000) new_esEs15(Just(vuu3000), Just(vuu31000), app(app(ty_@2, bbd), bbe)) -> new_esEs6(vuu3000, vuu31000, bbd, bbe) new_esEs5(True, True) -> True new_esEs4(Left(vuu3000), Right(vuu31000), hc, fh) -> False new_esEs4(Right(vuu3000), Left(vuu31000), hc, fh) -> False new_esEs21(vuu3000, vuu31000, ty_Int) -> new_esEs14(vuu3000, vuu31000) new_esEs4(Right(vuu3000), Right(vuu31000), hc, ty_Double) -> new_esEs12(vuu3000, vuu31000) new_esEs21(vuu3000, vuu31000, app(app(ty_@2, bda), bdb)) -> new_esEs6(vuu3000, vuu31000, bda, bdb) new_esEs23(vuu3002, vuu31002, ty_Ordering) -> new_esEs13(vuu3002, vuu31002) new_esEs4(Right(vuu3000), Right(vuu31000), hc, app(ty_Ratio, bae)) -> new_esEs19(vuu3000, vuu31000, bae) new_esEs22(vuu3001, vuu31001, app(app(ty_Either, bdf), bdg)) -> new_esEs4(vuu3001, vuu31001, bdf, bdg) new_esEs21(vuu3000, vuu31000, ty_Double) -> new_esEs12(vuu3000, vuu31000) new_esEs7(vuu3000, vuu31000, app(app(app(ty_@3, ca), cb), cc)) -> new_esEs11(vuu3000, vuu31000, ca, cb, cc) new_esEs15(Just(vuu3000), Just(vuu31000), ty_Double) -> new_esEs12(vuu3000, vuu31000) new_esEs22(vuu3001, vuu31001, ty_Float) -> new_esEs17(vuu3001, vuu31001) new_primMulNat0(Succ(vuu300000), Succ(vuu3100100)) -> new_primPlusNat1(new_primMulNat0(vuu300000, Succ(vuu3100100)), vuu3100100) new_esEs16(:(vuu3000, vuu3001), :(vuu31000, vuu31001), ed) -> new_asAs(new_esEs20(vuu3000, vuu31000, ed), new_esEs16(vuu3001, vuu31001, ed)) new_esEs15(Just(vuu3000), Just(vuu31000), ty_Int) -> new_esEs14(vuu3000, vuu31000) new_esEs23(vuu3002, vuu31002, ty_@0) -> new_esEs9(vuu3002, vuu31002) new_esEs19(:%(vuu3000, vuu3001), :%(vuu31000, vuu31001), bgb) -> new_asAs(new_esEs24(vuu3000, vuu31000, bgb), new_esEs25(vuu3001, vuu31001, bgb)) new_asAs(True, vuu58) -> vuu58 new_esEs10(Integer(vuu3000), Integer(vuu31000)) -> new_primEqInt(vuu3000, vuu31000) new_esEs21(vuu3000, vuu31000, app(app(app(ty_@3, bcf), bcg), bch)) -> new_esEs11(vuu3000, vuu31000, bcf, bcg, bch) new_esEs8(vuu3001, vuu31001, ty_Ordering) -> new_esEs13(vuu3001, vuu31001) new_primEqInt(Pos(Succ(vuu30000)), Pos(Zero)) -> False new_primEqInt(Pos(Zero), Pos(Succ(vuu310000))) -> False new_esEs21(vuu3000, vuu31000, ty_Char) -> new_esEs18(vuu3000, vuu31000) new_esEs4(Left(vuu3000), Left(vuu31000), app(app(ty_Either, ga), gb), fh) -> new_esEs4(vuu3000, vuu31000, ga, gb) new_esEs4(Right(vuu3000), Right(vuu31000), hc, app(app(ty_@2, baa), bab)) -> new_esEs6(vuu3000, vuu31000, baa, bab) new_esEs7(vuu3000, vuu31000, ty_Bool) -> new_esEs5(vuu3000, vuu31000) new_esEs15(Just(vuu3000), Just(vuu31000), ty_@0) -> new_esEs9(vuu3000, vuu31000) new_primEqNat0(Succ(vuu30000), Succ(vuu310000)) -> new_primEqNat0(vuu30000, vuu310000) new_esEs21(vuu3000, vuu31000, ty_Ordering) -> new_esEs13(vuu3000, vuu31000) new_esEs6(@2(vuu3000, vuu3001), @2(vuu31000, vuu31001), be, bf) -> new_asAs(new_esEs7(vuu3000, vuu31000, be), new_esEs8(vuu3001, vuu31001, bf)) new_esEs8(vuu3001, vuu31001, app(ty_[], eb)) -> new_esEs16(vuu3001, vuu31001, eb) new_esEs9(@0, @0) -> True new_esEs20(vuu3000, vuu31000, app(app(ty_Either, ee), ef)) -> new_esEs4(vuu3000, vuu31000, ee, ef) new_esEs4(Left(vuu3000), Left(vuu31000), ty_Double, fh) -> new_esEs12(vuu3000, vuu31000) new_esEs15(Nothing, Just(vuu31000), baf) -> False new_esEs15(Just(vuu3000), Nothing, baf) -> False new_primMulNat0(Zero, Zero) -> Zero new_esEs20(vuu3000, vuu31000, app(ty_Maybe, fd)) -> new_esEs15(vuu3000, vuu31000, fd) new_esEs4(Left(vuu3000), Left(vuu31000), ty_Char, fh) -> new_esEs18(vuu3000, vuu31000) new_esEs15(Nothing, Nothing, baf) -> True new_esEs23(vuu3002, vuu31002, app(app(app(ty_@3, bfb), bfc), bfd)) -> new_esEs11(vuu3002, vuu31002, bfb, bfc, bfd) new_esEs22(vuu3001, vuu31001, ty_Integer) -> new_esEs10(vuu3001, vuu31001) new_esEs21(vuu3000, vuu31000, ty_Integer) -> new_esEs10(vuu3000, vuu31000) new_esEs12(Double(vuu3000, vuu3001), Double(vuu31000, vuu31001)) -> new_esEs14(new_sr(vuu3000, vuu31001), new_sr(vuu3001, vuu31000)) new_esEs8(vuu3001, vuu31001, app(app(ty_@2, dg), dh)) -> new_esEs6(vuu3001, vuu31001, dg, dh) new_esEs22(vuu3001, vuu31001, app(ty_Ratio, beg)) -> new_esEs19(vuu3001, vuu31001, beg) new_esEs23(vuu3002, vuu31002, ty_Char) -> new_esEs18(vuu3002, vuu31002) new_esEs7(vuu3000, vuu31000, ty_Double) -> new_esEs12(vuu3000, vuu31000) new_esEs8(vuu3001, vuu31001, ty_Float) -> new_esEs17(vuu3001, vuu31001) new_esEs4(Left(vuu3000), Left(vuu31000), app(app(app(ty_@3, gc), gd), ge), fh) -> new_esEs11(vuu3000, vuu31000, gc, gd, ge) new_esEs4(Right(vuu3000), Right(vuu31000), hc, app(app(app(ty_@3, hf), hg), hh)) -> new_esEs11(vuu3000, vuu31000, hf, hg, hh) new_esEs4(Left(vuu3000), Left(vuu31000), ty_Bool, fh) -> new_esEs5(vuu3000, vuu31000) new_primEqNat0(Succ(vuu30000), Zero) -> False new_primEqNat0(Zero, Succ(vuu310000)) -> False new_esEs18(Char(vuu3000), Char(vuu31000)) -> new_primEqNat0(vuu3000, vuu31000) new_esEs25(vuu3001, vuu31001, ty_Int) -> new_esEs14(vuu3001, vuu31001) new_esEs4(Left(vuu3000), Left(vuu31000), ty_@0, fh) -> new_esEs9(vuu3000, vuu31000) new_esEs4(Right(vuu3000), Right(vuu31000), hc, app(app(ty_Either, hd), he)) -> new_esEs4(vuu3000, vuu31000, hd, he) new_esEs23(vuu3002, vuu31002, ty_Bool) -> new_esEs5(vuu3002, vuu31002) new_esEs7(vuu3000, vuu31000, app(ty_Maybe, cf)) -> new_esEs15(vuu3000, vuu31000, cf) new_esEs13(LT, LT) -> True new_esEs4(Left(vuu3000), Left(vuu31000), app(app(ty_@2, gf), gg), fh) -> new_esEs6(vuu3000, vuu31000, gf, gg) new_esEs4(Right(vuu3000), Right(vuu31000), hc, ty_Bool) -> new_esEs5(vuu3000, vuu31000) new_esEs15(Just(vuu3000), Just(vuu31000), app(ty_[], bbg)) -> new_esEs16(vuu3000, vuu31000, bbg) new_esEs22(vuu3001, vuu31001, ty_Ordering) -> new_esEs13(vuu3001, vuu31001) new_primEqInt(Neg(Succ(vuu30000)), Neg(Zero)) -> False new_primEqInt(Neg(Zero), Neg(Succ(vuu310000))) -> False new_esEs15(Just(vuu3000), Just(vuu31000), app(ty_Maybe, bbf)) -> new_esEs15(vuu3000, vuu31000, bbf) new_esEs14(vuu300, vuu3100) -> new_primEqInt(vuu300, vuu3100) new_primEqInt(Pos(Succ(vuu30000)), Pos(Succ(vuu310000))) -> new_primEqNat0(vuu30000, vuu310000) new_esEs4(Left(vuu3000), Left(vuu31000), ty_Ordering, fh) -> new_esEs13(vuu3000, vuu31000) new_esEs15(Just(vuu3000), Just(vuu31000), ty_Float) -> new_esEs17(vuu3000, vuu31000) new_esEs20(vuu3000, vuu31000, app(ty_[], ff)) -> new_esEs16(vuu3000, vuu31000, ff) new_esEs7(vuu3000, vuu31000, ty_Int) -> new_esEs14(vuu3000, vuu31000) new_sr(Pos(vuu30000), Neg(vuu310010)) -> Neg(new_primMulNat0(vuu30000, vuu310010)) new_sr(Neg(vuu30000), Pos(vuu310010)) -> Neg(new_primMulNat0(vuu30000, vuu310010)) new_esEs7(vuu3000, vuu31000, app(ty_[], cg)) -> new_esEs16(vuu3000, vuu31000, cg) new_esEs4(Right(vuu3000), Right(vuu31000), hc, ty_@0) -> new_esEs9(vuu3000, vuu31000) new_primEqInt(Pos(Succ(vuu30000)), Neg(vuu31000)) -> False new_primEqInt(Neg(Succ(vuu30000)), Pos(vuu31000)) -> False new_esEs22(vuu3001, vuu31001, app(app(app(ty_@3, bdh), bea), beb)) -> new_esEs11(vuu3001, vuu31001, bdh, bea, beb) new_esEs23(vuu3002, vuu31002, app(ty_Ratio, bga)) -> new_esEs19(vuu3002, vuu31002, bga) new_esEs20(vuu3000, vuu31000, ty_Float) -> new_esEs17(vuu3000, vuu31000) new_esEs13(LT, GT) -> False new_esEs13(GT, LT) -> False new_esEs22(vuu3001, vuu31001, ty_Char) -> new_esEs18(vuu3001, vuu31001) new_esEs7(vuu3000, vuu31000, ty_Float) -> new_esEs17(vuu3000, vuu31000) new_esEs8(vuu3001, vuu31001, app(app(app(ty_@3, dd), de), df)) -> new_esEs11(vuu3001, vuu31001, dd, de, df) new_esEs15(Just(vuu3000), Just(vuu31000), app(app(ty_Either, bag), bah)) -> new_esEs4(vuu3000, vuu31000, bag, bah) new_esEs20(vuu3000, vuu31000, ty_Int) -> new_esEs14(vuu3000, vuu31000) new_esEs22(vuu3001, vuu31001, app(app(ty_@2, bec), bed)) -> new_esEs6(vuu3001, vuu31001, bec, bed) new_esEs8(vuu3001, vuu31001, ty_Char) -> new_esEs18(vuu3001, vuu31001) new_esEs22(vuu3001, vuu31001, ty_Double) -> new_esEs12(vuu3001, vuu31001) new_esEs23(vuu3002, vuu31002, ty_Float) -> new_esEs17(vuu3002, vuu31002) new_esEs4(Left(vuu3000), Left(vuu31000), ty_Float, fh) -> new_esEs17(vuu3000, vuu31000) new_sr(Neg(vuu30000), Neg(vuu310010)) -> Pos(new_primMulNat0(vuu30000, vuu310010)) new_esEs21(vuu3000, vuu31000, app(app(ty_Either, bcd), bce)) -> new_esEs4(vuu3000, vuu31000, bcd, bce) new_esEs25(vuu3001, vuu31001, ty_Integer) -> new_esEs10(vuu3001, vuu31001) new_esEs17(Float(vuu3000, vuu3001), Float(vuu31000, vuu31001)) -> new_esEs14(new_sr(vuu3000, vuu31001), new_sr(vuu3001, vuu31000)) new_esEs13(GT, GT) -> True new_esEs4(Right(vuu3000), Right(vuu31000), hc, ty_Float) -> new_esEs17(vuu3000, vuu31000) new_esEs23(vuu3002, vuu31002, app(ty_Maybe, bfg)) -> new_esEs15(vuu3002, vuu31002, bfg) new_primEqInt(Pos(Zero), Neg(Succ(vuu310000))) -> False new_primEqInt(Neg(Zero), Pos(Succ(vuu310000))) -> False new_esEs8(vuu3001, vuu31001, app(ty_Ratio, ec)) -> new_esEs19(vuu3001, vuu31001, ec) new_esEs8(vuu3001, vuu31001, ty_Integer) -> new_esEs10(vuu3001, vuu31001) new_primPlusNat0(Succ(vuu7100), Succ(vuu31001000)) -> Succ(Succ(new_primPlusNat0(vuu7100, vuu31001000))) new_esEs8(vuu3001, vuu31001, ty_Int) -> new_esEs14(vuu3001, vuu31001) new_esEs20(vuu3000, vuu31000, app(app(ty_@2, fb), fc)) -> new_esEs6(vuu3000, vuu31000, fb, fc) new_esEs22(vuu3001, vuu31001, ty_Int) -> new_esEs14(vuu3001, vuu31001) new_esEs5(False, True) -> False new_esEs5(True, False) -> False new_esEs20(vuu3000, vuu31000, app(app(app(ty_@3, eg), eh), fa)) -> new_esEs11(vuu3000, vuu31000, eg, eh, fa) new_primEqInt(Neg(Succ(vuu30000)), Neg(Succ(vuu310000))) -> new_primEqNat0(vuu30000, vuu310000) new_esEs11(@3(vuu3000, vuu3001, vuu3002), @3(vuu31000, vuu31001, vuu31002), bca, bcb, bcc) -> new_asAs(new_esEs21(vuu3000, vuu31000, bca), new_asAs(new_esEs22(vuu3001, vuu31001, bcb), new_esEs23(vuu3002, vuu31002, bcc))) new_esEs21(vuu3000, vuu31000, ty_Float) -> new_esEs17(vuu3000, vuu31000) new_esEs20(vuu3000, vuu31000, ty_Double) -> new_esEs12(vuu3000, vuu31000) new_esEs7(vuu3000, vuu31000, ty_@0) -> new_esEs9(vuu3000, vuu31000) new_esEs23(vuu3002, vuu31002, app(app(ty_Either, beh), bfa)) -> new_esEs4(vuu3002, vuu31002, beh, bfa) new_esEs13(EQ, GT) -> False new_esEs13(GT, EQ) -> False new_esEs22(vuu3001, vuu31001, ty_@0) -> new_esEs9(vuu3001, vuu31001) new_esEs21(vuu3000, vuu31000, app(ty_Maybe, bdc)) -> new_esEs15(vuu3000, vuu31000, bdc) new_esEs4(Right(vuu3000), Right(vuu31000), hc, ty_Char) -> new_esEs18(vuu3000, vuu31000) new_esEs8(vuu3001, vuu31001, app(ty_Maybe, ea)) -> new_esEs15(vuu3001, vuu31001, ea) new_esEs23(vuu3002, vuu31002, ty_Integer) -> new_esEs10(vuu3002, vuu31002) new_primMulNat0(Succ(vuu300000), Zero) -> Zero new_primMulNat0(Zero, Succ(vuu3100100)) -> Zero new_sr(Pos(vuu30000), Pos(vuu310010)) -> Pos(new_primMulNat0(vuu30000, vuu310010)) new_esEs20(vuu3000, vuu31000, ty_Integer) -> new_esEs10(vuu3000, vuu31000) new_esEs4(Left(vuu3000), Left(vuu31000), ty_Integer, fh) -> new_esEs10(vuu3000, vuu31000) new_esEs7(vuu3000, vuu31000, app(app(ty_Either, bg), bh)) -> new_esEs4(vuu3000, vuu31000, bg, bh) new_esEs15(Just(vuu3000), Just(vuu31000), ty_Bool) -> new_esEs5(vuu3000, vuu31000) new_primPlusNat1(Succ(vuu710), vuu3100100) -> Succ(Succ(new_primPlusNat0(vuu710, vuu3100100))) new_esEs21(vuu3000, vuu31000, app(ty_[], bdd)) -> new_esEs16(vuu3000, vuu31000, bdd) new_esEs15(Just(vuu3000), Just(vuu31000), app(ty_Ratio, bbh)) -> new_esEs19(vuu3000, vuu31000, bbh) new_esEs21(vuu3000, vuu31000, ty_Bool) -> new_esEs5(vuu3000, vuu31000) new_esEs20(vuu3000, vuu31000, ty_@0) -> new_esEs9(vuu3000, vuu31000) new_esEs15(Just(vuu3000), Just(vuu31000), ty_Integer) -> new_esEs10(vuu3000, vuu31000) new_primPlusNat0(Succ(vuu7100), Zero) -> Succ(vuu7100) new_primPlusNat0(Zero, Succ(vuu31001000)) -> Succ(vuu31001000) new_primEqInt(Neg(Zero), Neg(Zero)) -> True new_esEs20(vuu3000, vuu31000, ty_Ordering) -> new_esEs13(vuu3000, vuu31000) new_esEs21(vuu3000, vuu31000, app(ty_Ratio, bde)) -> new_esEs19(vuu3000, vuu31000, bde) new_primPlusNat1(Zero, vuu3100100) -> Succ(vuu3100100) new_esEs24(vuu3000, vuu31000, ty_Int) -> new_esEs14(vuu3000, vuu31000) new_esEs20(vuu3000, vuu31000, ty_Bool) -> new_esEs5(vuu3000, vuu31000) new_esEs22(vuu3001, vuu31001, ty_Bool) -> new_esEs5(vuu3001, vuu31001) new_esEs15(Just(vuu3000), Just(vuu31000), app(app(app(ty_@3, bba), bbb), bbc)) -> new_esEs11(vuu3000, vuu31000, bba, bbb, bbc) new_esEs16(:(vuu3000, vuu3001), [], ed) -> False new_esEs16([], :(vuu31000, vuu31001), ed) -> False new_esEs4(Right(vuu3000), Right(vuu31000), hc, ty_Int) -> new_esEs14(vuu3000, vuu31000) new_esEs5(False, False) -> True new_esEs23(vuu3002, vuu31002, app(ty_[], bfh)) -> new_esEs16(vuu3002, vuu31002, bfh) new_primEqInt(Pos(Zero), Neg(Zero)) -> True new_primEqInt(Neg(Zero), Pos(Zero)) -> True new_esEs7(vuu3000, vuu31000, app(app(ty_@2, cd), ce)) -> new_esEs6(vuu3000, vuu31000, cd, ce) new_esEs4(Right(vuu3000), Right(vuu31000), hc, ty_Integer) -> new_esEs10(vuu3000, vuu31000) new_esEs8(vuu3001, vuu31001, ty_Double) -> new_esEs12(vuu3001, vuu31001) new_esEs20(vuu3000, vuu31000, ty_Char) -> new_esEs18(vuu3000, vuu31000) new_esEs4(Left(vuu3000), Left(vuu31000), ty_Int, fh) -> new_esEs14(vuu3000, vuu31000) new_esEs4(Left(vuu3000), Left(vuu31000), app(ty_[], ha), fh) -> new_esEs16(vuu3000, vuu31000, ha) new_esEs22(vuu3001, vuu31001, app(ty_Maybe, bee)) -> new_esEs15(vuu3001, vuu31001, bee) new_esEs24(vuu3000, vuu31000, ty_Integer) -> new_esEs10(vuu3000, vuu31000) new_primEqNat0(Zero, Zero) -> True new_esEs16([], [], ed) -> True new_esEs7(vuu3000, vuu31000, ty_Ordering) -> new_esEs13(vuu3000, vuu31000) new_esEs4(Right(vuu3000), Right(vuu31000), hc, app(ty_Maybe, bac)) -> new_esEs15(vuu3000, vuu31000, bac) new_esEs8(vuu3001, vuu31001, app(app(ty_Either, db), dc)) -> new_esEs4(vuu3001, vuu31001, db, dc) new_esEs13(EQ, EQ) -> True