15.52/5.94 YES 17.47/6.49 proof of /export/starexec/sandbox/benchmark/theBenchmark.hs 17.47/6.49 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 17.47/6.49 17.47/6.49 17.47/6.49 H-Termination with start terms of the given HASKELL could be proven: 17.47/6.49 17.47/6.49 (0) HASKELL 17.47/6.49 (1) IFR [EQUIVALENT, 0 ms] 17.47/6.49 (2) HASKELL 17.47/6.49 (3) BR [EQUIVALENT, 15 ms] 17.47/6.49 (4) HASKELL 17.47/6.49 (5) COR [EQUIVALENT, 0 ms] 17.47/6.49 (6) HASKELL 17.47/6.49 (7) Narrow [SOUND, 0 ms] 17.47/6.49 (8) AND 17.47/6.49 (9) QDP 17.47/6.49 (10) DependencyGraphProof [EQUIVALENT, 0 ms] 17.47/6.49 (11) AND 17.47/6.49 (12) QDP 17.47/6.49 (13) QDPSizeChangeProof [EQUIVALENT, 0 ms] 17.47/6.49 (14) YES 17.47/6.49 (15) QDP 17.47/6.49 (16) QDPSizeChangeProof [EQUIVALENT, 0 ms] 17.47/6.49 (17) YES 17.47/6.49 (18) QDP 17.47/6.49 (19) QDPSizeChangeProof [EQUIVALENT, 0 ms] 17.47/6.49 (20) YES 17.47/6.49 (21) QDP 17.47/6.49 (22) QDPSizeChangeProof [EQUIVALENT, 0 ms] 17.47/6.49 (23) YES 17.47/6.49 (24) QDP 17.47/6.49 (25) QDPSizeChangeProof [EQUIVALENT, 0 ms] 17.47/6.49 (26) YES 17.47/6.49 (27) QDP 17.47/6.49 (28) QDPSizeChangeProof [EQUIVALENT, 0 ms] 17.47/6.49 (29) YES 17.47/6.49 (30) QDP 17.47/6.49 (31) QDPSizeChangeProof [EQUIVALENT, 0 ms] 17.47/6.49 (32) YES 17.47/6.49 17.47/6.49 17.47/6.49 ---------------------------------------- 17.47/6.49 17.47/6.49 (0) 17.47/6.49 Obligation: 17.47/6.49 mainModule Main 17.47/6.49 module Maybe where { 17.47/6.49 import qualified List; 17.47/6.49 import qualified Main; 17.47/6.49 import qualified Prelude; 17.47/6.49 } 17.47/6.49 module List where { 17.47/6.49 import qualified Main; 17.47/6.49 import qualified Maybe; 17.47/6.49 import qualified Prelude; 17.47/6.49 infix 5 \\; 17.47/6.49 (\\) :: Eq a => [a] -> [a] -> [a]; 17.47/6.49 (\\) = foldl (flip delete); 17.47/6.49 17.47/6.49 delete :: Eq a => a -> [a] -> [a]; 17.47/6.49 delete = deleteBy (==); 17.47/6.49 17.47/6.49 deleteBy :: (a -> a -> Bool) -> a -> [a] -> [a]; 17.47/6.49 deleteBy _ _ [] = []; 17.47/6.49 deleteBy eq x (y : ys) = if x `eq` y then ys else y : deleteBy eq x ys; 17.47/6.49 17.47/6.49 } 17.47/6.49 module Main where { 17.47/6.49 import qualified List; 17.47/6.49 import qualified Maybe; 17.47/6.49 import qualified Prelude; 17.47/6.49 } 17.47/6.49 17.47/6.49 ---------------------------------------- 17.47/6.49 17.47/6.49 (1) IFR (EQUIVALENT) 17.47/6.49 If Reductions: 17.47/6.49 The following If expression 17.47/6.49 "if eq x y then ys else y : deleteBy eq x ys" 17.47/6.49 is transformed to 17.47/6.49 "deleteBy0 ys y eq x True = ys; 17.47/6.49 deleteBy0 ys y eq x False = y : deleteBy eq x ys; 17.47/6.49 " 17.47/6.49 17.47/6.49 ---------------------------------------- 17.47/6.49 17.47/6.49 (2) 17.47/6.49 Obligation: 17.47/6.49 mainModule Main 17.47/6.49 module Maybe where { 17.47/6.49 import qualified List; 17.47/6.49 import qualified Main; 17.47/6.49 import qualified Prelude; 17.47/6.49 } 17.47/6.49 module List where { 17.47/6.49 import qualified Main; 17.47/6.49 import qualified Maybe; 17.47/6.49 import qualified Prelude; 17.47/6.49 infix 5 \\; 17.47/6.49 (\\) :: Eq a => [a] -> [a] -> [a]; 17.47/6.49 (\\) = foldl (flip delete); 17.47/6.49 17.47/6.49 delete :: Eq a => a -> [a] -> [a]; 17.47/6.49 delete = deleteBy (==); 17.47/6.49 17.47/6.49 deleteBy :: (a -> a -> Bool) -> a -> [a] -> [a]; 17.47/6.49 deleteBy _ _ [] = []; 17.47/6.49 deleteBy eq x (y : ys) = deleteBy0 ys y eq x (x `eq` y); 17.47/6.49 17.47/6.49 deleteBy0 ys y eq x True = ys; 17.47/6.49 deleteBy0 ys y eq x False = y : deleteBy eq x ys; 17.47/6.49 17.47/6.49 } 17.47/6.49 module Main where { 17.47/6.49 import qualified List; 17.47/6.49 import qualified Maybe; 17.47/6.49 import qualified Prelude; 17.47/6.49 } 17.47/6.49 17.47/6.49 ---------------------------------------- 17.47/6.49 17.47/6.49 (3) BR (EQUIVALENT) 17.47/6.49 Replaced joker patterns by fresh variables and removed binding patterns. 17.47/6.49 ---------------------------------------- 17.47/6.49 17.47/6.49 (4) 17.47/6.49 Obligation: 17.47/6.49 mainModule Main 17.47/6.49 module Maybe where { 17.47/6.49 import qualified List; 17.47/6.49 import qualified Main; 17.47/6.49 import qualified Prelude; 17.47/6.49 } 17.47/6.49 module List where { 17.47/6.49 import qualified Main; 17.47/6.50 import qualified Maybe; 17.47/6.50 import qualified Prelude; 17.47/6.50 infix 5 \\; 17.47/6.50 (\\) :: Eq a => [a] -> [a] -> [a]; 17.47/6.50 (\\) = foldl (flip delete); 17.47/6.50 17.47/6.50 delete :: Eq a => a -> [a] -> [a]; 17.47/6.50 delete = deleteBy (==); 17.47/6.50 17.47/6.50 deleteBy :: (a -> a -> Bool) -> a -> [a] -> [a]; 17.47/6.50 deleteBy xw xx [] = []; 17.47/6.50 deleteBy eq x (y : ys) = deleteBy0 ys y eq x (x `eq` y); 17.47/6.50 17.47/6.50 deleteBy0 ys y eq x True = ys; 17.47/6.50 deleteBy0 ys y eq x False = y : deleteBy eq x ys; 17.47/6.50 17.47/6.50 } 17.47/6.50 module Main where { 17.47/6.50 import qualified List; 17.47/6.50 import qualified Maybe; 17.47/6.50 import qualified Prelude; 17.47/6.50 } 17.47/6.50 17.47/6.50 ---------------------------------------- 17.47/6.50 17.47/6.50 (5) COR (EQUIVALENT) 17.47/6.50 Cond Reductions: 17.47/6.50 The following Function with conditions 17.47/6.50 "undefined |Falseundefined; 17.47/6.50 " 17.47/6.50 is transformed to 17.47/6.50 "undefined = undefined1; 17.47/6.50 " 17.47/6.50 "undefined0 True = undefined; 17.47/6.50 " 17.47/6.50 "undefined1 = undefined0 False; 17.47/6.50 " 17.47/6.50 17.47/6.50 ---------------------------------------- 17.47/6.50 17.47/6.50 (6) 17.47/6.50 Obligation: 17.47/6.50 mainModule Main 17.47/6.50 module Maybe where { 17.47/6.50 import qualified List; 17.47/6.50 import qualified Main; 17.47/6.50 import qualified Prelude; 17.47/6.50 } 17.47/6.50 module List where { 17.47/6.50 import qualified Main; 17.47/6.50 import qualified Maybe; 17.47/6.50 import qualified Prelude; 17.47/6.50 infix 5 \\; 17.47/6.50 (\\) :: Eq a => [a] -> [a] -> [a]; 17.47/6.50 (\\) = foldl (flip delete); 17.47/6.50 17.47/6.50 delete :: Eq a => a -> [a] -> [a]; 17.47/6.50 delete = deleteBy (==); 17.47/6.50 17.47/6.50 deleteBy :: (a -> a -> Bool) -> a -> [a] -> [a]; 17.47/6.50 deleteBy xw xx [] = []; 17.47/6.50 deleteBy eq x (y : ys) = deleteBy0 ys y eq x (x `eq` y); 17.47/6.50 17.47/6.50 deleteBy0 ys y eq x True = ys; 17.47/6.50 deleteBy0 ys y eq x False = y : deleteBy eq x ys; 17.47/6.50 17.47/6.50 } 17.47/6.50 module Main where { 17.47/6.50 import qualified List; 17.47/6.50 import qualified Maybe; 17.47/6.50 import qualified Prelude; 17.47/6.50 } 17.47/6.50 17.47/6.50 ---------------------------------------- 17.47/6.50 17.47/6.50 (7) Narrow (SOUND) 17.47/6.50 Haskell To QDPs 17.47/6.50 17.47/6.50 digraph dp_graph { 17.47/6.50 node [outthreshold=100, inthreshold=100];1[label="(List.\\)",fontsize=16,color="grey",shape="box"];1 -> 3[label="",style="dashed", color="grey", weight=3]; 17.47/6.50 3[label="xy3 (List.\\)",fontsize=16,color="grey",shape="box"];3 -> 4[label="",style="dashed", color="grey", weight=3]; 17.47/6.50 4[label="xy3 (List.\\) xy4",fontsize=16,color="black",shape="triangle"];4 -> 5[label="",style="solid", color="black", weight=3]; 17.47/6.50 5[label="foldl (flip List.delete) xy3 xy4",fontsize=16,color="burlywood",shape="triangle"];975[label="xy4/xy40 : xy41",fontsize=10,color="white",style="solid",shape="box"];5 -> 975[label="",style="solid", color="burlywood", weight=9]; 17.47/6.50 975 -> 6[label="",style="solid", color="burlywood", weight=3]; 17.47/6.50 976[label="xy4/[]",fontsize=10,color="white",style="solid",shape="box"];5 -> 976[label="",style="solid", color="burlywood", weight=9]; 17.47/6.50 976 -> 7[label="",style="solid", color="burlywood", weight=3]; 17.47/6.50 6[label="foldl (flip List.delete) xy3 (xy40 : xy41)",fontsize=16,color="black",shape="box"];6 -> 8[label="",style="solid", color="black", weight=3]; 17.47/6.50 7[label="foldl (flip List.delete) xy3 []",fontsize=16,color="black",shape="box"];7 -> 9[label="",style="solid", color="black", weight=3]; 17.47/6.50 8 -> 5[label="",style="dashed", color="red", weight=0]; 17.47/6.50 8[label="foldl (flip List.delete) (flip List.delete xy3 xy40) xy41",fontsize=16,color="magenta"];8 -> 10[label="",style="dashed", color="magenta", weight=3]; 17.47/6.50 8 -> 11[label="",style="dashed", color="magenta", weight=3]; 17.47/6.50 9[label="xy3",fontsize=16,color="green",shape="box"];10[label="xy41",fontsize=16,color="green",shape="box"];11[label="flip List.delete xy3 xy40",fontsize=16,color="black",shape="box"];11 -> 12[label="",style="solid", color="black", weight=3]; 17.47/6.50 12[label="List.delete xy40 xy3",fontsize=16,color="black",shape="box"];12 -> 13[label="",style="solid", color="black", weight=3]; 17.47/6.50 13[label="List.deleteBy (==) xy40 xy3",fontsize=16,color="burlywood",shape="triangle"];977[label="xy3/xy30 : xy31",fontsize=10,color="white",style="solid",shape="box"];13 -> 977[label="",style="solid", color="burlywood", weight=9]; 17.47/6.50 977 -> 14[label="",style="solid", color="burlywood", weight=3]; 17.47/6.50 978[label="xy3/[]",fontsize=10,color="white",style="solid",shape="box"];13 -> 978[label="",style="solid", color="burlywood", weight=9]; 17.47/6.50 978 -> 15[label="",style="solid", color="burlywood", weight=3]; 17.47/6.50 14[label="List.deleteBy (==) xy40 (xy30 : xy31)",fontsize=16,color="black",shape="box"];14 -> 16[label="",style="solid", color="black", weight=3]; 17.47/6.50 15[label="List.deleteBy (==) xy40 []",fontsize=16,color="black",shape="box"];15 -> 17[label="",style="solid", color="black", weight=3]; 17.47/6.50 16[label="List.deleteBy0 xy31 xy30 (==) xy40 ((==) xy40 xy30)",fontsize=16,color="burlywood",shape="box"];979[label="xy40/xy400 : xy401",fontsize=10,color="white",style="solid",shape="box"];16 -> 979[label="",style="solid", color="burlywood", weight=9]; 17.47/6.50 979 -> 18[label="",style="solid", color="burlywood", weight=3]; 17.47/6.50 980[label="xy40/[]",fontsize=10,color="white",style="solid",shape="box"];16 -> 980[label="",style="solid", color="burlywood", weight=9]; 17.47/6.50 980 -> 19[label="",style="solid", color="burlywood", weight=3]; 17.47/6.50 17[label="[]",fontsize=16,color="green",shape="box"];18[label="List.deleteBy0 xy31 xy30 (==) (xy400 : xy401) ((==) xy400 : xy401 xy30)",fontsize=16,color="burlywood",shape="box"];981[label="xy30/xy300 : xy301",fontsize=10,color="white",style="solid",shape="box"];18 -> 981[label="",style="solid", color="burlywood", weight=9]; 17.47/6.50 981 -> 20[label="",style="solid", color="burlywood", weight=3]; 17.47/6.50 982[label="xy30/[]",fontsize=10,color="white",style="solid",shape="box"];18 -> 982[label="",style="solid", color="burlywood", weight=9]; 17.47/6.50 982 -> 21[label="",style="solid", color="burlywood", weight=3]; 17.47/6.50 19[label="List.deleteBy0 xy31 xy30 (==) [] ((==) [] xy30)",fontsize=16,color="burlywood",shape="box"];983[label="xy30/xy300 : xy301",fontsize=10,color="white",style="solid",shape="box"];19 -> 983[label="",style="solid", color="burlywood", weight=9]; 17.47/6.50 983 -> 22[label="",style="solid", color="burlywood", weight=3]; 17.47/6.50 984[label="xy30/[]",fontsize=10,color="white",style="solid",shape="box"];19 -> 984[label="",style="solid", color="burlywood", weight=9]; 17.47/6.50 984 -> 23[label="",style="solid", color="burlywood", weight=3]; 17.47/6.50 20[label="List.deleteBy0 xy31 (xy300 : xy301) (==) (xy400 : xy401) ((==) xy400 : xy401 xy300 : xy301)",fontsize=16,color="black",shape="box"];20 -> 24[label="",style="solid", color="black", weight=3]; 17.47/6.50 21[label="List.deleteBy0 xy31 [] (==) (xy400 : xy401) ((==) xy400 : xy401 [])",fontsize=16,color="black",shape="box"];21 -> 25[label="",style="solid", color="black", weight=3]; 17.47/6.50 22[label="List.deleteBy0 xy31 (xy300 : xy301) (==) [] ((==) [] xy300 : xy301)",fontsize=16,color="black",shape="box"];22 -> 26[label="",style="solid", color="black", weight=3]; 17.47/6.50 23[label="List.deleteBy0 xy31 [] (==) [] ((==) [] [])",fontsize=16,color="black",shape="box"];23 -> 27[label="",style="solid", color="black", weight=3]; 17.47/6.50 24 -> 118[label="",style="dashed", color="red", weight=0]; 17.47/6.50 24[label="List.deleteBy0 xy31 (xy300 : xy301) (==) (xy400 : xy401) (xy400 == xy300 && xy401 == xy301)",fontsize=16,color="magenta"];24 -> 119[label="",style="dashed", color="magenta", weight=3]; 17.47/6.50 24 -> 120[label="",style="dashed", color="magenta", weight=3]; 17.47/6.50 24 -> 121[label="",style="dashed", color="magenta", weight=3]; 17.47/6.50 24 -> 122[label="",style="dashed", color="magenta", weight=3]; 17.47/6.50 24 -> 123[label="",style="dashed", color="magenta", weight=3]; 17.47/6.50 24 -> 124[label="",style="dashed", color="magenta", weight=3]; 17.47/6.50 25[label="List.deleteBy0 xy31 [] (==) (xy400 : xy401) False",fontsize=16,color="black",shape="box"];25 -> 35[label="",style="solid", color="black", weight=3]; 17.47/6.50 26[label="List.deleteBy0 xy31 (xy300 : xy301) (==) [] False",fontsize=16,color="black",shape="box"];26 -> 36[label="",style="solid", color="black", weight=3]; 17.47/6.50 27[label="List.deleteBy0 xy31 [] (==) [] True",fontsize=16,color="black",shape="box"];27 -> 37[label="",style="solid", color="black", weight=3]; 17.47/6.50 119[label="xy400",fontsize=16,color="green",shape="box"];120[label="xy31",fontsize=16,color="green",shape="box"];121[label="xy401",fontsize=16,color="green",shape="box"];122[label="xy301",fontsize=16,color="green",shape="box"];123 -> 340[label="",style="dashed", color="red", weight=0]; 17.47/6.50 123[label="xy400 == xy300 && xy401 == xy301",fontsize=16,color="magenta"];123 -> 341[label="",style="dashed", color="magenta", weight=3]; 17.47/6.50 123 -> 342[label="",style="dashed", color="magenta", weight=3]; 17.47/6.50 124[label="xy300",fontsize=16,color="green",shape="box"];118[label="List.deleteBy0 xy12 (xy13 : xy14) (==) (xy15 : xy16) xy18",fontsize=16,color="burlywood",shape="triangle"];985[label="xy18/False",fontsize=10,color="white",style="solid",shape="box"];118 -> 985[label="",style="solid", color="burlywood", weight=9]; 17.47/6.50 985 -> 132[label="",style="solid", color="burlywood", weight=3]; 17.47/6.50 986[label="xy18/True",fontsize=10,color="white",style="solid",shape="box"];118 -> 986[label="",style="solid", color="burlywood", weight=9]; 17.47/6.50 986 -> 133[label="",style="solid", color="burlywood", weight=3]; 17.47/6.50 35[label="[] : List.deleteBy (==) (xy400 : xy401) xy31",fontsize=16,color="green",shape="box"];35 -> 54[label="",style="dashed", color="green", weight=3]; 17.47/6.50 36[label="(xy300 : xy301) : List.deleteBy (==) [] xy31",fontsize=16,color="green",shape="box"];36 -> 55[label="",style="dashed", color="green", weight=3]; 17.47/6.50 37[label="xy31",fontsize=16,color="green",shape="box"];341[label="xy400 == xy300",fontsize=16,color="blue",shape="box"];987[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];341 -> 987[label="",style="solid", color="blue", weight=9]; 17.47/6.50 987 -> 345[label="",style="solid", color="blue", weight=3]; 17.47/6.50 988[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];341 -> 988[label="",style="solid", color="blue", weight=9]; 17.47/6.50 988 -> 346[label="",style="solid", color="blue", weight=3]; 17.47/6.50 989[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];341 -> 989[label="",style="solid", color="blue", weight=9]; 17.47/6.50 989 -> 347[label="",style="solid", color="blue", weight=3]; 17.47/6.50 990[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];341 -> 990[label="",style="solid", color="blue", weight=9]; 17.47/6.50 990 -> 348[label="",style="solid", color="blue", weight=3]; 17.47/6.50 991[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];341 -> 991[label="",style="solid", color="blue", weight=9]; 17.47/6.50 991 -> 349[label="",style="solid", color="blue", weight=3]; 17.47/6.50 992[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];341 -> 992[label="",style="solid", color="blue", weight=9]; 17.47/6.50 992 -> 350[label="",style="solid", color="blue", weight=3]; 17.47/6.50 993[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];341 -> 993[label="",style="solid", color="blue", weight=9]; 17.47/6.50 993 -> 351[label="",style="solid", color="blue", weight=3]; 17.47/6.50 994[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];341 -> 994[label="",style="solid", color="blue", weight=9]; 17.47/6.50 994 -> 352[label="",style="solid", color="blue", weight=3]; 17.47/6.50 995[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];341 -> 995[label="",style="solid", color="blue", weight=9]; 17.47/6.50 995 -> 353[label="",style="solid", color="blue", weight=3]; 17.47/6.50 996[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];341 -> 996[label="",style="solid", color="blue", weight=9]; 17.47/6.50 996 -> 354[label="",style="solid", color="blue", weight=3]; 17.47/6.50 997[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];341 -> 997[label="",style="solid", color="blue", weight=9]; 17.47/6.50 997 -> 355[label="",style="solid", color="blue", weight=3]; 17.47/6.50 998[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];341 -> 998[label="",style="solid", color="blue", weight=9]; 17.47/6.50 998 -> 356[label="",style="solid", color="blue", weight=3]; 17.47/6.50 999[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];341 -> 999[label="",style="solid", color="blue", weight=9]; 17.47/6.50 999 -> 357[label="",style="solid", color="blue", weight=3]; 17.47/6.50 1000[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];341 -> 1000[label="",style="solid", color="blue", weight=9]; 17.47/6.50 1000 -> 358[label="",style="solid", color="blue", weight=3]; 17.47/6.50 342[label="xy401 == xy301",fontsize=16,color="burlywood",shape="triangle"];1001[label="xy401/xy4010 : xy4011",fontsize=10,color="white",style="solid",shape="box"];342 -> 1001[label="",style="solid", color="burlywood", weight=9]; 17.47/6.50 1001 -> 359[label="",style="solid", color="burlywood", weight=3]; 17.47/6.50 1002[label="xy401/[]",fontsize=10,color="white",style="solid",shape="box"];342 -> 1002[label="",style="solid", color="burlywood", weight=9]; 17.47/6.50 1002 -> 360[label="",style="solid", color="burlywood", weight=3]; 17.47/6.50 340[label="xy30 && xy31",fontsize=16,color="burlywood",shape="triangle"];1003[label="xy30/False",fontsize=10,color="white",style="solid",shape="box"];340 -> 1003[label="",style="solid", color="burlywood", weight=9]; 17.47/6.50 1003 -> 361[label="",style="solid", color="burlywood", weight=3]; 17.47/6.50 1004[label="xy30/True",fontsize=10,color="white",style="solid",shape="box"];340 -> 1004[label="",style="solid", color="burlywood", weight=9]; 17.47/6.50 1004 -> 362[label="",style="solid", color="burlywood", weight=3]; 17.47/6.50 132[label="List.deleteBy0 xy12 (xy13 : xy14) (==) (xy15 : xy16) False",fontsize=16,color="black",shape="box"];132 -> 150[label="",style="solid", color="black", weight=3]; 17.47/6.50 133[label="List.deleteBy0 xy12 (xy13 : xy14) (==) (xy15 : xy16) True",fontsize=16,color="black",shape="box"];133 -> 151[label="",style="solid", color="black", weight=3]; 17.47/6.50 54 -> 13[label="",style="dashed", color="red", weight=0]; 17.47/6.50 54[label="List.deleteBy (==) (xy400 : xy401) xy31",fontsize=16,color="magenta"];54 -> 78[label="",style="dashed", color="magenta", weight=3]; 17.47/6.50 54 -> 79[label="",style="dashed", color="magenta", weight=3]; 17.47/6.50 55 -> 13[label="",style="dashed", color="red", weight=0]; 17.47/6.50 55[label="List.deleteBy (==) [] xy31",fontsize=16,color="magenta"];55 -> 80[label="",style="dashed", color="magenta", weight=3]; 17.47/6.50 55 -> 81[label="",style="dashed", color="magenta", weight=3]; 17.47/6.50 345[label="xy400 == xy300",fontsize=16,color="burlywood",shape="triangle"];1005[label="xy400/False",fontsize=10,color="white",style="solid",shape="box"];345 -> 1005[label="",style="solid", color="burlywood", weight=9]; 17.47/6.50 1005 -> 363[label="",style="solid", color="burlywood", weight=3]; 17.47/6.50 1006[label="xy400/True",fontsize=10,color="white",style="solid",shape="box"];345 -> 1006[label="",style="solid", color="burlywood", weight=9]; 17.47/6.50 1006 -> 364[label="",style="solid", color="burlywood", weight=3]; 17.47/6.50 346[label="xy400 == xy300",fontsize=16,color="burlywood",shape="triangle"];1007[label="xy400/Integer xy4000",fontsize=10,color="white",style="solid",shape="box"];346 -> 1007[label="",style="solid", color="burlywood", weight=9]; 17.47/6.50 1007 -> 365[label="",style="solid", color="burlywood", weight=3]; 17.47/6.50 347[label="xy400 == xy300",fontsize=16,color="burlywood",shape="triangle"];1008[label="xy400/()",fontsize=10,color="white",style="solid",shape="box"];347 -> 1008[label="",style="solid", color="burlywood", weight=9]; 17.47/6.50 1008 -> 366[label="",style="solid", color="burlywood", weight=3]; 17.47/6.50 348[label="xy400 == xy300",fontsize=16,color="burlywood",shape="triangle"];1009[label="xy400/(xy4000,xy4001)",fontsize=10,color="white",style="solid",shape="box"];348 -> 1009[label="",style="solid", color="burlywood", weight=9]; 17.47/6.50 1009 -> 367[label="",style="solid", color="burlywood", weight=3]; 17.47/6.50 349[label="xy400 == xy300",fontsize=16,color="burlywood",shape="triangle"];1010[label="xy400/Left xy4000",fontsize=10,color="white",style="solid",shape="box"];349 -> 1010[label="",style="solid", color="burlywood", weight=9]; 17.47/6.50 1010 -> 368[label="",style="solid", color="burlywood", weight=3]; 17.47/6.50 1011[label="xy400/Right xy4000",fontsize=10,color="white",style="solid",shape="box"];349 -> 1011[label="",style="solid", color="burlywood", weight=9]; 17.47/6.50 1011 -> 369[label="",style="solid", color="burlywood", weight=3]; 17.47/6.50 350[label="xy400 == xy300",fontsize=16,color="burlywood",shape="triangle"];1012[label="xy400/(xy4000,xy4001,xy4002)",fontsize=10,color="white",style="solid",shape="box"];350 -> 1012[label="",style="solid", color="burlywood", weight=9]; 17.47/6.50 1012 -> 370[label="",style="solid", color="burlywood", weight=3]; 17.47/6.50 351[label="xy400 == xy300",fontsize=16,color="burlywood",shape="triangle"];1013[label="xy400/Nothing",fontsize=10,color="white",style="solid",shape="box"];351 -> 1013[label="",style="solid", color="burlywood", weight=9]; 17.47/6.50 1013 -> 371[label="",style="solid", color="burlywood", weight=3]; 17.47/6.50 1014[label="xy400/Just xy4000",fontsize=10,color="white",style="solid",shape="box"];351 -> 1014[label="",style="solid", color="burlywood", weight=9]; 17.47/6.50 1014 -> 372[label="",style="solid", color="burlywood", weight=3]; 17.47/6.50 352[label="xy400 == xy300",fontsize=16,color="black",shape="triangle"];352 -> 373[label="",style="solid", color="black", weight=3]; 17.47/6.50 353[label="xy400 == xy300",fontsize=16,color="black",shape="triangle"];353 -> 374[label="",style="solid", color="black", weight=3]; 17.47/6.50 354[label="xy400 == xy300",fontsize=16,color="black",shape="triangle"];354 -> 375[label="",style="solid", color="black", weight=3]; 17.47/6.50 355 -> 342[label="",style="dashed", color="red", weight=0]; 17.47/6.50 355[label="xy400 == xy300",fontsize=16,color="magenta"];355 -> 376[label="",style="dashed", color="magenta", weight=3]; 17.47/6.50 355 -> 377[label="",style="dashed", color="magenta", weight=3]; 17.47/6.50 356[label="xy400 == xy300",fontsize=16,color="burlywood",shape="triangle"];1015[label="xy400/LT",fontsize=10,color="white",style="solid",shape="box"];356 -> 1015[label="",style="solid", color="burlywood", weight=9]; 17.47/6.50 1015 -> 378[label="",style="solid", color="burlywood", weight=3]; 17.47/6.50 1016[label="xy400/EQ",fontsize=10,color="white",style="solid",shape="box"];356 -> 1016[label="",style="solid", color="burlywood", weight=9]; 17.47/6.50 1016 -> 379[label="",style="solid", color="burlywood", weight=3]; 17.47/6.50 1017[label="xy400/GT",fontsize=10,color="white",style="solid",shape="box"];356 -> 1017[label="",style="solid", color="burlywood", weight=9]; 17.47/6.50 1017 -> 380[label="",style="solid", color="burlywood", weight=3]; 17.47/6.50 357[label="xy400 == xy300",fontsize=16,color="black",shape="triangle"];357 -> 381[label="",style="solid", color="black", weight=3]; 17.47/6.50 358[label="xy400 == xy300",fontsize=16,color="burlywood",shape="triangle"];1018[label="xy400/xy4000 :% xy4001",fontsize=10,color="white",style="solid",shape="box"];358 -> 1018[label="",style="solid", color="burlywood", weight=9]; 17.47/6.50 1018 -> 382[label="",style="solid", color="burlywood", weight=3]; 17.47/6.50 359[label="xy4010 : xy4011 == xy301",fontsize=16,color="burlywood",shape="box"];1019[label="xy301/xy3010 : xy3011",fontsize=10,color="white",style="solid",shape="box"];359 -> 1019[label="",style="solid", color="burlywood", weight=9]; 17.47/6.50 1019 -> 383[label="",style="solid", color="burlywood", weight=3]; 17.47/6.50 1020[label="xy301/[]",fontsize=10,color="white",style="solid",shape="box"];359 -> 1020[label="",style="solid", color="burlywood", weight=9]; 17.47/6.50 1020 -> 384[label="",style="solid", color="burlywood", weight=3]; 17.47/6.50 360[label="[] == xy301",fontsize=16,color="burlywood",shape="box"];1021[label="xy301/xy3010 : xy3011",fontsize=10,color="white",style="solid",shape="box"];360 -> 1021[label="",style="solid", color="burlywood", weight=9]; 17.47/6.50 1021 -> 385[label="",style="solid", color="burlywood", weight=3]; 17.47/6.50 1022[label="xy301/[]",fontsize=10,color="white",style="solid",shape="box"];360 -> 1022[label="",style="solid", color="burlywood", weight=9]; 17.47/6.50 1022 -> 386[label="",style="solid", color="burlywood", weight=3]; 17.47/6.50 361[label="False && xy31",fontsize=16,color="black",shape="box"];361 -> 387[label="",style="solid", color="black", weight=3]; 17.47/6.50 362[label="True && xy31",fontsize=16,color="black",shape="box"];362 -> 388[label="",style="solid", color="black", weight=3]; 17.47/6.50 150[label="(xy13 : xy14) : List.deleteBy (==) (xy15 : xy16) xy12",fontsize=16,color="green",shape="box"];150 -> 174[label="",style="dashed", color="green", weight=3]; 17.47/6.50 151[label="xy12",fontsize=16,color="green",shape="box"];78[label="xy400 : xy401",fontsize=16,color="green",shape="box"];79[label="xy31",fontsize=16,color="green",shape="box"];80[label="[]",fontsize=16,color="green",shape="box"];81[label="xy31",fontsize=16,color="green",shape="box"];363[label="False == xy300",fontsize=16,color="burlywood",shape="box"];1023[label="xy300/False",fontsize=10,color="white",style="solid",shape="box"];363 -> 1023[label="",style="solid", color="burlywood", weight=9]; 17.47/6.50 1023 -> 389[label="",style="solid", color="burlywood", weight=3]; 17.47/6.50 1024[label="xy300/True",fontsize=10,color="white",style="solid",shape="box"];363 -> 1024[label="",style="solid", color="burlywood", weight=9]; 17.47/6.50 1024 -> 390[label="",style="solid", color="burlywood", weight=3]; 17.47/6.50 364[label="True == xy300",fontsize=16,color="burlywood",shape="box"];1025[label="xy300/False",fontsize=10,color="white",style="solid",shape="box"];364 -> 1025[label="",style="solid", color="burlywood", weight=9]; 17.47/6.50 1025 -> 391[label="",style="solid", color="burlywood", weight=3]; 17.47/6.50 1026[label="xy300/True",fontsize=10,color="white",style="solid",shape="box"];364 -> 1026[label="",style="solid", color="burlywood", weight=9]; 17.47/6.50 1026 -> 392[label="",style="solid", color="burlywood", weight=3]; 17.47/6.50 365[label="Integer xy4000 == xy300",fontsize=16,color="burlywood",shape="box"];1027[label="xy300/Integer xy3000",fontsize=10,color="white",style="solid",shape="box"];365 -> 1027[label="",style="solid", color="burlywood", weight=9]; 17.47/6.50 1027 -> 393[label="",style="solid", color="burlywood", weight=3]; 17.47/6.50 366[label="() == xy300",fontsize=16,color="burlywood",shape="box"];1028[label="xy300/()",fontsize=10,color="white",style="solid",shape="box"];366 -> 1028[label="",style="solid", color="burlywood", weight=9]; 17.47/6.50 1028 -> 394[label="",style="solid", color="burlywood", weight=3]; 17.47/6.50 367[label="(xy4000,xy4001) == xy300",fontsize=16,color="burlywood",shape="box"];1029[label="xy300/(xy3000,xy3001)",fontsize=10,color="white",style="solid",shape="box"];367 -> 1029[label="",style="solid", color="burlywood", weight=9]; 17.47/6.50 1029 -> 395[label="",style="solid", color="burlywood", weight=3]; 17.47/6.50 368[label="Left xy4000 == xy300",fontsize=16,color="burlywood",shape="box"];1030[label="xy300/Left xy3000",fontsize=10,color="white",style="solid",shape="box"];368 -> 1030[label="",style="solid", color="burlywood", weight=9]; 17.47/6.50 1030 -> 396[label="",style="solid", color="burlywood", weight=3]; 17.47/6.50 1031[label="xy300/Right xy3000",fontsize=10,color="white",style="solid",shape="box"];368 -> 1031[label="",style="solid", color="burlywood", weight=9]; 17.47/6.50 1031 -> 397[label="",style="solid", color="burlywood", weight=3]; 17.47/6.50 369[label="Right xy4000 == xy300",fontsize=16,color="burlywood",shape="box"];1032[label="xy300/Left xy3000",fontsize=10,color="white",style="solid",shape="box"];369 -> 1032[label="",style="solid", color="burlywood", weight=9]; 17.47/6.50 1032 -> 398[label="",style="solid", color="burlywood", weight=3]; 17.47/6.50 1033[label="xy300/Right xy3000",fontsize=10,color="white",style="solid",shape="box"];369 -> 1033[label="",style="solid", color="burlywood", weight=9]; 17.47/6.50 1033 -> 399[label="",style="solid", color="burlywood", weight=3]; 17.47/6.50 370[label="(xy4000,xy4001,xy4002) == xy300",fontsize=16,color="burlywood",shape="box"];1034[label="xy300/(xy3000,xy3001,xy3002)",fontsize=10,color="white",style="solid",shape="box"];370 -> 1034[label="",style="solid", color="burlywood", weight=9]; 17.47/6.50 1034 -> 400[label="",style="solid", color="burlywood", weight=3]; 17.47/6.50 371[label="Nothing == xy300",fontsize=16,color="burlywood",shape="box"];1035[label="xy300/Nothing",fontsize=10,color="white",style="solid",shape="box"];371 -> 1035[label="",style="solid", color="burlywood", weight=9]; 17.47/6.50 1035 -> 401[label="",style="solid", color="burlywood", weight=3]; 17.47/6.50 1036[label="xy300/Just xy3000",fontsize=10,color="white",style="solid",shape="box"];371 -> 1036[label="",style="solid", color="burlywood", weight=9]; 17.47/6.50 1036 -> 402[label="",style="solid", color="burlywood", weight=3]; 17.47/6.50 372[label="Just xy4000 == xy300",fontsize=16,color="burlywood",shape="box"];1037[label="xy300/Nothing",fontsize=10,color="white",style="solid",shape="box"];372 -> 1037[label="",style="solid", color="burlywood", weight=9]; 17.47/6.50 1037 -> 403[label="",style="solid", color="burlywood", weight=3]; 17.47/6.50 1038[label="xy300/Just xy3000",fontsize=10,color="white",style="solid",shape="box"];372 -> 1038[label="",style="solid", color="burlywood", weight=9]; 17.47/6.50 1038 -> 404[label="",style="solid", color="burlywood", weight=3]; 17.47/6.50 373[label="primEqChar xy400 xy300",fontsize=16,color="burlywood",shape="box"];1039[label="xy400/Char xy4000",fontsize=10,color="white",style="solid",shape="box"];373 -> 1039[label="",style="solid", color="burlywood", weight=9]; 17.47/6.50 1039 -> 405[label="",style="solid", color="burlywood", weight=3]; 17.47/6.50 374[label="primEqInt xy400 xy300",fontsize=16,color="burlywood",shape="triangle"];1040[label="xy400/Pos xy4000",fontsize=10,color="white",style="solid",shape="box"];374 -> 1040[label="",style="solid", color="burlywood", weight=9]; 17.47/6.50 1040 -> 406[label="",style="solid", color="burlywood", weight=3]; 17.47/6.50 1041[label="xy400/Neg xy4000",fontsize=10,color="white",style="solid",shape="box"];374 -> 1041[label="",style="solid", color="burlywood", weight=9]; 17.47/6.50 1041 -> 407[label="",style="solid", color="burlywood", weight=3]; 17.47/6.50 375[label="primEqDouble xy400 xy300",fontsize=16,color="burlywood",shape="box"];1042[label="xy400/Double xy4000 xy4001",fontsize=10,color="white",style="solid",shape="box"];375 -> 1042[label="",style="solid", color="burlywood", weight=9]; 17.47/6.50 1042 -> 408[label="",style="solid", color="burlywood", weight=3]; 17.47/6.50 376[label="xy300",fontsize=16,color="green",shape="box"];377[label="xy400",fontsize=16,color="green",shape="box"];378[label="LT == xy300",fontsize=16,color="burlywood",shape="box"];1043[label="xy300/LT",fontsize=10,color="white",style="solid",shape="box"];378 -> 1043[label="",style="solid", color="burlywood", weight=9]; 17.47/6.50 1043 -> 409[label="",style="solid", color="burlywood", weight=3]; 17.47/6.50 1044[label="xy300/EQ",fontsize=10,color="white",style="solid",shape="box"];378 -> 1044[label="",style="solid", color="burlywood", weight=9]; 17.47/6.50 1044 -> 410[label="",style="solid", color="burlywood", weight=3]; 17.47/6.50 1045[label="xy300/GT",fontsize=10,color="white",style="solid",shape="box"];378 -> 1045[label="",style="solid", color="burlywood", weight=9]; 17.47/6.50 1045 -> 411[label="",style="solid", color="burlywood", weight=3]; 17.47/6.50 379[label="EQ == xy300",fontsize=16,color="burlywood",shape="box"];1046[label="xy300/LT",fontsize=10,color="white",style="solid",shape="box"];379 -> 1046[label="",style="solid", color="burlywood", weight=9]; 17.47/6.50 1046 -> 412[label="",style="solid", color="burlywood", weight=3]; 17.47/6.50 1047[label="xy300/EQ",fontsize=10,color="white",style="solid",shape="box"];379 -> 1047[label="",style="solid", color="burlywood", weight=9]; 17.47/6.50 1047 -> 413[label="",style="solid", color="burlywood", weight=3]; 17.47/6.50 1048[label="xy300/GT",fontsize=10,color="white",style="solid",shape="box"];379 -> 1048[label="",style="solid", color="burlywood", weight=9]; 17.47/6.50 1048 -> 414[label="",style="solid", color="burlywood", weight=3]; 17.47/6.50 380[label="GT == xy300",fontsize=16,color="burlywood",shape="box"];1049[label="xy300/LT",fontsize=10,color="white",style="solid",shape="box"];380 -> 1049[label="",style="solid", color="burlywood", weight=9]; 17.47/6.50 1049 -> 415[label="",style="solid", color="burlywood", weight=3]; 17.47/6.50 1050[label="xy300/EQ",fontsize=10,color="white",style="solid",shape="box"];380 -> 1050[label="",style="solid", color="burlywood", weight=9]; 17.47/6.50 1050 -> 416[label="",style="solid", color="burlywood", weight=3]; 17.47/6.50 1051[label="xy300/GT",fontsize=10,color="white",style="solid",shape="box"];380 -> 1051[label="",style="solid", color="burlywood", weight=9]; 17.47/6.50 1051 -> 417[label="",style="solid", color="burlywood", weight=3]; 17.47/6.50 381[label="primEqFloat xy400 xy300",fontsize=16,color="burlywood",shape="box"];1052[label="xy400/Float xy4000 xy4001",fontsize=10,color="white",style="solid",shape="box"];381 -> 1052[label="",style="solid", color="burlywood", weight=9]; 17.47/6.50 1052 -> 418[label="",style="solid", color="burlywood", weight=3]; 17.47/6.50 382[label="xy4000 :% xy4001 == xy300",fontsize=16,color="burlywood",shape="box"];1053[label="xy300/xy3000 :% xy3001",fontsize=10,color="white",style="solid",shape="box"];382 -> 1053[label="",style="solid", color="burlywood", weight=9]; 17.47/6.50 1053 -> 419[label="",style="solid", color="burlywood", weight=3]; 17.47/6.50 383[label="xy4010 : xy4011 == xy3010 : xy3011",fontsize=16,color="black",shape="box"];383 -> 420[label="",style="solid", color="black", weight=3]; 17.47/6.50 384[label="xy4010 : xy4011 == []",fontsize=16,color="black",shape="box"];384 -> 421[label="",style="solid", color="black", weight=3]; 17.47/6.50 385[label="[] == xy3010 : xy3011",fontsize=16,color="black",shape="box"];385 -> 422[label="",style="solid", color="black", weight=3]; 17.47/6.50 386[label="[] == []",fontsize=16,color="black",shape="box"];386 -> 423[label="",style="solid", color="black", weight=3]; 17.47/6.50 387[label="False",fontsize=16,color="green",shape="box"];388[label="xy31",fontsize=16,color="green",shape="box"];174 -> 13[label="",style="dashed", color="red", weight=0]; 17.47/6.50 174[label="List.deleteBy (==) (xy15 : xy16) xy12",fontsize=16,color="magenta"];174 -> 224[label="",style="dashed", color="magenta", weight=3]; 17.47/6.50 174 -> 225[label="",style="dashed", color="magenta", weight=3]; 17.47/6.50 389[label="False == False",fontsize=16,color="black",shape="box"];389 -> 424[label="",style="solid", color="black", weight=3]; 17.47/6.50 390[label="False == True",fontsize=16,color="black",shape="box"];390 -> 425[label="",style="solid", color="black", weight=3]; 17.47/6.50 391[label="True == False",fontsize=16,color="black",shape="box"];391 -> 426[label="",style="solid", color="black", weight=3]; 17.47/6.50 392[label="True == True",fontsize=16,color="black",shape="box"];392 -> 427[label="",style="solid", color="black", weight=3]; 17.47/6.50 393[label="Integer xy4000 == Integer xy3000",fontsize=16,color="black",shape="box"];393 -> 428[label="",style="solid", color="black", weight=3]; 17.47/6.50 394[label="() == ()",fontsize=16,color="black",shape="box"];394 -> 429[label="",style="solid", color="black", weight=3]; 17.47/6.50 395[label="(xy4000,xy4001) == (xy3000,xy3001)",fontsize=16,color="black",shape="box"];395 -> 430[label="",style="solid", color="black", weight=3]; 17.47/6.50 396[label="Left xy4000 == Left xy3000",fontsize=16,color="black",shape="box"];396 -> 431[label="",style="solid", color="black", weight=3]; 17.47/6.50 397[label="Left xy4000 == Right xy3000",fontsize=16,color="black",shape="box"];397 -> 432[label="",style="solid", color="black", weight=3]; 17.47/6.50 398[label="Right xy4000 == Left xy3000",fontsize=16,color="black",shape="box"];398 -> 433[label="",style="solid", color="black", weight=3]; 17.47/6.50 399[label="Right xy4000 == Right xy3000",fontsize=16,color="black",shape="box"];399 -> 434[label="",style="solid", color="black", weight=3]; 17.47/6.50 400[label="(xy4000,xy4001,xy4002) == (xy3000,xy3001,xy3002)",fontsize=16,color="black",shape="box"];400 -> 435[label="",style="solid", color="black", weight=3]; 17.47/6.50 401[label="Nothing == Nothing",fontsize=16,color="black",shape="box"];401 -> 436[label="",style="solid", color="black", weight=3]; 17.47/6.50 402[label="Nothing == Just xy3000",fontsize=16,color="black",shape="box"];402 -> 437[label="",style="solid", color="black", weight=3]; 17.47/6.50 403[label="Just xy4000 == Nothing",fontsize=16,color="black",shape="box"];403 -> 438[label="",style="solid", color="black", weight=3]; 17.47/6.50 404[label="Just xy4000 == Just xy3000",fontsize=16,color="black",shape="box"];404 -> 439[label="",style="solid", color="black", weight=3]; 17.47/6.50 405[label="primEqChar (Char xy4000) xy300",fontsize=16,color="burlywood",shape="box"];1054[label="xy300/Char xy3000",fontsize=10,color="white",style="solid",shape="box"];405 -> 1054[label="",style="solid", color="burlywood", weight=9]; 17.47/6.50 1054 -> 440[label="",style="solid", color="burlywood", weight=3]; 17.47/6.50 406[label="primEqInt (Pos xy4000) xy300",fontsize=16,color="burlywood",shape="box"];1055[label="xy4000/Succ xy40000",fontsize=10,color="white",style="solid",shape="box"];406 -> 1055[label="",style="solid", color="burlywood", weight=9]; 17.47/6.50 1055 -> 441[label="",style="solid", color="burlywood", weight=3]; 17.47/6.50 1056[label="xy4000/Zero",fontsize=10,color="white",style="solid",shape="box"];406 -> 1056[label="",style="solid", color="burlywood", weight=9]; 17.47/6.50 1056 -> 442[label="",style="solid", color="burlywood", weight=3]; 17.47/6.50 407[label="primEqInt (Neg xy4000) xy300",fontsize=16,color="burlywood",shape="box"];1057[label="xy4000/Succ xy40000",fontsize=10,color="white",style="solid",shape="box"];407 -> 1057[label="",style="solid", color="burlywood", weight=9]; 17.47/6.50 1057 -> 443[label="",style="solid", color="burlywood", weight=3]; 17.47/6.50 1058[label="xy4000/Zero",fontsize=10,color="white",style="solid",shape="box"];407 -> 1058[label="",style="solid", color="burlywood", weight=9]; 17.47/6.50 1058 -> 444[label="",style="solid", color="burlywood", weight=3]; 17.47/6.50 408[label="primEqDouble (Double xy4000 xy4001) xy300",fontsize=16,color="burlywood",shape="box"];1059[label="xy300/Double xy3000 xy3001",fontsize=10,color="white",style="solid",shape="box"];408 -> 1059[label="",style="solid", color="burlywood", weight=9]; 17.47/6.50 1059 -> 445[label="",style="solid", color="burlywood", weight=3]; 17.47/6.50 409[label="LT == LT",fontsize=16,color="black",shape="box"];409 -> 446[label="",style="solid", color="black", weight=3]; 17.47/6.50 410[label="LT == EQ",fontsize=16,color="black",shape="box"];410 -> 447[label="",style="solid", color="black", weight=3]; 17.47/6.50 411[label="LT == GT",fontsize=16,color="black",shape="box"];411 -> 448[label="",style="solid", color="black", weight=3]; 17.47/6.50 412[label="EQ == LT",fontsize=16,color="black",shape="box"];412 -> 449[label="",style="solid", color="black", weight=3]; 17.47/6.50 413[label="EQ == EQ",fontsize=16,color="black",shape="box"];413 -> 450[label="",style="solid", color="black", weight=3]; 17.47/6.50 414[label="EQ == GT",fontsize=16,color="black",shape="box"];414 -> 451[label="",style="solid", color="black", weight=3]; 17.47/6.50 415[label="GT == LT",fontsize=16,color="black",shape="box"];415 -> 452[label="",style="solid", color="black", weight=3]; 17.47/6.50 416[label="GT == EQ",fontsize=16,color="black",shape="box"];416 -> 453[label="",style="solid", color="black", weight=3]; 17.47/6.50 417[label="GT == GT",fontsize=16,color="black",shape="box"];417 -> 454[label="",style="solid", color="black", weight=3]; 17.47/6.50 418[label="primEqFloat (Float xy4000 xy4001) xy300",fontsize=16,color="burlywood",shape="box"];1060[label="xy300/Float xy3000 xy3001",fontsize=10,color="white",style="solid",shape="box"];418 -> 1060[label="",style="solid", color="burlywood", weight=9]; 17.47/6.50 1060 -> 455[label="",style="solid", color="burlywood", weight=3]; 17.47/6.50 419[label="xy4000 :% xy4001 == xy3000 :% xy3001",fontsize=16,color="black",shape="box"];419 -> 456[label="",style="solid", color="black", weight=3]; 17.47/6.50 420 -> 340[label="",style="dashed", color="red", weight=0]; 17.47/6.50 420[label="xy4010 == xy3010 && xy4011 == xy3011",fontsize=16,color="magenta"];420 -> 457[label="",style="dashed", color="magenta", weight=3]; 17.47/6.50 420 -> 458[label="",style="dashed", color="magenta", weight=3]; 17.47/6.50 421[label="False",fontsize=16,color="green",shape="box"];422[label="False",fontsize=16,color="green",shape="box"];423[label="True",fontsize=16,color="green",shape="box"];224[label="xy15 : xy16",fontsize=16,color="green",shape="box"];225[label="xy12",fontsize=16,color="green",shape="box"];424[label="True",fontsize=16,color="green",shape="box"];425[label="False",fontsize=16,color="green",shape="box"];426[label="False",fontsize=16,color="green",shape="box"];427[label="True",fontsize=16,color="green",shape="box"];428 -> 374[label="",style="dashed", color="red", weight=0]; 17.47/6.50 428[label="primEqInt xy4000 xy3000",fontsize=16,color="magenta"];428 -> 459[label="",style="dashed", color="magenta", weight=3]; 17.47/6.50 428 -> 460[label="",style="dashed", color="magenta", weight=3]; 17.47/6.50 429[label="True",fontsize=16,color="green",shape="box"];430 -> 340[label="",style="dashed", color="red", weight=0]; 17.47/6.50 430[label="xy4000 == xy3000 && xy4001 == xy3001",fontsize=16,color="magenta"];430 -> 461[label="",style="dashed", color="magenta", weight=3]; 17.47/6.50 430 -> 462[label="",style="dashed", color="magenta", weight=3]; 17.47/6.50 431[label="xy4000 == xy3000",fontsize=16,color="blue",shape="box"];1061[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];431 -> 1061[label="",style="solid", color="blue", weight=9]; 17.47/6.50 1061 -> 463[label="",style="solid", color="blue", weight=3]; 17.47/6.50 1062[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];431 -> 1062[label="",style="solid", color="blue", weight=9]; 17.47/6.50 1062 -> 464[label="",style="solid", color="blue", weight=3]; 17.47/6.50 1063[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];431 -> 1063[label="",style="solid", color="blue", weight=9]; 17.47/6.50 1063 -> 465[label="",style="solid", color="blue", weight=3]; 17.47/6.50 1064[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];431 -> 1064[label="",style="solid", color="blue", weight=9]; 17.47/6.50 1064 -> 466[label="",style="solid", color="blue", weight=3]; 17.47/6.50 1065[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];431 -> 1065[label="",style="solid", color="blue", weight=9]; 17.47/6.50 1065 -> 467[label="",style="solid", color="blue", weight=3]; 17.47/6.50 1066[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];431 -> 1066[label="",style="solid", color="blue", weight=9]; 17.47/6.50 1066 -> 468[label="",style="solid", color="blue", weight=3]; 17.47/6.50 1067[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];431 -> 1067[label="",style="solid", color="blue", weight=9]; 17.47/6.50 1067 -> 469[label="",style="solid", color="blue", weight=3]; 17.47/6.50 1068[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];431 -> 1068[label="",style="solid", color="blue", weight=9]; 17.47/6.50 1068 -> 470[label="",style="solid", color="blue", weight=3]; 17.47/6.50 1069[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];431 -> 1069[label="",style="solid", color="blue", weight=9]; 17.47/6.50 1069 -> 471[label="",style="solid", color="blue", weight=3]; 17.47/6.50 1070[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];431 -> 1070[label="",style="solid", color="blue", weight=9]; 17.47/6.50 1070 -> 472[label="",style="solid", color="blue", weight=3]; 17.47/6.50 1071[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];431 -> 1071[label="",style="solid", color="blue", weight=9]; 17.47/6.50 1071 -> 473[label="",style="solid", color="blue", weight=3]; 17.47/6.50 1072[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];431 -> 1072[label="",style="solid", color="blue", weight=9]; 17.47/6.50 1072 -> 474[label="",style="solid", color="blue", weight=3]; 17.47/6.50 1073[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];431 -> 1073[label="",style="solid", color="blue", weight=9]; 17.47/6.50 1073 -> 475[label="",style="solid", color="blue", weight=3]; 17.47/6.50 1074[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];431 -> 1074[label="",style="solid", color="blue", weight=9]; 17.47/6.50 1074 -> 476[label="",style="solid", color="blue", weight=3]; 17.47/6.50 432[label="False",fontsize=16,color="green",shape="box"];433[label="False",fontsize=16,color="green",shape="box"];434[label="xy4000 == xy3000",fontsize=16,color="blue",shape="box"];1075[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];434 -> 1075[label="",style="solid", color="blue", weight=9]; 17.47/6.50 1075 -> 477[label="",style="solid", color="blue", weight=3]; 17.47/6.50 1076[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];434 -> 1076[label="",style="solid", color="blue", weight=9]; 17.47/6.50 1076 -> 478[label="",style="solid", color="blue", weight=3]; 17.47/6.50 1077[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];434 -> 1077[label="",style="solid", color="blue", weight=9]; 17.47/6.50 1077 -> 479[label="",style="solid", color="blue", weight=3]; 17.47/6.50 1078[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];434 -> 1078[label="",style="solid", color="blue", weight=9]; 17.47/6.50 1078 -> 480[label="",style="solid", color="blue", weight=3]; 17.47/6.50 1079[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];434 -> 1079[label="",style="solid", color="blue", weight=9]; 17.47/6.50 1079 -> 481[label="",style="solid", color="blue", weight=3]; 17.47/6.50 1080[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];434 -> 1080[label="",style="solid", color="blue", weight=9]; 17.47/6.50 1080 -> 482[label="",style="solid", color="blue", weight=3]; 17.47/6.50 1081[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];434 -> 1081[label="",style="solid", color="blue", weight=9]; 17.47/6.50 1081 -> 483[label="",style="solid", color="blue", weight=3]; 17.47/6.50 1082[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];434 -> 1082[label="",style="solid", color="blue", weight=9]; 17.47/6.50 1082 -> 484[label="",style="solid", color="blue", weight=3]; 17.47/6.50 1083[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];434 -> 1083[label="",style="solid", color="blue", weight=9]; 17.47/6.50 1083 -> 485[label="",style="solid", color="blue", weight=3]; 17.47/6.50 1084[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];434 -> 1084[label="",style="solid", color="blue", weight=9]; 17.47/6.50 1084 -> 486[label="",style="solid", color="blue", weight=3]; 17.47/6.50 1085[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];434 -> 1085[label="",style="solid", color="blue", weight=9]; 17.47/6.50 1085 -> 487[label="",style="solid", color="blue", weight=3]; 17.47/6.50 1086[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];434 -> 1086[label="",style="solid", color="blue", weight=9]; 17.47/6.50 1086 -> 488[label="",style="solid", color="blue", weight=3]; 17.47/6.50 1087[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];434 -> 1087[label="",style="solid", color="blue", weight=9]; 17.47/6.50 1087 -> 489[label="",style="solid", color="blue", weight=3]; 17.47/6.50 1088[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];434 -> 1088[label="",style="solid", color="blue", weight=9]; 17.47/6.50 1088 -> 490[label="",style="solid", color="blue", weight=3]; 17.47/6.50 435 -> 340[label="",style="dashed", color="red", weight=0]; 17.47/6.50 435[label="xy4000 == xy3000 && xy4001 == xy3001 && xy4002 == xy3002",fontsize=16,color="magenta"];435 -> 491[label="",style="dashed", color="magenta", weight=3]; 17.47/6.50 435 -> 492[label="",style="dashed", color="magenta", weight=3]; 17.47/6.50 436[label="True",fontsize=16,color="green",shape="box"];437[label="False",fontsize=16,color="green",shape="box"];438[label="False",fontsize=16,color="green",shape="box"];439[label="xy4000 == xy3000",fontsize=16,color="blue",shape="box"];1089[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];439 -> 1089[label="",style="solid", color="blue", weight=9]; 17.47/6.50 1089 -> 493[label="",style="solid", color="blue", weight=3]; 17.47/6.50 1090[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];439 -> 1090[label="",style="solid", color="blue", weight=9]; 17.47/6.50 1090 -> 494[label="",style="solid", color="blue", weight=3]; 17.47/6.50 1091[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];439 -> 1091[label="",style="solid", color="blue", weight=9]; 17.47/6.50 1091 -> 495[label="",style="solid", color="blue", weight=3]; 17.47/6.50 1092[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];439 -> 1092[label="",style="solid", color="blue", weight=9]; 17.47/6.50 1092 -> 496[label="",style="solid", color="blue", weight=3]; 17.47/6.50 1093[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];439 -> 1093[label="",style="solid", color="blue", weight=9]; 17.47/6.50 1093 -> 497[label="",style="solid", color="blue", weight=3]; 17.47/6.50 1094[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];439 -> 1094[label="",style="solid", color="blue", weight=9]; 17.47/6.50 1094 -> 498[label="",style="solid", color="blue", weight=3]; 17.47/6.50 1095[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];439 -> 1095[label="",style="solid", color="blue", weight=9]; 17.47/6.50 1095 -> 499[label="",style="solid", color="blue", weight=3]; 17.47/6.50 1096[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];439 -> 1096[label="",style="solid", color="blue", weight=9]; 17.47/6.50 1096 -> 500[label="",style="solid", color="blue", weight=3]; 17.47/6.50 1097[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];439 -> 1097[label="",style="solid", color="blue", weight=9]; 17.47/6.50 1097 -> 501[label="",style="solid", color="blue", weight=3]; 17.47/6.50 1098[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];439 -> 1098[label="",style="solid", color="blue", weight=9]; 17.47/6.50 1098 -> 502[label="",style="solid", color="blue", weight=3]; 17.47/6.50 1099[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];439 -> 1099[label="",style="solid", color="blue", weight=9]; 17.47/6.50 1099 -> 503[label="",style="solid", color="blue", weight=3]; 17.47/6.50 1100[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];439 -> 1100[label="",style="solid", color="blue", weight=9]; 17.47/6.50 1100 -> 504[label="",style="solid", color="blue", weight=3]; 17.47/6.50 1101[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];439 -> 1101[label="",style="solid", color="blue", weight=9]; 17.47/6.50 1101 -> 505[label="",style="solid", color="blue", weight=3]; 17.47/6.50 1102[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];439 -> 1102[label="",style="solid", color="blue", weight=9]; 17.47/6.50 1102 -> 506[label="",style="solid", color="blue", weight=3]; 17.47/6.50 440[label="primEqChar (Char xy4000) (Char xy3000)",fontsize=16,color="black",shape="box"];440 -> 507[label="",style="solid", color="black", weight=3]; 17.47/6.50 441[label="primEqInt (Pos (Succ xy40000)) xy300",fontsize=16,color="burlywood",shape="box"];1103[label="xy300/Pos xy3000",fontsize=10,color="white",style="solid",shape="box"];441 -> 1103[label="",style="solid", color="burlywood", weight=9]; 17.47/6.50 1103 -> 508[label="",style="solid", color="burlywood", weight=3]; 17.47/6.50 1104[label="xy300/Neg xy3000",fontsize=10,color="white",style="solid",shape="box"];441 -> 1104[label="",style="solid", color="burlywood", weight=9]; 17.47/6.50 1104 -> 509[label="",style="solid", color="burlywood", weight=3]; 17.47/6.50 442[label="primEqInt (Pos Zero) xy300",fontsize=16,color="burlywood",shape="box"];1105[label="xy300/Pos xy3000",fontsize=10,color="white",style="solid",shape="box"];442 -> 1105[label="",style="solid", color="burlywood", weight=9]; 17.47/6.50 1105 -> 510[label="",style="solid", color="burlywood", weight=3]; 17.47/6.50 1106[label="xy300/Neg xy3000",fontsize=10,color="white",style="solid",shape="box"];442 -> 1106[label="",style="solid", color="burlywood", weight=9]; 17.47/6.50 1106 -> 511[label="",style="solid", color="burlywood", weight=3]; 17.47/6.50 443[label="primEqInt (Neg (Succ xy40000)) xy300",fontsize=16,color="burlywood",shape="box"];1107[label="xy300/Pos xy3000",fontsize=10,color="white",style="solid",shape="box"];443 -> 1107[label="",style="solid", color="burlywood", weight=9]; 17.47/6.50 1107 -> 512[label="",style="solid", color="burlywood", weight=3]; 17.47/6.50 1108[label="xy300/Neg xy3000",fontsize=10,color="white",style="solid",shape="box"];443 -> 1108[label="",style="solid", color="burlywood", weight=9]; 17.47/6.50 1108 -> 513[label="",style="solid", color="burlywood", weight=3]; 17.47/6.50 444[label="primEqInt (Neg Zero) xy300",fontsize=16,color="burlywood",shape="box"];1109[label="xy300/Pos xy3000",fontsize=10,color="white",style="solid",shape="box"];444 -> 1109[label="",style="solid", color="burlywood", weight=9]; 17.47/6.50 1109 -> 514[label="",style="solid", color="burlywood", weight=3]; 17.47/6.50 1110[label="xy300/Neg xy3000",fontsize=10,color="white",style="solid",shape="box"];444 -> 1110[label="",style="solid", color="burlywood", weight=9]; 17.47/6.50 1110 -> 515[label="",style="solid", color="burlywood", weight=3]; 17.47/6.50 445[label="primEqDouble (Double xy4000 xy4001) (Double xy3000 xy3001)",fontsize=16,color="black",shape="box"];445 -> 516[label="",style="solid", color="black", weight=3]; 17.47/6.50 446[label="True",fontsize=16,color="green",shape="box"];447[label="False",fontsize=16,color="green",shape="box"];448[label="False",fontsize=16,color="green",shape="box"];449[label="False",fontsize=16,color="green",shape="box"];450[label="True",fontsize=16,color="green",shape="box"];451[label="False",fontsize=16,color="green",shape="box"];452[label="False",fontsize=16,color="green",shape="box"];453[label="False",fontsize=16,color="green",shape="box"];454[label="True",fontsize=16,color="green",shape="box"];455[label="primEqFloat (Float xy4000 xy4001) (Float xy3000 xy3001)",fontsize=16,color="black",shape="box"];455 -> 517[label="",style="solid", color="black", weight=3]; 17.47/6.50 456 -> 340[label="",style="dashed", color="red", weight=0]; 17.47/6.50 456[label="xy4000 == xy3000 && xy4001 == xy3001",fontsize=16,color="magenta"];456 -> 518[label="",style="dashed", color="magenta", weight=3]; 17.47/6.50 456 -> 519[label="",style="dashed", color="magenta", weight=3]; 17.47/6.50 457[label="xy4010 == xy3010",fontsize=16,color="blue",shape="box"];1111[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];457 -> 1111[label="",style="solid", color="blue", weight=9]; 17.47/6.50 1111 -> 520[label="",style="solid", color="blue", weight=3]; 17.47/6.50 1112[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];457 -> 1112[label="",style="solid", color="blue", weight=9]; 17.47/6.50 1112 -> 521[label="",style="solid", color="blue", weight=3]; 17.47/6.50 1113[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];457 -> 1113[label="",style="solid", color="blue", weight=9]; 17.47/6.50 1113 -> 522[label="",style="solid", color="blue", weight=3]; 17.47/6.50 1114[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];457 -> 1114[label="",style="solid", color="blue", weight=9]; 17.47/6.50 1114 -> 523[label="",style="solid", color="blue", weight=3]; 17.47/6.50 1115[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];457 -> 1115[label="",style="solid", color="blue", weight=9]; 17.47/6.50 1115 -> 524[label="",style="solid", color="blue", weight=3]; 17.47/6.50 1116[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];457 -> 1116[label="",style="solid", color="blue", weight=9]; 17.47/6.50 1116 -> 525[label="",style="solid", color="blue", weight=3]; 17.47/6.50 1117[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];457 -> 1117[label="",style="solid", color="blue", weight=9]; 17.47/6.50 1117 -> 526[label="",style="solid", color="blue", weight=3]; 17.47/6.50 1118[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];457 -> 1118[label="",style="solid", color="blue", weight=9]; 17.47/6.50 1118 -> 527[label="",style="solid", color="blue", weight=3]; 17.47/6.50 1119[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];457 -> 1119[label="",style="solid", color="blue", weight=9]; 17.47/6.50 1119 -> 528[label="",style="solid", color="blue", weight=3]; 17.47/6.50 1120[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];457 -> 1120[label="",style="solid", color="blue", weight=9]; 17.47/6.50 1120 -> 529[label="",style="solid", color="blue", weight=3]; 17.47/6.50 1121[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];457 -> 1121[label="",style="solid", color="blue", weight=9]; 17.47/6.50 1121 -> 530[label="",style="solid", color="blue", weight=3]; 17.47/6.50 1122[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];457 -> 1122[label="",style="solid", color="blue", weight=9]; 17.47/6.50 1122 -> 531[label="",style="solid", color="blue", weight=3]; 17.47/6.50 1123[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];457 -> 1123[label="",style="solid", color="blue", weight=9]; 17.47/6.50 1123 -> 532[label="",style="solid", color="blue", weight=3]; 17.47/6.50 1124[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];457 -> 1124[label="",style="solid", color="blue", weight=9]; 17.47/6.50 1124 -> 533[label="",style="solid", color="blue", weight=3]; 17.47/6.50 458 -> 342[label="",style="dashed", color="red", weight=0]; 17.47/6.50 458[label="xy4011 == xy3011",fontsize=16,color="magenta"];458 -> 534[label="",style="dashed", color="magenta", weight=3]; 17.47/6.50 458 -> 535[label="",style="dashed", color="magenta", weight=3]; 17.47/6.50 459[label="xy3000",fontsize=16,color="green",shape="box"];460[label="xy4000",fontsize=16,color="green",shape="box"];461[label="xy4000 == xy3000",fontsize=16,color="blue",shape="box"];1125[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];461 -> 1125[label="",style="solid", color="blue", weight=9]; 17.47/6.50 1125 -> 536[label="",style="solid", color="blue", weight=3]; 17.47/6.50 1126[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];461 -> 1126[label="",style="solid", color="blue", weight=9]; 17.47/6.50 1126 -> 537[label="",style="solid", color="blue", weight=3]; 17.47/6.50 1127[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];461 -> 1127[label="",style="solid", color="blue", weight=9]; 17.47/6.50 1127 -> 538[label="",style="solid", color="blue", weight=3]; 17.47/6.50 1128[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];461 -> 1128[label="",style="solid", color="blue", weight=9]; 17.47/6.50 1128 -> 539[label="",style="solid", color="blue", weight=3]; 17.47/6.50 1129[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];461 -> 1129[label="",style="solid", color="blue", weight=9]; 17.47/6.50 1129 -> 540[label="",style="solid", color="blue", weight=3]; 17.47/6.50 1130[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];461 -> 1130[label="",style="solid", color="blue", weight=9]; 17.47/6.50 1130 -> 541[label="",style="solid", color="blue", weight=3]; 17.47/6.50 1131[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];461 -> 1131[label="",style="solid", color="blue", weight=9]; 17.47/6.50 1131 -> 542[label="",style="solid", color="blue", weight=3]; 17.47/6.50 1132[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];461 -> 1132[label="",style="solid", color="blue", weight=9]; 17.47/6.50 1132 -> 543[label="",style="solid", color="blue", weight=3]; 17.47/6.50 1133[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];461 -> 1133[label="",style="solid", color="blue", weight=9]; 17.47/6.50 1133 -> 544[label="",style="solid", color="blue", weight=3]; 17.47/6.50 1134[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];461 -> 1134[label="",style="solid", color="blue", weight=9]; 17.47/6.50 1134 -> 545[label="",style="solid", color="blue", weight=3]; 17.47/6.50 1135[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];461 -> 1135[label="",style="solid", color="blue", weight=9]; 17.47/6.50 1135 -> 546[label="",style="solid", color="blue", weight=3]; 17.47/6.50 1136[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];461 -> 1136[label="",style="solid", color="blue", weight=9]; 17.47/6.50 1136 -> 547[label="",style="solid", color="blue", weight=3]; 17.47/6.50 1137[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];461 -> 1137[label="",style="solid", color="blue", weight=9]; 17.47/6.50 1137 -> 548[label="",style="solid", color="blue", weight=3]; 17.47/6.50 1138[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];461 -> 1138[label="",style="solid", color="blue", weight=9]; 17.47/6.50 1138 -> 549[label="",style="solid", color="blue", weight=3]; 17.47/6.50 462[label="xy4001 == xy3001",fontsize=16,color="blue",shape="box"];1139[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];462 -> 1139[label="",style="solid", color="blue", weight=9]; 17.47/6.50 1139 -> 550[label="",style="solid", color="blue", weight=3]; 17.47/6.50 1140[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];462 -> 1140[label="",style="solid", color="blue", weight=9]; 17.47/6.50 1140 -> 551[label="",style="solid", color="blue", weight=3]; 17.47/6.50 1141[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];462 -> 1141[label="",style="solid", color="blue", weight=9]; 17.47/6.50 1141 -> 552[label="",style="solid", color="blue", weight=3]; 17.47/6.50 1142[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];462 -> 1142[label="",style="solid", color="blue", weight=9]; 17.47/6.50 1142 -> 553[label="",style="solid", color="blue", weight=3]; 17.47/6.50 1143[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];462 -> 1143[label="",style="solid", color="blue", weight=9]; 17.47/6.50 1143 -> 554[label="",style="solid", color="blue", weight=3]; 17.47/6.50 1144[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];462 -> 1144[label="",style="solid", color="blue", weight=9]; 17.47/6.50 1144 -> 555[label="",style="solid", color="blue", weight=3]; 17.47/6.50 1145[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];462 -> 1145[label="",style="solid", color="blue", weight=9]; 17.47/6.50 1145 -> 556[label="",style="solid", color="blue", weight=3]; 17.47/6.50 1146[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];462 -> 1146[label="",style="solid", color="blue", weight=9]; 17.47/6.50 1146 -> 557[label="",style="solid", color="blue", weight=3]; 17.47/6.50 1147[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];462 -> 1147[label="",style="solid", color="blue", weight=9]; 17.47/6.50 1147 -> 558[label="",style="solid", color="blue", weight=3]; 17.47/6.50 1148[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];462 -> 1148[label="",style="solid", color="blue", weight=9]; 17.47/6.50 1148 -> 559[label="",style="solid", color="blue", weight=3]; 17.47/6.50 1149[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];462 -> 1149[label="",style="solid", color="blue", weight=9]; 17.47/6.50 1149 -> 560[label="",style="solid", color="blue", weight=3]; 17.47/6.50 1150[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];462 -> 1150[label="",style="solid", color="blue", weight=9]; 17.47/6.50 1150 -> 561[label="",style="solid", color="blue", weight=3]; 17.47/6.50 1151[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];462 -> 1151[label="",style="solid", color="blue", weight=9]; 17.47/6.50 1151 -> 562[label="",style="solid", color="blue", weight=3]; 17.47/6.50 1152[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];462 -> 1152[label="",style="solid", color="blue", weight=9]; 17.47/6.50 1152 -> 563[label="",style="solid", color="blue", weight=3]; 17.47/6.50 463 -> 345[label="",style="dashed", color="red", weight=0]; 17.47/6.50 463[label="xy4000 == xy3000",fontsize=16,color="magenta"];463 -> 564[label="",style="dashed", color="magenta", weight=3]; 17.47/6.50 463 -> 565[label="",style="dashed", color="magenta", weight=3]; 17.47/6.50 464 -> 346[label="",style="dashed", color="red", weight=0]; 17.47/6.50 464[label="xy4000 == xy3000",fontsize=16,color="magenta"];464 -> 566[label="",style="dashed", color="magenta", weight=3]; 17.47/6.50 464 -> 567[label="",style="dashed", color="magenta", weight=3]; 17.47/6.50 465 -> 347[label="",style="dashed", color="red", weight=0]; 17.47/6.50 465[label="xy4000 == xy3000",fontsize=16,color="magenta"];465 -> 568[label="",style="dashed", color="magenta", weight=3]; 17.47/6.50 465 -> 569[label="",style="dashed", color="magenta", weight=3]; 17.47/6.50 466 -> 348[label="",style="dashed", color="red", weight=0]; 17.47/6.50 466[label="xy4000 == xy3000",fontsize=16,color="magenta"];466 -> 570[label="",style="dashed", color="magenta", weight=3]; 17.47/6.50 466 -> 571[label="",style="dashed", color="magenta", weight=3]; 17.47/6.50 467 -> 349[label="",style="dashed", color="red", weight=0]; 17.47/6.50 467[label="xy4000 == xy3000",fontsize=16,color="magenta"];467 -> 572[label="",style="dashed", color="magenta", weight=3]; 17.47/6.50 467 -> 573[label="",style="dashed", color="magenta", weight=3]; 17.47/6.50 468 -> 350[label="",style="dashed", color="red", weight=0]; 17.47/6.50 468[label="xy4000 == xy3000",fontsize=16,color="magenta"];468 -> 574[label="",style="dashed", color="magenta", weight=3]; 17.47/6.50 468 -> 575[label="",style="dashed", color="magenta", weight=3]; 17.47/6.50 469 -> 351[label="",style="dashed", color="red", weight=0]; 17.47/6.50 469[label="xy4000 == xy3000",fontsize=16,color="magenta"];469 -> 576[label="",style="dashed", color="magenta", weight=3]; 17.47/6.50 469 -> 577[label="",style="dashed", color="magenta", weight=3]; 17.47/6.50 470 -> 352[label="",style="dashed", color="red", weight=0]; 17.47/6.50 470[label="xy4000 == xy3000",fontsize=16,color="magenta"];470 -> 578[label="",style="dashed", color="magenta", weight=3]; 17.47/6.50 470 -> 579[label="",style="dashed", color="magenta", weight=3]; 17.47/6.50 471 -> 353[label="",style="dashed", color="red", weight=0]; 17.47/6.50 471[label="xy4000 == xy3000",fontsize=16,color="magenta"];471 -> 580[label="",style="dashed", color="magenta", weight=3]; 17.47/6.50 471 -> 581[label="",style="dashed", color="magenta", weight=3]; 17.47/6.50 472 -> 354[label="",style="dashed", color="red", weight=0]; 17.47/6.50 472[label="xy4000 == xy3000",fontsize=16,color="magenta"];472 -> 582[label="",style="dashed", color="magenta", weight=3]; 17.47/6.50 472 -> 583[label="",style="dashed", color="magenta", weight=3]; 17.47/6.50 473 -> 342[label="",style="dashed", color="red", weight=0]; 17.47/6.50 473[label="xy4000 == xy3000",fontsize=16,color="magenta"];473 -> 584[label="",style="dashed", color="magenta", weight=3]; 17.47/6.50 473 -> 585[label="",style="dashed", color="magenta", weight=3]; 17.47/6.50 474 -> 356[label="",style="dashed", color="red", weight=0]; 17.47/6.50 474[label="xy4000 == xy3000",fontsize=16,color="magenta"];474 -> 586[label="",style="dashed", color="magenta", weight=3]; 17.47/6.50 474 -> 587[label="",style="dashed", color="magenta", weight=3]; 17.47/6.50 475 -> 357[label="",style="dashed", color="red", weight=0]; 17.47/6.50 475[label="xy4000 == xy3000",fontsize=16,color="magenta"];475 -> 588[label="",style="dashed", color="magenta", weight=3]; 17.47/6.50 475 -> 589[label="",style="dashed", color="magenta", weight=3]; 17.47/6.50 476 -> 358[label="",style="dashed", color="red", weight=0]; 17.47/6.50 476[label="xy4000 == xy3000",fontsize=16,color="magenta"];476 -> 590[label="",style="dashed", color="magenta", weight=3]; 17.47/6.50 476 -> 591[label="",style="dashed", color="magenta", weight=3]; 17.47/6.50 477 -> 345[label="",style="dashed", color="red", weight=0]; 17.47/6.50 477[label="xy4000 == xy3000",fontsize=16,color="magenta"];477 -> 592[label="",style="dashed", color="magenta", weight=3]; 17.47/6.50 477 -> 593[label="",style="dashed", color="magenta", weight=3]; 17.47/6.50 478 -> 346[label="",style="dashed", color="red", weight=0]; 17.47/6.50 478[label="xy4000 == xy3000",fontsize=16,color="magenta"];478 -> 594[label="",style="dashed", color="magenta", weight=3]; 17.47/6.50 478 -> 595[label="",style="dashed", color="magenta", weight=3]; 17.47/6.50 479 -> 347[label="",style="dashed", color="red", weight=0]; 17.47/6.50 479[label="xy4000 == xy3000",fontsize=16,color="magenta"];479 -> 596[label="",style="dashed", color="magenta", weight=3]; 17.47/6.50 479 -> 597[label="",style="dashed", color="magenta", weight=3]; 17.47/6.50 480 -> 348[label="",style="dashed", color="red", weight=0]; 17.47/6.50 480[label="xy4000 == xy3000",fontsize=16,color="magenta"];480 -> 598[label="",style="dashed", color="magenta", weight=3]; 17.47/6.50 480 -> 599[label="",style="dashed", color="magenta", weight=3]; 17.47/6.50 481 -> 349[label="",style="dashed", color="red", weight=0]; 17.47/6.50 481[label="xy4000 == xy3000",fontsize=16,color="magenta"];481 -> 600[label="",style="dashed", color="magenta", weight=3]; 17.47/6.50 481 -> 601[label="",style="dashed", color="magenta", weight=3]; 17.47/6.50 482 -> 350[label="",style="dashed", color="red", weight=0]; 17.47/6.50 482[label="xy4000 == xy3000",fontsize=16,color="magenta"];482 -> 602[label="",style="dashed", color="magenta", weight=3]; 17.47/6.50 482 -> 603[label="",style="dashed", color="magenta", weight=3]; 17.47/6.50 483 -> 351[label="",style="dashed", color="red", weight=0]; 17.47/6.50 483[label="xy4000 == xy3000",fontsize=16,color="magenta"];483 -> 604[label="",style="dashed", color="magenta", weight=3]; 17.47/6.50 483 -> 605[label="",style="dashed", color="magenta", weight=3]; 17.47/6.50 484 -> 352[label="",style="dashed", color="red", weight=0]; 17.47/6.50 484[label="xy4000 == xy3000",fontsize=16,color="magenta"];484 -> 606[label="",style="dashed", color="magenta", weight=3]; 17.47/6.50 484 -> 607[label="",style="dashed", color="magenta", weight=3]; 17.47/6.50 485 -> 353[label="",style="dashed", color="red", weight=0]; 17.47/6.50 485[label="xy4000 == xy3000",fontsize=16,color="magenta"];485 -> 608[label="",style="dashed", color="magenta", weight=3]; 17.47/6.50 485 -> 609[label="",style="dashed", color="magenta", weight=3]; 17.47/6.50 486 -> 354[label="",style="dashed", color="red", weight=0]; 17.47/6.50 486[label="xy4000 == xy3000",fontsize=16,color="magenta"];486 -> 610[label="",style="dashed", color="magenta", weight=3]; 17.47/6.50 486 -> 611[label="",style="dashed", color="magenta", weight=3]; 17.47/6.50 487 -> 342[label="",style="dashed", color="red", weight=0]; 17.47/6.50 487[label="xy4000 == xy3000",fontsize=16,color="magenta"];487 -> 612[label="",style="dashed", color="magenta", weight=3]; 17.47/6.50 487 -> 613[label="",style="dashed", color="magenta", weight=3]; 17.47/6.50 488 -> 356[label="",style="dashed", color="red", weight=0]; 17.47/6.50 488[label="xy4000 == xy3000",fontsize=16,color="magenta"];488 -> 614[label="",style="dashed", color="magenta", weight=3]; 17.47/6.50 488 -> 615[label="",style="dashed", color="magenta", weight=3]; 17.47/6.50 489 -> 357[label="",style="dashed", color="red", weight=0]; 17.47/6.50 489[label="xy4000 == xy3000",fontsize=16,color="magenta"];489 -> 616[label="",style="dashed", color="magenta", weight=3]; 17.47/6.50 489 -> 617[label="",style="dashed", color="magenta", weight=3]; 17.47/6.50 490 -> 358[label="",style="dashed", color="red", weight=0]; 17.47/6.50 490[label="xy4000 == xy3000",fontsize=16,color="magenta"];490 -> 618[label="",style="dashed", color="magenta", weight=3]; 17.47/6.50 490 -> 619[label="",style="dashed", color="magenta", weight=3]; 17.47/6.50 491[label="xy4000 == xy3000",fontsize=16,color="blue",shape="box"];1153[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];491 -> 1153[label="",style="solid", color="blue", weight=9]; 17.47/6.50 1153 -> 620[label="",style="solid", color="blue", weight=3]; 17.47/6.50 1154[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];491 -> 1154[label="",style="solid", color="blue", weight=9]; 17.47/6.50 1154 -> 621[label="",style="solid", color="blue", weight=3]; 17.47/6.50 1155[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];491 -> 1155[label="",style="solid", color="blue", weight=9]; 17.47/6.50 1155 -> 622[label="",style="solid", color="blue", weight=3]; 17.47/6.50 1156[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];491 -> 1156[label="",style="solid", color="blue", weight=9]; 17.47/6.50 1156 -> 623[label="",style="solid", color="blue", weight=3]; 17.47/6.50 1157[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];491 -> 1157[label="",style="solid", color="blue", weight=9]; 17.47/6.50 1157 -> 624[label="",style="solid", color="blue", weight=3]; 17.47/6.50 1158[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];491 -> 1158[label="",style="solid", color="blue", weight=9]; 17.47/6.50 1158 -> 625[label="",style="solid", color="blue", weight=3]; 17.47/6.50 1159[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];491 -> 1159[label="",style="solid", color="blue", weight=9]; 17.47/6.50 1159 -> 626[label="",style="solid", color="blue", weight=3]; 17.47/6.50 1160[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];491 -> 1160[label="",style="solid", color="blue", weight=9]; 17.47/6.50 1160 -> 627[label="",style="solid", color="blue", weight=3]; 17.47/6.50 1161[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];491 -> 1161[label="",style="solid", color="blue", weight=9]; 17.47/6.50 1161 -> 628[label="",style="solid", color="blue", weight=3]; 17.47/6.50 1162[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];491 -> 1162[label="",style="solid", color="blue", weight=9]; 17.47/6.50 1162 -> 629[label="",style="solid", color="blue", weight=3]; 17.47/6.50 1163[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];491 -> 1163[label="",style="solid", color="blue", weight=9]; 17.47/6.50 1163 -> 630[label="",style="solid", color="blue", weight=3]; 17.47/6.50 1164[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];491 -> 1164[label="",style="solid", color="blue", weight=9]; 17.47/6.50 1164 -> 631[label="",style="solid", color="blue", weight=3]; 17.47/6.50 1165[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];491 -> 1165[label="",style="solid", color="blue", weight=9]; 17.47/6.50 1165 -> 632[label="",style="solid", color="blue", weight=3]; 17.47/6.50 1166[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];491 -> 1166[label="",style="solid", color="blue", weight=9]; 17.47/6.50 1166 -> 633[label="",style="solid", color="blue", weight=3]; 17.47/6.50 492 -> 340[label="",style="dashed", color="red", weight=0]; 17.47/6.50 492[label="xy4001 == xy3001 && xy4002 == xy3002",fontsize=16,color="magenta"];492 -> 634[label="",style="dashed", color="magenta", weight=3]; 17.47/6.50 492 -> 635[label="",style="dashed", color="magenta", weight=3]; 17.47/6.50 493 -> 345[label="",style="dashed", color="red", weight=0]; 17.47/6.50 493[label="xy4000 == xy3000",fontsize=16,color="magenta"];493 -> 636[label="",style="dashed", color="magenta", weight=3]; 17.47/6.50 493 -> 637[label="",style="dashed", color="magenta", weight=3]; 17.47/6.50 494 -> 346[label="",style="dashed", color="red", weight=0]; 17.47/6.50 494[label="xy4000 == xy3000",fontsize=16,color="magenta"];494 -> 638[label="",style="dashed", color="magenta", weight=3]; 17.47/6.50 494 -> 639[label="",style="dashed", color="magenta", weight=3]; 17.47/6.50 495 -> 347[label="",style="dashed", color="red", weight=0]; 17.47/6.50 495[label="xy4000 == xy3000",fontsize=16,color="magenta"];495 -> 640[label="",style="dashed", color="magenta", weight=3]; 17.47/6.50 495 -> 641[label="",style="dashed", color="magenta", weight=3]; 17.47/6.50 496 -> 348[label="",style="dashed", color="red", weight=0]; 17.47/6.50 496[label="xy4000 == xy3000",fontsize=16,color="magenta"];496 -> 642[label="",style="dashed", color="magenta", weight=3]; 17.47/6.50 496 -> 643[label="",style="dashed", color="magenta", weight=3]; 17.47/6.50 497 -> 349[label="",style="dashed", color="red", weight=0]; 17.47/6.50 497[label="xy4000 == xy3000",fontsize=16,color="magenta"];497 -> 644[label="",style="dashed", color="magenta", weight=3]; 17.47/6.50 497 -> 645[label="",style="dashed", color="magenta", weight=3]; 17.47/6.50 498 -> 350[label="",style="dashed", color="red", weight=0]; 17.47/6.50 498[label="xy4000 == xy3000",fontsize=16,color="magenta"];498 -> 646[label="",style="dashed", color="magenta", weight=3]; 17.47/6.50 498 -> 647[label="",style="dashed", color="magenta", weight=3]; 17.47/6.50 499 -> 351[label="",style="dashed", color="red", weight=0]; 17.47/6.50 499[label="xy4000 == xy3000",fontsize=16,color="magenta"];499 -> 648[label="",style="dashed", color="magenta", weight=3]; 17.47/6.50 499 -> 649[label="",style="dashed", color="magenta", weight=3]; 17.47/6.50 500 -> 352[label="",style="dashed", color="red", weight=0]; 17.47/6.50 500[label="xy4000 == xy3000",fontsize=16,color="magenta"];500 -> 650[label="",style="dashed", color="magenta", weight=3]; 17.47/6.50 500 -> 651[label="",style="dashed", color="magenta", weight=3]; 17.47/6.50 501 -> 353[label="",style="dashed", color="red", weight=0]; 17.47/6.50 501[label="xy4000 == xy3000",fontsize=16,color="magenta"];501 -> 652[label="",style="dashed", color="magenta", weight=3]; 17.47/6.50 501 -> 653[label="",style="dashed", color="magenta", weight=3]; 17.47/6.50 502 -> 354[label="",style="dashed", color="red", weight=0]; 17.47/6.50 502[label="xy4000 == xy3000",fontsize=16,color="magenta"];502 -> 654[label="",style="dashed", color="magenta", weight=3]; 17.47/6.50 502 -> 655[label="",style="dashed", color="magenta", weight=3]; 17.47/6.50 503 -> 342[label="",style="dashed", color="red", weight=0]; 17.47/6.50 503[label="xy4000 == xy3000",fontsize=16,color="magenta"];503 -> 656[label="",style="dashed", color="magenta", weight=3]; 17.47/6.50 503 -> 657[label="",style="dashed", color="magenta", weight=3]; 17.47/6.50 504 -> 356[label="",style="dashed", color="red", weight=0]; 17.47/6.50 504[label="xy4000 == xy3000",fontsize=16,color="magenta"];504 -> 658[label="",style="dashed", color="magenta", weight=3]; 17.47/6.50 504 -> 659[label="",style="dashed", color="magenta", weight=3]; 17.47/6.50 505 -> 357[label="",style="dashed", color="red", weight=0]; 17.47/6.50 505[label="xy4000 == xy3000",fontsize=16,color="magenta"];505 -> 660[label="",style="dashed", color="magenta", weight=3]; 17.47/6.50 505 -> 661[label="",style="dashed", color="magenta", weight=3]; 17.47/6.50 506 -> 358[label="",style="dashed", color="red", weight=0]; 17.47/6.50 506[label="xy4000 == xy3000",fontsize=16,color="magenta"];506 -> 662[label="",style="dashed", color="magenta", weight=3]; 17.47/6.50 506 -> 663[label="",style="dashed", color="magenta", weight=3]; 17.47/6.50 507[label="primEqNat xy4000 xy3000",fontsize=16,color="burlywood",shape="triangle"];1167[label="xy4000/Succ xy40000",fontsize=10,color="white",style="solid",shape="box"];507 -> 1167[label="",style="solid", color="burlywood", weight=9]; 17.47/6.50 1167 -> 664[label="",style="solid", color="burlywood", weight=3]; 17.47/6.50 1168[label="xy4000/Zero",fontsize=10,color="white",style="solid",shape="box"];507 -> 1168[label="",style="solid", color="burlywood", weight=9]; 17.47/6.50 1168 -> 665[label="",style="solid", color="burlywood", weight=3]; 17.47/6.50 508[label="primEqInt (Pos (Succ xy40000)) (Pos xy3000)",fontsize=16,color="burlywood",shape="box"];1169[label="xy3000/Succ xy30000",fontsize=10,color="white",style="solid",shape="box"];508 -> 1169[label="",style="solid", color="burlywood", weight=9]; 17.47/6.50 1169 -> 666[label="",style="solid", color="burlywood", weight=3]; 17.47/6.50 1170[label="xy3000/Zero",fontsize=10,color="white",style="solid",shape="box"];508 -> 1170[label="",style="solid", color="burlywood", weight=9]; 17.47/6.50 1170 -> 667[label="",style="solid", color="burlywood", weight=3]; 17.47/6.50 509[label="primEqInt (Pos (Succ xy40000)) (Neg xy3000)",fontsize=16,color="black",shape="box"];509 -> 668[label="",style="solid", color="black", weight=3]; 17.47/6.50 510[label="primEqInt (Pos Zero) (Pos xy3000)",fontsize=16,color="burlywood",shape="box"];1171[label="xy3000/Succ xy30000",fontsize=10,color="white",style="solid",shape="box"];510 -> 1171[label="",style="solid", color="burlywood", weight=9]; 17.47/6.50 1171 -> 669[label="",style="solid", color="burlywood", weight=3]; 17.47/6.50 1172[label="xy3000/Zero",fontsize=10,color="white",style="solid",shape="box"];510 -> 1172[label="",style="solid", color="burlywood", weight=9]; 17.47/6.50 1172 -> 670[label="",style="solid", color="burlywood", weight=3]; 17.47/6.50 511[label="primEqInt (Pos Zero) (Neg xy3000)",fontsize=16,color="burlywood",shape="box"];1173[label="xy3000/Succ xy30000",fontsize=10,color="white",style="solid",shape="box"];511 -> 1173[label="",style="solid", color="burlywood", weight=9]; 17.47/6.50 1173 -> 671[label="",style="solid", color="burlywood", weight=3]; 17.47/6.50 1174[label="xy3000/Zero",fontsize=10,color="white",style="solid",shape="box"];511 -> 1174[label="",style="solid", color="burlywood", weight=9]; 17.47/6.50 1174 -> 672[label="",style="solid", color="burlywood", weight=3]; 17.47/6.50 512[label="primEqInt (Neg (Succ xy40000)) (Pos xy3000)",fontsize=16,color="black",shape="box"];512 -> 673[label="",style="solid", color="black", weight=3]; 17.47/6.50 513[label="primEqInt (Neg (Succ xy40000)) (Neg xy3000)",fontsize=16,color="burlywood",shape="box"];1175[label="xy3000/Succ xy30000",fontsize=10,color="white",style="solid",shape="box"];513 -> 1175[label="",style="solid", color="burlywood", weight=9]; 17.47/6.50 1175 -> 674[label="",style="solid", color="burlywood", weight=3]; 17.47/6.50 1176[label="xy3000/Zero",fontsize=10,color="white",style="solid",shape="box"];513 -> 1176[label="",style="solid", color="burlywood", weight=9]; 17.47/6.50 1176 -> 675[label="",style="solid", color="burlywood", weight=3]; 17.47/6.50 514[label="primEqInt (Neg Zero) (Pos xy3000)",fontsize=16,color="burlywood",shape="box"];1177[label="xy3000/Succ xy30000",fontsize=10,color="white",style="solid",shape="box"];514 -> 1177[label="",style="solid", color="burlywood", weight=9]; 17.47/6.50 1177 -> 676[label="",style="solid", color="burlywood", weight=3]; 17.47/6.50 1178[label="xy3000/Zero",fontsize=10,color="white",style="solid",shape="box"];514 -> 1178[label="",style="solid", color="burlywood", weight=9]; 17.47/6.50 1178 -> 677[label="",style="solid", color="burlywood", weight=3]; 17.47/6.50 515[label="primEqInt (Neg Zero) (Neg xy3000)",fontsize=16,color="burlywood",shape="box"];1179[label="xy3000/Succ xy30000",fontsize=10,color="white",style="solid",shape="box"];515 -> 1179[label="",style="solid", color="burlywood", weight=9]; 17.47/6.50 1179 -> 678[label="",style="solid", color="burlywood", weight=3]; 17.47/6.50 1180[label="xy3000/Zero",fontsize=10,color="white",style="solid",shape="box"];515 -> 1180[label="",style="solid", color="burlywood", weight=9]; 17.47/6.50 1180 -> 679[label="",style="solid", color="burlywood", weight=3]; 17.47/6.50 516 -> 353[label="",style="dashed", color="red", weight=0]; 17.47/6.50 516[label="xy4000 * xy3001 == xy4001 * xy3000",fontsize=16,color="magenta"];516 -> 680[label="",style="dashed", color="magenta", weight=3]; 17.47/6.50 516 -> 681[label="",style="dashed", color="magenta", weight=3]; 17.47/6.50 517 -> 353[label="",style="dashed", color="red", weight=0]; 17.47/6.50 517[label="xy4000 * xy3001 == xy4001 * xy3000",fontsize=16,color="magenta"];517 -> 682[label="",style="dashed", color="magenta", weight=3]; 17.47/6.50 517 -> 683[label="",style="dashed", color="magenta", weight=3]; 17.47/6.50 518[label="xy4000 == xy3000",fontsize=16,color="blue",shape="box"];1181[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];518 -> 1181[label="",style="solid", color="blue", weight=9]; 17.47/6.50 1181 -> 684[label="",style="solid", color="blue", weight=3]; 17.47/6.50 1182[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];518 -> 1182[label="",style="solid", color="blue", weight=9]; 17.47/6.50 1182 -> 685[label="",style="solid", color="blue", weight=3]; 17.47/6.50 519[label="xy4001 == xy3001",fontsize=16,color="blue",shape="box"];1183[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];519 -> 1183[label="",style="solid", color="blue", weight=9]; 17.47/6.50 1183 -> 686[label="",style="solid", color="blue", weight=3]; 17.47/6.50 1184[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];519 -> 1184[label="",style="solid", color="blue", weight=9]; 17.47/6.50 1184 -> 687[label="",style="solid", color="blue", weight=3]; 17.47/6.50 520 -> 345[label="",style="dashed", color="red", weight=0]; 17.47/6.50 520[label="xy4010 == xy3010",fontsize=16,color="magenta"];520 -> 688[label="",style="dashed", color="magenta", weight=3]; 17.47/6.50 520 -> 689[label="",style="dashed", color="magenta", weight=3]; 17.47/6.50 521 -> 346[label="",style="dashed", color="red", weight=0]; 17.47/6.50 521[label="xy4010 == xy3010",fontsize=16,color="magenta"];521 -> 690[label="",style="dashed", color="magenta", weight=3]; 17.47/6.50 521 -> 691[label="",style="dashed", color="magenta", weight=3]; 17.47/6.50 522 -> 347[label="",style="dashed", color="red", weight=0]; 17.47/6.50 522[label="xy4010 == xy3010",fontsize=16,color="magenta"];522 -> 692[label="",style="dashed", color="magenta", weight=3]; 17.47/6.50 522 -> 693[label="",style="dashed", color="magenta", weight=3]; 17.47/6.50 523 -> 348[label="",style="dashed", color="red", weight=0]; 17.47/6.50 523[label="xy4010 == xy3010",fontsize=16,color="magenta"];523 -> 694[label="",style="dashed", color="magenta", weight=3]; 17.47/6.50 523 -> 695[label="",style="dashed", color="magenta", weight=3]; 17.47/6.50 524 -> 349[label="",style="dashed", color="red", weight=0]; 17.47/6.50 524[label="xy4010 == xy3010",fontsize=16,color="magenta"];524 -> 696[label="",style="dashed", color="magenta", weight=3]; 17.47/6.50 524 -> 697[label="",style="dashed", color="magenta", weight=3]; 17.47/6.50 525 -> 350[label="",style="dashed", color="red", weight=0]; 17.47/6.50 525[label="xy4010 == xy3010",fontsize=16,color="magenta"];525 -> 698[label="",style="dashed", color="magenta", weight=3]; 17.47/6.50 525 -> 699[label="",style="dashed", color="magenta", weight=3]; 17.47/6.50 526 -> 351[label="",style="dashed", color="red", weight=0]; 17.47/6.50 526[label="xy4010 == xy3010",fontsize=16,color="magenta"];526 -> 700[label="",style="dashed", color="magenta", weight=3]; 17.47/6.50 526 -> 701[label="",style="dashed", color="magenta", weight=3]; 17.47/6.50 527 -> 352[label="",style="dashed", color="red", weight=0]; 17.47/6.50 527[label="xy4010 == xy3010",fontsize=16,color="magenta"];527 -> 702[label="",style="dashed", color="magenta", weight=3]; 17.47/6.50 527 -> 703[label="",style="dashed", color="magenta", weight=3]; 17.47/6.50 528 -> 353[label="",style="dashed", color="red", weight=0]; 17.47/6.50 528[label="xy4010 == xy3010",fontsize=16,color="magenta"];528 -> 704[label="",style="dashed", color="magenta", weight=3]; 17.47/6.50 528 -> 705[label="",style="dashed", color="magenta", weight=3]; 17.47/6.50 529 -> 354[label="",style="dashed", color="red", weight=0]; 17.47/6.50 529[label="xy4010 == xy3010",fontsize=16,color="magenta"];529 -> 706[label="",style="dashed", color="magenta", weight=3]; 17.47/6.50 529 -> 707[label="",style="dashed", color="magenta", weight=3]; 17.47/6.50 530 -> 342[label="",style="dashed", color="red", weight=0]; 17.47/6.50 530[label="xy4010 == xy3010",fontsize=16,color="magenta"];530 -> 708[label="",style="dashed", color="magenta", weight=3]; 17.47/6.50 530 -> 709[label="",style="dashed", color="magenta", weight=3]; 17.47/6.50 531 -> 356[label="",style="dashed", color="red", weight=0]; 17.47/6.50 531[label="xy4010 == xy3010",fontsize=16,color="magenta"];531 -> 710[label="",style="dashed", color="magenta", weight=3]; 17.47/6.50 531 -> 711[label="",style="dashed", color="magenta", weight=3]; 17.47/6.50 532 -> 357[label="",style="dashed", color="red", weight=0]; 17.47/6.50 532[label="xy4010 == xy3010",fontsize=16,color="magenta"];532 -> 712[label="",style="dashed", color="magenta", weight=3]; 17.47/6.50 532 -> 713[label="",style="dashed", color="magenta", weight=3]; 17.47/6.50 533 -> 358[label="",style="dashed", color="red", weight=0]; 17.47/6.50 533[label="xy4010 == xy3010",fontsize=16,color="magenta"];533 -> 714[label="",style="dashed", color="magenta", weight=3]; 17.47/6.50 533 -> 715[label="",style="dashed", color="magenta", weight=3]; 17.47/6.50 534[label="xy3011",fontsize=16,color="green",shape="box"];535[label="xy4011",fontsize=16,color="green",shape="box"];536 -> 345[label="",style="dashed", color="red", weight=0]; 17.47/6.50 536[label="xy4000 == xy3000",fontsize=16,color="magenta"];536 -> 716[label="",style="dashed", color="magenta", weight=3]; 17.47/6.50 536 -> 717[label="",style="dashed", color="magenta", weight=3]; 17.47/6.50 537 -> 346[label="",style="dashed", color="red", weight=0]; 17.47/6.50 537[label="xy4000 == xy3000",fontsize=16,color="magenta"];537 -> 718[label="",style="dashed", color="magenta", weight=3]; 17.47/6.50 537 -> 719[label="",style="dashed", color="magenta", weight=3]; 17.47/6.50 538 -> 347[label="",style="dashed", color="red", weight=0]; 17.47/6.50 538[label="xy4000 == xy3000",fontsize=16,color="magenta"];538 -> 720[label="",style="dashed", color="magenta", weight=3]; 17.47/6.50 538 -> 721[label="",style="dashed", color="magenta", weight=3]; 17.47/6.50 539 -> 348[label="",style="dashed", color="red", weight=0]; 17.47/6.50 539[label="xy4000 == xy3000",fontsize=16,color="magenta"];539 -> 722[label="",style="dashed", color="magenta", weight=3]; 17.47/6.50 539 -> 723[label="",style="dashed", color="magenta", weight=3]; 17.47/6.50 540 -> 349[label="",style="dashed", color="red", weight=0]; 17.47/6.50 540[label="xy4000 == xy3000",fontsize=16,color="magenta"];540 -> 724[label="",style="dashed", color="magenta", weight=3]; 17.47/6.50 540 -> 725[label="",style="dashed", color="magenta", weight=3]; 17.47/6.50 541 -> 350[label="",style="dashed", color="red", weight=0]; 17.47/6.50 541[label="xy4000 == xy3000",fontsize=16,color="magenta"];541 -> 726[label="",style="dashed", color="magenta", weight=3]; 17.47/6.50 541 -> 727[label="",style="dashed", color="magenta", weight=3]; 17.47/6.50 542 -> 351[label="",style="dashed", color="red", weight=0]; 17.47/6.50 542[label="xy4000 == xy3000",fontsize=16,color="magenta"];542 -> 728[label="",style="dashed", color="magenta", weight=3]; 17.47/6.50 542 -> 729[label="",style="dashed", color="magenta", weight=3]; 17.47/6.50 543 -> 352[label="",style="dashed", color="red", weight=0]; 17.47/6.50 543[label="xy4000 == xy3000",fontsize=16,color="magenta"];543 -> 730[label="",style="dashed", color="magenta", weight=3]; 17.47/6.50 543 -> 731[label="",style="dashed", color="magenta", weight=3]; 17.47/6.50 544 -> 353[label="",style="dashed", color="red", weight=0]; 17.47/6.50 544[label="xy4000 == xy3000",fontsize=16,color="magenta"];544 -> 732[label="",style="dashed", color="magenta", weight=3]; 17.47/6.50 544 -> 733[label="",style="dashed", color="magenta", weight=3]; 17.47/6.50 545 -> 354[label="",style="dashed", color="red", weight=0]; 17.47/6.50 545[label="xy4000 == xy3000",fontsize=16,color="magenta"];545 -> 734[label="",style="dashed", color="magenta", weight=3]; 17.47/6.50 545 -> 735[label="",style="dashed", color="magenta", weight=3]; 17.47/6.50 546 -> 342[label="",style="dashed", color="red", weight=0]; 17.47/6.50 546[label="xy4000 == xy3000",fontsize=16,color="magenta"];546 -> 736[label="",style="dashed", color="magenta", weight=3]; 17.47/6.50 546 -> 737[label="",style="dashed", color="magenta", weight=3]; 17.47/6.50 547 -> 356[label="",style="dashed", color="red", weight=0]; 17.47/6.50 547[label="xy4000 == xy3000",fontsize=16,color="magenta"];547 -> 738[label="",style="dashed", color="magenta", weight=3]; 17.47/6.50 547 -> 739[label="",style="dashed", color="magenta", weight=3]; 17.47/6.50 548 -> 357[label="",style="dashed", color="red", weight=0]; 17.47/6.50 548[label="xy4000 == xy3000",fontsize=16,color="magenta"];548 -> 740[label="",style="dashed", color="magenta", weight=3]; 17.47/6.50 548 -> 741[label="",style="dashed", color="magenta", weight=3]; 17.47/6.50 549 -> 358[label="",style="dashed", color="red", weight=0]; 17.47/6.50 549[label="xy4000 == xy3000",fontsize=16,color="magenta"];549 -> 742[label="",style="dashed", color="magenta", weight=3]; 17.47/6.50 549 -> 743[label="",style="dashed", color="magenta", weight=3]; 17.47/6.50 550 -> 345[label="",style="dashed", color="red", weight=0]; 17.47/6.50 550[label="xy4001 == xy3001",fontsize=16,color="magenta"];550 -> 744[label="",style="dashed", color="magenta", weight=3]; 17.47/6.50 550 -> 745[label="",style="dashed", color="magenta", weight=3]; 17.47/6.50 551 -> 346[label="",style="dashed", color="red", weight=0]; 17.47/6.50 551[label="xy4001 == xy3001",fontsize=16,color="magenta"];551 -> 746[label="",style="dashed", color="magenta", weight=3]; 17.47/6.50 551 -> 747[label="",style="dashed", color="magenta", weight=3]; 17.47/6.50 552 -> 347[label="",style="dashed", color="red", weight=0]; 17.47/6.50 552[label="xy4001 == xy3001",fontsize=16,color="magenta"];552 -> 748[label="",style="dashed", color="magenta", weight=3]; 17.47/6.50 552 -> 749[label="",style="dashed", color="magenta", weight=3]; 17.47/6.50 553 -> 348[label="",style="dashed", color="red", weight=0]; 17.47/6.50 553[label="xy4001 == xy3001",fontsize=16,color="magenta"];553 -> 750[label="",style="dashed", color="magenta", weight=3]; 17.47/6.50 553 -> 751[label="",style="dashed", color="magenta", weight=3]; 17.47/6.50 554 -> 349[label="",style="dashed", color="red", weight=0]; 17.47/6.50 554[label="xy4001 == xy3001",fontsize=16,color="magenta"];554 -> 752[label="",style="dashed", color="magenta", weight=3]; 17.47/6.50 554 -> 753[label="",style="dashed", color="magenta", weight=3]; 17.47/6.50 555 -> 350[label="",style="dashed", color="red", weight=0]; 17.47/6.50 555[label="xy4001 == xy3001",fontsize=16,color="magenta"];555 -> 754[label="",style="dashed", color="magenta", weight=3]; 17.47/6.50 555 -> 755[label="",style="dashed", color="magenta", weight=3]; 17.47/6.50 556 -> 351[label="",style="dashed", color="red", weight=0]; 17.47/6.50 556[label="xy4001 == xy3001",fontsize=16,color="magenta"];556 -> 756[label="",style="dashed", color="magenta", weight=3]; 17.47/6.50 556 -> 757[label="",style="dashed", color="magenta", weight=3]; 17.47/6.50 557 -> 352[label="",style="dashed", color="red", weight=0]; 17.47/6.50 557[label="xy4001 == xy3001",fontsize=16,color="magenta"];557 -> 758[label="",style="dashed", color="magenta", weight=3]; 17.47/6.50 557 -> 759[label="",style="dashed", color="magenta", weight=3]; 17.47/6.50 558 -> 353[label="",style="dashed", color="red", weight=0]; 17.47/6.50 558[label="xy4001 == xy3001",fontsize=16,color="magenta"];558 -> 760[label="",style="dashed", color="magenta", weight=3]; 17.47/6.50 558 -> 761[label="",style="dashed", color="magenta", weight=3]; 17.47/6.50 559 -> 354[label="",style="dashed", color="red", weight=0]; 17.47/6.50 559[label="xy4001 == xy3001",fontsize=16,color="magenta"];559 -> 762[label="",style="dashed", color="magenta", weight=3]; 17.47/6.50 559 -> 763[label="",style="dashed", color="magenta", weight=3]; 17.47/6.50 560 -> 342[label="",style="dashed", color="red", weight=0]; 17.47/6.50 560[label="xy4001 == xy3001",fontsize=16,color="magenta"];560 -> 764[label="",style="dashed", color="magenta", weight=3]; 17.47/6.50 560 -> 765[label="",style="dashed", color="magenta", weight=3]; 17.47/6.50 561 -> 356[label="",style="dashed", color="red", weight=0]; 17.47/6.50 561[label="xy4001 == xy3001",fontsize=16,color="magenta"];561 -> 766[label="",style="dashed", color="magenta", weight=3]; 17.47/6.50 561 -> 767[label="",style="dashed", color="magenta", weight=3]; 17.47/6.50 562 -> 357[label="",style="dashed", color="red", weight=0]; 17.47/6.50 562[label="xy4001 == xy3001",fontsize=16,color="magenta"];562 -> 768[label="",style="dashed", color="magenta", weight=3]; 17.47/6.50 562 -> 769[label="",style="dashed", color="magenta", weight=3]; 17.47/6.50 563 -> 358[label="",style="dashed", color="red", weight=0]; 17.47/6.50 563[label="xy4001 == xy3001",fontsize=16,color="magenta"];563 -> 770[label="",style="dashed", color="magenta", weight=3]; 17.47/6.50 563 -> 771[label="",style="dashed", color="magenta", weight=3]; 17.47/6.50 564[label="xy3000",fontsize=16,color="green",shape="box"];565[label="xy4000",fontsize=16,color="green",shape="box"];566[label="xy3000",fontsize=16,color="green",shape="box"];567[label="xy4000",fontsize=16,color="green",shape="box"];568[label="xy3000",fontsize=16,color="green",shape="box"];569[label="xy4000",fontsize=16,color="green",shape="box"];570[label="xy3000",fontsize=16,color="green",shape="box"];571[label="xy4000",fontsize=16,color="green",shape="box"];572[label="xy3000",fontsize=16,color="green",shape="box"];573[label="xy4000",fontsize=16,color="green",shape="box"];574[label="xy3000",fontsize=16,color="green",shape="box"];575[label="xy4000",fontsize=16,color="green",shape="box"];576[label="xy3000",fontsize=16,color="green",shape="box"];577[label="xy4000",fontsize=16,color="green",shape="box"];578[label="xy3000",fontsize=16,color="green",shape="box"];579[label="xy4000",fontsize=16,color="green",shape="box"];580[label="xy3000",fontsize=16,color="green",shape="box"];581[label="xy4000",fontsize=16,color="green",shape="box"];582[label="xy3000",fontsize=16,color="green",shape="box"];583[label="xy4000",fontsize=16,color="green",shape="box"];584[label="xy3000",fontsize=16,color="green",shape="box"];585[label="xy4000",fontsize=16,color="green",shape="box"];586[label="xy3000",fontsize=16,color="green",shape="box"];587[label="xy4000",fontsize=16,color="green",shape="box"];588[label="xy3000",fontsize=16,color="green",shape="box"];589[label="xy4000",fontsize=16,color="green",shape="box"];590[label="xy3000",fontsize=16,color="green",shape="box"];591[label="xy4000",fontsize=16,color="green",shape="box"];592[label="xy3000",fontsize=16,color="green",shape="box"];593[label="xy4000",fontsize=16,color="green",shape="box"];594[label="xy3000",fontsize=16,color="green",shape="box"];595[label="xy4000",fontsize=16,color="green",shape="box"];596[label="xy3000",fontsize=16,color="green",shape="box"];597[label="xy4000",fontsize=16,color="green",shape="box"];598[label="xy3000",fontsize=16,color="green",shape="box"];599[label="xy4000",fontsize=16,color="green",shape="box"];600[label="xy3000",fontsize=16,color="green",shape="box"];601[label="xy4000",fontsize=16,color="green",shape="box"];602[label="xy3000",fontsize=16,color="green",shape="box"];603[label="xy4000",fontsize=16,color="green",shape="box"];604[label="xy3000",fontsize=16,color="green",shape="box"];605[label="xy4000",fontsize=16,color="green",shape="box"];606[label="xy3000",fontsize=16,color="green",shape="box"];607[label="xy4000",fontsize=16,color="green",shape="box"];608[label="xy3000",fontsize=16,color="green",shape="box"];609[label="xy4000",fontsize=16,color="green",shape="box"];610[label="xy3000",fontsize=16,color="green",shape="box"];611[label="xy4000",fontsize=16,color="green",shape="box"];612[label="xy3000",fontsize=16,color="green",shape="box"];613[label="xy4000",fontsize=16,color="green",shape="box"];614[label="xy3000",fontsize=16,color="green",shape="box"];615[label="xy4000",fontsize=16,color="green",shape="box"];616[label="xy3000",fontsize=16,color="green",shape="box"];617[label="xy4000",fontsize=16,color="green",shape="box"];618[label="xy3000",fontsize=16,color="green",shape="box"];619[label="xy4000",fontsize=16,color="green",shape="box"];620 -> 345[label="",style="dashed", color="red", weight=0]; 17.47/6.50 620[label="xy4000 == xy3000",fontsize=16,color="magenta"];620 -> 772[label="",style="dashed", color="magenta", weight=3]; 17.47/6.50 620 -> 773[label="",style="dashed", color="magenta", weight=3]; 17.47/6.50 621 -> 346[label="",style="dashed", color="red", weight=0]; 17.47/6.50 621[label="xy4000 == xy3000",fontsize=16,color="magenta"];621 -> 774[label="",style="dashed", color="magenta", weight=3]; 17.47/6.50 621 -> 775[label="",style="dashed", color="magenta", weight=3]; 17.47/6.50 622 -> 347[label="",style="dashed", color="red", weight=0]; 17.47/6.50 622[label="xy4000 == xy3000",fontsize=16,color="magenta"];622 -> 776[label="",style="dashed", color="magenta", weight=3]; 17.47/6.50 622 -> 777[label="",style="dashed", color="magenta", weight=3]; 17.47/6.50 623 -> 348[label="",style="dashed", color="red", weight=0]; 17.47/6.50 623[label="xy4000 == xy3000",fontsize=16,color="magenta"];623 -> 778[label="",style="dashed", color="magenta", weight=3]; 17.47/6.50 623 -> 779[label="",style="dashed", color="magenta", weight=3]; 17.47/6.50 624 -> 349[label="",style="dashed", color="red", weight=0]; 17.47/6.50 624[label="xy4000 == xy3000",fontsize=16,color="magenta"];624 -> 780[label="",style="dashed", color="magenta", weight=3]; 17.47/6.50 624 -> 781[label="",style="dashed", color="magenta", weight=3]; 17.47/6.50 625 -> 350[label="",style="dashed", color="red", weight=0]; 17.47/6.50 625[label="xy4000 == xy3000",fontsize=16,color="magenta"];625 -> 782[label="",style="dashed", color="magenta", weight=3]; 17.47/6.50 625 -> 783[label="",style="dashed", color="magenta", weight=3]; 17.47/6.50 626 -> 351[label="",style="dashed", color="red", weight=0]; 17.47/6.50 626[label="xy4000 == xy3000",fontsize=16,color="magenta"];626 -> 784[label="",style="dashed", color="magenta", weight=3]; 17.47/6.50 626 -> 785[label="",style="dashed", color="magenta", weight=3]; 17.47/6.50 627 -> 352[label="",style="dashed", color="red", weight=0]; 17.47/6.50 627[label="xy4000 == xy3000",fontsize=16,color="magenta"];627 -> 786[label="",style="dashed", color="magenta", weight=3]; 17.47/6.50 627 -> 787[label="",style="dashed", color="magenta", weight=3]; 17.47/6.50 628 -> 353[label="",style="dashed", color="red", weight=0]; 17.47/6.50 628[label="xy4000 == xy3000",fontsize=16,color="magenta"];628 -> 788[label="",style="dashed", color="magenta", weight=3]; 17.47/6.50 628 -> 789[label="",style="dashed", color="magenta", weight=3]; 17.47/6.50 629 -> 354[label="",style="dashed", color="red", weight=0]; 17.47/6.50 629[label="xy4000 == xy3000",fontsize=16,color="magenta"];629 -> 790[label="",style="dashed", color="magenta", weight=3]; 17.47/6.50 629 -> 791[label="",style="dashed", color="magenta", weight=3]; 17.47/6.50 630 -> 342[label="",style="dashed", color="red", weight=0]; 17.47/6.50 630[label="xy4000 == xy3000",fontsize=16,color="magenta"];630 -> 792[label="",style="dashed", color="magenta", weight=3]; 17.47/6.50 630 -> 793[label="",style="dashed", color="magenta", weight=3]; 17.47/6.50 631 -> 356[label="",style="dashed", color="red", weight=0]; 17.47/6.50 631[label="xy4000 == xy3000",fontsize=16,color="magenta"];631 -> 794[label="",style="dashed", color="magenta", weight=3]; 17.47/6.50 631 -> 795[label="",style="dashed", color="magenta", weight=3]; 17.47/6.50 632 -> 357[label="",style="dashed", color="red", weight=0]; 17.47/6.50 632[label="xy4000 == xy3000",fontsize=16,color="magenta"];632 -> 796[label="",style="dashed", color="magenta", weight=3]; 17.47/6.50 632 -> 797[label="",style="dashed", color="magenta", weight=3]; 17.47/6.50 633 -> 358[label="",style="dashed", color="red", weight=0]; 17.47/6.50 633[label="xy4000 == xy3000",fontsize=16,color="magenta"];633 -> 798[label="",style="dashed", color="magenta", weight=3]; 17.47/6.50 633 -> 799[label="",style="dashed", color="magenta", weight=3]; 17.47/6.50 634[label="xy4001 == xy3001",fontsize=16,color="blue",shape="box"];1185[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];634 -> 1185[label="",style="solid", color="blue", weight=9]; 17.47/6.50 1185 -> 800[label="",style="solid", color="blue", weight=3]; 17.47/6.50 1186[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];634 -> 1186[label="",style="solid", color="blue", weight=9]; 17.47/6.50 1186 -> 801[label="",style="solid", color="blue", weight=3]; 17.47/6.50 1187[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];634 -> 1187[label="",style="solid", color="blue", weight=9]; 17.47/6.50 1187 -> 802[label="",style="solid", color="blue", weight=3]; 17.47/6.50 1188[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];634 -> 1188[label="",style="solid", color="blue", weight=9]; 17.47/6.50 1188 -> 803[label="",style="solid", color="blue", weight=3]; 17.47/6.50 1189[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];634 -> 1189[label="",style="solid", color="blue", weight=9]; 17.47/6.50 1189 -> 804[label="",style="solid", color="blue", weight=3]; 17.47/6.50 1190[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];634 -> 1190[label="",style="solid", color="blue", weight=9]; 17.47/6.50 1190 -> 805[label="",style="solid", color="blue", weight=3]; 17.47/6.50 1191[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];634 -> 1191[label="",style="solid", color="blue", weight=9]; 17.47/6.50 1191 -> 806[label="",style="solid", color="blue", weight=3]; 17.47/6.50 1192[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];634 -> 1192[label="",style="solid", color="blue", weight=9]; 17.47/6.50 1192 -> 807[label="",style="solid", color="blue", weight=3]; 17.47/6.50 1193[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];634 -> 1193[label="",style="solid", color="blue", weight=9]; 17.47/6.50 1193 -> 808[label="",style="solid", color="blue", weight=3]; 17.47/6.50 1194[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];634 -> 1194[label="",style="solid", color="blue", weight=9]; 17.47/6.50 1194 -> 809[label="",style="solid", color="blue", weight=3]; 17.47/6.50 1195[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];634 -> 1195[label="",style="solid", color="blue", weight=9]; 17.47/6.50 1195 -> 810[label="",style="solid", color="blue", weight=3]; 17.47/6.50 