13.98/5.68 YES 17.23/6.71 proof of /export/starexec/sandbox/benchmark/theBenchmark.hs 17.23/6.71 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 17.23/6.71 17.23/6.71 17.23/6.71 H-Termination with start terms of the given HASKELL could be proven: 17.23/6.71 17.23/6.71 (0) HASKELL 17.23/6.71 (1) IFR [EQUIVALENT, 0 ms] 17.23/6.71 (2) HASKELL 17.23/6.71 (3) BR [EQUIVALENT, 0 ms] 17.23/6.71 (4) HASKELL 17.23/6.71 (5) COR [EQUIVALENT, 10 ms] 17.23/6.71 (6) HASKELL 17.23/6.71 (7) Narrow [SOUND, 0 ms] 17.23/6.71 (8) AND 17.23/6.71 (9) QDP 17.23/6.71 (10) QDPSizeChangeProof [EQUIVALENT, 0 ms] 17.23/6.71 (11) YES 17.23/6.71 (12) QDP 17.23/6.71 (13) DependencyGraphProof [EQUIVALENT, 0 ms] 17.23/6.71 (14) AND 17.23/6.71 (15) QDP 17.23/6.71 (16) QDPSizeChangeProof [EQUIVALENT, 0 ms] 17.23/6.71 (17) YES 17.23/6.71 (18) QDP 17.23/6.71 (19) QDPSizeChangeProof [EQUIVALENT, 0 ms] 17.23/6.71 (20) YES 17.23/6.71 (21) QDP 17.23/6.71 (22) QDPSizeChangeProof [EQUIVALENT, 0 ms] 17.23/6.71 (23) YES 17.23/6.71 (24) QDP 17.23/6.71 (25) QDPSizeChangeProof [EQUIVALENT, 0 ms] 17.23/6.71 (26) YES 17.23/6.71 (27) QDP 17.23/6.71 (28) QDPSizeChangeProof [EQUIVALENT, 0 ms] 17.23/6.71 (29) YES 17.23/6.71 17.23/6.71 17.23/6.71 ---------------------------------------- 17.23/6.71 17.23/6.71 (0) 17.23/6.71 Obligation: 17.23/6.71 mainModule Main 17.23/6.71 module Maybe where { 17.23/6.71 import qualified List; 17.23/6.71 import qualified Main; 17.23/6.71 import qualified Prelude; 17.23/6.71 } 17.23/6.71 module List where { 17.23/6.71 import qualified Main; 17.23/6.71 import qualified Maybe; 17.23/6.71 import qualified Prelude; 17.23/6.71 delete :: Eq a => a -> [a] -> [a]; 17.23/6.71 delete = deleteBy (==); 17.23/6.71 17.23/6.71 deleteBy :: (a -> a -> Bool) -> a -> [a] -> [a]; 17.23/6.71 deleteBy _ _ [] = []; 17.23/6.71 deleteBy eq x (y : ys) = if x `eq` y then ys else y : deleteBy eq x ys; 17.23/6.71 17.23/6.71 } 17.23/6.71 module Main where { 17.23/6.71 import qualified List; 17.23/6.71 import qualified Maybe; 17.23/6.71 import qualified Prelude; 17.23/6.71 } 17.23/6.71 17.23/6.71 ---------------------------------------- 17.23/6.71 17.23/6.71 (1) IFR (EQUIVALENT) 17.23/6.71 If Reductions: 17.23/6.71 The following If expression 17.23/6.71 "if eq x y then ys else y : deleteBy eq x ys" 17.23/6.71 is transformed to 17.23/6.71 "deleteBy0 ys y eq x True = ys; 17.23/6.71 deleteBy0 ys y eq x False = y : deleteBy eq x ys; 17.23/6.71 " 17.23/6.71 17.23/6.71 ---------------------------------------- 17.23/6.71 17.23/6.71 (2) 17.23/6.71 Obligation: 17.23/6.71 mainModule Main 17.23/6.71 module Maybe where { 17.23/6.71 import qualified List; 17.23/6.71 import qualified Main; 17.23/6.71 import qualified Prelude; 17.23/6.71 } 17.23/6.71 module List where { 17.23/6.71 import qualified Main; 17.23/6.71 import qualified Maybe; 17.23/6.71 import qualified Prelude; 17.23/6.71 delete :: Eq a => a -> [a] -> [a]; 17.23/6.71 delete = deleteBy (==); 17.23/6.71 17.23/6.71 deleteBy :: (a -> a -> Bool) -> a -> [a] -> [a]; 17.23/6.71 deleteBy _ _ [] = []; 17.23/6.71 deleteBy eq x (y : ys) = deleteBy0 ys y eq x (x `eq` y); 17.23/6.71 17.23/6.71 deleteBy0 ys y eq x True = ys; 17.23/6.71 deleteBy0 ys y eq x False = y : deleteBy eq x ys; 17.23/6.71 17.23/6.71 } 17.23/6.71 module Main where { 17.23/6.71 import qualified List; 17.23/6.71 import qualified Maybe; 17.23/6.71 import qualified Prelude; 17.23/6.71 } 17.23/6.71 17.23/6.71 ---------------------------------------- 17.23/6.71 17.23/6.71 (3) BR (EQUIVALENT) 17.23/6.71 Replaced joker patterns by fresh variables and removed binding patterns. 17.23/6.71 ---------------------------------------- 17.23/6.71 17.23/6.71 (4) 17.23/6.71 Obligation: 17.23/6.71 mainModule Main 17.23/6.71 module Maybe where { 17.23/6.71 import qualified List; 17.23/6.71 import qualified Main; 17.23/6.71 import qualified Prelude; 17.23/6.71 } 17.23/6.71 module List where { 17.23/6.71 import qualified Main; 17.23/6.71 import qualified Maybe; 17.23/6.71 import qualified Prelude; 17.23/6.71 delete :: Eq a => a -> [a] -> [a]; 17.23/6.71 delete = deleteBy (==); 17.23/6.71 17.23/6.71 deleteBy :: (a -> a -> Bool) -> a -> [a] -> [a]; 17.23/6.71 deleteBy xw xx [] = []; 17.23/6.71 deleteBy eq x (y : ys) = deleteBy0 ys y eq x (x `eq` y); 17.23/6.71 17.23/6.71 deleteBy0 ys y eq x True = ys; 17.23/6.71 deleteBy0 ys y eq x False = y : deleteBy eq x ys; 17.23/6.71 17.23/6.71 } 17.23/6.71 module Main where { 17.23/6.71 import qualified List; 17.23/6.71 import qualified Maybe; 17.23/6.71 import qualified Prelude; 17.23/6.71 } 17.23/6.71 17.23/6.71 ---------------------------------------- 17.23/6.71 17.23/6.71 (5) COR (EQUIVALENT) 17.23/6.71 Cond Reductions: 17.23/6.71 The following Function with conditions 17.23/6.71 "undefined |Falseundefined; 17.23/6.71 " 17.23/6.71 is transformed to 17.23/6.71 "undefined = undefined1; 17.23/6.71 " 17.23/6.71 "undefined0 True = undefined; 17.23/6.71 " 17.23/6.71 "undefined1 = undefined0 False; 17.23/6.71 " 17.23/6.71 17.23/6.71 ---------------------------------------- 17.23/6.71 17.23/6.71 (6) 17.23/6.71 Obligation: 17.23/6.71 mainModule Main 17.23/6.71 module Maybe where { 17.23/6.71 import qualified List; 17.23/6.71 import qualified Main; 17.23/6.71 import qualified Prelude; 17.23/6.71 } 17.23/6.71 module List where { 17.23/6.71 import qualified Main; 17.23/6.71 import qualified Maybe; 17.23/6.71 import qualified Prelude; 17.23/6.71 delete :: Eq a => a -> [a] -> [a]; 17.23/6.71 delete = deleteBy (==); 17.23/6.71 17.23/6.71 deleteBy :: (a -> a -> Bool) -> a -> [a] -> [a]; 17.23/6.71 deleteBy xw xx [] = []; 17.23/6.71 deleteBy eq x (y : ys) = deleteBy0 ys y eq x (x `eq` y); 17.23/6.71 17.23/6.71 deleteBy0 ys y eq x True = ys; 17.23/6.71 deleteBy0 ys y eq x False = y : deleteBy eq x ys; 17.23/6.71 17.23/6.71 } 17.23/6.71 module Main where { 17.23/6.71 import qualified List; 17.23/6.71 import qualified Maybe; 17.23/6.71 import qualified Prelude; 17.23/6.71 } 17.23/6.71 17.23/6.71 ---------------------------------------- 17.23/6.71 17.23/6.71 (7) Narrow (SOUND) 17.23/6.71 Haskell To QDPs 17.23/6.71 17.23/6.71 digraph dp_graph { 17.23/6.71 node [outthreshold=100, inthreshold=100];1[label="List.delete",fontsize=16,color="grey",shape="box"];1 -> 3[label="",style="dashed", color="grey", weight=3]; 17.23/6.71 3[label="List.delete xy3",fontsize=16,color="grey",shape="box"];3 -> 4[label="",style="dashed", color="grey", weight=3]; 17.23/6.71 4[label="List.delete xy3 xy4",fontsize=16,color="black",shape="triangle"];4 -> 5[label="",style="solid", color="black", weight=3]; 17.23/6.71 5[label="List.deleteBy (==) xy3 xy4",fontsize=16,color="burlywood",shape="triangle"];998[label="xy4/xy40 : xy41",fontsize=10,color="white",style="solid",shape="box"];5 -> 998[label="",style="solid", color="burlywood", weight=9]; 17.23/6.71 998 -> 6[label="",style="solid", color="burlywood", weight=3]; 17.23/6.71 999[label="xy4/[]",fontsize=10,color="white",style="solid",shape="box"];5 -> 999[label="",style="solid", color="burlywood", weight=9]; 17.23/6.71 999 -> 7[label="",style="solid", color="burlywood", weight=3]; 17.23/6.71 6[label="List.deleteBy (==) xy3 (xy40 : xy41)",fontsize=16,color="black",shape="box"];6 -> 8[label="",style="solid", color="black", weight=3]; 17.23/6.71 7[label="List.deleteBy (==) xy3 []",fontsize=16,color="black",shape="box"];7 -> 9[label="",style="solid", color="black", weight=3]; 17.23/6.71 8[label="List.deleteBy0 xy41 xy40 (==) xy3 ((==) xy3 xy40)",fontsize=16,color="burlywood",shape="box"];1000[label="xy3/xy30 : xy31",fontsize=10,color="white",style="solid",shape="box"];8 -> 1000[label="",style="solid", color="burlywood", weight=9]; 17.23/6.71 1000 -> 10[label="",style="solid", color="burlywood", weight=3]; 17.23/6.71 1001[label="xy3/[]",fontsize=10,color="white",style="solid",shape="box"];8 -> 1001[label="",style="solid", color="burlywood", weight=9]; 17.23/6.71 1001 -> 11[label="",style="solid", color="burlywood", weight=3]; 17.23/6.71 9[label="[]",fontsize=16,color="green",shape="box"];10[label="List.deleteBy0 xy41 xy40 (==) (xy30 : xy31) ((==) xy30 : xy31 xy40)",fontsize=16,color="burlywood",shape="box"];1002[label="xy40/xy400 : xy401",fontsize=10,color="white",style="solid",shape="box"];10 -> 1002[label="",style="solid", color="burlywood", weight=9]; 17.23/6.71 1002 -> 12[label="",style="solid", color="burlywood", weight=3]; 17.23/6.71 1003[label="xy40/[]",fontsize=10,color="white",style="solid",shape="box"];10 -> 1003[label="",style="solid", color="burlywood", weight=9]; 17.23/6.71 1003 -> 13[label="",style="solid", color="burlywood", weight=3]; 17.23/6.71 11[label="List.deleteBy0 xy41 xy40 (==) [] ((==) [] xy40)",fontsize=16,color="burlywood",shape="box"];1004[label="xy40/xy400 : xy401",fontsize=10,color="white",style="solid",shape="box"];11 -> 1004[label="",style="solid", color="burlywood", weight=9]; 17.23/6.71 1004 -> 14[label="",style="solid", color="burlywood", weight=3]; 17.23/6.71 1005[label="xy40/[]",fontsize=10,color="white",style="solid",shape="box"];11 -> 1005[label="",style="solid", color="burlywood", weight=9]; 17.23/6.71 1005 -> 15[label="",style="solid", color="burlywood", weight=3]; 17.23/6.71 12[label="List.deleteBy0 xy41 (xy400 : xy401) (==) (xy30 : xy31) ((==) xy30 : xy31 xy400 : xy401)",fontsize=16,color="black",shape="box"];12 -> 16[label="",style="solid", color="black", weight=3]; 17.23/6.71 13[label="List.deleteBy0 xy41 [] (==) (xy30 : xy31) ((==) xy30 : xy31 [])",fontsize=16,color="black",shape="box"];13 -> 17[label="",style="solid", color="black", weight=3]; 17.23/6.71 14[label="List.deleteBy0 xy41 (xy400 : xy401) (==) [] ((==) [] xy400 : xy401)",fontsize=16,color="black",shape="box"];14 -> 18[label="",style="solid", color="black", weight=3]; 17.23/6.71 15[label="List.deleteBy0 xy41 [] (==) [] ((==) [] [])",fontsize=16,color="black",shape="box"];15 -> 19[label="",style="solid", color="black", weight=3]; 17.23/6.71 16 -> 110[label="",style="dashed", color="red", weight=0]; 17.23/6.71 16[label="List.deleteBy0 xy41 (xy400 : xy401) (==) (xy30 : xy31) (xy30 == xy400 && xy31 == xy401)",fontsize=16,color="magenta"];16 -> 111[label="",style="dashed", color="magenta", weight=3]; 17.23/6.71 16 -> 112[label="",style="dashed", color="magenta", weight=3]; 17.23/6.71 16 -> 113[label="",style="dashed", color="magenta", weight=3]; 17.23/6.71 16 -> 114[label="",style="dashed", color="magenta", weight=3]; 17.23/6.71 16 -> 115[label="",style="dashed", color="magenta", weight=3]; 17.23/6.71 16 -> 116[label="",style="dashed", color="magenta", weight=3]; 17.23/6.71 17[label="List.deleteBy0 xy41 [] (==) (xy30 : xy31) False",fontsize=16,color="black",shape="box"];17 -> 27[label="",style="solid", color="black", weight=3]; 17.23/6.71 18[label="List.deleteBy0 xy41 (xy400 : xy401) (==) [] False",fontsize=16,color="black",shape="box"];18 -> 28[label="",style="solid", color="black", weight=3]; 17.23/6.71 19[label="List.deleteBy0 xy41 [] (==) [] True",fontsize=16,color="black",shape="box"];19 -> 29[label="",style="solid", color="black", weight=3]; 17.23/6.71 111[label="xy400",fontsize=16,color="green",shape="box"];112[label="xy401",fontsize=16,color="green",shape="box"];113[label="xy31",fontsize=16,color="green",shape="box"];114 -> 363[label="",style="dashed", color="red", weight=0]; 17.23/6.71 114[label="xy30 == xy400 && xy31 == xy401",fontsize=16,color="magenta"];114 -> 364[label="",style="dashed", color="magenta", weight=3]; 17.23/6.71 114 -> 365[label="",style="dashed", color="magenta", weight=3]; 17.23/6.71 115[label="xy30",fontsize=16,color="green",shape="box"];116[label="xy41",fontsize=16,color="green",shape="box"];110[label="List.deleteBy0 xy12 (xy13 : xy14) (==) (xy15 : xy16) xy18",fontsize=16,color="burlywood",shape="triangle"];1006[label="xy18/False",fontsize=10,color="white",style="solid",shape="box"];110 -> 1006[label="",style="solid", color="burlywood", weight=9]; 17.23/6.71 1006 -> 124[label="",style="solid", color="burlywood", weight=3]; 17.23/6.71 1007[label="xy18/True",fontsize=10,color="white",style="solid",shape="box"];110 -> 1007[label="",style="solid", color="burlywood", weight=9]; 17.23/6.71 1007 -> 125[label="",style="solid", color="burlywood", weight=3]; 17.23/6.71 27[label="[] : List.deleteBy (==) (xy30 : xy31) xy41",fontsize=16,color="green",shape="box"];27 -> 46[label="",style="dashed", color="green", weight=3]; 17.23/6.71 28[label="(xy400 : xy401) : List.deleteBy (==) [] xy41",fontsize=16,color="green",shape="box"];28 -> 47[label="",style="dashed", color="green", weight=3]; 17.23/6.71 29[label="xy41",fontsize=16,color="green",shape="box"];364[label="xy30 == xy400",fontsize=16,color="blue",shape="box"];1008[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];364 -> 1008[label="",style="solid", color="blue", weight=9]; 17.23/6.71 1008 -> 368[label="",style="solid", color="blue", weight=3]; 17.23/6.71 1009[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];364 -> 1009[label="",style="solid", color="blue", weight=9]; 17.23/6.71 1009 -> 369[label="",style="solid", color="blue", weight=3]; 17.23/6.71 1010[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];364 -> 1010[label="",style="solid", color="blue", weight=9]; 17.23/6.71 1010 -> 370[label="",style="solid", color="blue", weight=3]; 17.23/6.71 1011[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];364 -> 1011[label="",style="solid", color="blue", weight=9]; 17.23/6.71 1011 -> 371[label="",style="solid", color="blue", weight=3]; 17.23/6.71 1012[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];364 -> 1012[label="",style="solid", color="blue", weight=9]; 17.23/6.71 1012 -> 372[label="",style="solid", color="blue", weight=3]; 17.23/6.71 1013[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];364 -> 1013[label="",style="solid", color="blue", weight=9]; 17.23/6.71 1013 -> 373[label="",style="solid", color="blue", weight=3]; 17.23/6.71 1014[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];364 -> 1014[label="",style="solid", color="blue", weight=9]; 17.23/6.71 1014 -> 374[label="",style="solid", color="blue", weight=3]; 17.23/6.71 1015[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];364 -> 1015[label="",style="solid", color="blue", weight=9]; 17.23/6.71 1015 -> 375[label="",style="solid", color="blue", weight=3]; 17.23/6.71 1016[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];364 -> 1016[label="",style="solid", color="blue", weight=9]; 17.23/6.71 1016 -> 376[label="",style="solid", color="blue", weight=3]; 17.23/6.71 1017[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];364 -> 1017[label="",style="solid", color="blue", weight=9]; 17.23/6.71 1017 -> 377[label="",style="solid", color="blue", weight=3]; 17.23/6.71 1018[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];364 -> 1018[label="",style="solid", color="blue", weight=9]; 17.23/6.71 1018 -> 378[label="",style="solid", color="blue", weight=3]; 17.23/6.71 1019[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];364 -> 1019[label="",style="solid", color="blue", weight=9]; 17.23/6.71 1019 -> 379[label="",style="solid", color="blue", weight=3]; 17.23/6.71 1020[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];364 -> 1020[label="",style="solid", color="blue", weight=9]; 17.23/6.71 1020 -> 380[label="",style="solid", color="blue", weight=3]; 17.23/6.71 1021[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];364 -> 1021[label="",style="solid", color="blue", weight=9]; 17.23/6.71 1021 -> 381[label="",style="solid", color="blue", weight=3]; 17.23/6.71 365[label="xy31 == xy401",fontsize=16,color="burlywood",shape="triangle"];1022[label="xy31/xy310 : xy311",fontsize=10,color="white",style="solid",shape="box"];365 -> 1022[label="",style="solid", color="burlywood", weight=9]; 17.23/6.71 1022 -> 382[label="",style="solid", color="burlywood", weight=3]; 17.23/6.71 1023[label="xy31/[]",fontsize=10,color="white",style="solid",shape="box"];365 -> 1023[label="",style="solid", color="burlywood", weight=9]; 17.23/6.71 1023 -> 383[label="",style="solid", color="burlywood", weight=3]; 17.23/6.71 363[label="xy30 && xy31",fontsize=16,color="burlywood",shape="triangle"];1024[label="xy30/False",fontsize=10,color="white",style="solid",shape="box"];363 -> 1024[label="",style="solid", color="burlywood", weight=9]; 17.23/6.71 1024 -> 384[label="",style="solid", color="burlywood", weight=3]; 17.23/6.71 1025[label="xy30/True",fontsize=10,color="white",style="solid",shape="box"];363 -> 1025[label="",style="solid", color="burlywood", weight=9]; 17.23/6.71 1025 -> 385[label="",style="solid", color="burlywood", weight=3]; 17.23/6.71 124[label="List.deleteBy0 xy12 (xy13 : xy14) (==) (xy15 : xy16) False",fontsize=16,color="black",shape="box"];124 -> 142[label="",style="solid", color="black", weight=3]; 17.23/6.71 125[label="List.deleteBy0 xy12 (xy13 : xy14) (==) (xy15 : xy16) True",fontsize=16,color="black",shape="box"];125 -> 143[label="",style="solid", color="black", weight=3]; 17.23/6.71 46 -> 5[label="",style="dashed", color="red", weight=0]; 17.23/6.71 46[label="List.deleteBy (==) (xy30 : xy31) xy41",fontsize=16,color="magenta"];46 -> 70[label="",style="dashed", color="magenta", weight=3]; 17.23/6.71 46 -> 71[label="",style="dashed", color="magenta", weight=3]; 17.23/6.71 47 -> 5[label="",style="dashed", color="red", weight=0]; 17.23/6.71 47[label="List.deleteBy (==) [] xy41",fontsize=16,color="magenta"];47 -> 72[label="",style="dashed", color="magenta", weight=3]; 17.23/6.71 47 -> 73[label="",style="dashed", color="magenta", weight=3]; 17.23/6.71 368[label="xy30 == xy400",fontsize=16,color="black",shape="triangle"];368 -> 386[label="",style="solid", color="black", weight=3]; 17.23/6.71 369[label="xy30 == xy400",fontsize=16,color="black",shape="triangle"];369 -> 387[label="",style="solid", color="black", weight=3]; 17.23/6.71 370[label="xy30 == xy400",fontsize=16,color="burlywood",shape="triangle"];1026[label="xy30/(xy300,xy301)",fontsize=10,color="white",style="solid",shape="box"];370 -> 1026[label="",style="solid", color="burlywood", weight=9]; 17.23/6.71 1026 -> 388[label="",style="solid", color="burlywood", weight=3]; 17.23/6.71 371[label="xy30 == xy400",fontsize=16,color="burlywood",shape="triangle"];1027[label="xy30/Nothing",fontsize=10,color="white",style="solid",shape="box"];371 -> 1027[label="",style="solid", color="burlywood", weight=9]; 17.23/6.71 1027 -> 389[label="",style="solid", color="burlywood", weight=3]; 17.23/6.71 1028[label="xy30/Just xy300",fontsize=10,color="white",style="solid",shape="box"];371 -> 1028[label="",style="solid", color="burlywood", weight=9]; 17.23/6.71 1028 -> 390[label="",style="solid", color="burlywood", weight=3]; 17.23/6.71 372[label="xy30 == xy400",fontsize=16,color="black",shape="triangle"];372 -> 391[label="",style="solid", color="black", weight=3]; 17.23/6.71 373[label="xy30 == xy400",fontsize=16,color="black",shape="triangle"];373 -> 392[label="",style="solid", color="black", weight=3]; 17.23/6.71 374[label="xy30 == xy400",fontsize=16,color="burlywood",shape="triangle"];1029[label="xy30/False",fontsize=10,color="white",style="solid",shape="box"];374 -> 1029[label="",style="solid", color="burlywood", weight=9]; 17.23/6.71 1029 -> 393[label="",style="solid", color="burlywood", weight=3]; 17.23/6.71 1030[label="xy30/True",fontsize=10,color="white",style="solid",shape="box"];374 -> 1030[label="",style="solid", color="burlywood", weight=9]; 17.23/6.71 1030 -> 394[label="",style="solid", color="burlywood", weight=3]; 17.23/6.71 375[label="xy30 == xy400",fontsize=16,color="burlywood",shape="triangle"];1031[label="xy30/Left xy300",fontsize=10,color="white",style="solid",shape="box"];375 -> 1031[label="",style="solid", color="burlywood", weight=9]; 17.23/6.71 1031 -> 395[label="",style="solid", color="burlywood", weight=3]; 17.23/6.71 1032[label="xy30/Right xy300",fontsize=10,color="white",style="solid",shape="box"];375 -> 1032[label="",style="solid", color="burlywood", weight=9]; 17.23/6.71 1032 -> 396[label="",style="solid", color="burlywood", weight=3]; 17.23/6.71 376 -> 365[label="",style="dashed", color="red", weight=0]; 17.23/6.71 376[label="xy30 == xy400",fontsize=16,color="magenta"];376 -> 397[label="",style="dashed", color="magenta", weight=3]; 17.23/6.71 376 -> 398[label="",style="dashed", color="magenta", weight=3]; 17.23/6.71 377[label="xy30 == xy400",fontsize=16,color="burlywood",shape="triangle"];1033[label="xy30/Integer xy300",fontsize=10,color="white",style="solid",shape="box"];377 -> 1033[label="",style="solid", color="burlywood", weight=9]; 17.23/6.71 1033 -> 399[label="",style="solid", color="burlywood", weight=3]; 17.23/6.71 378[label="xy30 == xy400",fontsize=16,color="burlywood",shape="triangle"];1034[label="xy30/xy300 :% xy301",fontsize=10,color="white",style="solid",shape="box"];378 -> 1034[label="",style="solid", color="burlywood", weight=9]; 17.23/6.71 1034 -> 400[label="",style="solid", color="burlywood", weight=3]; 17.23/6.71 379[label="xy30 == xy400",fontsize=16,color="burlywood",shape="triangle"];1035[label="xy30/(xy300,xy301,xy302)",fontsize=10,color="white",style="solid",shape="box"];379 -> 1035[label="",style="solid", color="burlywood", weight=9]; 17.23/6.71 1035 -> 401[label="",style="solid", color="burlywood", weight=3]; 17.23/6.71 380[label="xy30 == xy400",fontsize=16,color="burlywood",shape="triangle"];1036[label="xy30/LT",fontsize=10,color="white",style="solid",shape="box"];380 -> 1036[label="",style="solid", color="burlywood", weight=9]; 17.23/6.71 1036 -> 402[label="",style="solid", color="burlywood", weight=3]; 17.23/6.71 1037[label="xy30/EQ",fontsize=10,color="white",style="solid",shape="box"];380 -> 1037[label="",style="solid", color="burlywood", weight=9]; 17.23/6.71 1037 -> 403[label="",style="solid", color="burlywood", weight=3]; 17.23/6.71 1038[label="xy30/GT",fontsize=10,color="white",style="solid",shape="box"];380 -> 1038[label="",style="solid", color="burlywood", weight=9]; 17.23/6.71 1038 -> 404[label="",style="solid", color="burlywood", weight=3]; 17.23/6.71 381[label="xy30 == xy400",fontsize=16,color="burlywood",shape="triangle"];1039[label="xy30/()",fontsize=10,color="white",style="solid",shape="box"];381 -> 1039[label="",style="solid", color="burlywood", weight=9]; 17.23/6.71 1039 -> 405[label="",style="solid", color="burlywood", weight=3]; 17.23/6.71 382[label="xy310 : xy311 == xy401",fontsize=16,color="burlywood",shape="box"];1040[label="xy401/xy4010 : xy4011",fontsize=10,color="white",style="solid",shape="box"];382 -> 1040[label="",style="solid", color="burlywood", weight=9]; 17.23/6.71 1040 -> 406[label="",style="solid", color="burlywood", weight=3]; 17.23/6.71 1041[label="xy401/[]",fontsize=10,color="white",style="solid",shape="box"];382 -> 1041[label="",style="solid", color="burlywood", weight=9]; 17.23/6.71 1041 -> 407[label="",style="solid", color="burlywood", weight=3]; 17.23/6.71 383[label="[] == xy401",fontsize=16,color="burlywood",shape="box"];1042[label="xy401/xy4010 : xy4011",fontsize=10,color="white",style="solid",shape="box"];383 -> 1042[label="",style="solid", color="burlywood", weight=9]; 17.23/6.71 1042 -> 408[label="",style="solid", color="burlywood", weight=3]; 17.23/6.71 1043[label="xy401/[]",fontsize=10,color="white",style="solid",shape="box"];383 -> 1043[label="",style="solid", color="burlywood", weight=9]; 17.23/6.71 1043 -> 409[label="",style="solid", color="burlywood", weight=3]; 17.23/6.71 384[label="False && xy31",fontsize=16,color="black",shape="box"];384 -> 410[label="",style="solid", color="black", weight=3]; 17.23/6.71 385[label="True && xy31",fontsize=16,color="black",shape="box"];385 -> 411[label="",style="solid", color="black", weight=3]; 17.23/6.71 142[label="(xy13 : xy14) : List.deleteBy (==) (xy15 : xy16) xy12",fontsize=16,color="green",shape="box"];142 -> 166[label="",style="dashed", color="green", weight=3]; 17.23/6.71 143[label="xy12",fontsize=16,color="green",shape="box"];70[label="xy41",fontsize=16,color="green",shape="box"];71[label="xy30 : xy31",fontsize=16,color="green",shape="box"];72[label="xy41",fontsize=16,color="green",shape="box"];73[label="[]",fontsize=16,color="green",shape="box"];386[label="primEqDouble xy30 xy400",fontsize=16,color="burlywood",shape="box"];1044[label="xy30/Double xy300 xy301",fontsize=10,color="white",style="solid",shape="box"];386 -> 1044[label="",style="solid", color="burlywood", weight=9]; 17.23/6.71 1044 -> 412[label="",style="solid", color="burlywood", weight=3]; 17.23/6.71 387[label="primEqChar xy30 xy400",fontsize=16,color="burlywood",shape="box"];1045[label="xy30/Char xy300",fontsize=10,color="white",style="solid",shape="box"];387 -> 1045[label="",style="solid", color="burlywood", weight=9]; 17.23/6.71 1045 -> 413[label="",style="solid", color="burlywood", weight=3]; 17.23/6.71 388[label="(xy300,xy301) == xy400",fontsize=16,color="burlywood",shape="box"];1046[label="xy400/(xy4000,xy4001)",fontsize=10,color="white",style="solid",shape="box"];388 -> 1046[label="",style="solid", color="burlywood", weight=9]; 17.23/6.71 1046 -> 414[label="",style="solid", color="burlywood", weight=3]; 17.23/6.71 389[label="Nothing == xy400",fontsize=16,color="burlywood",shape="box"];1047[label="xy400/Nothing",fontsize=10,color="white",style="solid",shape="box"];389 -> 1047[label="",style="solid", color="burlywood", weight=9]; 17.23/6.71 1047 -> 415[label="",style="solid", color="burlywood", weight=3]; 17.23/6.71 1048[label="xy400/Just xy4000",fontsize=10,color="white",style="solid",shape="box"];389 -> 1048[label="",style="solid", color="burlywood", weight=9]; 17.23/6.71 1048 -> 416[label="",style="solid", color="burlywood", weight=3]; 17.23/6.71 390[label="Just xy300 == xy400",fontsize=16,color="burlywood",shape="box"];1049[label="xy400/Nothing",fontsize=10,color="white",style="solid",shape="box"];390 -> 1049[label="",style="solid", color="burlywood", weight=9]; 17.23/6.71 1049 -> 417[label="",style="solid", color="burlywood", weight=3]; 17.23/6.71 1050[label="xy400/Just xy4000",fontsize=10,color="white",style="solid",shape="box"];390 -> 1050[label="",style="solid", color="burlywood", weight=9]; 17.23/6.71 1050 -> 418[label="",style="solid", color="burlywood", weight=3]; 17.23/6.71 391[label="primEqInt xy30 xy400",fontsize=16,color="burlywood",shape="triangle"];1051[label="xy30/Pos xy300",fontsize=10,color="white",style="solid",shape="box"];391 -> 1051[label="",style="solid", color="burlywood", weight=9]; 17.23/6.71 1051 -> 419[label="",style="solid", color="burlywood", weight=3]; 17.23/6.71 1052[label="xy30/Neg xy300",fontsize=10,color="white",style="solid",shape="box"];391 -> 1052[label="",style="solid", color="burlywood", weight=9]; 17.23/6.71 1052 -> 420[label="",style="solid", color="burlywood", weight=3]; 17.23/6.71 392[label="primEqFloat xy30 xy400",fontsize=16,color="burlywood",shape="box"];1053[label="xy30/Float xy300 xy301",fontsize=10,color="white",style="solid",shape="box"];392 -> 1053[label="",style="solid", color="burlywood", weight=9]; 17.23/6.71 1053 -> 421[label="",style="solid", color="burlywood", weight=3]; 17.23/6.71 393[label="False == xy400",fontsize=16,color="burlywood",shape="box"];1054[label="xy400/False",fontsize=10,color="white",style="solid",shape="box"];393 -> 1054[label="",style="solid", color="burlywood", weight=9]; 17.23/6.71 1054 -> 422[label="",style="solid", color="burlywood", weight=3]; 17.23/6.71 1055[label="xy400/True",fontsize=10,color="white",style="solid",shape="box"];393 -> 1055[label="",style="solid", color="burlywood", weight=9]; 17.23/6.71 1055 -> 423[label="",style="solid", color="burlywood", weight=3]; 17.23/6.71 394[label="True == xy400",fontsize=16,color="burlywood",shape="box"];1056[label="xy400/False",fontsize=10,color="white",style="solid",shape="box"];394 -> 1056[label="",style="solid", color="burlywood", weight=9]; 17.23/6.71 1056 -> 424[label="",style="solid", color="burlywood", weight=3]; 17.23/6.71 1057[label="xy400/True",fontsize=10,color="white",style="solid",shape="box"];394 -> 1057[label="",style="solid", color="burlywood", weight=9]; 17.23/6.71 1057 -> 425[label="",style="solid", color="burlywood", weight=3]; 17.23/6.71 395[label="Left xy300 == xy400",fontsize=16,color="burlywood",shape="box"];1058[label="xy400/Left xy4000",fontsize=10,color="white",style="solid",shape="box"];395 -> 1058[label="",style="solid", color="burlywood", weight=9]; 17.23/6.71 1058 -> 426[label="",style="solid", color="burlywood", weight=3]; 17.23/6.71 1059[label="xy400/Right xy4000",fontsize=10,color="white",style="solid",shape="box"];395 -> 1059[label="",style="solid", color="burlywood", weight=9]; 17.23/6.71 1059 -> 427[label="",style="solid", color="burlywood", weight=3]; 17.23/6.71 396[label="Right xy300 == xy400",fontsize=16,color="burlywood",shape="box"];1060[label="xy400/Left xy4000",fontsize=10,color="white",style="solid",shape="box"];396 -> 1060[label="",style="solid", color="burlywood", weight=9]; 17.23/6.71 1060 -> 428[label="",style="solid", color="burlywood", weight=3]; 17.23/6.71 1061[label="xy400/Right xy4000",fontsize=10,color="white",style="solid",shape="box"];396 -> 1061[label="",style="solid", color="burlywood", weight=9]; 17.23/6.71 1061 -> 429[label="",style="solid", color="burlywood", weight=3]; 17.23/6.71 397[label="xy30",fontsize=16,color="green",shape="box"];398[label="xy400",fontsize=16,color="green",shape="box"];399[label="Integer xy300 == xy400",fontsize=16,color="burlywood",shape="box"];1062[label="xy400/Integer xy4000",fontsize=10,color="white",style="solid",shape="box"];399 -> 1062[label="",style="solid", color="burlywood", weight=9]; 17.23/6.71 1062 -> 430[label="",style="solid", color="burlywood", weight=3]; 17.23/6.71 400[label="xy300 :% xy301 == xy400",fontsize=16,color="burlywood",shape="box"];1063[label="xy400/xy4000 :% xy4001",fontsize=10,color="white",style="solid",shape="box"];400 -> 1063[label="",style="solid", color="burlywood", weight=9]; 17.23/6.71 1063 -> 431[label="",style="solid", color="burlywood", weight=3]; 17.23/6.71 401[label="(xy300,xy301,xy302) == xy400",fontsize=16,color="burlywood",shape="box"];1064[label="xy400/(xy4000,xy4001,xy4002)",fontsize=10,color="white",style="solid",shape="box"];401 -> 1064[label="",style="solid", color="burlywood", weight=9]; 17.23/6.71 1064 -> 432[label="",style="solid", color="burlywood", weight=3]; 17.23/6.71 402[label="LT == xy400",fontsize=16,color="burlywood",shape="box"];1065[label="xy400/LT",fontsize=10,color="white",style="solid",shape="box"];402 -> 1065[label="",style="solid", color="burlywood", weight=9]; 17.23/6.71 1065 -> 433[label="",style="solid", color="burlywood", weight=3]; 17.23/6.71 1066[label="xy400/EQ",fontsize=10,color="white",style="solid",shape="box"];402 -> 1066[label="",style="solid", color="burlywood", weight=9]; 17.23/6.71 1066 -> 434[label="",style="solid", color="burlywood", weight=3]; 17.23/6.71 1067[label="xy400/GT",fontsize=10,color="white",style="solid",shape="box"];402 -> 1067[label="",style="solid", color="burlywood", weight=9]; 17.23/6.71 1067 -> 435[label="",style="solid", color="burlywood", weight=3]; 17.23/6.71 403[label="EQ == xy400",fontsize=16,color="burlywood",shape="box"];1068[label="xy400/LT",fontsize=10,color="white",style="solid",shape="box"];403 -> 1068[label="",style="solid", color="burlywood", weight=9]; 17.23/6.71 1068 -> 436[label="",style="solid", color="burlywood", weight=3]; 17.23/6.71 1069[label="xy400/EQ",fontsize=10,color="white",style="solid",shape="box"];403 -> 1069[label="",style="solid", color="burlywood", weight=9]; 17.23/6.71 1069 -> 437[label="",style="solid", color="burlywood", weight=3]; 17.23/6.71 1070[label="xy400/GT",fontsize=10,color="white",style="solid",shape="box"];403 -> 1070[label="",style="solid", color="burlywood", weight=9]; 17.23/6.71 1070 -> 438[label="",style="solid", color="burlywood", weight=3]; 17.23/6.71 404[label="GT == xy400",fontsize=16,color="burlywood",shape="box"];1071[label="xy400/LT",fontsize=10,color="white",style="solid",shape="box"];404 -> 1071[label="",style="solid", color="burlywood", weight=9]; 17.23/6.71 1071 -> 439[label="",style="solid", color="burlywood", weight=3]; 17.23/6.71 1072[label="xy400/EQ",fontsize=10,color="white",style="solid",shape="box"];404 -> 1072[label="",style="solid", color="burlywood", weight=9]; 17.23/6.71 1072 -> 440[label="",style="solid", color="burlywood", weight=3]; 17.23/6.71 1073[label="xy400/GT",fontsize=10,color="white",style="solid",shape="box"];404 -> 1073[label="",style="solid", color="burlywood", weight=9]; 17.23/6.71 1073 -> 441[label="",style="solid", color="burlywood", weight=3]; 17.23/6.71 405[label="() == xy400",fontsize=16,color="burlywood",shape="box"];1074[label="xy400/()",fontsize=10,color="white",style="solid",shape="box"];405 -> 1074[label="",style="solid", color="burlywood", weight=9]; 17.23/6.71 1074 -> 442[label="",style="solid", color="burlywood", weight=3]; 17.23/6.71 406[label="xy310 : xy311 == xy4010 : xy4011",fontsize=16,color="black",shape="box"];406 -> 443[label="",style="solid", color="black", weight=3]; 17.23/6.71 407[label="xy310 : xy311 == []",fontsize=16,color="black",shape="box"];407 -> 444[label="",style="solid", color="black", weight=3]; 17.23/6.71 408[label="[] == xy4010 : xy4011",fontsize=16,color="black",shape="box"];408 -> 445[label="",style="solid", color="black", weight=3]; 17.23/6.71 409[label="[] == []",fontsize=16,color="black",shape="box"];409 -> 446[label="",style="solid", color="black", weight=3]; 17.23/6.71 410[label="False",fontsize=16,color="green",shape="box"];411[label="xy31",fontsize=16,color="green",shape="box"];166 -> 5[label="",style="dashed", color="red", weight=0]; 17.23/6.71 166[label="List.deleteBy (==) (xy15 : xy16) xy12",fontsize=16,color="magenta"];166 -> 216[label="",style="dashed", color="magenta", weight=3]; 17.23/6.71 166 -> 217[label="",style="dashed", color="magenta", weight=3]; 17.23/6.71 412[label="primEqDouble (Double xy300 xy301) xy400",fontsize=16,color="burlywood",shape="box"];1075[label="xy400/Double xy4000 xy4001",fontsize=10,color="white",style="solid",shape="box"];412 -> 1075[label="",style="solid", color="burlywood", weight=9]; 17.23/6.71 1075 -> 447[label="",style="solid", color="burlywood", weight=3]; 17.23/6.71 413[label="primEqChar (Char xy300) xy400",fontsize=16,color="burlywood",shape="box"];1076[label="xy400/Char xy4000",fontsize=10,color="white",style="solid",shape="box"];413 -> 1076[label="",style="solid", color="burlywood", weight=9]; 17.23/6.71 1076 -> 448[label="",style="solid", color="burlywood", weight=3]; 17.23/6.71 414[label="(xy300,xy301) == (xy4000,xy4001)",fontsize=16,color="black",shape="box"];414 -> 449[label="",style="solid", color="black", weight=3]; 17.23/6.71 415[label="Nothing == Nothing",fontsize=16,color="black",shape="box"];415 -> 450[label="",style="solid", color="black", weight=3]; 17.23/6.71 416[label="Nothing == Just xy4000",fontsize=16,color="black",shape="box"];416 -> 451[label="",style="solid", color="black", weight=3]; 17.23/6.71 417[label="Just xy300 == Nothing",fontsize=16,color="black",shape="box"];417 -> 452[label="",style="solid", color="black", weight=3]; 17.23/6.71 418[label="Just xy300 == Just xy4000",fontsize=16,color="black",shape="box"];418 -> 453[label="",style="solid", color="black", weight=3]; 17.23/6.71 419[label="primEqInt (Pos xy300) xy400",fontsize=16,color="burlywood",shape="box"];1077[label="xy300/Succ xy3000",fontsize=10,color="white",style="solid",shape="box"];419 -> 1077[label="",style="solid", color="burlywood", weight=9]; 17.23/6.71 1077 -> 454[label="",style="solid", color="burlywood", weight=3]; 17.23/6.71 1078[label="xy300/Zero",fontsize=10,color="white",style="solid",shape="box"];419 -> 1078[label="",style="solid", color="burlywood", weight=9]; 17.23/6.71 1078 -> 455[label="",style="solid", color="burlywood", weight=3]; 17.23/6.71 420[label="primEqInt (Neg xy300) xy400",fontsize=16,color="burlywood",shape="box"];1079[label="xy300/Succ xy3000",fontsize=10,color="white",style="solid",shape="box"];420 -> 1079[label="",style="solid", color="burlywood", weight=9]; 17.23/6.71 1079 -> 456[label="",style="solid", color="burlywood", weight=3]; 17.23/6.71 1080[label="xy300/Zero",fontsize=10,color="white",style="solid",shape="box"];420 -> 1080[label="",style="solid", color="burlywood", weight=9]; 17.23/6.71 1080 -> 457[label="",style="solid", color="burlywood", weight=3]; 17.23/6.71 421[label="primEqFloat (Float xy300 xy301) xy400",fontsize=16,color="burlywood",shape="box"];1081[label="xy400/Float xy4000 xy4001",fontsize=10,color="white",style="solid",shape="box"];421 -> 1081[label="",style="solid", color="burlywood", weight=9]; 17.23/6.71 1081 -> 458[label="",style="solid", color="burlywood", weight=3]; 17.23/6.71 422[label="False == False",fontsize=16,color="black",shape="box"];422 -> 459[label="",style="solid", color="black", weight=3]; 17.23/6.71 423[label="False == True",fontsize=16,color="black",shape="box"];423 -> 460[label="",style="solid", color="black", weight=3]; 17.23/6.71 424[label="True == False",fontsize=16,color="black",shape="box"];424 -> 461[label="",style="solid", color="black", weight=3]; 17.23/6.71 425[label="True == True",fontsize=16,color="black",shape="box"];425 -> 462[label="",style="solid", color="black", weight=3]; 17.23/6.71 426[label="Left xy300 == Left xy4000",fontsize=16,color="black",shape="box"];426 -> 463[label="",style="solid", color="black", weight=3]; 17.23/6.71 427[label="Left xy300 == Right xy4000",fontsize=16,color="black",shape="box"];427 -> 464[label="",style="solid", color="black", weight=3]; 17.23/6.71 428[label="Right xy300 == Left xy4000",fontsize=16,color="black",shape="box"];428 -> 465[label="",style="solid", color="black", weight=3]; 17.23/6.71 429[label="Right xy300 == Right xy4000",fontsize=16,color="black",shape="box"];429 -> 466[label="",style="solid", color="black", weight=3]; 17.23/6.71 430[label="Integer xy300 == Integer xy4000",fontsize=16,color="black",shape="box"];430 -> 467[label="",style="solid", color="black", weight=3]; 17.23/6.71 431[label="xy300 :% xy301 == xy4000 :% xy4001",fontsize=16,color="black",shape="box"];431 -> 468[label="",style="solid", color="black", weight=3]; 17.23/6.71 432[label="(xy300,xy301,xy302) == (xy4000,xy4001,xy4002)",fontsize=16,color="black",shape="box"];432 -> 469[label="",style="solid", color="black", weight=3]; 17.23/6.71 433[label="LT == LT",fontsize=16,color="black",shape="box"];433 -> 470[label="",style="solid", color="black", weight=3]; 17.23/6.71 434[label="LT == EQ",fontsize=16,color="black",shape="box"];434 -> 471[label="",style="solid", color="black", weight=3]; 17.23/6.71 435[label="LT == GT",fontsize=16,color="black",shape="box"];435 -> 472[label="",style="solid", color="black", weight=3]; 17.23/6.71 436[label="EQ == LT",fontsize=16,color="black",shape="box"];436 -> 473[label="",style="solid", color="black", weight=3]; 17.23/6.71 437[label="EQ == EQ",fontsize=16,color="black",shape="box"];437 -> 474[label="",style="solid", color="black", weight=3]; 17.23/6.71 438[label="EQ == GT",fontsize=16,color="black",shape="box"];438 -> 475[label="",style="solid", color="black", weight=3]; 17.23/6.71 439[label="GT == LT",fontsize=16,color="black",shape="box"];439 -> 476[label="",style="solid", color="black", weight=3]; 17.23/6.71 440[label="GT == EQ",fontsize=16,color="black",shape="box"];440 -> 477[label="",style="solid", color="black", weight=3]; 17.23/6.71 441[label="GT == GT",fontsize=16,color="black",shape="box"];441 -> 478[label="",style="solid", color="black", weight=3]; 17.23/6.71 442[label="() == ()",fontsize=16,color="black",shape="box"];442 -> 479[label="",style="solid", color="black", weight=3]; 17.23/6.71 443 -> 363[label="",style="dashed", color="red", weight=0]; 17.23/6.71 443[label="xy310 == xy4010 && xy311 == xy4011",fontsize=16,color="magenta"];443 -> 480[label="",style="dashed", color="magenta", weight=3]; 17.23/6.71 443 -> 481[label="",style="dashed", color="magenta", weight=3]; 17.23/6.71 444[label="False",fontsize=16,color="green",shape="box"];445[label="False",fontsize=16,color="green",shape="box"];446[label="True",fontsize=16,color="green",shape="box"];216[label="xy12",fontsize=16,color="green",shape="box"];217[label="xy15 : xy16",fontsize=16,color="green",shape="box"];447[label="primEqDouble (Double xy300 xy301) (Double xy4000 xy4001)",fontsize=16,color="black",shape="box"];447 -> 482[label="",style="solid", color="black", weight=3]; 17.23/6.71 448[label="primEqChar (Char xy300) (Char xy4000)",fontsize=16,color="black",shape="box"];448 -> 483[label="",style="solid", color="black", weight=3]; 17.23/6.71 449 -> 363[label="",style="dashed", color="red", weight=0]; 17.23/6.71 449[label="xy300 == xy4000 && xy301 == xy4001",fontsize=16,color="magenta"];449 -> 484[label="",style="dashed", color="magenta", weight=3]; 17.23/6.71 449 -> 485[label="",style="dashed", color="magenta", weight=3]; 17.23/6.71 450[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="xy300 == xy4000",fontsize=16,color="blue",shape="box"];1082[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];453 -> 1082[label="",style="solid", color="blue", weight=9]; 17.23/6.71 1082 -> 486[label="",style="solid", color="blue", weight=3]; 17.23/6.71 1083[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];453 -> 1083[label="",style="solid", color="blue", weight=9]; 17.23/6.71 1083 -> 487[label="",style="solid", color="blue", weight=3]; 17.23/6.71 1084[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];453 -> 1084[label="",style="solid", color="blue", weight=9]; 17.23/6.71 1084 -> 488[label="",style="solid", color="blue", weight=3]; 17.23/6.71 1085[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];453 -> 1085[label="",style="solid", color="blue", weight=9]; 17.23/6.71 1085 -> 489[label="",style="solid", color="blue", weight=3]; 17.23/6.71 1086[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];453 -> 1086[label="",style="solid", color="blue", weight=9]; 17.23/6.71 1086 -> 490[label="",style="solid", color="blue", weight=3]; 17.23/6.71 1087[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];453 -> 1087[label="",style="solid", color="blue", weight=9]; 17.23/6.71 1087 -> 491[label="",style="solid", color="blue", weight=3]; 17.23/6.71 1088[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];453 -> 1088[label="",style="solid", color="blue", weight=9]; 17.23/6.71 1088 -> 492[label="",style="solid", color="blue", weight=3]; 17.23/6.71 1089[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];453 -> 1089[label="",style="solid", color="blue", weight=9]; 17.23/6.71 1089 -> 493[label="",style="solid", color="blue", weight=3]; 17.23/6.71 1090[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];453 -> 1090[label="",style="solid", color="blue", weight=9]; 17.23/6.71 1090 -> 494[label="",style="solid", color="blue", weight=3]; 17.23/6.71 1091[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];453 -> 1091[label="",style="solid", color="blue", weight=9]; 17.23/6.71 1091 -> 495[label="",style="solid", color="blue", weight=3]; 17.23/6.71 1092[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];453 -> 1092[label="",style="solid", color="blue", weight=9]; 17.23/6.71 1092 -> 496[label="",style="solid", color="blue", weight=3]; 17.23/6.71 1093[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];453 -> 1093[label="",style="solid", color="blue", weight=9]; 17.23/6.71 1093 -> 497[label="",style="solid", color="blue", weight=3]; 17.23/6.71 1094[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];453 -> 1094[label="",style="solid", color="blue", weight=9]; 17.23/6.71 1094 -> 498[label="",style="solid", color="blue", weight=3]; 17.23/6.71 1095[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];453 -> 1095[label="",style="solid", color="blue", weight=9]; 17.23/6.71 1095 -> 499[label="",style="solid", color="blue", weight=3]; 17.23/6.71 454[label="primEqInt (Pos (Succ xy3000)) xy400",fontsize=16,color="burlywood",shape="box"];1096[label="xy400/Pos xy4000",fontsize=10,color="white",style="solid",shape="box"];454 -> 1096[label="",style="solid", color="burlywood", weight=9]; 17.23/6.71 1096 -> 500[label="",style="solid", color="burlywood", weight=3]; 17.23/6.71 1097[label="xy400/Neg xy4000",fontsize=10,color="white",style="solid",shape="box"];454 -> 1097[label="",style="solid", color="burlywood", weight=9]; 17.23/6.71 1097 -> 501[label="",style="solid", color="burlywood", weight=3]; 17.23/6.71 455[label="primEqInt (Pos Zero) xy400",fontsize=16,color="burlywood",shape="box"];1098[label="xy400/Pos xy4000",fontsize=10,color="white",style="solid",shape="box"];455 -> 1098[label="",style="solid", color="burlywood", weight=9]; 17.23/6.71 1098 -> 502[label="",style="solid", color="burlywood", weight=3]; 17.23/6.71 1099[label="xy400/Neg xy4000",fontsize=10,color="white",style="solid",shape="box"];455 -> 1099[label="",style="solid", color="burlywood", weight=9]; 17.23/6.71 1099 -> 503[label="",style="solid", color="burlywood", weight=3]; 17.23/6.71 456[label="primEqInt (Neg (Succ xy3000)) xy400",fontsize=16,color="burlywood",shape="box"];1100[label="xy400/Pos xy4000",fontsize=10,color="white",style="solid",shape="box"];456 -> 1100[label="",style="solid", color="burlywood", weight=9]; 17.23/6.71 1100 -> 504[label="",style="solid", color="burlywood", weight=3]; 17.23/6.71 1101[label="xy400/Neg xy4000",fontsize=10,color="white",style="solid",shape="box"];456 -> 1101[label="",style="solid", color="burlywood", weight=9]; 17.23/6.71 1101 -> 505[label="",style="solid", color="burlywood", weight=3]; 17.23/6.71 457[label="primEqInt (Neg Zero) xy400",fontsize=16,color="burlywood",shape="box"];1102[label="xy400/Pos xy4000",fontsize=10,color="white",style="solid",shape="box"];457 -> 1102[label="",style="solid", color="burlywood", weight=9]; 17.23/6.71 1102 -> 506[label="",style="solid", color="burlywood", weight=3]; 17.23/6.71 1103[label="xy400/Neg xy4000",fontsize=10,color="white",style="solid",shape="box"];457 -> 1103[label="",style="solid", color="burlywood", weight=9]; 17.23/6.71 1103 -> 507[label="",style="solid", color="burlywood", weight=3]; 17.23/6.71 458[label="primEqFloat (Float xy300 xy301) (Float xy4000 xy4001)",fontsize=16,color="black",shape="box"];458 -> 508[label="",style="solid", color="black", weight=3]; 17.23/6.71 459[label="True",fontsize=16,color="green",shape="box"];460[label="False",fontsize=16,color="green",shape="box"];461[label="False",fontsize=16,color="green",shape="box"];462[label="True",fontsize=16,color="green",shape="box"];463[label="xy300 == xy4000",fontsize=16,color="blue",shape="box"];1104[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];463 -> 1104[label="",style="solid", color="blue", weight=9]; 17.23/6.71 1104 -> 509[label="",style="solid", color="blue", weight=3]; 17.23/6.71 1105[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];463 -> 1105[label="",style="solid", color="blue", weight=9]; 17.23/6.71 1105 -> 510[label="",style="solid", color="blue", weight=3]; 17.23/6.71 1106[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];463 -> 1106[label="",style="solid", color="blue", weight=9]; 17.23/6.71 1106 -> 511[label="",style="solid", color="blue", weight=3]; 17.23/6.71 1107[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];463 -> 1107[label="",style="solid", color="blue", weight=9]; 17.23/6.71 1107 -> 512[label="",style="solid", color="blue", weight=3]; 17.23/6.71 1108[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];463 -> 1108[label="",style="solid", color="blue", weight=9]; 17.23/6.71 1108 -> 513[label="",style="solid", color="blue", weight=3]; 17.23/6.71 1109[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];463 -> 1109[label="",style="solid", color="blue", weight=9]; 17.23/6.71 1109 -> 514[label="",style="solid", color="blue", weight=3]; 17.23/6.71 1110[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];463 -> 1110[label="",style="solid", color="blue", weight=9]; 17.23/6.71 1110 -> 515[label="",style="solid", color="blue", weight=3]; 17.23/6.71 1111[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];463 -> 1111[label="",style="solid", color="blue", weight=9]; 17.23/6.71 1111 -> 516[label="",style="solid", color="blue", weight=3]; 17.23/6.71 1112[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];463 -> 1112[label="",style="solid", color="blue", weight=9]; 17.23/6.71 1112 -> 517[label="",style="solid", color="blue", weight=3]; 17.23/6.71 1113[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];463 -> 1113[label="",style="solid", color="blue", weight=9]; 17.23/6.71 1113 -> 518[label="",style="solid", color="blue", weight=3]; 17.23/6.71 1114[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];463 -> 1114[label="",style="solid", color="blue", weight=9]; 17.23/6.71 1114 -> 519[label="",style="solid", color="blue", weight=3]; 17.23/6.71 1115[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];463 -> 1115[label="",style="solid", color="blue", weight=9]; 17.23/6.71 1115 -> 520[label="",style="solid", color="blue", weight=3]; 17.23/6.71 1116[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];463 -> 1116[label="",style="solid", color="blue", weight=9]; 17.23/6.71 1116 -> 521[label="",style="solid", color="blue", weight=3]; 17.23/6.71 1117[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];463 -> 1117[label="",style="solid", color="blue", weight=9]; 17.23/6.71 1117 -> 522[label="",style="solid", color="blue", weight=3]; 17.23/6.71 464[label="False",fontsize=16,color="green",shape="box"];465[label="False",fontsize=16,color="green",shape="box"];466[label="xy300 == xy4000",fontsize=16,color="blue",shape="box"];1118[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];466 -> 1118[label="",style="solid", color="blue", weight=9]; 17.23/6.71 1118 -> 523[label="",style="solid", color="blue", weight=3]; 17.23/6.71 1119[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];466 -> 1119[label="",style="solid", color="blue", weight=9]; 17.23/6.71 1119 -> 524[label="",style="solid", color="blue", weight=3]; 17.23/6.71 1120[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];466 -> 1120[label="",style="solid", color="blue", weight=9]; 17.23/6.71 1120 -> 525[label="",style="solid", color="blue", weight=3]; 17.23/6.71 1121[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];466 -> 1121[label="",style="solid", color="blue", weight=9]; 17.23/6.71 1121 -> 526[label="",style="solid", color="blue", weight=3]; 17.23/6.71 1122[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];466 -> 1122[label="",style="solid", color="blue", weight=9]; 17.23/6.71 1122 -> 527[label="",style="solid", color="blue", weight=3]; 17.23/6.71 1123[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];466 -> 1123[label="",style="solid", color="blue", weight=9]; 17.23/6.71 1123 -> 528[label="",style="solid", color="blue", weight=3]; 17.23/6.71 1124[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];466 -> 1124[label="",style="solid", color="blue", weight=9]; 17.23/6.71 1124 -> 529[label="",style="solid", color="blue", weight=3]; 17.23/6.71 1125[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];466 -> 1125[label="",style="solid", color="blue", weight=9]; 17.23/6.71 1125 -> 530[label="",style="solid", color="blue", weight=3]; 17.23/6.71 1126[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];466 -> 1126[label="",style="solid", color="blue", weight=9]; 17.23/6.71 1126 -> 531[label="",style="solid", color="blue", weight=3]; 17.23/6.71 1127[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];466 -> 1127[label="",style="solid", color="blue", weight=9]; 17.23/6.71 1127 -> 532[label="",style="solid", color="blue", weight=3]; 17.23/6.71 1128[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];466 -> 1128[label="",style="solid", color="blue", weight=9]; 17.23/6.71 1128 -> 533[label="",style="solid", color="blue", weight=3]; 17.23/6.71 1129[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];466 -> 1129[label="",style="solid", color="blue", weight=9]; 17.23/6.71 1129 -> 534[label="",style="solid", color="blue", weight=3]; 17.23/6.71 1130[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];466 -> 1130[label="",style="solid", color="blue", weight=9]; 17.23/6.71 1130 -> 535[label="",style="solid", color="blue", weight=3]; 17.23/6.71 1131[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];466 -> 1131[label="",style="solid", color="blue", weight=9]; 17.23/6.71 1131 -> 536[label="",style="solid", color="blue", weight=3]; 17.23/6.71 467 -> 391[label="",style="dashed", color="red", weight=0]; 17.23/6.71 467[label="primEqInt xy300 xy4000",fontsize=16,color="magenta"];467 -> 537[label="",style="dashed", color="magenta", weight=3]; 17.23/6.71 467 -> 538[label="",style="dashed", color="magenta", weight=3]; 17.23/6.71 468 -> 363[label="",style="dashed", color="red", weight=0]; 17.23/6.71 468[label="xy300 == xy4000 && xy301 == xy4001",fontsize=16,color="magenta"];468 -> 539[label="",style="dashed", color="magenta", weight=3]; 17.23/6.71 468 -> 540[label="",style="dashed", color="magenta", weight=3]; 17.23/6.71 469 -> 363[label="",style="dashed", color="red", weight=0]; 17.23/6.71 469[label="xy300 == xy4000 && xy301 == xy4001 && xy302 == xy4002",fontsize=16,color="magenta"];469 -> 541[label="",style="dashed", color="magenta", weight=3]; 17.23/6.71 469 -> 542[label="",style="dashed", color="magenta", weight=3]; 17.23/6.71 470[label="True",fontsize=16,color="green",shape="box"];471[label="False",fontsize=16,color="green",shape="box"];472[label="False",fontsize=16,color="green",shape="box"];473[label="False",fontsize=16,color="green",shape="box"];474[label="True",fontsize=16,color="green",shape="box"];475[label="False",fontsize=16,color="green",shape="box"];476[label="False",fontsize=16,color="green",shape="box"];477[label="False",fontsize=16,color="green",shape="box"];478[label="True",fontsize=16,color="green",shape="box"];479[label="True",fontsize=16,color="green",shape="box"];480[label="xy310 == xy4010",fontsize=16,color="blue",shape="box"];1132[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];480 -> 1132[label="",style="solid", color="blue", weight=9]; 17.23/6.71 1132 -> 543[label="",style="solid", color="blue", weight=3]; 17.23/6.71 1133[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];480 -> 1133[label="",style="solid", color="blue", weight=9]; 17.23/6.71 1133 -> 544[label="",style="solid", color="blue", weight=3]; 17.23/6.71 1134[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];480 -> 1134[label="",style="solid", color="blue", weight=9]; 17.23/6.71 1134 -> 545[label="",style="solid", color="blue", weight=3]; 17.23/6.71 1135[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];480 -> 1135[label="",style="solid", color="blue", weight=9]; 17.23/6.71 1135 -> 546[label="",style="solid", color="blue", weight=3]; 17.23/6.71 1136[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];480 -> 1136[label="",style="solid", color="blue", weight=9]; 17.23/6.71 1136 -> 547[label="",style="solid", color="blue", weight=3]; 17.23/6.71 1137[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];480 -> 1137[label="",style="solid", color="blue", weight=9]; 17.23/6.71 1137 -> 548[label="",style="solid", color="blue", weight=3]; 17.23/6.71 1138[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];480 -> 1138[label="",style="solid", color="blue", weight=9]; 17.23/6.71 1138 -> 549[label="",style="solid", color="blue", weight=3]; 17.23/6.71 1139[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];480 -> 1139[label="",style="solid", color="blue", weight=9]; 17.23/6.71 1139 -> 550[label="",style="solid", color="blue", weight=3]; 17.23/6.71 1140[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];480 -> 1140[label="",style="solid", color="blue", weight=9]; 17.23/6.71 1140 -> 551[label="",style="solid", color="blue", weight=3]; 17.23/6.71 1141[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];480 -> 1141[label="",style="solid", color="blue", weight=9]; 17.23/6.71 1141 -> 552[label="",style="solid", color="blue", weight=3]; 17.23/6.71 1142[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];480 -> 1142[label="",style="solid", color="blue", weight=9]; 17.23/6.71 1142 -> 553[label="",style="solid", color="blue", weight=3]; 17.23/6.71 1143[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];480 -> 1143[label="",style="solid", color="blue", weight=9]; 17.23/6.71 1143 -> 554[label="",style="solid", color="blue", weight=3]; 17.23/6.71 1144[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];480 -> 1144[label="",style="solid", color="blue", weight=9]; 17.23/6.71 1144 -> 555[label="",style="solid", color="blue", weight=3]; 17.23/6.71 1145[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];480 -> 1145[label="",style="solid", color="blue", weight=9]; 17.23/6.71 1145 -> 556[label="",style="solid", color="blue", weight=3]; 17.23/6.71 481 -> 365[label="",style="dashed", color="red", weight=0]; 17.23/6.71 481[label="xy311 == xy4011",fontsize=16,color="magenta"];481 -> 557[label="",style="dashed", color="magenta", weight=3]; 17.23/6.71 481 -> 558[label="",style="dashed", color="magenta", weight=3]; 17.23/6.71 482 -> 372[label="",style="dashed", color="red", weight=0]; 17.23/6.71 482[label="xy300 * xy4001 == xy301 * xy4000",fontsize=16,color="magenta"];482 -> 559[label="",style="dashed", color="magenta", weight=3]; 17.23/6.71 482 -> 560[label="",style="dashed", color="magenta", weight=3]; 17.23/6.71 483[label="primEqNat xy300 xy4000",fontsize=16,color="burlywood",shape="triangle"];1146[label="xy300/Succ xy3000",fontsize=10,color="white",style="solid",shape="box"];483 -> 1146[label="",style="solid", color="burlywood", weight=9]; 17.23/6.71 1146 -> 561[label="",style="solid", color="burlywood", weight=3]; 17.23/6.71 1147[label="xy300/Zero",fontsize=10,color="white",style="solid",shape="box"];483 -> 1147[label="",style="solid", color="burlywood", weight=9]; 17.23/6.71 1147 -> 562[label="",style="solid", color="burlywood", weight=3]; 17.23/6.71 484[label="xy300 == xy4000",fontsize=16,color="blue",shape="box"];1148[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];484 -> 1148[label="",style="solid", color="blue", weight=9]; 17.23/6.71 1148 -> 563[label="",style="solid", color="blue", weight=3]; 17.23/6.71 1149[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];484 -> 1149[label="",style="solid", color="blue", weight=9]; 17.23/6.71 1149 -> 564[label="",style="solid", color="blue", weight=3]; 17.23/6.71 1150[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];484 -> 1150[label="",style="solid", color="blue", weight=9]; 17.23/6.71 1150 -> 565[label="",style="solid", color="blue", weight=3]; 17.23/6.71 1151[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];484 -> 1151[label="",style="solid", color="blue", weight=9]; 17.23/6.71 1151 -> 566[label="",style="solid", color="blue", weight=3]; 17.23/6.71 1152[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];484 -> 1152[label="",style="solid", color="blue", weight=9]; 17.23/6.71 1152 -> 567[label="",style="solid", color="blue", weight=3]; 17.23/6.71 1153[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];484 -> 1153[label="",style="solid", color="blue", weight=9]; 17.23/6.71 1153 -> 568[label="",style="solid", color="blue", weight=3]; 17.23/6.71 1154[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];484 -> 1154[label="",style="solid", color="blue", weight=9]; 17.23/6.71 1154 -> 569[label="",style="solid", color="blue", weight=3]; 17.23/6.71 1155[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];484 -> 1155[label="",style="solid", color="blue", weight=9]; 17.23/6.71 1155 -> 570[label="",style="solid", color="blue", weight=3]; 17.23/6.71 1156[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];484 -> 1156[label="",style="solid", color="blue", weight=9]; 17.23/6.71 1156 -> 571[label="",style="solid", color="blue", weight=3]; 17.23/6.71 1157[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];484 -> 1157[label="",style="solid", color="blue", weight=9]; 17.23/6.71 1157 -> 572[label="",style="solid", color="blue", weight=3]; 17.23/6.71 1158[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];484 -> 1158[label="",style="solid", color="blue", weight=9]; 17.23/6.71 1158 -> 573[label="",style="solid", color="blue", weight=3]; 17.23/6.71 1159[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];484 -> 1159[label="",style="solid", color="blue", weight=9]; 17.23/6.71 1159 -> 574[label="",style="solid", color="blue", weight=3]; 17.23/6.71 1160[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];484 -> 1160[label="",style="solid", color="blue", weight=9]; 17.23/6.71 1160 -> 575[label="",style="solid", color="blue", weight=3]; 17.23/6.71 1161[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];484 -> 1161[label="",style="solid", color="blue", weight=9]; 17.23/6.71 1161 -> 576[label="",style="solid", color="blue", weight=3]; 17.23/6.71 485[label="xy301 == xy4001",fontsize=16,color="blue",shape="box"];1162[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];485 -> 1162[label="",style="solid", color="blue", weight=9]; 17.23/6.71 1162 -> 577[label="",style="solid", color="blue", weight=3]; 17.23/6.71 1163[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];485 -> 1163[label="",style="solid", color="blue", weight=9]; 17.23/6.71 1163 -> 578[label="",style="solid", color="blue", weight=3]; 17.23/6.71 1164[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];485 -> 1164[label="",style="solid", color="blue", weight=9]; 17.23/6.71 1164 -> 579[label="",style="solid", color="blue", weight=3]; 17.23/6.71 1165[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];485 -> 1165[label="",style="solid", color="blue", weight=9]; 17.23/6.71 1165 -> 580[label="",style="solid", color="blue", weight=3]; 17.23/6.71 1166[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];485 -> 1166[label="",style="solid", color="blue", weight=9]; 17.23/6.71 1166 -> 581[label="",style="solid", color="blue", weight=3]; 17.23/6.71 1167[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];485 -> 1167[label="",style="solid", color="blue", weight=9]; 17.23/6.71 1167 -> 582[label="",style="solid", color="blue", weight=3]; 17.23/6.71 1168[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];485 -> 1168[label="",style="solid", color="blue", weight=9]; 17.23/6.71 1168 -> 583[label="",style="solid", color="blue", weight=3]; 17.23/6.71 1169[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];485 -> 1169[label="",style="solid", color="blue", weight=9]; 17.23/6.71 1169 -> 584[label="",style="solid", color="blue", weight=3]; 17.23/6.71 1170[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];485 -> 1170[label="",style="solid", color="blue", weight=9]; 17.23/6.71 1170 -> 585[label="",style="solid", color="blue", weight=3]; 17.23/6.71 1171[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];485 -> 1171[label="",style="solid", color="blue", weight=9]; 17.23/6.71 1171 -> 586[label="",style="solid", color="blue", weight=3]; 17.23/6.71 1172[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];485 -> 1172[label="",style="solid", color="blue", weight=9]; 17.23/6.71 1172 -> 587[label="",style="solid", color="blue", weight=3]; 17.23/6.71 1173[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];485 -> 1173[label="",style="solid", color="blue", weight=9]; 17.23/6.71 1173 -> 588[label="",style="solid", color="blue", weight=3]; 17.23/6.71 1174[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];485 -> 1174[label="",style="solid", color="blue", weight=9]; 17.23/6.71 1174 -> 589[label="",style="solid", color="blue", weight=3]; 17.23/6.71 1175[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];485 -> 1175[label="",style="solid", color="blue", weight=9]; 17.23/6.71 1175 -> 590[label="",style="solid", color="blue", weight=3]; 17.23/6.71 486 -> 368[label="",style="dashed", color="red", weight=0]; 17.23/6.71 486[label="xy300 == xy4000",fontsize=16,color="magenta"];486 -> 591[label="",style="dashed", color="magenta", weight=3]; 17.23/6.71 486 -> 592[label="",style="dashed", color="magenta", weight=3]; 17.23/6.71 487 -> 369[label="",style="dashed", color="red", weight=0]; 17.23/6.71 487[label="xy300 == xy4000",fontsize=16,color="magenta"];487 -> 593[label="",style="dashed", color="magenta", weight=3]; 17.23/6.71 487 -> 594[label="",style="dashed", color="magenta", weight=3]; 17.23/6.71 488 -> 370[label="",style="dashed", color="red", weight=0]; 17.23/6.71 488[label="xy300 == xy4000",fontsize=16,color="magenta"];488 -> 595[label="",style="dashed", color="magenta", weight=3]; 17.23/6.71 488 -> 596[label="",style="dashed", color="magenta", weight=3]; 17.23/6.71 489 -> 371[label="",style="dashed", color="red", weight=0]; 17.23/6.71 489[label="xy300 == xy4000",fontsize=16,color="magenta"];489 -> 597[label="",style="dashed", color="magenta", weight=3]; 17.23/6.71 489 -> 598[label="",style="dashed", color="magenta", weight=3]; 17.23/6.71 490 -> 372[label="",style="dashed", color="red", weight=0]; 17.23/6.71 490[label="xy300 == xy4000",fontsize=16,color="magenta"];490 -> 599[label="",style="dashed", color="magenta", weight=3]; 17.23/6.71 490 -> 600[label="",style="dashed", color="magenta", weight=3]; 17.23/6.71 491 -> 373[label="",style="dashed", color="red", weight=0]; 17.23/6.71 491[label="xy300 == xy4000",fontsize=16,color="magenta"];491 -> 601[label="",style="dashed", color="magenta", weight=3]; 17.23/6.71 491 -> 602[label="",style="dashed", color="magenta", weight=3]; 17.23/6.71 492 -> 374[label="",style="dashed", color="red", weight=0]; 17.23/6.71 492[label="xy300 == xy4000",fontsize=16,color="magenta"];492 -> 603[label="",style="dashed", color="magenta", weight=3]; 17.23/6.71 492 -> 604[label="",style="dashed", color="magenta", weight=3]; 17.23/6.71 493 -> 375[label="",style="dashed", color="red", weight=0]; 17.23/6.71 493[label="xy300 == xy4000",fontsize=16,color="magenta"];493 -> 605[label="",style="dashed", color="magenta", weight=3]; 17.23/6.71 493 -> 606[label="",style="dashed", color="magenta", weight=3]; 17.23/6.71 494 -> 365[label="",style="dashed", color="red", weight=0]; 17.23/6.71 494[label="xy300 == xy4000",fontsize=16,color="magenta"];494 -> 607[label="",style="dashed", color="magenta", weight=3]; 17.23/6.71 494 -> 608[label="",style="dashed", color="magenta", weight=3]; 17.23/6.71 495 -> 377[label="",style="dashed", color="red", weight=0]; 17.23/6.71 495[label="xy300 == xy4000",fontsize=16,color="magenta"];495 -> 609[label="",style="dashed", color="magenta", weight=3]; 17.23/6.71 495 -> 610[label="",style="dashed", color="magenta", weight=3]; 17.23/6.71 496 -> 378[label="",style="dashed", color="red", weight=0]; 17.23/6.71 496[label="xy300 == xy4000",fontsize=16,color="magenta"];496 -> 611[label="",style="dashed", color="magenta", weight=3]; 17.23/6.71 496 -> 612[label="",style="dashed", color="magenta", weight=3]; 17.23/6.71 497 -> 379[label="",style="dashed", color="red", weight=0]; 17.23/6.71 497[label="xy300 == xy4000",fontsize=16,color="magenta"];497 -> 613[label="",style="dashed", color="magenta", weight=3]; 17.23/6.71 497 -> 614[label="",style="dashed", color="magenta", weight=3]; 17.23/6.71 498 -> 380[label="",style="dashed", color="red", weight=0]; 17.23/6.71 498[label="xy300 == xy4000",fontsize=16,color="magenta"];498 -> 615[label="",style="dashed", color="magenta", weight=3]; 17.23/6.71 498 -> 616[label="",style="dashed", color="magenta", weight=3]; 17.23/6.71 499 -> 381[label="",style="dashed", color="red", weight=0]; 17.23/6.71 499[label="xy300 == xy4000",fontsize=16,color="magenta"];499 -> 617[label="",style="dashed", color="magenta", weight=3]; 17.23/6.71 499 -> 618[label="",style="dashed", color="magenta", weight=3]; 17.23/6.71 500[label="primEqInt (Pos (Succ xy3000)) (Pos xy4000)",fontsize=16,color="burlywood",shape="box"];1176[label="xy4000/Succ xy40000",fontsize=10,color="white",style="solid",shape="box"];500 -> 1176[label="",style="solid", color="burlywood", weight=9]; 17.23/6.71 1176 -> 619[label="",style="solid", color="burlywood", weight=3]; 17.23/6.71 1177[label="xy4000/Zero",fontsize=10,color="white",style="solid",shape="box"];500 -> 1177[label="",style="solid", color="burlywood", weight=9]; 17.23/6.71 1177 -> 620[label="",style="solid", color="burlywood", weight=3]; 17.23/6.71 501[label="primEqInt (Pos (Succ xy3000)) (Neg xy4000)",fontsize=16,color="black",shape="box"];501 -> 621[label="",style="solid", color="black", weight=3]; 17.23/6.71 502[label="primEqInt (Pos Zero) (Pos xy4000)",fontsize=16,color="burlywood",shape="box"];1178[label="xy4000/Succ xy40000",fontsize=10,color="white",style="solid",shape="box"];502 -> 1178[label="",style="solid", color="burlywood", weight=9]; 17.23/6.71 1178 -> 622[label="",style="solid", color="burlywood", weight=3]; 17.23/6.71 1179[label="xy4000/Zero",fontsize=10,color="white",style="solid",shape="box"];502 -> 1179[label="",style="solid", color="burlywood", weight=9]; 17.23/6.71 1179 -> 623[label="",style="solid", color="burlywood", weight=3]; 17.23/6.71 503[label="primEqInt (Pos Zero) (Neg xy4000)",fontsize=16,color="burlywood",shape="box"];1180[label="xy4000/Succ xy40000",fontsize=10,color="white",style="solid",shape="box"];503 -> 1180[label="",style="solid", color="burlywood", weight=9]; 17.23/6.71 1180 -> 624[label="",style="solid", color="burlywood", weight=3]; 17.23/6.71 1181[label="xy4000/Zero",fontsize=10,color="white",style="solid",shape="box"];503 -> 1181[label="",style="solid", color="burlywood", weight=9]; 17.23/6.71 1181 -> 625[label="",style="solid", color="burlywood", weight=3]; 17.23/6.71 504[label="primEqInt (Neg (Succ xy3000)) (Pos xy4000)",fontsize=16,color="black",shape="box"];504 -> 626[label="",style="solid", color="black", weight=3]; 17.23/6.71 505[label="primEqInt (Neg (Succ xy3000)) (Neg xy4000)",fontsize=16,color="burlywood",shape="box"];1182[label="xy4000/Succ xy40000",fontsize=10,color="white",style="solid",shape="box"];505 -> 1182[label="",style="solid", color="burlywood", weight=9]; 17.23/6.71 1182 -> 627[label="",style="solid", color="burlywood", weight=3]; 17.23/6.71 1183[label="xy4000/Zero",fontsize=10,color="white",style="solid",shape="box"];505 -> 1183[label="",style="solid", color="burlywood", weight=9]; 17.23/6.71 1183 -> 628[label="",style="solid", color="burlywood", weight=3]; 17.23/6.71 506[label="primEqInt (Neg Zero) (Pos xy4000)",fontsize=16,color="burlywood",shape="box"];1184[label="xy4000/Succ xy40000",fontsize=10,color="white",style="solid",shape="box"];506 -> 1184[label="",style="solid", color="burlywood", weight=9]; 17.23/6.71 1184 -> 629[label="",style="solid", color="burlywood", weight=3]; 17.23/6.71 1185[label="xy4000/Zero",fontsize=10,color="white",style="solid",shape="box"];506 -> 1185[label="",style="solid", color="burlywood", weight=9]; 17.23/6.71 1185 -> 630[label="",style="solid", color="burlywood", weight=3]; 17.23/6.71 507[label="primEqInt (Neg Zero) (Neg xy4000)",fontsize=16,color="burlywood",shape="box"];1186[label="xy4000/Succ xy40000",fontsize=10,color="white",style="solid",shape="box"];507 -> 1186[label="",style="solid", color="burlywood", weight=9]; 17.23/6.71 1186 -> 631[label="",style="solid", color="burlywood", weight=3]; 17.23/6.71 1187[label="xy4000/Zero",fontsize=10,color="white",style="solid",shape="box"];507 -> 1187[label="",style="solid", color="burlywood", weight=9]; 17.23/6.71 1187 -> 632[label="",style="solid", color="burlywood", weight=3]; 17.23/6.71 508 -> 372[label="",style="dashed", color="red", weight=0]; 17.23/6.71 508[label="xy300 * xy4001 == xy301 * xy4000",fontsize=16,color="magenta"];508 -> 633[label="",style="dashed", color="magenta", weight=3]; 17.23/6.71 508 -> 634[label="",style="dashed", color="magenta", weight=3]; 17.23/6.71 509 -> 368[label="",style="dashed", color="red", weight=0]; 17.23/6.71 509[label="xy300 == xy4000",fontsize=16,color="magenta"];509 -> 635[label="",style="dashed", color="magenta", weight=3]; 17.23/6.71 509 -> 636[label="",style="dashed", color="magenta", weight=3]; 17.23/6.71 510 -> 369[label="",style="dashed", color="red", weight=0]; 17.23/6.71 510[label="xy300 == xy4000",fontsize=16,color="magenta"];510 -> 637[label="",style="dashed", color="magenta", weight=3]; 17.23/6.71 510 -> 638[label="",style="dashed", color="magenta", weight=3]; 17.23/6.71 511 -> 370[label="",style="dashed", color="red", weight=0]; 17.23/6.71 511[label="xy300 == xy4000",fontsize=16,color="magenta"];511 -> 639[label="",style="dashed", color="magenta", weight=3]; 17.23/6.71 511 -> 640[label="",style="dashed", color="magenta", weight=3]; 17.23/6.71 512 -> 371[label="",style="dashed", color="red", weight=0]; 17.23/6.71 512[label="xy300 == xy4000",fontsize=16,color="magenta"];512 -> 641[label="",style="dashed", color="magenta", weight=3]; 17.23/6.71 512 -> 642[label="",style="dashed", color="magenta", weight=3]; 17.23/6.71 513 -> 372[label="",style="dashed", color="red", weight=0]; 17.23/6.71 513[label="xy300 == xy4000",fontsize=16,color="magenta"];513 -> 643[label="",style="dashed", color="magenta", weight=3]; 17.23/6.71 513 -> 644[label="",style="dashed", color="magenta", weight=3]; 17.23/6.71 514 -> 373[label="",style="dashed", color="red", weight=0]; 17.23/6.71 514[label="xy300 == xy4000",fontsize=16,color="magenta"];514 -> 645[label="",style="dashed", color="magenta", weight=3]; 17.23/6.71 514 -> 646[label="",style="dashed", color="magenta", weight=3]; 17.23/6.71 515 -> 374[label="",style="dashed", color="red", weight=0]; 17.23/6.71 515[label="xy300 == xy4000",fontsize=16,color="magenta"];515 -> 647[label="",style="dashed", color="magenta", weight=3]; 17.23/6.71 515 -> 648[label="",style="dashed", color="magenta", weight=3]; 17.23/6.71 516 -> 375[label="",style="dashed", color="red", weight=0]; 17.23/6.71 516[label="xy300 == xy4000",fontsize=16,color="magenta"];516 -> 649[label="",style="dashed", color="magenta", weight=3]; 17.23/6.71 516 -> 650[label="",style="dashed", color="magenta", weight=3]; 17.23/6.71 517 -> 365[label="",style="dashed", color="red", weight=0]; 17.23/6.71 517[label="xy300 == xy4000",fontsize=16,color="magenta"];517 -> 651[label="",style="dashed", color="magenta", weight=3]; 17.23/6.71 517 -> 652[label="",style="dashed", color="magenta", weight=3]; 17.23/6.71 518 -> 377[label="",style="dashed", color="red", weight=0]; 17.23/6.71 518[label="xy300 == xy4000",fontsize=16,color="magenta"];518 -> 653[label="",style="dashed", color="magenta", weight=3]; 17.23/6.71 518 -> 654[label="",style="dashed", color="magenta", weight=3]; 17.23/6.71 519 -> 378[label="",style="dashed", color="red", weight=0]; 17.23/6.71 519[label="xy300 == xy4000",fontsize=16,color="magenta"];519 -> 655[label="",style="dashed", color="magenta", weight=3]; 17.23/6.71 519 -> 656[label="",style="dashed", color="magenta", weight=3]; 17.23/6.71 520 -> 379[label="",style="dashed", color="red", weight=0]; 17.23/6.71 520[label="xy300 == xy4000",fontsize=16,color="magenta"];520 -> 657[label="",style="dashed", color="magenta", weight=3]; 17.23/6.71 520 -> 658[label="",style="dashed", color="magenta", weight=3]; 17.23/6.71 521 -> 380[label="",style="dashed", color="red", weight=0]; 17.23/6.71 521[label="xy300 == xy4000",fontsize=16,color="magenta"];521 -> 659[label="",style="dashed", color="magenta", weight=3]; 17.23/6.71 521 -> 660[label="",style="dashed", color="magenta", weight=3]; 17.23/6.71 522 -> 381[label="",style="dashed", color="red", weight=0]; 17.23/6.71 522[label="xy300 == xy4000",fontsize=16,color="magenta"];522 -> 661[label="",style="dashed", color="magenta", weight=3]; 17.23/6.71 522 -> 662[label="",style="dashed", color="magenta", weight=3]; 17.23/6.71 523 -> 368[label="",style="dashed", color="red", weight=0]; 17.23/6.71 523[label="xy300 == xy4000",fontsize=16,color="magenta"];523 -> 663[label="",style="dashed", color="magenta", weight=3]; 17.23/6.71 523 -> 664[label="",style="dashed", color="magenta", weight=3]; 17.23/6.71 524 -> 369[label="",style="dashed", color="red", weight=0]; 17.23/6.71 524[label="xy300 == xy4000",fontsize=16,color="magenta"];524 -> 665[label="",style="dashed", color="magenta", weight=3]; 17.23/6.71 524 -> 666[label="",style="dashed", color="magenta", weight=3]; 17.23/6.71 525 -> 370[label="",style="dashed", color="red", weight=0]; 17.23/6.71 525[label="xy300 == xy4000",fontsize=16,color="magenta"];525 -> 667[label="",style="dashed", color="magenta", weight=3]; 17.23/6.71 525 -> 668[label="",style="dashed", color="magenta", weight=3]; 17.23/6.71 526 -> 371[label="",style="dashed", color="red", weight=0]; 17.23/6.71 526[label="xy300 == xy4000",fontsize=16,color="magenta"];526 -> 669[label="",style="dashed", color="magenta", weight=3]; 17.23/6.71 526 -> 670[label="",style="dashed", color="magenta", weight=3]; 17.23/6.71 527 -> 372[label="",style="dashed", color="red", weight=0]; 17.23/6.71 527[label="xy300 == xy4000",fontsize=16,color="magenta"];527 -> 671[label="",style="dashed", color="magenta", weight=3]; 17.23/6.71 527 -> 672[label="",style="dashed", color="magenta", weight=3]; 17.23/6.71 528 -> 373[label="",style="dashed", color="red", weight=0]; 17.23/6.71 528[label="xy300 == xy4000",fontsize=16,color="magenta"];528 -> 673[label="",style="dashed", color="magenta", weight=3]; 17.23/6.71 528 -> 674[label="",style="dashed", color="magenta", weight=3]; 17.23/6.71 529 -> 374[label="",style="dashed", color="red", weight=0]; 17.23/6.71 529[label="xy300 == xy4000",fontsize=16,color="magenta"];529 -> 675[label="",style="dashed", color="magenta", weight=3]; 17.23/6.71 529 -> 676[label="",style="dashed", color="magenta", weight=3]; 17.23/6.71 530 -> 375[label="",style="dashed", color="red", weight=0]; 17.23/6.71 530[label="xy300 == xy4000",fontsize=16,color="magenta"];530 -> 677[label="",style="dashed", color="magenta", weight=3]; 17.23/6.71 530 -> 678[label="",style="dashed", color="magenta", weight=3]; 17.23/6.71 531 -> 365[label="",style="dashed", color="red", weight=0]; 17.23/6.71 531[label="xy300 == xy4000",fontsize=16,color="magenta"];531 -> 679[label="",style="dashed", color="magenta", weight=3]; 17.23/6.71 531 -> 680[label="",style="dashed", color="magenta", weight=3]; 17.23/6.71 532 -> 377[label="",style="dashed", color="red", weight=0]; 17.23/6.71 532[label="xy300 == xy4000",fontsize=16,color="magenta"];532 -> 681[label="",style="dashed", color="magenta", weight=3]; 17.23/6.71 532 -> 682[label="",style="dashed", color="magenta", weight=3]; 17.23/6.71 533 -> 378[label="",style="dashed", color="red", weight=0]; 17.23/6.71 533[label="xy300 == xy4000",fontsize=16,color="magenta"];533 -> 683[label="",style="dashed", color="magenta", weight=3]; 17.23/6.71 533 -> 684[label="",style="dashed", color="magenta", weight=3]; 17.23/6.71 534 -> 379[label="",style="dashed", color="red", weight=0]; 17.23/6.71 534[label="xy300 == xy4000",fontsize=16,color="magenta"];534 -> 685[label="",style="dashed", color="magenta", weight=3]; 17.23/6.71 534 -> 686[label="",style="dashed", color="magenta", weight=3]; 17.23/6.71 535 -> 380[label="",style="dashed", color="red", weight=0]; 17.23/6.71 535[label="xy300 == xy4000",fontsize=16,color="magenta"];535 -> 687[label="",style="dashed", color="magenta", weight=3]; 17.23/6.71 535 -> 688[label="",style="dashed", color="magenta", weight=3]; 17.23/6.71 536 -> 381[label="",style="dashed", color="red", weight=0]; 17.23/6.71 536[label="xy300 == xy4000",fontsize=16,color="magenta"];536 -> 689[label="",style="dashed", color="magenta", weight=3]; 17.23/6.71 536 -> 690[label="",style="dashed", color="magenta", weight=3]; 17.23/6.71 537[label="xy300",fontsize=16,color="green",shape="box"];538[label="xy4000",fontsize=16,color="green",shape="box"];539[label="xy300 == xy4000",fontsize=16,color="blue",shape="box"];1188[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];539 -> 1188[label="",style="solid", color="blue", weight=9]; 17.23/6.71 1188 -> 691[label="",style="solid", color="blue", weight=3]; 17.23/6.71 1189[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];539 -> 1189[label="",style="solid", color="blue", weight=9]; 17.23/6.71 1189 -> 692[label="",style="solid", color="blue", weight=3]; 17.23/6.71 540[label="xy301 == xy4001",fontsize=16,color="blue",shape="box"];1190[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];540 -> 1190[label="",style="solid", color="blue", weight=9]; 17.23/6.71 1190 -> 693[label="",style="solid", color="blue", weight=3]; 17.23/6.71 1191[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];540 -> 1191[label="",style="solid", color="blue", weight=9]; 17.23/6.71 1191 -> 694[label="",style="solid", color="blue", weight=3]; 17.23/6.71 541[label="xy300 == xy4000",fontsize=16,color="blue",shape="box"];1192[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];541 -> 1192[label="",style="solid", color="blue", weight=9]; 17.23/6.71 1192 -> 695[label="",style="solid", color="blue", weight=3]; 17.23/6.71 1193[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];541 -> 1193[label="",style="solid", color="blue", weight=9]; 17.23/6.71 1193 -> 696[label="",style="solid", color="blue", weight=3]; 17.23/6.71 1194[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];541 -> 1194[label="",style="solid", color="blue", weight=9]; 17.23/6.71 1194 -> 697[label="",style="solid", color="blue", weight=3]; 17.23/6.71 1195[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];541 -> 1195[label="",style="solid", color="blue", weight=9]; 17.23/6.71 1195 -> 698[label="",style="solid", color="blue", weight=3]; 17.23/6.71 1196[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];541 -> 1196[label="",style="solid", color="blue", weight=9]; 17.23/6.71 1196 -> 699[label="",style="solid", color="blue", weight=3]; 17.23/6.71 1197[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];541 -> 1197[label="",style="solid", color="blue", weight=9]; 17.23/6.71 1197 -> 700[label="",style="solid", color="blue", weight=3]; 17.23/6.71 1198[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];541 -> 1198[label="",style="solid", color="blue", weight=9]; 17.23/6.71 1198 -> 701[label="",style="solid", color="blue", weight=3]; 17.23/6.71 1199[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];541 -> 1199[label="",style="solid", color="blue", weight=9]; 17.23/6.71 1199 -> 702[label="",style="solid", color="blue", weight=3]; 17.23/6.71 1200[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];541 -> 1200[label="",style="solid", color="blue", weight=9]; 17.23/6.71 1200 -> 703[label="",style="solid", color="blue", weight=3]; 17.23/6.71 1201[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];541 -> 1201[label="",style="solid", color="blue", weight=9]; 17.23/6.71 1201 -> 704[label="",style="solid", color="blue", weight=3]; 17.23/6.71 1202[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];541 -> 1202[label="",style="solid", color="blue", weight=9]; 17.23/6.71 1202 -> 705[label="",style="solid", color="blue", weight=3]; 17.23/6.71 1203[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];541 -> 1203[label="",style="solid", color="blue", weight=9]; 17.23/6.71 1203 -> 706[label="",style="solid", color="blue", weight=3]; 17.23/6.71 1204[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];541 -> 1204[label="",style="solid", color="blue", weight=9]; 17.23/6.71 1204 -> 707[label="",style="solid", color="blue", weight=3]; 17.23/6.71 1205[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];541 -> 1205[label="",style="solid", color="blue", weight=9]; 17.23/6.71 1205 -> 708[label="",style="solid", color="blue", weight=3]; 17.23/6.71 542 -> 363[label="",style="dashed", color="red", weight=0]; 17.23/6.71 542[label="xy301 == xy4001 && xy302 == xy4002",fontsize=16,color="magenta"];542 -> 709[label="",style="dashed", color="magenta", weight=3]; 17.23/6.71 542 -> 710[label="",style="dashed", color="magenta", weight=3]; 17.23/6.71 543 -> 368[label="",style="dashed", color="red", weight=0]; 17.23/6.71 543[label="xy310 == xy4010",fontsize=16,color="magenta"];543 -> 711[label="",style="dashed", color="magenta", weight=3]; 17.23/6.71 543 -> 712[label="",style="dashed", color="magenta", weight=3]; 17.23/6.71 544 -> 369[label="",style="dashed", color="red", weight=0]; 17.23/6.71 544[label="xy310 == xy4010",fontsize=16,color="magenta"];544 -> 713[label="",style="dashed", color="magenta", weight=3]; 17.23/6.71 544 -> 714[label="",style="dashed", color="magenta", weight=3]; 17.23/6.71 545 -> 370[label="",style="dashed", color="red", weight=0]; 17.23/6.71 545[label="xy310 == xy4010",fontsize=16,color="magenta"];545 -> 715[label="",style="dashed", color="magenta", weight=3]; 17.23/6.71 545 -> 716[label="",style="dashed", color="magenta", weight=3]; 17.23/6.71 546 -> 371[label="",style="dashed", color="red", weight=0]; 17.23/6.71 546[label="xy310 == xy4010",fontsize=16,color="magenta"];546 -> 717[label="",style="dashed", color="magenta", weight=3]; 17.23/6.71 546 -> 718[label="",style="dashed", color="magenta", weight=3]; 17.23/6.71 547 -> 372[label="",style="dashed", color="red", weight=0]; 17.23/6.71 547[label="xy310 == xy4010",fontsize=16,color="magenta"];547 -> 719[label="",style="dashed", color="magenta", weight=3]; 17.23/6.71 547 -> 720[label="",style="dashed", color="magenta", weight=3]; 17.23/6.71 548 -> 373[label="",style="dashed", color="red", weight=0]; 17.23/6.71 548[label="xy310 == xy4010",fontsize=16,color="magenta"];548 -> 721[label="",style="dashed", color="magenta", weight=3]; 17.23/6.71 548 -> 722[label="",style="dashed", color="magenta", weight=3]; 17.23/6.71 549 -> 374[label="",style="dashed", color="red", weight=0]; 17.23/6.71 549[label="xy310 == xy4010",fontsize=16,color="magenta"];549 -> 723[label="",style="dashed", color="magenta", weight=3]; 17.23/6.71 549 -> 724[label="",style="dashed", color="magenta", weight=3]; 17.23/6.71 550 -> 375[label="",style="dashed", color="red", weight=0]; 17.23/6.71 550[label="xy310 == xy4010",fontsize=16,color="magenta"];550 -> 725[label="",style="dashed", color="magenta", weight=3]; 17.23/6.71 550 -> 726[label="",style="dashed", color="magenta", weight=3]; 17.23/6.71 551 -> 365[label="",style="dashed", color="red", weight=0]; 17.23/6.71 551[label="xy310 == xy4010",fontsize=16,color="magenta"];551 -> 727[label="",style="dashed", color="magenta", weight=3]; 17.23/6.71 551 -> 728[label="",style="dashed", color="magenta", weight=3]; 17.23/6.71 552 -> 377[label="",style="dashed", color="red", weight=0]; 17.23/6.71 552[label="xy310 == xy4010",fontsize=16,color="magenta"];552 -> 729[label="",style="dashed", color="magenta", weight=3]; 17.23/6.71 552 -> 730[label="",style="dashed", color="magenta", weight=3]; 17.23/6.71 553 -> 378[label="",style="dashed", color="red", weight=0]; 17.23/6.71 553[label="xy310 == xy4010",fontsize=16,color="magenta"];553 -> 731[label="",style="dashed", color="magenta", weight=3]; 17.23/6.71 553 -> 732[label="",style="dashed", color="magenta", weight=3]; 17.23/6.71 554 -> 379[label="",style="dashed", color="red", weight=0]; 17.23/6.71 554[label="xy310 == xy4010",fontsize=16,color="magenta"];554 -> 733[label="",style="dashed", color="magenta", weight=3]; 17.23/6.71 554 -> 734[label="",style="dashed", color="magenta", weight=3]; 17.23/6.71 555 -> 380[label="",style="dashed", color="red", weight=0]; 17.23/6.71 555[label="xy310 == xy4010",fontsize=16,color="magenta"];555 -> 735[label="",style="dashed", color="magenta", weight=3]; 17.23/6.71 555 -> 736[label="",style="dashed", color="magenta", weight=3]; 17.23/6.71 556 -> 381[label="",style="dashed", color="red", weight=0]; 17.23/6.71 556[label="xy310 == xy4010",fontsize=16,color="magenta"];556 -> 737[label="",style="dashed", color="magenta", weight=3]; 17.23/6.71 556 -> 738[label="",style="dashed", color="magenta", weight=3]; 17.23/6.71 557[label="xy311",fontsize=16,color="green",shape="box"];558[label="xy4011",fontsize=16,color="green",shape="box"];559[label="xy300 * xy4001",fontsize=16,color="black",shape="triangle"];559 -> 739[label="",style="solid", color="black", weight=3]; 17.23/6.71 560 -> 559[label="",style="dashed", color="red", weight=0]; 17.23/6.71 560[label="xy301 * xy4000",fontsize=16,color="magenta"];560 -> 740[label="",style="dashed", color="magenta", weight=3]; 17.23/6.71 560 -> 741[label="",style="dashed", color="magenta", weight=3]; 17.23/6.71 561[label="primEqNat (Succ xy3000) xy4000",fontsize=16,color="burlywood",shape="box"];1206[label="xy4000/Succ xy40000",fontsize=10,color="white",style="solid",shape="box"];561 -> 1206[label="",style="solid", color="burlywood", weight=9]; 17.23/6.71 1206 -> 742[label="",style="solid", color="burlywood", weight=3]; 17.23/6.71 1207[label="xy4000/Zero",fontsize=10,color="white",style="solid",shape="box"];561 -> 1207[label="",style="solid", color="burlywood", weight=9]; 17.23/6.71 1207 -> 743[label="",style="solid", color="burlywood", weight=3]; 17.23/6.71 562[label="primEqNat Zero xy4000",fontsize=16,color="burlywood",shape="box"];1208[label="xy4000/Succ xy40000",fontsize=10,color="white",style="solid",shape="box"];562 -> 1208[label="",style="solid", color="burlywood", weight=9]; 17.23/6.71 1208 -> 744[label="",style="solid", color="burlywood", weight=3]; 17.23/6.71 1209[label="xy4000/Zero",fontsize=10,color="white",style="solid",shape="box"];562 -> 1209[label="",style="solid", color="burlywood", weight=9]; 17.23/6.71 1209 -> 745[label="",style="solid", color="burlywood", weight=3]; 17.23/6.71 563 -> 368[label="",style="dashed", color="red", weight=0]; 17.23/6.71 563[label="xy300 == xy4000",fontsize=16,color="magenta"];563 -> 746[label="",style="dashed", color="magenta", weight=3]; 17.23/6.71 563 -> 747[label="",style="dashed", color="magenta", weight=3]; 17.23/6.71 564 -> 369[label="",style="dashed", color="red", weight=0]; 17.23/6.71 564[label="xy300 == xy4000",fontsize=16,color="magenta"];564 -> 748[label="",style="dashed", color="magenta", weight=3]; 