new_esEs15(Just(vuu3000), Just(vuu31000), ty_Ordering) -> new_esEs13(vuu3000, vuu31000) new_esEs22(vuu3001, vuu31001, app(ty_[], bef)) -> new_esEs16(vuu3001, vuu31001, bef) new_asAs(False, vuu58) -> False new_esEs13(LT, EQ) -> False new_esEs13(EQ, LT) -> False new_esEs15(Just(vuu3000), Just(vuu31000), ty_Char) -> new_esEs18(vuu3000, vuu31000) new_esEs4(Left(vuu3000), Left(vuu31000), app(ty_Maybe, gh), fh) -> new_esEs15(vuu3000, vuu31000, gh) new_esEs4(Right(vuu3000), Right(vuu31000), hc, app(ty_[], bad)) -> new_esEs16(vuu3000, vuu31000, bad) new_esEs20(vuu3000, vuu31000, app(ty_Ratio, fg)) -> new_esEs19(vuu3000, vuu31000, fg) new_esEs8(vuu3001, vuu31001, ty_@0) -> new_esEs9(vuu3001, vuu31001) new_esEs8(vuu3001, vuu31001, ty_Bool) -> new_esEs5(vuu3001, vuu31001) new_esEs23(vuu3002, vuu31002, ty_Int) -> new_esEs14(vuu3002, vuu31002) new_esEs21(vuu3000, vuu31000, ty_@0) -> new_esEs9(vuu3000, vuu31000) The set Q consists of the following terms: new_esEs7(x0, x1, ty_Bool) new_esEs8(x0, x1, app(app(ty_@2, x2), x3)) new_esEs4(Left(x0), Left(x1), ty_Integer, x2) new_esEs13(EQ, EQ) new_esEs23(x0, x1, ty_Int) new_esEs16(:(x0, x1), [], x2) new_esEs22(x0, x1, ty_Float) new_esEs22(x0, x1, ty_Double) new_esEs21(x0, x1, app(ty_Ratio, x2)) new_esEs4(Left(x0), Left(x1), app(ty_Maybe, x2), x3) new_esEs15(Just(x0), Just(x1), app(ty_[], x2)) new_esEs4(Right(x0), Right(x1), x2, app(app(app(ty_@3, x3), x4), x5)) new_esEs18(Char(x0), Char(x1)) new_esEs8(x0, x1, ty_Integer) new_esEs22(x0, x1, app(app(ty_@2, x2), x3)) new_primMulNat0(Zero, Zero) new_primEqInt(Neg(Zero), Neg(Succ(x0))) new_esEs24(x0, x1, ty_Integer) new_esEs19(:%(x0, x1), :%(x2, x3), x4) new_esEs23(x0, x1, ty_Char) new_esEs7(x0, x1, ty_@0) new_esEs4(Right(x0), Right(x1), x2, ty_Char) new_esEs16([], :(x0, x1), x2) new_primPlusNat0(Succ(x0), Zero) new_primEqInt(Pos(Zero), Pos(Succ(x0))) new_esEs4(Right(x0), Right(x1), x2, app(ty_Maybe, x3)) new_primEqInt(Pos(Zero), Pos(Zero)) new_esEs15(Just(x0), Just(x1), ty_Double) new_primPlusNat0(Zero, Succ(x0)) new_esEs8(x0, x1, ty_Bool) new_esEs23(x0, x1, app(app(ty_@2, x2), x3)) new_esEs4(Left(x0), Left(x1), ty_Bool, x2) new_esEs15(Just(x0), Just(x1), ty_Float) new_primEqNat0(Zero, Succ(x0)) new_esEs15(Just(x0), Just(x1), ty_Ordering) new_esEs20(x0, x1, ty_Ordering) new_esEs8(x0, x1, app(ty_[], x2)) new_esEs20(x0, x1, ty_Integer) new_esEs13(LT, LT) new_sr(Neg(x0), Neg(x1)) new_esEs22(x0, x1, app(ty_Ratio, x2)) new_primEqInt(Neg(Zero), Neg(Zero)) new_esEs20(x0, x1, ty_Float) new_esEs22(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_primPlusNat0(Zero, Zero) new_esEs23(x0, x1, app(ty_Ratio, x2)) new_esEs7(x0, x1, app(ty_Maybe, x2)) new_esEs25(x0, x1, ty_Integer) new_esEs21(x0, x1, app(app(ty_@2, x2), x3)) new_esEs15(Just(x0), Just(x1), app(app(app(ty_@3, x2), x3), x4)) new_esEs5(False, True) new_esEs5(True, False) new_esEs4(Left(x0), Right(x1), x2, x3) new_esEs4(Right(x0), Left(x1), x2, x3) new_esEs8(x0, x1, app(ty_Ratio, x2)) new_esEs21(x0, x1, ty_Bool) new_esEs4(Left(x0), Left(x1), ty_Double, x2) new_esEs22(x0, x1, ty_Integer) new_esEs5(True, True) new_sr(Pos(x0), Pos(x1)) new_esEs23(x0, x1, ty_Double) new_esEs21(x0, x1, ty_Float) new_esEs8(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs11(@3(x0, x1, x2), @3(x3, x4, x5), x6, x7, x8) new_primEqInt(Pos(Succ(x0)), Pos(Zero)) new_esEs15(Just(x0), Just(x1), app(app(ty_@2, x2), x3)) new_primEqInt(Pos(Zero), Neg(Zero)) new_primEqInt(Neg(Zero), Pos(Zero)) new_esEs23(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs23(x0, x1, ty_Float) new_esEs24(x0, x1, ty_Int) new_esEs21(x0, x1, ty_@0) new_asAs(True, x0) new_primEqInt(Pos(Zero), Neg(Succ(x0))) new_primEqInt(Neg(Zero), Pos(Succ(x0))) new_esEs8(x0, x1, app(ty_Maybe, x2)) new_esEs16([], [], x0) new_esEs7(x0, x1, app(ty_[], x2)) new_esEs21(x0, x1, ty_Double) new_esEs15(Nothing, Nothing, x0) new_esEs4(Right(x0), Right(x1), x2, app(app(ty_Either, x3), x4)) new_esEs4(Left(x0), Left(x1), ty_Float, x2) new_esEs21(x0, x1, ty_Char) new_esEs4(Right(x0), Right(x1), x2, ty_Integer) new_esEs22(x0, x1, ty_Ordering) new_primEqInt(Pos(Succ(x0)), Neg(x1)) new_primEqInt(Neg(Succ(x0)), Pos(x1)) new_primMulNat0(Succ(x0), Zero) new_esEs22(x0, x1, app(ty_[], x2)) new_esEs22(x0, x1, app(app(ty_Either, x2), x3)) new_esEs4(Left(x0), Left(x1), ty_Int, x2) new_esEs10(Integer(x0), Integer(x1)) new_esEs23(x0, x1, ty_@0) new_esEs20(x0, x1, app(ty_Ratio, x2)) new_esEs4(Right(x0), Right(x1), x2, app(ty_Ratio, x3)) new_esEs4(Right(x0), Right(x1), x2, ty_Ordering) new_esEs4(Left(x0), Left(x1), ty_@0, x2) new_esEs21(x0, x1, ty_Int) new_esEs20(x0, x1, app(app(ty_@2, x2), x3)) new_esEs9(@0, @0) new_esEs7(x0, x1, ty_Float) new_esEs22(x0, x1, ty_@0) new_esEs23(x0, x1, app(ty_[], x2)) new_esEs8(x0, x1, ty_Int) new_esEs23(x0, x1, ty_Integer) new_esEs20(x0, x1, app(ty_[], x2)) new_esEs22(x0, x1, ty_Bool) new_esEs12(Double(x0, x1), Double(x2, x3)) new_esEs16(:(x0, x1), :(x2, x3), x4) new_esEs4(Left(x0), Left(x1), ty_Char, x2) new_esEs4(Right(x0), Right(x1), x2, app(app(ty_@2, x3), x4)) new_primMulNat0(Zero, Succ(x0)) new_esEs20(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs13(LT, GT) new_esEs13(GT, LT) new_esEs7(x0, x1, ty_Ordering) new_esEs7(x0, x1, app(app(ty_Either, x2), x3)) new_esEs7(x0, x1, ty_Int) new_esEs8(x0, x1, ty_Ordering) new_esEs15(Just(x0), Just(x1), ty_@0) new_primEqInt(Pos(Succ(x0)), Pos(Succ(x1))) new_esEs7(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs23(x0, x1, app(ty_Maybe, x2)) new_esEs21(x0, x1, app(ty_[], x2)) new_esEs8(x0, x1, app(app(ty_Either, x2), x3)) new_esEs15(Just(x0), Just(x1), ty_Char) new_primPlusNat1(Succ(x0), x1) new_esEs22(x0, x1, app(ty_Maybe, x2)) new_esEs6(@2(x0, x1), @2(x2, x3), x4, x5) new_esEs23(x0, x1, ty_Bool) new_esEs20(x0, x1, ty_@0) new_primEqInt(Neg(Succ(x0)), Neg(Succ(x1))) new_esEs17(Float(x0, x1), Float(x2, x3)) new_esEs7(x0, x1, ty_Char) new_primMulNat0(Succ(x0), Succ(x1)) new_esEs7(x0, x1, app(app(ty_@2, x2), x3)) new_esEs15(Just(x0), Just(x1), ty_Int) new_esEs7(x0, x1, ty_Double) new_esEs8(x0, x1, ty_Double) new_esEs8(x0, x1, ty_Char) new_esEs22(x0, x1, ty_Char) new_primEqNat0(Zero, Zero) new_esEs7(x0, x1, app(ty_Ratio, x2)) new_esEs20(x0, x1, app(ty_Maybe, x2)) new_esEs25(x0, x1, ty_Int) new_primPlusNat0(Succ(x0), Succ(x1)) new_esEs13(EQ, GT) new_esEs13(GT, EQ) new_esEs21(x0, x1, app(ty_Maybe, x2)) new_esEs4(Right(x0), Right(x1), x2, ty_Bool) new_esEs21(x0, x1, ty_Ordering) new_esEs4(Right(x0), Right(x1), x2, app(ty_[], x3)) new_esEs14(x0, x1) new_esEs23(x0, x1, app(app(ty_Either, x2), x3)) new_esEs4(Right(x0), Right(x1), x2, ty_Float) new_primPlusNat1(Zero, x0) new_esEs4(Right(x0), Right(x1), x2, ty_Double) new_esEs4(Left(x0), Left(x1), app(ty_[], x2), x3) new_esEs15(Just(x0), Just(x1), ty_Integer) new_esEs8(x0, x1, ty_@0) new_sr(Pos(x0), Neg(x1)) new_sr(Neg(x0), Pos(x1)) new_primEqInt(Neg(Succ(x0)), Neg(Zero)) new_esEs20(x0, x1, ty_Int) new_esEs20(x0, x1, app(app(ty_Either, x2), x3)) new_esEs21(x0, x1, ty_Integer) new_esEs21(x0, x1, app(app(ty_Either, x2), x3)) new_esEs15(Just(x0), Just(x1), app(ty_Ratio, x2)) new_esEs4(Left(x0), Left(x1), app(ty_Ratio, x2), x3) new_esEs20(x0, x1, ty_Char) new_esEs20(x0, x1, ty_Double) new_esEs15(Nothing, Just(x0), x1) new_asAs(False, x0) new_esEs15(Just(x0), Just(x1), app(app(ty_Either, x2), x3)) new_primEqNat0(Succ(x0), Zero) new_esEs15(Just(x0), Nothing, x1) new_esEs8(x0, x1, ty_Float) new_esEs4(Left(x0), Left(x1), app(app(app(ty_@3, x2), x3), x4), x5) new_esEs4(Right(x0), Right(x1), x2, ty_Int) new_esEs7(x0, x1, ty_Integer) new_esEs15(Just(x0), Just(x1), ty_Bool) new_esEs4(Left(x0), Left(x1), app(app(ty_@2, x2), x3), x4) new_esEs4(Left(x0), Left(x1), app(app(ty_Either, x2), x3), x4) new_esEs13(GT, GT) new_esEs13(LT, EQ) new_esEs13(EQ, LT) new_esEs4(Right(x0), Right(x1), x2, ty_@0) new_primEqNat0(Succ(x0), Succ(x1)) new_esEs22(x0, x1, ty_Int) new_esEs21(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs5(False, False) new_esEs15(Just(x0), Just(x1), app(ty_Maybe, x2)) new_esEs20(x0, x1, ty_Bool) new_esEs4(Left(x0), Left(x1), ty_Ordering, x2) new_esEs23(x0, x1, ty_Ordering) 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_span2Ys(vuu18, :(vuu200, vuu201), bc, bd) -> new_span2Ys0(vuu18, vuu200, vuu201, new_esEs4(Right(vuu18), vuu200, bc, bd), bc, bd) The graph contains the following edges 1 >= 1, 2 > 2, 2 > 3, 3 >= 5, 4 >= 6 *new_span2Zs(vuu36, :(vuu380, vuu381), ba, bb) -> new_span2Zs0(vuu36, vuu380, vuu381, new_esEs4(Right(vuu36), vuu380, ba, bb), ba, bb) The graph contains the following edges 1 >= 1, 2 > 2, 2 > 3, 3 >= 5, 4 >= 6 *new_span2Ys0(vuu18, vuu200, vuu201, True, bc, bd) -> new_span2Ys(vuu18, vuu201, bc, bd) The graph contains the following edges 1 >= 1, 3 >= 2, 5 >= 3, 6 >= 4 *new_span2Ys0(vuu18, vuu200, vuu201, True, bc, bd) -> new_span2Zs(vuu18, vuu201, bc, bd) The graph contains the following edges 1 >= 1, 3 >= 2, 5 >= 3, 6 >= 4 *new_span2Zs0(vuu36, vuu380, vuu381, True, ba, bb) -> new_span2Ys(vuu36, vuu381, ba, bb) The graph contains the following edges 1 >= 1, 3 >= 2, 5 >= 3, 6 >= 4 *new_span2Zs0(vuu36, vuu380, vuu381, True, ba, bb) -> new_span2Zs(vuu36, vuu381, ba, bb) The graph contains the following edges 1 >= 1, 3 >= 2, 5 >= 3, 6 >= 4 ---------------------------------------- (13) YES ---------------------------------------- (14) Obligation: Q DP problem: The TRS P consists of the following rules: new_groupBy(:(vuu30, vuu31), ba, bb) -> new_groupBy(new_groupByZs1(vuu30, vuu31, ba, bb), ba, bb) The TRS R consists of the following rules: new_esEs23(vuu3002, vuu31002, ty_Double) -> new_esEs12(vuu3002, vuu31002) new_primEqInt(Pos(Zero), Pos(Zero)) -> True new_esEs26(vuu300, vuu3100, ty_Integer) -> new_esEs10(vuu300, vuu3100) new_esEs26(vuu300, vuu3100, app(ty_Ratio, eh)) -> new_esEs19(vuu300, vuu3100, eh) new_primPlusNat0(Zero, Zero) -> Zero new_esEs7(vuu3000, vuu31000, ty_Char) -> new_esEs18(vuu3000, vuu31000) new_esEs4(Left(vuu3000), Left(vuu31000), app(ty_Ratio, dd), ca) -> new_esEs19(vuu3000, vuu31000, dd) new_esEs23(vuu3002, vuu31002, app(app(ty_@2, bgd), bge)) -> new_esEs6(vuu3002, vuu31002, bgd, bge) new_esEs7(vuu3000, vuu31000, ty_Integer) -> new_esEs10(vuu3000, vuu31000) new_esEs7(vuu3000, vuu31000, app(ty_Ratio, gg)) -> new_esEs19(vuu3000, vuu31000, gg) new_esEs26(vuu300, vuu3100, ty_Bool) -> new_esEs5(vuu300, vuu3100) new_span2Zs04(vuu27, vuu290, vuu291, False, be, bf) -> :(vuu290, vuu291) new_esEs4(Right(vuu3000), Right(vuu31000), de, ty_Ordering) -> new_esEs13(vuu3000, vuu31000) new_esEs15(Just(vuu3000), Just(vuu31000), app(app(ty_@2, bcc), bcd)) -> new_esEs6(vuu3000, vuu31000, bcc, bcd) new_esEs5(True, True) -> True new_esEs4(Left(vuu3000), Right(vuu31000), de, ca) -> False new_esEs4(Right(vuu3000), Left(vuu31000), de, ca) -> False new_esEs27(vuu300, vuu3100, app(ty_[], caa)) -> new_esEs16(vuu300, vuu3100, caa) new_esEs21(vuu3000, vuu31000, ty_Int) -> new_esEs14(vuu3000, vuu31000) new_esEs4(Right(vuu3000), Right(vuu31000), de, ty_Double) -> new_esEs12(vuu3000, vuu31000) new_esEs21(vuu3000, vuu31000, app(app(ty_@2, bdh), bea)) -> new_esEs6(vuu3000, vuu31000, bdh, bea) new_esEs23(vuu3002, vuu31002, ty_Ordering) -> new_esEs13(vuu3002, vuu31002) new_esEs26(vuu300, vuu3100, app(ty_Maybe, bbe)) -> new_esEs15(vuu300, vuu3100, bbe) new_esEs4(Right(vuu3000), Right(vuu31000), de, app(ty_Ratio, eg)) -> new_esEs19(vuu3000, vuu31000, eg) new_esEs22(vuu3001, vuu31001, app(app(ty_Either, bee), bef)) -> new_esEs4(vuu3001, vuu31001, bee, bef) new_esEs21(vuu3000, vuu31000, ty_Double) -> new_esEs12(vuu3000, vuu31000) new_esEs7(vuu3000, vuu31000, app(app(app(ty_@3, fh), ga), gb)) -> new_esEs11(vuu3000, vuu31000, fh, ga, gb) new_esEs15(Just(vuu3000), Just(vuu31000), ty_Double) -> new_esEs12(vuu3000, vuu31000) new_esEs22(vuu3001, vuu31001, ty_Float) -> new_esEs17(vuu3001, vuu31001) new_primMulNat0(Succ(vuu300000), Succ(vuu3100100)) -> new_primPlusNat1(new_primMulNat0(vuu300000, Succ(vuu3100100)), vuu3100100) new_esEs16(:(vuu3000, vuu3001), :(vuu31000, vuu31001), bab) -> new_asAs(new_esEs20(vuu3000, vuu31000, bab), new_esEs16(vuu3001, vuu31001, bab)) new_esEs15(Just(vuu3000), Just(vuu31000), ty_Int) -> new_esEs14(vuu3000, vuu31000) new_esEs23(vuu3002, vuu31002, ty_@0) -> new_esEs9(vuu3002, vuu31002) new_esEs19(:%(vuu3000, vuu3001), :%(vuu31000, vuu31001), eh) -> new_asAs(new_esEs24(vuu3000, vuu31000, eh), new_esEs25(vuu3001, vuu31001, eh)) new_esEs27(vuu300, vuu3100, ty_Ordering) -> new_esEs13(vuu300, vuu3100) new_asAs(True, vuu58) -> vuu58 new_esEs10(Integer(vuu3000), Integer(vuu31000)) -> new_primEqInt(vuu3000, vuu31000) new_esEs21(vuu3000, vuu31000, app(app(app(ty_@3, bde), bdf), bdg)) -> new_esEs11(vuu3000, vuu31000, bde, bdf, bdg) new_esEs8(vuu3001, vuu31001, ty_Ordering) -> new_esEs13(vuu3001, vuu31001) new_primEqInt(Pos(Succ(vuu30000)), Pos(Zero)) -> False new_primEqInt(Pos(Zero), Pos(Succ(vuu310000))) -> False