1196[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];634 -> 1196[label="",style="solid", color="blue", weight=9]; 17.47/6.50 1196 -> 811[label="",style="solid", color="blue", weight=3]; 17.47/6.50 1197[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];634 -> 1197[label="",style="solid", color="blue", weight=9]; 17.47/6.50 1197 -> 812[label="",style="solid", color="blue", weight=3]; 17.47/6.50 1198[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];634 -> 1198[label="",style="solid", color="blue", weight=9]; 17.47/6.50 1198 -> 813[label="",style="solid", color="blue", weight=3]; 17.47/6.50 635[label="xy4002 == xy3002",fontsize=16,color="blue",shape="box"];1199[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];635 -> 1199[label="",style="solid", color="blue", weight=9]; 17.47/6.50 1199 -> 814[label="",style="solid", color="blue", weight=3]; 17.47/6.50 1200[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];635 -> 1200[label="",style="solid", color="blue", weight=9]; 17.47/6.50 1200 -> 815[label="",style="solid", color="blue", weight=3]; 17.47/6.50 1201[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];635 -> 1201[label="",style="solid", color="blue", weight=9]; 17.47/6.50 1201 -> 816[label="",style="solid", color="blue", weight=3]; 17.47/6.50 1202[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];635 -> 1202[label="",style="solid", color="blue", weight=9]; 17.47/6.50 1202 -> 817[label="",style="solid", color="blue", weight=3]; 17.47/6.50 1203[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];635 -> 1203[label="",style="solid", color="blue", weight=9]; 17.47/6.50 1203 -> 818[label="",style="solid", color="blue", weight=3]; 17.47/6.50 1204[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];635 -> 1204[label="",style="solid", color="blue", weight=9]; 17.47/6.50 1204 -> 819[label="",style="solid", color="blue", weight=3]; 17.47/6.50 1205[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];635 -> 1205[label="",style="solid", color="blue", weight=9]; 17.47/6.50 1205 -> 820[label="",style="solid", color="blue", weight=3]; 17.47/6.50 1206[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];635 -> 1206[label="",style="solid", color="blue", weight=9]; 17.47/6.50 1206 -> 821[label="",style="solid", color="blue", weight=3]; 17.47/6.50 1207[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];635 -> 1207[label="",style="solid", color="blue", weight=9]; 17.47/6.50 1207 -> 822[label="",style="solid", color="blue", weight=3]; 17.47/6.50 1208[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];635 -> 1208[label="",style="solid", color="blue", weight=9]; 17.47/6.50 1208 -> 823[label="",style="solid", color="blue", weight=3]; 17.47/6.50 1209[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];635 -> 1209[label="",style="solid", color="blue", weight=9]; 17.47/6.50 1209 -> 824[label="",style="solid", color="blue", weight=3]; 17.47/6.50 1210[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];635 -> 1210[label="",style="solid", color="blue", weight=9]; 17.47/6.50 1210 -> 825[label="",style="solid", color="blue", weight=3]; 17.47/6.50 1211[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];635 -> 1211[label="",style="solid", color="blue", weight=9]; 17.47/6.50 1211 -> 826[label="",style="solid", color="blue", weight=3]; 17.47/6.50 1212[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];635 -> 1212[label="",style="solid", color="blue", weight=9]; 17.47/6.50 1212 -> 827[label="",style="solid", color="blue", weight=3]; 17.47/6.50 636[label="xy3000",fontsize=16,color="green",shape="box"];637[label="xy4000",fontsize=16,color="green",shape="box"];638[label="xy3000",fontsize=16,color="green",shape="box"];639[label="xy4000",fontsize=16,color="green",shape="box"];640[label="xy3000",fontsize=16,color="green",shape="box"];641[label="xy4000",fontsize=16,color="green",shape="box"];642[label="xy3000",fontsize=16,color="green",shape="box"];643[label="xy4000",fontsize=16,color="green",shape="box"];644[label="xy3000",fontsize=16,color="green",shape="box"];645[label="xy4000",fontsize=16,color="green",shape="box"];646[label="xy3000",fontsize=16,color="green",shape="box"];647[label="xy4000",fontsize=16,color="green",shape="box"];648[label="xy3000",fontsize=16,color="green",shape="box"];649[label="xy4000",fontsize=16,color="green",shape="box"];650[label="xy3000",fontsize=16,color="green",shape="box"];651[label="xy4000",fontsize=16,color="green",shape="box"];652[label="xy3000",fontsize=16,color="green",shape="box"];653[label="xy4000",fontsize=16,color="green",shape="box"];654[label="xy3000",fontsize=16,color="green",shape="box"];655[label="xy4000",fontsize=16,color="green",shape="box"];656[label="xy3000",fontsize=16,color="green",shape="box"];657[label="xy4000",fontsize=16,color="green",shape="box"];658[label="xy3000",fontsize=16,color="green",shape="box"];659[label="xy4000",fontsize=16,color="green",shape="box"];660[label="xy3000",fontsize=16,color="green",shape="box"];661[label="xy4000",fontsize=16,color="green",shape="box"];662[label="xy3000",fontsize=16,color="green",shape="box"];663[label="xy4000",fontsize=16,color="green",shape="box"];664[label="primEqNat (Succ xy40000) xy3000",fontsize=16,color="burlywood",shape="box"];1213[label="xy3000/Succ xy30000",fontsize=10,color="white",style="solid",shape="box"];664 -> 1213[label="",style="solid", color="burlywood", weight=9]; 17.47/6.50 1213 -> 828[label="",style="solid", color="burlywood", weight=3]; 17.47/6.50 1214[label="xy3000/Zero",fontsize=10,color="white",style="solid",shape="box"];664 -> 1214[label="",style="solid", color="burlywood", weight=9]; 17.47/6.50 1214 -> 829[label="",style="solid", color="burlywood", weight=3]; 17.47/6.50 665[label="primEqNat Zero xy3000",fontsize=16,color="burlywood",shape="box"];1215[label="xy3000/Succ xy30000",fontsize=10,color="white",style="solid",shape="box"];665 -> 1215[label="",style="solid", color="burlywood", weight=9]; 17.47/6.50 1215 -> 830[label="",style="solid", color="burlywood", weight=3]; 17.47/6.50 1216[label="xy3000/Zero",fontsize=10,color="white",style="solid",shape="box"];665 -> 1216[label="",style="solid", color="burlywood", weight=9]; 17.47/6.50 1216 -> 831[label="",style="solid", color="burlywood", weight=3]; 17.47/6.50 666[label="primEqInt (Pos (Succ xy40000)) (Pos (Succ xy30000))",fontsize=16,color="black",shape="box"];666 -> 832[label="",style="solid", color="black", weight=3]; 17.47/6.50 667[label="primEqInt (Pos (Succ xy40000)) (Pos Zero)",fontsize=16,color="black",shape="box"];667 -> 833[label="",style="solid", color="black", weight=3]; 17.47/6.50 668[label="False",fontsize=16,color="green",shape="box"];669[label="primEqInt (Pos Zero) (Pos (Succ xy30000))",fontsize=16,color="black",shape="box"];669 -> 834[label="",style="solid", color="black", weight=3]; 17.47/6.50 670[label="primEqInt (Pos Zero) (Pos Zero)",fontsize=16,color="black",shape="box"];670 -> 835[label="",style="solid", color="black", weight=3]; 17.47/6.50 671[label="primEqInt (Pos Zero) (Neg (Succ xy30000))",fontsize=16,color="black",shape="box"];671 -> 836[label="",style="solid", color="black", weight=3]; 17.47/6.50 672[label="primEqInt (Pos Zero) (Neg Zero)",fontsize=16,color="black",shape="box"];672 -> 837[label="",style="solid", color="black", weight=3]; 17.47/6.50 673[label="False",fontsize=16,color="green",shape="box"];674[label="primEqInt (Neg (Succ xy40000)) (Neg (Succ xy30000))",fontsize=16,color="black",shape="box"];674 -> 838[label="",style="solid", color="black", weight=3]; 17.47/6.50 675[label="primEqInt (Neg (Succ xy40000)) (Neg Zero)",fontsize=16,color="black",shape="box"];675 -> 839[label="",style="solid", color="black", weight=3]; 17.47/6.50 676[label="primEqInt (Neg Zero) (Pos (Succ xy30000))",fontsize=16,color="black",shape="box"];676 -> 840[label="",style="solid", color="black", weight=3]; 17.47/6.50 677[label="primEqInt (Neg Zero) (Pos Zero)",fontsize=16,color="black",shape="box"];677 -> 841[label="",style="solid", color="black", weight=3]; 17.47/6.50 678[label="primEqInt (Neg Zero) (Neg (Succ xy30000))",fontsize=16,color="black",shape="box"];678 -> 842[label="",style="solid", color="black", weight=3]; 17.47/6.50 679[label="primEqInt (Neg Zero) (Neg Zero)",fontsize=16,color="black",shape="box"];679 -> 843[label="",style="solid", color="black", weight=3]; 17.47/6.50 680[label="xy4001 * xy3000",fontsize=16,color="black",shape="triangle"];680 -> 844[label="",style="solid", color="black", weight=3]; 17.47/6.50 681 -> 680[label="",style="dashed", color="red", weight=0]; 17.47/6.50 681[label="xy4000 * xy3001",fontsize=16,color="magenta"];681 -> 845[label="",style="dashed", color="magenta", weight=3]; 17.47/6.50 681 -> 846[label="",style="dashed", color="magenta", weight=3]; 17.47/6.50 682 -> 680[label="",style="dashed", color="red", weight=0]; 17.47/6.50 682[label="xy4001 * xy3000",fontsize=16,color="magenta"];682 -> 847[label="",style="dashed", color="magenta", weight=3]; 17.47/6.50 682 -> 848[label="",style="dashed", color="magenta", weight=3]; 17.47/6.50 683 -> 680[label="",style="dashed", color="red", weight=0]; 17.47/6.50 683[label="xy4000 * xy3001",fontsize=16,color="magenta"];683 -> 849[label="",style="dashed", color="magenta", weight=3]; 17.47/6.50 683 -> 850[label="",style="dashed", color="magenta", weight=3]; 17.47/6.50 684 -> 346[label="",style="dashed", color="red", weight=0]; 17.47/6.50 684[label="xy4000 == xy3000",fontsize=16,color="magenta"];684 -> 851[label="",style="dashed", color="magenta", weight=3]; 17.47/6.50 684 -> 852[label="",style="dashed", color="magenta", weight=3]; 17.47/6.50 685 -> 353[label="",style="dashed", color="red", weight=0]; 17.47/6.50 685[label="xy4000 == xy3000",fontsize=16,color="magenta"];685 -> 853[label="",style="dashed", color="magenta", weight=3]; 17.47/6.50 685 -> 854[label="",style="dashed", color="magenta", weight=3]; 17.47/6.50 686 -> 346[label="",style="dashed", color="red", weight=0]; 17.47/6.50 686[label="xy4001 == xy3001",fontsize=16,color="magenta"];686 -> 855[label="",style="dashed", color="magenta", weight=3]; 17.47/6.50 686 -> 856[label="",style="dashed", color="magenta", weight=3]; 17.47/6.50 687 -> 353[label="",style="dashed", color="red", weight=0]; 17.47/6.50 687[label="xy4001 == xy3001",fontsize=16,color="magenta"];687 -> 857[label="",style="dashed", color="magenta", weight=3]; 17.47/6.50 687 -> 858[label="",style="dashed", color="magenta", weight=3]; 17.47/6.50 688[label="xy3010",fontsize=16,color="green",shape="box"];689[label="xy4010",fontsize=16,color="green",shape="box"];690[label="xy3010",fontsize=16,color="green",shape="box"];691[label="xy4010",fontsize=16,color="green",shape="box"];692[label="xy3010",fontsize=16,color="green",shape="box"];693[label="xy4010",fontsize=16,color="green",shape="box"];694[label="xy3010",fontsize=16,color="green",shape="box"];695[label="xy4010",fontsize=16,color="green",shape="box"];696[label="xy3010",fontsize=16,color="green",shape="box"];697[label="xy4010",fontsize=16,color="green",shape="box"];698[label="xy3010",fontsize=16,color="green",shape="box"];699[label="xy4010",fontsize=16,color="green",shape="box"];700[label="xy3010",fontsize=16,color="green",shape="box"];701[label="xy4010",fontsize=16,color="green",shape="box"];702[label="xy3010",fontsize=16,color="green",shape="box"];703[label="xy4010",fontsize=16,color="green",shape="box"];704[label="xy3010",fontsize=16,color="green",shape="box"];705[label="xy4010",fontsize=16,color="green",shape="box"];706[label="xy3010",fontsize=16,color="green",shape="box"];707[label="xy4010",fontsize=16,color="green",shape="box"];708[label="xy3010",fontsize=16,color="green",shape="box"];709[label="xy4010",fontsize=16,color="green",shape="box"];710[label="xy3010",fontsize=16,color="green",shape="box"];711[label="xy4010",fontsize=16,color="green",shape="box"];712[label="xy3010",fontsize=16,color="green",shape="box"];713[label="xy4010",fontsize=16,color="green",shape="box"];714[label="xy3010",fontsize=16,color="green",shape="box"];715[label="xy4010",fontsize=16,color="green",shape="box"];716[label="xy3000",fontsize=16,color="green",shape="box"];717[label="xy4000",fontsize=16,color="green",shape="box"];718[label="xy3000",fontsize=16,color="green",shape="box"];719[label="xy4000",fontsize=16,color="green",shape="box"];720[label="xy3000",fontsize=16,color="green",shape="box"];721[label="xy4000",fontsize=16,color="green",shape="box"];722[label="xy3000",fontsize=16,color="green",shape="box"];723[label="xy4000",fontsize=16,color="green",shape="box"];724[label="xy3000",fontsize=16,color="green",shape="box"];725[label="xy4000",fontsize=16,color="green",shape="box"];726[label="xy3000",fontsize=16,color="green",shape="box"];727[label="xy4000",fontsize=16,color="green",shape="box"];728[label="xy3000",fontsize=16,color="green",shape="box"];729[label="xy4000",fontsize=16,color="green",shape="box"];730[label="xy3000",fontsize=16,color="green",shape="box"];731[label="xy4000",fontsize=16,color="green",shape="box"];732[label="xy3000",fontsize=16,color="green",shape="box"];733[label="xy4000",fontsize=16,color="green",shape="box"];734[label="xy3000",fontsize=16,color="green",shape="box"];735[label="xy4000",fontsize=16,color="green",shape="box"];736[label="xy3000",fontsize=16,color="green",shape="box"];737[label="xy4000",fontsize=16,color="green",shape="box"];738[label="xy3000",fontsize=16,color="green",shape="box"];739[label="xy4000",fontsize=16,color="green",shape="box"];740[label="xy3000",fontsize=16,color="green",shape="box"];741[label="xy4000",fontsize=16,color="green",shape="box"];742[label="xy3000",fontsize=16,color="green",shape="box"];743[label="xy4000",fontsize=16,color="green",shape="box"];744[label="xy3001",fontsize=16,color="green",shape="box"];745[label="xy4001",fontsize=16,color="green",shape="box"];746[label="xy3001",fontsize=16,color="green",shape="box"];747[label="xy4001",fontsize=16,color="green",shape="box"];748[label="xy3001",fontsize=16,color="green",shape="box"];749[label="xy4001",fontsize=16,color="green",shape="box"];750[label="xy3001",fontsize=16,color="green",shape="box"];751[label="xy4001",fontsize=16,color="green",shape="box"];752[label="xy3001",fontsize=16,color="green",shape="box"];753[label="xy4001",fontsize=16,color="green",shape="box"];754[label="xy3001",fontsize=16,color="green",shape="box"];755[label="xy4001",fontsize=16,color="green",shape="box"];756[label="xy3001",fontsize=16,color="green",shape="box"];757[label="xy4001",fontsize=16,color="green",shape="box"];758[label="xy3001",fontsize=16,color="green",shape="box"];759[label="xy4001",fontsize=16,color="green",shape="box"];760[label="xy3001",fontsize=16,color="green",shape="box"];761[label="xy4001",fontsize=16,color="green",shape="box"];762[label="xy3001",fontsize=16,color="green",shape="box"];763[label="xy4001",fontsize=16,color="green",shape="box"];764[label="xy3001",fontsize=16,color="green",shape="box"];765[label="xy4001",fontsize=16,color="green",shape="box"];766[label="xy3001",fontsize=16,color="green",shape="box"];767[label="xy4001",fontsize=16,color="green",shape="box"];768[label="xy3001",fontsize=16,color="green",shape="box"];769[label="xy4001",fontsize=16,color="green",shape="box"];770[label="xy3001",fontsize=16,color="green",shape="box"];771[label="xy4001",fontsize=16,color="green",shape="box"];772[label="xy3000",fontsize=16,color="green",shape="box"];773[label="xy4000",fontsize=16,color="green",shape="box"];774[label="xy3000",fontsize=16,color="green",shape="box"];775[label="xy4000",fontsize=16,color="green",shape="box"];776[label="xy3000",fontsize=16,color="green",shape="box"];777[label="xy4000",fontsize=16,color="green",shape="box"];778[label="xy3000",fontsize=16,color="green",shape="box"];779[label="xy4000",fontsize=16,color="green",shape="box"];780[label="xy3000",fontsize=16,color="green",shape="box"];781[label="xy4000",fontsize=16,color="green",shape="box"];782[label="xy3000",fontsize=16,color="green",shape="box"];783[label="xy4000",fontsize=16,color="green",shape="box"];784[label="xy3000",fontsize=16,color="green",shape="box"];785[label="xy4000",fontsize=16,color="green",shape="box"];786[label="xy3000",fontsize=16,color="green",shape="box"];787[label="xy4000",fontsize=16,color="green",shape="box"];788[label="xy3000",fontsize=16,color="green",shape="box"];789[label="xy4000",fontsize=16,color="green",shape="box"];790[label="xy3000",fontsize=16,color="green",shape="box"];791[label="xy4000",fontsize=16,color="green",shape="box"];792[label="xy3000",fontsize=16,color="green",shape="box"];793[label="xy4000",fontsize=16,color="green",shape="box"];794[label="xy3000",fontsize=16,color="green",shape="box"];795[label="xy4000",fontsize=16,color="green",shape="box"];796[label="xy3000",fontsize=16,color="green",shape="box"];797[label="xy4000",fontsize=16,color="green",shape="box"];798[label="xy3000",fontsize=16,color="green",shape="box"];799[label="xy4000",fontsize=16,color="green",shape="box"];800 -> 345[label="",style="dashed", color="red", weight=0]; 17.47/6.50 800[label="xy4001 == xy3001",fontsize=16,color="magenta"];800 -> 859[label="",style="dashed", color="magenta", weight=3]; 17.47/6.50 800 -> 860[label="",style="dashed", color="magenta", weight=3]; 17.47/6.50 801 -> 346[label="",style="dashed", color="red", weight=0]; 17.47/6.50 801[label="xy4001 == xy3001",fontsize=16,color="magenta"];801 -> 861[label="",style="dashed", color="magenta", weight=3]; 17.47/6.50 801 -> 862[label="",style="dashed", color="magenta", weight=3]; 17.47/6.50 802 -> 347[label="",style="dashed", color="red", weight=0]; 17.47/6.50 802[label="xy4001 == xy3001",fontsize=16,color="magenta"];802 -> 863[label="",style="dashed", color="magenta", weight=3]; 17.47/6.50 802 -> 864[label="",style="dashed", color="magenta", weight=3]; 17.47/6.50 803 -> 348[label="",style="dashed", color="red", weight=0]; 17.47/6.50 803[label="xy4001 == xy3001",fontsize=16,color="magenta"];803 -> 865[label="",style="dashed", color="magenta", weight=3]; 17.47/6.50 803 -> 866[label="",style="dashed", color="magenta", weight=3]; 17.47/6.50 804 -> 349[label="",style="dashed", color="red", weight=0]; 17.47/6.50 804[label="xy4001 == xy3001",fontsize=16,color="magenta"];804 -> 867[label="",style="dashed", color="magenta", weight=3]; 17.47/6.50 804 -> 868[label="",style="dashed", color="magenta", weight=3]; 17.47/6.50 805 -> 350[label="",style="dashed", color="red", weight=0]; 17.47/6.50 805[label="xy4001 == xy3001",fontsize=16,color="magenta"];805 -> 869[label="",style="dashed", color="magenta", weight=3]; 17.47/6.50 805 -> 870[label="",style="dashed", color="magenta", weight=3]; 17.47/6.50 806 -> 351[label="",style="dashed", color="red", weight=0]; 17.47/6.50 806[label="xy4001 == xy3001",fontsize=16,color="magenta"];806 -> 871[label="",style="dashed", color="magenta", weight=3]; 17.47/6.50 806 -> 872[label="",style="dashed", color="magenta", weight=3]; 17.47/6.50 807 -> 352[label="",style="dashed", color="red", weight=0]; 17.47/6.50 807[label="xy4001 == xy3001",fontsize=16,color="magenta"];807 -> 873[label="",style="dashed", color="magenta", weight=3]; 17.47/6.50 807 -> 874[label="",style="dashed", color="magenta", weight=3]; 17.47/6.50 808 -> 353[label="",style="dashed", color="red", weight=0]; 17.47/6.50 808[label="xy4001 == xy3001",fontsize=16,color="magenta"];808 -> 875[label="",style="dashed", color="magenta", weight=3]; 17.47/6.50 808 -> 876[label="",style="dashed", color="magenta", weight=3]; 17.47/6.50 809 -> 354[label="",style="dashed", color="red", weight=0]; 17.47/6.50 809[label="xy4001 == xy3001",fontsize=16,color="magenta"];809 -> 877[label="",style="dashed", color="magenta", weight=3]; 17.47/6.50 809 -> 878[label="",style="dashed", color="magenta", weight=3]; 17.47/6.50 810 -> 342[label="",style="dashed", color="red", weight=0]; 17.47/6.50 810[label="xy4001 == xy3001",fontsize=16,color="magenta"];810 -> 879[label="",style="dashed", color="magenta", weight=3]; 17.47/6.50 810 -> 880[label="",style="dashed", color="magenta", weight=3]; 17.47/6.50 811 -> 356[label="",style="dashed", color="red", weight=0]; 17.47/6.50 811[label="xy4001 == xy3001",fontsize=16,color="magenta"];811 -> 881[label="",style="dashed", color="magenta", weight=3]; 17.47/6.50 811 -> 882[label="",style="dashed", color="magenta", weight=3]; 17.47/6.50 812 -> 357[label="",style="dashed", color="red", weight=0]; 17.47/6.50 812[label="xy4001 == xy3001",fontsize=16,color="magenta"];812 -> 883[label="",style="dashed", color="magenta", weight=3]; 17.47/6.50 812 -> 884[label="",style="dashed", color="magenta", weight=3]; 17.47/6.50 813 -> 358[label="",style="dashed", color="red", weight=0]; 17.47/6.50 813[label="xy4001 == xy3001",fontsize=16,color="magenta"];813 -> 885[label="",style="dashed", color="magenta", weight=3]; 17.47/6.50 813 -> 886[label="",style="dashed", color="magenta", weight=3]; 17.47/6.50 814 -> 345[label="",style="dashed", color="red", weight=0]; 17.47/6.50 814[label="xy4002 == xy3002",fontsize=16,color="magenta"];814 -> 887[label="",style="dashed", color="magenta", weight=3]; 17.47/6.50 814 -> 888[label="",style="dashed", color="magenta", weight=3]; 17.47/6.50 815 -> 346[label="",style="dashed", color="red", weight=0]; 17.47/6.50 815[label="xy4002 == xy3002",fontsize=16,color="magenta"];815 -> 889[label="",style="dashed", color="magenta", weight=3]; 17.47/6.50 815 -> 890[label="",style="dashed", color="magenta", weight=3]; 17.47/6.50 816 -> 347[label="",style="dashed", color="red", weight=0]; 17.47/6.50 816[label="xy4002 == xy3002",fontsize=16,color="magenta"];816 -> 891[label="",style="dashed", color="magenta", weight=3]; 17.47/6.50 816 -> 892[label="",style="dashed", color="magenta", weight=3]; 17.47/6.50 817 -> 348[label="",style="dashed", color="red", weight=0]; 17.47/6.50 817[label="xy4002 == xy3002",fontsize=16,color="magenta"];817 -> 893[label="",style="dashed", color="magenta", weight=3]; 17.47/6.50 817 -> 894[label="",style="dashed", color="magenta", weight=3]; 17.47/6.50 818 -> 349[label="",style="dashed", color="red", weight=0]; 17.47/6.50 818[label="xy4002 == xy3002",fontsize=16,color="magenta"];818 -> 895[label="",style="dashed", color="magenta", weight=3]; 17.47/6.50 818 -> 896[label="",style="dashed", color="magenta", weight=3]; 17.47/6.50 819 -> 350[label="",style="dashed", color="red", weight=0]; 17.47/6.50 819[label="xy4002 == xy3002",fontsize=16,color="magenta"];819 -> 897[label="",style="dashed", color="magenta", weight=3]; 17.47/6.50 819 -> 898[label="",style="dashed", color="magenta", weight=3]; 17.47/6.50 820 -> 351[label="",style="dashed", color="red", weight=0]; 17.47/6.50 820[label="xy4002 == xy3002",fontsize=16,color="magenta"];820 -> 899[label="",style="dashed", color="magenta", weight=3]; 17.47/6.50 820 -> 900[label="",style="dashed", color="magenta", weight=3]; 17.47/6.50 821 -> 352[label="",style="dashed", color="red", weight=0]; 17.47/6.50 821[label="xy4002 == xy3002",fontsize=16,color="magenta"];821 -> 901[label="",style="dashed", color="magenta", weight=3]; 17.47/6.50 821 -> 902[label="",style="dashed", color="magenta", weight=3]; 17.47/6.50 822 -> 353[label="",style="dashed", color="red", weight=0]; 17.47/6.50 822[label="xy4002 == xy3002",fontsize=16,color="magenta"];822 -> 903[label="",style="dashed", color="magenta", weight=3]; 17.47/6.50 822 -> 904[label="",style="dashed", color="magenta", weight=3]; 17.47/6.50 823 -> 354[label="",style="dashed", color="red", weight=0]; 17.47/6.50 823[label="xy4002 == xy3002",fontsize=16,color="magenta"];823 -> 905[label="",style="dashed", color="magenta", weight=3]; 17.47/6.50 823 -> 906[label="",style="dashed", color="magenta", weight=3]; 17.47/6.50 824 -> 342[label="",style="dashed", color="red", weight=0]; 17.47/6.50 824[label="xy4002 == xy3002",fontsize=16,color="magenta"];824 -> 907[label="",style="dashed", color="magenta", weight=3]; 17.47/6.50 824 -> 908[label="",style="dashed", color="magenta", weight=3]; 17.47/6.50 825 -> 356[label="",style="dashed", color="red", weight=0]; 17.47/6.50 825[label="xy4002 == xy3002",fontsize=16,color="magenta"];825 -> 909[label="",style="dashed", color="magenta", weight=3]; 17.47/6.50 825 -> 910[label="",style="dashed", color="magenta", weight=3]; 17.47/6.50 826 -> 357[label="",style="dashed", color="red", weight=0]; 17.47/6.50 826[label="xy4002 == xy3002",fontsize=16,color="magenta"];826 -> 911[label="",style="dashed", color="magenta", weight=3]; 17.47/6.50 826 -> 912[label="",style="dashed", color="magenta", weight=3]; 17.47/6.50 827 -> 358[label="",style="dashed", color="red", weight=0]; 17.47/6.50 827[label="xy4002 == xy3002",fontsize=16,color="magenta"];827 -> 913[label="",style="dashed", color="magenta", weight=3]; 17.47/6.50 827 -> 914[label="",style="dashed", color="magenta", weight=3]; 17.47/6.50 828[label="primEqNat (Succ xy40000) (Succ xy30000)",fontsize=16,color="black",shape="box"];828 -> 915[label="",style="solid", color="black", weight=3]; 17.47/6.50 829[label="primEqNat (Succ xy40000) Zero",fontsize=16,color="black",shape="box"];829 -> 916[label="",style="solid", color="black", weight=3]; 17.47/6.50 830[label="primEqNat Zero (Succ xy30000)",fontsize=16,color="black",shape="box"];830 -> 917[label="",style="solid", color="black", weight=3]; 17.47/6.50 831[label="primEqNat Zero Zero",fontsize=16,color="black",shape="box"];831 -> 918[label="",style="solid", color="black", weight=3]; 17.47/6.50 832 -> 507[label="",style="dashed", color="red", weight=0]; 17.47/6.50 832[label="primEqNat xy40000 xy30000",fontsize=16,color="magenta"];832 -> 919[label="",style="dashed", color="magenta", weight=3]; 17.47/6.50 832 -> 920[label="",style="dashed", color="magenta", weight=3]; 17.47/6.50 833[label="False",fontsize=16,color="green",shape="box"];834[label="False",fontsize=16,color="green",shape="box"];835[label="True",fontsize=16,color="green",shape="box"];836[label="False",fontsize=16,color="green",shape="box"];837[label="True",fontsize=16,color="green",shape="box"];838 -> 507[label="",style="dashed", color="red", weight=0]; 17.47/6.50 838[label="primEqNat xy40000 xy30000",fontsize=16,color="magenta"];838 -> 921[label="",style="dashed", color="magenta", weight=3]; 17.47/6.50 838 -> 922[label="",style="dashed", color="magenta", weight=3]; 17.47/6.50 839[label="False",fontsize=16,color="green",shape="box"];840[label="False",fontsize=16,color="green",shape="box"];841[label="True",fontsize=16,color="green",shape="box"];842[label="False",fontsize=16,color="green",shape="box"];843[label="True",fontsize=16,color="green",shape="box"];844[label="primMulInt xy4001 xy3000",fontsize=16,color="burlywood",shape="box"];1217[label="xy4001/Pos xy40010",fontsize=10,color="white",style="solid",shape="box"];844 -> 1217[label="",style="solid", color="burlywood", weight=9]; 17.47/6.50 1217 -> 923[label="",style="solid", color="burlywood", weight=3]; 17.47/6.50 1218[label="xy4001/Neg xy40010",fontsize=10,color="white",style="solid",shape="box"];844 -> 1218[label="",style="solid", color="burlywood", weight=9]; 17.47/6.50 1218 -> 924[label="",style="solid", color="burlywood", weight=3]; 17.47/6.50 845[label="xy4000",fontsize=16,color="green",shape="box"];846[label="xy3001",fontsize=16,color="green",shape="box"];847[label="xy4001",fontsize=16,color="green",shape="box"];848[label="xy3000",fontsize=16,color="green",shape="box"];849[label="xy4000",fontsize=16,color="green",shape="box"];850[label="xy3001",fontsize=16,color="green",shape="box"];851[label="xy3000",fontsize=16,color="green",shape="box"];852[label="xy4000",fontsize=16,color="green",shape="box"];853[label="xy3000",fontsize=16,color="green",shape="box"];854[label="xy4000",fontsize=16,color="green",shape="box"];855[label="xy3001",fontsize=16,color="green",shape="box"];856[label="xy4001",fontsize=16,color="green",shape="box"];857[label="xy3001",fontsize=16,color="green",shape="box"];858[label="xy4001",fontsize=16,color="green",shape="box"];859[label="xy3001",fontsize=16,color="green",shape="box"];860[label="xy4001",fontsize=16,color="green",shape="box"];861[label="xy3001",fontsize=16,color="green",shape="box"];862[label="xy4001",fontsize=16,color="green",shape="box"];863[label="xy3001",fontsize=16,color="green",shape="box"];864[label="xy4001",fontsize=16,color="green",shape="box"];865[label="xy3001",fontsize=16,color="green",shape="box"];866[label="xy4001",fontsize=16,color="green",shape="box"];867[label="xy3001",fontsize=16,color="green",shape="box"];868[label="xy4001",fontsize=16,color="green",shape="box"];869[label="xy3001",fontsize=16,color="green",shape="box"];870[label="xy4001",fontsize=16,color="green",shape="box"];871[label="xy3001",fontsize=16,color="green",shape="box"];872[label="xy4001",fontsize=16,color="green",shape="box"];873[label="xy3001",fontsize=16,color="green",shape="box"];874[label="xy4001",fontsize=16,color="green",shape="box"];875[label="xy3001",fontsize=16,color="green",shape="box"];876[label="xy4001",fontsize=16,color="green",shape="box"];877[label="xy3001",fontsize=16,color="green",shape="box"];878[label="xy4001",fontsize=16,color="green",shape="box"];879[label="xy3001",fontsize=16,color="green",shape="box"];880[label="xy4001",fontsize=16,color="green",shape="box"];881[label="xy3001",fontsize=16,color="green",shape="box"];882[label="xy4001",fontsize=16,color="green",shape="box"];883[label="xy3001",fontsize=16,color="green",shape="box"];884[label="xy4001",fontsize=16,color="green",shape="box"];885[label="xy3001",fontsize=16,color="green",shape="box"];886[label="xy4001",fontsize=16,color="green",shape="box"];887[label="xy3002",fontsize=16,color="green",shape="box"];888[label="xy4002",fontsize=16,color="green",shape="box"];889[label="xy3002",fontsize=16,color="green",shape="box"];890[label="xy4002",fontsize=16,color="green",shape="box"];891[label="xy3002",fontsize=16,color="green",shape="box"];892[label="xy4002",fontsize=16,color="green",shape="box"];893[label="xy3002",fontsize=16,color="green",shape="box"];894[label="xy4002",fontsize=16,color="green",shape="box"];895[label="xy3002",fontsize=16,color="green",shape="box"];896[label="xy4002",fontsize=16,color="green",shape="box"];897[label="xy3002",fontsize=16,color="green",shape="box"];898[label="xy4002",fontsize=16,color="green",shape="box"];899[label="xy3002",fontsize=16,color="green",shape="box"];900[label="xy4002",fontsize=16,color="green",shape="box"];901[label="xy3002",fontsize=16,color="green",shape="box"];902[label="xy4002",fontsize=16,color="green",shape="box"];903[label="xy3002",fontsize=16,color="green",shape="box"];904[label="xy4002",fontsize=16,color="green",shape="box"];905[label="xy3002",fontsize=16,color="green",shape="box"];906[label="xy4002",fontsize=16,color="green",shape="box"];907[label="xy3002",fontsize=16,color="green",shape="box"];908[label="xy4002",fontsize=16,color="green",shape="box"];909[label="xy3002",fontsize=16,color="green",shape="box"];910[label="xy4002",fontsize=16,color="green",shape="box"];911[label="xy3002",fontsize=16,color="green",shape="box"];912[label="xy4002",fontsize=16,color="green",shape="box"];913[label="xy3002",fontsize=16,color="green",shape="box"];914[label="xy4002",fontsize=16,color="green",shape="box"];915 -> 507[label="",style="dashed", color="red", weight=0]; 17.47/6.50 915[label="primEqNat xy40000 xy30000",fontsize=16,color="magenta"];915 -> 925[label="",style="dashed", color="magenta", weight=3]; 17.47/6.50 915 -> 926[label="",style="dashed", color="magenta", weight=3]; 17.47/6.50 916[label="False",fontsize=16,color="green",shape="box"];917[label="False",fontsize=16,color="green",shape="box"];918[label="True",fontsize=16,color="green",shape="box"];919[label="xy30000",fontsize=16,color="green",shape="box"];920[label="xy40000",fontsize=16,color="green",shape="box"];921[label="xy30000",fontsize=16,color="green",shape="box"];922[label="xy40000",fontsize=16,color="green",shape="box"];923[label="primMulInt (Pos xy40010) xy3000",fontsize=16,color="burlywood",shape="box"];1219[label="xy3000/Pos xy30000",fontsize=10,color="white",style="solid",shape="box"];923 -> 1219[label="",style="solid", color="burlywood", weight=9]; 17.47/6.50 1219 -> 927[label="",style="solid", color="burlywood", weight=3]; 17.47/6.50 1220[label="xy3000/Neg xy30000",fontsize=10,color="white",style="solid",shape="box"];923 -> 1220[label="",style="solid", color="burlywood", weight=9]; 17.47/6.50 1220 -> 928[label="",style="solid", color="burlywood", weight=3]; 17.47/6.50 924[label="primMulInt (Neg xy40010) xy3000",fontsize=16,color="burlywood",shape="box"];1221[label="xy3000/Pos xy30000",fontsize=10,color="white",style="solid",shape="box"];924 -> 1221[label="",style="solid", color="burlywood", weight=9]; 17.47/6.50 1221 -> 929[label="",style="solid", color="burlywood", weight=3]; 17.47/6.50 1222[label="xy3000/Neg xy30000",fontsize=10,color="white",style="solid",shape="box"];924 -> 1222[label="",style="solid", color="burlywood", weight=9]; 17.47/6.50 1222 -> 930[label="",style="solid", color="burlywood", weight=3]; 17.47/6.50 925[label="xy30000",fontsize=16,color="green",shape="box"];926[label="xy40000",fontsize=16,color="green",shape="box"];927[label="primMulInt (Pos xy40010) (Pos xy30000)",fontsize=16,color="black",shape="box"];927 -> 931[label="",style="solid", color="black", weight=3]; 17.47/6.50 928[label="primMulInt (Pos xy40010) (Neg xy30000)",fontsize=16,color="black",shape="box"];928 -> 932[label="",style="solid", color="black", weight=3]; 17.47/6.50 929[label="primMulInt (Neg xy40010) (Pos xy30000)",fontsize=16,color="black",shape="box"];929 -> 933[label="",style="solid", color="black", weight=3]; 17.47/6.50 930[label="primMulInt (Neg xy40010) (Neg xy30000)",fontsize=16,color="black",shape="box"];930 -> 934[label="",style="solid", color="black", weight=3]; 17.47/6.50 931[label="Pos (primMulNat xy40010 xy30000)",fontsize=16,color="green",shape="box"];931 -> 935[label="",style="dashed", color="green", weight=3]; 17.47/6.50 932[label="Neg (primMulNat xy40010 xy30000)",fontsize=16,color="green",shape="box"];932 -> 936[label="",style="dashed", color="green", weight=3]; 17.47/6.50 933[label="Neg (primMulNat xy40010 xy30000)",fontsize=16,color="green",shape="box"];933 -> 937[label="",style="dashed", color="green", weight=3]; 17.47/6.50 934[label="Pos (primMulNat xy40010 xy30000)",fontsize=16,color="green",shape="box"];934 -> 938[label="",style="dashed", color="green", weight=3]; 17.47/6.50 935[label="primMulNat xy40010 xy30000",fontsize=16,color="burlywood",shape="triangle"];1223[label="xy40010/Succ xy400100",fontsize=10,color="white",style="solid",shape="box"];935 -> 1223[label="",style="solid", color="burlywood", weight=9]; 17.47/6.50 1223 -> 939[label="",style="solid", color="burlywood", weight=3]; 17.47/6.50 1224[label="xy40010/Zero",fontsize=10,color="white",style="solid",shape="box"];935 -> 1224[label="",style="solid", color="burlywood", weight=9]; 17.47/6.50 1224 -> 940[label="",style="solid", color="burlywood", weight=3]; 17.47/6.50 936 -> 935[label="",style="dashed", color="red", weight=0]; 17.47/6.50 936[label="primMulNat xy40010 xy30000",fontsize=16,color="magenta"];936 -> 941[label="",style="dashed", color="magenta", weight=3]; 17.47/6.50 937 -> 935[label="",style="dashed", color="red", weight=0]; 17.47/6.50 937[label="primMulNat xy40010 xy30000",fontsize=16,color="magenta"];937 -> 942[label="",style="dashed", color="magenta", weight=3]; 17.47/6.50 938 -> 935[label="",style="dashed", color="red", weight=0]; 17.47/6.50 938[label="primMulNat xy40010 xy30000",fontsize=16,color="magenta"];938 -> 943[label="",style="dashed", color="magenta", weight=3]; 17.47/6.50 938 -> 944[label="",style="dashed", color="magenta", weight=3]; 17.47/6.50 939[label="primMulNat (Succ xy400100) xy30000",fontsize=16,color="burlywood",shape="box"];1225[label="xy30000/Succ xy300000",fontsize=10,color="white",style="solid",shape="box"];939 -> 1225[label="",style="solid", color="burlywood", weight=9]; 