17.23/6.71 564 -> 749[label="",style="dashed", color="magenta", weight=3]; 17.23/6.71 565 -> 370[label="",style="dashed", color="red", weight=0]; 17.23/6.71 565[label="xy300 == xy4000",fontsize=16,color="magenta"];565 -> 750[label="",style="dashed", color="magenta", weight=3]; 17.23/6.71 565 -> 751[label="",style="dashed", color="magenta", weight=3]; 17.23/6.71 566 -> 371[label="",style="dashed", color="red", weight=0]; 17.23/6.71 566[label="xy300 == xy4000",fontsize=16,color="magenta"];566 -> 752[label="",style="dashed", color="magenta", weight=3]; 17.23/6.71 566 -> 753[label="",style="dashed", color="magenta", weight=3]; 17.23/6.71 567 -> 372[label="",style="dashed", color="red", weight=0]; 17.23/6.71 567[label="xy300 == xy4000",fontsize=16,color="magenta"];567 -> 754[label="",style="dashed", color="magenta", weight=3]; 17.23/6.71 567 -> 755[label="",style="dashed", color="magenta", weight=3]; 17.23/6.71 568 -> 373[label="",style="dashed", color="red", weight=0]; 17.23/6.71 568[label="xy300 == xy4000",fontsize=16,color="magenta"];568 -> 756[label="",style="dashed", color="magenta", weight=3]; 17.23/6.71 568 -> 757[label="",style="dashed", color="magenta", weight=3]; 17.23/6.71 569 -> 374[label="",style="dashed", color="red", weight=0]; 17.23/6.71 569[label="xy300 == xy4000",fontsize=16,color="magenta"];569 -> 758[label="",style="dashed", color="magenta", weight=3]; 17.23/6.71 569 -> 759[label="",style="dashed", color="magenta", weight=3]; 17.23/6.71 570 -> 375[label="",style="dashed", color="red", weight=0]; 17.23/6.71 570[label="xy300 == xy4000",fontsize=16,color="magenta"];570 -> 760[label="",style="dashed", color="magenta", weight=3]; 17.23/6.71 570 -> 761[label="",style="dashed", color="magenta", weight=3]; 17.23/6.71 571 -> 365[label="",style="dashed", color="red", weight=0]; 17.23/6.71 571[label="xy300 == xy4000",fontsize=16,color="magenta"];571 -> 762[label="",style="dashed", color="magenta", weight=3]; 17.23/6.71 571 -> 763[label="",style="dashed", color="magenta", weight=3]; 17.23/6.71 572 -> 377[label="",style="dashed", color="red", weight=0]; 17.23/6.71 572[label="xy300 == xy4000",fontsize=16,color="magenta"];572 -> 764[label="",style="dashed", color="magenta", weight=3]; 17.23/6.71 572 -> 765[label="",style="dashed", color="magenta", weight=3]; 17.23/6.71 573 -> 378[label="",style="dashed", color="red", weight=0]; 17.23/6.71 573[label="xy300 == xy4000",fontsize=16,color="magenta"];573 -> 766[label="",style="dashed", color="magenta", weight=3]; 17.23/6.71 573 -> 767[label="",style="dashed", color="magenta", weight=3]; 17.23/6.71 574 -> 379[label="",style="dashed", color="red", weight=0]; 17.23/6.71 574[label="xy300 == xy4000",fontsize=16,color="magenta"];574 -> 768[label="",style="dashed", color="magenta", weight=3]; 17.23/6.71 574 -> 769[label="",style="dashed", color="magenta", weight=3]; 17.23/6.71 575 -> 380[label="",style="dashed", color="red", weight=0]; 17.23/6.71 575[label="xy300 == xy4000",fontsize=16,color="magenta"];575 -> 770[label="",style="dashed", color="magenta", weight=3]; 17.23/6.71 575 -> 771[label="",style="dashed", color="magenta", weight=3]; 17.23/6.71 576 -> 381[label="",style="dashed", color="red", weight=0]; 17.23/6.71 576[label="xy300 == xy4000",fontsize=16,color="magenta"];576 -> 772[label="",style="dashed", color="magenta", weight=3]; 17.23/6.71 576 -> 773[label="",style="dashed", color="magenta", weight=3]; 17.23/6.71 577 -> 368[label="",style="dashed", color="red", weight=0]; 17.23/6.71 577[label="xy301 == xy4001",fontsize=16,color="magenta"];577 -> 774[label="",style="dashed", color="magenta", weight=3]; 17.23/6.71 577 -> 775[label="",style="dashed", color="magenta", weight=3]; 17.23/6.71 578 -> 369[label="",style="dashed", color="red", weight=0]; 17.23/6.71 578[label="xy301 == xy4001",fontsize=16,color="magenta"];578 -> 776[label="",style="dashed", color="magenta", weight=3]; 17.23/6.71 578 -> 777[label="",style="dashed", color="magenta", weight=3]; 17.23/6.71 579 -> 370[label="",style="dashed", color="red", weight=0]; 17.23/6.71 579[label="xy301 == xy4001",fontsize=16,color="magenta"];579 -> 778[label="",style="dashed", color="magenta", weight=3]; 17.23/6.71 579 -> 779[label="",style="dashed", color="magenta", weight=3]; 17.23/6.71 580 -> 371[label="",style="dashed", color="red", weight=0]; 17.23/6.71 580[label="xy301 == xy4001",fontsize=16,color="magenta"];580 -> 780[label="",style="dashed", color="magenta", weight=3]; 17.23/6.71 580 -> 781[label="",style="dashed", color="magenta", weight=3]; 17.23/6.71 581 -> 372[label="",style="dashed", color="red", weight=0]; 17.23/6.71 581[label="xy301 == xy4001",fontsize=16,color="magenta"];581 -> 782[label="",style="dashed", color="magenta", weight=3]; 17.23/6.71 581 -> 783[label="",style="dashed", color="magenta", weight=3]; 17.23/6.71 582 -> 373[label="",style="dashed", color="red", weight=0]; 17.23/6.71 582[label="xy301 == xy4001",fontsize=16,color="magenta"];582 -> 784[label="",style="dashed", color="magenta", weight=3]; 17.23/6.71 582 -> 785[label="",style="dashed", color="magenta", weight=3]; 17.23/6.71 583 -> 374[label="",style="dashed", color="red", weight=0]; 17.23/6.71 583[label="xy301 == xy4001",fontsize=16,color="magenta"];583 -> 786[label="",style="dashed", color="magenta", weight=3]; 17.23/6.71 583 -> 787[label="",style="dashed", color="magenta", weight=3]; 17.23/6.71 584 -> 375[label="",style="dashed", color="red", weight=0]; 17.23/6.71 584[label="xy301 == xy4001",fontsize=16,color="magenta"];584 -> 788[label="",style="dashed", color="magenta", weight=3]; 17.23/6.71 584 -> 789[label="",style="dashed", color="magenta", weight=3]; 17.23/6.71 585 -> 365[label="",style="dashed", color="red", weight=0]; 17.23/6.71 585[label="xy301 == xy4001",fontsize=16,color="magenta"];585 -> 790[label="",style="dashed", color="magenta", weight=3]; 17.23/6.71 585 -> 791[label="",style="dashed", color="magenta", weight=3]; 17.23/6.71 586 -> 377[label="",style="dashed", color="red", weight=0]; 17.23/6.71 586[label="xy301 == xy4001",fontsize=16,color="magenta"];586 -> 792[label="",style="dashed", color="magenta", weight=3]; 17.23/6.71 586 -> 793[label="",style="dashed", color="magenta", weight=3]; 17.23/6.71 587 -> 378[label="",style="dashed", color="red", weight=0]; 17.23/6.71 587[label="xy301 == xy4001",fontsize=16,color="magenta"];587 -> 794[label="",style="dashed", color="magenta", weight=3]; 17.23/6.71 587 -> 795[label="",style="dashed", color="magenta", weight=3]; 17.23/6.71 588 -> 379[label="",style="dashed", color="red", weight=0]; 17.23/6.71 588[label="xy301 == xy4001",fontsize=16,color="magenta"];588 -> 796[label="",style="dashed", color="magenta", weight=3]; 17.23/6.71 588 -> 797[label="",style="dashed", color="magenta", weight=3]; 17.23/6.71 589 -> 380[label="",style="dashed", color="red", weight=0]; 17.23/6.71 589[label="xy301 == xy4001",fontsize=16,color="magenta"];589 -> 798[label="",style="dashed", color="magenta", weight=3]; 17.23/6.71 589 -> 799[label="",style="dashed", color="magenta", weight=3]; 17.23/6.71 590 -> 381[label="",style="dashed", color="red", weight=0]; 17.23/6.71 590[label="xy301 == xy4001",fontsize=16,color="magenta"];590 -> 800[label="",style="dashed", color="magenta", weight=3]; 17.23/6.71 590 -> 801[label="",style="dashed", color="magenta", weight=3]; 17.23/6.71 591[label="xy300",fontsize=16,color="green",shape="box"];592[label="xy4000",fontsize=16,color="green",shape="box"];593[label="xy300",fontsize=16,color="green",shape="box"];594[label="xy4000",fontsize=16,color="green",shape="box"];595[label="xy300",fontsize=16,color="green",shape="box"];596[label="xy4000",fontsize=16,color="green",shape="box"];597[label="xy300",fontsize=16,color="green",shape="box"];598[label="xy4000",fontsize=16,color="green",shape="box"];599[label="xy300",fontsize=16,color="green",shape="box"];600[label="xy4000",fontsize=16,color="green",shape="box"];601[label="xy300",fontsize=16,color="green",shape="box"];602[label="xy4000",fontsize=16,color="green",shape="box"];603[label="xy300",fontsize=16,color="green",shape="box"];604[label="xy4000",fontsize=16,color="green",shape="box"];605[label="xy300",fontsize=16,color="green",shape="box"];606[label="xy4000",fontsize=16,color="green",shape="box"];607[label="xy300",fontsize=16,color="green",shape="box"];608[label="xy4000",fontsize=16,color="green",shape="box"];609[label="xy300",fontsize=16,color="green",shape="box"];610[label="xy4000",fontsize=16,color="green",shape="box"];611[label="xy300",fontsize=16,color="green",shape="box"];612[label="xy4000",fontsize=16,color="green",shape="box"];613[label="xy300",fontsize=16,color="green",shape="box"];614[label="xy4000",fontsize=16,color="green",shape="box"];615[label="xy300",fontsize=16,color="green",shape="box"];616[label="xy4000",fontsize=16,color="green",shape="box"];617[label="xy300",fontsize=16,color="green",shape="box"];618[label="xy4000",fontsize=16,color="green",shape="box"];619[label="primEqInt 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weight=3]; 17.23/6.71 626[label="False",fontsize=16,color="green",shape="box"];627[label="primEqInt (Neg (Succ xy3000)) (Neg (Succ xy40000))",fontsize=16,color="black",shape="box"];627 -> 808[label="",style="solid", color="black", weight=3]; 17.23/6.71 628[label="primEqInt (Neg (Succ xy3000)) (Neg Zero)",fontsize=16,color="black",shape="box"];628 -> 809[label="",style="solid", color="black", weight=3]; 17.23/6.71 629[label="primEqInt (Neg Zero) (Pos (Succ xy40000))",fontsize=16,color="black",shape="box"];629 -> 810[label="",style="solid", color="black", weight=3]; 17.23/6.71 630[label="primEqInt (Neg Zero) (Pos Zero)",fontsize=16,color="black",shape="box"];630 -> 811[label="",style="solid", color="black", weight=3]; 17.23/6.71 631[label="primEqInt (Neg Zero) (Neg (Succ xy40000))",fontsize=16,color="black",shape="box"];631 -> 812[label="",style="solid", color="black", weight=3]; 17.23/6.71 632[label="primEqInt (Neg Zero) (Neg Zero)",fontsize=16,color="black",shape="box"];632 -> 813[label="",style="solid", color="black", weight=3]; 17.23/6.71 633 -> 559[label="",style="dashed", color="red", weight=0]; 17.23/6.71 633[label="xy300 * xy4001",fontsize=16,color="magenta"];633 -> 814[label="",style="dashed", color="magenta", weight=3]; 17.23/6.71 633 -> 815[label="",style="dashed", color="magenta", weight=3]; 17.23/6.71 634 -> 559[label="",style="dashed", color="red", weight=0]; 17.23/6.71 634[label="xy301 * xy4000",fontsize=16,color="magenta"];634 -> 816[label="",style="dashed", color="magenta", weight=3]; 17.23/6.71 634 -> 817[label="",style="dashed", color="magenta", weight=3]; 17.23/6.71 635[label="xy300",fontsize=16,color="green",shape="box"];636[label="xy4000",fontsize=16,color="green",shape="box"];637[label="xy300",fontsize=16,color="green",shape="box"];638[label="xy4000",fontsize=16,color="green",shape="box"];639[label="xy300",fontsize=16,color="green",shape="box"];640[label="xy4000",fontsize=16,color="green",shape="box"];641[label="xy300",fontsize=16,color="green",shape="box"];642[label="xy4000",fontsize=16,color="green",shape="box"];643[label="xy300",fontsize=16,color="green",shape="box"];644[label="xy4000",fontsize=16,color="green",shape="box"];645[label="xy300",fontsize=16,color="green",shape="box"];646[label="xy4000",fontsize=16,color="green",shape="box"];647[label="xy300",fontsize=16,color="green",shape="box"];648[label="xy4000",fontsize=16,color="green",shape="box"];649[label="xy300",fontsize=16,color="green",shape="box"];650[label="xy4000",fontsize=16,color="green",shape="box"];651[label="xy300",fontsize=16,color="green",shape="box"];652[label="xy4000",fontsize=16,color="green",shape="box"];653[label="xy300",fontsize=16,color="green",shape="box"];654[label="xy4000",fontsize=16,color="green",shape="box"];655[label="xy300",fontsize=16,color="green",shape="box"];656[label="xy4000",fontsize=16,color="green",shape="box"];657[label="xy300",fontsize=16,color="green",shape="box"];658[label="xy4000",fontsize=16,color="green",shape="box"];659[label="xy300",fontsize=16,color="green",shape="box"];660[label="xy4000",fontsize=16,color="green",shape="box"];661[label="xy300",fontsize=16,color="green",shape="box"];662[label="xy4000",fontsize=16,color="green",shape="box"];663[label="xy300",fontsize=16,color="green",shape="box"];664[label="xy4000",fontsize=16,color="green",shape="box"];665[label="xy300",fontsize=16,color="green",shape="box"];666[label="xy4000",fontsize=16,color="green",shape="box"];667[label="xy300",fontsize=16,color="green",shape="box"];668[label="xy4000",fontsize=16,color="green",shape="box"];669[label="xy300",fontsize=16,color="green",shape="box"];670[label="xy4000",fontsize=16,color="green",shape="box"];671[label="xy300",fontsize=16,color="green",shape="box"];672[label="xy4000",fontsize=16,color="green",shape="box"];673[label="xy300",fontsize=16,color="green",shape="box"];674[label="xy4000",fontsize=16,color="green",shape="box"];675[label="xy300",fontsize=16,color="green",shape="box"];676[label="xy4000",fontsize=16,color="green",shape="box"];677[label="xy300",fontsize=16,color="green",shape="box"];678[label="xy4000",fontsize=16,color="green",shape="box"];679[label="xy300",fontsize=16,color="green",shape="box"];680[label="xy4000",fontsize=16,color="green",shape="box"];681[label="xy300",fontsize=16,color="green",shape="box"];682[label="xy4000",fontsize=16,color="green",shape="box"];683[label="xy300",fontsize=16,color="green",shape="box"];684[label="xy4000",fontsize=16,color="green",shape="box"];685[label="xy300",fontsize=16,color="green",shape="box"];686[label="xy4000",fontsize=16,color="green",shape="box"];687[label="xy300",fontsize=16,color="green",shape="box"];688[label="xy4000",fontsize=16,color="green",shape="box"];689[label="xy300",fontsize=16,color="green",shape="box"];690[label="xy4000",fontsize=16,color="green",shape="box"];691 -> 372[label="",style="dashed", color="red", weight=0]; 17.23/6.71 691[label="xy300 == xy4000",fontsize=16,color="magenta"];691 -> 818[label="",style="dashed", color="magenta", weight=3]; 17.23/6.71 691 -> 819[label="",style="dashed", color="magenta", weight=3]; 17.23/6.71 692 -> 377[label="",style="dashed", color="red", weight=0]; 17.23/6.71 692[label="xy300 == xy4000",fontsize=16,color="magenta"];692 -> 820[label="",style="dashed", color="magenta", weight=3]; 17.23/6.71 692 -> 821[label="",style="dashed", color="magenta", weight=3]; 17.23/6.71 693 -> 372[label="",style="dashed", color="red", weight=0]; 17.23/6.71 693[label="xy301 == xy4001",fontsize=16,color="magenta"];693 -> 822[label="",style="dashed", color="magenta", weight=3]; 17.23/6.71 693 -> 823[label="",style="dashed", color="magenta", weight=3]; 17.23/6.71 694 -> 377[label="",style="dashed", color="red", weight=0]; 17.23/6.71 694[label="xy301 == xy4001",fontsize=16,color="magenta"];694 -> 824[label="",style="dashed", color="magenta", weight=3]; 17.23/6.71 694 -> 825[label="",style="dashed", color="magenta", weight=3]; 17.23/6.71 695 -> 368[label="",style="dashed", color="red", weight=0]; 17.23/6.71 695[label="xy300 == xy4000",fontsize=16,color="magenta"];695 -> 826[label="",style="dashed", color="magenta", weight=3]; 17.23/6.71 695 -> 827[label="",style="dashed", color="magenta", weight=3]; 17.23/6.71 696 -> 369[label="",style="dashed", color="red", weight=0]; 17.23/6.71 696[label="xy300 == xy4000",fontsize=16,color="magenta"];696 -> 828[label="",style="dashed", color="magenta", weight=3]; 17.23/6.71 696 -> 829[label="",style="dashed", color="magenta", weight=3]; 17.23/6.71 697 -> 370[label="",style="dashed", color="red", weight=0]; 17.23/6.71 697[label="xy300 == xy4000",fontsize=16,color="magenta"];697 -> 830[label="",style="dashed", color="magenta", weight=3]; 17.23/6.71 697 -> 831[label="",style="dashed", color="magenta", weight=3]; 17.23/6.71 698 -> 371[label="",style="dashed", color="red", weight=0]; 17.23/6.71 698[label="xy300 == xy4000",fontsize=16,color="magenta"];698 -> 832[label="",style="dashed", color="magenta", weight=3]; 17.23/6.71 698 -> 833[label="",style="dashed", color="magenta", weight=3]; 17.23/6.71 699 -> 372[label="",style="dashed", color="red", weight=0]; 17.23/6.71 699[label="xy300 == xy4000",fontsize=16,color="magenta"];699 -> 834[label="",style="dashed", color="magenta", weight=3]; 17.23/6.71 699 -> 835[label="",style="dashed", color="magenta", weight=3]; 17.23/6.71 700 -> 373[label="",style="dashed", color="red", weight=0]; 17.23/6.71 700[label="xy300 == xy4000",fontsize=16,color="magenta"];700 -> 836[label="",style="dashed", color="magenta", weight=3]; 17.23/6.71 700 -> 837[label="",style="dashed", color="magenta", weight=3]; 17.23/6.71 701 -> 374[label="",style="dashed", color="red", weight=0]; 17.23/6.71 701[label="xy300 == xy4000",fontsize=16,color="magenta"];701 -> 838[label="",style="dashed", color="magenta", weight=3]; 17.23/6.71 701 -> 839[label="",style="dashed", color="magenta", weight=3]; 17.23/6.71 702 -> 375[label="",style="dashed", color="red", weight=0]; 17.23/6.71 702[label="xy300 == xy4000",fontsize=16,color="magenta"];702 -> 840[label="",style="dashed", color="magenta", weight=3]; 17.23/6.71 702 -> 841[label="",style="dashed", color="magenta", weight=3]; 17.23/6.71 703 -> 365[label="",style="dashed", color="red", weight=0]; 17.23/6.71 703[label="xy300 == xy4000",fontsize=16,color="magenta"];703 -> 842[label="",style="dashed", color="magenta", weight=3]; 17.23/6.71 703 -> 843[label="",style="dashed", color="magenta", weight=3]; 17.23/6.71 704 -> 377[label="",style="dashed", color="red", weight=0]; 17.23/6.71 704[label="xy300 == xy4000",fontsize=16,color="magenta"];704 -> 844[label="",style="dashed", color="magenta", weight=3]; 17.23/6.71 704 -> 845[label="",style="dashed", color="magenta", weight=3]; 17.23/6.71 705 -> 378[label="",style="dashed", color="red", weight=0]; 17.23/6.71 705[label="xy300 == xy4000",fontsize=16,color="magenta"];705 -> 846[label="",style="dashed", color="magenta", weight=3]; 17.23/6.71 705 -> 