new_esEs21(vuu3000, vuu31000, ty_Char) -> new_esEs18(vuu3000, vuu31000) new_esEs4(Left(vuu3000), Left(vuu31000), app(app(ty_Either, cb), cc), ca) -> new_esEs4(vuu3000, vuu31000, cb, cc) new_esEs4(Right(vuu3000), Right(vuu31000), de, app(app(ty_@2, ec), ed)) -> new_esEs6(vuu3000, vuu31000, ec, ed) new_esEs26(vuu300, vuu3100, ty_Char) -> new_esEs18(vuu300, vuu3100) new_esEs7(vuu3000, vuu31000, ty_Bool) -> new_esEs5(vuu3000, vuu31000) new_esEs15(Just(vuu3000), Just(vuu31000), ty_@0) -> new_esEs9(vuu3000, vuu31000) new_esEs26(vuu300, vuu3100, app(app(app(ty_@3, bch), bda), bdb)) -> new_esEs11(vuu300, vuu3100, bch, bda, bdb) new_primEqNat0(Succ(vuu30000), Succ(vuu310000)) -> new_primEqNat0(vuu30000, vuu310000) new_esEs21(vuu3000, vuu31000, ty_Ordering) -> new_esEs13(vuu3000, vuu31000) new_esEs6(@2(vuu3000, vuu3001), @2(vuu31000, vuu31001), fc, fd) -> new_asAs(new_esEs7(vuu3000, vuu31000, fc), new_esEs8(vuu3001, vuu31001, fd)) new_span2Ys3(vuu9, :(vuu110, vuu111), fa, fb) -> new_span2Ys02(vuu9, vuu110, vuu111, new_esEs4(Left(vuu9), vuu110, fa, fb), fa, fb) new_esEs8(vuu3001, vuu31001, app(ty_[], hh)) -> new_esEs16(vuu3001, vuu31001, hh) new_esEs9(@0, @0) -> True new_span2Ys03(vuu9, vuu110, vuu111, vuu64, vuu63, fa, fb) -> :(vuu110, vuu64) new_esEs20(vuu3000, vuu31000, app(app(ty_Either, bac), bad)) -> new_esEs4(vuu3000, vuu31000, bac, bad) new_esEs4(Left(vuu3000), Left(vuu31000), ty_Double, ca) -> new_esEs12(vuu3000, vuu31000) new_esEs27(vuu300, vuu3100, app(app(ty_@2, bhf), bhg)) -> new_esEs6(vuu300, vuu3100, bhf, bhg) new_esEs15(Nothing, Just(vuu31000), bbe) -> False new_esEs15(Just(vuu3000), Nothing, bbe) -> False new_span2Zs2(vuu27, :(vuu290, vuu291), be, bf) -> new_span2Zs04(vuu27, vuu290, vuu291, new_esEs4(Left(vuu27), vuu290, be, bf), be, bf) new_primMulNat0(Zero, Zero) -> Zero new_esEs20(vuu3000, vuu31000, app(ty_Maybe, bbb)) -> new_esEs15(vuu3000, vuu31000, bbb) new_esEs4(Left(vuu3000), Left(vuu31000), ty_Char, ca) -> new_esEs18(vuu3000, vuu31000) new_esEs15(Nothing, Nothing, bbe) -> True new_esEs23(vuu3002, vuu31002, app(app(app(ty_@3, bga), bgb), bgc)) -> new_esEs11(vuu3002, vuu31002, bga, bgb, bgc) new_esEs22(vuu3001, vuu31001, ty_Integer) -> new_esEs10(vuu3001, vuu31001) new_esEs21(vuu3000, vuu31000, ty_Integer) -> new_esEs10(vuu3000, vuu31000) new_esEs12(Double(vuu3000, vuu3001), Double(vuu31000, vuu31001)) -> new_esEs14(new_sr(vuu3000, vuu31001), new_sr(vuu3001, vuu31000)) new_esEs8(vuu3001, vuu31001, app(app(ty_@2, he), hf)) -> new_esEs6(vuu3001, vuu31001, he, hf) new_esEs22(vuu3001, vuu31001, app(ty_Ratio, bff)) -> new_esEs19(vuu3001, vuu31001, bff) new_esEs23(vuu3002, vuu31002, ty_Char) -> new_esEs18(vuu3002, vuu31002) new_span2Ys04(vuu18, vuu200, vuu201, vuu66, vuu65, bc, bd) -> :(vuu200, vuu66) new_esEs7(vuu3000, vuu31000, ty_Double) -> new_esEs12(vuu3000, vuu31000) new_esEs8(vuu3001, vuu31001, ty_Float) -> new_esEs17(vuu3001, vuu31001) new_esEs4(Left(vuu3000), Left(vuu31000), app(app(app(ty_@3, cd), ce), cf), ca) -> new_esEs11(vuu3000, vuu31000, cd, ce, cf) new_esEs4(Right(vuu3000), Right(vuu31000), de, app(app(app(ty_@3, dh), ea), eb)) -> new_esEs11(vuu3000, vuu31000, dh, ea, eb) new_esEs4(Left(vuu3000), Left(vuu31000), ty_Bool, ca) -> new_esEs5(vuu3000, vuu31000) new_primEqNat0(Succ(vuu30000), Zero) -> False new_primEqNat0(Zero, Succ(vuu310000)) -> False new_esEs18(Char(vuu3000), Char(vuu31000)) -> new_primEqNat0(vuu3000, vuu31000) new_esEs25(vuu3001, vuu31001, ty_Int) -> new_esEs14(vuu3001, vuu31001) new_esEs4(Left(vuu3000), Left(vuu31000), ty_@0, ca) -> new_esEs9(vuu3000, vuu31000) new_esEs4(Right(vuu3000), Right(vuu31000), de, app(app(ty_Either, df), dg)) -> new_esEs4(vuu3000, vuu31000, df, dg) new_esEs26(vuu300, vuu3100, ty_Float) -> new_esEs17(vuu300, vuu3100) new_esEs23(vuu3002, vuu31002, ty_Bool) -> new_esEs5(vuu3002, vuu31002) new_esEs7(vuu3000, vuu31000, app(ty_Maybe, ge)) -> new_esEs15(vuu3000, vuu31000, ge) new_esEs13(LT, LT) -> True new_esEs4(Left(vuu3000), Left(vuu31000), app(app(ty_@2, cg), da), ca) -> new_esEs6(vuu3000, vuu31000, cg, da) new_esEs4(Right(vuu3000), Right(vuu31000), de, ty_Bool) -> new_esEs5(vuu3000, vuu31000) new_esEs15(Just(vuu3000), Just(vuu31000), app(ty_[], bcf)) -> new_esEs16(vuu3000, vuu31000, bcf) new_esEs22(vuu3001, vuu31001, ty_Ordering) -> new_esEs13(vuu3001, vuu31001) new_groupByZs1(vuu30, [], ba, bb) -> [] new_span2Ys3(vuu9, [], fa, fb) -> [] new_span2Ys01(vuu18, vuu200, vuu201, False, bc, bd) -> [] new_primEqInt(Neg(Succ(vuu30000)), Neg(Zero)) -> False new_primEqInt(Neg(Zero), Neg(Succ(vuu310000))) -> False new_groupByZs1(Right(vuu300), :(Left(vuu3100), vuu311), ba, bb) -> :(Left(vuu3100), vuu311) new_esEs15(Just(vuu3000), Just(vuu31000), app(ty_Maybe, bce)) -> new_esEs15(vuu3000, vuu31000, bce) new_esEs14(vuu300, vuu3100) -> new_primEqInt(vuu300, vuu3100) new_primEqInt(Pos(Succ(vuu30000)), Pos(Succ(vuu310000))) -> new_primEqNat0(vuu30000, vuu310000) new_esEs4(Left(vuu3000), Left(vuu31000), ty_Ordering, ca) -> new_esEs13(vuu3000, vuu31000) new_esEs15(Just(vuu3000), Just(vuu31000), ty_Float) -> new_esEs17(vuu3000, vuu31000) new_esEs26(vuu300, vuu3100, ty_Int) -> new_esEs14(vuu300, vuu3100) new_esEs20(vuu3000, vuu31000, app(ty_[], bbc)) -> new_esEs16(vuu3000, vuu31000, bbc) new_esEs7(vuu3000, vuu31000, ty_Int) -> new_esEs14(vuu3000, vuu31000) new_span2Zs04(vuu27, vuu290, vuu291, True, be, bf) -> new_span2Zs03(vuu27, vuu290, vuu291, new_span2Ys3(vuu27, vuu291, be, bf), new_span2Zs2(vuu27, vuu291, be, bf), be, bf) new_span2Zs03(vuu27, vuu290, vuu291, vuu68, vuu67, be, bf) -> vuu67 new_sr(Pos(vuu30000), Neg(vuu310010)) -> Neg(new_primMulNat0(vuu30000, vuu310010)) new_sr(Neg(vuu30000), Pos(vuu310010)) -> Neg(new_primMulNat0(vuu30000, vuu310010)) new_esEs7(vuu3000, vuu31000, app(ty_[], gf)) -> new_esEs16(vuu3000, vuu31000, gf) new_esEs4(Right(vuu3000), Right(vuu31000), de, ty_@0) -> new_esEs9(vuu3000, vuu31000) new_primEqInt(Pos(Succ(vuu30000)), Neg(vuu31000)) -> False new_primEqInt(Neg(Succ(vuu30000)), Pos(vuu31000)) -> False new_esEs22(vuu3001, vuu31001, app(app(app(ty_@3, beg), beh), bfa)) -> new_esEs11(vuu3001, vuu31001, beg, beh, bfa) new_esEs23(vuu3002, vuu31002, app(ty_Ratio, bgh)) -> new_esEs19(vuu3002, vuu31002, bgh) new_esEs20(vuu3000, vuu31000, ty_Float) -> new_esEs17(vuu3000, vuu31000) new_groupByZs1(Left(vuu300), :(Left(vuu3100), vuu311), ba, bb) -> new_groupByZs10(vuu300, vuu3100, vuu311, new_esEs26(vuu300, vuu3100, ba), ba, bb) new_esEs27(vuu300, vuu3100, ty_Integer) -> new_esEs10(vuu300, vuu3100) new_groupByZs11(vuu36, vuu37, vuu38, False, bg, bh) -> :(Right(vuu37), vuu38) new_esEs13(LT, GT) -> False new_esEs13(GT, LT) -> False new_esEs22(vuu3001, vuu31001, ty_Char) -> new_esEs18(vuu3001, vuu31001) new_esEs7(vuu3000, vuu31000, ty_Float) -> new_esEs17(vuu3000, vuu31000) new_groupByZs11(vuu36, vuu37, vuu38, True, bg, bh) -> new_span2Zs3(vuu36, vuu38, bg, bh) new_esEs27(vuu300, vuu3100, ty_Char) -> new_esEs18(vuu300, vuu3100) new_esEs8(vuu3001, vuu31001, app(app(app(ty_@3, hb), hc), hd)) -> new_esEs11(vuu3001, vuu31001, hb, hc, hd) new_esEs15(Just(vuu3000), Just(vuu31000), app(app(ty_Either, bbf), bbg)) -> new_esEs4(vuu3000, vuu31000, bbf, bbg) new_esEs20(vuu3000, vuu31000, ty_Int) -> new_esEs14(vuu3000, vuu31000) new_esEs22(vuu3001, vuu31001, app(app(ty_@2, bfb), bfc)) -> new_esEs6(vuu3001, vuu31001, bfb, bfc) new_span2Ys2(vuu18, :(vuu200, vuu201), bc, bd) -> new_span2Ys01(vuu18, vuu200, vuu201, new_esEs4(Right(vuu18), vuu200, bc, bd), bc, bd) new_esEs8(vuu3001, vuu31001, ty_Char) -> new_esEs18(vuu3001, vuu31001) new_esEs22(vuu3001, vuu31001, ty_Double) -> new_esEs12(vuu3001, vuu31001) new_esEs27(vuu300, vuu3100, app(app(app(ty_@3, bhc), bhd), bhe)) -> new_esEs11(vuu300, vuu3100, bhc, bhd, bhe) new_esEs23(vuu3002, vuu31002, ty_Float) -> new_esEs17(vuu3002, vuu31002) new_esEs4(Left(vuu3000), Left(vuu31000), ty_Float, ca) -> new_esEs17(vuu3000, vuu31000) new_sr(Neg(vuu30000), Neg(vuu310010)) -> Pos(new_primMulNat0(vuu30000, vuu310010)) new_esEs21(vuu3000, vuu31000, app(app(ty_Either, bdc), bdd)) -> new_esEs4(vuu3000, vuu31000, bdc, bdd) new_esEs25(vuu3001, vuu31001, ty_Integer) -> new_esEs10(vuu3001, vuu31001) new_esEs17(Float(vuu3000, vuu3001), Float(vuu31000, vuu31001)) -> new_esEs14(new_sr(vuu3000, vuu31001), new_sr(vuu3001, vuu31000)) new_esEs26(vuu300, vuu3100, ty_@0) -> new_esEs9(vuu300, vuu3100) new_esEs27(vuu300, vuu3100, ty_Bool) -> new_esEs5(vuu300, vuu3100) new_esEs26(vuu300, vuu3100, ty_Ordering) -> new_esEs13(vuu300, vuu3100) new_esEs13(GT, GT) -> True new_esEs4(Right(vuu3000), Right(vuu31000), de, ty_Float) -> new_esEs17(vuu3000, vuu31000) new_esEs23(vuu3002, vuu31002, app(ty_Maybe, bgf)) -> new_esEs15(vuu3002, vuu31002, bgf) new_span2Ys02(vuu9, vuu110, vuu111, True, fa, fb) -> new_span2Ys03(vuu9, vuu110, vuu111, new_span2Ys3(vuu9, vuu111, fa, fb), new_span2Zs2(vuu9, vuu111, fa, fb), fa, fb) new_primEqInt(Pos(Zero), Neg(Succ(vuu310000))) -> False new_primEqInt(Neg(Zero), Pos(Succ(vuu310000))) -> False new_esEs8(vuu3001, vuu31001, app(ty_Ratio, baa)) -> new_esEs19(vuu3001, vuu31001, baa) new_span2Ys02(vuu9, vuu110, vuu111, False, fa, fb) -> [] new_primPlusNat0(Succ(vuu7100), Succ(vuu31001000)) -> Succ(Succ(new_primPlusNat0(vuu7100, vuu31001000))) new_esEs8(vuu3001, vuu31001, ty_Integer) -> new_esEs10(vuu3001, vuu31001) new_esEs8(vuu3001, vuu31001, ty_Int) -> new_esEs14(vuu3001, vuu31001) new_esEs20(vuu3000, vuu31000, app(app(ty_@2, bah), bba)) -> new_esEs6(vuu3000, vuu31000, bah, bba) new_esEs22(vuu3001, vuu31001, ty_Int) -> new_esEs14(vuu3001, vuu31001) new_span2Zs02(vuu36, vuu380, vuu381, vuu70, vuu69, bg, bh) -> vuu69 new_esEs26(vuu300, vuu3100, app(ty_[], bab)) -> new_esEs16(vuu300, vuu3100, bab) new_esEs5(False, True) -> False new_esEs5(True, False) -> False new_esEs27(vuu300, vuu3100, app(ty_Maybe, bhh)) -> new_esEs15(vuu300, vuu3100, bhh) new_esEs20(vuu3000, vuu31000, app(app(app(ty_@3, bae), baf), bag)) -> new_esEs11(vuu3000, vuu31000, bae, baf, bag) new_primEqInt(Neg(Succ(vuu30000)), Neg(Succ(vuu310000))) -> new_primEqNat0(vuu30000, vuu310000) new_esEs11(@3(vuu3000, vuu3001, vuu3002), @3(vuu31000, vuu31001, vuu31002), bch, bda, bdb) -> new_asAs(new_esEs21(vuu3000, vuu31000, bch), new_asAs(new_esEs22(vuu3001, vuu31001, bda), new_esEs23(vuu3002, vuu31002, bdb))) new_esEs21(vuu3000, vuu31000, ty_Float) -> new_esEs17(vuu3000, vuu31000) new_esEs20(vuu3000, vuu31000, ty_Double) -> new_esEs12(vuu3000, vuu31000) new_span2Zs3(vuu36, :(vuu380, vuu381), bg, bh) -> new_span2Zs01(vuu36, vuu380, vuu381, new_esEs4(Right(vuu36), vuu380, bg, bh), bg, bh) new_esEs7(vuu3000, vuu31000, ty_@0) -> new_esEs9(vuu3000, vuu31000) new_esEs26(vuu300, vuu3100, ty_Double) -> new_esEs12(vuu300, vuu3100) new_esEs23(vuu3002, vuu31002, app(app(ty_Either, bfg), bfh)) -> new_esEs4(vuu3002, vuu31002, bfg, bfh) new_esEs13(EQ, GT) -> False new_esEs13(GT, EQ) -> False new_esEs22(vuu3001, vuu31001, ty_@0) -> new_esEs9(vuu3001, vuu31001) new_esEs21(vuu3000, vuu31000, app(ty_Maybe, beb)) -> new_esEs15(vuu3000, vuu31000, beb) new_esEs4(Right(vuu3000), Right(vuu31000), de, ty_Char) -> new_esEs18(vuu3000, vuu31000) new_esEs26(vuu300, vuu3100, app(app(ty_@2, fc), fd)) -> new_esEs6(vuu300, vuu3100, fc, fd) new_esEs27(vuu300, vuu3100, app(ty_Ratio, cab)) -> new_esEs19(vuu300, vuu3100, cab) new_esEs8(vuu3001, vuu31001, app(ty_Maybe, hg)) -> new_esEs15(vuu3001, vuu31001, hg) new_esEs23(vuu3002, vuu31002, ty_Integer) -> new_esEs10(vuu3002, vuu31002) new_span2Ys2(vuu18, [], bc, bd) -> [] new_primMulNat0(Succ(vuu300000), Zero) -> Zero new_primMulNat0(Zero, Succ(vuu3100100)) -> Zero new_sr(Pos(vuu30000), Pos(vuu310010)) -> Pos(new_primMulNat0(vuu30000, vuu310010)) new_esEs20(vuu3000, vuu31000, ty_Integer) -> new_esEs10(vuu3000, vuu31000) new_esEs4(Left(vuu3000), Left(vuu31000), ty_Integer, ca) -> new_esEs10(vuu3000, vuu31000) new_esEs7(vuu3000, vuu31000, app(app(ty_Either, ff), fg)) -> new_esEs4(vuu3000, vuu31000, ff, fg) new_esEs15(Just(vuu3000), Just(vuu31000), ty_Bool) -> new_esEs5(vuu3000, vuu31000) new_primPlusNat1(Succ(vuu710), vuu3100100) -> Succ(Succ(new_primPlusNat0(vuu710, vuu3100100))) new_esEs21(vuu3000, vuu31000, app(ty_[], bec)) -> new_esEs16(vuu3000, vuu31000, bec) new_span2Zs01(vuu36, vuu380, vuu381, False, bg, bh) -> :(vuu380, vuu381) new_esEs27(vuu300, vuu3100, ty_Int) -> new_esEs14(vuu300, vuu3100) new_esEs15(Just(vuu3000), Just(vuu31000), app(ty_Ratio, bcg)) -> new_esEs19(vuu3000, vuu31000, bcg) new_esEs21(vuu3000, vuu31000, ty_Bool) -> new_esEs5(vuu3000, vuu31000) new_esEs20(vuu3000, vuu31000, ty_@0) -> new_esEs9(vuu3000, vuu31000) new_esEs15(Just(vuu3000), Just(vuu31000), ty_Integer) -> new_esEs10(vuu3000, vuu31000) new_primPlusNat0(Succ(vuu7100), Zero) -> Succ(vuu7100) new_primPlusNat0(Zero, Succ(vuu31001000)) -> Succ(vuu31001000) new_esEs26(vuu300, vuu3100, app(app(ty_Either, de), ca)) -> new_esEs4(vuu300, vuu3100, de, ca) new_primEqInt(Neg(Zero), Neg(Zero)) -> True new_esEs20(vuu3000, vuu31000, ty_Ordering) -> new_esEs13(vuu3000, vuu31000) new_esEs21(vuu3000, vuu31000, app(ty_Ratio, bed)) -> new_esEs19(vuu3000, vuu31000, bed) new_primPlusNat1(Zero, vuu3100100) -> Succ(vuu3100100) new_groupByZs1(Right(vuu300), :(Right(vuu3100), vuu311), ba, bb) -> new_groupByZs11(vuu300, vuu3100, vuu311, new_esEs27(vuu300, vuu3100, bb), ba, bb) new_esEs24(vuu3000, vuu31000, ty_Int) -> new_esEs14(vuu3000, vuu31000) new_esEs20(vuu3000, vuu31000, ty_Bool) -> new_esEs5(vuu3000, vuu31000) new_esEs27(vuu300, vuu3100, ty_Float) -> new_esEs17(vuu300, vuu3100) new_esEs22(vuu3001, vuu31001, ty_Bool) -> new_esEs5(vuu3001, vuu31001) new_esEs15(Just(vuu3000), Just(vuu31000), app(app(app(ty_@3, bbh), bca), bcb)) -> new_esEs11(vuu3000, vuu31000, bbh, bca, bcb) new_esEs16(:(vuu3000, vuu3001), [], bab) -> False new_esEs16([], :(vuu31000, vuu31001), bab) -> False new_esEs4(Right(vuu3000), Right(vuu31000), de, ty_Int) -> new_esEs14(vuu3000, vuu31000) new_esEs5(False, False) -> True new_esEs23(vuu3002, vuu31002, app(ty_[], bgg)) -> new_esEs16(vuu3002, vuu31002, bgg) new_primEqInt(Pos(Zero), Neg(Zero)) -> True new_primEqInt(Neg(Zero), Pos(Zero)) -> True