17.47/6.50 1225 -> 945[label="",style="solid", color="burlywood", weight=3]; 17.47/6.50 1226[label="xy30000/Zero",fontsize=10,color="white",style="solid",shape="box"];939 -> 1226[label="",style="solid", color="burlywood", weight=9]; 17.47/6.50 1226 -> 946[label="",style="solid", color="burlywood", weight=3]; 17.47/6.50 940[label="primMulNat Zero xy30000",fontsize=16,color="burlywood",shape="box"];1227[label="xy30000/Succ xy300000",fontsize=10,color="white",style="solid",shape="box"];940 -> 1227[label="",style="solid", color="burlywood", weight=9]; 17.47/6.50 1227 -> 947[label="",style="solid", color="burlywood", weight=3]; 17.47/6.50 1228[label="xy30000/Zero",fontsize=10,color="white",style="solid",shape="box"];940 -> 1228[label="",style="solid", color="burlywood", weight=9]; 17.47/6.50 1228 -> 948[label="",style="solid", color="burlywood", weight=3]; 17.47/6.50 941[label="xy30000",fontsize=16,color="green",shape="box"];942[label="xy40010",fontsize=16,color="green",shape="box"];943[label="xy30000",fontsize=16,color="green",shape="box"];944[label="xy40010",fontsize=16,color="green",shape="box"];945[label="primMulNat (Succ xy400100) (Succ xy300000)",fontsize=16,color="black",shape="box"];945 -> 949[label="",style="solid", color="black", weight=3]; 17.47/6.50 946[label="primMulNat (Succ xy400100) Zero",fontsize=16,color="black",shape="box"];946 -> 950[label="",style="solid", color="black", weight=3]; 17.47/6.50 947[label="primMulNat Zero (Succ xy300000)",fontsize=16,color="black",shape="box"];947 -> 951[label="",style="solid", color="black", weight=3]; 17.47/6.50 948[label="primMulNat Zero Zero",fontsize=16,color="black",shape="box"];948 -> 952[label="",style="solid", color="black", weight=3]; 17.47/6.50 949 -> 953[label="",style="dashed", color="red", weight=0]; 17.47/6.50 949[label="primPlusNat (primMulNat xy400100 (Succ xy300000)) (Succ xy300000)",fontsize=16,color="magenta"];949 -> 954[label="",style="dashed", color="magenta", weight=3]; 17.47/6.50 950[label="Zero",fontsize=16,color="green",shape="box"];951[label="Zero",fontsize=16,color="green",shape="box"];952[label="Zero",fontsize=16,color="green",shape="box"];954 -> 935[label="",style="dashed", color="red", weight=0]; 17.47/6.50 954[label="primMulNat xy400100 (Succ xy300000)",fontsize=16,color="magenta"];954 -> 955[label="",style="dashed", color="magenta", weight=3]; 17.47/6.50 954 -> 956[label="",style="dashed", color="magenta", weight=3]; 17.47/6.50 953[label="primPlusNat xy32 (Succ xy300000)",fontsize=16,color="burlywood",shape="triangle"];1229[label="xy32/Succ xy320",fontsize=10,color="white",style="solid",shape="box"];953 -> 1229[label="",style="solid", color="burlywood", weight=9]; 17.47/6.50 1229 -> 957[label="",style="solid", color="burlywood", weight=3]; 17.47/6.50 1230[label="xy32/Zero",fontsize=10,color="white",style="solid",shape="box"];953 -> 1230[label="",style="solid", color="burlywood", weight=9]; 17.47/6.50 1230 -> 958[label="",style="solid", color="burlywood", weight=3]; 17.47/6.50 955[label="Succ xy300000",fontsize=16,color="green",shape="box"];956[label="xy400100",fontsize=16,color="green",shape="box"];957[label="primPlusNat (Succ xy320) (Succ xy300000)",fontsize=16,color="black",shape="box"];957 -> 959[label="",style="solid", color="black", weight=3]; 17.47/6.50 958[label="primPlusNat Zero (Succ xy300000)",fontsize=16,color="black",shape="box"];958 -> 960[label="",style="solid", color="black", weight=3]; 17.47/6.50 959[label="Succ (Succ (primPlusNat xy320 xy300000))",fontsize=16,color="green",shape="box"];959 -> 961[label="",style="dashed", color="green", weight=3]; 17.47/6.50 960[label="Succ xy300000",fontsize=16,color="green",shape="box"];961[label="primPlusNat xy320 xy300000",fontsize=16,color="burlywood",shape="triangle"];1231[label="xy320/Succ xy3200",fontsize=10,color="white",style="solid",shape="box"];961 -> 1231[label="",style="solid", color="burlywood", weight=9]; 17.47/6.50 1231 -> 962[label="",style="solid", color="burlywood", weight=3]; 17.47/6.50 1232[label="xy320/Zero",fontsize=10,color="white",style="solid",shape="box"];961 -> 1232[label="",style="solid", color="burlywood", weight=9]; 17.47/6.50 1232 -> 963[label="",style="solid", color="burlywood", weight=3]; 17.47/6.50 962[label="primPlusNat (Succ xy3200) xy300000",fontsize=16,color="burlywood",shape="box"];1233[label="xy300000/Succ xy3000000",fontsize=10,color="white",style="solid",shape="box"];962 -> 1233[label="",style="solid", color="burlywood", weight=9]; 17.47/6.50 1233 -> 964[label="",style="solid", color="burlywood", weight=3]; 17.47/6.50 1234[label="xy300000/Zero",fontsize=10,color="white",style="solid",shape="box"];962 -> 1234[label="",style="solid", color="burlywood", weight=9]; 17.47/6.50 1234 -> 965[label="",style="solid", color="burlywood", weight=3]; 17.47/6.50 963[label="primPlusNat Zero xy300000",fontsize=16,color="burlywood",shape="box"];1235[label="xy300000/Succ xy3000000",fontsize=10,color="white",style="solid",shape="box"];963 -> 1235[label="",style="solid", color="burlywood", weight=9]; 17.47/6.50 1235 -> 966[label="",style="solid", color="burlywood", weight=3]; 17.47/6.50 1236[label="xy300000/Zero",fontsize=10,color="white",style="solid",shape="box"];963 -> 1236[label="",style="solid", color="burlywood", weight=9]; 17.47/6.50 1236 -> 967[label="",style="solid", color="burlywood", weight=3]; 17.47/6.50 964[label="primPlusNat (Succ xy3200) (Succ xy3000000)",fontsize=16,color="black",shape="box"];964 -> 968[label="",style="solid", color="black", weight=3]; 17.47/6.50 965[label="primPlusNat (Succ xy3200) Zero",fontsize=16,color="black",shape="box"];965 -> 969[label="",style="solid", color="black", weight=3]; 17.47/6.50 966[label="primPlusNat Zero (Succ xy3000000)",fontsize=16,color="black",shape="box"];966 -> 970[label="",style="solid", color="black", weight=3]; 17.47/6.50 967[label="primPlusNat Zero Zero",fontsize=16,color="black",shape="box"];967 -> 971[label="",style="solid", color="black", weight=3]; 17.47/6.50 968[label="Succ (Succ (primPlusNat xy3200 xy3000000))",fontsize=16,color="green",shape="box"];968 -> 972[label="",style="dashed", color="green", weight=3]; 17.47/6.50 969[label="Succ xy3200",fontsize=16,color="green",shape="box"];970[label="Succ xy3000000",fontsize=16,color="green",shape="box"];971[label="Zero",fontsize=16,color="green",shape="box"];972 -> 961[label="",style="dashed", color="red", weight=0]; 17.47/6.50 972[label="primPlusNat xy3200 xy3000000",fontsize=16,color="magenta"];972 -> 973[label="",style="dashed", color="magenta", weight=3]; 17.47/6.50 972 -> 974[label="",style="dashed", color="magenta", weight=3]; 17.47/6.50 973[label="xy3000000",fontsize=16,color="green",shape="box"];974[label="xy3200",fontsize=16,color="green",shape="box"];} 17.47/6.50 17.47/6.50 ---------------------------------------- 17.47/6.50 17.47/6.50 (8) 17.47/6.50 Complex Obligation (AND) 17.47/6.50 17.47/6.50 ---------------------------------------- 17.47/6.50 17.47/6.50 (9) 17.47/6.50 Obligation: 17.47/6.50 Q DP problem: 17.47/6.50 The TRS P consists of the following rules: 17.47/6.50 17.47/6.50 new_deleteBy0(xy12, xy13, xy14, xy15, xy16, False, ba) -> new_deleteBy(:(xy15, xy16), xy12, ba) 17.47/6.50 new_deleteBy(:(xy400, xy401), :(:(xy300, xy301), xy31), bb) -> new_deleteBy0(xy31, xy300, xy301, xy400, xy401, new_asAs(new_esEs4(xy400, xy300, bb), new_esEs5(xy401, xy301, bb)), bb) 17.47/6.50 new_deleteBy(:(xy400, xy401), :([], xy31), bb) -> new_deleteBy(:(xy400, xy401), xy31, bb) 17.47/6.50 new_deleteBy([], :(:(xy300, xy301), xy31), bb) -> new_deleteBy([], xy31, bb) 17.47/6.50 17.47/6.50 The TRS R consists of the following rules: 17.47/6.50 17.47/6.50 new_primEqInt(Pos(Zero), Pos(Zero)) -> True 17.47/6.50 new_primPlusNat0(Zero, Zero) -> Zero 17.47/6.50 new_esEs11(Right(xy4000), Right(xy3000), da, app(app(ty_Either, baa), bab)) -> new_esEs11(xy4000, xy3000, baa, bab) 17.47/6.50 new_esEs21(xy4010, xy3010, app(ty_Ratio, dg)) -> new_esEs18(xy4010, xy3010, dg) 17.47/6.50 new_esEs20(xy4001, xy3001, ty_Ordering) -> new_esEs16(xy4001, xy3001) 17.47/6.50 new_esEs19(xy4000, xy3000, ty_Double) -> new_esEs15(xy4000, xy3000) 17.47/6.50 new_esEs4(xy400, xy300, ty_Char) -> new_esEs13(xy400, xy300) 17.47/6.50 new_esEs6(False, True) -> False 17.47/6.50 new_esEs6(True, False) -> False 17.47/6.50 new_esEs12(@3(xy4000, xy4001, xy4002), @3(xy3000, xy3001, xy3002), dc, dd, de) -> new_asAs(new_esEs24(xy4000, xy3000, dc), new_asAs(new_esEs25(xy4001, xy3001, dd), new_esEs26(xy4002, xy3002, de))) 17.47/6.50 new_esEs21(xy4010, xy3010, ty_Int) -> new_esEs14(xy4010, xy3010) 17.47/6.50 new_esEs20(xy4001, xy3001, ty_Bool) -> new_esEs6(xy4001, xy3001) 17.47/6.50 new_esEs7(Just(xy4000), Just(xy3000), app(ty_Maybe, cc)) -> new_esEs7(xy4000, xy3000, cc) 17.47/6.50 new_esEs20(xy4001, xy3001, ty_Integer) -> new_esEs8(xy4001, xy3001) 17.47/6.50 new_esEs21(xy4010, xy3010, app(app(ty_@2, cf), cg)) -> new_esEs10(xy4010, xy3010, cf, cg) 17.47/6.50 new_esEs16(GT, GT) -> True 17.47/6.50 new_primMulNat0(Succ(xy400100), Succ(xy300000)) -> new_primPlusNat1(new_primMulNat0(xy400100, Succ(xy300000)), xy300000) 17.47/6.50 new_esEs11(Right(xy4000), Right(xy3000), da, ty_Int) -> new_esEs14(xy4000, xy3000) 17.47/6.50 new_esEs5([], [], bb) -> True 17.47/6.50 new_esEs20(xy4001, xy3001, ty_Double) -> new_esEs15(xy4001, xy3001) 17.47/6.50 new_esEs20(xy4001, xy3001, app(ty_[], gc)) -> new_esEs5(xy4001, xy3001, gc) 17.47/6.50 new_asAs(True, xy31) -> xy31 17.47/6.50 new_esEs25(xy4001, xy3001, app(ty_[], bdc)) -> new_esEs5(xy4001, xy3001, bdc) 17.47/6.50 new_esEs26(xy4002, xy3002, app(app(ty_Either, bdg), bdh)) -> new_esEs11(xy4002, xy3002, bdg, bdh) 17.47/6.50 new_esEs25(xy4001, xy3001, ty_Char) -> new_esEs13(xy4001, xy3001) 17.47/6.50 new_esEs15(Double(xy4000, xy4001), Double(xy3000, xy3001)) -> new_esEs14(new_sr(xy4000, xy3001), new_sr(xy4001, xy3000)) 17.47/6.50 new_esEs11(Right(xy4000), Right(xy3000), da, app(ty_[], bag)) -> new_esEs5(xy4000, xy3000, bag) 17.47/6.50 new_esEs8(Integer(xy4000), Integer(xy3000)) -> new_primEqInt(xy4000, xy3000) 17.47/6.50 new_primEqInt(Pos(Succ(xy40000)), Pos(Zero)) -> False 17.47/6.50 new_primEqInt(Pos(Zero), Pos(Succ(xy30000))) -> False 17.47/6.50 new_esEs4(xy400, xy300, ty_Double) -> new_esEs15(xy400, xy300) 17.47/6.50 new_esEs25(xy4001, xy3001, ty_Double) -> new_esEs15(xy4001, xy3001) 17.47/6.50 new_esEs19(xy4000, xy3000, ty_Char) -> new_esEs13(xy4000, xy3000) 17.47/6.50 new_esEs4(xy400, xy300, app(ty_[], df)) -> new_esEs5(xy400, xy300, df) 17.47/6.50 new_esEs19(xy4000, xy3000, app(ty_[], eh)) -> new_esEs5(xy4000, xy3000, eh) 17.47/6.50 new_esEs24(xy4000, xy3000, app(app(ty_Either, bbc), bbd)) -> new_esEs11(xy4000, xy3000, bbc, bbd) 17.47/6.50 new_esEs7(Just(xy4000), Just(xy3000), ty_Float) -> new_esEs17(xy4000, xy3000) 17.47/6.50 new_esEs7(Just(xy4000), Just(xy3000), app(app(app(ty_@3, bh), ca), cb)) -> new_esEs12(xy4000, xy3000, bh, ca, cb) 17.47/6.50 new_primEqNat0(Succ(xy40000), Succ(xy30000)) -> new_primEqNat0(xy40000, xy30000) 17.47/6.50 new_esEs7(Just(xy4000), Just(xy3000), app(app(ty_Either, bf), bg)) -> new_esEs11(xy4000, xy3000, bf, bg) 17.47/6.50 new_esEs25(xy4001, xy3001, ty_@0) -> new_esEs9(xy4001, xy3001) 17.47/6.50 new_esEs9(@0, @0) -> True 17.47/6.50 new_esEs16(EQ, GT) -> False 17.47/6.50 new_esEs16(GT, EQ) -> False 17.47/6.50 new_esEs4(xy400, xy300, ty_@0) -> new_esEs9(xy400, xy300) 17.47/6.50 new_esEs19(xy4000, xy3000, ty_@0) -> new_esEs9(xy4000, xy3000) 17.47/6.50 new_esEs24(xy4000, xy3000, app(app(app(ty_@3, bbe), bbf), bbg)) -> new_esEs12(xy4000, xy3000, bbe, bbf, bbg) 17.47/6.50 new_esEs24(xy4000, xy3000, ty_Float) -> new_esEs17(xy4000, xy3000) 17.47/6.50 new_esEs4(xy400, xy300, ty_Integer) -> new_esEs8(xy400, xy300) 17.47/6.50 new_esEs24(xy4000, xy3000, ty_Ordering) -> new_esEs16(xy4000, xy3000) 17.47/6.50 new_primMulNat0(Zero, Zero) -> Zero 17.47/6.50 new_esEs11(Left(xy4000), Right(xy3000), da, db) -> False 17.47/6.50 new_esEs11(Right(xy4000), Left(xy3000), da, db) -> False 17.47/6.50 new_esEs25(xy4001, xy3001, ty_Bool) -> new_esEs6(xy4001, xy3001) 17.47/6.50 new_esEs23(xy4001, xy3001, ty_Integer) -> new_esEs8(xy4001, xy3001) 17.47/6.50 new_esEs11(Right(xy4000), Right(xy3000), da, ty_Char) -> new_esEs13(xy4000, xy3000) 17.47/6.50 new_esEs11(Left(xy4000), Left(xy3000), app(app(app(ty_@3, ha), hb), hc), db) -> new_esEs12(xy4000, xy3000, ha, hb, hc) 17.47/6.50 new_primEqNat0(Succ(xy40000), Zero) -> False 17.47/6.50 new_primEqNat0(Zero, Succ(xy30000)) -> False 17.47/6.50 new_esEs4(xy400, xy300, app(app(ty_@2, cf), cg)) -> new_esEs10(xy400, xy300, cf, cg) 17.47/6.50 new_esEs24(xy4000, xy3000, app(ty_[], bca)) -> new_esEs5(xy4000, xy3000, bca) 17.47/6.50 new_esEs24(xy4000, xy3000, ty_Bool) -> new_esEs6(xy4000, xy3000) 17.47/6.50 new_esEs11(Left(xy4000), Left(xy3000), app(app(ty_@2, ge), gf), db) -> new_esEs10(xy4000, xy3000, ge, gf) 17.47/6.50 new_esEs24(xy4000, xy3000, app(app(ty_@2, bba), bbb)) -> new_esEs10(xy4000, xy3000, bba, bbb) 17.47/6.50 new_esEs19(xy4000, xy3000, ty_Int) -> new_esEs14(xy4000, xy3000) 17.47/6.50 new_esEs25(xy4001, xy3001, ty_Int) -> new_esEs14(xy4001, xy3001) 17.47/6.50 new_esEs19(xy4000, xy3000, ty_Bool) -> new_esEs6(xy4000, xy3000) 17.47/6.50 new_esEs26(xy4002, xy3002, ty_Float) -> new_esEs17(xy4002, xy3002) 17.47/6.50 new_esEs7(Just(xy4000), Just(xy3000), ty_Bool) -> new_esEs6(xy4000, xy3000) 17.47/6.50 new_esEs7(Just(xy4000), Just(xy3000), app(app(ty_@2, bd), be)) -> new_esEs10(xy4000, xy3000, bd, be) 17.47/6.50 new_esEs16(LT, EQ) -> False 17.47/6.50 new_esEs16(EQ, LT) -> False 17.47/6.50 new_esEs11(Left(xy4000), Left(xy3000), app(ty_[], he), db) -> new_esEs5(xy4000, xy3000, he) 17.47/6.50 new_esEs11(Left(xy4000), Left(xy3000), ty_Char, db) -> new_esEs13(xy4000, xy3000) 17.47/6.50 new_esEs4(xy400, xy300, app(ty_Ratio, dg)) -> new_esEs18(xy400, xy300, dg) 17.47/6.50 new_esEs11(Right(xy4000), Right(xy3000), da, app(app(ty_@2, hg), hh)) -> new_esEs10(xy4000, xy3000, hg, hh) 17.47/6.50 new_esEs7(Just(xy4000), Just(xy3000), ty_Char) -> new_esEs13(xy4000, xy3000) 17.47/6.50 new_primEqInt(Neg(Succ(xy40000)), Neg(Zero)) -> False 17.47/6.50 new_primEqInt(Neg(Zero), Neg(Succ(xy30000))) -> False 17.47/6.50 new_esEs14(xy400, xy300) -> new_primEqInt(xy400, xy300) 17.47/6.50 new_primEqInt(Pos(Succ(xy40000)), Pos(Succ(xy30000))) -> new_primEqNat0(xy40000, xy30000) 17.47/6.50 new_esEs21(xy4010, xy3010, app(ty_Maybe, bc)) -> new_esEs7(xy4010, xy3010, bc) 17.47/6.50 new_esEs19(xy4000, xy3000, ty_Float) -> new_esEs17(xy4000, xy3000) 17.47/6.50 new_esEs26(xy4002, xy3002, ty_Int) -> new_esEs14(xy4002, xy3002) 17.47/6.50 new_esEs7(Just(xy4000), Just(xy3000), app(ty_[], cd)) -> new_esEs5(xy4000, xy3000, cd) 17.47/6.50 new_esEs21(xy4010, xy3010, ty_Double) -> new_esEs15(xy4010, xy3010) 17.47/6.50 new_esEs25(xy4001, xy3001, ty_Float) -> new_esEs17(xy4001, xy3001) 17.47/6.50 new_sr(Pos(xy40010), Neg(xy30000)) -> Neg(new_primMulNat0(xy40010, xy30000)) 17.47/6.50 new_sr(Neg(xy40010), Pos(xy30000)) -> Neg(new_primMulNat0(xy40010, xy30000)) 17.47/6.50 new_esEs11(Left(xy4000), Left(xy3000), app(app(ty_Either, gg), gh), db) -> new_esEs11(xy4000, xy3000, gg, gh) 17.47/6.50 new_esEs22(xy4000, xy3000, ty_Integer) -> new_esEs8(xy4000, xy3000) 17.47/6.50 new_primEqInt(Pos(Succ(xy40000)), Neg(xy3000)) -> False 17.47/6.50 new_primEqInt(Neg(Succ(xy40000)), Pos(xy3000)) -> False 17.47/6.50 new_esEs7(Just(xy4000), Just(xy3000), ty_@0) -> new_esEs9(xy4000, xy3000) 17.47/6.50 new_esEs20(xy4001, xy3001, ty_Float) -> new_esEs17(xy4001, xy3001) 17.47/6.50 new_esEs4(xy400, xy300, app(app(ty_Either, da), db)) -> new_esEs11(xy400, xy300, da, db) 17.47/6.50 new_esEs16(EQ, EQ) -> True 17.47/6.50 new_esEs19(xy4000, xy3000, ty_Ordering) -> new_esEs16(xy4000, xy3000) 17.47/6.50 new_esEs11(Right(xy4000), Right(xy3000), da, ty_@0) -> new_esEs9(xy4000, xy3000) 17.47/6.50 new_esEs25(xy4001, xy3001, ty_Ordering) -> new_esEs16(xy4001, xy3001) 17.47/6.50 new_esEs26(xy4002, xy3002, app(ty_Maybe, bed)) -> new_esEs7(xy4002, xy3002, bed) 17.47/6.50 new_esEs20(xy4001, xy3001, app(app(ty_@2, fb), fc)) -> new_esEs10(xy4001, xy3001, fb, fc) 17.47/6.50 new_esEs5(:(xy4010, xy4011), :(xy3010, xy3011), bb) -> new_asAs(new_esEs21(xy4010, xy3010, bb), new_esEs5(xy4011, xy3011, bb)) 17.47/6.50 new_esEs21(xy4010, xy3010, ty_Bool) -> new_esEs6(xy4010, xy3010) 17.47/6.50 new_esEs18(:%(xy4000, xy4001), :%(xy3000, xy3001), dg) -> new_asAs(new_esEs22(xy4000, xy3000, dg), new_esEs23(xy4001, xy3001, dg)) 17.47/6.50 new_esEs20(xy4001, xy3001, ty_Int) -> new_esEs14(xy4001, xy3001) 17.47/6.50 new_esEs7(Nothing, Just(xy3000), bc) -> False 17.47/6.50 new_esEs7(Just(xy4000), Nothing, bc) -> False 17.47/6.50 new_esEs13(Char(xy4000), Char(xy3000)) -> new_primEqNat0(xy4000, xy3000) 17.47/6.50 new_esEs11(Right(xy4000), Right(xy3000), da, ty_Double) -> new_esEs15(xy4000, xy3000) 17.47/6.50 new_esEs11(Right(xy4000), Right(xy3000), da, ty_Integer) -> new_esEs8(xy4000, xy3000) 17.47/6.50 new_esEs4(xy400, xy300, ty_Float) -> new_esEs17(xy400, xy300) 17.47/6.50 new_sr(Neg(xy40010), Neg(xy30000)) -> Pos(new_primMulNat0(xy40010, xy30000)) 17.47/6.50 new_esEs24(xy4000, xy3000, ty_@0) -> new_esEs9(xy4000, xy3000) 17.47/6.50 new_esEs4(xy400, xy300, app(app(app(ty_@3, dc), dd), de)) -> new_esEs12(xy400, xy300, dc, dd, de) 17.47/6.50 new_esEs11(Right(xy4000), Right(xy3000), da, app(ty_Ratio, bah)) -> new_esEs18(xy4000, xy3000, bah) 17.47/6.50 new_esEs11(Left(xy4000), Left(xy3000), ty_Double, db) -> new_esEs15(xy4000, xy3000) 17.47/6.50 new_esEs17(Float(xy4000, xy4001), Float(xy3000, xy3001)) -> new_esEs14(new_sr(xy4000, xy3001), new_sr(xy4001, xy3000)) 17.47/6.50 new_esEs26(xy4002, xy3002, ty_@0) -> new_esEs9(xy4002, xy3002) 17.47/6.50 new_esEs11(Left(xy4000), Left(xy3000), ty_@0, db) -> new_esEs9(xy4000, xy3000) 17.47/6.50 new_esEs11(Left(xy4000), Left(xy3000), app(ty_Ratio, hf), db) -> new_esEs18(xy4000, xy3000, hf) 17.47/6.50 new_primEqInt(Pos(Zero), Neg(Succ(xy30000))) -> False 17.47/6.50 new_primEqInt(Neg(Zero), Pos(Succ(xy30000))) -> False 17.47/6.50 new_esEs20(xy4001, xy3001, app(ty_Maybe, gb)) -> new_esEs7(xy4001, xy3001, gb) 17.47/6.50 new_esEs16(LT, LT) -> True 17.47/6.50 new_esEs24(xy4000, xy3000, ty_Char) -> new_esEs13(xy4000, xy3000) 17.47/6.50 new_esEs7(Nothing, Nothing, bc) -> True 17.47/6.50 new_primPlusNat0(Succ(xy3200), Succ(xy3000000)) -> Succ(Succ(new_primPlusNat0(xy3200, xy3000000))) 17.47/6.50 new_esEs20(xy4001, xy3001, app(ty_Ratio, gd)) -> new_esEs18(xy4001, xy3001, gd) 17.47/6.50 new_esEs26(xy4002, xy3002, ty_Double) -> new_esEs15(xy4002, xy3002) 17.47/6.50 new_esEs6(True, True) -> True 17.47/6.50 new_esEs22(xy4000, xy3000, ty_Int) -> new_esEs14(xy4000, xy3000) 17.47/6.50 new_esEs7(Just(xy4000), Just(xy3000), ty_Integer) -> new_esEs8(xy4000, xy3000) 17.47/6.50 new_esEs26(xy4002, xy3002, ty_Integer) -> new_esEs8(xy4002, xy3002) 17.47/6.50 new_esEs24(xy4000, xy3000, app(ty_Ratio, bcb)) -> new_esEs18(xy4000, xy3000, bcb) 17.47/6.50 new_esEs7(Just(xy4000), Just(xy3000), ty_Ordering) -> new_esEs16(xy4000, xy3000) 17.47/6.50 new_esEs11(Left(xy4000), Left(xy3000), ty_Integer, db) -> new_esEs8(xy4000, xy3000) 17.47/6.50 new_primEqInt(Neg(Succ(xy40000)), Neg(Succ(xy30000))) -> new_primEqNat0(xy40000, xy30000) 17.47/6.50 new_esEs11(Right(xy4000), Right(xy3000), da, ty_Bool) -> new_esEs6(xy4000, xy3000) 17.47/6.50 new_esEs21(xy4010, xy3010, ty_Integer) -> new_esEs8(xy4010, xy3010) 17.47/6.50 new_esEs21(xy4010, xy3010, ty_Float) -> new_esEs17(xy4010, xy3010) 17.47/6.50 new_esEs11(Right(xy4000), Right(xy3000), da, app(ty_Maybe, baf)) -> new_esEs7(xy4000, xy3000, baf) 17.47/6.50 new_esEs25(xy4001, xy3001, app(ty_Maybe, bdb)) -> new_esEs7(xy4001, xy3001, bdb) 17.47/6.50 new_esEs6(False, False) -> True 17.47/6.50 new_esEs19(xy4000, xy3000, app(ty_Maybe, eg)) -> new_esEs7(xy4000, xy3000, eg) 17.47/6.50 new_esEs21(xy4010, xy3010, app(app(app(ty_@3, dc), dd), de)) -> new_esEs12(xy4010, xy3010, dc, dd, de) 17.47/6.50 new_esEs26(xy4002, xy3002, ty_Ordering) -> new_esEs16(xy4002, xy3002) 17.47/6.50 new_primMulNat0(Succ(xy400100), Zero) -> Zero 17.47/6.50 new_primMulNat0(Zero, Succ(xy300000)) -> Zero 17.47/6.50 new_sr(Pos(xy40010), Pos(xy30000)) -> Pos(new_primMulNat0(xy40010, xy30000)) 17.47/6.50 new_esEs21(xy4010, xy3010, ty_Ordering) -> new_esEs16(xy4010, xy3010) 17.47/6.50 new_esEs21(xy4010, xy3010, app(app(ty_Either, da), db)) -> new_esEs11(xy4010, xy3010, da, db) 17.47/6.50 new_primPlusNat1(Succ(xy320), xy300000) -> Succ(Succ(new_primPlusNat0(xy320, xy300000))) 17.47/6.50 new_esEs11(Right(xy4000), Right(xy3000), da, ty_Ordering) -> new_esEs16(xy4000, xy3000) 17.47/6.50 new_esEs11(Right(xy4000), Right(xy3000), da, ty_Float) -> new_esEs17(xy4000, xy3000) 17.47/6.50 new_esEs20(xy4001, xy3001, ty_@0) -> new_esEs9(xy4001, xy3001) 17.47/6.50 new_esEs19(xy4000, xy3000, app(ty_Ratio, fa)) -> new_esEs18(xy4000, xy3000, fa) 17.47/6.50 new_primPlusNat0(Succ(xy3200), Zero) -> Succ(xy3200) 17.47/6.50 new_primPlusNat0(Zero, Succ(xy3000000)) -> Succ(xy3000000) 17.47/6.50 new_esEs11(Left(xy4000), Left(xy3000), ty_Bool, db) -> new_esEs6(xy4000, xy3000) 17.47/6.50 new_esEs7(Just(xy4000), Just(xy3000), app(ty_Ratio, ce)) -> new_esEs18(xy4000, xy3000, ce) 17.47/6.50 new_primEqInt(Neg(Zero), Neg(Zero)) -> True 17.47/6.50 new_esEs26(xy4002, xy3002, app(ty_Ratio, bef)) -> new_esEs18(xy4002, xy3002, bef) 17.47/6.50 new_esEs11(Right(xy4000), Right(xy3000), da, app(app(app(ty_@3, bac), bad), bae)) -> new_esEs12(xy4000, xy3000, bac, bad, bae) 17.47/6.50 new_esEs25(xy4001, xy3001, app(app(ty_@2, bcc), bcd)) -> new_esEs10(xy4001, xy3001, bcc, bcd) 17.47/6.50 new_esEs26(xy4002, xy3002, ty_Bool) -> new_esEs6(xy4002, xy3002) 17.47/6.50 new_primPlusNat1(Zero, xy300000) -> Succ(xy300000) 17.47/6.50 new_esEs16(LT, GT) -> False 17.47/6.50 new_esEs16(GT, LT) -> False 17.47/6.50 new_esEs24(xy4000, xy3000, ty_Int) -> new_esEs14(xy4000, xy3000) 17.47/6.50 new_esEs4(xy400, xy300, app(ty_Maybe, bc)) -> new_esEs7(xy400, xy300, bc) 17.47/6.50 new_esEs26(xy4002, xy3002, app(app(app(ty_@3, bea), beb), bec)) -> new_esEs12(xy4002, xy3002, bea, beb, bec) 17.47/6.50 new_esEs25(xy4001, xy3001, ty_Integer) -> new_esEs8(xy4001, xy3001) 17.47/6.50 new_esEs7(Just(xy4000), Just(xy3000), ty_Int) -> new_esEs14(xy4000, xy3000) 17.47/6.50 new_esEs19(xy4000, xy3000, app(app(ty_@2, dh), ea)) -> new_esEs10(xy4000, xy3000, dh, ea) 17.47/6.50 new_esEs11(Left(xy4000), Left(xy3000), ty_Ordering, db) -> new_esEs16(xy4000, xy3000) 17.47/6.50 new_esEs4(xy400, xy300, ty_Int) -> new_esEs14(xy400, xy300) 17.47/6.50 new_esEs24(xy4000, xy3000, ty_Integer) -> new_esEs8(xy4000, xy3000) 17.47/6.50 new_primEqInt(Pos(Zero), Neg(Zero)) -> True 17.47/6.50 new_primEqInt(Neg(Zero), Pos(Zero)) -> True 17.47/6.50 new_esEs24(xy4000, xy3000, app(ty_Maybe, bbh)) -> new_esEs7(xy4000, xy3000, bbh) 17.47/6.50 new_esEs20(xy4001, xy3001, ty_Char) -> new_esEs13(xy4001, xy3001) 17.47/6.50 new_esEs25(xy4001, xy3001, app(app(app(ty_@3, bcg), bch), bda)) -> new_esEs12(xy4001, xy3001, bcg, bch, bda) 17.47/6.50 new_esEs5(:(xy4010, xy4011), [], bb) -> False 17.47/6.50 new_esEs5([], :(xy3010, xy3011), bb) -> False 17.47/6.50 new_primEqNat0(Zero, Zero) -> True 17.47/6.50 new_esEs19(xy4000, xy3000, ty_Integer) -> new_esEs8(xy4000, xy3000) 17.47/6.50 new_esEs11(Left(xy4000), Left(xy3000), app(ty_Maybe, hd), db) -> new_esEs7(xy4000, xy3000, hd) 17.47/6.50 new_esEs4(xy400, xy300, ty_Bool) -> new_esEs6(xy400, xy300) 17.47/6.50 new_esEs21(xy4010, xy3010, app(ty_[], df)) -> new_esEs5(xy4010, xy3010, df) 17.47/6.50 new_esEs11(Left(xy4000), Left(xy3000), ty_Float, db) -> new_esEs17(xy4000, xy3000) 17.47/6.50 new_asAs(False, xy31) -> False 17.47/6.50 new_esEs20(xy4001, xy3001, app(app(ty_Either, fd), ff)) -> new_esEs11(xy4001, xy3001, fd, ff) 17.47/6.50 new_esEs21(xy4010, xy3010, ty_Char) -> new_esEs13(xy4010, xy3010) 17.47/6.50 new_esEs19(xy4000, xy3000, app(app(app(ty_@3, ed), ee), ef)) -> new_esEs12(xy4000, xy3000, ed, ee, ef) 17.47/6.50 new_esEs25(xy4001, xy3001, app(ty_Ratio, bdd)) -> new_esEs18(xy4001, xy3001, bdd) 17.47/6.50 new_esEs11(Left(xy4000), Left(xy3000), ty_Int, db) -> new_esEs14(xy4000, xy3000) 17.47/6.50 new_esEs26(xy4002, xy3002, app(app(ty_@2, bde), bdf)) -> new_esEs10(xy4002, xy3002, bde, bdf) 17.47/6.50 new_esEs7(Just(xy4000), Just(xy3000), ty_Double) -> new_esEs15(xy4000, xy3000) 17.47/6.50 new_esEs26(xy4002, xy3002, app(ty_[], bee)) -> new_esEs5(xy4002, xy3002, bee) 17.47/6.50 new_esEs24(xy4000, xy3000, ty_Double) -> new_esEs15(xy4000, xy3000) 17.47/6.50 new_esEs19(xy4000, xy3000, app(app(ty_Either, eb), ec)) -> new_esEs11(xy4000, xy3000, eb, ec) 17.47/6.50 new_esEs10(@2(xy4000, xy4001), @2(xy3000, xy3001), cf, cg) -> new_asAs(new_esEs19(xy4000, xy3000, cf), new_esEs20(xy4001, xy3001, cg)) 17.47/6.50 new_esEs26(xy4002, xy3002, ty_Char) -> new_esEs13(xy4002, xy3002) 17.47/6.50 new_esEs25(xy4001, xy3001, app(app(ty_Either, bce), bcf)) -> new_esEs11(xy4001, xy3001, bce, bcf) 17.47/6.50 new_esEs23(xy4001, xy3001, ty_Int) -> new_esEs14(xy4001, xy3001) 17.47/6.50 new_esEs4(xy400, xy300, ty_Ordering) -> new_esEs16(xy400, xy300) 17.47/6.50 new_esEs20(xy4001, xy3001, app(app(app(ty_@3, fg), fh), ga)) -> new_esEs12(xy4001, xy3001, fg, fh, ga) 17.47/6.50 new_esEs21(xy4010, xy3010, ty_@0) -> new_esEs9(xy4010, xy3010) 17.47/6.50 17.47/6.50 The set Q consists of the following terms: 17.47/6.50 17.47/6.50 new_primEqInt(Pos(Succ(x0)), Neg(x1)) 17.47/6.50 new_primEqInt(Neg(Succ(x0)), Pos(x1)) 17.47/6.50 new_esEs26(x0, x1, ty_@0) 17.47/6.50 new_esEs14(x0, x1) 17.47/6.50 new_esEs19(x0, x1, app(ty_[], x2)) 17.47/6.50 new_esEs11(Right(x0), Right(x1), x2, ty_Bool) 17.47/6.50 new_esEs20(x0, x1, app(ty_Ratio, x2)) 17.47/6.50 new_esEs24(x0, x1, ty_Int) 17.47/6.50 new_esEs11(Left(x0), Left(x1), app(ty_Maybe, x2), x3) 17.47/6.50 new_esEs7(Just(x0), Just(x1), ty_Float) 17.47/6.50 new_esEs21(x0, x1, app(app(app(ty_@3, x2), x3), x4)) 17.47/6.50 new_primMulNat0(Zero, Zero) 17.47/6.50 new_esEs4(x0, x1, ty_Bool) 17.47/6.50 new_esEs20(x0, x1, ty_Bool) 17.47/6.50 new_esEs20(x0, x1, ty_@0) 17.47/6.50 new_esEs22(x0, x1, ty_Int) 17.47/6.50 new_esEs4(x0, x1, ty_Integer) 17.47/6.50 new_esEs26(x0, x1, ty_Bool) 17.47/6.50 new_esEs4(x0, x1, app(ty_[], x2)) 17.47/6.50 new_esEs10(@2(x0, x1), @2(x2, x3), x4, x5) 17.47/6.50 new_esEs7(Just(x0), Just(x1), ty_Double) 17.47/6.50 new_primMulNat0(Succ(x0), Zero) 17.47/6.50 new_esEs11(Left(x0), Left(x1), app(app(ty_@2, x2), x3), x4) 17.47/6.50 new_primEqInt(Pos(Zero), Pos(Zero)) 17.47/6.50 new_esEs25(x0, x1, ty_@0) 17.47/6.50 new_esEs11(Left(x0), Left(x1), app(app(ty_Either, x2), x3), x4) 17.47/6.50 new_esEs19(x0, x1, app(app(ty_Either, x2), x3)) 17.47/6.50 new_primPlusNat0(Succ(x0), Zero) 17.47/6.50 new_esEs19(x0, x1, app(app(ty_@2, x2), x3)) 17.47/6.50 new_esEs26(x0, x1, app(app(app(ty_@3, x2), x3), x4)) 17.47/6.50 new_esEs11(Right(x0), Right(x1), x2, app(ty_Ratio, x3)) 17.47/6.50 new_esEs11(Left(x0), Left(x1), ty_Double, x2) 17.47/6.50 new_esEs25(x0, x1, ty_Int) 17.47/6.50 new_esEs8(Integer(x0), Integer(x1)) 17.47/6.50 new_esEs4(x0, x1, ty_@0) 17.47/6.50 new_esEs4(x0, x1, app(ty_Maybe, x2)) 17.47/6.50 new_esEs24(x0, x1, ty_Double) 17.47/6.50 new_esEs5([], [], x0) 17.47/6.50 new_esEs16(EQ, EQ) 17.47/6.50 new_esEs24(x0, x1, ty_Char) 17.47/6.50 new_esEs19(x0, x1, app(ty_Maybe, x2)) 17.47/6.50 new_esEs19(x0, x1, ty_Double) 17.47/6.50 new_esEs11(Left(x0), Right(x1), x2, x3) 17.47/6.50 new_esEs11(Right(x0), Left(x1), x2, x3) 17.47/6.50 new_esEs20(x0, x1, app(app(ty_Either, x2), x3)) 17.47/6.50 new_primPlusNat1(Zero, x0) 17.47/6.50 new_primEqInt(Neg(Zero), Neg(Zero)) 17.47/6.50 new_esEs7(Just(x0), Just(x1), app(ty_Ratio, x2)) 17.47/6.50 new_esEs21(x0, x1, ty_Bool) 17.47/6.50 new_primPlusNat0(Zero, Zero) 17.47/6.50 new_esEs25(x0, x1, ty_Char) 17.47/6.50 new_sr(Pos(x0), Neg(x1)) 17.47/6.50 new_sr(Neg(x0), Pos(x1)) 17.47/6.50 new_esEs7(Just(x0), Just(x1), ty_Char) 17.47/6.50 new_esEs6(False, True) 17.47/6.50 new_esEs6(True, False) 17.47/6.50 new_esEs19(x0, x1, ty_Float) 17.47/6.50 new_esEs20(x0, x1, app(ty_Maybe, x2)) 17.47/6.50 new_esEs19(x0, x1, app(ty_Ratio, x2)) 17.47/6.50 new_esEs20(x0, x1, ty_Integer) 17.47/6.50 new_esEs26(x0, x1, app(ty_[], x2)) 17.47/6.50 new_esEs19(x0, x1, ty_@0) 17.47/6.50 new_asAs(True, x0) 17.47/6.50 new_asAs(False, x0) 17.47/6.50 new_primPlusNat0(Zero, Succ(x0)) 17.47/6.50 new_esEs25(x0, x1, ty_Bool) 17.47/6.50 new_esEs25(x0, x1, ty_Ordering) 17.47/6.50 new_esEs21(x0, x1, ty_Char) 17.47/6.50 new_esEs21(x0, x1, app(ty_Maybe, x2)) 17.47/6.50 new_esEs6(False, False) 17.47/6.50 new_esEs11(Left(x0), Left(x1), ty_Int, x2) 17.47/6.50 new_esEs24(x0, x1, app(ty_Ratio, x2)) 17.47/6.50 new_esEs11(Right(x0), Right(x1), x2, ty_Integer) 17.47/6.50 new_esEs24(x0, x1, ty_@0) 17.47/6.50 new_esEs11(Left(x0), Left(x1), app(ty_[], x2), x3) 17.47/6.50 new_esEs25(x0, x1, app(app(ty_@2, x2), x3)) 17.47/6.50 new_primEqInt(Pos(Zero), Neg(Zero)) 17.47/6.50 new_primEqInt(Neg(Zero), Pos(Zero)) 17.47/6.50 new_esEs20(x0, x1, app(app(app(ty_@3, x2), x3), x4)) 17.47/6.50 new_esEs11(Right(x0), Right(x1), x2, app(app(app(ty_@3, x3), x4), x5)) 17.47/6.50 new_esEs21(x0, x1, app(app(ty_@2, x2), x3)) 17.47/6.50 new_esEs11(Left(x0), Left(x1), ty_@0, x2) 17.47/6.50 new_esEs25(x0, x1, ty_Integer) 17.47/6.50 new_esEs21(x0, x1, ty_@0) 17.47/6.50 new_esEs4(x0, x1, app(app(ty_@2, x2), x3)) 17.47/6.50 new_esEs7(Just(x0), Just(x1), ty_Int) 17.47/6.50 new_sr(Neg(x0), Neg(x1)) 17.47/6.50 new_esEs25(x0, x1, app(app(ty_Either, x2), x3)) 17.47/6.50 new_esEs24(x0, x1, ty_Float) 17.47/6.50 new_esEs11(Left(x0), Left(x1), app(app(app(ty_@3, x2), x3), x4), x5) 17.47/6.50 new_primMulNat0(Succ(x0), Succ(x1)) 17.47/6.50 new_primEqInt(Neg(Succ(x0)), Neg(Zero)) 17.47/6.50 new_esEs21(x0, x1, ty_Float) 17.47/6.50 new_primEqInt(Neg(Succ(x0)), Neg(Succ(x1))) 17.47/6.50 new_esEs24(x0, x1, app(ty_Maybe, x2)) 17.47/6.50 new_primEqInt(Pos(Zero), Neg(Succ(x0))) 17.47/6.50 new_primEqInt(Neg(Zero), Pos(Succ(x0))) 17.47/6.50 new_primEqNat0(Zero, Succ(x0)) 17.47/6.50 new_esEs7(Just(x0), Just(x1), ty_@0) 17.47/6.50 new_esEs11(Left(x0), Left(x1), ty_Float, x2) 17.47/6.50 new_esEs5(:(x0, x1), [], x2) 17.47/6.50 new_esEs24(x0, x1, ty_Integer) 17.47/6.50 new_esEs9(@0, @0) 17.47/6.50 new_esEs26(x0, x1, ty_Double) 17.47/6.50 new_esEs11(Right(x0), Right(x1), x2, ty_Double) 17.47/6.50 new_esEs7(Just(x0), Just(x1), ty_Bool) 17.47/6.50 new_esEs21(x0, x1, ty_Ordering) 17.47/6.50 new_esEs7(Nothing, Nothing, x0) 17.47/6.50 new_esEs16(LT, GT) 17.47/6.50 new_esEs16(GT, LT) 17.47/6.50 new_esEs4(x0, x1, ty_Ordering) 17.47/6.50 new_esEs11(Right(x0), Right(x1), x2, ty_Ordering) 17.47/6.50 new_primMulNat0(Zero, Succ(x0)) 17.47/6.50 new_esEs26(x0, x1, ty_Ordering) 17.47/6.50 new_esEs7(Just(x0), Just(x1), app(app(ty_Either, x2), x3)) 17.47/6.50 new_esEs20(x0, x1, app(app(ty_@2, x2), x3)) 17.47/6.50 new_esEs21(x0, x1, ty_Int) 17.47/6.50 new_esEs21(x0, x1, ty_Double) 17.47/6.50 new_esEs7(Just(x0), Nothing, x1) 17.47/6.50 new_esEs26(x0, x1, ty_Float) 17.47/6.50 new_esEs26(x0, x1, app(app(ty_@2, x2), x3)) 17.47/6.50 new_esEs20(x0, x1, ty_Ordering) 17.47/6.50 new_esEs18(:%(x0, x1), :%(x2, x3), x4) 17.47/6.50 new_esEs4(x0, x1, ty_Float) 17.47/6.50 new_esEs15(Double(x0, x1), Double(x2, x3)) 17.47/6.50 new_esEs11(Right(x0), Right(x1), x2, app(ty_[], x3)) 17.47/6.50 new_esEs11(Right(x0), Right(x1), x2, ty_Float) 17.47/6.50 new_esEs26(x0, x1, app(ty_Ratio, x2)) 17.47/6.50 new_esEs5(:(x0, x1), :(x2, x3), x4) 17.47/6.50 new_primEqNat0(Succ(x0), Succ(x1)) 17.47/6.50 new_primEqInt(Pos(Zero), Pos(Succ(x0))) 17.47/6.50 new_esEs4(x0, x1, ty_Char) 17.47/6.50 new_esEs11(Left(x0), Left(x1), ty_Bool, x2) 17.47/6.50 new_esEs20(x0, x1, app(ty_[], x2)) 17.47/6.50 new_esEs24(x0, x1, ty_Bool) 17.47/6.50 new_esEs4(x0, x1, ty_Double) 17.47/6.50 new_esEs24(x0, x1, app(ty_[], x2)) 17.47/6.50 new_esEs24(x0, x1, app(app(ty_Either, x2), x3)) 17.47/6.50 new_esEs21(x0, x1, app(ty_Ratio, x2)) 17.47/6.50 new_esEs26(x0, x1, ty_Int) 17.47/6.50 new_esEs19(x0, x1, ty_Int) 17.47/6.50 new_esEs7(Nothing, Just(x0), x1) 17.47/6.50 new_esEs11(Left(x0), Left(x1), ty_Char, x2) 17.47/6.50 new_esEs4(x0, x1, app(ty_Ratio, x2)) 17.47/6.50 new_esEs20(x0, x1, ty_Float) 17.47/6.50 new_esEs24(x0, x1, app(app(app(ty_@3, x2), x3), x4)) 17.47/6.51 new_esEs19(x0, x1, ty_Char) 17.47/6.51 new_esEs23(x0, x1, ty_Integer) 17.47/6.51 new_esEs4(x0, x1, ty_Int) 17.47/6.51 new_primEqInt(Neg(Zero), Neg(Succ(x0))) 17.47/6.51 new_esEs17(Float(x0, x1), Float(x2, x3)) 17.47/6.51 new_esEs11(Right(x0), Right(x1), x2, app(app(ty_@2, x3), x4)) 17.47/6.51 new_esEs25(x0, x1, ty_Double) 17.47/6.51 new_esEs21(x0, x1, app(app(ty_Either, x2), x3)) 17.47/6.51 new_esEs7(Just(x0), Just(x1), app(app(ty_@2, x2), x3)) 17.47/6.51 new_esEs25(x0, x1, app(ty_Ratio, x2)) 17.47/6.51 new_esEs22(x0, x1, ty_Integer) 17.47/6.51 new_esEs26(x0, x1, app(ty_Maybe, x2)) 17.47/6.51 new_esEs11(Left(x0), Left(x1), app(ty_Ratio, x2), x3) 17.47/6.51 new_primEqNat0(Zero, Zero) 17.47/6.51 new_esEs26(x0, x1, ty_Char) 17.47/6.51 new_esEs19(x0, x1, ty_Bool) 17.47/6.51 new_esEs6(True, True) 17.47/6.51 new_esEs19(x0, x1, ty_Ordering) 17.47/6.51 new_primPlusNat1(Succ(x0), x1) 17.47/6.51 new_esEs25(x0, x1, app(ty_[], x2)) 17.47/6.51 new_esEs16(LT, LT) 17.47/6.51 new_esEs11(Right(x0), Right(x1), x2, ty_Char) 17.47/6.51 new_esEs7(Just(x0), Just(x1), app(app(app(ty_@3, x2), x3), x4)) 17.47/6.51 new_esEs7(Just(x0), Just(x1), app(ty_Maybe, x2)) 17.47/6.51 new_esEs4(x0, x1, app(app(ty_Either, x2), x3)) 17.47/6.51 new_esEs7(Just(x0), Just(x1), ty_Integer) 17.47/6.51 new_esEs26(x0, x1, app(app(ty_Either, x2), x3)) 17.47/6.51 new_esEs25(x0, x1, ty_Float) 17.47/6.51 new_esEs20(x0, x1, ty_Int) 17.47/6.51 new_esEs13(Char(x0), Char(x1)) 17.47/6.51 new_esEs26(x0, x1, ty_Integer) 17.47/6.51 new_esEs16(EQ, GT) 17.47/6.51 new_esEs16(GT, EQ) 17.47/6.51 new_primEqInt(Pos(Succ(x0)), Pos(Zero)) 17.47/6.51 new_esEs12(@3(x0, x1, x2), @3(x3, x4, x5), x6, x7, x8) 17.47/6.51 new_esEs23(x0, x1, ty_Int) 17.47/6.51 new_esEs24(x0, x1, ty_Ordering) 17.47/6.51 new_esEs25(x0, x1, app(ty_Maybe, x2)) 17.47/6.51 new_esEs24(x0, x1, app(app(ty_@2, x2), x3)) 17.47/6.51 new_sr(Pos(x0), Pos(x1)) 17.47/6.51 new_esEs11(Right(x0), Right(x1), x2, ty_Int) 17.47/6.51 new_esEs25(x0, x1, app(app(app(ty_@3, x2), x3), x4)) 17.47/6.51 new_esEs19(x0, x1, ty_Integer) 17.47/6.51 new_esEs7(Just(x0), Just(x1), app(ty_[], x2)) 17.47/6.51 new_esEs21(x0, x1, ty_Integer) 17.47/6.51 new_esEs19(x0, x1, app(app(app(ty_@3, x2), x3), x4)) 17.47/6.51 new_primEqInt(Pos(Succ(x0)), Pos(Succ(x1))) 17.47/6.51 new_esEs11(Left(x0), Left(x1), ty_Ordering, x2) 17.47/6.51 new_esEs11(Right(x0), Right(x1), x2, app(ty_Maybe, x3)) 17.47/6.51 new_esEs7(Just(x0), Just(x1), ty_Ordering) 17.47/6.51 new_esEs11(Right(x0), Right(x1), x2, app(app(ty_Either, x3), x4)) 17.47/6.51 new_esEs11(Right(x0), Right(x1), x2, ty_@0) 17.47/6.51 new_esEs5([], :(x0, x1), x2) 17.47/6.51 new_esEs16(LT, EQ) 17.47/6.51 new_esEs16(EQ, LT) 17.47/6.51 new_primPlusNat0(Succ(x0), Succ(x1)) 17.47/6.51 new_esEs20(x0, x1, ty_Char) 17.47/6.51 new_primEqNat0(Succ(x0), Zero) 17.47/6.51 new_esEs21(x0, x1, app(ty_[], x2)) 17.47/6.51 new_esEs16(GT, GT) 17.47/6.51 new_esEs4(x0, x1, app(app(app(ty_@3, x2), x3), x4)) 17.47/6.51 new_esEs20(x0, x1, ty_Double) 17.47/6.51 new_esEs11(Left(x0), Left(x1), ty_Integer, x2) 17.47/6.51 17.47/6.51 We have to consider all minimal (P,Q,R)-chains. 