new_esEs7(vuu3000, vuu31000, app(app(ty_@2, gc), gd)) -> new_esEs6(vuu3000, vuu31000, gc, gd) new_esEs4(Right(vuu3000), Right(vuu31000), de, ty_Integer) -> new_esEs10(vuu3000, vuu31000) new_esEs8(vuu3001, vuu31001, ty_Double) -> new_esEs12(vuu3001, vuu31001) new_esEs20(vuu3000, vuu31000, ty_Char) -> new_esEs18(vuu3000, vuu31000) new_esEs4(Left(vuu3000), Left(vuu31000), ty_Int, ca) -> new_esEs14(vuu3000, vuu31000) new_esEs4(Left(vuu3000), Left(vuu31000), app(ty_[], dc), ca) -> new_esEs16(vuu3000, vuu31000, dc) new_esEs27(vuu300, vuu3100, ty_@0) -> new_esEs9(vuu300, vuu3100) new_esEs22(vuu3001, vuu31001, app(ty_Maybe, bfd)) -> new_esEs15(vuu3001, vuu31001, bfd) new_esEs24(vuu3000, vuu31000, ty_Integer) -> new_esEs10(vuu3000, vuu31000) new_primEqNat0(Zero, Zero) -> True new_esEs16([], [], bab) -> True new_esEs7(vuu3000, vuu31000, ty_Ordering) -> new_esEs13(vuu3000, vuu31000) new_groupByZs10(vuu27, vuu28, vuu29, False, be, bf) -> :(Left(vuu28), vuu29) new_esEs4(Right(vuu3000), Right(vuu31000), de, app(ty_Maybe, ee)) -> new_esEs15(vuu3000, vuu31000, ee) new_span2Zs2(vuu27, [], be, bf) -> [] new_groupByZs1(Left(vuu300), :(Right(vuu3100), vuu311), ba, bb) -> :(Right(vuu3100), vuu311) new_span2Zs3(vuu36, [], bg, bh) -> [] new_esEs8(vuu3001, vuu31001, app(app(ty_Either, gh), ha)) -> new_esEs4(vuu3001, vuu31001, gh, ha) new_esEs13(EQ, EQ) -> True new_esEs15(Just(vuu3000), Just(vuu31000), ty_Ordering) -> new_esEs13(vuu3000, vuu31000) new_esEs22(vuu3001, vuu31001, app(ty_[], bfe)) -> new_esEs16(vuu3001, vuu31001, bfe) new_asAs(False, vuu58) -> False new_esEs13(LT, EQ) -> False new_esEs13(EQ, LT) -> False new_span2Ys01(vuu18, vuu200, vuu201, True, bc, bd) -> new_span2Ys04(vuu18, vuu200, vuu201, new_span2Ys2(vuu18, vuu201, bc, bd), new_span2Zs3(vuu18, vuu201, bc, bd), bc, bd) new_groupByZs10(vuu27, vuu28, vuu29, True, be, bf) -> new_span2Zs2(vuu27, vuu29, be, bf) new_esEs15(Just(vuu3000), Just(vuu31000), ty_Char) -> new_esEs18(vuu3000, vuu31000) new_esEs27(vuu300, vuu3100, app(app(ty_Either, bha), bhb)) -> new_esEs4(vuu300, vuu3100, bha, bhb) new_esEs4(Left(vuu3000), Left(vuu31000), app(ty_Maybe, db), ca) -> new_esEs15(vuu3000, vuu31000, db) new_esEs4(Right(vuu3000), Right(vuu31000), de, app(ty_[], ef)) -> new_esEs16(vuu3000, vuu31000, ef) new_span2Zs01(vuu36, vuu380, vuu381, True, bg, bh) -> new_span2Zs02(vuu36, vuu380, vuu381, new_span2Ys2(vuu36, vuu381, bg, bh), new_span2Zs3(vuu36, vuu381, bg, bh), bg, bh) new_esEs20(vuu3000, vuu31000, app(ty_Ratio, bbd)) -> new_esEs19(vuu3000, vuu31000, bbd) new_esEs27(vuu300, vuu3100, ty_Double) -> new_esEs12(vuu300, vuu3100) new_esEs8(vuu3001, vuu31001, ty_@0) -> new_esEs9(vuu3001, vuu31001) new_esEs8(vuu3001, vuu31001, ty_Bool) -> new_esEs5(vuu3001, vuu31001) new_esEs23(vuu3002, vuu31002, ty_Int) -> new_esEs14(vuu3002, vuu31002) new_esEs21(vuu3000, vuu31000, ty_@0) -> new_esEs9(vuu3000, vuu31000) The set Q consists of the following terms: new_esEs7(x0, x1, ty_Bool) new_span2Ys01(x0, x1, x2, True, x3, x4) new_groupByZs1(Left(x0), :(Right(x1), x2), x3, x4) new_esEs21(x0, x1, app(app(ty_@2, x2), x3)) new_esEs21(x0, x1, app(ty_Maybe, x2)) new_esEs13(EQ, EQ) new_esEs23(x0, x1, ty_Int) new_esEs27(x0, x1, ty_Double) new_esEs22(x0, x1, ty_Float) new_esEs22(x0, x1, ty_Double) new_esEs20(x0, x1, app(ty_Ratio, x2)) new_span2Ys2(x0, :(x1, x2), x3, x4) new_esEs21(x0, x1, app(app(ty_Either, x2), x3)) new_esEs26(x0, x1, ty_Ordering) new_esEs18(Char(x0), Char(x1)) new_esEs8(x0, x1, ty_Integer) new_esEs8(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs26(x0, x1, ty_Double) new_esEs4(Left(x0), Left(x1), ty_Int, x2) new_esEs19(:%(x0, x1), :%(x2, x3), x4) new_primMulNat0(Zero, Zero) new_esEs4(Right(x0), Right(x1), x2, app(app(ty_Either, x3), x4)) new_esEs22(x0, x1, app(ty_Maybe, x2)) new_esEs4(Left(x0), Left(x1), ty_Ordering, x2) new_primEqInt(Neg(Zero), Neg(Succ(x0))) new_esEs24(x0, x1, ty_Integer) new_esEs23(x0, x1, ty_Char) new_esEs27(x0, x1, ty_Float) new_groupByZs1(Left(x0), :(Left(x1), x2), x3, x4) new_esEs7(x0, x1, ty_@0) new_primPlusNat0(Succ(x0), Zero) new_esEs4(Left(x0), Left(x1), ty_Char, x2) new_esEs11(@3(x0, x1, x2), @3(x3, x4, x5), x6, x7, x8) new_primEqInt(Pos(Zero), Pos(Succ(x0))) new_primEqInt(Pos(Zero), Pos(Zero)) new_span2Zs3(x0, :(x1, x2), x3, x4) new_esEs15(Just(x0), Just(x1), ty_Double) new_esEs23(x0, x1, app(ty_Maybe, x2)) new_esEs21(x0, x1, app(ty_[], x2)) new_primPlusNat0(Zero, Succ(x0)) new_esEs8(x0, x1, ty_Bool) new_esEs15(Just(x0), Just(x1), ty_Float) new_primEqNat0(Zero, Succ(x0)) new_esEs15(Just(x0), Just(x1), ty_Ordering) new_esEs20(x0, x1, ty_Ordering) new_esEs20(x0, x1, ty_Integer) new_esEs22(x0, x1, app(ty_Ratio, x2)) new_esEs13(LT, LT) new_sr(Neg(x0), Neg(x1)) new_esEs4(Right(x0), Right(x1), x2, ty_Double) new_primEqInt(Neg(Zero), Neg(Zero)) new_esEs20(x0, x1, ty_Float) new_esEs4(Left(x0), Left(x1), ty_Double, x2) new_esEs27(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs4(Right(x0), Right(x1), x2, app(app(ty_@2, x3), x4)) new_esEs4(Left(x0), Left(x1), app(ty_[], x2), x3) new_esEs22(x0, x1, app(app(ty_@2, x2), x3)) new_primPlusNat0(Zero, Zero) new_esEs26(x0, x1, ty_Float) new_span2Ys2(x0, [], x1, x2) new_esEs15(Just(x0), Just(x1), app(app(app(ty_@3, x2), x3), x4)) new_esEs25(x0, x1, ty_Integer) new_esEs27(x0, x1, app(ty_[], x2)) new_esEs15(Just(x0), Just(x1), app(ty_[], x2)) new_esEs21(x0, x1, app(ty_Ratio, x2)) new_esEs4(Left(x0), Left(x1), app(app(ty_@2, x2), x3), x4) new_esEs26(x0, x1, app(ty_[], x2)) new_esEs4(Right(x0), Right(x1), x2, app(ty_Ratio, x3)) new_esEs23(x0, x1, app(ty_[], x2)) new_esEs15(Nothing, Nothing, x0) new_esEs26(x0, x1, ty_Char) new_esEs5(False, True) new_esEs5(True, False) new_groupByZs10(x0, x1, x2, False, x3, x4) new_esEs8(x0, x1, app(ty_[], x2)) new_esEs8(x0, x1, app(app(ty_Either, x2), x3)) new_esEs21(x0, x1, ty_Bool) new_esEs4(Right(x0), Right(x1), x2, ty_Bool) new_span2Zs01(x0, x1, x2, True, x3, x4) new_esEs27(x0, x1, ty_Integer) new_esEs22(x0, x1, ty_Integer) new_esEs5(True, True) new_span2Ys02(x0, x1, x2, True, x3, x4) new_sr(Pos(x0), Pos(x1)) new_esEs26(x0, x1, ty_Int) new_esEs20(x0, x1, app(app(ty_@2, x2), x3)) new_esEs23(x0, x1, ty_Double) new_esEs21(x0, x1, ty_Float) new_span2Zs04(x0, x1, x2, True, x3, x4) new_esEs4(Right(x0), Right(x1), x2, ty_Ordering) new_esEs20(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs7(x0, x1, app(ty_Ratio, x2)) new_primEqInt(Pos(Succ(x0)), Pos(Zero)) new_esEs16([], [], x0) new_primEqInt(Pos(Zero), Neg(Zero)) new_primEqInt(Neg(Zero), Pos(Zero)) new_esEs23(x0, x1, ty_Float) new_esEs24(x0, x1, ty_Int) new_esEs21(x0, x1, ty_@0) new_esEs16(:(x0, x1), :(x2, x3), x4) new_esEs8(x0, x1, app(ty_Ratio, x2)) new_asAs(True, x0) new_primEqInt(Pos(Zero), Neg(Succ(x0))) new_primEqInt(Neg(Zero), Pos(Succ(x0))) new_esEs15(Just(x0), Just(x1), app(app(ty_Either, x2), x3)) new_esEs4(Right(x0), Right(x1), x2, ty_Integer) new_esEs21(x0, x1, ty_Double) new_esEs21(x0, x1, ty_Char) new_esEs4(Left(x0), Left(x1), ty_Integer, x2) new_esEs20(x0, x1, app(app(ty_Either, x2), x3)) new_esEs21(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs22(x0, x1, ty_Ordering) new_primEqInt(Pos(Succ(x0)), Neg(x1)) new_primEqInt(Neg(Succ(x0)), Pos(x1)) new_groupByZs11(x0, x1, x2, True, x3, x4) new_esEs15(Just(x0), Just(x1), app(ty_Maybe, x2)) new_primMulNat0(Succ(x0), Zero) new_esEs27(x0, x1, ty_Ordering) new_esEs10(Integer(x0), Integer(x1)) new_esEs26(x0, x1, ty_Bool) new_esEs23(x0, x1, ty_@0) new_esEs26(x0, x1, app(ty_Ratio, x2)) new_esEs21(x0, x1, ty_Int) new_esEs27(x0, x1, app(app(ty_Either, x2), x3)) new_esEs9(@0, @0) new_esEs7(x0, x1, ty_Float) new_span2Zs2(x0, :(x1, x2), x3, x4) new_esEs22(x0, x1, ty_@0) new_esEs7(x0, x1, app(app(ty_@2, x2), x3)) new_esEs27(x0, x1, ty_@0) new_esEs26(x0, x1, ty_@0) new_esEs8(x0, x1, ty_Int) new_esEs23(x0, x1, ty_Integer) new_span2Zs2(x0, [], x1, x2) new_esEs22(x0, x1, ty_Bool) new_span2Ys01(x0, x1, x2, False, x3, x4) new_esEs12(Double(x0, x1), Double(x2, x3)) new_esEs27(x0, x1, app(ty_Maybe, x2)) new_esEs7(x0, x1, app(app(ty_Either, x2), x3)) new_esEs4(Right(x0), Right(x1), x2, app(ty_Maybe, x3)) new_esEs27(x0, x1, ty_Bool) new_esEs4(Left(x0), Left(x1), ty_Bool, x2) new_esEs23(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_primMulNat0(Zero, Succ(x0)) new_esEs20(x0, x1, app(ty_[], x2)) new_esEs26(x0, x1, app(app(ty_@2, x2), x3)) new_esEs15(Just(x0), Just(x1), app(ty_Ratio, x2)) new_esEs13(LT, GT) new_esEs13(GT, LT) new_esEs23(x0, x1, app(app(ty_@2, x2), x3)) new_esEs7(x0, x1, ty_Ordering) new_esEs23(x0, x1, app(app(ty_Either, x2), x3)) new_groupByZs1(Right(x0), :(Right(x1), x2), x3, x4) new_esEs7(x0, x1, ty_Int) new_esEs4(Left(x0), Left(x1), ty_@0, x2) new_esEs26(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs27(x0, x1, app(ty_Ratio, x2)) new_span2Zs02(x0, x1, x2, x3, x4, x5, x6) new_esEs8(x0, x1, ty_Ordering) new_esEs15(Just(x0), Just(x1), ty_@0) new_esEs4(Right(x0), Right(x1), x2, ty_Char) new_groupByZs1(x0, [], x1, x2) new_esEs4(Right(x0), Right(x1), x2, app(ty_[], x3)) new_primEqInt(Pos(Succ(x0)), Pos(Succ(x1))) new_esEs15(Just(x0), Just(x1), ty_Char) new_primPlusNat1(Succ(x0), x1) new_esEs4(Left(x0), Left(x1), app(app(ty_Either, x2), x3), x4) new_esEs23(x0, x1, ty_Bool) new_esEs20(x0, x1, ty_@0) new_esEs26(x0, x1, app(ty_Maybe, x2)) new_primEqInt(Neg(Succ(x0)), Neg(Succ(x1))) new_span2Ys3(x0, :(x1, x2), x3, x4) new_esEs17(Float(x0, x1), Float(x2, x3)) new_esEs7(x0, x1, ty_Char) new_primMulNat0(Succ(x0), Succ(x1)) new_esEs8(x0, x1, app(app(ty_@2, x2), x3)) new_esEs7(x0, x1, app(ty_Maybe, x2)) new_esEs15(Just(x0), Just(x1), ty_Int) new_esEs7(x0, x1, ty_Double) new_span2Ys04(x0, x1, x2, x3, x4, x5, x6) new_esEs26(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(app(ty_@3, x2), x3), x4)) new_esEs8(x0, x1, ty_Char) new_esEs22(x0, x1, ty_Char) new_primEqNat0(Zero, Zero) new_esEs4(Left(x0), Right(x1), x2, x3) new_esEs4(Right(x0), Left(x1), x2, x3) new_esEs27(x0, x1, ty_Char) new_esEs25(x0, x1, ty_Int) new_groupByZs10(x0, x1, x2, True, x3, x4) new_span2Ys3(x0, [], x1, x2) new_primPlusNat0(Succ(x0), Succ(x1)) new_esEs15(Just(x0), Nothing, x1) new_span2Zs04(x0, x1, x2, False, x3, x4) new_esEs13(EQ, GT) new_esEs13(GT, EQ) new_esEs21(x0, x1, ty_Ordering) new_esEs16(:(x0, x1), [], x2) new_esEs16([], :(x0, x1), x2) new_esEs14(x0, x1) new_esEs7(x0, x1, app(ty_[], x2)) new_esEs6(@2(x0, x1), @2(x2, x3), x4, x5) new_primPlusNat1(Zero, x0) new_esEs15(Just(x0), Just(x1), ty_Integer) new_esEs4(Right(x0), Right(x1), x2, ty_Int) new_esEs8(x0, x1, ty_@0) new_sr(Pos(x0), Neg(x1)) new_sr(Neg(x0), Pos(x1)) new_span2Ys02(x0, x1, x2, False, x3, x4) new_primEqInt(Neg(Succ(x0)), Neg(Zero)) new_span2Zs03(x0, x1, x2, x3, x4, x5, x6) new_groupByZs11(x0, x1, x2, False, x3, x4) new_esEs20(x0, x1, ty_Int) new_esEs22(x0, x1, app(app(ty_Either, x2), x3)) new_esEs21(x0, x1, ty_Integer) new_esEs15(Just(x0), Just(x1), app(app(ty_@2, x2), x3)) new_esEs4(Left(x0), Left(x1), app(app(app(ty_@3, x2), x3), x4), x5) new_esEs8(x0, x1, app(ty_Maybe, x2)) new_esEs4(Right(x0), Right(x1), x2, ty_@0) new_esEs4(Right(x0), Right(x1), x2, app(app(app(ty_@3, x3), x4), x5)) new_esEs20(x0, x1, ty_Char) new_esEs20(x0, x1, ty_Double) new_asAs(False, x0) new_esEs23(x0, x1, app(ty_Ratio, x2)) new_primEqNat0(Succ(x0), Zero) new_esEs8(x0, x1, ty_Float) new_span2Ys03(x0, x1, x2, x3, x4, x5, x6) new_esEs22(x0, x1, app(ty_[], x2)) new_esEs4(Left(x0), Left(x1), ty_Float, x2) new_esEs4(Left(x0), Left(x1), app(ty_Ratio, x2), x3) new_esEs7(x0, x1, ty_Integer) new_esEs4(Right(x0), Right(x1), x2, ty_Float) new_span2Zs3(x0, [], x1, x2) new_esEs15(Just(x0), Just(x1), ty_Bool) new_esEs15(Nothing, Just(x0), x1) new_esEs20(x0, x1, app(ty_Maybe, x2)) new_span2Zs01(x0, x1, x2, False, x3, x4) new_esEs4(Left(x0), Left(x1), app(ty_Maybe, x2), x3) new_groupByZs1(Right(x0), :(Left(x1), x2), x3, x4) new_esEs13(GT, GT) new_esEs13(LT, EQ) new_esEs13(EQ, LT) new_esEs27(x0, x1, app(app(ty_@2, x2), x3)) new_esEs7(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_primEqNat0(Succ(x0), Succ(x1)) new_esEs22(x0, x1, ty_Int) new_esEs27(x0, x1, ty_Int) new_esEs5(False, False) new_esEs20(x0, x1, ty_Bool) new_esEs23(x0, x1, ty_Ordering) We have to consider all minimal (P,Q,R)-chains. ---------------------------------------- (15) 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 POL(Nothing) = 0 POL(Pos(x_1)) = 1 POL(Right(x_1)) = x_1 POL(Succ(x_1)) = 1 POL(True) = 1 POL(Zero) = 0 POL([]) = 0 POL(app(x_1, x_2)) = 1 + x_1 POL(new_asAs(x_1, x_2)) = x_2 POL(new_esEs10(x_1, x_2)) = 1 POL(new_esEs11(x_1, x_2, x_3, x_4, x_5)) = 1 POL(new_esEs12(x_1, x_2)) = 1 POL(new_esEs13(x_1, x_2)) = 1 POL(new_esEs14(x_1, x_2)) = 1 POL(new_esEs15(x_1, x_2, x_3)) = 1 POL(new_esEs16(x_1, x_2, x_3)) = 1 POL(new_esEs17(x_1, x_2)) = 1 POL(new_esEs18(x_1, x_2)) = 1 POL(new_esEs19(x_1, x_2, x_3)) = 1 POL(new_esEs20(x_1, x_2, x_3)) = 1 + x_1 + x_2 + x_3 POL(new_esEs21(x_1, x_2, x_3)) = 1 + x_2 POL(new_esEs22(x_1, x_2, x_3)) = x_1 + x_2 + x_3 POL(new_esEs23(x_1, x_2, x_3)) = 1 POL(new_esEs24(x_1, x_2, x_3)) = 0 POL(new_esEs25(x_1, x_2, x_3)) = 1 POL(new_esEs26(x_1, x_2, x_3)) = x_3 POL(new_esEs27(x_1, x_2, x_3)) = x_3 POL(new_esEs4(x_1, x_2, x_3, x_4)) = 1 POL(new_esEs5(x_1, x_2)) = 1 POL(new_esEs6(x_1, x_2, x_3, x_4)) = 1 POL(new_esEs7(x_1, x_2, x_3)) = 1 + x_1 + x_2 + x_3 POL(new_esEs8(x_1, x_2, x_3)) = 1 POL(new_esEs9(x_1, x_2)) = 1 POL(new_groupByZs1(x_1, x_2, x_3, x_4)) = x_2 POL(new_groupByZs10(x_1, x_2, x_3, x_4, x_5, x_6)) = 1 + x_3 POL(new_groupByZs11(x_1, x_2, x_3, x_4, x_5, x_6)) = 1 + x_3 POL(new_primEqInt(x_1, x_2)) = 1 POL(new_primEqNat0(x_1, x_2)) = 