17.47/6.51 ---------------------------------------- 17.47/6.51 17.47/6.51 (10) DependencyGraphProof (EQUIVALENT) 17.47/6.51 The approximation of the Dependency Graph [LPAR04,FROCOS05,EDGSTAR] contains 2 SCCs. 17.47/6.51 ---------------------------------------- 17.47/6.51 17.47/6.51 (11) 17.47/6.51 Complex Obligation (AND) 17.47/6.51 17.47/6.51 ---------------------------------------- 17.47/6.51 17.47/6.51 (12) 17.47/6.51 Obligation: 17.47/6.51 Q DP problem: 17.47/6.51 The TRS P consists of the following rules: 17.47/6.51 17.47/6.51 new_deleteBy([], :(:(xy300, xy301), xy31), bb) -> new_deleteBy([], xy31, bb) 17.47/6.51 17.47/6.51 The TRS R consists of the following rules: 17.47/6.51 17.47/6.51 new_primEqInt(Pos(Zero), Pos(Zero)) -> True 17.47/6.51 new_primPlusNat0(Zero, Zero) -> Zero 17.47/6.51 new_esEs11(Right(xy4000), Right(xy3000), da, app(app(ty_Either, baa), bab)) -> new_esEs11(xy4000, xy3000, baa, bab) 17.47/6.51 new_esEs21(xy4010, xy3010, app(ty_Ratio, dg)) -> new_esEs18(xy4010, xy3010, dg) 17.47/6.51 new_esEs20(xy4001, xy3001, ty_Ordering) -> new_esEs16(xy4001, xy3001) 17.47/6.51 new_esEs19(xy4000, xy3000, ty_Double) -> new_esEs15(xy4000, xy3000) 17.47/6.51 new_esEs4(xy400, xy300, ty_Char) -> new_esEs13(xy400, xy300) 17.47/6.51 new_esEs6(False, True) -> False 17.47/6.51 new_esEs6(True, False) -> False 17.47/6.51 new_esEs12(@3(xy4000, xy4001, xy4002), @3(xy3000, xy3001, xy3002), dc, dd, de) -> new_asAs(new_esEs24(xy4000, xy3000, dc), new_asAs(new_esEs25(xy4001, xy3001, dd), new_esEs26(xy4002, xy3002, de))) 17.47/6.51 new_esEs21(xy4010, xy3010, ty_Int) -> new_esEs14(xy4010, xy3010) 17.47/6.51 new_esEs20(xy4001, xy3001, ty_Bool) -> new_esEs6(xy4001, xy3001) 17.47/6.51 new_esEs7(Just(xy4000), Just(xy3000), app(ty_Maybe, cc)) -> new_esEs7(xy4000, xy3000, cc) 17.47/6.51 new_esEs20(xy4001, xy3001, ty_Integer) -> new_esEs8(xy4001, xy3001) 17.47/6.51 new_esEs21(xy4010, xy3010, app(app(ty_@2, cf), cg)) -> new_esEs10(xy4010, xy3010, cf, cg) 17.47/6.51 new_esEs16(GT, GT) -> True 17.47/6.51 new_primMulNat0(Succ(xy400100), Succ(xy300000)) -> new_primPlusNat1(new_primMulNat0(xy400100, Succ(xy300000)), xy300000) 17.47/6.51 new_esEs11(Right(xy4000), Right(xy3000), da, ty_Int) -> new_esEs14(xy4000, xy3000) 17.47/6.51 new_esEs5([], [], bb) -> True 17.47/6.51 new_esEs20(xy4001, xy3001, ty_Double) -> new_esEs15(xy4001, xy3001) 17.47/6.51 new_esEs20(xy4001, xy3001, app(ty_[], gc)) -> new_esEs5(xy4001, xy3001, gc) 17.47/6.51 new_asAs(True, xy31) -> xy31 17.47/6.51 new_esEs25(xy4001, xy3001, app(ty_[], bdc)) -> new_esEs5(xy4001, xy3001, bdc) 17.47/6.51 new_esEs26(xy4002, xy3002, app(app(ty_Either, bdg), bdh)) -> new_esEs11(xy4002, xy3002, bdg, bdh) 17.47/6.51 new_esEs25(xy4001, xy3001, ty_Char) -> new_esEs13(xy4001, xy3001) 17.47/6.51 new_esEs15(Double(xy4000, xy4001), Double(xy3000, xy3001)) -> new_esEs14(new_sr(xy4000, xy3001), new_sr(xy4001, xy3000)) 17.47/6.51 new_esEs11(Right(xy4000), Right(xy3000), da, app(ty_[], bag)) -> new_esEs5(xy4000, xy3000, bag) 17.47/6.51 new_esEs8(Integer(xy4000), Integer(xy3000)) -> new_primEqInt(xy4000, xy3000) 17.47/6.51 new_primEqInt(Pos(Succ(xy40000)), Pos(Zero)) -> False 17.47/6.51 new_primEqInt(Pos(Zero), Pos(Succ(xy30000))) -> False 17.47/6.51 new_esEs4(xy400, xy300, ty_Double) -> new_esEs15(xy400, xy300) 17.47/6.51 new_esEs25(xy4001, xy3001, ty_Double) -> new_esEs15(xy4001, xy3001) 17.47/6.51 new_esEs19(xy4000, xy3000, ty_Char) -> new_esEs13(xy4000, xy3000) 17.47/6.51 new_esEs4(xy400, xy300, app(ty_[], df)) -> new_esEs5(xy400, xy300, df) 17.47/6.51 new_esEs19(xy4000, xy3000, app(ty_[], eh)) -> new_esEs5(xy4000, xy3000, eh) 17.47/6.51 new_esEs24(xy4000, xy3000, app(app(ty_Either, bbc), bbd)) -> new_esEs11(xy4000, xy3000, bbc, bbd) 17.47/6.51 new_esEs7(Just(xy4000), Just(xy3000), ty_Float) -> new_esEs17(xy4000, xy3000) 17.47/6.51 new_esEs7(Just(xy4000), Just(xy3000), app(app(app(ty_@3, bh), ca), cb)) -> new_esEs12(xy4000, xy3000, bh, ca, cb) 17.47/6.51 new_primEqNat0(Succ(xy40000), Succ(xy30000)) -> new_primEqNat0(xy40000, xy30000) 17.47/6.51 new_esEs7(Just(xy4000), Just(xy3000), app(app(ty_Either, bf), bg)) -> new_esEs11(xy4000, xy3000, bf, bg) 17.47/6.51 new_esEs25(xy4001, xy3001, ty_@0) -> new_esEs9(xy4001, xy3001) 17.47/6.51 new_esEs9(@0, @0) -> True 17.47/6.51 new_esEs16(EQ, GT) -> False 17.47/6.51 new_esEs16(GT, EQ) -> False 17.47/6.51 new_esEs4(xy400, xy300, ty_@0) -> new_esEs9(xy400, xy300) 17.47/6.51 new_esEs19(xy4000, xy3000, ty_@0) -> new_esEs9(xy4000, xy3000) 17.47/6.51 new_esEs24(xy4000, xy3000, app(app(app(ty_@3, bbe), bbf), bbg)) -> new_esEs12(xy4000, xy3000, bbe, bbf, bbg) 17.47/6.51 new_esEs24(xy4000, xy3000, ty_Float) -> new_esEs17(xy4000, xy3000) 17.47/6.51 new_esEs4(xy400, xy300, ty_Integer) -> new_esEs8(xy400, xy300) 17.47/6.51 new_esEs24(xy4000, xy3000, ty_Ordering) -> new_esEs16(xy4000, xy3000) 17.47/6.51 new_primMulNat0(Zero, Zero) -> Zero 17.47/6.51 new_esEs11(Left(xy4000), Right(xy3000), da, db) -> False 17.47/6.51 new_esEs11(Right(xy4000), Left(xy3000), da, db) -> False 17.47/6.51 new_esEs25(xy4001, xy3001, ty_Bool) -> new_esEs6(xy4001, xy3001) 17.47/6.51 new_esEs23(xy4001, xy3001, ty_Integer) -> new_esEs8(xy4001, xy3001) 17.47/6.51 new_esEs11(Right(xy4000), Right(xy3000), da, ty_Char) -> new_esEs13(xy4000, xy3000) 17.47/6.51 new_esEs11(Left(xy4000), Left(xy3000), app(app(app(ty_@3, ha), hb), hc), db) -> new_esEs12(xy4000, xy3000, ha, hb, hc) 17.47/6.51 new_primEqNat0(Succ(xy40000), Zero) -> False 17.47/6.51 new_primEqNat0(Zero, Succ(xy30000)) -> False 17.47/6.51 new_esEs4(xy400, xy300, app(app(ty_@2, cf), cg)) -> new_esEs10(xy400, xy300, cf, cg) 17.47/6.51 new_esEs24(xy4000, xy3000, app(ty_[], bca)) -> new_esEs5(xy4000, xy3000, bca) 17.47/6.51 new_esEs24(xy4000, xy3000, ty_Bool) -> new_esEs6(xy4000, xy3000) 17.47/6.51 new_esEs11(Left(xy4000), Left(xy3000), app(app(ty_@2, ge), gf), db) -> new_esEs10(xy4000, xy3000, ge, gf) 17.47/6.51 new_esEs24(xy4000, xy3000, app(app(ty_@2, bba), bbb)) -> new_esEs10(xy4000, xy3000, bba, bbb) 17.47/6.51 new_esEs19(xy4000, xy3000, ty_Int) -> new_esEs14(xy4000, xy3000) 17.47/6.51 new_esEs25(xy4001, xy3001, ty_Int) -> new_esEs14(xy4001, xy3001) 17.47/6.51 new_esEs19(xy4000, xy3000, ty_Bool) -> new_esEs6(xy4000, xy3000) 17.47/6.51 new_esEs26(xy4002, xy3002, ty_Float) -> new_esEs17(xy4002, xy3002) 17.47/6.51 new_esEs7(Just(xy4000), Just(xy3000), ty_Bool) -> new_esEs6(xy4000, xy3000) 17.47/6.51 new_esEs7(Just(xy4000), Just(xy3000), app(app(ty_@2, bd), be)) -> new_esEs10(xy4000, xy3000, bd, be) 17.47/6.51 new_esEs16(LT, EQ) -> False 17.47/6.51 new_esEs16(EQ, LT) -> False 17.47/6.51 new_esEs11(Left(xy4000), Left(xy3000), app(ty_[], he), db) -> new_esEs5(xy4000, xy3000, he) 17.47/6.51 new_esEs11(Left(xy4000), Left(xy3000), ty_Char, db) -> new_esEs13(xy4000, xy3000) 17.47/6.51 new_esEs4(xy400, xy300, app(ty_Ratio, dg)) -> new_esEs18(xy400, xy300, dg) 17.47/6.51 new_esEs11(Right(xy4000), Right(xy3000), da, app(app(ty_@2, hg), hh)) -> new_esEs10(xy4000, xy3000, hg, hh) 17.47/6.51 new_esEs7(Just(xy4000), Just(xy3000), ty_Char) -> new_esEs13(xy4000, xy3000) 17.47/6.51 new_primEqInt(Neg(Succ(xy40000)), Neg(Zero)) -> False 17.47/6.51 new_primEqInt(Neg(Zero), Neg(Succ(xy30000))) -> False 17.47/6.51 new_esEs14(xy400, xy300) -> new_primEqInt(xy400, xy300) 17.47/6.51 new_primEqInt(Pos(Succ(xy40000)), Pos(Succ(xy30000))) -> new_primEqNat0(xy40000, xy30000) 17.47/6.51 new_esEs21(xy4010, xy3010, app(ty_Maybe, bc)) -> new_esEs7(xy4010, xy3010, bc) 17.47/6.51 new_esEs19(xy4000, xy3000, ty_Float) -> new_esEs17(xy4000, xy3000) 17.47/6.51 new_esEs26(xy4002, xy3002, ty_Int) -> new_esEs14(xy4002, xy3002) 17.47/6.51 new_esEs7(Just(xy4000), Just(xy3000), app(ty_[], cd)) -> new_esEs5(xy4000, xy3000, cd) 17.47/6.51 new_esEs21(xy4010, xy3010, ty_Double) -> new_esEs15(xy4010, xy3010) 17.47/6.51 new_esEs25(xy4001, xy3001, ty_Float) -> new_esEs17(xy4001, xy3001) 17.47/6.51 new_sr(Pos(xy40010), Neg(xy30000)) -> Neg(new_primMulNat0(xy40010, xy30000)) 17.47/6.51 new_sr(Neg(xy40010), Pos(xy30000)) -> Neg(new_primMulNat0(xy40010, xy30000)) 17.47/6.51 new_esEs11(Left(xy4000), Left(xy3000), app(app(ty_Either, gg), gh), db) -> new_esEs11(xy4000, xy3000, gg, gh) 17.47/6.51 new_esEs22(xy4000, xy3000, ty_Integer) -> new_esEs8(xy4000, xy3000) 17.47/6.51 new_primEqInt(Pos(Succ(xy40000)), Neg(xy3000)) -> False 17.47/6.51 new_primEqInt(Neg(Succ(xy40000)), Pos(xy3000)) -> False 17.47/6.51 new_esEs7(Just(xy4000), Just(xy3000), ty_@0) -> new_esEs9(xy4000, xy3000) 17.47/6.51 new_esEs20(xy4001, xy3001, ty_Float) -> new_esEs17(xy4001, xy3001) 17.47/6.51 new_esEs4(xy400, xy300, app(app(ty_Either, da), db)) -> new_esEs11(xy400, xy300, da, db) 17.47/6.51 new_esEs16(EQ, EQ) -> True 17.47/6.51 new_esEs19(xy4000, xy3000, ty_Ordering) -> new_esEs16(xy4000, xy3000) 17.47/6.51 new_esEs11(Right(xy4000), Right(xy3000), da, ty_@0) -> new_esEs9(xy4000, xy3000) 17.47/6.51 new_esEs25(xy4001, xy3001, ty_Ordering) -> new_esEs16(xy4001, xy3001) 17.47/6.51 new_esEs26(xy4002, xy3002, app(ty_Maybe, bed)) -> new_esEs7(xy4002, xy3002, bed) 17.47/6.51 new_esEs20(xy4001, xy3001, app(app(ty_@2, fb), fc)) -> new_esEs10(xy4001, xy3001, fb, fc) 17.47/6.51 new_esEs5(:(xy4010, xy4011), :(xy3010, xy3011), bb) -> new_asAs(new_esEs21(xy4010, xy3010, bb), new_esEs5(xy4011, xy3011, bb)) 17.47/6.51 new_esEs21(xy4010, xy3010, ty_Bool) -> new_esEs6(xy4010, xy3010) 17.47/6.51 new_esEs18(:%(xy4000, xy4001), :%(xy3000, xy3001), dg) -> new_asAs(new_esEs22(xy4000, xy3000, dg), new_esEs23(xy4001, xy3001, dg)) 17.47/6.51 new_esEs20(xy4001, xy3001, ty_Int) -> new_esEs14(xy4001, xy3001) 17.47/6.51 new_esEs7(Nothing, Just(xy3000), bc) -> False 17.47/6.51 new_esEs7(Just(xy4000), Nothing, bc) -> False 17.47/6.51 new_esEs13(Char(xy4000), Char(xy3000)) -> new_primEqNat0(xy4000, xy3000) 17.47/6.51 new_esEs11(Right(xy4000), Right(xy3000), da, ty_Double) -> new_esEs15(xy4000, xy3000) 17.47/6.51 new_esEs11(Right(xy4000), Right(xy3000), da, ty_Integer) -> new_esEs8(xy4000, xy3000) 17.47/6.51 new_esEs4(xy400, xy300, ty_Float) -> new_esEs17(xy400, xy300) 17.47/6.51 new_sr(Neg(xy40010), Neg(xy30000)) -> Pos(new_primMulNat0(xy40010, xy30000)) 17.47/6.51 new_esEs24(xy4000, xy3000, ty_@0) -> new_esEs9(xy4000, xy3000) 17.47/6.51 new_esEs4(xy400, xy300, app(app(app(ty_@3, dc), dd), de)) -> new_esEs12(xy400, xy300, dc, dd, de) 17.47/6.51 new_esEs11(Right(xy4000), Right(xy3000), da, app(ty_Ratio, bah)) -> new_esEs18(xy4000, xy3000, bah) 17.47/6.51 new_esEs11(Left(xy4000), Left(xy3000), ty_Double, db) -> new_esEs15(xy4000, xy3000) 17.47/6.51 new_esEs17(Float(xy4000, xy4001), Float(xy3000, xy3001)) -> new_esEs14(new_sr(xy4000, xy3001), new_sr(xy4001, xy3000)) 17.47/6.51 new_esEs26(xy4002, xy3002, ty_@0) -> new_esEs9(xy4002, xy3002) 17.47/6.51 new_esEs11(Left(xy4000), Left(xy3000), ty_@0, db) -> new_esEs9(xy4000, xy3000) 17.47/6.51 new_esEs11(Left(xy4000), Left(xy3000), app(ty_Ratio, hf), db) -> new_esEs18(xy4000, xy3000, hf) 17.47/6.51 new_primEqInt(Pos(Zero), Neg(Succ(xy30000))) -> False 17.47/6.51 new_primEqInt(Neg(Zero), Pos(Succ(xy30000))) -> False 17.47/6.51 new_esEs20(xy4001, xy3001, app(ty_Maybe, gb)) -> new_esEs7(xy4001, xy3001, gb) 17.47/6.51 new_esEs16(LT, LT) -> True 17.47/6.51 new_esEs24(xy4000, xy3000, ty_Char) -> new_esEs13(xy4000, xy3000) 17.47/6.51 new_esEs7(Nothing, Nothing, bc) -> True 17.47/6.51 new_primPlusNat0(Succ(xy3200), Succ(xy3000000)) -> Succ(Succ(new_primPlusNat0(xy3200, xy3000000))) 17.47/6.51 new_esEs20(xy4001, xy3001, app(ty_Ratio, gd)) -> new_esEs18(xy4001, xy3001, gd) 17.47/6.51 new_esEs26(xy4002, xy3002, ty_Double) -> new_esEs15(xy4002, xy3002) 17.47/6.51 new_esEs6(True, True) -> True 17.47/6.51 new_esEs22(xy4000, xy3000, ty_Int) -> new_esEs14(xy4000, xy3000) 17.47/6.51 new_esEs7(Just(xy4000), Just(xy3000), ty_Integer) -> new_esEs8(xy4000, xy3000) 17.47/6.51 new_esEs26(xy4002, xy3002, ty_Integer) -> new_esEs8(xy4002, xy3002) 17.47/6.51 new_esEs24(xy4000, xy3000, app(ty_Ratio, bcb)) -> new_esEs18(xy4000, xy3000, bcb) 17.47/6.51 new_esEs7(Just(xy4000), Just(xy3000), ty_Ordering) -> new_esEs16(xy4000, xy3000) 17.47/6.51 new_esEs11(Left(xy4000), Left(xy3000), ty_Integer, db) -> new_esEs8(xy4000, xy3000) 17.47/6.51 new_primEqInt(Neg(Succ(xy40000)), Neg(Succ(xy30000))) -> new_primEqNat0(xy40000, xy30000) 17.47/6.51 new_esEs11(Right(xy4000), Right(xy3000), da, ty_Bool) -> new_esEs6(xy4000, xy3000) 17.47/6.51 new_esEs21(xy4010, xy3010, ty_Integer) -> new_esEs8(xy4010, xy3010) 17.47/6.51 new_esEs21(xy4010, xy3010, ty_Float) -> new_esEs17(xy4010, xy3010) 17.47/6.51 new_esEs11(Right(xy4000), Right(xy3000), da, app(ty_Maybe, baf)) -> new_esEs7(xy4000, xy3000, baf) 17.47/6.51 new_esEs25(xy4001, xy3001, app(ty_Maybe, bdb)) -> new_esEs7(xy4001, xy3001, bdb) 17.47/6.51 new_esEs6(False, False) -> True 17.47/6.51 new_esEs19(xy4000, xy3000, app(ty_Maybe, eg)) -> new_esEs7(xy4000, xy3000, eg) 17.47/6.51 new_esEs21(xy4010, xy3010, app(app(app(ty_@3, dc), dd), de)) -> new_esEs12(xy4010, xy3010, dc, dd, de) 17.47/6.51 new_esEs26(xy4002, xy3002, ty_Ordering) -> new_esEs16(xy4002, xy3002) 17.47/6.51 new_primMulNat0(Succ(xy400100), Zero) -> Zero 17.47/6.51 new_primMulNat0(Zero, Succ(xy300000)) -> Zero 17.47/6.51 new_sr(Pos(xy40010), Pos(xy30000)) -> Pos(new_primMulNat0(xy40010, xy30000)) 17.47/6.51 new_esEs21(xy4010, xy3010, ty_Ordering) -> new_esEs16(xy4010, xy3010) 17.47/6.51 new_esEs21(xy4010, xy3010, app(app(ty_Either, da), db)) -> new_esEs11(xy4010, xy3010, da, db) 17.47/6.51 new_primPlusNat1(Succ(xy320), xy300000) -> Succ(Succ(new_primPlusNat0(xy320, xy300000))) 17.47/6.51 new_esEs11(Right(xy4000), Right(xy3000), da, ty_Ordering) -> new_esEs16(xy4000, xy3000) 17.47/6.51 new_esEs11(Right(xy4000), Right(xy3000), da, ty_Float) -> new_esEs17(xy4000, xy3000) 17.47/6.51 new_esEs20(xy4001, xy3001, ty_@0) -> new_esEs9(xy4001, xy3001) 17.47/6.51 new_esEs19(xy4000, xy3000, app(ty_Ratio, fa)) -> new_esEs18(xy4000, xy3000, fa) 17.47/6.51 new_primPlusNat0(Succ(xy3200), Zero) -> Succ(xy3200) 17.47/6.51 new_primPlusNat0(Zero, Succ(xy3000000)) -> Succ(xy3000000) 17.47/6.51 new_esEs11(Left(xy4000), Left(xy3000), ty_Bool, db) -> new_esEs6(xy4000, xy3000) 17.47/6.51 new_esEs7(Just(xy4000), Just(xy3000), app(ty_Ratio, ce)) -> new_esEs18(xy4000, xy3000, ce) 17.47/6.51 new_primEqInt(Neg(Zero), Neg(Zero)) -> True 17.47/6.51 new_esEs26(xy4002, xy3002, app(ty_Ratio, bef)) -> new_esEs18(xy4002, xy3002, bef) 17.47/6.51 new_esEs11(Right(xy4000), Right(xy3000), da, app(app(app(ty_@3, bac), bad), bae)) -> new_esEs12(xy4000, xy3000, bac, bad, bae) 17.47/6.51 new_esEs25(xy4001, xy3001, app(app(ty_@2, bcc), bcd)) -> new_esEs10(xy4001, xy3001, bcc, bcd) 17.47/6.51 new_esEs26(xy4002, xy3002, ty_Bool) -> new_esEs6(xy4002, xy3002) 17.47/6.51 new_primPlusNat1(Zero, xy300000) -> Succ(xy300000) 17.47/6.51 new_esEs16(LT, GT) -> False 17.47/6.51 new_esEs16(GT, LT) -> False 17.47/6.51 new_esEs24(xy4000, xy3000, ty_Int) -> new_esEs14(xy4000, xy3000) 17.47/6.51 new_esEs4(xy400, xy300, app(ty_Maybe, bc)) -> new_esEs7(xy400, xy300, bc) 17.47/6.51 new_esEs26(xy4002, xy3002, app(app(app(ty_@3, bea), beb), bec)) -> new_esEs12(xy4002, xy3002, bea, beb, bec) 17.47/6.51 new_esEs25(xy4001, xy3001, ty_Integer) -> new_esEs8(xy4001, xy3001) 17.47/6.51 new_esEs7(Just(xy4000), Just(xy3000), ty_Int) -> new_esEs14(xy4000, xy3000) 17.47/6.51 new_esEs19(xy4000, xy3000, app(app(ty_@2, dh), ea)) -> new_esEs10(xy4000, xy3000, dh, ea) 17.47/6.51 new_esEs11(Left(xy4000), Left(xy3000), ty_Ordering, db) -> new_esEs16(xy4000, xy3000) 17.47/6.51 new_esEs4(xy400, xy300, ty_Int) -> new_esEs14(xy400, xy300) 17.47/6.51 new_esEs24(xy4000, xy3000, ty_Integer) -> new_esEs8(xy4000, xy3000) 17.47/6.51 new_primEqInt(Pos(Zero), Neg(Zero)) -> True 17.47/6.51 new_primEqInt(Neg(Zero), Pos(Zero)) -> True 17.47/6.51 new_esEs24(xy4000, xy3000, app(ty_Maybe, bbh)) -> new_esEs7(xy4000, xy3000, bbh) 17.47/6.51 new_esEs20(xy4001, xy3001, ty_Char) -> new_esEs13(xy4001, xy3001) 17.47/6.51 new_esEs25(xy4001, xy3001, app(app(app(ty_@3, bcg), bch), bda)) -> new_esEs12(xy4001, xy3001, bcg, bch, bda) 17.47/6.51 new_esEs5(:(xy4010, xy4011), [], bb) -> False 17.47/6.51 new_esEs5([], :(xy3010, xy3011), bb) -> False 17.47/6.51 new_primEqNat0(Zero, Zero) -> True 17.47/6.51 new_esEs19(xy4000, xy3000, ty_Integer) -> new_esEs8(xy4000, xy3000) 17.47/6.51 new_esEs11(Left(xy4000), Left(xy3000), app(ty_Maybe, hd), db) -> new_esEs7(xy4000, xy3000, hd) 17.47/6.51 new_esEs4(xy400, xy300, ty_Bool) -> new_esEs6(xy400, xy300) 17.47/6.51 new_esEs21(xy4010, xy3010, app(ty_[], df)) -> new_esEs5(xy4010, xy3010, df) 17.47/6.51 new_esEs11(Left(xy4000), Left(xy3000), ty_Float, db) -> new_esEs17(xy4000, xy3000) 17.47/6.51 new_asAs(False, xy31) -> False 17.47/6.51 new_esEs20(xy4001, xy3001, app(app(ty_Either, fd), ff)) -> new_esEs11(xy4001, xy3001, fd, ff) 17.47/6.51 new_esEs21(xy4010, xy3010, ty_Char) -> new_esEs13(xy4010, xy3010) 17.47/6.51 new_esEs19(xy4000, xy3000, app(app(app(ty_@3, ed), ee), ef)) -> new_esEs12(xy4000, xy3000, ed, ee, ef) 17.47/6.51 new_esEs25(xy4001, xy3001, app(ty_Ratio, bdd)) -> new_esEs18(xy4001, xy3001, bdd) 17.47/6.51 new_esEs11(Left(xy4000), Left(xy3000), ty_Int, db) -> new_esEs14(xy4000, xy3000) 17.47/6.51 new_esEs26(xy4002, xy3002, app(app(ty_@2, bde), bdf)) -> new_esEs10(xy4002, xy3002, bde, bdf) 17.47/6.51 new_esEs7(Just(xy4000), Just(xy3000), ty_Double) -> new_esEs15(xy4000, xy3000) 17.47/6.51 new_esEs26(xy4002, xy3002, app(ty_[], bee)) -> new_esEs5(xy4002, xy3002, bee) 17.47/6.51 new_esEs24(xy4000, xy3000, ty_Double) -> new_esEs15(xy4000, xy3000) 17.47/6.51 new_esEs19(xy4000, xy3000, app(app(ty_Either, eb), ec)) -> new_esEs11(xy4000, xy3000, eb, ec) 17.47/6.51 new_esEs10(@2(xy4000, xy4001), @2(xy3000, xy3001), cf, cg) -> new_asAs(new_esEs19(xy4000, xy3000, cf), new_esEs20(xy4001, xy3001, cg)) 17.47/6.51 new_esEs26(xy4002, xy3002, ty_Char) -> new_esEs13(xy4002, xy3002) 17.47/6.51 new_esEs25(xy4001, xy3001, app(app(ty_Either, bce), bcf)) -> new_esEs11(xy4001, xy3001, bce, bcf) 17.47/6.51 new_esEs23(xy4001, xy3001, ty_Int) -> new_esEs14(xy4001, xy3001) 17.47/6.51 new_esEs4(xy400, xy300, ty_Ordering) -> new_esEs16(xy400, xy300) 17.47/6.51 new_esEs20(xy4001, xy3001, app(app(app(ty_@3, fg), fh), ga)) -> new_esEs12(xy4001, xy3001, fg, fh, ga) 17.47/6.51 new_esEs21(xy4010, xy3010, ty_@0) -> new_esEs9(xy4010, xy3010) 17.47/6.51 17.47/6.51 The set Q consists of the following terms: 17.47/6.51 17.47/6.51 new_primEqInt(Pos(Succ(x0)), Neg(x1)) 17.47/6.51 new_primEqInt(Neg(Succ(x0)), Pos(x1)) 17.47/6.51 new_esEs26(x0, x1, ty_@0) 17.47/6.51 new_esEs14(x0, x1) 17.47/6.51 new_esEs19(x0, x1, app(ty_[], x2)) 17.47/6.51 new_esEs11(Right(x0), Right(x1), x2, ty_Bool) 17.47/6.51 new_esEs20(x0, x1, app(ty_Ratio, x2)) 17.47/6.51 new_esEs24(x0, x1, ty_Int) 17.47/6.51 new_esEs11(Left(x0), Left(x1), app(ty_Maybe, x2), x3) 17.47/6.51 new_esEs7(Just(x0), Just(x1), ty_Float) 17.47/6.51 new_esEs21(x0, x1, app(app(app(ty_@3, x2), x3), x4)) 17.47/6.51 new_primMulNat0(Zero, Zero) 17.47/6.51 new_esEs4(x0, x1, ty_Bool) 17.47/6.51 new_esEs20(x0, x1, ty_Bool) 17.47/6.51 new_esEs20(x0, x1, ty_@0) 17.47/6.51 new_esEs22(x0, x1, ty_Int) 17.47/6.51 new_esEs4(x0, x1, ty_Integer) 17.47/6.51 new_esEs26(x0, x1, ty_Bool) 17.47/6.51 new_esEs4(x0, x1, app(ty_[], x2)) 17.47/6.51 new_esEs10(@2(x0, x1), @2(x2, x3), x4, x5) 17.47/6.51 new_esEs7(Just(x0), Just(x1), ty_Double) 17.47/6.51 new_primMulNat0(Succ(x0), Zero) 17.47/6.51 new_esEs11(Left(x0), Left(x1), app(app(ty_@2, x2), x3), x4) 17.47/6.51 new_primEqInt(Pos(Zero), Pos(Zero)) 17.47/6.51 new_esEs25(x0, x1, ty_@0) 17.47/6.51 new_esEs11(Left(x0), Left(x1), app(app(ty_Either, x2), x3), x4) 17.47/6.51 new_esEs19(x0, x1, app(app(ty_Either, x2), x3)) 17.47/6.51 new_primPlusNat0(Succ(x0), Zero) 17.47/6.51 new_esEs19(x0, x1, app(app(ty_@2, x2), x3)) 17.47/6.51 new_esEs26(x0, x1, app(app(app(ty_@3, x2), x3), x4)) 17.47/6.51 new_esEs11(Right(x0), Right(x1), x2, app(ty_Ratio, x3)) 17.47/6.51 new_esEs11(Left(x0), Left(x1), ty_Double, x2) 17.47/6.51 new_esEs25(x0, x1, ty_Int) 17.47/6.51 new_esEs8(Integer(x0), Integer(x1)) 17.47/6.51 new_esEs4(x0, x1, ty_@0) 17.47/6.51 new_esEs4(x0, x1, app(ty_Maybe, x2)) 17.47/6.51 new_esEs24(x0, x1, ty_Double) 17.47/6.51 new_esEs5([], [], x0) 17.47/6.51 new_esEs16(EQ, EQ) 17.47/6.51 new_esEs24(x0, x1, ty_Char) 17.47/6.51 new_esEs19(x0, x1, app(ty_Maybe, x2)) 17.47/6.51 new_esEs19(x0, x1, ty_Double) 17.47/6.51 new_esEs11(Left(x0), Right(x1), x2, x3) 17.47/6.51 new_esEs11(Right(x0), Left(x1), x2, x3) 17.47/6.51 new_esEs20(x0, x1, app(app(ty_Either, x2), x3)) 17.47/6.51 new_primPlusNat1(Zero, x0) 17.47/6.51 new_primEqInt(Neg(Zero), Neg(Zero)) 17.47/6.51 new_esEs7(Just(x0), Just(x1), app(ty_Ratio, x2)) 17.47/6.51 new_esEs21(x0, x1, ty_Bool) 17.47/6.51 new_primPlusNat0(Zero, Zero) 17.47/6.51 new_esEs25(x0, x1, ty_Char) 17.47/6.51 new_sr(Pos(x0), Neg(x1)) 17.47/6.51 new_sr(Neg(x0), Pos(x1)) 17.47/6.51 new_esEs7(Just(x0), Just(x1), ty_Char) 17.47/6.51 new_esEs6(False, True) 17.47/6.51 new_esEs6(True, False) 17.47/6.51 new_esEs19(x0, x1, ty_Float) 17.47/6.51 new_esEs20(x0, x1, app(ty_Maybe, x2)) 17.47/6.51 new_esEs19(x0, x1, app(ty_Ratio, x2)) 17.47/6.51 new_esEs20(x0, x1, ty_Integer) 17.47/6.51 new_esEs26(x0, x1, app(ty_[], x2)) 17.47/6.51 new_esEs19(x0, x1, ty_@0) 17.47/6.51 new_asAs(True, x0) 17.47/6.51 new_asAs(False, x0) 17.47/6.51 new_primPlusNat0(Zero, Succ(x0)) 17.47/6.51 new_esEs25(x0, x1, ty_Bool) 17.47/6.51 new_esEs25(x0, x1, ty_Ordering) 17.47/6.51 new_esEs21(x0, x1, ty_Char) 17.47/6.51 new_esEs21(x0, x1, app(ty_Maybe, x2)) 17.47/6.51 new_esEs6(False, False) 17.47/6.51 new_esEs11(Left(x0), Left(x1), ty_Int, x2) 17.47/6.51 new_esEs24(x0, x1, app(ty_Ratio, x2)) 17.47/6.51 new_esEs11(Right(x0), Right(x1), x2, ty_Integer) 17.47/6.51 new_esEs24(x0, x1, ty_@0) 17.47/6.51 new_esEs11(Left(x0), Left(x1), app(ty_[], x2), x3) 17.47/6.51 new_esEs25(x0, x1, app(app(ty_@2, x2), x3)) 17.47/6.51 new_primEqInt(Pos(Zero), Neg(Zero)) 17.47/6.51 new_primEqInt(Neg(Zero), Pos(Zero)) 17.47/6.51 new_esEs20(x0, x1, app(app(app(ty_@3, x2), x3), x4)) 17.47/6.51 new_esEs11(Right(x0), Right(x1), x2, app(app(app(ty_@3, x3), x4), x5)) 17.47/6.51 new_esEs21(x0, x1, app(app(ty_@2, x2), x3)) 17.47/6.51 new_esEs11(Left(x0), Left(x1), ty_@0, x2) 17.47/6.51 new_esEs25(x0, x1, ty_Integer) 17.47/6.51 new_esEs21(x0, x1, ty_@0) 17.47/6.51 new_esEs4(x0, x1, app(app(ty_@2, x2), x3)) 17.47/6.51 new_esEs7(Just(x0), Just(x1), ty_Int) 17.47/6.51 new_sr(Neg(x0), Neg(x1)) 17.47/6.51 new_esEs25(x0, x1, app(app(ty_Either, x2), x3)) 17.47/6.51 new_esEs24(x0, x1, ty_Float) 17.47/6.51 new_esEs11(Left(x0), Left(x1), app(app(app(ty_@3, x2), x3), x4), x5) 17.47/6.51 new_primMulNat0(Succ(x0), Succ(x1)) 17.47/6.51 new_primEqInt(Neg(Succ(x0)), Neg(Zero)) 17.47/6.51 new_esEs21(x0, x1, ty_Float) 17.47/6.51 new_primEqInt(Neg(Succ(x0)), Neg(Succ(x1))) 17.47/6.51 new_esEs24(x0, x1, app(ty_Maybe, x2)) 17.47/6.51 new_primEqInt(Pos(Zero), Neg(Succ(x0))) 17.47/6.51 new_primEqInt(Neg(Zero), Pos(Succ(x0))) 17.47/6.51 new_primEqNat0(Zero, Succ(x0)) 17.47/6.51 new_esEs7(Just(x0), Just(x1), ty_@0) 17.47/6.51 new_esEs11(Left(x0), Left(x1), ty_Float, x2) 17.47/6.51 new_esEs5(:(x0, x1), [], x2) 17.47/6.51 new_esEs24(x0, x1, ty_Integer) 17.47/6.51 new_esEs9(@0, @0) 17.47/6.51 new_esEs26(x0, x1, ty_Double) 17.47/6.51 new_esEs11(Right(x0), Right(x1), x2, ty_Double) 17.47/6.51 new_esEs7(Just(x0), Just(x1), ty_Bool) 17.47/6.51 new_esEs21(x0, x1, ty_Ordering) 17.47/6.51 new_esEs7(Nothing, Nothing, x0) 17.47/6.51 new_esEs16(LT, GT) 17.47/6.51 new_esEs16(GT, LT) 17.47/6.51 new_esEs4(x0, x1, ty_Ordering) 17.47/6.51 new_esEs11(Right(x0), Right(x1), x2, ty_Ordering) 17.47/6.51 new_primMulNat0(Zero, Succ(x0)) 17.47/6.51 new_esEs26(x0, x1, ty_Ordering) 17.47/6.51 new_esEs7(Just(x0), Just(x1), app(app(ty_Either, x2), x3)) 17.47/6.51 new_esEs20(x0, x1, app(app(ty_@2, x2), x3)) 17.47/6.51 new_esEs21(x0, x1, ty_Int) 17.47/6.51 new_esEs21(x0, x1, ty_Double) 17.47/6.51 new_esEs7(Just(x0), Nothing, x1) 17.47/6.51 new_esEs26(x0, x1, ty_Float) 17.47/6.51 new_esEs26(x0, x1, app(app(ty_@2, x2), x3)) 17.47/6.51 new_esEs20(x0, x1, ty_Ordering) 17.47/6.51 new_esEs18(:%(x0, x1), :%(x2, x3), x4) 17.47/6.51 new_esEs4(x0, x1, ty_Float) 17.47/6.51 new_esEs15(Double(x0, x1), Double(x2, x3)) 17.47/6.51 new_esEs11(Right(x0), Right(x1), x2, app(ty_[], x3)) 17.47/6.51 new_esEs11(Right(x0), Right(x1), x2, ty_Float) 17.47/6.51 new_esEs26(x0, x1, app(ty_Ratio, x2)) 17.47/6.51 new_esEs5(:(x0, x1), :(x2, x3), x4) 17.47/6.51 new_primEqNat0(Succ(x0), Succ(x1)) 17.47/6.51 new_primEqInt(Pos(Zero), Pos(Succ(x0))) 17.47/6.51 new_esEs4(x0, x1, ty_Char) 17.47/6.51 new_esEs11(Left(x0), Left(x1), ty_Bool, x2) 17.47/6.51 new_esEs20(x0, x1, app(ty_[], x2)) 17.47/6.51 new_esEs24(x0, x1, ty_Bool) 17.47/6.51 new_esEs4(x0, x1, ty_Double) 17.47/6.51 new_esEs24(x0, x1, app(ty_[], x2)) 17.47/6.51 new_esEs24(x0, x1, app(app(ty_Either, x2), x3)) 17.47/6.51 new_esEs21(x0, x1, app(ty_Ratio, x2)) 17.47/6.51 new_esEs26(x0, x1, ty_Int) 17.47/6.51 new_esEs19(x0, x1, ty_Int) 17.47/6.51 new_esEs7(Nothing, Just(x0), x1) 17.47/6.51 new_esEs11(Left(x0), Left(x1), ty_Char, x2) 17.47/6.51 new_esEs4(x0, x1, app(ty_Ratio, x2)) 17.47/6.51 new_esEs20(x0, x1, ty_Float) 17.47/6.51 new_esEs24(x0, x1, app(app(app(ty_@3, x2), x3), x4)) 17.47/6.51 new_esEs19(x0, x1, ty_Char) 17.47/6.51 new_esEs23(x0, x1, ty_Integer) 17.47/6.51 new_esEs4(x0, x1, ty_Int) 17.47/6.51 new_primEqInt(Neg(Zero), Neg(Succ(x0))) 17.47/6.51 new_esEs17(Float(x0, x1), Float(x2, x3)) 17.47/6.51 new_esEs11(Right(x0), Right(x1), x2, app(app(ty_@2, x3), x4)) 17.47/6.51 new_esEs25(x0, x1, ty_Double) 17.47/6.51 new_esEs21(x0, x1, app(app(ty_Either, x2), x3)) 17.47/6.51 new_esEs7(Just(x0), Just(x1), app(app(ty_@2, x2), x3)) 17.47/6.51 new_esEs25(x0, x1, app(ty_Ratio, x2)) 17.47/6.51 new_esEs22(x0, x1, ty_Integer) 17.47/6.51 new_esEs26(x0, x1, app(ty_Maybe, x2)) 17.47/6.51 new_esEs11(Left(x0), Left(x1), app(ty_Ratio, x2), x3) 17.47/6.51 new_primEqNat0(Zero, Zero) 17.47/6.51 new_esEs26(x0, x1, ty_Char) 17.47/6.51 new_esEs19(x0, x1, ty_Bool) 17.47/6.51 new_esEs6(True, True) 17.47/6.51 new_esEs19(x0, x1, ty_Ordering) 17.47/6.51 new_primPlusNat1(Succ(x0), x1) 17.47/6.51 new_esEs25(x0, x1, app(ty_[], x2)) 17.47/6.51 new_esEs16(LT, LT) 17.47/6.51 new_esEs11(Right(x0), Right(x1), x2, ty_Char) 17.47/6.51 new_esEs7(Just(x0), Just(x1), app(app(app(ty_@3, x2), x3), x4)) 17.47/6.51 new_esEs7(Just(x0), Just(x1), app(ty_Maybe, x2)) 17.47/6.51 new_esEs4(x0, x1, app(app(ty_Either, x2), x3)) 17.47/6.51 new_esEs7(Just(x0), Just(x1), ty_Integer) 17.47/6.51 new_esEs26(x0, x1, app(app(ty_Either, x2), x3)) 17.47/6.51 new_esEs25(x0, x1, ty_Float) 17.47/6.51 new_esEs20(x0, x1, ty_Int) 17.47/6.51 new_esEs13(Char(x0), Char(x1)) 17.47/6.51 new_esEs26(x0, x1, ty_Integer) 17.47/6.51 new_esEs16(EQ, GT) 17.47/6.51 new_esEs16(GT, EQ) 17.47/6.51 new_primEqInt(Pos(Succ(x0)), Pos(Zero)) 17.47/6.51 new_esEs12(@3(x0, x1, x2), @3(x3, x4, x5), x6, x7, x8) 17.47/6.51 new_esEs23(x0, x1, ty_Int) 17.47/6.51 new_esEs24(x0, x1, ty_Ordering) 17.47/6.51 new_esEs25(x0, x1, app(ty_Maybe, x2)) 17.47/6.51 new_esEs24(x0, x1, app(app(ty_@2, x2), x3)) 17.47/6.51 new_sr(Pos(x0), Pos(x1)) 17.47/6.51 new_esEs11(Right(x0), Right(x1), x2, ty_Int) 17.47/6.51 new_esEs25(x0, x1, app(app(app(ty_@3, x2), x3), x4)) 17.47/6.51 new_esEs19(x0, x1, ty_Integer) 17.47/6.51 new_esEs7(Just(x0), Just(x1), app(ty_[], x2)) 17.47/6.51 new_esEs21(x0, x1, ty_Integer) 17.47/6.51 new_esEs19(x0, x1, app(app(app(ty_@3, x2), x3), x4)) 17.47/6.51 new_primEqInt(Pos(Succ(x0)), Pos(Succ(x1))) 17.47/6.51 new_esEs11(Left(x0), Left(x1), ty_Ordering, x2) 17.47/6.51 new_esEs11(Right(x0), Right(x1), x2, app(ty_Maybe, x3)) 17.47/6.51 new_esEs7(Just(x0), Just(x1), ty_Ordering) 17.47/6.51 new_esEs11(Right(x0), Right(x1), x2, app(app(ty_Either, x3), x4)) 17.47/6.51 new_esEs11(Right(x0), Right(x1), x2, ty_@0) 17.47/6.51 new_esEs5([], :(x0, x1), x2) 17.47/6.51 new_esEs16(LT, EQ) 17.47/6.51 new_esEs16(EQ, LT) 17.47/6.51 new_primPlusNat0(Succ(x0), Succ(x1)) 17.47/6.51 new_esEs20(x0, x1, ty_Char) 17.47/6.51 new_primEqNat0(Succ(x0), Zero) 17.47/6.51 new_esEs21(x0, x1, app(ty_[], x2)) 17.47/6.51 new_esEs16(GT, GT) 17.47/6.51 new_esEs4(x0, x1, app(app(app(ty_@3, x2), x3), x4)) 17.47/6.51 new_esEs20(x0, x1, ty_Double) 17.47/6.51 new_esEs11(Left(x0), Left(x1), ty_Integer, x2) 17.47/6.51 17.47/6.51 We have to consider all minimal (P,Q,R)-chains. 17.47/6.51 ---------------------------------------- 17.47/6.51 17.47/6.51 (13) QDPSizeChangeProof (EQUIVALENT) 17.47/6.51 By using the subterm criterion [SUBTERM_CRITERION] together with the size-change analysis [AAECC05] we have proven that there are no infinite chains for this DP problem. 17.47/6.51 17.47/6.51 From the DPs we obtained the following set of size-change graphs: 17.47/6.51 *new_deleteBy([], :(:(xy300, xy301), xy31), bb) -> new_deleteBy([], xy31, bb) 17.47/6.51 The graph contains the following edges 1 >= 1, 2 > 2, 3 >= 3 17.47/6.51 17.47/6.51 17.47/6.51 ---------------------------------------- 17.47/6.51 17.47/6.51 (14) 17.47/6.51 YES 17.47/6.51 17.47/6.51 ---------------------------------------- 17.47/6.51 17.47/6.51 (15) 17.47/6.51 Obligation: 17.47/6.51 Q DP problem: 17.47/6.51 The TRS P consists of the following rules: 17.47/6.51 17.47/6.51 new_deleteBy(:(xy400, xy401), :(:(xy300, xy301), xy31), bb) -> new_deleteBy0(xy31, xy300, xy301, xy400, xy401, new_asAs(new_esEs4(xy400, xy300, bb), new_esEs5(xy401, xy301, bb)), bb) 17.47/6.51 new_deleteBy0(xy12, xy13, xy14, xy15, xy16, False, ba) -> new_deleteBy(:(xy15, xy16), xy12, ba) 17.47/6.51 new_deleteBy(:(xy400, xy401), :([], xy31), bb) -> new_deleteBy(:(xy400, xy401), xy31, bb) 17.47/6.51 17.47/6.51 The TRS R consists of the following rules: 17.47/6.51 17.47/6.51 new_primEqInt(Pos(Zero), Pos(Zero)) -> True 17.47/6.51 new_primPlusNat0(Zero, Zero) -> Zero 17.47/6.51 new_esEs11(Right(xy4000), Right(xy3000), da, app(app(ty_Either, baa), bab)) -> new_esEs11(xy4000, xy3000, baa, bab) 17.47/6.51 new_esEs21(xy4010, xy3010, app(ty_Ratio, dg)) -> new_esEs18(xy4010, xy3010, dg) 17.47/6.51 new_esEs20(xy4001, xy3001, ty_Ordering) -> new_esEs16(xy4001, xy3001) 17.47/6.51 new_esEs19(xy4000, xy3000, ty_Double) -> new_esEs15(xy4000, xy3000) 17.47/6.51 new_esEs4(xy400, xy300, ty_Char) -> new_esEs13(xy400, xy300) 17.47/6.51 new_esEs6(False, True) -> False 17.47/6.51 new_esEs6(True, False) -> False 17.47/6.51 new_esEs12(@3(xy4000, xy4001, xy4002), @3(xy3000, xy3001, xy3002), dc, dd, de) -> new_asAs(new_esEs24(xy4000, xy3000, dc), new_asAs(new_esEs25(xy4001, xy3001, dd), new_esEs26(xy4002, xy3002, de))) 17.47/6.51 new_esEs21(xy4010, xy3010, ty_Int) -> new_esEs14(xy4010, xy3010) 17.47/6.51 new_esEs20(xy4001, xy3001, ty_Bool) -> new_esEs6(xy4001, xy3001) 17.47/6.51 new_esEs7(Just(xy4000), Just(xy3000), app(ty_Maybe, cc)) -> new_esEs7(xy4000, xy3000, cc) 17.47/6.51 new_esEs20(xy4001, xy3001, ty_Integer) -> new_esEs8(xy4001, xy3001) 17.47/6.51 new_esEs21(xy4010, xy3010, app(app(ty_@2, cf), cg)) -> new_esEs10(xy4010, xy3010, cf, cg) 17.47/6.51 new_esEs16(GT, GT) -> True 17.47/6.51 new_primMulNat0(Succ(xy400100), Succ(xy300000)) -> new_primPlusNat1(new_primMulNat0(xy400100, Succ(xy300000)), xy300000) 17.47/6.51 new_esEs11(Right(xy4000), Right(xy3000), da, ty_Int) -> new_esEs14(xy4000, xy3000) 17.47/6.51 new_esEs5([], [], bb) -> True 17.47/6.51 new_esEs20(xy4001, xy3001, ty_Double) -> new_esEs15(xy4001, xy3001) 17.47/6.51 new_esEs20(xy4001, xy3001, app(ty_[], gc)) -> new_esEs5(xy4001, xy3001, gc) 17.47/6.51 new_asAs(True, xy31) -> xy31 17.47/6.51 new_esEs25(xy4001, xy3001, app(ty_[], bdc)) -> new_esEs5(xy4001, xy3001, bdc) 17.47/6.51 new_esEs26(xy4002, xy3002, app(app(ty_Either, bdg), bdh)) -> new_esEs11(xy4002, xy3002, bdg, bdh) 17.47/6.51 new_esEs25(xy4001, xy3001, ty_Char) -> new_esEs13(xy4001, xy3001) 17.47/6.51 new_esEs15(Double(xy4000, xy4001), Double(xy3000, xy3001)) -> new_esEs14(new_sr(xy4000, xy3001), new_sr(xy4001, xy3000)) 17.47/6.51 new_esEs11(Right(xy4000), Right(xy3000), da, app(ty_[], bag)) -> new_esEs5(xy4000, xy3000, bag) 17.47/6.51 new_esEs8(Integer(xy4000), Integer(xy3000)) -> new_primEqInt(xy4000, xy3000) 17.47/6.51 new_primEqInt(Pos(Succ(xy40000)), Pos(Zero)) -> False 17.47/6.51 new_primEqInt(Pos(Zero), Pos(Succ(xy30000))) -> False 17.47/6.51 new_esEs4(xy400, xy300, ty_Double) -> new_esEs15(xy400, xy300) 17.47/6.51 new_esEs25(xy4001, xy3001, ty_Double) -> new_esEs15(xy4001, xy3001) 17.47/6.51 new_esEs19(xy4000, xy3000, ty_Char) -> new_esEs13(xy4000, xy3000) 17.47/6.51 new_esEs4(xy400, xy300, app(ty_[], df)) -> new_esEs5(xy400, xy300, df) 17.47/6.51 new_esEs19(xy4000, xy3000, app(ty_[], eh)) -> new_esEs5(xy4000, xy3000, eh) 17.47/6.51 new_esEs24(xy4000, xy3000, app(app(ty_Either, bbc), bbd)) -> new_esEs11(xy4000, xy3000, bbc, bbd) 17.47/6.51 new_esEs7(Just(xy4000), Just(xy3000), ty_Float) -> new_esEs17(xy4000, xy3000) 17.47/6.51 new_esEs7(Just(xy4000), Just(xy3000), app(app(app(ty_@3, bh), ca), cb)) -> new_esEs12(xy4000, xy3000, bh, ca, cb) 17.47/6.51 new_primEqNat0(Succ(xy40000), Succ(xy30000)) -> new_primEqNat0(xy40000, xy30000) 17.47/6.51 new_esEs7(Just(xy4000), Just(xy3000), app(app(ty_Either, bf), bg)) -> new_esEs11(xy4000, xy3000, bf, bg) 17.47/6.51 new_esEs25(xy4001, xy3001, ty_@0) -> new_esEs9(xy4001, xy3001) 17.47/6.51 new_esEs9(@0, @0) -> True 17.47/6.51 new_esEs16(EQ, GT) -> False 17.47/6.51 new_esEs16(GT, EQ) -> False 17.47/6.51 new_esEs4(xy400, xy300, ty_@0) -> new_esEs9(xy400, xy300) 17.47/6.51 new_esEs19(xy4000, xy3000, ty_@0) -> new_esEs9(xy4000, xy3000) 17.47/6.51 new_esEs24(xy4000, xy3000, app(app(app(ty_@3, bbe), bbf), bbg)) -> new_esEs12(xy4000, xy3000, bbe, bbf, bbg) 17.47/6.51 new_esEs24(xy4000, xy3000, ty_Float) -> new_esEs17(xy4000, xy3000) 17.47/6.51 new_esEs4(xy400, xy300, ty_Integer) -> new_esEs8(xy400, xy300) 17.47/6.51 new_esEs24(xy4000, xy3000, ty_Ordering) -> new_esEs16(xy4000, xy3000) 17.47/6.51 new_primMulNat0(Zero, Zero) -> Zero 17.47/6.51 new_esEs11(Left(xy4000), Right(xy3000), da, db) -> False 17.47/6.51 new_esEs11(Right(xy4000), Left(xy3000), da, db) -> False 17.47/6.51 new_esEs25(xy4001, xy3001, ty_Bool) -> new_esEs6(xy4001, xy3001) 17.47/6.51 new_esEs23(xy4001, xy3001, ty_Integer) -> new_esEs8(xy4001, xy3001) 17.47/6.51 new_esEs11(Right(xy4000), Right(xy3000), da, ty_Char) -> new_esEs13(xy4000, xy3000) 17.47/6.51 new_esEs11(Left(xy4000), Left(xy3000), app(app(app(ty_@3, ha), hb), hc), db) -> new_esEs12(xy4000, xy3000, ha, hb, hc) 17.47/6.51 new_primEqNat0(Succ(xy40000), Zero) -> False 17.47/6.51 new_primEqNat0(Zero, Succ(xy30000)) -> False 17.47/6.51 new_esEs4(xy400, xy300, app(app(ty_@2, cf), cg)) -> new_esEs10(xy400, xy300, cf, cg) 17.47/6.51 new_esEs24(xy4000, xy3000, app(ty_[], bca)) -> new_esEs5(xy4000, xy3000, bca) 17.47/6.51 new_esEs24(xy4000, xy3000, ty_Bool) -> new_esEs6(xy4000, xy3000) 17.47/6.51 new_esEs11(Left(xy4000), Left(xy3000), app(app(ty_@2, ge), gf), db) -> new_esEs10(xy4000, xy3000, ge, gf) 17.47/6.51 new_esEs24(xy4000, xy3000, app(app(ty_@2, bba), bbb)) -> new_esEs10(xy4000, xy3000, bba, bbb) 17.47/6.51 new_esEs19(xy4000, xy3000, ty_Int) -> new_esEs14(xy4000, xy3000) 17.47/6.51 new_esEs25(xy4001, xy3001, ty_Int) -> new_esEs14(xy4001, xy3001) 17.47/6.51 new_esEs19(xy4000, xy3000, ty_Bool) -> new_esEs6(xy4000, xy3000) 17.47/6.51 new_esEs26(xy4002, xy3002, ty_Float) -> new_esEs17(xy4002, xy3002) 17.47/6.51 new_esEs7(Just(xy4000), Just(xy3000), ty_Bool) -> new_esEs6(xy4000, xy3000) 17.47/6.51 new_esEs7(Just(xy4000), Just(xy3000), app(app(ty_@2, bd), be)) -> new_esEs10(xy4000, xy3000, bd, be) 17.47/6.51 new_esEs16(LT, EQ) -> False 17.47/6.51 new_esEs16(EQ, LT) -> False 17.47/6.51 new_esEs11(Left(xy4000), Left(xy3000), app(ty_[], he), db) -> new_esEs5(xy4000, xy3000, he) 17.47/6.51 new_esEs11(Left(xy4000), Left(xy3000), ty_Char, db) -> new_esEs13(xy4000, xy3000) 17.47/6.51 new_esEs4(xy400, xy300, app(ty_Ratio, dg)) -> new_esEs18(xy400, xy300, dg) 17.47/6.51 new_esEs11(Right(xy4000), Right(xy3000), da, app(app(ty_@2, hg), hh)) -> new_esEs10(xy4000, xy3000, hg, hh) 17.47/6.51 new_esEs7(Just(xy4000), Just(xy3000), ty_Char) -> new_esEs13(xy4000, xy3000) 17.47/6.51 new_primEqInt(Neg(Succ(xy40000)), Neg(Zero)) -> False 17.47/6.51 new_primEqInt(Neg(Zero), Neg(Succ(xy30000))) -> False 17.47/6.51 new_esEs14(xy400, xy300) -> new_primEqInt(xy400, xy300) 17.47/6.51 new_primEqInt(Pos(Succ(xy40000)), Pos(Succ(xy30000))) -> new_primEqNat0(xy40000, xy30000) 17.47/6.51 new_esEs21(xy4010, xy3010, app(ty_Maybe, bc)) -> new_esEs7(xy4010, xy3010, bc) 17.47/6.51 