1 POL(new_primMulNat0(x_1, x_2)) = 1 + x_2 POL(new_primPlusNat0(x_1, x_2)) = 1 + x_2 POL(new_primPlusNat1(x_1, x_2)) = 1 POL(new_span2Ys01(x_1, x_2, x_3, x_4, x_5, x_6)) = 1 + x_3 + x_4 + x_5 POL(new_span2Ys02(x_1, x_2, x_3, x_4, x_5, x_6)) = x_3 + x_4 + x_5 + x_6 POL(new_span2Ys03(x_1, x_2, x_3, x_4, x_5, x_6, x_7)) = 1 + x_4 POL(new_span2Ys04(x_1, x_2, x_3, x_4, x_5, x_6, x_7)) = 1 + x_4 POL(new_span2Ys2(x_1, x_2, x_3, x_4)) = 1 + x_2 + x_3 POL(new_span2Ys3(x_1, x_2, x_3, x_4)) = x_2 + x_3 + x_4 POL(new_span2Zs01(x_1, x_2, x_3, x_4, x_5, x_6)) = 1 + x_3 POL(new_span2Zs02(x_1, x_2, x_3, x_4, x_5, x_6, x_7)) = x_5 POL(new_span2Zs03(x_1, x_2, x_3, x_4, x_5, x_6, x_7)) = x_5 POL(new_span2Zs04(x_1, x_2, x_3, x_4, x_5, x_6)) = 1 + x_3 + x_4 POL(new_span2Zs2(x_1, x_2, x_3, x_4)) = 1 + x_2 POL(new_span2Zs3(x_1, x_2, x_3, x_4)) = x_2 POL(new_sr(x_1, x_2)) = 1 + x_1 POL(ty_@0) = 0 POL(ty_@2) = 1 POL(ty_@3) = 1 POL(ty_Bool) = 1 POL(ty_Char) = 0 POL(ty_Double) = 0 POL(ty_Either) = 0 POL(ty_Float) = 0 POL(ty_Int) = 0 POL(ty_Integer) = 0 POL(ty_Maybe) = 0 POL(ty_Ordering) = 0 POL(ty_Ratio) = 0 POL(ty_[]) = 0 From the DPs we obtained the following set of size-change graphs: *new_groupBy(:(vuu30, vuu31), ba, bb) -> new_groupBy(new_groupByZs1(vuu30, vuu31, ba, bb), ba, bb) (allowed arguments on rhs = {1, 2, 3}) The graph contains the following edges 1 > 1, 2 >= 2, 3 >= 3 We oriented the following set of usable rules [AAECC05,FROCOS05]. new_span2Zs3(vuu36, [], bg, bh) -> [] new_span2Zs3(vuu36, :(vuu380, vuu381), bg, bh) -> new_span2Zs01(vuu36, vuu380, vuu381, new_esEs4(Right(vuu36), vuu380, bg, bh), bg, bh) new_span2Zs2(vuu27, [], be, bf) -> [] new_span2Zs2(vuu27, :(vuu290, vuu291), be, bf) -> new_span2Zs04(vuu27, vuu290, vuu291, new_esEs4(Left(vuu27), vuu290, be, bf), be, bf) new_span2Zs04(vuu27, vuu290, vuu291, True, be, bf) -> new_span2Zs03(vuu27, vuu290, vuu291, new_span2Ys3(vuu27, vuu291, be, bf), new_span2Zs2(vuu27, vuu291, be, bf), be, bf) new_span2Zs04(vuu27, vuu290, vuu291, False, be, bf) -> :(vuu290, vuu291) new_span2Zs03(vuu27, vuu290, vuu291, vuu68, vuu67, be, bf) -> vuu67 new_span2Zs02(vuu36, vuu380, vuu381, vuu70, vuu69, bg, bh) -> vuu69 new_span2Zs01(vuu36, vuu380, vuu381, True, bg, bh) -> new_span2Zs02(vuu36, vuu380, vuu381, new_span2Ys2(vuu36, vuu381, bg, bh), new_span2Zs3(vuu36, vuu381, bg, bh), bg, bh) new_span2Zs01(vuu36, vuu380, vuu381, False, bg, bh) -> :(vuu380, vuu381) new_span2Ys3(vuu9, [], fa, fb) -> [] new_span2Ys3(vuu9, :(vuu110, vuu111), fa, fb) -> new_span2Ys02(vuu9, vuu110, vuu111, new_esEs4(Left(vuu9), vuu110, fa, fb), fa, fb) new_span2Ys2(vuu18, [], bc, bd) -> [] new_span2Ys2(vuu18, :(vuu200, vuu201), bc, bd) -> new_span2Ys01(vuu18, vuu200, vuu201, new_esEs4(Right(vuu18), vuu200, bc, bd), bc, bd) new_span2Ys04(vuu18, vuu200, vuu201, vuu66, vuu65, bc, bd) -> :(vuu200, vuu66) new_span2Ys03(vuu9, vuu110, vuu111, vuu64, vuu63, fa, fb) -> :(vuu110, vuu64) new_span2Ys02(vuu9, vuu110, vuu111, True, fa, fb) -> new_span2Ys03(vuu9, vuu110, vuu111, new_span2Ys3(vuu9, vuu111, fa, fb), new_span2Zs2(vuu9, vuu111, fa, fb), fa, fb) new_span2Ys02(vuu9, vuu110, vuu111, False, fa, fb) -> [] new_span2Ys01(vuu18, vuu200, vuu201, True, bc, bd) -> new_span2Ys04(vuu18, vuu200, vuu201, new_span2Ys2(vuu18, vuu201, bc, bd), new_span2Zs3(vuu18, vuu201, bc, bd), bc, bd) new_span2Ys01(vuu18, vuu200, vuu201, False, bc, bd) -> [] new_primEqNat0(Zero, Zero) -> True new_primEqNat0(Zero, Succ(vuu310000)) -> False new_primEqNat0(Succ(vuu30000), Zero) -> False new_primEqNat0(Succ(vuu30000), Succ(vuu310000)) -> new_primEqNat0(vuu30000, vuu310000) new_primEqInt(Pos(Zero), Pos(Zero)) -> True new_primEqInt(Pos(Zero), Pos(Succ(vuu310000))) -> False new_primEqInt(Pos(Zero), Neg(Zero)) -> True new_primEqInt(Pos(Zero), Neg(Succ(vuu310000))) -> False new_primEqInt(Pos(Succ(vuu30000)), Pos(Zero)) -> False new_primEqInt(Pos(Succ(vuu30000)), Pos(Succ(vuu310000))) -> new_primEqNat0(vuu30000, vuu310000) new_primEqInt(Pos(Succ(vuu30000)), Neg(vuu31000)) -> False new_primEqInt(Neg(Zero), Pos(Zero)) -> True new_primEqInt(Neg(Zero), Pos(Succ(vuu310000))) -> False new_primEqInt(Neg(Zero), Neg(Zero)) -> True new_primEqInt(Neg(Zero), Neg(Succ(vuu310000))) -> False new_primEqInt(Neg(Succ(vuu30000)), Pos(vuu31000)) -> False new_primEqInt(Neg(Succ(vuu30000)), Neg(Zero)) -> False new_primEqInt(Neg(Succ(vuu30000)), Neg(Succ(vuu310000))) -> new_primEqNat0(vuu30000, vuu310000) new_groupByZs11(vuu36, vuu37, vuu38, True, bg, bh) -> new_span2Zs3(vuu36, vuu38, bg, bh) new_groupByZs11(vuu36, vuu37, vuu38, False, bg, bh) -> :(Right(vuu37), vuu38) new_groupByZs10(vuu27, vuu28, vuu29, True, be, bf) -> new_span2Zs2(vuu27, vuu29, be, bf) new_groupByZs10(vuu27, vuu28, vuu29, False, be, bf) -> :(Left(vuu28), vuu29) new_groupByZs1(vuu30, [], ba, bb) -> [] new_groupByZs1(Right(vuu300), :(Right(vuu3100), vuu311), ba, bb) -> new_groupByZs11(vuu300, vuu3100, vuu311, new_esEs27(vuu300, vuu3100, bb), ba, bb) new_groupByZs1(Right(vuu300), :(Left(vuu3100), vuu311), ba, bb) -> :(Left(vuu3100), vuu311) new_groupByZs1(Left(vuu300), :(Right(vuu3100), vuu311), ba, bb) -> :(Right(vuu3100), vuu311) new_groupByZs1(Left(vuu300), :(Left(vuu3100), vuu311), ba, bb) -> new_groupByZs10(vuu300, vuu3100, vuu311, new_esEs26(vuu300, vuu3100, ba), ba, bb) new_esEs9(@0, @0) -> True new_esEs8(vuu3001, vuu31001, ty_Ordering) -> new_esEs13(vuu3001, vuu31001) new_esEs8(vuu3001, vuu31001, ty_Integer) -> new_esEs10(vuu3001, vuu31001) new_esEs8(vuu3001, vuu31001, ty_Int) -> new_esEs14(vuu3001, vuu31001) new_esEs8(vuu3001, vuu31001, ty_Float) -> new_esEs17(vuu3001, vuu31001) new_esEs8(vuu3001, vuu31001, ty_Double) -> new_esEs12(vuu3001, vuu31001) new_esEs8(vuu3001, vuu31001, ty_Char) -> new_esEs18(vuu3001, vuu31001) new_esEs8(vuu3001, vuu31001, ty_Bool) -> new_esEs5(vuu3001, vuu31001) new_esEs8(vuu3001, vuu31001, ty_@0) -> new_esEs9(vuu3001, vuu31001) new_esEs8(vuu3001, vuu31001, app(ty_[], hh)) -> new_esEs16(vuu3001, vuu31001, hh) new_esEs8(vuu3001, vuu31001, app(ty_Ratio, baa)) -> new_esEs19(vuu3001, vuu31001, baa) new_esEs8(vuu3001, vuu31001, app(ty_Maybe, hg)) -> new_esEs15(vuu3001, vuu31001, hg) new_esEs8(vuu3001, vuu31001, app(app(ty_Either, gh), ha)) -> new_esEs4(vuu3001, vuu31001, gh, ha) new_esEs8(vuu3001, vuu31001, app(app(ty_@2, he), hf)) -> new_esEs6(vuu3001, vuu31001, he, hf) new_esEs8(vuu3001, vuu31001, app(app(app(ty_@3, hb), hc), hd)) -> new_esEs11(vuu3001, vuu31001, hb, hc, hd) new_esEs7(vuu3000, vuu31000, app(ty_[], gf)) -> new_esEs16(vuu3000, vuu31000, gf) new_esEs7(vuu3000, vuu31000, app(ty_Maybe, ge)) -> new_esEs15(vuu3000, vuu31000, ge) new_esEs7(vuu3000, vuu31000, app(app(ty_Either, ff), fg)) -> new_esEs4(vuu3000, vuu31000, ff, fg) new_esEs7(vuu3000, vuu31000, app(app(ty_@2, gc), gd)) -> new_esEs6(vuu3000, vuu31000, gc, gd) new_esEs7(vuu3000, vuu31000, app(app(app(ty_@3, fh), ga), gb)) -> new_esEs11(vuu3000, vuu31000, fh, ga, gb) new_esEs6(@2(vuu3000, vuu3001), @2(vuu31000, vuu31001), fc, fd) -> new_asAs(new_esEs7(vuu3000, vuu31000, fc), new_esEs8(vuu3001, vuu31001, fd)) new_esEs5(True, True) -> True new_esEs5(True, False) -> False new_esEs5(False, True) -> False new_esEs5(False, False) -> True new_esEs4(Right(vuu3000), Right(vuu31000), de, ty_Ordering) -> new_esEs13(vuu3000, vuu31000) new_esEs4(Right(vuu3000), Right(vuu31000), de, ty_Integer) -> new_esEs10(vuu3000, vuu31000) new_esEs4(Right(vuu3000), Right(vuu31000), de, ty_Int) -> new_esEs14(vuu3000, vuu31000) new_esEs4(Right(vuu3000), Right(vuu31000), de, ty_Float) -> new_esEs17(vuu3000, vuu31000) new_esEs4(Right(vuu3000), Right(vuu31000), de, ty_Double) -> new_esEs12(vuu3000, vuu31000) new_esEs4(Right(vuu3000), Right(vuu31000), de, ty_Char) -> new_esEs18(vuu3000, vuu31000) new_esEs4(Right(vuu3000), Right(vuu31000), de, ty_Bool) -> new_esEs5(vuu3000, vuu31000) new_esEs4(Right(vuu3000), Right(vuu31000), de, ty_@0) -> new_esEs9(vuu3000, vuu31000) new_esEs4(Right(vuu3000), Right(vuu31000), de, app(ty_[], ef)) -> new_esEs16(vuu3000, vuu31000, ef) new_esEs4(Right(vuu3000), Right(vuu31000), de, app(ty_Ratio, eg)) -> new_esEs19(vuu3000, vuu31000, eg) new_esEs4(Right(vuu3000), Right(vuu31000), de, app(ty_Maybe, ee)) -> new_esEs15(vuu3000, vuu31000, ee) new_esEs4(Right(vuu3000), Right(vuu31000), de, app(app(ty_Either, df), dg)) -> new_esEs4(vuu3000, vuu31000, df, dg) new_esEs4(Right(vuu3000), Right(vuu31000), de, app(app(ty_@2, ec), ed)) -> new_esEs6(vuu3000, vuu31000, ec, ed) new_esEs4(Right(vuu3000), Right(vuu31000), de, app(app(app(ty_@3, dh), ea), eb)) -> new_esEs11(vuu3000, vuu31000, dh, ea, eb) new_esEs4(Right(vuu3000), Left(vuu31000), de, ca) -> False new_esEs4(Left(vuu3000), Right(vuu31000), de, ca) -> False new_esEs4(Left(vuu3000), Left(vuu31000), ty_Ordering, ca) -> new_esEs13(vuu3000, vuu31000) new_esEs4(Left(vuu3000), Left(vuu31000), ty_Integer, ca) -> new_esEs10(vuu3000, vuu31000) new_esEs4(Left(vuu3000), Left(vuu31000), ty_Int, ca) -> new_esEs14(vuu3000, vuu31000) new_esEs4(Left(vuu3000), Left(vuu31000), ty_Float, ca) -> new_esEs17(vuu3000, vuu31000) new_esEs4(Left(vuu3000), Left(vuu31000), ty_Double, ca) -> new_esEs12(vuu3000, vuu31000) new_esEs4(Left(vuu3000), Left(vuu31000), ty_Char, ca) -> new_esEs18(vuu3000, vuu31000) new_esEs4(Left(vuu3000), Left(vuu31000), ty_Bool, ca) -> new_esEs5(vuu3000, vuu31000) new_esEs4(Left(vuu3000), Left(vuu31000), ty_@0, ca) -> new_esEs9(vuu3000, vuu31000) new_esEs4(Left(vuu3000), Left(vuu31000), app(ty_[], dc), ca) -> new_esEs16(vuu3000, vuu31000, dc) new_esEs4(Left(vuu3000), Left(vuu31000), app(ty_Ratio, dd), ca) -> new_esEs19(vuu3000, vuu31000, dd) new_esEs4(Left(vuu3000), Left(vuu31000), app(ty_Maybe, db), ca) -> new_esEs15(vuu3000, vuu31000, db) new_esEs4(Left(vuu3000), Left(vuu31000), app(app(ty_Either, cb), cc), ca) -> new_esEs4(vuu3000, vuu31000, cb, cc) new_esEs4(Left(vuu3000), Left(vuu31000), app(app(ty_@2, cg), da), ca) -> new_esEs6(vuu3000, vuu31000, cg, da) new_esEs4(Left(vuu3000), Left(vuu31000), app(app(app(ty_@3, cd), ce), cf), ca) -> new_esEs11(vuu3000, vuu31000, cd, ce, cf) new_esEs25(vuu3001, vuu31001, ty_Integer) -> new_esEs10(vuu3001, vuu31001) new_esEs25(vuu3001, vuu31001, ty_Int) -> new_esEs14(vuu3001, vuu31001) new_esEs23(vuu3002, vuu31002, ty_Ordering) -> new_esEs13(vuu3002, vuu31002) new_esEs23(vuu3002, vuu31002, ty_Integer) -> new_esEs10(vuu3002, vuu31002) new_esEs23(vuu3002, vuu31002, ty_Int) -> new_esEs14(vuu3002, vuu31002) new_esEs23(vuu3002, vuu31002, ty_Float) -> new_esEs17(vuu3002, vuu31002) new_esEs23(vuu3002, vuu31002, ty_Double) -> new_esEs12(vuu3002, vuu31002) new_esEs23(vuu3002, vuu31002, ty_Char) -> new_esEs18(vuu3002, vuu31002) new_esEs23(vuu3002, vuu31002, ty_Bool) -> new_esEs5(vuu3002, vuu31002) new_esEs23(vuu3002, vuu31002, ty_@0) -> new_esEs9(vuu3002, vuu31002) new_esEs23(vuu3002, vuu31002, app(ty_[], bgg)) -> new_esEs16(vuu3002, vuu31002, bgg) new_esEs23(vuu3002, vuu31002, app(ty_Ratio, bgh)) -> new_esEs19(vuu3002, vuu31002, bgh) new_esEs23(vuu3002, vuu31002, app(ty_Maybe, bgf)) -> new_esEs15(vuu3002, vuu31002, bgf) new_esEs23(vuu3002, vuu31002, app(app(ty_Either, bfg), bfh)) -> new_esEs4(vuu3002, vuu31002, bfg, bfh) new_esEs23(vuu3002, vuu31002, app(app(ty_@2, bgd), bge)) -> new_esEs6(vuu3002, vuu31002, bgd, bge) new_esEs23(vuu3002, vuu31002, app(app(app(ty_@3, bga), bgb), bgc)) -> new_esEs11(vuu3002, vuu31002, bga, bgb, bgc) new_esEs22(vuu3001, vuu31001, app(ty_[], bfe)) -> new_esEs16(vuu3001, vuu31001, bfe) new_esEs22(vuu3001, vuu31001, app(ty_Maybe, bfd)) -> new_esEs15(vuu3001, vuu31001, bfd) new_esEs22(vuu3001, vuu31001, app(app(ty_Either, bee), bef)) -> new_esEs4(vuu3001, vuu31001, bee, bef) new_esEs22(vuu3001, vuu31001, app(app(ty_@2, bfb), bfc)) -> new_esEs6(vuu3001, vuu31001, bfb, bfc) new_esEs22(vuu3001, vuu31001, app(app(app(ty_@3, beg), beh), bfa)) -> new_esEs11(vuu3001, vuu31001, beg, beh, bfa) new_esEs21(vuu3000, vuu31000, app(ty_[], bec)) -> new_esEs16(vuu3000, vuu31000, bec) new_esEs21(vuu3000, vuu31000, app(ty_Maybe, beb)) -> new_esEs15(vuu3000, vuu31000, beb) new_esEs21(vuu3000, vuu31000, app(app(ty_Either, bdc), bdd)) -> new_esEs4(vuu3000, vuu31000, bdc, bdd) new_esEs21(vuu3000, vuu31000, app(app(ty_@2, bdh), bea)) -> new_esEs6(vuu3000, vuu31000, bdh, bea) new_esEs21(vuu3000, vuu31000, app(app(app(ty_@3, bde), bdf), bdg)) -> new_esEs11(vuu3000, vuu31000, bde, bdf, bdg) new_esEs20(vuu3000, vuu31000, app(ty_[], bbc)) -> new_esEs16(vuu3000, vuu31000, bbc) new_esEs20(vuu3000, vuu31000, app(ty_Maybe, bbb)) -> new_esEs15(vuu3000, vuu31000, bbb) new_esEs20(vuu3000, vuu31000, app(app(ty_Either, bac), bad)) -> new_esEs4(vuu3000, vuu31000, bac, bad) new_esEs20(vuu3000, vuu31000, app(app(ty_@2, bah), bba)) -> new_esEs6(vuu3000, vuu31000, bah, bba) new_esEs20(vuu3000, vuu31000, app(app(app(ty_@3, bae), baf), bag)) -> new_esEs11(vuu3000, vuu31000, bae, baf, bag) new_esEs19(:%(vuu3000, vuu3001), :%(vuu31000, vuu31001), eh) -> new_asAs(new_esEs24(vuu3000, vuu31000, eh), new_esEs25(vuu3001, vuu31001, eh)) new_esEs18(Char(vuu3000), Char(vuu31000)) -> new_primEqNat0(vuu3000, vuu31000) new_esEs17(Float(vuu3000, vuu3001), Float(vuu31000, vuu31001)) -> new_esEs14(new_sr(vuu3000, vuu31001), new_sr(vuu3001, vuu31000)) new_esEs16([], [], bab) -> True new_esEs16([], :(vuu31000, vuu31001), bab) -> False new_esEs16(:(vuu3000, vuu3001), [], bab) -> False new_esEs16(:(vuu3000, vuu3001), :(vuu31000, vuu31001), bab) -> new_asAs(new_esEs20(vuu3000, vuu31000, bab), new_esEs16(vuu3001, vuu31001, bab)) new_esEs15(Nothing, Nothing, bbe) -> True new_esEs15(Nothing, Just(vuu31000), bbe) -> False new_esEs15(Just(vuu3000), Nothing, bbe) -> False new_esEs15(Just(vuu3000), Just(vuu31000), ty_Ordering) -> new_esEs13(vuu3000, vuu31000) new_esEs15(Just(vuu3000), Just(vuu31000), ty_Integer) -> new_esEs10(vuu3000, vuu31000) new_esEs15(Just(vuu3000), Just(vuu31000), ty_Int) -> new_esEs14(vuu3000, vuu31000) new_esEs15(Just(vuu3000), Just(vuu31000), ty_Float) -> new_esEs17(vuu3000, vuu31000) new_esEs15(Just(vuu3000), Just(vuu31000), ty_Double) -> new_esEs12(vuu3000, vuu31000) new_esEs15(Just(vuu3000), Just(vuu31000), ty_Char) -> new_esEs18(vuu3000, vuu31000) new_esEs15(Just(vuu3000), Just(vuu31000), ty_Bool) -> new_esEs5(vuu3000, vuu31000) new_esEs15(Just(vuu3000), Just(vuu31000), ty_@0) -> new_esEs9(vuu3000, vuu31000) new_esEs15(Just(vuu3000), Just(vuu31000), app(ty_[], bcf)) -> new_esEs16(vuu3000, vuu31000, bcf) new_esEs15(Just(vuu3000), Just(vuu31000), app(ty_Ratio, bcg)) -> new_esEs19(vuu3000, vuu31000, bcg) new_esEs15(Just(vuu3000), Just(vuu31000), app(ty_Maybe, bce)) -> new_esEs15(vuu3000, vuu31000, bce) new_esEs15(Just(vuu3000), Just(vuu31000), app(app(ty_Either, bbf), bbg)) -> new_esEs4(vuu3000, vuu31000, bbf, bbg) new_esEs15(Just(vuu3000), Just(vuu31000), app(app(ty_@2, bcc), bcd)) -> new_esEs6(vuu3000, vuu31000, bcc, bcd) new_esEs15(Just(vuu3000), Just(vuu31000), app(app(app(ty_@3, bbh), bca), bcb)) -> new_esEs11(vuu3000, vuu31000, bbh, bca, bcb) new_esEs14(vuu300, vuu3100) -> new_primEqInt(vuu300, vuu3100) new_esEs13(LT, LT) -> True new_esEs13(LT, GT) -> False new_esEs13(LT, EQ) -> False new_esEs13(GT, LT) -> False new_esEs13(GT, GT) -> True new_esEs13(GT, EQ) -> False new_esEs13(EQ, LT) -> False new_esEs13(EQ, GT) -> False new_esEs13(EQ, EQ) -> True new_esEs12(Double(vuu3000, vuu3001), Double(vuu31000, vuu31001)) -> new_esEs14(new_sr(vuu3000, vuu31001), new_sr(vuu3001, vuu31000)) new_esEs11(@3(vuu3000, vuu3001, vuu3002), @3(vuu31000, vuu31001, vuu31002), bch, bda, bdb) -> new_asAs(new_esEs21(vuu3000, vuu31000, bch), new_asAs(new_esEs22(vuu3001, vuu31001, bda), new_esEs23(vuu3002, vuu31002, bdb))) new_esEs10(Integer(vuu3000), Integer(vuu31000)) -> new_primEqInt(vuu3000, vuu31000) new_asAs(True, vuu58) -> vuu58 new_asAs(False, vuu58) -> False ---------------------------------------- (16) YES ---------------------------------------- (17) Obligation: Q DP problem: The TRS P consists of the following rules: new_esEs(Left(vuu3000), Left(vuu31000), app(app(app(ty_@3, bd), be), bf), bc) -> new_esEs0(vuu3000, vuu31000, bd, be, bf) new_esEs2(Just(vuu3000), Just(vuu31000), app(app(ty_@2, bcf), bcg)) -> new_esEs1(vuu3000, vuu31000, bcf, bcg) new_esEs0(@3(vuu3000, vuu3001, vuu3002), @3(vuu31000, vuu31001, vuu31002), fa, app(ty_Maybe, gb), ea) -> new_esEs2(vuu3001, vuu31001, gb) new_esEs(Right(vuu3000), Right(vuu31000), cc, app(app(app(ty_@3, cf), cg), da)) -> new_esEs0(vuu3000, vuu31000, cf, cg, da) new_esEs0(@3(vuu3000, vuu3001, vuu3002), @3(vuu31000, vuu31001, vuu31002), app(ty_Maybe, eg), dh, ea) -> new_esEs2(vuu3000, vuu31000, eg) new_esEs3(:(vuu3000, vuu3001), :(vuu31000, vuu31001), app(app(ty_Either, bdb), bdc)) -> new_esEs(vuu3000, vuu31000, bdb, bdc) new_esEs0(@3(vuu3000, vuu3001, vuu3002), @3(vuu31000, vuu31001, vuu31002), fa, dh, app(app(ty_@2, ha), hb)) -> new_esEs1(vuu3002, vuu31002, ha, hb) new_esEs(Right(vuu3000), Right(vuu31000), cc, app(app(ty_@2, db), dc)) -> new_esEs1(vuu3000, vuu31000, db, dc) new_esEs0(@3(vuu3000, vuu3001, vuu3002), @3(vuu31000, vuu31001, vuu31002), app(app(ty_Either, df), dg), dh, ea) -> new_esEs(vuu3000, vuu31000, df, dg) new_esEs(Left(vuu3000), Left(vuu31000), app(ty_Maybe, ca), bc) -> new_esEs2(vuu3000, vuu31000, ca) new_esEs0(@3(vuu3000, vuu3001, vuu3002), @3(vuu31000, vuu31001, vuu31002), fa, app(app(app(ty_@3, fd), ff), fg), ea) -> new_esEs0(vuu3001, vuu31001, fd, ff, fg) new_esEs0(@3(vuu3000, vuu3001, vuu3002), @3(vuu31000, vuu31001, vuu31002), fa, app(app(ty_@2, fh), ga), ea) -> new_esEs1(vuu3001, vuu31001, fh, ga) new_esEs3(:(vuu3000, vuu3001), :(vuu31000, vuu31001), app(ty_Maybe, bea)) -> new_esEs2(vuu3000, vuu31000, bea) new_esEs3(:(vuu3000, vuu3001), :(vuu31000, vuu31001), app(ty_[], beb)) -> new_esEs3(vuu3000, vuu31000, beb) new_esEs2(Just(vuu3000), Just(vuu31000), app(ty_Maybe, bch)) -> new_esEs2(vuu3000, vuu31000, bch) new_esEs0(@3(vuu3000, vuu3001, vuu3002), @3(vuu31000, vuu31001, vuu31002), fa, dh, app(app(ty_Either, gd), ge)) -> new_esEs(vuu3002, vuu31002, gd, ge) new_esEs1(@2(vuu3000, vuu3001), @2(vuu31000, vuu31001), bag, app(app(ty_Either, bah), bba)) -> new_esEs(vuu3001, vuu31001, bah, bba) new_esEs1(@2(vuu3000, vuu3001), @2(vuu31000, vuu31001), app(app(app(ty_@3, hh), baa), bab), hg) -> new_esEs0(vuu3000, vuu31000, hh, baa, bab) new_esEs(Left(vuu3000), Left(vuu31000), app(app(ty_@2, bg), bh), bc) -> new_esEs1(vuu3000, vuu31000, bg, bh) new_esEs0(@3(vuu3000, vuu3001, vuu3002), @3(vuu31000, vuu31001, vuu31002), fa, dh, app(ty_[], hd)) -> new_esEs3(vuu3002, vuu31002, hd) new_esEs1(@2(vuu3000, vuu3001), @2(vuu31000, vuu31001), app(ty_[], baf), hg) -> new_esEs3(vuu3000, vuu31000, baf) new_esEs1(@2(vuu3000, vuu3001), @2(vuu31000, vuu31001), bag, app(ty_Maybe, bbg)) -> new_esEs2(vuu3001, vuu31001, bbg) new_esEs2(Just(vuu3000), Just(vuu31000), app(ty_[], bda)) -> new_esEs3(vuu3000, vuu31000, bda) new_esEs0(@3(vuu3000, vuu3001, vuu3002), @3(vuu31000, vuu31001, vuu31002), fa, dh, app(app(app(ty_@3, gf), gg), gh)) -> new_esEs0(vuu3002, vuu31002, gf, gg, gh) new_esEs3(:(vuu3000, vuu3001), :(vuu31000, vuu31001), app(app(ty_@2, bdg), bdh)) -> new_esEs1(vuu3000, vuu31000, bdg, bdh) new_esEs(Right(vuu3000), Right(vuu31000), cc, app(app(ty_Either, cd), ce)) -> new_esEs(vuu3000, vuu31000, cd, ce) new_esEs0(@3(vuu3000, vuu3001, vuu3002), @3(vuu31000, vuu31001, vuu31002), fa, dh, app(ty_Maybe, hc)) -> new_esEs2(vuu3002, vuu31002, hc) new_esEs1(@2(vuu3000, vuu3001), @2(vuu31000, vuu31001), bag, app(ty_[], bbh)) -> new_esEs3(vuu3001, vuu31001, bbh) new_esEs1(@2(vuu3000, vuu3001), @2(vuu31000, vuu31001), app(ty_Maybe, bae), hg) -> new_esEs2(vuu3000, vuu31000, bae) new_esEs1(@2(vuu3000, vuu3001), @2(vuu31000, vuu31001), bag, app(app(app(ty_@3, bbb), bbc), bbd)) -> new_esEs0(vuu3001, vuu31001, bbb, bbc, bbd) new_esEs0(@3(vuu3000, vuu3001, vuu3002), @3(vuu31000, vuu31001, vuu31002), fa, app(app(ty_Either, fb), fc), ea) -> new_esEs(vuu3001, vuu31001, fb, fc) new_esEs3(:(vuu3000, vuu3001), :(vuu31000, vuu31001), bec) -> new_esEs3(vuu3001, vuu31001, bec) new_esEs(Right(vuu3000), Right(vuu31000), cc, app(ty_[], de)) -> new_esEs3(vuu3000, vuu31000, de) new_esEs0(@3(vuu3000, vuu3001, vuu3002), @3(vuu31000, vuu31001, vuu31002), fa, app(ty_[], gc), ea) -> new_esEs3(vuu3001, vuu31001, gc) new_esEs(Left(vuu3000), Left(vuu31000), app(app(ty_Either, ba), bb), bc) -> new_esEs(vuu3000, vuu31000, ba, bb) new_esEs3(:(vuu3000, vuu3001), :(vuu31000, vuu31001), 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), app(ty_[], eh), dh, ea) -> new_esEs3(vuu3000, vuu31000, eh) new_esEs1(@2(vuu3000, vuu3001), @2(vuu31000, vuu31001), app(app(ty_@2, bac), bad), hg) -> new_esEs1(vuu3000, vuu31000, bac, bad) new_esEs(Right(vuu3000), Right(vuu31000), cc, app(ty_Maybe, dd)) -> new_esEs2(vuu3000, vuu31000, dd) new_esEs2(Just(vuu3000), Just(vuu31000), app(app(ty_Either, bca), bcb)) -> new_esEs(vuu3000, vuu31000, bca, bcb) new_esEs1(@2(vuu3000, vuu3001), @2(vuu31000, vuu31001), app(app(ty_Either, he), hf), hg) -> new_esEs(vuu3000, vuu31000, he, hf) new_esEs1(@2(vuu3000, vuu3001), @2(vuu31000, vuu31001), bag, app(app(ty_@2, bbe), bbf)) -> new_esEs1(vuu3001, vuu31001, bbe, bbf) new_esEs2(Just(vuu3000), Just(vuu31000), app(app(app(ty_@3, bcc), bcd), bce)) -> new_esEs0(vuu3000, vuu31000, bcc, bcd, bce) new_esEs0(@3(vuu3000, vuu3001, vuu3002), @3(vuu31000, vuu31001, vuu31002), app(app(app(ty_@3, eb), ec), ed), dh, ea) -> new_esEs0(vuu3000, vuu31000, eb, ec, ed) new_esEs0(@3(vuu3000, vuu3001, vuu3002), @3(vuu31000, vuu31001, vuu31002), app(app(ty_@2, ee), ef), dh, ea) -> new_esEs1(vuu3000, vuu31000, ee, ef) new_esEs(Left(vuu3000), Left(vuu31000), app(ty_[], cb), bc) -> new_esEs3(vuu3000, vuu31000, cb) R is empty. Q is empty. We have to consider all minimal (P,Q,R)-chains. ---------------------------------------- (18) 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_esEs2(Just(vuu3000), Just(vuu31000), app(app(ty_Either, bca), bcb)) -> new_esEs(vuu3000, vuu31000, bca, bcb) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs2(Just(vuu3000), Just(vuu31000), app(ty_Maybe, bch)) -> new_esEs2(vuu3000, vuu31000, bch) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs2(Just(vuu3000), Just(vuu31000), app(app(app(ty_@3, bcc), bcd), bce)) -> new_esEs0(vuu3000, vuu31000, bcc, bcd, bce) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 *new_esEs3(:(vuu3000, vuu3001), :(vuu31000, vuu31001), app(app(ty_Either, bdb), bdc)) -> new_esEs(vuu3000, vuu31000, bdb, bdc) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs3(:(vuu3000, vuu3001), :(vuu31000, vuu31001), app(ty_Maybe, bea)) -> new_esEs2(vuu3000, vuu31000, bea) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs2(Just(vuu3000), Just(vuu31000), app(ty_[], bda)) -> new_esEs3(vuu3000, vuu31000, bda) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs2(Just(vuu3000), Just(vuu31000), app(app(ty_@2, bcf), bcg)) -> new_esEs1(vuu3000, vuu31000, bcf, bcg) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs3(:(vuu3000, vuu3001), :(vuu31000, vuu31001), 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(:(vuu3000, vuu3001), :(vuu31000, vuu31001), app(app(ty_@2, bdg), bdh)) -> new_esEs1(vuu3000, vuu31000, bdg, bdh) 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(app(ty_Either, df), dg), dh, ea) -> new_esEs(vuu3000, vuu31000, df, dg) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs0(@3(vuu3000, vuu3001, vuu3002), @3(vuu31000, vuu31001, vuu31002), fa, dh, app(app(ty_Either, gd), ge)) -> new_esEs(vuu3002, vuu31002, gd, ge) The graph contains the following edges 1 > 1, 2 > 2, 5 > 3, 5 > 4 *new_esEs0(@3(vuu3000, vuu3001, vuu3002), @3(vuu31000, vuu31001, vuu31002), fa, app(app(ty_Either, fb), fc), ea) -> new_esEs(vuu3001, vuu31001, fb, fc) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 *new_esEs0(@3(vuu3000, vuu3001, vuu3002), @3(vuu31000, vuu31001, vuu31002), fa, app(ty_Maybe, gb), ea) -> new_esEs2(vuu3001, vuu31001, gb) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 *new_esEs0(@3(vuu3000, vuu3001, vuu3002), @3(vuu31000, vuu31001, vuu31002), app(ty_Maybe, eg), dh, ea) -> new_esEs2(vuu3000, vuu31000, eg) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs0(@3(vuu3000, vuu3001, vuu3002), @3(vuu31000, vuu31001, vuu31002), fa, dh, app(ty_Maybe, hc)) -> new_esEs2(vuu3002, vuu31002, hc) The graph contains the following edges 1 > 1, 2 > 2, 5 > 3 *new_esEs0(@3(vuu3000, vuu3001, vuu3002), @3(vuu31000, vuu31001, vuu31002), fa, app(app(app(ty_@3, fd), ff), fg), ea) -> new_esEs0(vuu3001, vuu31001, fd, ff, fg) 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), fa, dh, app(app(app(ty_@3, gf), gg), gh)) -> new_esEs0(vuu3002, vuu31002, gf, gg, gh) 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, eb), ec), ed), dh, ea) -> new_esEs0(vuu3000, vuu31000, eb, ec, ed) 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), fa, dh, app(ty_[], hd)) -> new_esEs3(vuu3002, vuu31002, hd) The graph contains the following edges 1 > 1, 2 > 2, 5 > 3 *new_esEs0(@3(vuu3000, vuu3001, vuu3002), @3(vuu31000, vuu31001, vuu31002), fa, app(ty_[], gc), ea) -> new_esEs3(vuu3001, vuu31001, gc) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 *new_esEs0(@3(vuu3000, vuu3001, vuu3002), @3(vuu31000, vuu31001, vuu31002), app(ty_[], eh), dh, ea) -> new_esEs3(vuu3000, vuu31000, eh) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs0(@3(vuu3000, vuu3001, vuu3002), @3(vuu31000, vuu31001, vuu31002), fa, dh, app(app(ty_@2, ha), hb)) -> new_esEs1(vuu3002, vuu31002, ha, hb) The graph contains the following edges 1 > 1, 2 > 2, 5 > 3, 5 > 4 *new_esEs0(@3(vuu3000, vuu3001, vuu3002), @3(vuu31000, vuu31001, vuu31002), fa, app(app(ty_@2, fh), ga), ea) -> new_esEs1(vuu3001, vuu31001, fh, ga) 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, ee), ef), dh, ea) -> new_esEs1(vuu3000, vuu31000, ee, ef) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs1(@2(vuu3000, vuu3001), @2(vuu31000, vuu31001), bag, app(app(ty_Either, bah), bba)) -> new_esEs(vuu3001, vuu31001, bah, bba) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 *new_esEs1(@2(vuu3000, vuu3001), @2(vuu31000, vuu31001), app(app(ty_Either, he), hf), hg) -> new_esEs(vuu3000, vuu31000, he, hf) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs(Right(vuu3000), Right(vuu31000), cc, app(app(ty_Either, cd), ce)) -> new_esEs(vuu3000, vuu31000, cd, ce) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 *new_esEs(Left(vuu3000), Left(vuu31000), app(app(ty_Either, ba), bb), bc) -> new_esEs(vuu3000, vuu31000, ba, bb) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs1(@2(vuu3000, vuu3001), @2(vuu31000, vuu31001), bag, app(ty_Maybe, bbg)) -> new_esEs2(vuu3001, vuu31001, bbg) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 *new_esEs1(@2(vuu3000, vuu3001), @2(vuu31000, vuu31001), app(ty_Maybe, bae), hg) -> new_esEs2(vuu3000, vuu31000, bae) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs1(@2(vuu3000, vuu3001), @2(vuu31000, vuu31001), app(app(app(ty_@3, hh), baa), bab), hg) -> new_esEs0(vuu3000, vuu31000, hh, baa, bab) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 *new_esEs1(@2(vuu3000, vuu3001), @2(vuu31000, vuu31001), bag, app(app(app(ty_@3, bbb), bbc), bbd)) -> new_esEs0(vuu3001, vuu31001, bbb, bbc, bbd) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4, 