new_esEs19(xy4000, xy3000, ty_Float) -> new_esEs17(xy4000, xy3000) 17.47/6.51 new_esEs26(xy4002, xy3002, ty_Int) -> new_esEs14(xy4002, xy3002) 17.47/6.51 new_esEs7(Just(xy4000), Just(xy3000), app(ty_[], cd)) -> new_esEs5(xy4000, xy3000, cd) 17.47/6.51 new_esEs21(xy4010, xy3010, ty_Double) -> new_esEs15(xy4010, xy3010) 17.47/6.51 new_esEs25(xy4001, xy3001, ty_Float) -> new_esEs17(xy4001, xy3001) 17.47/6.51 new_sr(Pos(xy40010), Neg(xy30000)) -> Neg(new_primMulNat0(xy40010, xy30000)) 17.47/6.51 new_sr(Neg(xy40010), Pos(xy30000)) -> Neg(new_primMulNat0(xy40010, xy30000)) 17.47/6.51 new_esEs11(Left(xy4000), Left(xy3000), app(app(ty_Either, gg), gh), db) -> new_esEs11(xy4000, xy3000, gg, gh) 17.47/6.51 new_esEs22(xy4000, xy3000, ty_Integer) -> new_esEs8(xy4000, xy3000) 17.47/6.51 new_primEqInt(Pos(Succ(xy40000)), Neg(xy3000)) -> False 17.47/6.51 new_primEqInt(Neg(Succ(xy40000)), Pos(xy3000)) -> False 17.47/6.51 new_esEs7(Just(xy4000), Just(xy3000), ty_@0) -> new_esEs9(xy4000, xy3000) 17.47/6.51 new_esEs20(xy4001, xy3001, ty_Float) -> new_esEs17(xy4001, xy3001) 17.47/6.51 new_esEs4(xy400, xy300, app(app(ty_Either, da), db)) -> new_esEs11(xy400, xy300, da, db) 17.47/6.51 new_esEs16(EQ, EQ) -> True 17.47/6.51 new_esEs19(xy4000, xy3000, ty_Ordering) -> new_esEs16(xy4000, xy3000) 17.47/6.51 new_esEs11(Right(xy4000), Right(xy3000), da, ty_@0) -> new_esEs9(xy4000, xy3000) 17.47/6.51 new_esEs25(xy4001, xy3001, ty_Ordering) -> new_esEs16(xy4001, xy3001) 17.47/6.51 new_esEs26(xy4002, xy3002, app(ty_Maybe, bed)) -> new_esEs7(xy4002, xy3002, bed) 17.47/6.51 new_esEs20(xy4001, xy3001, app(app(ty_@2, fb), fc)) -> new_esEs10(xy4001, xy3001, fb, fc) 17.47/6.51 new_esEs5(:(xy4010, xy4011), :(xy3010, xy3011), bb) -> new_asAs(new_esEs21(xy4010, xy3010, bb), new_esEs5(xy4011, xy3011, bb)) 17.47/6.51 new_esEs21(xy4010, xy3010, ty_Bool) -> new_esEs6(xy4010, xy3010) 17.47/6.51 new_esEs18(:%(xy4000, xy4001), :%(xy3000, xy3001), dg) -> new_asAs(new_esEs22(xy4000, xy3000, dg), new_esEs23(xy4001, xy3001, dg)) 17.47/6.51 new_esEs20(xy4001, xy3001, ty_Int) -> new_esEs14(xy4001, xy3001) 17.47/6.51 new_esEs7(Nothing, Just(xy3000), bc) -> False 17.47/6.51 new_esEs7(Just(xy4000), Nothing, bc) -> False 17.47/6.51 new_esEs13(Char(xy4000), Char(xy3000)) -> new_primEqNat0(xy4000, xy3000) 17.47/6.51 new_esEs11(Right(xy4000), Right(xy3000), da, ty_Double) -> new_esEs15(xy4000, xy3000) 17.47/6.51 new_esEs11(Right(xy4000), Right(xy3000), da, ty_Integer) -> new_esEs8(xy4000, xy3000) 17.47/6.51 new_esEs4(xy400, xy300, ty_Float) -> new_esEs17(xy400, xy300) 17.47/6.51 new_sr(Neg(xy40010), Neg(xy30000)) -> Pos(new_primMulNat0(xy40010, xy30000)) 17.47/6.51 new_esEs24(xy4000, xy3000, ty_@0) -> new_esEs9(xy4000, xy3000) 17.47/6.51 new_esEs4(xy400, xy300, app(app(app(ty_@3, dc), dd), de)) -> new_esEs12(xy400, xy300, dc, dd, de) 17.47/6.51 new_esEs11(Right(xy4000), Right(xy3000), da, app(ty_Ratio, bah)) -> new_esEs18(xy4000, xy3000, bah) 17.47/6.51 new_esEs11(Left(xy4000), Left(xy3000), ty_Double, db) -> new_esEs15(xy4000, xy3000) 17.47/6.51 new_esEs17(Float(xy4000, xy4001), Float(xy3000, xy3001)) -> new_esEs14(new_sr(xy4000, xy3001), new_sr(xy4001, xy3000)) 17.47/6.51 new_esEs26(xy4002, xy3002, ty_@0) -> new_esEs9(xy4002, xy3002) 17.47/6.51 new_esEs11(Left(xy4000), Left(xy3000), ty_@0, db) -> new_esEs9(xy4000, xy3000) 17.47/6.51 new_esEs11(Left(xy4000), Left(xy3000), app(ty_Ratio, hf), db) -> new_esEs18(xy4000, xy3000, hf) 17.47/6.51 new_primEqInt(Pos(Zero), Neg(Succ(xy30000))) -> False 17.47/6.51 new_primEqInt(Neg(Zero), Pos(Succ(xy30000))) -> False 17.47/6.51 new_esEs20(xy4001, xy3001, app(ty_Maybe, gb)) -> new_esEs7(xy4001, xy3001, gb) 17.47/6.51 new_esEs16(LT, LT) -> True 17.47/6.51 new_esEs24(xy4000, xy3000, ty_Char) -> new_esEs13(xy4000, xy3000) 17.47/6.51 new_esEs7(Nothing, Nothing, bc) -> True 17.47/6.51 new_primPlusNat0(Succ(xy3200), Succ(xy3000000)) -> Succ(Succ(new_primPlusNat0(xy3200, xy3000000))) 17.47/6.51 new_esEs20(xy4001, xy3001, app(ty_Ratio, gd)) -> new_esEs18(xy4001, xy3001, gd) 17.47/6.51 new_esEs26(xy4002, xy3002, ty_Double) -> new_esEs15(xy4002, xy3002) 17.47/6.51 new_esEs6(True, True) -> True 17.47/6.51 new_esEs22(xy4000, xy3000, ty_Int) -> new_esEs14(xy4000, xy3000) 17.47/6.51 new_esEs7(Just(xy4000), Just(xy3000), ty_Integer) -> new_esEs8(xy4000, xy3000) 17.47/6.51 new_esEs26(xy4002, xy3002, ty_Integer) -> new_esEs8(xy4002, xy3002) 17.47/6.51 new_esEs24(xy4000, xy3000, app(ty_Ratio, bcb)) -> new_esEs18(xy4000, xy3000, bcb) 17.47/6.51 new_esEs7(Just(xy4000), Just(xy3000), ty_Ordering) -> new_esEs16(xy4000, xy3000) 17.47/6.51 new_esEs11(Left(xy4000), Left(xy3000), ty_Integer, db) -> new_esEs8(xy4000, xy3000) 17.47/6.51 new_primEqInt(Neg(Succ(xy40000)), Neg(Succ(xy30000))) -> new_primEqNat0(xy40000, xy30000) 17.47/6.51 new_esEs11(Right(xy4000), Right(xy3000), da, ty_Bool) -> new_esEs6(xy4000, xy3000) 17.47/6.51 new_esEs21(xy4010, xy3010, ty_Integer) -> new_esEs8(xy4010, xy3010) 17.47/6.51 new_esEs21(xy4010, xy3010, ty_Float) -> new_esEs17(xy4010, xy3010) 17.47/6.51 new_esEs11(Right(xy4000), Right(xy3000), da, app(ty_Maybe, baf)) -> new_esEs7(xy4000, xy3000, baf) 17.47/6.51 new_esEs25(xy4001, xy3001, app(ty_Maybe, bdb)) -> new_esEs7(xy4001, xy3001, bdb) 17.47/6.51 new_esEs6(False, False) -> True 17.47/6.51 new_esEs19(xy4000, xy3000, app(ty_Maybe, eg)) -> new_esEs7(xy4000, xy3000, eg) 17.47/6.51 new_esEs21(xy4010, xy3010, app(app(app(ty_@3, dc), dd), de)) -> new_esEs12(xy4010, xy3010, dc, dd, de) 17.47/6.51 new_esEs26(xy4002, xy3002, ty_Ordering) -> new_esEs16(xy4002, xy3002) 17.47/6.51 new_primMulNat0(Succ(xy400100), Zero) -> Zero 17.47/6.51 new_primMulNat0(Zero, Succ(xy300000)) -> Zero 17.47/6.51 new_sr(Pos(xy40010), Pos(xy30000)) -> Pos(new_primMulNat0(xy40010, xy30000)) 17.47/6.51 new_esEs21(xy4010, xy3010, ty_Ordering) -> new_esEs16(xy4010, xy3010) 17.47/6.51 new_esEs21(xy4010, xy3010, app(app(ty_Either, da), db)) -> new_esEs11(xy4010, xy3010, da, db) 17.47/6.51 new_primPlusNat1(Succ(xy320), xy300000) -> Succ(Succ(new_primPlusNat0(xy320, xy300000))) 17.47/6.51 new_esEs11(Right(xy4000), Right(xy3000), da, ty_Ordering) -> new_esEs16(xy4000, xy3000) 17.47/6.51 new_esEs11(Right(xy4000), Right(xy3000), da, ty_Float) -> new_esEs17(xy4000, xy3000) 17.47/6.51 new_esEs20(xy4001, xy3001, ty_@0) -> new_esEs9(xy4001, xy3001) 17.47/6.51 new_esEs19(xy4000, xy3000, app(ty_Ratio, fa)) -> new_esEs18(xy4000, xy3000, fa) 17.47/6.51 new_primPlusNat0(Succ(xy3200), Zero) -> Succ(xy3200) 17.47/6.51 new_primPlusNat0(Zero, Succ(xy3000000)) -> Succ(xy3000000) 17.47/6.51 new_esEs11(Left(xy4000), Left(xy3000), ty_Bool, db) -> new_esEs6(xy4000, xy3000) 17.47/6.51 new_esEs7(Just(xy4000), Just(xy3000), app(ty_Ratio, ce)) -> new_esEs18(xy4000, xy3000, ce) 17.47/6.51 new_primEqInt(Neg(Zero), Neg(Zero)) -> True 17.47/6.51 new_esEs26(xy4002, xy3002, app(ty_Ratio, bef)) -> new_esEs18(xy4002, xy3002, bef) 17.47/6.51 new_esEs11(Right(xy4000), Right(xy3000), da, app(app(app(ty_@3, bac), bad), bae)) -> new_esEs12(xy4000, xy3000, bac, bad, bae) 17.47/6.51 new_esEs25(xy4001, xy3001, app(app(ty_@2, bcc), bcd)) -> new_esEs10(xy4001, xy3001, bcc, bcd) 17.47/6.51 new_esEs26(xy4002, xy3002, ty_Bool) -> new_esEs6(xy4002, xy3002) 17.47/6.51 new_primPlusNat1(Zero, xy300000) -> Succ(xy300000) 17.47/6.51 new_esEs16(LT, GT) -> False 17.47/6.51 new_esEs16(GT, LT) -> False 17.47/6.51 new_esEs24(xy4000, xy3000, ty_Int) -> new_esEs14(xy4000, xy3000) 17.47/6.51 new_esEs4(xy400, xy300, app(ty_Maybe, bc)) -> new_esEs7(xy400, xy300, bc) 17.47/6.51 new_esEs26(xy4002, xy3002, app(app(app(ty_@3, bea), beb), bec)) -> new_esEs12(xy4002, xy3002, bea, beb, bec) 17.47/6.51 new_esEs25(xy4001, xy3001, ty_Integer) -> new_esEs8(xy4001, xy3001) 17.47/6.51 new_esEs7(Just(xy4000), Just(xy3000), ty_Int) -> new_esEs14(xy4000, xy3000) 17.47/6.51 new_esEs19(xy4000, xy3000, app(app(ty_@2, dh), ea)) -> new_esEs10(xy4000, xy3000, dh, ea) 17.47/6.51 new_esEs11(Left(xy4000), Left(xy3000), ty_Ordering, db) -> new_esEs16(xy4000, xy3000) 17.47/6.51 new_esEs4(xy400, xy300, ty_Int) -> new_esEs14(xy400, xy300) 17.47/6.51 new_esEs24(xy4000, xy3000, ty_Integer) -> new_esEs8(xy4000, xy3000) 17.47/6.51 new_primEqInt(Pos(Zero), Neg(Zero)) -> True 17.47/6.51 new_primEqInt(Neg(Zero), Pos(Zero)) -> True 17.47/6.51 new_esEs24(xy4000, xy3000, app(ty_Maybe, bbh)) -> new_esEs7(xy4000, xy3000, bbh) 17.47/6.51 new_esEs20(xy4001, xy3001, ty_Char) -> new_esEs13(xy4001, xy3001) 17.47/6.51 new_esEs25(xy4001, xy3001, app(app(app(ty_@3, bcg), bch), bda)) -> new_esEs12(xy4001, xy3001, bcg, bch, bda) 17.47/6.51 new_esEs5(:(xy4010, xy4011), [], bb) -> False 17.47/6.51 new_esEs5([], :(xy3010, xy3011), bb) -> False 17.47/6.51 new_primEqNat0(Zero, Zero) -> True 17.47/6.51 new_esEs19(xy4000, xy3000, ty_Integer) -> new_esEs8(xy4000, xy3000) 17.47/6.51 new_esEs11(Left(xy4000), Left(xy3000), app(ty_Maybe, hd), db) -> new_esEs7(xy4000, xy3000, hd) 17.47/6.51 new_esEs4(xy400, xy300, ty_Bool) -> new_esEs6(xy400, xy300) 17.47/6.51 new_esEs21(xy4010, xy3010, app(ty_[], df)) -> new_esEs5(xy4010, xy3010, df) 17.47/6.51 new_esEs11(Left(xy4000), Left(xy3000), ty_Float, db) -> new_esEs17(xy4000, xy3000) 17.47/6.51 new_asAs(False, xy31) -> False 17.47/6.51 new_esEs20(xy4001, xy3001, app(app(ty_Either, fd), ff)) -> new_esEs11(xy4001, xy3001, fd, ff) 17.47/6.51 new_esEs21(xy4010, xy3010, ty_Char) -> new_esEs13(xy4010, xy3010) 17.47/6.51 new_esEs19(xy4000, xy3000, app(app(app(ty_@3, ed), ee), ef)) -> new_esEs12(xy4000, xy3000, ed, ee, ef) 17.47/6.51 new_esEs25(xy4001, xy3001, app(ty_Ratio, bdd)) -> new_esEs18(xy4001, xy3001, bdd) 17.47/6.51 new_esEs11(Left(xy4000), Left(xy3000), ty_Int, db) -> new_esEs14(xy4000, xy3000) 17.47/6.51 new_esEs26(xy4002, xy3002, app(app(ty_@2, bde), bdf)) -> new_esEs10(xy4002, xy3002, bde, bdf) 17.47/6.51 new_esEs7(Just(xy4000), Just(xy3000), ty_Double) -> new_esEs15(xy4000, xy3000) 17.47/6.51 new_esEs26(xy4002, xy3002, app(ty_[], bee)) -> new_esEs5(xy4002, xy3002, bee) 17.47/6.51 new_esEs24(xy4000, xy3000, ty_Double) -> new_esEs15(xy4000, xy3000) 17.47/6.51 new_esEs19(xy4000, xy3000, app(app(ty_Either, eb), ec)) -> new_esEs11(xy4000, xy3000, eb, ec) 17.47/6.51 new_esEs10(@2(xy4000, xy4001), @2(xy3000, xy3001), cf, cg) -> new_asAs(new_esEs19(xy4000, xy3000, cf), new_esEs20(xy4001, xy3001, cg)) 17.47/6.51 new_esEs26(xy4002, xy3002, ty_Char) -> new_esEs13(xy4002, xy3002) 17.47/6.51 new_esEs25(xy4001, xy3001, app(app(ty_Either, bce), bcf)) -> new_esEs11(xy4001, xy3001, bce, bcf) 17.47/6.51 new_esEs23(xy4001, xy3001, ty_Int) -> new_esEs14(xy4001, xy3001) 17.47/6.51 new_esEs4(xy400, xy300, ty_Ordering) -> new_esEs16(xy400, xy300) 17.47/6.51 new_esEs20(xy4001, xy3001, app(app(app(ty_@3, fg), fh), ga)) -> new_esEs12(xy4001, xy3001, fg, fh, ga) 17.47/6.51 new_esEs21(xy4010, xy3010, ty_@0) -> new_esEs9(xy4010, xy3010) 17.47/6.51 17.47/6.51 The set Q consists of the following terms: 17.47/6.51 17.47/6.51 new_primEqInt(Pos(Succ(x0)), Neg(x1)) 17.47/6.51 new_primEqInt(Neg(Succ(x0)), Pos(x1)) 17.47/6.51 new_esEs26(x0, x1, ty_@0) 17.47/6.51 new_esEs14(x0, x1) 17.47/6.51 new_esEs19(x0, x1, app(ty_[], x2)) 17.47/6.51 new_esEs11(Right(x0), Right(x1), x2, ty_Bool) 17.47/6.51 new_esEs20(x0, x1, app(ty_Ratio, x2)) 17.47/6.51 new_esEs24(x0, x1, ty_Int) 17.47/6.51 new_esEs11(Left(x0), Left(x1), app(ty_Maybe, x2), x3) 17.47/6.51 new_esEs7(Just(x0), Just(x1), ty_Float) 17.47/6.51 new_esEs21(x0, x1, app(app(app(ty_@3, x2), x3), x4)) 17.47/6.51 new_primMulNat0(Zero, Zero) 17.47/6.51 new_esEs4(x0, x1, ty_Bool) 17.47/6.51 new_esEs20(x0, x1, ty_Bool) 17.47/6.51 new_esEs20(x0, x1, ty_@0) 17.47/6.51 new_esEs22(x0, x1, ty_Int) 17.47/6.51 new_esEs4(x0, x1, ty_Integer) 17.47/6.51 new_esEs26(x0, x1, ty_Bool) 17.47/6.51 new_esEs4(x0, x1, app(ty_[], x2)) 17.47/6.51 new_esEs10(@2(x0, x1), @2(x2, x3), x4, x5) 17.47/6.51 new_esEs7(Just(x0), Just(x1), ty_Double) 17.47/6.51 new_primMulNat0(Succ(x0), Zero) 17.47/6.51 new_esEs11(Left(x0), Left(x1), app(app(ty_@2, x2), x3), x4) 17.47/6.51 new_primEqInt(Pos(Zero), Pos(Zero)) 17.47/6.51 new_esEs25(x0, x1, ty_@0) 17.47/6.51 new_esEs11(Left(x0), Left(x1), app(app(ty_Either, x2), x3), x4) 17.47/6.51 new_esEs19(x0, x1, app(app(ty_Either, x2), x3)) 17.47/6.51 new_primPlusNat0(Succ(x0), Zero) 17.47/6.51 new_esEs19(x0, x1, app(app(ty_@2, x2), x3)) 17.47/6.51 new_esEs26(x0, x1, app(app(app(ty_@3, x2), x3), x4)) 17.47/6.51 new_esEs11(Right(x0), Right(x1), x2, app(ty_Ratio, x3)) 17.47/6.51 new_esEs11(Left(x0), Left(x1), ty_Double, x2) 17.47/6.51 new_esEs25(x0, x1, ty_Int) 17.47/6.51 new_esEs8(Integer(x0), Integer(x1)) 17.47/6.51 new_esEs4(x0, x1, ty_@0) 17.47/6.51 new_esEs4(x0, x1, app(ty_Maybe, x2)) 17.47/6.51 new_esEs24(x0, x1, ty_Double) 17.47/6.51 new_esEs5([], [], x0) 17.47/6.51 new_esEs16(EQ, EQ) 17.47/6.51 new_esEs24(x0, x1, ty_Char) 17.47/6.51 new_esEs19(x0, x1, app(ty_Maybe, x2)) 17.47/6.51 new_esEs19(x0, x1, ty_Double) 17.47/6.51 new_esEs11(Left(x0), Right(x1), x2, x3) 17.47/6.51 new_esEs11(Right(x0), Left(x1), x2, x3) 17.47/6.51 new_esEs20(x0, x1, app(app(ty_Either, x2), x3)) 17.47/6.51 new_primPlusNat1(Zero, x0) 17.47/6.51 new_primEqInt(Neg(Zero), Neg(Zero)) 17.47/6.51 new_esEs7(Just(x0), Just(x1), app(ty_Ratio, x2)) 17.47/6.51 new_esEs21(x0, x1, ty_Bool) 17.47/6.51 new_primPlusNat0(Zero, Zero) 17.47/6.51 new_esEs25(x0, x1, ty_Char) 17.47/6.51 new_sr(Pos(x0), Neg(x1)) 17.47/6.51 new_sr(Neg(x0), Pos(x1)) 17.47/6.51 new_esEs7(Just(x0), Just(x1), ty_Char) 17.47/6.51 new_esEs6(False, True) 17.47/6.51 new_esEs6(True, False) 17.47/6.51 new_esEs19(x0, x1, ty_Float) 17.47/6.51 new_esEs20(x0, x1, app(ty_Maybe, x2)) 17.47/6.51 new_esEs19(x0, x1, app(ty_Ratio, x2)) 17.47/6.51 new_esEs20(x0, x1, ty_Integer) 17.47/6.51 new_esEs26(x0, x1, app(ty_[], x2)) 17.47/6.51 new_esEs19(x0, x1, ty_@0) 17.47/6.51 new_asAs(True, x0) 17.47/6.51 new_asAs(False, x0) 17.47/6.51 new_primPlusNat0(Zero, Succ(x0)) 17.47/6.51 new_esEs25(x0, x1, ty_Bool) 17.47/6.51 new_esEs25(x0, x1, ty_Ordering) 17.47/6.51 new_esEs21(x0, x1, ty_Char) 17.47/6.51 new_esEs21(x0, x1, app(ty_Maybe, x2)) 17.47/6.51 new_esEs6(False, False) 17.47/6.51 new_esEs11(Left(x0), Left(x1), ty_Int, x2) 17.47/6.51 new_esEs24(x0, x1, app(ty_Ratio, x2)) 17.47/6.51 new_esEs11(Right(x0), Right(x1), x2, ty_Integer) 17.47/6.51 new_esEs24(x0, x1, ty_@0) 17.47/6.51 new_esEs11(Left(x0), Left(x1), app(ty_[], x2), x3) 17.47/6.51 new_esEs25(x0, x1, app(app(ty_@2, x2), x3)) 17.47/6.51 new_primEqInt(Pos(Zero), Neg(Zero)) 17.47/6.51 new_primEqInt(Neg(Zero), Pos(Zero)) 17.47/6.51 new_esEs20(x0, x1, app(app(app(ty_@3, x2), x3), x4)) 17.47/6.51 new_esEs11(Right(x0), Right(x1), x2, app(app(app(ty_@3, x3), x4), x5)) 17.47/6.51 new_esEs21(x0, x1, app(app(ty_@2, x2), x3)) 17.47/6.51 new_esEs11(Left(x0), Left(x1), ty_@0, x2) 17.47/6.51 new_esEs25(x0, x1, ty_Integer) 17.47/6.51 new_esEs21(x0, x1, ty_@0) 17.47/6.51 new_esEs4(x0, x1, app(app(ty_@2, x2), x3)) 17.47/6.51 new_esEs7(Just(x0), Just(x1), ty_Int) 17.47/6.51 new_sr(Neg(x0), Neg(x1)) 17.47/6.51 new_esEs25(x0, x1, app(app(ty_Either, x2), x3)) 17.47/6.51 new_esEs24(x0, x1, ty_Float) 17.47/6.51 new_esEs11(Left(x0), Left(x1), app(app(app(ty_@3, x2), x3), x4), x5) 17.47/6.51 new_primMulNat0(Succ(x0), Succ(x1)) 17.47/6.51 new_primEqInt(Neg(Succ(x0)), Neg(Zero)) 17.47/6.51 new_esEs21(x0, x1, ty_Float) 17.47/6.51 new_primEqInt(Neg(Succ(x0)), Neg(Succ(x1))) 17.47/6.51 new_esEs24(x0, x1, app(ty_Maybe, x2)) 17.47/6.51 new_primEqInt(Pos(Zero), Neg(Succ(x0))) 17.47/6.51 new_primEqInt(Neg(Zero), Pos(Succ(x0))) 17.47/6.51 new_primEqNat0(Zero, Succ(x0)) 17.47/6.51 new_esEs7(Just(x0), Just(x1), ty_@0) 17.47/6.51 new_esEs11(Left(x0), Left(x1), ty_Float, x2) 17.47/6.51 new_esEs5(:(x0, x1), [], x2) 17.47/6.51 new_esEs24(x0, x1, ty_Integer) 17.47/6.51 new_esEs9(@0, @0) 17.47/6.51 new_esEs26(x0, x1, ty_Double) 17.47/6.51 new_esEs11(Right(x0), Right(x1), x2, ty_Double) 17.47/6.51 new_esEs7(Just(x0), Just(x1), ty_Bool) 17.47/6.51 new_esEs21(x0, x1, ty_Ordering) 17.47/6.51 new_esEs7(Nothing, Nothing, x0) 17.47/6.51 new_esEs16(LT, GT) 17.47/6.51 new_esEs16(GT, LT) 17.47/6.51 new_esEs4(x0, x1, ty_Ordering) 17.47/6.51 new_esEs11(Right(x0), Right(x1), x2, ty_Ordering) 17.47/6.51 new_primMulNat0(Zero, Succ(x0)) 17.47/6.51 new_esEs26(x0, x1, ty_Ordering) 17.47/6.51 new_esEs7(Just(x0), Just(x1), app(app(ty_Either, x2), x3)) 17.47/6.51 new_esEs20(x0, x1, app(app(ty_@2, x2), x3)) 17.47/6.51 new_esEs21(x0, x1, ty_Int) 17.47/6.51 new_esEs21(x0, x1, ty_Double) 17.47/6.51 new_esEs7(Just(x0), Nothing, x1) 17.47/6.51 new_esEs26(x0, x1, ty_Float) 17.47/6.51 new_esEs26(x0, x1, app(app(ty_@2, x2), x3)) 17.47/6.51 new_esEs20(x0, x1, ty_Ordering) 17.47/6.51 new_esEs18(:%(x0, x1), :%(x2, x3), x4) 17.47/6.51 new_esEs4(x0, x1, ty_Float) 17.47/6.51 new_esEs15(Double(x0, x1), Double(x2, x3)) 17.47/6.51 new_esEs11(Right(x0), Right(x1), x2, app(ty_[], x3)) 17.47/6.51 new_esEs11(Right(x0), Right(x1), x2, ty_Float) 17.47/6.51 new_esEs26(x0, x1, app(ty_Ratio, x2)) 17.47/6.51 new_esEs5(:(x0, x1), :(x2, x3), x4) 17.47/6.51 new_primEqNat0(Succ(x0), Succ(x1)) 17.47/6.51 new_primEqInt(Pos(Zero), Pos(Succ(x0))) 17.47/6.51 new_esEs4(x0, x1, ty_Char) 17.47/6.51 new_esEs11(Left(x0), Left(x1), ty_Bool, x2) 17.47/6.51 new_esEs20(x0, x1, app(ty_[], x2)) 17.47/6.51 new_esEs24(x0, x1, ty_Bool) 17.47/6.51 new_esEs4(x0, x1, ty_Double) 17.47/6.51 new_esEs24(x0, x1, app(ty_[], x2)) 17.47/6.51 new_esEs24(x0, x1, app(app(ty_Either, x2), x3)) 17.47/6.51 new_esEs21(x0, x1, app(ty_Ratio, x2)) 17.47/6.51 new_esEs26(x0, x1, ty_Int) 17.47/6.51 new_esEs19(x0, x1, ty_Int) 17.47/6.51 new_esEs7(Nothing, Just(x0), x1) 17.47/6.51 new_esEs11(Left(x0), Left(x1), ty_Char, x2) 17.47/6.51 new_esEs4(x0, x1, app(ty_Ratio, x2)) 17.47/6.51 new_esEs20(x0, x1, ty_Float) 17.47/6.51 new_esEs24(x0, x1, app(app(app(ty_@3, x2), x3), x4)) 17.47/6.51 new_esEs19(x0, x1, ty_Char) 17.47/6.51 new_esEs23(x0, x1, ty_Integer) 17.47/6.51 new_esEs4(x0, x1, ty_Int) 17.47/6.51 new_primEqInt(Neg(Zero), Neg(Succ(x0))) 17.47/6.51 new_esEs17(Float(x0, x1), Float(x2, x3)) 17.47/6.51 new_esEs11(Right(x0), Right(x1), x2, app(app(ty_@2, x3), x4)) 17.47/6.51 new_esEs25(x0, x1, ty_Double) 17.47/6.51 new_esEs21(x0, x1, app(app(ty_Either, x2), x3)) 17.47/6.51 new_esEs7(Just(x0), Just(x1), app(app(ty_@2, x2), x3)) 17.47/6.51 new_esEs25(x0, x1, app(ty_Ratio, x2)) 17.47/6.51 new_esEs22(x0, x1, ty_Integer) 17.47/6.51 new_esEs26(x0, x1, app(ty_Maybe, x2)) 17.47/6.51 new_esEs11(Left(x0), Left(x1), app(ty_Ratio, x2), x3) 17.47/6.51 new_primEqNat0(Zero, Zero) 17.47/6.51 new_esEs26(x0, x1, ty_Char) 17.47/6.51 new_esEs19(x0, x1, ty_Bool) 17.47/6.51 new_esEs6(True, True) 17.47/6.51 new_esEs19(x0, x1, ty_Ordering) 17.47/6.51 new_primPlusNat1(Succ(x0), x1) 17.47/6.51 new_esEs25(x0, x1, app(ty_[], x2)) 17.47/6.51 new_esEs16(LT, LT) 17.47/6.51 new_esEs11(Right(x0), Right(x1), x2, ty_Char) 17.47/6.51 new_esEs7(Just(x0), Just(x1), app(app(app(ty_@3, x2), x3), x4)) 17.47/6.51 new_esEs7(Just(x0), Just(x1), app(ty_Maybe, x2)) 17.47/6.51 new_esEs4(x0, x1, app(app(ty_Either, x2), x3)) 17.47/6.51 new_esEs7(Just(x0), Just(x1), ty_Integer) 17.47/6.51 new_esEs26(x0, x1, app(app(ty_Either, x2), x3)) 17.47/6.51 new_esEs25(x0, x1, ty_Float) 17.47/6.51 new_esEs20(x0, x1, ty_Int) 17.47/6.51 new_esEs13(Char(x0), Char(x1)) 17.47/6.51 new_esEs26(x0, x1, ty_Integer) 17.47/6.51 new_esEs16(EQ, GT) 17.47/6.51 new_esEs16(GT, EQ) 17.47/6.51 new_primEqInt(Pos(Succ(x0)), Pos(Zero)) 17.47/6.51 new_esEs12(@3(x0, x1, x2), @3(x3, x4, x5), x6, x7, x8) 17.47/6.51 new_esEs23(x0, x1, ty_Int) 17.47/6.51 new_esEs24(x0, x1, ty_Ordering) 17.47/6.51 new_esEs25(x0, x1, app(ty_Maybe, x2)) 17.47/6.51 new_esEs24(x0, x1, app(app(ty_@2, x2), x3)) 17.47/6.51 new_sr(Pos(x0), Pos(x1)) 17.47/6.51 new_esEs11(Right(x0), Right(x1), x2, ty_Int) 17.47/6.51 new_esEs25(x0, x1, app(app(app(ty_@3, x2), x3), x4)) 17.47/6.51 new_esEs19(x0, x1, ty_Integer) 17.47/6.51 new_esEs7(Just(x0), Just(x1), app(ty_[], x2)) 17.47/6.51 new_esEs21(x0, x1, ty_Integer) 17.47/6.51 new_esEs19(x0, x1, app(app(app(ty_@3, x2), x3), x4)) 17.47/6.51 new_primEqInt(Pos(Succ(x0)), Pos(Succ(x1))) 17.47/6.51 new_esEs11(Left(x0), Left(x1), ty_Ordering, x2) 17.47/6.51 new_esEs11(Right(x0), Right(x1), x2, app(ty_Maybe, x3)) 17.47/6.51 new_esEs7(Just(x0), Just(x1), ty_Ordering) 17.47/6.51 new_esEs11(Right(x0), Right(x1), x2, app(app(ty_Either, x3), x4)) 17.47/6.51 new_esEs11(Right(x0), Right(x1), x2, ty_@0) 17.47/6.51 new_esEs5([], :(x0, x1), x2) 17.47/6.51 new_esEs16(LT, EQ) 17.47/6.51 new_esEs16(EQ, LT) 17.47/6.51 new_primPlusNat0(Succ(x0), Succ(x1)) 17.47/6.51 new_esEs20(x0, x1, ty_Char) 17.47/6.51 new_primEqNat0(Succ(x0), Zero) 17.47/6.51 new_esEs21(x0, x1, app(ty_[], x2)) 17.47/6.51 new_esEs16(GT, GT) 17.47/6.51 new_esEs4(x0, x1, app(app(app(ty_@3, x2), x3), x4)) 17.47/6.51 new_esEs20(x0, x1, ty_Double) 17.47/6.51 new_esEs11(Left(x0), Left(x1), ty_Integer, x2) 17.47/6.51 17.47/6.51 We have to consider all minimal (P,Q,R)-chains. 17.47/6.51 ---------------------------------------- 17.47/6.51 17.47/6.51 (16) QDPSizeChangeProof (EQUIVALENT) 17.47/6.51 By using the subterm criterion [SUBTERM_CRITERION] together with the size-change analysis [AAECC05] we have proven that there are no infinite chains for this DP problem. 17.47/6.51 17.47/6.51 From the DPs we obtained the following set of size-change graphs: 17.47/6.51 *new_deleteBy0(xy12, xy13, xy14, xy15, xy16, False, ba) -> new_deleteBy(:(xy15, xy16), xy12, ba) 17.47/6.51 The graph contains the following edges 1 >= 2, 7 >= 3 17.47/6.51 17.47/6.51 17.47/6.51 *new_deleteBy(:(xy400, xy401), :([], xy31), bb) -> new_deleteBy(:(xy400, xy401), xy31, bb) 17.47/6.51 The graph contains the following edges 1 >= 1, 2 > 2, 3 >= 3 17.47/6.51 17.47/6.51 17.47/6.51 *new_deleteBy(:(xy400, xy401), :(:(xy300, xy301), xy31), bb) -> new_deleteBy0(xy31, xy300, xy301, xy400, xy401, new_asAs(new_esEs4(xy400, xy300, bb), new_esEs5(xy401, xy301, bb)), bb) 17.47/6.51 The graph contains the following edges 2 > 1, 2 > 2, 2 > 3, 1 > 4, 1 > 5, 3 >= 7 17.47/6.51 17.47/6.51 17.47/6.51 ---------------------------------------- 17.47/6.51 17.47/6.51 (17) 17.47/6.51 YES 17.47/6.51 17.47/6.51 ---------------------------------------- 17.47/6.51 17.47/6.51 (18) 17.47/6.51 Obligation: 17.47/6.51 Q DP problem: 17.47/6.51 The TRS P consists of the following rules: 17.47/6.51 17.47/6.51 new_primMulNat(Succ(xy400100), Succ(xy300000)) -> new_primMulNat(xy400100, Succ(xy300000)) 17.47/6.51 17.47/6.51 R is empty. 17.47/6.51 Q is empty. 17.47/6.51 We have to consider all minimal (P,Q,R)-chains. 17.47/6.51 ---------------------------------------- 17.47/6.51 17.47/6.51 (19) QDPSizeChangeProof (EQUIVALENT) 17.47/6.51 By using the subterm criterion [SUBTERM_CRITERION] together with the size-change analysis [AAECC05] we have proven that there are no infinite chains for this DP problem. 17.47/6.51 17.47/6.51 From the DPs we obtained the following set of size-change graphs: 17.47/6.51 *new_primMulNat(Succ(xy400100), Succ(xy300000)) -> new_primMulNat(xy400100, Succ(xy300000)) 17.47/6.51 The graph contains the following edges 1 > 1, 2 >= 2 17.47/6.51 17.47/6.51 17.47/6.51 ---------------------------------------- 17.47/6.51 17.47/6.51 (20) 17.47/6.51 YES 17.47/6.51 17.47/6.51 ---------------------------------------- 17.47/6.51 17.47/6.51 (21) 17.47/6.51 Obligation: 17.47/6.51 Q DP problem: 17.47/6.51 The TRS P consists of the following rules: 17.47/6.51 17.47/6.51 new_esEs1(@3(xy4000, xy4001, xy4002), @3(xy3000, xy3001, xy3002), hf, ge, app(app(ty_Either, bbb), bbc)) -> new_esEs0(xy4002, xy3002, bbb, bbc) 17.47/6.51 new_esEs1(@3(xy4000, xy4001, xy4002), @3(xy3000, xy3001, xy3002), hf, app(app(ty_Either, baa), bab), gf) -> new_esEs0(xy4001, xy3001, baa, bab) 17.47/6.51 new_esEs1(@3(xy4000, xy4001, xy4002), @3(xy3000, xy3001, xy3002), app(app(ty_Either, gg), gh), ge, gf) -> new_esEs0(xy4000, xy3000, gg, gh) 17.47/6.51 new_esEs1(@3(xy4000, xy4001, xy4002), @3(xy3000, xy3001, xy3002), hf, app(ty_[], bag), gf) -> new_esEs3(xy4001, xy3001, bag) 17.47/6.51 new_esEs2(Just(xy4000), Just(xy3000), app(app(ty_@2, bca), bcb)) -> new_esEs(xy4000, xy3000, bca, bcb) 17.47/6.51 new_esEs0(Left(xy4000), Left(xy3000), app(ty_Maybe, ef), dh) -> new_esEs2(xy4000, xy3000, ef) 17.47/6.51 new_esEs0(Right(xy4000), Right(xy3000), eh, app(ty_[], gb)) -> new_esEs3(xy4000, xy3000, gb) 17.47/6.51 new_esEs(@2(xy4000, xy4001), @2(xy3000, xy3001), app(app(ty_@2, ba), bb), bc) -> new_esEs(xy4000, xy3000, ba, bb) 17.47/6.51 new_esEs3(:(xy4010, xy4011), :(xy3010, xy3011), app(ty_Maybe, bdb)) -> new_esEs2(xy4010, xy3010, bdb) 17.47/6.51 new_esEs(@2(xy4000, xy4001), @2(xy3000, xy3001), cc, app(ty_[], de)) -> new_esEs3(xy4001, xy3001, de) 17.47/6.51 new_esEs0(Right(xy4000), Right(xy3000), eh, app(app(ty_Either, fc), fd)) -> new_esEs0(xy4000, xy3000, fc, fd) 17.47/6.51 new_esEs1(@3(xy4000, xy4001, xy4002), @3(xy3000, xy3001, xy3002), app(app(app(ty_@3, ha), hb), hc), ge, gf) -> new_esEs1(xy4000, xy3000, ha, hb, hc) 17.47/6.51 new_esEs1(@3(xy4000, xy4001, xy4002), @3(xy3000, xy3001, xy3002), app(ty_[], he), ge, gf) -> new_esEs3(xy4000, xy3000, he) 17.47/6.51 new_esEs0(Left(xy4000), Left(xy3000), app(app(ty_@2, df), dg), dh) -> new_esEs(xy4000, xy3000, df, dg) 17.47/6.51 new_esEs(@2(xy4000, xy4001), @2(xy3000, xy3001), cc, app(ty_Maybe, dd)) -> new_esEs2(xy4001, xy3001, dd) 17.47/6.51 new_esEs3(:(xy4010, xy4011), :(xy3010, xy3011), app(ty_[], bdc)) -> new_esEs3(xy4010, xy3010, bdc) 17.47/6.51 new_esEs(@2(xy4000, xy4001), @2(xy3000, xy3001), app(app(app(ty_@3, bf), bg), bh), bc) -> new_esEs1(xy4000, xy3000, bf, bg, bh) 17.47/6.51 new_esEs2(Just(xy4000), Just(xy3000), app(ty_Maybe, bch)) -> new_esEs2(xy4000, xy3000, bch) 17.47/6.51 new_esEs(@2(xy4000, xy4001), @2(xy3000, xy3001), app(ty_Maybe, ca), bc) -> new_esEs2(xy4000, xy3000, ca) 17.47/6.51 new_esEs1(@3(xy4000, xy4001, xy4002), @3(xy3000, xy3001, xy3002), hf, app(app(ty_@2, hg), hh), gf) -> new_esEs(xy4001, xy3001, hg, hh) 17.47/6.51 new_esEs1(@3(xy4000, xy4001, xy4002), @3(xy3000, xy3001, xy3002), hf, ge, app(app(ty_@2, bah), bba)) -> new_esEs(xy4002, xy3002, bah, bba) 17.47/6.51 new_esEs2(Just(xy4000), Just(xy3000), app(ty_[], bda)) -> new_esEs3(xy4000, xy3000, bda) 17.47/6.51 new_esEs0(Right(xy4000), Right(xy3000), eh, app(ty_Maybe, ga)) -> new_esEs2(xy4000, xy3000, ga) 17.47/6.51 new_esEs(@2(xy4000, xy4001), @2(xy3000, xy3001), cc, app(app(ty_@2, cd), ce)) -> new_esEs(xy4001, xy3001, cd, ce) 17.47/6.51 new_esEs0(Right(xy4000), Right(xy3000), eh, app(app(ty_@2, fa), fb)) -> new_esEs(xy4000, xy3000, fa, fb) 17.47/6.51 new_esEs(@2(xy4000, xy4001), @2(xy3000, xy3001), cc, app(app(app(ty_@3, da), db), dc)) -> new_esEs1(xy4001, xy3001, da, db, dc) 17.47/6.51 new_esEs1(@3(xy4000, xy4001, xy4002), @3(xy3000, xy3001, xy3002), app(ty_Maybe, hd), ge, gf) -> new_esEs2(xy4000, xy3000, hd) 17.47/6.51 new_esEs3(:(xy4010, xy4011), :(xy3010, xy3011), app(app(ty_@2, cc), bc)) -> new_esEs(xy4010, xy3010, cc, bc) 17.47/6.51 new_esEs3(:(xy4010, xy4011), :(xy3010, xy3011), app(app(app(ty_@3, hf), ge), gf)) -> new_esEs1(xy4010, xy3010, hf, ge, gf) 17.47/6.51 new_esEs(@2(xy4000, xy4001), @2(xy3000, xy3001), app(app(ty_Either, bd), be), bc) -> new_esEs0(xy4000, xy3000, bd, be) 17.47/6.51 new_esEs0(Left(xy4000), Left(xy3000), app(ty_[], eg), dh) -> new_esEs3(xy4000, xy3000, eg) 17.47/6.51 new_esEs0(Left(xy4000), Left(xy3000), app(app(ty_Either, ea), eb), dh) -> new_esEs0(xy4000, xy3000, ea, eb) 17.47/6.51 new_esEs(@2(xy4000, xy4001), @2(xy3000, xy3001), cc, app(app(ty_Either, cf), cg)) -> new_esEs0(xy4001, xy3001, cf, cg) 17.47/6.51 new_esEs3(:(xy4010, xy4011), :(xy3010, xy3011), bdd) -> new_esEs3(xy4011, xy3011, bdd) 17.47/6.51 new_esEs2(Just(xy4000), Just(xy3000), app(app(ty_Either, bcc), bcd)) -> new_esEs0(xy4000, xy3000, bcc, bcd) 17.47/6.51 new_esEs1(@3(xy4000, xy4001, xy4002), @3(xy3000, xy3001, xy3002), hf, ge, app(app(app(ty_@3, bbd), bbe), bbf)) -> new_esEs1(xy4002, xy3002, bbd, bbe, bbf) 17.47/6.51 new_esEs2(Just(xy4000), Just(xy3000), app(app(app(ty_@3, bce), bcf), bcg)) -> new_esEs1(xy4000, xy3000, bce, bcf, bcg) 17.47/6.51 new_esEs(@2(xy4000, xy4001), @2(xy3000, xy3001), app(ty_[], cb), bc) -> new_esEs3(xy4000, xy3000, cb) 17.47/6.51 new_esEs1(@3(xy4000, xy4001, xy4002), @3(xy3000, xy3001, xy3002), app(app(ty_@2, gc), gd), ge, gf) -> new_esEs(xy4000, xy3000, gc, gd) 17.47/6.51 new_esEs0(Left(xy4000), Left(xy3000), app(app(app(ty_@3, ec), ed), ee), dh) -> new_esEs1(xy4000, xy3000, ec, ed, ee) 17.47/6.51 new_esEs0(Right(xy4000), Right(xy3000), eh, app(app(app(ty_@3, ff), fg), fh)) -> new_esEs1(xy4000, xy3000, ff, fg, fh) 17.47/6.51 new_esEs1(@3(xy4000, xy4001, xy4002), @3(xy3000, xy3001, xy3002), hf, ge, app(ty_[], bbh)) -> new_esEs3(xy4002, xy3002, bbh) 17.47/6.51 new_esEs1(@3(xy4000, xy4001, xy4002), @3(xy3000, xy3001, xy3002), hf, app(app(app(ty_@3, bac), bad), bae), gf) -> new_esEs1(xy4001, xy3001, bac, bad, bae) 17.47/6.51 new_esEs1(@3(xy4000, xy4001, xy4002), @3(xy3000, xy3001, xy3002), hf, ge, app(ty_Maybe, bbg)) -> new_esEs2(xy4002, xy3002, bbg) 17.47/6.51 new_esEs3(:(xy4010, xy4011), :(xy3010, xy3011), app(app(ty_Either, eh), dh)) -> new_esEs0(xy4010, xy3010, eh, dh) 17.47/6.51 new_esEs1(@3(xy4000, xy4001, xy4002), @3(xy3000, xy3001, xy3002), hf, app(ty_Maybe, baf), gf) -> new_esEs2(xy4001, xy3001, baf) 17.47/6.51 17.47/6.51 R is empty. 17.47/6.51 Q is empty. 17.47/6.51 We have to consider all minimal (P,Q,R)-chains. 17.47/6.51 ---------------------------------------- 17.47/6.51 17.47/6.51 (22) QDPSizeChangeProof (EQUIVALENT) 17.47/6.51 By using the subterm criterion [SUBTERM_CRITERION] together with the size-change analysis [AAECC05] we have proven that there are no infinite chains for this DP problem. 17.47/6.51 17.47/6.51 From the DPs we obtained the following set of size-change graphs: 17.47/6.51 *new_esEs3(:(xy4010, xy4011), :(xy3010, xy3011), app(app(app(ty_@3, hf), ge), gf)) -> new_esEs1(xy4010, xy3010, hf, ge, gf) 17.47/6.51 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 17.47/6.51 17.47/6.51 17.47/6.51 *new_esEs3(:(xy4010, xy4011), :(xy3010, xy3011), app(ty_Maybe, bdb)) -> new_esEs2(xy4010, xy3010, bdb) 17.47/6.51 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 17.47/6.51 17.47/6.51 17.47/6.51 *new_esEs2(Just(xy4000), Just(xy3000), app(app(app(ty_@3, bce), bcf), bcg)) -> new_esEs1(xy4000, xy3000, bce, bcf, bcg) 17.47/6.51 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 17.47/6.51 17.47/6.51 17.47/6.51 *new_esEs3(:(xy4010, xy4011), :(xy3010, xy3011), app(app(ty_Either, eh), dh)) -> new_esEs0(xy4010, xy3010, eh, dh) 17.47/6.51 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 17.47/6.51 17.47/6.51 17.47/6.51 *new_esEs2(Just(xy4000), Just(xy3000), app(ty_Maybe, bch)) -> new_esEs2(xy4000, xy3000, bch) 17.47/6.51 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 17.47/6.51 17.47/6.51 17.47/6.51 *new_esEs2(Just(xy4000), Just(xy3000), app(app(ty_Either, bcc), bcd)) -> new_esEs0(xy4000, xy3000, bcc, bcd) 17.47/6.51 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 17.47/6.51 17.47/6.51 17.47/6.51 *new_esEs3(:(xy4010, xy4011), :(xy3010, xy3011), app(app(ty_@2, cc), bc)) -> new_esEs(xy4010, xy3010, cc, bc) 17.47/6.51 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 17.47/6.51 17.47/6.51 17.47/6.51 *new_esEs2(Just(xy4000), Just(xy3000), app(app(ty_@2, bca), bcb)) -> new_esEs(xy4000, xy3000, bca, bcb) 17.47/6.51 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 17.47/6.51 17.47/6.51 17.47/6.51 *new_esEs2(Just(xy4000), Just(xy3000), app(ty_[], bda)) -> new_esEs3(xy4000, xy3000, bda) 17.47/6.51 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 17.47/6.51 17.47/6.51 17.47/6.51 *new_esEs0(Left(xy4000), Left(xy3000), app(app(app(ty_@3, ec), ed), ee), dh) -> new_esEs1(xy4000, xy3000, ec, ed, ee) 17.47/6.51 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 17.47/6.51 17.47/6.51 17.47/6.51 *new_esEs0(Right(xy4000), Right(xy3000), eh, app(app(app(ty_@3, ff), fg), fh)) -> new_esEs1(xy4000, xy3000, ff, fg, fh) 17.47/6.51 The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4, 4 > 5 17.47/6.51 17.47/6.51 17.47/6.51 *new_esEs0(Left(xy4000), Left(xy3000), app(ty_Maybe, ef), dh) -> new_esEs2(xy4000, xy3000, ef) 17.47/6.51 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 17.47/6.51 17.47/6.51 17.47/6.51 *new_esEs0(Right(xy4000), Right(xy3000), eh, app(ty_Maybe, ga)) -> new_esEs2(xy4000, xy3000, ga) 17.47/6.51 The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 17.47/6.51 17.47/6.51 17.47/6.51 *new_esEs0(Right(xy4000), Right(xy3000), eh, app(app(ty_Either, fc), fd)) -> new_esEs0(xy4000, xy3000, fc, fd) 17.47/6.51 The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 17.47/6.51 17.47/6.51 17.47/6.51 *new_esEs0(Left(xy4000), Left(xy3000), app(app(ty_Either, ea), eb), dh) -> new_esEs0(xy4000, xy3000, ea, eb) 17.47/6.51 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 17.47/6.51 17.47/6.51 17.47/6.51 *new_esEs0(Left(xy4000), Left(xy3000), app(app(ty_@2, df), dg), dh) -> new_esEs(xy4000, xy3000, df, dg) 17.47/6.51 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 17.47/6.51 17.47/6.51 17.47/6.51 *new_esEs0(Right(xy4000), Right(xy3000), eh, app(app(ty_@2, fa), fb)) -> new_esEs(xy4000, xy3000, fa, fb) 17.47/6.51 The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 17.47/6.51 17.47/6.51 17.47/6.51 *new_esEs0(Right(xy4000), Right(xy3000), eh, app(ty_[], gb)) -> new_esEs3(xy4000, xy3000, gb) 17.47/6.51 The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 17.47/6.51 17.47/6.51 17.47/6.51 *new_esEs0(Left(xy4000), Left(xy3000), app(ty_[], eg), dh) -> new_esEs3(xy4000, xy3000, eg) 17.47/6.51 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 17.47/6.51 17.47/6.51 17.47/6.51 *new_esEs(@2(xy4000, xy4001), @2(xy3000, xy3001), app(app(app(ty_@3, bf), bg), bh), bc) -> new_esEs1(xy4000, xy3000, bf, bg, bh) 17.47/6.51 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 17.47/6.51 17.47/6.51 17.47/6.51 *new_esEs(@2(xy4000, xy4001), @2(xy3000, xy3001), cc, app(app(app(ty_@3, da), db), dc)) -> new_esEs1(xy4001, xy3001, da, db, dc) 17.47/6.51 The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4, 4 > 5 17.47/6.51 17.47/6.51 17.47/6.51 *new_esEs1(@3(xy4000, xy4001, xy4002), @3(xy3000, xy3001, xy3002), app(app(app(ty_@3, ha), hb), hc), ge, gf) -> new_esEs1(xy4000, xy3000, ha, hb, hc) 17.47/6.51 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 17.47/6.51 17.47/6.51 17.47/6.51 *new_esEs1(@3(xy4000, xy4001, xy4002), @3(xy3000, xy3001, xy3002), hf, ge, app(app(app(ty_@3, bbd), bbe), bbf)) -> new_esEs1(xy4002, xy3002, bbd, bbe, bbf) 17.47/6.51 The graph contains the following edges 1 > 1, 2 > 2, 5 > 3, 5 > 4, 5 > 5 17.47/6.51 17.47/6.51 17.47/6.51 *new_esEs1(@3(xy4000, xy4001, xy4002), @3(xy3000, xy3001, xy3002), hf, app(app(app(ty_@3, bac), bad), bae), gf) -> new_esEs1(xy4001, xy3001, bac, bad, bae) 17.47/6.51 The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4, 4 > 5 17.47/6.51 17.47/6.51 17.47/6.51 *new_esEs3(:(xy4010, xy4011), :(xy3010, xy3011), app(ty_[], bdc)) -> new_esEs3(xy4010, xy3010, bdc) 17.47/6.51 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 17.47/6.51 17.47/6.51 17.47/6.51 *new_esEs3(:(xy4010, xy4011), :(xy3010, xy3011), bdd) -> new_esEs3(xy4011, xy3011, bdd) 17.47/6.51 The graph contains the following edges 1 > 1, 2 > 2, 3 >= 3 17.47/6.51 17.47/6.51 17.47/6.51 *new_esEs(@2(xy4000, xy4001), @2(xy3000, xy3001), cc, app(ty_Maybe, dd)) -> new_esEs2(xy4001, xy3001, dd) 17.47/6.51 The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 17.47/6.51 17.47/6.51 17.47/6.51 *new_esEs(@2(xy4000, xy4001), @2(xy3000, xy3001), app(ty_Maybe, ca), bc) -> new_esEs2(xy4000, xy3000, ca) 17.47/6.51 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 17.47/6.51 17.47/6.51 17.47/6.51 *new_esEs(@2(xy4000, xy4001), @2(xy3000, xy3001), app(app(ty_Either, bd), be), bc) -> new_esEs0(xy4000, xy3000, bd, be) 17.47/6.51 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 17.47/6.51 17.47/6.51 17.47/6.51 *new_esEs(@2(xy4000, xy4001), @2(xy3000, xy3001), cc, app(app(ty_Either, cf), cg)) -> new_esEs0(xy4001, xy3001, cf, cg) 17.47/6.51 The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 17.47/6.51 17.47/6.51 17.47/6.51 *new_esEs(@2(xy4000, xy4001), @2(xy3000, xy3001), app(app(ty_@2, ba), bb), bc) -> new_esEs(xy4000, xy3000, ba, bb) 17.47/6.51 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 17.47/6.51 17.47/6.51 17.47/6.51 *new_esEs(@2(xy4000, xy4001), @2(xy3000, xy3001), cc, app(app(ty_@2, cd), ce)) -> new_esEs(xy4001, xy3001, cd, ce) 17.47/6.51 The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 17.47/6.51 17.47/6.51 17.47/6.51 *new_esEs(@2(xy4000, xy4001), @2(xy3000, xy3001), cc, app(ty_[], de)) -> new_esEs3(xy4001, xy3001, de) 17.47/6.51 The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 17.47/6.51 17.47/6.51 17.47/6.51 *new_esEs(@2(xy4000, xy4001), @2(xy3000, xy3001), app(ty_[], cb), bc) -> new_esEs3(xy4000, xy3000, cb) 17.47/6.51 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 17.47/6.51 17.47/6.51 17.47/6.51 *new_esEs1(@3(xy4000, xy4001, xy4002), @3(xy3000, xy3001, xy3002), app(ty_Maybe, hd), ge, gf) -> new_esEs2(xy4000, xy3000, hd) 17.47/6.51 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 17.47/6.51 17.47/6.51 17.47/6.51 *new_esEs1(@3(xy4000, xy4001, xy4002), @3(xy3000, xy3001, xy3002), hf, ge, app(ty_Maybe, bbg)) -> new_esEs2(xy4002, xy3002, bbg) 17.47/6.51 The graph contains the following edges 1 > 1, 2 > 2, 5 > 3 17.47/6.51 17.47/6.51 17.47/6.51 *new_esEs1(@3(xy4000, xy4001, xy4002), @3(xy3000, xy3001, xy3002), hf, app(ty_Maybe, baf), gf) -> new_esEs2(xy4001, xy3001, baf) 17.47/6.51 The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 17.47/6.51 17.47/6.51 17.47/6.51 *new_esEs1(@3(xy4000, xy4001, xy4002), @3(xy3000, xy3001, xy3002), hf, ge, app(app(ty_Either, bbb), bbc)) -> new_esEs0(xy4002, xy3002, bbb, bbc) 17.47/6.51 The graph contains the following edges 1 > 1, 2 > 2, 5 > 3, 5 > 4 17.47/6.51 17.47/6.51 17.47/6.51 *new_esEs1(@3(xy4000, xy4001, xy4002), @3(xy3000, xy3001, xy3002), hf, app(app(ty_Either, baa), bab), gf) -> new_esEs0(xy4001, xy3001, baa, bab) 17.47/6.51 The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 17.47/6.51 17.47/6.51 17.47/6.51 *new_esEs1(@3(xy4000, xy4001, xy4002), @3(xy3000, xy3001, xy3002), app(app(ty_Either, gg), gh), ge, gf) -> new_esEs0(xy4000, xy3000, gg, gh) 17.47/6.51 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 17.47/6.51 17.47/6.51 17.47/6.51 *new_esEs1(@3(xy4000, xy4001, xy4002), @3(xy3000, xy3001, xy3002), hf, app(app(ty_@2, hg), hh), gf) -> new_esEs(xy4001, xy3001, hg, hh) 17.47/6.51 The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 17.47/6.51 17.47/6.51 17.47/6.51 *new_esEs1(@3(xy4000, xy4001, xy4002), @3(xy3000, xy3001, xy3002), hf, ge, app(app(ty_@2, bah), bba)) -> new_esEs(xy4002, xy3002, bah, bba) 17.47/6.51 The graph contains the following edges 1 > 1, 2 > 2, 5 > 3, 5 > 4 17.47/6.51 17.47/6.51 17.47/6.51 *new_esEs1(@3(xy4000, xy4001, xy4002), @3(xy3000, xy3001, xy3002), app(app(ty_@2, gc), gd), ge, gf) -> new_esEs(xy4000, xy3000, gc, gd) 17.47/6.51 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 17.47/6.51 17.47/6.51 17.47/6.51 *new_esEs1(@3(xy4000, xy4001, xy4002), @3(xy3000, xy3001, xy3002), hf, app(ty_[], bag), gf) -> new_esEs3(xy4001, xy3001, bag) 17.47/6.51 The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 17.47/6.51 17.47/6.51 17.47/6.51 *new_esEs1(@3(xy4000, xy4001, xy4002), @3(xy3000, xy3001, xy3002), app(ty_[], he), ge, gf) -> new_esEs3(xy4000, xy3000, he) 17.47/6.51 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 17.47/6.51 17.47/6.51 17.47/6.51 *new_esEs1(@3(xy4000, xy4001, xy4002), @3(xy3000, xy3001, xy3002), hf, ge, app(ty_[], bbh)) -> new_esEs3(xy4002, xy3002, bbh) 17.47/6.51 The graph contains the following edges 1 > 1, 2 > 2, 5 > 3 17.47/6.51 17.47/6.51 17.47/6.51 ---------------------------------------- 17.47/6.51 17.47/6.51 (23) 17.47/6.51 YES 17.47/6.51 17.47/6.51 ---------------------------------------- 17.47/6.51 17.47/6.51 (24) 17.47/6.51 Obligation: 17.47/6.51 Q DP problem: 17.47/6.51 The TRS P consists of the following rules: 17.47/6.51 17.47/6.51 new_foldl(xy3, :(xy40, xy41), ba) -> new_foldl(new_deleteBy1(xy40, xy3, ba), xy41, ba) 17.47/6.51 17.47/6.51 The TRS R consists of the following rules: 17.47/6.51 17.47/6.51 new_primEqInt(Pos(Zero), Pos(Zero)) -> True 17.47/6.51 new_primPlusNat0(Zero, Zero) -> Zero 17.47/6.51 new_esEs11(Right(xy4000), Right(xy3000), ff, app(app(ty_Either, baa), bab)) -> new_esEs11(xy4000, xy3000, baa, bab) 17.47/6.51 new_esEs21(xy4010, xy3010, app(ty_Ratio, gd)) -> new_esEs18(xy4010, xy3010, gd) 17.47/6.51 new_esEs20(xy4001, xy3001, ty_Ordering) -> new_esEs16(xy4001, xy3001) 17.47/6.51 new_esEs19(xy4000, xy3000, ty_Double) -> new_esEs15(xy4000, xy3000) 17.47/6.51 new_esEs4(xy400, xy300, ty_Char) -> new_esEs13(xy400, xy300) 17.47/6.51 new_esEs6(False, True) -> False 17.47/6.51 new_esEs6(True, False) -> False 17.47/6.51 new_esEs12(@3(xy4000, xy4001, xy4002), @3(xy3000, xy3001, xy3002), fh, ga, gb) -> new_asAs(new_esEs24(xy4000, xy3000, fh), new_asAs(new_esEs25(xy4001, xy3001, ga), new_esEs26(xy4002, xy3002, gb))) 17.47/6.51 new_esEs21(xy4010, xy3010, ty_Int) -> new_esEs14(xy4010, xy3010) 17.47/6.51 new_esEs20(xy4001, xy3001, ty_Bool) -> new_esEs6(xy4001, xy3001) 17.47/6.51 new_esEs7(Just(xy4000), Just(xy3000), app(ty_Maybe, cc)) -> new_esEs7(xy4000, xy3000, cc) 17.47/6.51 new_esEs20(xy4001, xy3001, ty_Integer) -> new_esEs8(xy4001, xy3001) 17.47/6.51 new_esEs21(xy4010, xy3010, app(app(ty_@2, cf), cg)) -> new_esEs10(xy4010, xy3010, cf, cg) 17.47/6.51 new_esEs16(GT, GT) -> True 17.47/6.51 new_primMulNat0(Succ(xy400100), Succ(xy300000)) -> new_primPlusNat1(new_primMulNat0(xy400100, Succ(xy300000)), xy300000) 17.47/6.51 new_esEs11(Right(xy4000), Right(xy3000), ff, ty_Int) -> new_esEs14(xy4000, xy3000) 17.47/6.51 new_esEs5([], [], ba) -> True 17.47/6.51 new_esEs20(xy4001, xy3001, ty_Double) -> new_esEs15(xy4001, xy3001) 17.47/6.51 new_esEs20(xy4001, xy3001, app(ty_[], fc)) -> new_esEs5(xy4001, xy3001, fc) 17.47/6.51 new_asAs(True, xy31) -> xy31 17.47/6.51 new_esEs25(xy4001, xy3001, app(ty_[], bdc)) -> new_esEs5(xy4001, xy3001, bdc) 17.47/6.51 new_esEs26(xy4002, xy3002, app(app(ty_Either, bdg), bdh)) -> new_esEs11(xy4002, xy3002, bdg, bdh) 17.47/6.51 new_esEs25(xy4001, xy3001, ty_Char) -> new_esEs13(xy4001, xy3001) 17.47/6.51 new_esEs15(Double(xy4000, xy4001), Double(xy3000, xy3001)) -> new_esEs14(new_sr(xy4000, xy3001), new_sr(xy4001, xy3000)) 17.47/6.51 new_esEs11(Right(xy4000), Right(xy3000), ff, app(ty_[], bag)) -> new_esEs5(xy4000, xy3000, bag) 17.47/6.51 new_esEs8(Integer(xy4000), Integer(xy3000)) -> new_primEqInt(xy4000, xy3000) 17.47/6.51 new_primEqInt(Pos(Succ(xy40000)), Pos(Zero)) -> False 17.47/6.51 new_primEqInt(Pos(Zero), Pos(Succ(xy30000))) -> False 17.47/6.51 new_esEs4(xy400, xy300, ty_Double) -> new_esEs15(xy400, xy300) 17.47/6.51 new_esEs25(xy4001, xy3001, ty_Double) -> new_esEs15(xy4001, xy3001) 17.47/6.51 new_esEs19(xy4000, xy3000, ty_Char) -> new_esEs13(xy4000, xy3000) 17.47/6.51 new_esEs4(xy400, xy300, app(ty_[], gc)) -> new_esEs5(xy400, xy300, gc) 17.47/6.51 new_esEs19(xy4000, xy3000, app(ty_[], ea)) -> new_esEs5(xy4000, xy3000, ea) 17.47/6.51 new_esEs24(xy4000, xy3000, app(app(ty_Either, bbc), bbd)) -> new_esEs11(xy4000, xy3000, bbc, bbd) 17.47/6.51 new_esEs7(Just(xy4000), Just(xy3000), ty_Float) -> new_esEs17(xy4000, xy3000) 17.47/6.51 new_esEs7(Just(xy4000), Just(xy3000), app(app(app(ty_@3, bh), ca), cb)) -> new_esEs12(xy4000, xy3000, bh, ca, cb) 17.47/6.51 new_primEqNat0(Succ(xy40000), Succ(xy30000)) -> new_primEqNat0(xy40000, xy30000) 17.47/6.51 new_esEs7(Just(xy4000), Just(xy3000), app(app(ty_Either, bf), bg)) -> new_esEs11(xy4000, xy3000, bf, bg) 17.47/6.51 new_esEs25(xy4001, xy3001, ty_@0) -> new_esEs9(xy4001, xy3001) 17.47/6.51 new_esEs9(@0, @0) -> True 17.47/6.51 new_esEs16(EQ, GT) -> False 17.47/6.51 new_esEs16(GT, EQ) -> False 17.47/6.51 new_deleteBy1(xy40, [], ba) -> [] 17.47/6.51 new_esEs4(xy400, xy300, ty_@0) -> new_esEs9(xy400, xy300) 17.47/6.51 new_esEs19(xy4000, xy3000, ty_@0) -> new_esEs9(xy4000, xy3000) 17.47/6.51 new_esEs24(xy4000, xy3000, app(app(app(ty_@3, bbe), bbf), bbg)) -> new_esEs12(xy4000, xy3000, bbe, bbf, bbg) 17.47/6.51 new_esEs24(xy4000, xy3000, ty_Float) -> new_esEs17(xy4000, xy3000) 17.47/6.51 new_esEs4(xy400, xy300, ty_Integer) -> new_esEs8(xy400, xy300) 17.47/6.51 new_esEs24(xy4000, xy3000, ty_Ordering) -> new_esEs16(xy4000, xy3000) 17.47/6.51 new_deleteBy00(xy12, xy13, xy14, xy15, xy16, False, bb) -> :(:(xy13, xy14), new_deleteBy1(:(xy15, xy16), xy12, bb)) 17.47/6.51 new_primMulNat0(Zero, Zero) -> Zero 17.47/6.51 new_esEs11(Left(xy4000), Right(xy3000), ff, fg) -> False 17.47/6.51 new_esEs11(Right(xy4000), Left(xy3000), ff, fg) -> False 17.47/6.51 new_esEs25(xy4001, xy3001, ty_Bool) -> new_esEs6(xy4001, xy3001) 17.47/6.51 new_esEs23(xy4001, xy3001, ty_Integer) -> new_esEs8(xy4001, xy3001) 17.47/6.51 new_esEs11(Right(xy4000), Right(xy3000), ff, ty_Char) -> new_esEs13(xy4000, xy3000) 17.47/6.51 new_esEs11(Left(xy4000), Left(xy3000), app(app(app(ty_@3, ha), hb), hc), fg) -> new_esEs12(xy4000, xy3000, ha, hb, hc) 17.47/6.51 new_deleteBy1([], :(:(xy300, xy301), xy31), ba) -> :(:(xy300, xy301), new_deleteBy1([], xy31, ba)) 17.47/6.51 new_primEqNat0(Succ(xy40000), Zero) -> False 17.47/6.51 new_primEqNat0(Zero, Succ(xy30000)) -> False 17.47/6.51 new_esEs4(xy400, xy300, app(app(ty_@2, cf), cg)) -> new_esEs10(xy400, xy300, cf, cg) 17.47/6.51 new_esEs24(xy4000, xy3000, app(ty_[], bca)) -> new_esEs5(xy4000, xy3000, bca) 17.47/6.51 new_esEs24(xy4000, xy3000, ty_Bool) -> new_esEs6(xy4000, xy3000) 17.47/6.51 new_esEs11(Left(xy4000), Left(xy3000), app(app(ty_@2, ge), gf), fg) -> new_esEs10(xy4000, xy3000, ge, gf) 17.47/6.51 new_esEs24(xy4000, xy3000, app(app(ty_@2, bba), bbb)) -> new_esEs10(xy4000, xy3000, bba, bbb) 17.47/6.51 new_esEs19(xy4000, xy3000, ty_Int) -> new_esEs14(xy4000, xy3000) 17.47/6.51 new_esEs25(xy4001, xy3001, ty_Int) -> new_esEs14(xy4001, xy3001) 17.47/6.51 new_esEs19(xy4000, xy3000, ty_Bool) -> new_esEs6(xy4000, xy3000) 17.47/6.51 new_esEs26(xy4002, xy3002, ty_Float) -> new_esEs17(xy4002, xy3002) 17.47/6.51 new_esEs7(Just(xy4000), Just(xy3000), ty_Bool) -> new_esEs6(xy4000, xy3000) 17.47/6.51 new_esEs7(Just(xy4000), Just(xy3000), app(app(ty_@2, bd), be)) -> new_esEs10(xy4000, xy3000, bd, be) 17.47/6.51 new_esEs16(LT, EQ) -> False 17.47/6.51 new_esEs16(EQ, LT) -> False 17.47/6.51 new_esEs11(Left(xy4000), Left(xy3000), app(ty_[], he), fg) -> new_esEs5(xy4000, xy3000, he) 17.47/6.51 new_esEs11(Left(xy4000), Left(xy3000), ty_Char, fg) -> new_esEs13(xy4000, xy3000) 17.47/6.51 new_esEs4(xy400, xy300, app(ty_Ratio, gd)) -> new_esEs18(xy400, xy300, gd) 17.47/6.51 new_esEs11(Right(xy4000), Right(xy3000), ff, app(app(ty_@2, hg), hh)) -> new_esEs10(xy4000, xy3000, hg, hh) 17.47/6.51 new_deleteBy1([], :([], xy31), ba) -> xy31 17.47/6.51 new_esEs7(Just(xy4000), Just(xy3000), ty_Char) -> new_esEs13(xy4000, xy3000) 17.47/6.51 new_primEqInt(Neg(Succ(xy40000)), Neg(Zero)) -> False 17.47/6.51 new_primEqInt(Neg(Zero), Neg(Succ(xy30000))) -> False 17.47/6.51 new_esEs14(xy400, xy300) -> new_primEqInt(xy400, xy300) 17.47/6.51 new_primEqInt(Pos(Succ(xy40000)), Pos(Succ(xy30000))) -> new_primEqNat0(xy40000, xy30000) 17.47/6.51 new_esEs21(xy4010, xy3010, app(ty_Maybe, bc)) -> new_esEs7(xy4010, xy3010, bc) 17.47/6.51 new_esEs19(xy4000, xy3000, ty_Float) -> new_esEs17(xy4000, xy3000) 17.47/6.51 new_esEs26(xy4002, xy3002, ty_Int) -> new_esEs14(xy4002, xy3002) 17.47/6.51 new_esEs7(Just(xy4000), Just(xy3000), app(ty_[], cd)) -> new_esEs5(xy4000, xy3000, cd) 17.47/6.51 new_esEs21(xy4010, xy3010, ty_Double) -> new_esEs15(xy4010, xy3010) 17.47/6.51 new_esEs25(xy4001, xy3001, ty_Float) -> new_esEs17(xy4001, xy3001) 17.47/6.51 new_sr(Pos(xy40010), Neg(xy30000)) -> Neg(new_primMulNat0(xy40010, xy30000)) 17.47/6.51 new_sr(Neg(xy40010), Pos(xy30000)) -> Neg(new_primMulNat0(xy40010, xy30000)) 17.47/6.51 new_esEs11(Left(xy4000), Left(xy3000), app(app(ty_Either, gg), gh), fg) -> new_esEs11(xy4000, xy3000, gg, gh) 17.47/6.51 new_esEs22(xy4000, xy3000, ty_Integer) -> new_esEs8(xy4000, xy3000) 17.47/6.51 new_primEqInt(Pos(Succ(xy40000)), Neg(xy3000)) -> False 17.47/6.51 new_primEqInt(Neg(Succ(xy40000)), Pos(xy3000)) -> False 17.47/6.51 new_esEs7(Just(xy4000), Just(xy3000), ty_@0) -> new_esEs9(xy4000, xy3000) 17.47/6.51 new_esEs20(xy4001, xy3001, ty_Float) -> new_esEs17(xy4001, xy3001) 17.47/6.51 new_esEs16(EQ, EQ) -> True 17.47/6.51 new_esEs4(xy400, xy300, app(app(ty_Either, ff), fg)) -> new_esEs11(xy400, xy300, ff, fg) 17.47/6.51 new_esEs19(xy4000, xy3000, ty_Ordering) -> new_esEs16(xy4000, xy3000) 17.47/6.51 new_esEs11(Right(xy4000), Right(xy3000), ff, ty_@0) -> new_esEs9(xy4000, xy3000) 17.47/6.51 new_esEs25(xy4001, xy3001, ty_Ordering) -> new_esEs16(xy4001, xy3001) 17.47/6.51 new_esEs26(xy4002, xy3002, app(ty_Maybe, bed)) -> new_esEs7(xy4002, xy3002, bed) 17.47/6.51 new_esEs20(xy4001, xy3001, app(app(ty_@2, ec), ed)) -> new_esEs10(xy4001, xy3001, ec, ed) 17.47/6.51 new_esEs5(:(xy4010, xy4011), :(xy3010, xy3011), ba) -> new_asAs(new_esEs21(xy4010, xy3010, ba), new_esEs5(xy4011, xy3011, ba)) 17.47/6.51 new_esEs21(xy4010, xy3010, ty_Bool) -> new_esEs6(xy4010, xy3010) 17.47/6.51 new_esEs18(:%(xy4000, xy4001), :%(xy3000, xy3001), gd) -> new_asAs(new_esEs22(xy4000, xy3000, gd), new_esEs23(xy4001, xy3001, gd)) 17.47/6.51 new_esEs20(xy4001, xy3001, ty_Int) -> new_esEs14(xy4001, xy3001) 17.47/6.51 new_esEs7(Nothing, Just(xy3000), bc) -> False 17.47/6.51 new_esEs7(Just(xy4000), Nothing, bc) -> False 17.47/6.51 new_esEs13(Char(xy4000), Char(xy3000)) -> new_primEqNat0(xy4000, xy3000) 17.47/6.51 new_esEs11(Right(xy4000), Right(xy3000), ff, ty_Double) -> new_esEs15(xy4000, xy3000) 17.47/6.51 new_esEs11(Right(xy4000), Right(xy3000), ff, ty_Integer) -> new_esEs8(xy4000, xy3000) 17.47/6.51 new_esEs4(xy400, xy300, ty_Float) -> new_esEs17(xy400, xy300) 17.47/6.51 new_sr(Neg(xy40010), Neg(xy30000)) -> Pos(new_primMulNat0(xy40010, xy30000)) 17.47/6.51 new_esEs24(xy4000, xy3000, ty_@0) -> new_esEs9(xy4000, xy3000) 17.47/6.51 new_esEs4(xy400, xy300, app(app(app(ty_@3, fh), ga), gb)) -> new_esEs12(xy400, xy300, fh, ga, gb) 17.47/6.51 new_esEs11(Right(xy4000), Right(xy3000), ff, app(ty_Ratio, bah)) -> new_esEs18(xy4000, xy3000, bah) 17.47/6.51 new_esEs11(Left(xy4000), Left(xy3000), ty_Double, fg) -> new_esEs15(xy4000, xy3000) 17.47/6.51 new_esEs17(Float(xy4000, xy4001), Float(xy3000, xy3001)) -> new_esEs14(new_sr(xy4000, xy3001), new_sr(xy4001, xy3000)) 17.47/6.51 new_esEs26(xy4002, xy3002, ty_@0) -> new_esEs9(xy4002, xy3002) 17.47/6.51 new_esEs11(Left(xy4000), Left(xy3000), ty_@0, fg) -> new_esEs9(xy4000, xy3000) 17.47/6.51 new_esEs11(Left(xy4000), Left(xy3000), app(ty_Ratio, hf), fg) -> new_esEs18(xy4000, xy3000, hf) 17.47/6.51 new_primEqInt(Pos(Zero), Neg(Succ(xy30000))) -> False 17.47/6.51 new_primEqInt(Neg(Zero), Pos(Succ(xy30000))) -> False 17.47/6.51 new_esEs20(xy4001, xy3001, app(ty_Maybe, fb)) -> new_esEs7(xy4001, xy3001, fb) 17.47/6.51 new_esEs16(LT, LT) -> True 17.47/6.51 new_esEs24(xy4000, xy3000, ty_Char) -> new_esEs13(xy4000, xy3000) 17.47/6.51 new_esEs7(Nothing, Nothing, bc) -> True 17.47/6.51 new_primPlusNat0(Succ(xy3200), Succ(xy3000000)) -> Succ(Succ(new_primPlusNat0(xy3200, xy3000000))) 17.47/6.51 new_esEs20(xy4001, xy3001, app(ty_Ratio, fd)) -> new_esEs18(xy4001, xy3001, fd) 17.47/6.51 new_esEs26(xy4002, xy3002, ty_Double) -> new_esEs15(xy4002, xy3002) 17.47/6.51 new_esEs6(True, True) -> True 17.47/6.51 new_esEs22(xy4000, xy3000, ty_Int) -> new_esEs14(xy4000, xy3000) 17.47/6.51 new_esEs7(Just(xy4000), Just(xy3000), ty_Integer) -> new_esEs8(xy4000, xy3000) 17.47/6.51 new_esEs26(xy4002, xy3002, ty_Integer) -> new_esEs8(xy4002, xy3002) 17.47/6.51 new_esEs24(xy4000, xy3000, app(ty_Ratio, bcb)) -> new_esEs18(xy4000, xy3000, bcb) 17.47/6.51 new_esEs7(Just(xy4000), Just(xy3000), ty_Ordering) -> new_esEs16(xy4000, xy3000) 17.47/6.51 new_esEs11(Left(xy4000), Left(xy3000), ty_Integer, fg) -> new_esEs8(xy4000, xy3000) 17.47/6.51 new_primEqInt(Neg(Succ(xy40000)), Neg(Succ(xy30000))) -> new_primEqNat0(xy40000, xy30000) 17.47/6.51 new_esEs11(Right(xy4000), Right(xy3000), ff, ty_Bool) -> new_esEs6(xy4000, xy3000) 17.47/6.51 new_esEs21(xy4010, xy3010, ty_Integer) -> new_esEs8(xy4010, xy3010) 17.47/6.51 new_esEs21(xy4010, xy3010, ty_Float) -> new_esEs17(xy4010, xy3010) 17.47/6.51 new_esEs11(Right(xy4000), Right(xy3000), ff, app(ty_Maybe, baf)) -> new_esEs7(xy4000, xy3000, baf) 17.47/6.51 new_esEs25(xy4001, xy3001, app(ty_Maybe, bdb)) -> new_esEs7(xy4001, xy3001, bdb) 17.47/6.51 new_esEs6(False, False) -> True 17.47/6.51 new_esEs19(xy4000, xy3000, app(ty_Maybe, dh)) -> new_esEs7(xy4000, xy3000, dh) 17.47/6.51 new_esEs21(xy4010, xy3010, app(app(app(ty_@3, fh), ga), gb)) -> new_esEs12(xy4010, xy3010, fh, ga, gb) 17.47/6.51 new_esEs26(xy4002, xy3002, ty_Ordering) -> new_esEs16(xy4002, xy3002) 17.47/6.51 new_primMulNat0(Succ(xy400100), Zero) -> Zero 17.47/6.51 new_primMulNat0(Zero, Succ(xy300000)) -> Zero 17.47/6.51 new_sr(Pos(xy40010), Pos(xy30000)) -> Pos(new_primMulNat0(xy40010, xy30000)) 17.47/6.51 new_esEs21(xy4010, xy3010, ty_Ordering) -> new_esEs16(xy4010, xy3010) 17.47/6.51 new_esEs21(xy4010, xy3010, app(app(ty_Either, ff), fg)) -> new_esEs11(xy4010, xy3010, ff, fg) 17.47/6.51 new_primPlusNat1(Succ(xy320), xy300000) -> Succ(Succ(new_primPlusNat0(xy320, xy300000))) 17.47/6.51 new_deleteBy00(xy12, xy13, xy14, xy15, xy16, True, bb) -> xy12 17.47/6.51 new_esEs11(Right(xy4000), Right(xy3000), ff, ty_Ordering) -> new_esEs16(xy4000, xy3000) 17.47/6.51 new_esEs11(Right(xy4000), Right(xy3000), ff, ty_Float) -> new_esEs17(xy4000, xy3000) 17.47/6.51 new_esEs20(xy4001, xy3001, ty_@0) -> new_esEs9(xy4001, xy3001) 17.47/6.51 new_esEs19(xy4000, xy3000, app(ty_Ratio, eb)) -> new_esEs18(xy4000, xy3000, eb) 17.47/6.51 new_primPlusNat0(Succ(xy3200), Zero) -> Succ(xy3200) 17.47/6.51 new_primPlusNat0(Zero, Succ(xy3000000)) -> Succ(xy3000000) 17.47/6.51 new_esEs11(Left(xy4000), Left(xy3000), ty_Bool, fg) -> new_esEs6(xy4000, xy3000) 17.47/6.51 new_esEs7(Just(xy4000), Just(xy3000), app(ty_Ratio, ce)) -> new_esEs18(xy4000, xy3000, ce) 17.47/6.51 new_primEqInt(Neg(Zero), Neg(Zero)) -> True 17.47/6.51 new_esEs26(xy4002, xy3002, app(ty_Ratio, bef)) -> new_esEs18(xy4002, xy3002, bef) 17.47/6.51 new_esEs11(Right(xy4000), Right(xy3000), ff, app(app(app(ty_@3, bac), bad), bae)) -> new_esEs12(xy4000, xy3000, bac, bad, bae) 17.47/6.51 new_esEs25(xy4001, xy3001, app(app(ty_@2, bcc), bcd)) -> new_esEs10(xy4001, xy3001, bcc, bcd) 17.47/6.51 new_esEs26(xy4002, xy3002, ty_Bool) -> new_esEs6(xy4002, xy3002) 17.47/6.51 new_primPlusNat1(Zero, xy300000) -> Succ(xy300000) 17.47/6.51 new_esEs16(LT, GT) -> False 17.47/6.51 new_esEs16(GT, LT) -> False 17.47/6.51 new_esEs24(xy4000, xy3000, ty_Int) -> new_esEs14(xy4000, xy3000) 17.47/6.51 new_esEs4(xy400, xy300, app(ty_Maybe, bc)) -> new_esEs7(xy400, xy300, bc) 17.47/6.51 new_esEs26(xy4002, xy3002, app(app(app(ty_@3, bea), beb), bec)) -> new_esEs12(xy4002, xy3002, bea, beb, bec) 17.47/6.51 new_esEs25(xy4001, xy3001, ty_Integer) -> new_esEs8(xy4001, xy3001) 17.47/6.51 new_esEs7(Just(xy4000), Just(xy3000), ty_Int) -> new_esEs14(xy4000, xy3000) 17.47/6.51 new_esEs19(xy4000, xy3000, app(app(ty_@2, da), db)) -> new_esEs10(xy4000, xy3000, da, db) 17.47/6.51 new_esEs11(Left(xy4000), Left(xy3000), ty_Ordering, fg) -> new_esEs16(xy4000, xy3000) 17.47/6.51 new_esEs4(xy400, xy300, ty_Int) -> new_esEs14(xy400, xy300) 17.47/6.51 new_esEs24(xy4000, xy3000, ty_Integer) -> new_esEs8(xy4000, xy3000) 17.47/6.51 new_primEqInt(Pos(Zero), Neg(Zero)) -> True 17.47/6.51 new_primEqInt(Neg(Zero), Pos(Zero)) -> True 17.47/6.51 new_deleteBy1(:(xy400, xy401), :(:(xy300, xy301), xy31), ba) -> new_deleteBy00(xy31, xy300, xy301, xy400, xy401, new_asAs(new_esEs4(xy400, xy300, ba), new_esEs5(xy401, xy301, ba)), ba) 17.47/6.51 new_esEs24(xy4000, xy3000, app(ty_Maybe, bbh)) -> new_esEs7(xy4000, xy3000, bbh) 17.47/6.51 new_esEs20(xy4001, xy3001, ty_Char) -> new_esEs13(xy4001, xy3001) 17.47/6.51 new_deleteBy1(:(xy400, xy401), :([], xy31), ba) -> :([], new_deleteBy1(:(xy400, xy401), xy31, ba)) 17.47/6.51 new_esEs25(xy4001, xy3001, app(app(app(ty_@3, bcg), bch), bda)) -> new_esEs12(xy4001, xy3001, bcg, bch, bda) 17.47/6.51 new_esEs5(:(xy4010, xy4011), [], ba) -> False 17.47/6.51 new_esEs5([], :(xy3010, xy3011), ba) -> False 17.47/6.51 new_primEqNat0(Zero, Zero) -> True 17.47/6.51 new_esEs19(xy4000, xy3000, ty_Integer) -> new_esEs8(xy4000, xy3000) 17.47/6.51 new_esEs11(Left(xy4000), Left(xy3000), app(ty_Maybe, hd), fg) -> new_esEs7(xy4000, xy3000, hd) 17.47/6.51 new_esEs4(xy400, xy300, ty_Bool) -> new_esEs6(xy400, xy300) 17.47/6.51 new_esEs21(xy4010, xy3010, app(ty_[], gc)) -> new_esEs5(xy4010, xy3010, gc) 17.47/6.51 new_esEs11(Left(xy4000), Left(xy3000), ty_Float, fg) -> new_esEs17(xy4000, xy3000) 17.47/6.51 new_asAs(False, xy31) -> False 17.47/6.51 new_esEs20(xy4001, xy3001, app(app(ty_Either, ee), ef)) -> new_esEs11(xy4001, xy3001, ee, ef) 17.47/6.51 new_esEs21(xy4010, xy3010, ty_Char) -> new_esEs13(xy4010, xy3010) 17.47/6.51 new_esEs19(xy4000, xy3000, app(app(app(ty_@3, de), df), dg)) -> new_esEs12(xy4000, xy3000, de, df, dg) 17.47/6.51 new_esEs25(xy4001, xy3001, app(ty_Ratio, bdd)) -> new_esEs18(xy4001, xy3001, bdd) 17.47/6.51 new_esEs11(Left(xy4000), Left(xy3000), ty_Int, fg) -> new_esEs14(xy4000, xy3000) 17.47/6.51 new_esEs26(xy4002, xy3002, app(app(ty_@2, bde), bdf)) -> new_esEs10(xy4002, xy3002, bde, bdf) 17.47/6.51 new_esEs7(Just(xy4000), Just(xy3000), ty_Double) -> new_esEs15(xy4000, xy3000) 17.47/6.51 new_esEs26(xy4002, xy3002, app(ty_[], bee)) -> new_esEs5(xy4002, xy3002, bee) 17.47/6.51 new_esEs24(xy4000, xy3000, ty_Double) -> new_esEs15(xy4000, xy3000) 17.47/6.51 new_esEs19(xy4000, xy3000, app(app(ty_Either, dc), dd)) -> new_esEs11(xy4000, xy3000, dc, dd) 17.47/6.51 new_esEs10(@2(xy4000, xy4001), @2(xy3000, xy3001), cf, cg) -> new_asAs(new_esEs19(xy4000, xy3000, cf), new_esEs20(xy4001, xy3001, cg)) 17.47/6.51 new_esEs26(xy4002, xy3002, ty_Char) -> new_esEs13(xy4002, xy3002) 17.47/6.51 new_esEs25(xy4001, xy3001, app(app(ty_Either, bce), bcf)) -> new_esEs11(xy4001, xy3001, bce, bcf) 17.47/6.51 new_esEs23(xy4001, xy3001, ty_Int) -> new_esEs14(xy4001, xy3001) 17.47/6.51 new_esEs20(xy4001, xy3001, app(app(app(ty_@3, eg), eh), fa)) -> new_esEs12(xy4001, xy3001, eg, eh, fa) 17.47/6.51 new_esEs4(xy400, xy300, ty_Ordering) -> new_esEs16(xy400, xy300) 17.47/6.51 new_esEs21(xy4010, xy3010, ty_@0) -> new_esEs9(xy4010, xy3010) 17.47/6.51 17.47/6.51 The set Q consists of the following terms: 17.47/6.51 17.47/6.51 new_primEqInt(Pos(Succ(x0)), Neg(x1)) 17.47/6.51 new_primEqInt(Neg(Succ(x0)), Pos(x1)) 17.47/6.51 new_esEs26(x0, x1, ty_@0) 17.47/6.51 new_esEs14(x0, x1) 17.47/6.51 new_deleteBy1([], :([], x0), x1) 17.47/6.51 new_esEs11(Left(x0), Left(x1), ty_Int, x2) 17.47/6.51 new_esEs24(x0, x1, ty_Int) 17.47/6.51 new_esEs5(:(x0, x1), :(x2, x3), x4) 17.47/6.51 new_esEs7(Just(x0), Just(x1), ty_Float) 17.47/6.51 new_primMulNat0(Zero, Zero) 17.47/6.51 new_esEs4(x0, x1, ty_Bool) 17.47/6.51 new_esEs20(x0, x1, ty_Bool) 17.47/6.51 new_esEs20(x0, x1, ty_@0) 17.47/6.51 new_esEs22(x0, x1, ty_Int) 17.47/6.51 new_esEs4(x0, x1, ty_Integer) 17.47/6.51 new_esEs26(x0, x1, ty_Bool) 17.47/6.51 new_esEs11(Left(x0), Left(x1), ty_Ordering, x2) 17.47/6.51 new_esEs10(@2(x0, x1), @2(x2, x3), x4, x5) 17.47/6.51 new_esEs7(Just(x0), Just(x1), ty_Double) 17.47/6.51 new_primMulNat0(Succ(x0), Zero) 17.47/6.51 new_esEs11(Left(x0), Left(x1), ty_Double, x2) 17.47/6.51 new_primEqInt(Pos(Zero), Pos(Zero)) 17.47/6.51 new_esEs25(x0, x1, ty_@0) 17.47/6.51 new_esEs11(Right(x0), Right(x1), x2, app(ty_Ratio, x3)) 17.47/6.51 new_esEs11(Left(x0), Left(x1), ty_Char, x2) 17.47/6.51 new_esEs20(x0, x1, app(app(app(ty_@3, x2), x3), x4)) 17.47/6.51 new_primPlusNat0(Succ(x0), Zero) 17.47/6.51 new_esEs11(Left(x0), Left(x1), app(app(ty_Either, x2), x3), x4) 17.47/6.51 new_esEs26(x0, x1, app(app(app(ty_@3, x2), x3), x4)) 17.47/6.51 new_esEs21(x0, x1, app(ty_Ratio, x2)) 17.47/6.51 new_esEs25(x0, x1, ty_Int) 17.47/6.51 new_esEs8(Integer(x0), Integer(x1)) 17.47/6.51 new_esEs4(x0, x1, ty_@0) 17.47/6.51 new_esEs19(x0, x1, app(ty_Maybe, x2)) 17.47/6.51 new_esEs4(x0, x1, app(ty_Maybe, x2)) 17.47/6.51 new_esEs24(x0, x1, ty_Double) 17.47/6.51 new_esEs16(EQ, EQ) 17.47/6.51 new_esEs24(x0, x1, ty_Char) 17.47/6.51 new_esEs19(x0, x1, ty_Double) 17.47/6.51 new_deleteBy1([], :(:(x0, x1), x2), x3) 17.47/6.51 new_primPlusNat1(Zero, x0) 17.47/6.51 new_primEqInt(Neg(Zero), Neg(Zero)) 17.47/6.51 new_esEs20(x0, x1, app(ty_Ratio, x2)) 17.47/6.51 new_esEs7(Just(x0), Just(x1), app(ty_Ratio, x2)) 17.47/6.51 new_esEs21(x0, x1, ty_Bool) 17.47/6.51 new_primPlusNat0(Zero, Zero) 17.47/6.51 new_esEs25(x0, x1, ty_Char) 17.47/6.51 new_sr(Pos(x0), Neg(x1)) 17.47/6.51 new_sr(Neg(x0), Pos(x1)) 17.47/6.51 new_esEs11(Left(x0), Left(x1), app(ty_Maybe, x2), x3) 17.47/6.51 new_esEs7(Just(x0), Just(x1), ty_Char) 17.47/6.51 new_esEs6(False, True) 17.47/6.51 new_esEs6(True, False) 17.47/6.51 new_deleteBy1(:(x0, x1), :(:(x2, x3), x4), x5) 17.47/6.51 new_esEs19(x0, x1, ty_Float) 17.47/6.51 new_esEs20(x0, x1, ty_Integer) 17.47/6.51 new_esEs26(x0, x1, app(ty_[], x2)) 17.47/6.51 new_esEs19(x0, x1, ty_@0) 17.47/6.51 new_asAs(True, x0) 17.47/6.51 new_asAs(False, x0) 17.47/6.51 new_primPlusNat0(Zero, Succ(x0)) 17.47/6.51 new_esEs4(x0, x1, app(ty_Ratio, x2)) 17.47/6.51 new_esEs4(x0, x1, app(ty_[], x2)) 17.47/6.51 new_esEs25(x0, x1, ty_Bool) 17.47/6.51 new_esEs25(x0, x1, ty_Ordering) 17.47/6.51 new_esEs11(Left(x0), Left(x1), ty_@0, x2) 17.47/6.51 new_esEs21(x0, x1, ty_Char) 17.47/6.51 new_esEs21(x0, x1, app(ty_Maybe, x2)) 17.47/6.51 new_esEs6(False, False) 17.47/6.51 new_esEs18(:%(x0, x1), :%(x2, x3), x4) 17.47/6.51 new_esEs24(x0, x1, app(ty_Ratio, x2)) 17.47/6.51 new_esEs24(x0, x1, ty_@0) 17.47/6.51 new_esEs19(x0, x1, app(app(ty_Either, x2), x3)) 17.47/6.51 new_esEs25(x0, x1, app(app(ty_@2, x2), x3)) 17.47/6.51 new_esEs11(Left(x0), Left(x1), ty_Float, x2) 17.47/6.51 new_primEqInt(Pos(Zero), Neg(Zero)) 17.47/6.51 new_primEqInt(Neg(Zero), Pos(Zero)) 17.47/6.51 new_esEs5([], :(x0, x1), x2) 17.47/6.51 new_esEs21(x0, x1, app(app(ty_@2, x2), x3)) 17.47/6.51 new_esEs25(x0, x1, ty_Integer) 17.47/6.51 new_esEs11(Right(x0), Right(x1), x2, ty_Integer) 17.47/6.51 new_esEs21(x0, x1, ty_@0) 17.47/6.51 new_esEs4(x0, x1, app(app(ty_@2, x2), x3)) 17.47/6.51 new_esEs7(Just(x0), Just(x1), ty_Int) 17.47/6.51 new_sr(Neg(x0), Neg(x1)) 17.47/6.51 new_esEs25(x0, x1, app(app(ty_Either, x2), x3)) 17.47/6.51 new_esEs24(x0, x1, ty_Float) 17.47/6.51 new_primMulNat0(Succ(x0), Succ(x1)) 17.47/6.51 new_esEs11(Left(x0), Left(x1), app(ty_[], x2), x3) 17.47/6.51 new_esEs11(Right(x0), Right(x1), x2, app(app(app(ty_@3, x3), x4), x5)) 17.47/6.51 new_primEqInt(Neg(Succ(x0)), Neg(Zero)) 17.47/6.51 new_esEs21(x0, x1, ty_Float) 17.47/6.51 new_primEqInt(Neg(Succ(x0)), Neg(Succ(x1))) 17.47/6.51 new_esEs24(x0, x1, app(ty_Maybe, x2)) 17.47/6.51 new_esEs19(x0, x1, app(ty_[], x2)) 17.47/6.51 new_primEqInt(Pos(Zero), Neg(Succ(x0))) 17.47/6.51 new_primEqInt(Neg(Zero), Pos(Succ(x0))) 17.47/6.51 new_primEqNat0(Zero, Succ(x0)) 17.47/6.51 new_deleteBy00(x0, x1, x2, x3, x4, False, x5) 17.47/6.51 new_esEs21(x0, x1, app(ty_[], x2)) 17.47/6.51 new_esEs7(Just(x0), Just(x1), ty_@0) 17.47/6.51 new_esEs11(Right(x0), Right(x1), x2, ty_Ordering) 17.47/6.51 new_esEs24(x0, x1, ty_Integer) 17.47/6.51 new_esEs9(@0, @0) 17.47/6.51 new_esEs26(x0, x1, ty_Double) 17.47/6.51 new_deleteBy00(x0, x1, x2, x3, x4, True, x5) 17.47/6.51 new_esEs7(Just(x0), Just(x1), ty_Bool) 17.47/6.51 new_esEs21(x0, x1, ty_Ordering) 17.47/6.51 new_esEs7(Nothing, Nothing, x0) 17.47/6.51 new_esEs16(LT, GT) 17.47/6.51 new_esEs16(GT, LT) 17.47/6.51 new_esEs4(x0, x1, ty_Ordering) 17.47/6.51 new_esEs12(@3(x0, x1, x2), @3(x3, x4, x5), x6, x7, x8) 17.47/6.51 new_esEs20(x0, x1, app(ty_[], x2)) 17.47/6.51 new_primMulNat0(Zero, Succ(x0)) 17.47/6.51 new_esEs11(Left(x0), Left(x1), app(app(app(ty_@3, x2), x3), x4), x5) 17.47/6.51 new_esEs19(x0, x1, app(app(app(ty_@3, x2), x3), x4)) 17.47/6.51 new_esEs26(x0, x1, ty_Ordering) 17.47/6.51 new_esEs21(x0, x1, app(app(ty_Either, x2), x3)) 17.47/6.51 new_esEs7(Just(x0), Just(x1), app(app(ty_Either, x2), x3)) 17.47/6.51 new_esEs21(x0, x1, ty_Int) 17.47/6.51 new_esEs11(Right(x0), Right(x1), x2, ty_Char) 17.47/6.51 new_esEs21(x0, x1, ty_Double) 17.47/6.51 new_esEs7(Just(x0), Nothing, x1) 17.47/6.51 new_esEs19(x0, x1, app(ty_Ratio, x2)) 17.47/6.51 new_esEs26(x0, x1, ty_Float) 17.47/6.51 new_esEs26(x0, x1, app(app(ty_@2, x2), x3)) 17.47/6.51 new_esEs20(x0, x1, ty_Ordering) 17.47/6.51 new_esEs4(x0, x1, ty_Float) 17.47/6.51 new_esEs15(Double(x0, x1), Double(x2, x3)) 17.47/6.51 new_esEs11(Left(x0), Left(x1), app(ty_Ratio, x2), x3) 17.47/6.51 new_esEs26(x0, x1, app(ty_Ratio, x2)) 17.47/6.51 new_primEqNat0(Succ(x0), Succ(x1)) 17.47/6.51 new_esEs11(Left(x0), Left(x1), app(app(ty_@2, x2), x3), x4) 17.47/6.51 new_primEqInt(Pos(Zero), Pos(Succ(x0))) 17.47/6.51 new_esEs20(x0, x1, app(ty_Maybe, x2)) 17.47/6.51 new_esEs4(x0, x1, ty_Char) 17.47/6.51 new_esEs24(x0, x1, ty_Bool) 17.47/6.51 new_esEs4(x0, x1, ty_Double) 17.47/6.51 new_esEs24(x0, x1, app(ty_[], x2)) 17.47/6.51 new_esEs24(x0, x1, app(app(ty_Either, x2), x3)) 17.47/6.51 new_esEs19(x0, x1, app(app(ty_@2, x2), x3)) 17.47/6.51 new_esEs26(x0, x1, ty_Int) 17.47/6.51 new_esEs19(x0, x1, ty_Int) 17.47/6.51 new_esEs7(Nothing, Just(x0), x1) 17.47/6.51 new_esEs11(Left(x0), Left(x1), ty_Bool, x2) 17.47/6.51 new_esEs20(x0, x1, ty_Float) 17.47/6.51 new_esEs24(x0, x1, app(app(app(ty_@3, x2), x3), x4)) 17.47/6.51 new_esEs19(x0, x1, ty_Char) 17.47/6.51 new_esEs23(x0, x1, ty_Integer) 17.47/6.51 new_esEs4(x0, x1, ty_Int) 17.47/6.51 new_deleteBy1(:(x0, x1), :([], x2), x3) 17.47/6.51 new_primEqInt(Neg(Zero), Neg(Succ(x0))) 17.47/6.51 new_esEs17(Float(x0, x1), Float(x2, x3)) 17.47/6.51 new_esEs11(Right(x0), Right(x1), x2, app(app(ty_@2, x3), x4)) 17.47/6.51 new_esEs25(x0, x1, ty_Double) 17.47/6.51 new_esEs7(Just(x0), Just(x1), app(app(ty_@2, x2), x3)) 17.47/6.51 new_esEs25(x0, x1, app(ty_Ratio, x2)) 17.47/6.51 new_esEs22(x0, x1, ty_Integer) 17.47/6.51 new_esEs26(x0, x1, app(ty_Maybe, x2)) 17.47/6.51 new_esEs11(Right(x0), Right(x1), x2, ty_Bool) 17.47/6.51 new_primEqNat0(Zero, Zero) 17.47/6.51 new_esEs26(x0, x1, ty_Char) 17.47/6.51 new_esEs19(x0, x1, ty_Bool) 17.47/6.51 new_esEs6(True, True) 17.47/6.51 new_esEs5([], [], x0) 17.47/6.51 new_esEs11(Right(x0), Right(x1), x2, ty_Float) 17.47/6.51 new_esEs19(x0, x1, ty_Ordering) 17.47/6.51 new_primPlusNat1(Succ(x0), x1) 17.47/6.51 new_esEs25(x0, x1, app(ty_[], x2)) 17.47/6.51 new_esEs11(Right(x0), Right(x1), x2, app(ty_[], x3)) 17.47/6.51 new_esEs16(LT, LT) 17.47/6.51 new_esEs7(Just(x0), Just(x1), app(app(app(ty_@3, x2), x3), x4)) 17.47/6.51 new_esEs7(Just(x0), Just(x1), app(ty_Maybe, x2)) 17.47/6.51 new_esEs7(Just(x0), Just(x1), ty_Integer) 17.47/6.51 new_esEs26(x0, x1, app(app(ty_Either, x2), x3)) 17.47/6.51 new_esEs25(x0, x1, ty_Float) 17.47/6.51 new_esEs20(x0, x1, ty_Int) 17.47/6.51 new_esEs11(Left(x0), Right(x1), x2, x3) 17.47/6.51 new_esEs11(Right(x0), Left(x1), x2, x3) 17.47/6.51 new_esEs13(Char(x0), Char(x1)) 17.47/6.51 new_esEs21(x0, x1, app(app(app(ty_@3, x2), x3), x4)) 17.47/6.51 new_esEs26(x0, x1, ty_Integer) 17.47/6.51 new_esEs16(EQ, GT) 17.47/6.51 new_esEs16(GT, EQ) 17.47/6.51 new_esEs11(Right(x0), Right(x1), x2, ty_Double) 17.47/6.51 new_primEqInt(Pos(Succ(x0)), Pos(Zero)) 17.47/6.51 new_esEs23(x0, x1, ty_Int) 17.47/6.51 new_esEs24(x0, x1, ty_Ordering) 17.47/6.51 new_esEs25(x0, x1, app(ty_Maybe, x2)) 17.47/6.51 new_esEs24(x0, x1, app(app(ty_@2, x2), x3)) 17.47/6.51 new_deleteBy1(x0, [], x1) 17.47/6.51 new_sr(Pos(x0), Pos(x1)) 17.47/6.51 new_esEs25(x0, x1, app(app(app(ty_@3, x2), x3), x4)) 17.47/6.51 new_esEs4(x0, x1, app(app(app(ty_@3, x2), x3), x4)) 17.47/6.51 new_esEs19(x0, x1, ty_Integer) 17.47/6.51 new_esEs11(Right(x0), Right(x1), x2, app(ty_Maybe, x3)) 17.47/6.51 new_esEs7(Just(x0), Just(x1), app(ty_[], x2)) 17.47/6.51 new_esEs21(x0, x1, ty_Integer) 17.47/6.51 new_esEs11(Right(x0), Right(x1), x2, ty_Int) 17.47/6.51 new_esEs5(:(x0, x1), [], x2) 17.47/6.51 new_primEqInt(Pos(Succ(x0)), Pos(Succ(x1))) 17.47/6.51 new_esEs20(x0, x1, app(app(ty_Either, x2), x3)) 17.47/6.51 new_esEs7(Just(x0), Just(x1), ty_Ordering) 17.47/6.51 new_esEs11(Right(x0), Right(x1), x2, ty_@0) 17.47/6.51 new_esEs11(Left(x0), Left(x1), ty_Integer, x2) 17.47/6.51 new_esEs16(LT, EQ) 17.47/6.51 new_esEs16(EQ, LT) 17.47/6.51 new_esEs11(Right(x0), Right(x1), x2, app(app(ty_Either, x3), x4)) 17.47/6.51 new_primPlusNat0(Succ(x0), Succ(x1)) 17.47/6.51 new_esEs4(x0, x1, app(app(ty_Either, x2), x3)) 17.47/6.51 new_esEs20(x0, x1, ty_Char) 17.47/6.51 new_primEqNat0(Succ(x0), Zero) 17.47/6.51 new_esEs20(x0, x1, app(app(ty_@2, x2), x3)) 17.47/6.51 new_esEs16(GT, GT) 17.47/6.51 new_esEs20(x0, x1, ty_Double) 17.47/6.51 17.47/6.51 We have to consider all minimal (P,Q,R)-chains. 17.47/6.51 ---------------------------------------- 17.47/6.51 17.47/6.51 (25) QDPSizeChangeProof (EQUIVALENT) 17.47/6.51 By using the subterm criterion [SUBTERM_CRITERION] together with the size-change analysis [AAECC05] we have proven that there are no infinite chains for this DP problem. 17.47/6.51 17.47/6.51 From the DPs we obtained the following set of size-change graphs: 17.47/6.51 *new_foldl(xy3, :(xy40, xy41), ba) -> new_foldl(new_deleteBy1(xy40, xy3, ba), xy41, ba) 17.47/6.51 The graph contains the following edges 2 > 2, 3 >= 3 17.47/6.51 17.47/6.51 17.47/6.51 ---------------------------------------- 17.47/6.51 17.47/6.51 (26) 17.47/6.51 YES 17.47/6.51 17.47/6.51 ---------------------------------------- 17.47/6.51 17.47/6.51 (27) 17.47/6.51 Obligation: 17.47/6.51 Q DP problem: 17.47/6.51 The TRS P consists of the following rules: 17.47/6.51 17.47/6.51 new_primPlusNat(Succ(xy3200), Succ(xy3000000)) -> new_primPlusNat(xy3200, xy3000000) 17.47/6.51 17.47/6.51 R is empty. 17.47/6.51 Q is empty. 17.47/6.51 We have to consider all minimal (P,Q,R)-chains. 17.47/6.51 ---------------------------------------- 17.47/6.51 17.47/6.51 (28) QDPSizeChangeProof (EQUIVALENT) 17.47/6.51 By using the subterm criterion [SUBTERM_CRITERION] together with the size-change analysis [AAECC05] we have proven that there are no infinite chains for this DP problem. 17.47/6.51 17.47/6.51 From the DPs we obtained the following set of size-change graphs: 17.47/6.51 *new_primPlusNat(Succ(xy3200), Succ(xy3000000)) -> new_primPlusNat(xy3200, xy3000000) 17.47/6.51 The graph contains the following edges 1 > 1, 2 > 2 17.47/6.51 17.47/6.51 17.47/6.51 ---------------------------------------- 17.47/6.51 17.47/6.51 (29) 17.47/6.51 YES 17.47/6.51 17.47/6.51 ---------------------------------------- 17.47/6.51 17.47/6.51 (30) 17.47/6.51 Obligation: 17.47/6.51 Q DP problem: 17.47/6.51 The TRS P consists of the following rules: 17.47/6.51 17.47/6.51 new_primEqNat(Succ(xy40000), Succ(xy30000)) -> new_primEqNat(xy40000, xy30000) 17.47/6.51 17.47/6.51 R is empty. 17.47/6.51 Q is empty. 17.47/6.51 We have to consider all minimal (P,Q,R)-chains. 17.47/6.51 ---------------------------------------- 17.47/6.51 17.47/6.51 (31) QDPSizeChangeProof (EQUIVALENT) 17.47/6.51 By using the subterm criterion [SUBTERM_CRITERION] together with the size-change analysis [AAECC05] we have proven that there are no infinite chains for this DP problem. 17.47/6.51 17.47/6.51 From the DPs we obtained the following set of size-change graphs: 17.47/6.51 *new_primEqNat(Succ(xy40000), Succ(xy30000)) -> new_primEqNat(xy40000, xy30000) 17.47/6.51 The graph contains the following edges 1 > 1, 2 > 2 17.47/6.51 17.47/6.51 17.47/6.51 ---------------------------------------- 17.47/6.51 17.47/6.51 (32) 17.47/6.51 YES 17.60/6.56 EOF