4 > 5 *new_esEs1(@2(vuu3000, vuu3001), @2(vuu31000, vuu31001), app(ty_[], baf), hg) -> new_esEs3(vuu3000, vuu31000, baf) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs1(@2(vuu3000, vuu3001), @2(vuu31000, vuu31001), bag, app(ty_[], bbh)) -> new_esEs3(vuu3001, vuu31001, bbh) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 *new_esEs1(@2(vuu3000, vuu3001), @2(vuu31000, vuu31001), app(app(ty_@2, bac), bad), hg) -> new_esEs1(vuu3000, vuu31000, bac, bad) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs1(@2(vuu3000, vuu3001), @2(vuu31000, vuu31001), bag, app(app(ty_@2, bbe), bbf)) -> new_esEs1(vuu3001, vuu31001, bbe, bbf) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 *new_esEs(Left(vuu3000), Left(vuu31000), app(ty_Maybe, ca), bc) -> new_esEs2(vuu3000, vuu31000, ca) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs(Right(vuu3000), Right(vuu31000), cc, app(ty_Maybe, dd)) -> new_esEs2(vuu3000, vuu31000, dd) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 *new_esEs(Left(vuu3000), Left(vuu31000), app(app(app(ty_@3, bd), be), bf), bc) -> new_esEs0(vuu3000, vuu31000, bd, be, bf) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 *new_esEs(Right(vuu3000), Right(vuu31000), cc, app(app(app(ty_@3, cf), cg), da)) -> new_esEs0(vuu3000, vuu31000, cf, cg, da) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4, 4 > 5 *new_esEs(Right(vuu3000), Right(vuu31000), cc, app(ty_[], de)) -> new_esEs3(vuu3000, vuu31000, de) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 *new_esEs(Left(vuu3000), Left(vuu31000), app(ty_[], cb), bc) -> new_esEs3(vuu3000, vuu31000, cb) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs(Right(vuu3000), Right(vuu31000), cc, app(app(ty_@2, db), dc)) -> new_esEs1(vuu3000, vuu31000, db, dc) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 *new_esEs(Left(vuu3000), Left(vuu31000), app(app(ty_@2, bg), bh), bc) -> new_esEs1(vuu3000, vuu31000, bg, bh) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs3(:(vuu3000, vuu3001), :(vuu31000, vuu31001), app(ty_[], beb)) -> new_esEs3(vuu3000, vuu31000, beb) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs3(:(vuu3000, vuu3001), :(vuu31000, vuu31001), bec) -> new_esEs3(vuu3001, vuu31001, bec) The graph contains the following edges 1 > 1, 2 > 2, 3 >= 3 ---------------------------------------- (19) YES ---------------------------------------- (20) Obligation: Q DP problem: The TRS P consists of the following rules: new_span2Zs00(vuu27, vuu290, vuu291, True, bc, bd) -> new_span2Zs1(vuu27, vuu291, bc, bd) new_span2Ys00(vuu9, vuu110, vuu111, True, ba, bb) -> new_span2Zs1(vuu9, vuu111, ba, bb) new_span2Ys1(vuu9, :(vuu110, vuu111), ba, bb) -> new_span2Ys00(vuu9, vuu110, vuu111, new_esEs4(Left(vuu9), vuu110, ba, bb), ba, bb) new_span2Zs00(vuu27, vuu290, vuu291, True, bc, bd) -> new_span2Ys1(vuu27, vuu291, bc, bd) new_span2Ys00(vuu9, vuu110, vuu111, True, ba, bb) -> new_span2Ys1(vuu9, vuu111, ba, bb) new_span2Zs1(vuu27, :(vuu290, vuu291), bc, bd) -> new_span2Zs00(vuu27, vuu290, vuu291, new_esEs4(Left(vuu27), vuu290, bc, bd), bc, bd) The TRS R consists of the following rules: new_esEs23(vuu3002, vuu31002, ty_Double) -> new_esEs12(vuu3002, vuu31002) new_primEqInt(Pos(Zero), Pos(Zero)) -> True new_esEs7(vuu3000, vuu31000, ty_Char) -> new_esEs18(vuu3000, vuu31000) new_primPlusNat0(Zero, Zero) -> Zero new_esEs4(Left(vuu3000), Left(vuu31000), app(ty_Ratio, hb), fh) -> new_esEs19(vuu3000, vuu31000, hb) new_esEs23(vuu3002, vuu31002, app(app(ty_@2, bfe), bff)) -> new_esEs6(vuu3002, vuu31002, bfe, bff) new_esEs7(vuu3000, vuu31000, ty_Integer) -> new_esEs10(vuu3000, vuu31000) new_esEs7(vuu3000, vuu31000, app(ty_Ratio, da)) -> new_esEs19(vuu3000, vuu31000, da) new_esEs4(Right(vuu3000), Right(vuu31000), hc, ty_Ordering) -> new_esEs13(vuu3000, vuu31000) new_esEs15(Just(vuu3000), Just(vuu31000), app(app(ty_@2, bbd), bbe)) -> new_esEs6(vuu3000, vuu31000, bbd, bbe) new_esEs5(True, True) -> True new_esEs4(Left(vuu3000), Right(vuu31000), hc, fh) -> False new_esEs4(Right(vuu3000), Left(vuu31000), hc, fh) -> False new_esEs21(vuu3000, vuu31000, ty_Int) -> new_esEs14(vuu3000, vuu31000) new_esEs4(Right(vuu3000), Right(vuu31000), hc, ty_Double) -> new_esEs12(vuu3000, vuu31000) new_esEs21(vuu3000, vuu31000, app(app(ty_@2, bda), bdb)) -> new_esEs6(vuu3000, vuu31000, bda, bdb) new_esEs23(vuu3002, vuu31002, ty_Ordering) -> new_esEs13(vuu3002, vuu31002) new_esEs4(Right(vuu3000), Right(vuu31000), hc, app(ty_Ratio, bae)) -> new_esEs19(vuu3000, vuu31000, bae) new_esEs22(vuu3001, vuu31001, app(app(ty_Either, bdf), bdg)) -> new_esEs4(vuu3001, vuu31001, bdf, bdg) new_esEs21(vuu3000, vuu31000, ty_Double) -> new_esEs12(vuu3000, vuu31000) new_esEs7(vuu3000, vuu31000, app(app(app(ty_@3, ca), cb), cc)) -> new_esEs11(vuu3000, vuu31000, ca, cb, cc) new_esEs15(Just(vuu3000), Just(vuu31000), ty_Double) -> new_esEs12(vuu3000, vuu31000) new_esEs22(vuu3001, vuu31001, ty_Float) -> new_esEs17(vuu3001, vuu31001) new_primMulNat0(Succ(vuu300000), Succ(vuu3100100)) -> new_primPlusNat1(new_primMulNat0(vuu300000, Succ(vuu3100100)), vuu3100100) new_esEs16(:(vuu3000, vuu3001), :(vuu31000, vuu31001), ed) -> new_asAs(new_esEs20(vuu3000, vuu31000, ed), new_esEs16(vuu3001, vuu31001, ed)) new_esEs15(Just(vuu3000), Just(vuu31000), ty_Int) -> new_esEs14(vuu3000, vuu31000) new_esEs23(vuu3002, vuu31002, ty_@0) -> new_esEs9(vuu3002, vuu31002) new_esEs19(:%(vuu3000, vuu3001), :%(vuu31000, vuu31001), bgb) -> new_asAs(new_esEs24(vuu3000, vuu31000, bgb), new_esEs25(vuu3001, vuu31001, bgb)) new_asAs(True, vuu58) -> vuu58 new_esEs10(Integer(vuu3000), Integer(vuu31000)) -> new_primEqInt(vuu3000, vuu31000) new_esEs21(vuu3000, vuu31000, app(app(app(ty_@3, bcf), bcg), bch)) -> new_esEs11(vuu3000, vuu31000, bcf, bcg, bch) new_esEs8(vuu3001, vuu31001, ty_Ordering) -> new_esEs13(vuu3001, vuu31001) new_primEqInt(Pos(Succ(vuu30000)), Pos(Zero)) -> False new_primEqInt(Pos(Zero), Pos(Succ(vuu310000))) -> False new_esEs21(vuu3000, vuu31000, ty_Char) -> new_esEs18(vuu3000, vuu31000) new_esEs4(Left(vuu3000), Left(vuu31000), app(app(ty_Either, ga), gb), fh) -> new_esEs4(vuu3000, vuu31000, ga, gb) new_esEs4(Right(vuu3000), Right(vuu31000), hc, app(app(ty_@2, baa), bab)) -> new_esEs6(vuu3000, vuu31000, baa, bab) new_esEs7(vuu3000, vuu31000, ty_Bool) -> new_esEs5(vuu3000, vuu31000) new_esEs15(Just(vuu3000), Just(vuu31000), ty_@0) -> new_esEs9(vuu3000, vuu31000) new_primEqNat0(Succ(vuu30000), Succ(vuu310000)) -> new_primEqNat0(vuu30000, vuu310000) new_esEs21(vuu3000, vuu31000, ty_Ordering) -> new_esEs13(vuu3000, vuu31000) new_esEs6(@2(vuu3000, vuu3001), @2(vuu31000, vuu31001), be, bf) -> new_asAs(new_esEs7(vuu3000, vuu31000, be), new_esEs8(vuu3001, vuu31001, bf)) new_esEs8(vuu3001, vuu31001, app(ty_[], eb)) -> new_esEs16(vuu3001, vuu31001, eb) new_esEs9(@0, @0) -> True new_esEs20(vuu3000, vuu31000, app(app(ty_Either, ee), ef)) -> new_esEs4(vuu3000, vuu31000, ee, ef) new_esEs4(Left(vuu3000), Left(vuu31000), ty_Double, fh) -> new_esEs12(vuu3000, vuu31000) new_esEs15(Nothing, Just(vuu31000), baf) -> False new_esEs15(Just(vuu3000), Nothing, baf) -> False new_primMulNat0(Zero, Zero) -> Zero new_esEs20(vuu3000, vuu31000, app(ty_Maybe, fd)) -> new_esEs15(vuu3000, vuu31000, fd) new_esEs4(Left(vuu3000), Left(vuu31000), ty_Char, fh) -> new_esEs18(vuu3000, vuu31000) new_esEs15(Nothing, Nothing, baf) -> True new_esEs23(vuu3002, vuu31002, app(app(app(ty_@3, bfb), bfc), bfd)) -> new_esEs11(vuu3002, vuu31002, bfb, bfc, bfd) new_esEs22(vuu3001, vuu31001, ty_Integer) -> new_esEs10(vuu3001, vuu31001) new_esEs21(vuu3000, vuu31000, ty_Integer) -> new_esEs10(vuu3000, vuu31000) new_esEs12(Double(vuu3000, vuu3001), Double(vuu31000, vuu31001)) -> new_esEs14(new_sr(vuu3000, vuu31001), new_sr(vuu3001, vuu31000)) new_esEs8(vuu3001, vuu31001, app(app(ty_@2, dg), dh)) -> new_esEs6(vuu3001, vuu31001, dg, dh) new_esEs22(vuu3001, vuu31001, app(ty_Ratio, beg)) -> new_esEs19(vuu3001, vuu31001, beg) new_esEs23(vuu3002, vuu31002, ty_Char) -> new_esEs18(vuu3002, vuu31002) new_esEs7(vuu3000, vuu31000, ty_Double) -> new_esEs12(vuu3000, vuu31000) new_esEs8(vuu3001, vuu31001, ty_Float) -> new_esEs17(vuu3001, vuu31001) new_esEs4(Left(vuu3000), Left(vuu31000), app(app(app(ty_@3, gc), gd), ge), fh) -> new_esEs11(vuu3000, vuu31000, gc, gd, ge) new_esEs4(Right(vuu3000), Right(vuu31000), hc, app(app(app(ty_@3, hf), hg), hh)) -> new_esEs11(vuu3000, vuu31000, hf, hg, hh) new_esEs4(Left(vuu3000), Left(vuu31000), ty_Bool, fh) -> new_esEs5(vuu3000, vuu31000) new_primEqNat0(Succ(vuu30000), Zero) -> False new_primEqNat0(Zero, Succ(vuu310000)) -> False new_esEs18(Char(vuu3000), Char(vuu31000)) -> new_primEqNat0(vuu3000, vuu31000) new_esEs25(vuu3001, vuu31001, ty_Int) -> new_esEs14(vuu3001, vuu31001) new_esEs4(Left(vuu3000), Left(vuu31000), ty_@0, fh) -> new_esEs9(vuu3000, vuu31000) new_esEs4(Right(vuu3000), Right(vuu31000), hc, app(app(ty_Either, hd), he)) -> new_esEs4(vuu3000, vuu31000, hd, he) new_esEs23(vuu3002, vuu31002, ty_Bool) -> new_esEs5(vuu3002, vuu31002) new_esEs7(vuu3000, vuu31000, app(ty_Maybe, cf)) -> new_esEs15(vuu3000, vuu31000, cf) new_esEs13(LT, LT) -> True new_esEs4(Left(vuu3000), Left(vuu31000), app(app(ty_@2, gf), gg), fh) -> new_esEs6(vuu3000, vuu31000, gf, gg) new_esEs4(Right(vuu3000), Right(vuu31000), hc, ty_Bool) -> new_esEs5(vuu3000, vuu31000) new_esEs15(Just(vuu3000), Just(vuu31000), app(ty_[], bbg)) -> new_esEs16(vuu3000, vuu31000, bbg) new_esEs22(vuu3001, vuu31001, ty_Ordering) -> new_esEs13(vuu3001, vuu31001) new_primEqInt(Neg(Succ(vuu30000)), Neg(Zero)) -> False new_primEqInt(Neg(Zero), Neg(Succ(vuu310000))) -> False new_esEs15(Just(vuu3000), Just(vuu31000), app(ty_Maybe, bbf)) -> new_esEs15(vuu3000, vuu31000, bbf) new_esEs14(vuu300, vuu3100) -> new_primEqInt(vuu300, vuu3100) new_primEqInt(Pos(Succ(vuu30000)), Pos(Succ(vuu310000))) -> new_primEqNat0(vuu30000, vuu310000) new_esEs4(Left(vuu3000), Left(vuu31000), ty_Ordering, fh) -> new_esEs13(vuu3000, vuu31000) new_esEs15(Just(vuu3000), Just(vuu31000), ty_Float) -> new_esEs17(vuu3000, vuu31000) new_esEs20(vuu3000, vuu31000, app(ty_[], ff)) -> new_esEs16(vuu3000, vuu31000, ff) new_esEs7(vuu3000, vuu31000, ty_Int) -> new_esEs14(vuu3000, vuu31000) new_sr(Pos(vuu30000), Neg(vuu310010)) -> Neg(new_primMulNat0(vuu30000, vuu310010)) new_sr(Neg(vuu30000), Pos(vuu310010)) -> Neg(new_primMulNat0(vuu30000, vuu310010)) new_esEs7(vuu3000, vuu31000, app(ty_[], cg)) -> new_esEs16(vuu3000, vuu31000, cg) new_esEs4(Right(vuu3000), Right(vuu31000), hc, ty_@0) -> new_esEs9(vuu3000, vuu31000) new_primEqInt(Pos(Succ(vuu30000)), Neg(vuu31000)) -> False new_primEqInt(Neg(Succ(vuu30000)), Pos(vuu31000)) -> False new_esEs22(vuu3001, vuu31001, app(app(app(ty_@3, bdh), bea), beb)) -> new_esEs11(vuu3001, vuu31001, bdh, bea, beb) new_esEs23(vuu3002, vuu31002, app(ty_Ratio, bga)) -> new_esEs19(vuu3002, vuu31002, bga) new_esEs20(vuu3000, vuu31000, ty_Float) -> new_esEs17(vuu3000, vuu31000) new_esEs13(LT, GT) -> False new_esEs13(GT, LT) -> False new_esEs22(vuu3001, vuu31001, ty_Char) -> new_esEs18(vuu3001, vuu31001) new_esEs7(vuu3000, vuu31000, ty_Float) -> new_esEs17(vuu3000, vuu31000) new_esEs8(vuu3001, vuu31001, app(app(app(ty_@3, dd), de), df)) -> new_esEs11(vuu3001, vuu31001, dd, de, df) new_esEs15(Just(vuu3000), Just(vuu31000), app(app(ty_Either, bag), bah)) -> new_esEs4(vuu3000, vuu31000, bag, bah) new_esEs20(vuu3000, vuu31000, ty_Int) -> new_esEs14(vuu3000, vuu31000) new_esEs22(vuu3001, vuu31001, app(app(ty_@2, bec), bed)) -> new_esEs6(vuu3001, vuu31001, bec, bed) new_esEs8(vuu3001, vuu31001, ty_Char) -> new_esEs18(vuu3001, vuu31001) new_esEs22(vuu3001, vuu31001, ty_Double) -> new_esEs12(vuu3001, vuu31001) new_esEs23(vuu3002, vuu31002, ty_Float) -> new_esEs17(vuu3002, vuu31002) new_esEs4(Left(vuu3000), Left(vuu31000), ty_Float, fh) -> new_esEs17(vuu3000, vuu31000) new_sr(Neg(vuu30000), Neg(vuu310010)) -> Pos(new_primMulNat0(vuu30000, vuu310010)) new_esEs21(vuu3000, vuu31000, app(app(ty_Either, bcd), bce)) -> new_esEs4(vuu3000, vuu31000, bcd, bce) new_esEs25(vuu3001, vuu31001, ty_Integer) -> new_esEs10(vuu3001, vuu31001) new_esEs17(Float(vuu3000, vuu3001), Float(vuu31000, vuu31001)) -> new_esEs14(new_sr(vuu3000, vuu31001), new_sr(vuu3001, vuu31000)) new_esEs13(GT, GT) -> True new_esEs4(Right(vuu3000), Right(vuu31000), hc, ty_Float) -> new_esEs17(vuu3000, vuu31000) new_esEs23(vuu3002, vuu31002, app(ty_Maybe, bfg)) -> new_esEs15(vuu3002, vuu31002, bfg) new_primEqInt(Pos(Zero), Neg(Succ(vuu310000))) -> False new_primEqInt(Neg(Zero), Pos(Succ(vuu310000))) -> False new_esEs8(vuu3001, vuu31001, app(ty_Ratio, ec)) -> new_esEs19(vuu3001, vuu31001, ec) new_esEs8(vuu3001, vuu31001, ty_Integer) -> new_esEs10(vuu3001, vuu31001) new_primPlusNat0(Succ(vuu7100), Succ(vuu31001000)) -> Succ(Succ(new_primPlusNat0(vuu7100, vuu31001000))) new_esEs8(vuu3001, vuu31001, ty_Int) -> new_esEs14(vuu3001, vuu31001) new_esEs20(vuu3000, vuu31000, app(app(ty_@2, fb), fc)) -> new_esEs6(vuu3000, vuu31000, fb, fc) new_esEs22(vuu3001, vuu31001, ty_Int) -> new_esEs14(vuu3001, vuu31001) new_esEs5(False, True) -> False new_esEs5(True, False) -> False new_esEs20(vuu3000, vuu31000, app(app(app(ty_@3, eg), eh), fa)) -> new_esEs11(vuu3000, vuu31000, eg, eh, fa) new_primEqInt(Neg(Succ(vuu30000)), Neg(Succ(vuu310000))) -> new_primEqNat0(vuu30000, vuu310000) new_esEs11(@3(vuu3000, vuu3001, vuu3002), @3(vuu31000, vuu31001, vuu31002), bca, bcb, bcc) -> new_asAs(new_esEs21(vuu3000, vuu31000, bca), new_asAs(new_esEs22(vuu3001, vuu31001, bcb), new_esEs23(vuu3002, vuu31002, bcc))) new_esEs21(vuu3000, vuu31000, ty_Float) -> new_esEs17(vuu3000, vuu31000) new_esEs20(vuu3000, vuu31000, ty_Double) -> new_esEs12(vuu3000, vuu31000) new_esEs7(vuu3000, vuu31000, ty_@0) -> new_esEs9(vuu3000, vuu31000) new_esEs23(vuu3002, vuu31002, app(app(ty_Either, beh), bfa)) -> new_esEs4(vuu3002, vuu31002, beh, bfa) new_esEs13(EQ, GT) -> False new_esEs13(GT, EQ) -> False new_esEs22(vuu3001, vuu31001, ty_@0) -> new_esEs9(vuu3001, vuu31001) new_esEs21(vuu3000, vuu31000, app(ty_Maybe, bdc)) -> new_esEs15(vuu3000, vuu31000, bdc) new_esEs4(Right(vuu3000), Right(vuu31000), hc, ty_Char) -> new_esEs18(vuu3000, vuu31000) new_esEs8(vuu3001, vuu31001, app(ty_Maybe, ea)) -> new_esEs15(vuu3001, vuu31001, ea) new_esEs23(vuu3002, vuu31002, ty_Integer) -> new_esEs10(vuu3002, vuu31002) new_primMulNat0(Succ(vuu300000), Zero) -> Zero new_primMulNat0(Zero, Succ(vuu3100100)) -> Zero new_sr(Pos(vuu30000), Pos(vuu310010)) -> Pos(new_primMulNat0(vuu30000, vuu310010)) new_esEs20(vuu3000, vuu31000, ty_Integer) -> new_esEs10(vuu3000, vuu31000) new_esEs4(Left(vuu3000), Left(vuu31000), ty_Integer, fh) -> new_esEs10(vuu3000, vuu31000) new_esEs7(vuu3000, vuu31000, app(app(ty_Either, bg), bh)) -> new_esEs4(vuu3000, vuu31000, bg, bh) new_esEs15(Just(vuu3000), Just(vuu31000), ty_Bool) -> new_esEs5(vuu3000, vuu31000) new_primPlusNat1(Succ(vuu710), vuu3100100) -> Succ(Succ(new_primPlusNat0(vuu710, vuu3100100))) new_esEs21(vuu3000, vuu31000, app(ty_[], bdd)) -> new_esEs16(vuu3000, vuu31000, bdd) new_esEs15(Just(vuu3000), Just(vuu31000), app(ty_Ratio, bbh)) -> new_esEs19(vuu3000, vuu31000, bbh) new_esEs21(vuu3000, vuu31000, ty_Bool) -> new_esEs5(vuu3000, vuu31000) new_esEs20(vuu3000, vuu31000, ty_@0) -> new_esEs9(vuu3000, vuu31000) new_esEs15(Just(vuu3000), Just(vuu31000), ty_Integer) -> new_esEs10(vuu3000, vuu31000) new_primPlusNat0(Succ(vuu7100), Zero) -> Succ(vuu7100) new_primPlusNat0(Zero, Succ(vuu31001000)) -> Succ(vuu31001000) new_primEqInt(Neg(Zero), Neg(Zero)) -> True new_esEs20(vuu3000, vuu31000, ty_Ordering) -> new_esEs13(vuu3000, vuu31000) new_esEs21(vuu3000, vuu31000, app(ty_Ratio, bde)) -> new_esEs19(vuu3000, vuu31000, bde) new_primPlusNat1(Zero, vuu3100100) -> Succ(vuu3100100) new_esEs24(vuu3000, vuu31000, ty_Int) -> new_esEs14(vuu3000, vuu31000) new_esEs20(vuu3000, vuu31000, ty_Bool) -> new_esEs5(vuu3000, vuu31000) new_esEs22(vuu3001, vuu31001, ty_Bool) -> new_esEs5(vuu3001, vuu31001) new_esEs15(Just(vuu3000), Just(vuu31000), app(app(app(ty_@3, bba), bbb), bbc)) -> new_esEs11(vuu3000, vuu31000, bba, bbb, bbc) new_esEs16(:(vuu3000, vuu3001), [], ed) -> False new_esEs16([], :(vuu31000, vuu31001), ed) -> False new_esEs4(Right(vuu3000), Right(vuu31000), hc, ty_Int) -> new_esEs14(vuu3000, vuu31000) new_esEs5(False, False) -> True new_esEs23(vuu3002, vuu31002, app(ty_[], bfh)) -> new_esEs16(vuu3002, vuu31002, bfh) new_primEqInt(Pos(Zero), Neg(Zero)) -> True new_primEqInt(Neg(Zero), Pos(Zero)) -> True new_esEs7(vuu3000, vuu31000, app(app(ty_@2, cd), ce)) -> new_esEs6(vuu3000, vuu31000, cd, ce) new_esEs4(Right(vuu3000), Right(vuu31000), hc, ty_Integer) -> new_esEs10(vuu3000, vuu31000) new_esEs8(vuu3001, vuu31001, ty_Double) -> new_esEs12(vuu3001, vuu31001) new_esEs20(vuu3000, vuu31000, ty_Char) -> new_esEs18(vuu3000, vuu31000) new_esEs4(Left(vuu3000), Left(vuu31000), ty_Int, fh) -> new_esEs14(vuu3000, vuu31000) new_esEs4(Left(vuu3000), Left(vuu31000), app(ty_[], ha), fh) -> new_esEs16(vuu3000, vuu31000, ha) new_esEs22(vuu3001, vuu31001, app(ty_Maybe, bee)) -> new_esEs15(vuu3001, vuu31001, bee) new_esEs24(vuu3000, vuu31000, ty_Integer) -> new_esEs10(vuu3000, vuu31000) new_primEqNat0(Zero, Zero) -> True new_esEs16([], [], ed) -> True new_esEs7(vuu3000, vuu31000, ty_Ordering) -> new_esEs13(vuu3000, vuu31000) new_esEs4(Right(vuu3000), Right(vuu31000), hc, app(ty_Maybe, bac)) -> new_esEs15(vuu3000, vuu31000, bac) new_esEs8(vuu3001, vuu31001, app(app(ty_Either, db), dc)) -> new_esEs4(vuu3001, vuu31001, db, dc) new_esEs13(EQ, EQ) -> True new_esEs15(Just(vuu3000), Just(vuu31000), ty_Ordering) -> new_esEs13(vuu3000, vuu31000) new_esEs22(vuu3001, vuu31001, app(ty_[], bef)) -> new_esEs16(vuu3001, vuu31001, bef) new_asAs(False, vuu58) -> False new_esEs13(LT, EQ) -> False new_esEs13(EQ, LT) -> False new_esEs15(Just(vuu3000), Just(vuu31000), ty_Char) -> new_esEs18(vuu3000, vuu31000) new_esEs4(Left(vuu3000), Left(vuu31000), app(ty_Maybe, gh), fh) -> new_esEs15(vuu3000, vuu31000, gh) new_esEs4(Right(vuu3000), Right(vuu31000), hc, app(ty_[], bad)) -> new_esEs16(vuu3000, vuu31000, bad) new_esEs20(vuu3000, vuu31000, app(ty_Ratio, fg)) -> new_esEs19(vuu3000, vuu31000, fg) new_esEs8(vuu3001, vuu31001, ty_@0) -> new_esEs9(vuu3001, vuu31001) new_esEs8(vuu3001, vuu31001, ty_Bool) -> new_esEs5(vuu3001, vuu31001) new_esEs23(vuu3002, vuu31002, ty_Int) -> new_esEs14(vuu3002, vuu31002) new_esEs21(vuu3000, vuu31000, ty_@0) -> new_esEs9(vuu3000, vuu31000) The set Q consists of the following terms: new_esEs7(x0, x1, ty_Bool) new_esEs8(x0, x1, app(app(ty_@2, x2), x3)) new_esEs4(Left(x0), Left(x1), ty_Integer, x2) new_esEs13(EQ, EQ) new_esEs23(x0, x1, ty_Int) new_esEs16(:(x0, x1), [], x2) new_esEs22(x0, x1, ty_Float) new_esEs22(x0, x1, ty_Double) new_esEs21(x0, x1, app(ty_Ratio, x2)) new_esEs4(Left(x0), Left(x1), app(ty_Maybe, x2), x3) new_esEs15(Just(x0), Just(x1), app(ty_[], x2)) new_esEs4(Right(x0), Right(x1), x2, app(app(app(ty_@3, x3), x4), x5)) new_esEs18(Char(x0), Char(x1)) new_esEs8(x0, x1, ty_Integer) new_esEs22(x0, x1, app(app(ty_@2, x2), x3)) new_primMulNat0(Zero, Zero) new_primEqInt(Neg(Zero), Neg(Succ(x0))) new_esEs24(x0, x1, ty_Integer) new_esEs19(:%(x0, x1), :%(x2, x3), x4) new_esEs23(x0, x1, ty_Char) new_esEs7(x0, x1, ty_@0) new_esEs4(Right(x0), Right(x1), x2, ty_Char) new_esEs16([], :(x0, x1), x2) new_primPlusNat0(Succ(x0), Zero) new_primEqInt(Pos(Zero), Pos(Succ(x0))) new_esEs4(Right(x0), Right(x1), x2, app(ty_Maybe, x3)) new_primEqInt(Pos(Zero), Pos(Zero)) new_esEs15(Just(x0), Just(x1), ty_Double) new_primPlusNat0(Zero, Succ(x0)) new_esEs8(x0, x1, ty_Bool) new_esEs23(x0, x1, app(app(ty_@2, x2), x3)) new_esEs4(Left(x0), Left(x1), ty_Bool, x2) new_esEs15(Just(x0), Just(x1), ty_Float) new_primEqNat0(Zero, Succ(x0)) new_esEs15(Just(x0), Just(x1), ty_Ordering) new_esEs20(x0, x1, ty_Ordering) new_esEs8(x0, x1, app(ty_[], x2)) new_esEs20(x0, x1, ty_Integer) new_esEs13(LT, LT) new_sr(Neg(x0), Neg(x1)) new_esEs22(x0, x1, app(ty_Ratio, x2)) new_primEqInt(Neg(Zero), Neg(Zero)) new_esEs20(x0, x1, ty_Float) new_esEs22(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_primPlusNat0(Zero, Zero) new_esEs23(x0, x1, app(ty_Ratio, x2)) new_esEs7(x0, x1, app(ty_Maybe, x2)) new_esEs25(x0, x1, ty_Integer) new_esEs21(x0, x1, app(app(ty_@2, x2), x3)) new_esEs15(Just(x0), Just(x1), app(app(app(ty_@3, x2), x3), x4)) new_esEs5(False, True) new_esEs5(True, False) new_esEs4(Left(x0), Right(x1), x2, x3) new_esEs4(Right(x0), Left(x1), x2, x3) new_esEs8(x0, x1, app(ty_Ratio, x2)) new_esEs21(x0, x1, ty_Bool) new_esEs4(Left(x0), Left(x1), ty_Double, x2) new_esEs22(x0, x1, ty_Integer) new_esEs5(True, True) new_sr(Pos(x0), Pos(x1)) new_esEs23(x0, x1, ty_Double) new_esEs21(x0, x1, ty_Float) new_esEs8(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs11(@3(x0, x1, x2), @3(x3, x4, x5), x6, x7, x8) new_primEqInt(Pos(Succ(x0)), Pos(Zero)) new_esEs15(Just(x0), Just(x1), app(app(ty_@2, x2), x3)) new_primEqInt(Pos(Zero), Neg(Zero)) new_primEqInt(Neg(Zero), Pos(Zero)) new_esEs23(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs23(x0, x1, ty_Float) new_esEs24(x0, x1, ty_Int) new_esEs21(x0, x1, ty_@0) new_asAs(True, x0) new_primEqInt(Pos(Zero), Neg(Succ(x0))) new_primEqInt(Neg(Zero), Pos(Succ(x0))) new_esEs8(x0, x1, app(ty_Maybe, x2)) new_esEs16([], [], x0) new_esEs7(x0, x1, app(ty_[], x2)) new_esEs21(x0, x1, ty_Double) new_esEs15(Nothing, Nothing, x0) new_esEs4(Right(x0), Right(x1), x2, app(app(ty_Either, x3), x4)) new_esEs4(Left(x0), Left(x1), ty_Float, x2) new_esEs21(x0, x1, ty_Char) new_esEs4(Right(x0), Right(x1), x2, ty_Integer) new_esEs22(x0, x1, ty_Ordering) new_primEqInt(Pos(Succ(x0)), Neg(x1)) new_primEqInt(Neg(Succ(x0)), Pos(x1)) new_primMulNat0(Succ(x0), Zero) new_esEs22(x0, x1, app(ty_[], x2)) new_esEs22(x0, x1, app(app(ty_Either, x2), x3)) new_esEs4(Left(x0), Left(x1), ty_Int, x2) new_esEs10(Integer(x0), Integer(x1)) new_esEs23(x0, x1, ty_@0) new_esEs20(x0, x1, app(ty_Ratio, x2)) new_esEs4(Right(x0), Right(x1), x2, app(ty_Ratio, x3)) new_esEs4(Right(x0), Right(x1), x2, ty_Ordering) new_esEs4(Left(x0), Left(x1), ty_@0, x2) new_esEs21(x0, x1, ty_Int) new_esEs20(x0, x1, app(app(ty_@2, x2), x3)) new_esEs9(@0, @0) new_esEs7(x0, x1, ty_Float) new_esEs22(x0, x1, ty_@0) new_esEs23(x0, x1, app(ty_[], x2)) new_esEs8(x0, x1, ty_Int) new_esEs23(x0, x1, ty_Integer) new_esEs20(x0, x1, app(ty_[], x2)) new_esEs22(x0, x1, ty_Bool) new_esEs12(Double(x0, x1), Double(x2, x3)) new_esEs16(:(x0, x1), :(x2, x3), x4) new_esEs4(Left(x0), Left(x1), ty_Char, x2) new_esEs4(Right(x0), Right(x1), x2, app(app(ty_@2, x3), x4)) new_primMulNat0(Zero, Succ(x0)) new_esEs20(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs13(LT, GT) new_esEs13(GT, LT) new_esEs7(x0, x1, ty_Ordering) new_esEs7(x0, x1, app(app(ty_Either, x2), x3)) new_esEs7(x0, x1, ty_Int) new_esEs8(x0, x1, ty_Ordering) new_esEs15(Just(x0), Just(x1), ty_@0) new_primEqInt(Pos(Succ(x0)), Pos(Succ(x1))) new_esEs7(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs23(x0, x1, app(ty_Maybe, x2)) new_esEs21(x0, x1, app(ty_[], x2)) new_esEs8(x0, x1, app(app(ty_Either, x2), x3)) new_esEs15(Just(x0), Just(x1), ty_Char) new_primPlusNat1(Succ(x0), x1) new_esEs22(x0, x1, app(ty_Maybe, x2)) new_esEs6(@2(x0, x1), @2(x2, x3), x4, x5) new_esEs23(x0, x1, ty_Bool) new_esEs20(x0, x1, ty_@0) new_primEqInt(Neg(Succ(x0)), Neg(Succ(x1))) new_esEs17(Float(x0, x1), Float(x2, x3)) new_esEs7(x0, x1, ty_Char) new_primMulNat0(Succ(x0), Succ(x1)) new_esEs7(x0, x1, app(app(ty_@2, x2), x3)) new_esEs15(Just(x0), Just(x1), ty_Int) new_esEs7(x0, x1, ty_Double) new_esEs8(x0, x1, ty_Double) new_esEs8(x0, x1, ty_Char) new_esEs22(x0, x1, ty_Char) new_primEqNat0(Zero, Zero) new_esEs7(x0, x1, app(ty_Ratio, x2)) new_esEs20(x0, x1, app(ty_Maybe, x2)) new_esEs25(x0, x1, ty_Int) new_primPlusNat0(Succ(x0), Succ(x1)) new_esEs13(EQ, GT) new_esEs13(GT, EQ) new_esEs21(x0, x1, app(ty_Maybe, x2)) new_esEs4(Right(x0), Right(x1), x2, ty_Bool) new_esEs21(x0, x1, ty_Ordering) new_esEs4(Right(x0), Right(x1), x2, app(ty_[], x3)) new_esEs14(x0, x1) new_esEs23(x0, x1, app(app(ty_Either, x2), x3)) new_esEs4(Right(x0), Right(x1), x2, ty_Float) new_primPlusNat1(Zero, x0) new_esEs4(Right(x0), Right(x1), x2, ty_Double) new_esEs4(Left(x0), Left(x1), app(ty_[], x2), x3) new_esEs15(Just(x0), Just(x1), ty_Integer) new_esEs8(x0, x1, ty_@0) new_sr(Pos(x0), Neg(x1)) new_sr(Neg(x0), Pos(x1)) new_primEqInt(Neg(Succ(x0)), Neg(Zero)) new_esEs20(x0, x1, ty_Int) new_esEs20(x0, x1, app(app(ty_Either, x2), x3)) new_esEs21(x0, x1, ty_Integer) new_esEs21(x0, x1, app(app(ty_Either, x2), x3)) new_esEs15(Just(x0), Just(x1), app(ty_Ratio, x2)) new_esEs4(Left(x0), Left(x1), app(ty_Ratio, x2), x3) new_esEs20(x0, x1, ty_Char) new_esEs20(x0, x1, ty_Double) new_esEs15(Nothing, Just(x0), x1) new_asAs(False, x0) new_esEs15(Just(x0), Just(x1), app(app(ty_Either, x2), x3)) new_primEqNat0(Succ(x0), Zero) new_esEs15(Just(x0), Nothing, x1) new_esEs8(x0, x1, ty_Float) new_esEs4(Left(x0), Left(x1), app(app(app(ty_@3, x2), x3), x4), x5) new_esEs4(Right(x0), Right(x1), x2, ty_Int) new_esEs7(x0, x1, ty_Integer) new_esEs15(Just(x0), Just(x1), ty_Bool) new_esEs4(Left(x0), Left(x1), app(app(ty_@2, x2), x3), x4) new_esEs4(Left(x0), Left(x1), app(app(ty_Either, x2), x3), x4) new_esEs13(GT, GT) new_esEs13(LT, EQ) new_esEs13(EQ, LT) new_esEs4(Right(x0), Right(x1), x2, ty_@0) new_primEqNat0(Succ(x0), Succ(x1)) new_esEs22(x0, x1, ty_Int) new_esEs21(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs5(False, False) new_esEs15(Just(x0), Just(x1), app(ty_Maybe, x2)) new_esEs20(x0, x1, ty_Bool) new_esEs4(Left(x0), Left(x1), ty_Ordering, x2) new_esEs23(x0, x1, ty_Ordering) 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_span2Zs1(vuu27, :(vuu290, vuu291), bc, bd) -> new_span2Zs00(vuu27, vuu290, vuu291, new_esEs4(Left(vuu27), vuu290, bc, bd), bc, bd) The graph contains the following edges 1 >= 1, 2 > 2, 2 > 3, 3 >= 5, 4 >= 6 *new_span2Ys1(vuu9, :(vuu110, vuu111), ba, bb) -> new_span2Ys00(vuu9, vuu110, vuu111, new_esEs4(Left(vuu9), vuu110, ba, bb), ba, bb) The graph contains the following edges 1 >= 1, 2 > 2, 2 > 3, 3 >= 5, 4 >= 6 *new_span2Ys00(vuu9, vuu110, vuu111, True, ba, bb) -> new_span2Ys1(vuu9, vuu111, ba, bb) The graph contains the following edges 1 >= 1, 3 >= 2, 5 >= 3, 6 >= 4 *new_span2Ys00(vuu9, vuu110, vuu111, True, ba, bb) -> new_span2Zs1(vuu9, vuu111, ba, bb) The graph contains the following edges 1 >= 1, 3 >= 2, 5 >= 3, 6 >= 4 *new_span2Zs00(vuu27, vuu290, vuu291, True, bc, bd) -> new_span2Ys1(vuu27, vuu291, bc, bd) The graph contains the following edges 1 >= 1, 3 >= 2, 5 >= 3, 6 >= 4 *new_span2Zs00(vuu27, vuu290, vuu291, True, bc, bd) -> new_span2Zs1(vuu27, vuu291, bc, bd) The graph contains the following edges 1 >= 1, 3 >= 2, 5 >= 3, 6 >= 4 ---------------------------------------- (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(vuu7100), Succ(vuu31001000)) -> new_primPlusNat(vuu7100, 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(vuu7100), Succ(vuu31001000)) -> new_primPlusNat(vuu7100, 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