847[label="",style="dashed", color="magenta", weight=3]; 17.23/6.71 706 -> 379[label="",style="dashed", color="red", weight=0]; 17.23/6.71 706[label="xy300 == xy4000",fontsize=16,color="magenta"];706 -> 848[label="",style="dashed", color="magenta", weight=3]; 17.23/6.71 706 -> 849[label="",style="dashed", color="magenta", weight=3]; 17.23/6.71 707 -> 380[label="",style="dashed", color="red", weight=0]; 17.23/6.71 707[label="xy300 == xy4000",fontsize=16,color="magenta"];707 -> 850[label="",style="dashed", color="magenta", weight=3]; 17.23/6.71 707 -> 851[label="",style="dashed", color="magenta", weight=3]; 17.23/6.71 708 -> 381[label="",style="dashed", color="red", weight=0]; 17.23/6.71 708[label="xy300 == xy4000",fontsize=16,color="magenta"];708 -> 852[label="",style="dashed", color="magenta", weight=3]; 17.23/6.71 708 -> 853[label="",style="dashed", color="magenta", weight=3]; 17.23/6.71 709[label="xy301 == xy4001",fontsize=16,color="blue",shape="box"];1210[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];709 -> 1210[label="",style="solid", color="blue", weight=9]; 17.23/6.71 1210 -> 854[label="",style="solid", color="blue", weight=3]; 17.23/6.71 1211[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];709 -> 1211[label="",style="solid", color="blue", weight=9]; 17.23/6.71 1211 -> 855[label="",style="solid", color="blue", weight=3]; 17.23/6.71 1212[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];709 -> 1212[label="",style="solid", color="blue", weight=9]; 17.23/6.71 1212 -> 856[label="",style="solid", color="blue", weight=3]; 17.23/6.71 1213[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];709 -> 1213[label="",style="solid", color="blue", weight=9]; 17.23/6.71 1213 -> 857[label="",style="solid", color="blue", weight=3]; 17.23/6.71 1214[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];709 -> 1214[label="",style="solid", color="blue", weight=9]; 17.23/6.71 1214 -> 858[label="",style="solid", color="blue", weight=3]; 17.23/6.71 1215[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];709 -> 1215[label="",style="solid", color="blue", weight=9]; 17.23/6.71 1215 -> 859[label="",style="solid", color="blue", weight=3]; 17.23/6.71 1216[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];709 -> 1216[label="",style="solid", color="blue", weight=9]; 17.23/6.71 1216 -> 860[label="",style="solid", color="blue", weight=3]; 17.23/6.71 1217[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];709 -> 1217[label="",style="solid", color="blue", weight=9]; 17.23/6.71 1217 -> 861[label="",style="solid", color="blue", weight=3]; 17.23/6.71 1218[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];709 -> 1218[label="",style="solid", color="blue", weight=9]; 17.23/6.71 1218 -> 862[label="",style="solid", color="blue", weight=3]; 17.23/6.71 1219[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];709 -> 1219[label="",style="solid", color="blue", weight=9]; 17.23/6.71 1219 -> 863[label="",style="solid", color="blue", weight=3]; 17.23/6.71 1220[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];709 -> 1220[label="",style="solid", color="blue", weight=9]; 17.23/6.71 1220 -> 864[label="",style="solid", color="blue", weight=3]; 17.23/6.71 1221[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];709 -> 1221[label="",style="solid", color="blue", weight=9]; 17.23/6.71 1221 -> 865[label="",style="solid", color="blue", weight=3]; 17.23/6.71 1222[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];709 -> 1222[label="",style="solid", color="blue", weight=9]; 17.23/6.71 1222 -> 866[label="",style="solid", color="blue", weight=3]; 17.23/6.71 1223[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];709 -> 1223[label="",style="solid", color="blue", weight=9]; 17.23/6.71 1223 -> 867[label="",style="solid", color="blue", weight=3]; 17.23/6.71 710[label="xy302 == xy4002",fontsize=16,color="blue",shape="box"];1224[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];710 -> 1224[label="",style="solid", color="blue", weight=9]; 17.23/6.71 1224 -> 868[label="",style="solid", color="blue", weight=3]; 17.23/6.71 1225[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];710 -> 1225[label="",style="solid", color="blue", weight=9]; 17.23/6.71 1225 -> 869[label="",style="solid", color="blue", weight=3]; 17.23/6.71 1226[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];710 -> 1226[label="",style="solid", color="blue", weight=9]; 17.23/6.71 1226 -> 870[label="",style="solid", color="blue", weight=3]; 17.23/6.71 1227[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];710 -> 1227[label="",style="solid", color="blue", weight=9]; 17.23/6.71 1227 -> 871[label="",style="solid", color="blue", weight=3]; 17.23/6.71 1228[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];710 -> 1228[label="",style="solid", color="blue", weight=9]; 17.23/6.71 1228 -> 872[label="",style="solid", color="blue", weight=3]; 17.23/6.71 1229[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];710 -> 1229[label="",style="solid", color="blue", weight=9]; 17.23/6.71 1229 -> 873[label="",style="solid", color="blue", weight=3]; 17.23/6.71 1230[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];710 -> 1230[label="",style="solid", color="blue", weight=9]; 17.23/6.71 1230 -> 874[label="",style="solid", color="blue", weight=3]; 17.23/6.71 1231[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];710 -> 1231[label="",style="solid", color="blue", weight=9]; 17.23/6.71 1231 -> 875[label="",style="solid", color="blue", weight=3]; 17.23/6.71 1232[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];710 -> 1232[label="",style="solid", color="blue", weight=9]; 17.23/6.71 1232 -> 876[label="",style="solid", color="blue", weight=3]; 17.23/6.71 1233[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];710 -> 1233[label="",style="solid", color="blue", weight=9]; 17.23/6.71 1233 -> 877[label="",style="solid", color="blue", weight=3]; 17.23/6.71 1234[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];710 -> 1234[label="",style="solid", color="blue", weight=9]; 17.23/6.71 1234 -> 878[label="",style="solid", color="blue", weight=3]; 17.23/6.71 1235[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];710 -> 1235[label="",style="solid", color="blue", weight=9]; 17.23/6.71 1235 -> 879[label="",style="solid", color="blue", weight=3]; 17.23/6.71 1236[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];710 -> 1236[label="",style="solid", color="blue", weight=9]; 17.23/6.71 1236 -> 880[label="",style="solid", color="blue", weight=3]; 17.23/6.71 1237[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];710 -> 1237[label="",style="solid", color="blue", weight=9]; 17.23/6.71 1237 -> 881[label="",style="solid", color="blue", weight=3]; 17.23/6.71 711[label="xy310",fontsize=16,color="green",shape="box"];712[label="xy4010",fontsize=16,color="green",shape="box"];713[label="xy310",fontsize=16,color="green",shape="box"];714[label="xy4010",fontsize=16,color="green",shape="box"];715[label="xy310",fontsize=16,color="green",shape="box"];716[label="xy4010",fontsize=16,color="green",shape="box"];717[label="xy310",fontsize=16,color="green",shape="box"];718[label="xy4010",fontsize=16,color="green",shape="box"];719[label="xy310",fontsize=16,color="green",shape="box"];720[label="xy4010",fontsize=16,color="green",shape="box"];721[label="xy310",fontsize=16,color="green",shape="box"];722[label="xy4010",fontsize=16,color="green",shape="box"];723[label="xy310",fontsize=16,color="green",shape="box"];724[label="xy4010",fontsize=16,color="green",shape="box"];725[label="xy310",fontsize=16,color="green",shape="box"];726[label="xy4010",fontsize=16,color="green",shape="box"];727[label="xy310",fontsize=16,color="green",shape="box"];728[label="xy4010",fontsize=16,color="green",shape="box"];729[label="xy310",fontsize=16,color="green",shape="box"];730[label="xy4010",fontsize=16,color="green",shape="box"];731[label="xy310",fontsize=16,color="green",shape="box"];732[label="xy4010",fontsize=16,color="green",shape="box"];733[label="xy310",fontsize=16,color="green",shape="box"];734[label="xy4010",fontsize=16,color="green",shape="box"];735[label="xy310",fontsize=16,color="green",shape="box"];736[label="xy4010",fontsize=16,color="green",shape="box"];737[label="xy310",fontsize=16,color="green",shape="box"];738[label="xy4010",fontsize=16,color="green",shape="box"];739[label="primMulInt xy300 xy4001",fontsize=16,color="burlywood",shape="box"];1238[label="xy300/Pos xy3000",fontsize=10,color="white",style="solid",shape="box"];739 -> 1238[label="",style="solid", color="burlywood", weight=9]; 17.23/6.71 1238 -> 882[label="",style="solid", color="burlywood", weight=3]; 17.23/6.71 1239[label="xy300/Neg xy3000",fontsize=10,color="white",style="solid",shape="box"];739 -> 1239[label="",style="solid", color="burlywood", weight=9]; 17.23/6.71 1239 -> 883[label="",style="solid", color="burlywood", weight=3]; 17.23/6.71 740[label="xy301",fontsize=16,color="green",shape="box"];741[label="xy4000",fontsize=16,color="green",shape="box"];742[label="primEqNat (Succ xy3000) (Succ xy40000)",fontsize=16,color="black",shape="box"];742 -> 884[label="",style="solid", color="black", weight=3]; 17.23/6.71 743[label="primEqNat (Succ xy3000) Zero",fontsize=16,color="black",shape="box"];743 -> 885[label="",style="solid", color="black", weight=3]; 17.23/6.71 744[label="primEqNat Zero (Succ xy40000)",fontsize=16,color="black",shape="box"];744 -> 886[label="",style="solid", color="black", weight=3]; 17.23/6.71 745[label="primEqNat Zero Zero",fontsize=16,color="black",shape="box"];745 -> 887[label="",style="solid", color="black", weight=3]; 17.23/6.71 746[label="xy300",fontsize=16,color="green",shape="box"];747[label="xy4000",fontsize=16,color="green",shape="box"];748[label="xy300",fontsize=16,color="green",shape="box"];749[label="xy4000",fontsize=16,color="green",shape="box"];750[label="xy300",fontsize=16,color="green",shape="box"];751[label="xy4000",fontsize=16,color="green",shape="box"];752[label="xy300",fontsize=16,color="green",shape="box"];753[label="xy4000",fontsize=16,color="green",shape="box"];754[label="xy300",fontsize=16,color="green",shape="box"];755[label="xy4000",fontsize=16,color="green",shape="box"];756[label="xy300",fontsize=16,color="green",shape="box"];757[label="xy4000",fontsize=16,color="green",shape="box"];758[label="xy300",fontsize=16,color="green",shape="box"];759[label="xy4000",fontsize=16,color="green",shape="box"];760[label="xy300",fontsize=16,color="green",shape="box"];761[label="xy4000",fontsize=16,color="green",shape="box"];762[label="xy300",fontsize=16,color="green",shape="box"];763[label="xy4000",fontsize=16,color="green",shape="box"];764[label="xy300",fontsize=16,color="green",shape="box"];765[label="xy4000",fontsize=16,color="green",shape="box"];766[label="xy300",fontsize=16,color="green",shape="box"];767[label="xy4000",fontsize=16,color="green",shape="box"];768[label="xy300",fontsize=16,color="green",shape="box"];769[label="xy4000",fontsize=16,color="green",shape="box"];770[label="xy300",fontsize=16,color="green",shape="box"];771[label="xy4000",fontsize=16,color="green",shape="box"];772[label="xy300",fontsize=16,color="green",shape="box"];773[label="xy4000",fontsize=16,color="green",shape="box"];774[label="xy301",fontsize=16,color="green",shape="box"];775[label="xy4001",fontsize=16,color="green",shape="box"];776[label="xy301",fontsize=16,color="green",shape="box"];777[label="xy4001",fontsize=16,color="green",shape="box"];778[label="xy301",fontsize=16,color="green",shape="box"];779[label="xy4001",fontsize=16,color="green",shape="box"];780[label="xy301",fontsize=16,color="green",shape="box"];781[label="xy4001",fontsize=16,color="green",shape="box"];782[label="xy301",fontsize=16,color="green",shape="box"];783[label="xy4001",fontsize=16,color="green",shape="box"];784[label="xy301",fontsize=16,color="green",shape="box"];785[label="xy4001",fontsize=16,color="green",shape="box"];786[label="xy301",fontsize=16,color="green",shape="box"];787[label="xy4001",fontsize=16,color="green",shape="box"];788[label="xy301",fontsize=16,color="green",shape="box"];789[label="xy4001",fontsize=16,color="green",shape="box"];790[label="xy301",fontsize=16,color="green",shape="box"];791[label="xy4001",fontsize=16,color="green",shape="box"];792[label="xy301",fontsize=16,color="green",shape="box"];793[label="xy4001",fontsize=16,color="green",shape="box"];794[label="xy301",fontsize=16,color="green",shape="box"];795[label="xy4001",fontsize=16,color="green",shape="box"];796[label="xy301",fontsize=16,color="green",shape="box"];797[label="xy4001",fontsize=16,color="green",shape="box"];798[label="xy301",fontsize=16,color="green",shape="box"];799[label="xy4001",fontsize=16,color="green",shape="box"];800[label="xy301",fontsize=16,color="green",shape="box"];801[label="xy4001",fontsize=16,color="green",shape="box"];802 -> 483[label="",style="dashed", color="red", weight=0]; 17.23/6.71 802[label="primEqNat xy3000 xy40000",fontsize=16,color="magenta"];802 -> 888[label="",style="dashed", color="magenta", weight=3]; 17.23/6.71 802 -> 889[label="",style="dashed", color="magenta", weight=3]; 17.23/6.71 803[label="False",fontsize=16,color="green",shape="box"];804[label="False",fontsize=16,color="green",shape="box"];805[label="True",fontsize=16,color="green",shape="box"];806[label="False",fontsize=16,color="green",shape="box"];807[label="True",fontsize=16,color="green",shape="box"];808 -> 483[label="",style="dashed", color="red", weight=0]; 17.23/6.71 808[label="primEqNat xy3000 xy40000",fontsize=16,color="magenta"];808 -> 890[label="",style="dashed", color="magenta", weight=3]; 17.23/6.71 808 -> 891[label="",style="dashed", color="magenta", weight=3]; 17.23/6.71 809[label="False",fontsize=16,color="green",shape="box"];810[label="False",fontsize=16,color="green",shape="box"];811[label="True",fontsize=16,color="green",shape="box"];812[label="False",fontsize=16,color="green",shape="box"];813[label="True",fontsize=16,color="green",shape="box"];814[label="xy300",fontsize=16,color="green",shape="box"];815[label="xy4001",fontsize=16,color="green",shape="box"];816[label="xy301",fontsize=16,color="green",shape="box"];817[label="xy4000",fontsize=16,color="green",shape="box"];818[label="xy300",fontsize=16,color="green",shape="box"];819[label="xy4000",fontsize=16,color="green",shape="box"];820[label="xy300",fontsize=16,color="green",shape="box"];821[label="xy4000",fontsize=16,color="green",shape="box"];822[label="xy301",fontsize=16,color="green",shape="box"];823[label="xy4001",fontsize=16,color="green",shape="box"];824[label="xy301",fontsize=16,color="green",shape="box"];825[label="xy4001",fontsize=16,color="green",shape="box"];826[label="xy300",fontsize=16,color="green",shape="box"];827[label="xy4000",fontsize=16,color="green",shape="box"];828[label="xy300",fontsize=16,color="green",shape="box"];829[label="xy4000",fontsize=16,color="green",shape="box"];830[label="xy300",fontsize=16,color="green",shape="box"];831[label="xy4000",fontsize=16,color="green",shape="box"];832[label="xy300",fontsize=16,color="green",shape="box"];833[label="xy4000",fontsize=16,color="green",shape="box"];834[label="xy300",fontsize=16,color="green",shape="box"];835[label="xy4000",fontsize=16,color="green",shape="box"];836[label="xy300",fontsize=16,color="green",shape="box"];837[label="xy4000",fontsize=16,color="green",shape="box"];838[label="xy300",fontsize=16,color="green",shape="box"];839[label="xy4000",fontsize=16,color="green",shape="box"];840[label="xy300",fontsize=16,color="green",shape="box"];841[label="xy4000",fontsize=16,color="green",shape="box"];842[label="xy300",fontsize=16,color="green",shape="box"];843[label="xy4000",fontsize=16,color="green",shape="box"];844[label="xy300",fontsize=16,color="green",shape="box"];845[label="xy4000",fontsize=16,color="green",shape="box"];846[label="xy300",fontsize=16,color="green",shape="box"];847[label="xy4000",fontsize=16,color="green",shape="box"];848[label="xy300",fontsize=16,color="green",shape="box"];849[label="xy4000",fontsize=16,color="green",shape="box"];850[label="xy300",fontsize=16,color="green",shape="box"];851[label="xy4000",fontsize=16,color="green",shape="box"];852[label="xy300",fontsize=16,color="green",shape="box"];853[label="xy4000",fontsize=16,color="green",shape="box"];854 -> 368[label="",style="dashed", color="red", weight=0]; 17.23/6.71 854[label="xy301 == xy4001",fontsize=16,color="magenta"];854 -> 892[label="",style="dashed", color="magenta", weight=3]; 17.23/6.71 854 -> 893[label="",style="dashed", color="magenta", weight=3]; 17.23/6.71 855 -> 369[label="",style="dashed", color="red", weight=0]; 17.23/6.71 855[label="xy301 == xy4001",fontsize=16,color="magenta"];855 -> 894[label="",style="dashed", color="magenta", weight=3]; 17.23/6.71 855 -> 895[label="",style="dashed", color="magenta", weight=3]; 17.23/6.71 856 -> 370[label="",style="dashed", color="red", weight=0]; 17.23/6.71 856[label="xy301 == xy4001",fontsize=16,color="magenta"];856 -> 896[label="",style="dashed", color="magenta", weight=3]; 17.23/6.71 856 -> 897[label="",style="dashed", color="magenta", weight=3]; 17.23/6.71 857 -> 371[label="",style="dashed", color="red", weight=0]; 17.23/6.71 857[label="xy301 == xy4001",fontsize=16,color="magenta"];857 -> 898[label="",style="dashed", color="magenta", weight=3]; 17.23/6.71 857 -> 899[label="",style="dashed", color="magenta", weight=3]; 17.23/6.71 858 -> 372[label="",style="dashed", color="red", weight=0]; 17.23/6.71 858[label="xy301 == xy4001",fontsize=16,color="magenta"];858 -> 900[label="",style="dashed", color="magenta", weight=3]; 17.23/6.71 858 -> 901[label="",style="dashed", color="magenta", weight=3]; 17.23/6.71 859 -> 373[label="",style="dashed", color="red", weight=0]; 17.23/6.71 859[label="xy301 == xy4001",fontsize=16,color="magenta"];859 -> 902[label="",style="dashed", color="magenta", weight=3]; 17.23/6.71 859 -> 903[label="",style="dashed", color="magenta", weight=3]; 17.23/6.71 860 -> 374[label="",style="dashed", color="red", weight=0]; 17.23/6.71 860[label="xy301 == xy4001",fontsize=16,color="magenta"];860 -> 904[label="",style="dashed", color="magenta", weight=3]; 17.23/6.71 860 -> 905[label="",style="dashed", color="magenta", weight=3]; 17.23/6.71 861 -> 375[label="",style="dashed", color="red", weight=0]; 17.23/6.71 861[label="xy301 == xy4001",fontsize=16,color="magenta"];861 -> 906[label="",style="dashed", color="magenta", weight=3]; 17.23/6.71 861 -> 907[label="",style="dashed", color="magenta", weight=3]; 17.23/6.71 862 -> 365[label="",style="dashed", color="red", weight=0]; 17.23/6.71 862[label="xy301 == xy4001",fontsize=16,color="magenta"];862 -> 908[label="",style="dashed", color="magenta", weight=3]; 17.23/6.71 862 -> 909[label="",style="dashed", color="magenta", weight=3]; 17.23/6.71 863 -> 377[label="",style="dashed", color="red", weight=0]; 17.23/6.71 863[label="xy301 == xy4001",fontsize=16,color="magenta"];863 -> 910[label="",style="dashed", color="magenta", weight=3]; 17.23/6.71 863 -> 911[label="",style="dashed", color="magenta", weight=3]; 17.23/6.71 864 -> 378[label="",style="dashed", color="red", weight=0]; 17.23/6.71 864[label="xy301 == xy4001",fontsize=16,color="magenta"];864 -> 912[label="",style="dashed", color="magenta", weight=3]; 17.23/6.71 864 -> 913[label="",style="dashed", color="magenta", weight=3]; 17.23/6.71 865 -> 379[label="",style="dashed", color="red", weight=0]; 17.23/6.71 865[label="xy301 == xy4001",fontsize=16,color="magenta"];865 -> 914[label="",style="dashed", color="magenta", weight=3]; 17.23/6.71 865 -> 915[label="",style="dashed", color="magenta", weight=3]; 17.23/6.71 866 -> 380[label="",style="dashed", color="red", weight=0]; 17.23/6.71 866[label="xy301 == xy4001",fontsize=16,color="magenta"];866 -> 916[label="",style="dashed", color="magenta", weight=3]; 17.23/6.71 866 -> 917[label="",style="dashed", color="magenta", weight=3]; 17.23/6.71 867 -> 381[label="",style="dashed", color="red", weight=0]; 17.23/6.71 867[label="xy301 == xy4001",fontsize=16,color="magenta"];867 -> 918[label="",style="dashed", color="magenta", weight=3]; 17.23/6.71 867 -> 919[label="",style="dashed", color="magenta", weight=3]; 17.23/6.71 868 -> 368[label="",style="dashed", color="red", weight=0]; 17.23/6.71 868[label="xy302 == xy4002",fontsize=16,color="magenta"];868 -> 920[label="",style="dashed", color="magenta", weight=3]; 17.23/6.71 868 -> 921[label="",style="dashed", color="magenta", weight=3]; 17.23/6.71 869 -> 369[label="",style="dashed", color="red", weight=0]; 17.23/6.71 869[label="xy302 == xy4002",fontsize=16,color="magenta"];869 -> 922[label="",style="dashed", color="magenta", weight=3]; 17.23/6.71 869 -> 923[label="",style="dashed", color="magenta", weight=3]; 17.23/6.71 870 -> 370[label="",style="dashed", color="red", weight=0]; 17.23/6.71 870[label="xy302 == xy4002",fontsize=16,color="magenta"];870 -> 924[label="",style="dashed", color="magenta", weight=3]; 17.23/6.71 870 -> 925[label="",style="dashed", color="magenta", weight=3]; 17.23/6.71 871 -> 371[label="",style="dashed", color="red", weight=0]; 17.23/6.71 871[label="xy302 == xy4002",fontsize=16,color="magenta"];871 -> 926[label="",style="dashed", color="magenta", weight=3]; 17.23/6.71 871 -> 927[label="",style="dashed", color="magenta", weight=3]; 17.23/6.71 872 -> 372[label="",style="dashed", color="red", weight=0]; 17.23/6.71 872[label="xy302 == xy4002",fontsize=16,color="magenta"];872 -> 928[label="",style="dashed", color="magenta", weight=3]; 17.23/6.71 872 -> 929[label="",style="dashed", color="magenta", weight=3]; 17.23/6.71 873 -> 373[label="",style="dashed", color="red", weight=0]; 17.23/6.71 873[label="xy302 == xy4002",fontsize=16,color="magenta"];873 -> 930[label="",style="dashed", color="magenta", weight=3]; 17.23/6.71 873 -> 931[label="",style="dashed", color="magenta", weight=3]; 17.23/6.71 874 -> 374[label="",style="dashed", color="red", weight=0]; 17.23/6.71 874[label="xy302 == xy4002",fontsize=16,color="magenta"];874 -> 932[label="",style="dashed", color="magenta", weight=3]; 17.23/6.71 874 -> 933[label="",style="dashed", color="magenta", weight=3]; 17.23/6.71 875 -> 375[label="",style="dashed", color="red", weight=0]; 17.23/6.71 875[label="xy302 == xy4002",fontsize=16,color="magenta"];875 -> 934[label="",style="dashed", color="magenta", weight=3]; 17.23/6.71 875 -> 935[label="",style="dashed", color="magenta", weight=3]; 17.23/6.71 876 -> 365[label="",style="dashed", color="red", weight=0]; 17.23/6.71 876[label="xy302 == xy4002",fontsize=16,color="magenta"];876 -> 936[label="",style="dashed", color="magenta", weight=3]; 17.23/6.71 876 -> 937[label="",style="dashed", color="magenta", weight=3]; 17.23/6.71 877 -> 377[label="",style="dashed", color="red", weight=0]; 17.23/6.71 877[label="xy302 == xy4002",fontsize=16,color="magenta"];877 -> 938[label="",style="dashed", color="magenta", weight=3]; 17.23/6.71 877 -> 939[label="",style="dashed", color="magenta", weight=3]; 17.23/6.71 878 -> 378[label="",style="dashed", color="red", weight=0]; 17.23/6.71 878[label="xy302 == xy4002",fontsize=16,color="magenta"];878 -> 940[label="",style="dashed", color="magenta", weight=3]; 17.23/6.71 878 -> 941[label="",style="dashed", color="magenta", weight=3]; 17.23/6.71 879 -> 379[label="",style="dashed", color="red", weight=0]; 17.23/6.71 879[label="xy302 == xy4002",fontsize=16,color="magenta"];879 -> 942[label="",style="dashed", color="magenta", weight=3]; 17.23/6.71 879 -> 943[label="",style="dashed", color="magenta", weight=3]; 17.23/6.71 880 -> 380[label="",style="dashed", color="red", weight=0]; 17.23/6.71 880[label="xy302 == xy4002",fontsize=16,color="magenta"];880 -> 944[label="",style="dashed", color="magenta", weight=3]; 17.23/6.71 880 -> 945[label="",style="dashed", color="magenta", weight=3]; 17.23/6.71 881 -> 381[label="",style="dashed", color="red", weight=0]; 17.23/6.71 881[label="xy302 == xy4002",fontsize=16,color="magenta"];881 -> 946[label="",style="dashed", color="magenta", weight=3]; 17.23/6.71 881 -> 947[label="",style="dashed", color="magenta", weight=3]; 17.23/6.71 882[label="primMulInt (Pos xy3000) xy4001",fontsize=16,color="burlywood",shape="box"];1240[label="xy4001/Pos xy40010",fontsize=10,color="white",style="solid",shape="box"];882 -> 1240[label="",style="solid", color="burlywood", weight=9]; 17.23/6.71 1240 -> 948[label="",style="solid", color="burlywood", weight=3]; 17.23/6.71 1241[label="xy4001/Neg xy40010",fontsize=10,color="white",style="solid",shape="box"];882 -> 1241[label="",style="solid", color="burlywood", weight=9]; 17.23/6.71 1241 -> 949[label="",style="solid", color="burlywood", weight=3]; 17.23/6.71 883[label="primMulInt (Neg xy3000) xy4001",fontsize=16,color="burlywood",shape="box"];1242[label="xy4001/Pos xy40010",fontsize=10,color="white",style="solid",shape="box"];883 -> 1242[label="",style="solid", color="burlywood", weight=9]; 17.23/6.71 1242 -> 950[label="",style="solid", color="burlywood", weight=3]; 17.23/6.71 1243[label="xy4001/Neg xy40010",fontsize=10,color="white",style="solid",shape="box"];883 -> 1243[label="",style="solid", color="burlywood", weight=9]; 17.23/6.71 1243 -> 951[label="",style="solid", color="burlywood", weight=3]; 17.23/6.71 884 -> 483[label="",style="dashed", color="red", weight=0]; 17.23/6.71 884[label="primEqNat xy3000 xy40000",fontsize=16,color="magenta"];884 -> 952[label="",style="dashed", color="magenta", weight=3]; 17.23/6.71 884 -> 953[label="",style="dashed", color="magenta", weight=3]; 17.23/6.71 885[label="False",fontsize=16,color="green",shape="box"];886[label="False",fontsize=16,color="green",shape="box"];887[label="True",fontsize=16,color="green",shape="box"];888[label="xy40000",fontsize=16,color="green",shape="box"];889[label="xy3000",fontsize=16,color="green",shape="box"];890[label="xy40000",fontsize=16,color="green",shape="box"];891[label="xy3000",fontsize=16,color="green",shape="box"];892[label="xy301",fontsize=16,color="green",shape="box"];893[label="xy4001",fontsize=16,color="green",shape="box"];894[label="xy301",fontsize=16,color="green",shape="box"];895[label="xy4001",fontsize=16,color="green",shape="box"];896[label="xy301",fontsize=16,color="green",shape="box"];897[label="xy4001",fontsize=16,color="green",shape="box"];898[label="xy301",fontsize=16,color="green",shape="box"];899[label="xy4001",fontsize=16,color="green",shape="box"];900[label="xy301",fontsize=16,color="green",shape="box"];901[label="xy4001",fontsize=16,color="green",shape="box"];902[label="xy301",fontsize=16,color="green",shape="box"];903[label="xy4001",fontsize=16,color="green",shape="box"];904[label="xy301",fontsize=16,color="green",shape="box"];905[label="xy4001",fontsize=16,color="green",shape="box"];906[label="xy301",fontsize=16,color="green",shape="box"];907[label="xy4001",fontsize=16,color="green",shape="box"];908[label="xy301",fontsize=16,color="green",shape="box"];909[label="xy4001",fontsize=16,color="green",shape="box"];910[label="xy301",fontsize=16,color="green",shape="box"];911[label="xy4001",fontsize=16,color="green",shape="box"];912[label="xy301",fontsize=16,color="green",shape="box"];913[label="xy4001",fontsize=16,color="green",shape="box"];914[label="xy301",fontsize=16,color="green",shape="box"];915[label="xy4001",fontsize=16,color="green",shape="box"];916[label="xy301",fontsize=16,color="green",shape="box"];917[label="xy4001",fontsize=16,color="green",shape="box"];918[label="xy301",fontsize=16,color="green",shape="box"];919[label="xy4001",fontsize=16,color="green",shape="box"];920[label="xy302",fontsize=16,color="green",shape="box"];921[label="xy4002",fontsize=16,color="green",shape="box"];922[label="xy302",fontsize=16,color="green",shape="box"];923[label="xy4002",fontsize=16,color="green",shape="box"];924[label="xy302",fontsize=16,color="green",shape="box"];925[label="xy4002",fontsize=16,color="green",shape="box"];926[label="xy302",fontsize=16,color="green",shape="box"];927[label="xy4002",fontsize=16,color="green",shape="box"];928[label="xy302",fontsize=16,color="green",shape="box"];929[label="xy4002",fontsize=16,color="green",shape="box"];930[label="xy302",fontsize=16,color="green",shape="box"];931[label="xy4002",fontsize=16,color="green",shape="box"];932[label="xy302",fontsize=16,color="green",shape="box"];933[label="xy4002",fontsize=16,color="green",shape="box"];934[label="xy302",fontsize=16,color="green",shape="box"];935[label="xy4002",fontsize=16,color="green",shape="box"];936[label="xy302",fontsize=16,color="green",shape="box"];937[label="xy4002",fontsize=16,color="green",shape="box"];938[label="xy302",fontsize=16,color="green",shape="box"];939[label="xy4002",fontsize=16,color="green",shape="box"];940[label="xy302",fontsize=16,color="green",shape="box"];941[label="xy4002",fontsize=16,color="green",shape="box"];942[label="xy302",fontsize=16,color="green",shape="box"];943[label="xy4002",fontsize=16,color="green",shape="box"];944[label="xy302",fontsize=16,color="green",shape="box"];945[label="xy4002",fontsize=16,color="green",shape="box"];946[label="xy302",fontsize=16,color="green",shape="box"];947[label="xy4002",fontsize=16,color="green",shape="box"];948[label="primMulInt (Pos xy3000) (Pos xy40010)",fontsize=16,color="black",shape="box"];948 -> 954[label="",style="solid", color="black", weight=3]; 17.23/6.71 949[label="primMulInt (Pos xy3000) (Neg xy40010)",fontsize=16,color="black",shape="box"];949 -> 955[label="",style="solid", color="black", weight=3]; 17.23/6.71 950[label="primMulInt (Neg xy3000) (Pos xy40010)",fontsize=16,color="black",shape="box"];950 -> 956[label="",style="solid", color="black", weight=3]; 17.23/6.71 951[label="primMulInt (Neg xy3000) (Neg xy40010)",fontsize=16,color="black",shape="box"];951 -> 957[label="",style="solid", color="black", weight=3]; 17.23/6.71 952[label="xy40000",fontsize=16,color="green",shape="box"];953[label="xy3000",fontsize=16,color="green",shape="box"];954[label="Pos (primMulNat xy3000 xy40010)",fontsize=16,color="green",shape="box"];954 -> 958[label="",style="dashed", color="green", weight=3]; 17.23/6.71 955[label="Neg (primMulNat xy3000 xy40010)",fontsize=16,color="green",shape="box"];955 -> 959[label="",style="dashed", color="green", weight=3]; 17.23/6.71 956[label="Neg (primMulNat xy3000 xy40010)",fontsize=16,color="green",shape="box"];956 -> 960[label="",style="dashed", color="green", weight=3]; 17.23/6.71 957[label="Pos (primMulNat xy3000 xy40010)",fontsize=16,color="green",shape="box"];957 -> 961[label="",style="dashed", color="green", weight=3]; 17.23/6.71 958[label="primMulNat xy3000 xy40010",fontsize=16,color="burlywood",shape="triangle"];1244[label="xy3000/Succ xy30000",fontsize=10,color="white",style="solid",shape="box"];958 -> 1244[label="",style="solid", color="burlywood", weight=9]; 17.23/6.71 1244 -> 962[label="",style="solid", color="burlywood", weight=3]; 17.23/6.71 1245[label="xy3000/Zero",fontsize=10,color="white",style="solid",shape="box"];958 -> 1245[label="",style="solid", color="burlywood", weight=9]; 17.23/6.71 1245 -> 963[label="",style="solid", color="burlywood", weight=3]; 17.23/6.71 959 -> 958[label="",style="dashed", color="red", weight=0]; 17.23/6.71 959[label="primMulNat xy3000 xy40010",fontsize=16,color="magenta"];959 -> 964[label="",style="dashed", color="magenta", weight=3]; 17.23/6.71 960 -> 958[label="",style="dashed", color="red", weight=0]; 17.23/6.71 960[label="primMulNat xy3000 xy40010",fontsize=16,color="magenta"];960 -> 965[label="",style="dashed", color="magenta", weight=3]; 17.23/6.71 961 -> 958[label="",style="dashed", color="red", weight=0]; 17.23/6.71 961[label="primMulNat xy3000 xy40010",fontsize=16,color="magenta"];961 -> 966[label="",style="dashed", color="magenta", weight=3]; 17.23/6.71 961 -> 967[label="",style="dashed", color="magenta", weight=3]; 17.23/6.71 962[label="primMulNat (Succ xy30000) xy40010",fontsize=16,color="burlywood",shape="box"];1246[label="xy40010/Succ xy400100",fontsize=10,color="white",style="solid",shape="box"];962 -> 1246[label="",style="solid", color="burlywood", weight=9]; 17.23/6.71 1246 -> 968[label="",style="solid", color="burlywood", weight=3]; 17.23/6.71 1247[label="xy40010/Zero",fontsize=10,color="white",style="solid",shape="box"];962 -> 1247[label="",style="solid", color="burlywood", weight=9]; 17.23/6.71 1247 -> 969[label="",style="solid", color="burlywood", weight=3]; 17.23/6.71 963[label="primMulNat Zero xy40010",fontsize=16,color="burlywood",shape="box"];1248[label="xy40010/Succ xy400100",fontsize=10,color="white",style="solid",shape="box"];963 -> 1248[label="",style="solid", color="burlywood", weight=9]; 17.23/6.71 1248 -> 970[label="",style="solid", color="burlywood", weight=3]; 17.23/6.71 1249[label="xy40010/Zero",fontsize=10,color="white",style="solid",shape="box"];963 -> 1249[label="",style="solid", color="burlywood", weight=9]; 17.23/6.71 1249 -> 971[label="",style="solid", color="burlywood", weight=3]; 17.23/6.71 964[label="xy40010",fontsize=16,color="green",shape="box"];965[label="xy3000",fontsize=16,color="green",shape="box"];966[label="xy40010",fontsize=16,color="green",shape="box"];967[label="xy3000",fontsize=16,color="green",shape="box"];968[label="primMulNat (Succ xy30000) (Succ xy400100)",fontsize=16,color="black",shape="box"];968 -> 972[label="",style="solid", color="black", weight=3]; 17.23/6.71 969[label="primMulNat (Succ xy30000) Zero",fontsize=16,color="black",shape="box"];969 -> 973[label="",style="solid", color="black", weight=3]; 17.23/6.71 970[label="primMulNat Zero (Succ xy400100)",fontsize=16,color="black",shape="box"];970 -> 974[label="",style="solid", color="black", weight=3]; 17.23/6.71 971[label="primMulNat Zero Zero",fontsize=16,color="black",shape="box"];971 -> 975[label="",style="solid", color="black", weight=3]; 17.23/6.71 972 -> 976[label="",style="dashed", color="red", weight=0]; 17.23/6.71 972[label="primPlusNat (primMulNat xy30000 (Succ xy400100)) (Succ xy400100)",fontsize=16,color="magenta"];972 -> 977[label="",style="dashed", color="magenta", weight=3]; 17.23/6.71 973[label="Zero",fontsize=16,color="green",shape="box"];974[label="Zero",fontsize=16,color="green",shape="box"];975[label="Zero",fontsize=16,color="green",shape="box"];977 -> 958[label="",style="dashed", color="red", weight=0]; 17.23/6.71 977[label="primMulNat xy30000 (Succ xy400100)",fontsize=16,color="magenta"];977 -> 978[label="",style="dashed", color="magenta", weight=3]; 17.23/6.71 977 -> 979[label="",style="dashed", color="magenta", weight=3]; 17.23/6.71 976[label="primPlusNat xy32 (Succ xy400100)",fontsize=16,color="burlywood",shape="triangle"];1250[label="xy32/Succ xy320",fontsize=10,color="white",style="solid",shape="box"];976 -> 1250[label="",style="solid", color="burlywood", weight=9]; 17.23/6.71 1250 -> 980[label="",style="solid", color="burlywood", weight=3]; 17.23/6.71 1251[label="xy32/Zero",fontsize=10,color="white",style="solid",shape="box"];976 -> 1251[label="",style="solid", color="burlywood", weight=9]; 17.23/6.71 1251 -> 981[label="",style="solid", color="burlywood", weight=3]; 17.23/6.71 978[label="Succ xy400100",fontsize=16,color="green",shape="box"];979[label="xy30000",fontsize=16,color="green",shape="box"];980[label="primPlusNat (Succ xy320) (Succ xy400100)",fontsize=16,color="black",shape="box"];980 -> 982[label="",style="solid", color="black", weight=3]; 17.23/6.71 981[label="primPlusNat Zero (Succ xy400100)",fontsize=16,color="black",shape="box"];981 -> 983[label="",style="solid", color="black", weight=3]; 17.23/6.71 982[label="Succ (Succ (primPlusNat xy320 xy400100))",fontsize=16,color="green",shape="box"];982 -> 984[label="",style="dashed", color="green", weight=3]; 17.23/6.71 983[label="Succ xy400100",fontsize=16,color="green",shape="box"];984[label="primPlusNat xy320 xy400100",fontsize=16,color="burlywood",shape="triangle"];1252[label="xy320/Succ xy3200",fontsize=10,color="white",style="solid",shape="box"];984 -> 1252[label="",style="solid", color="burlywood", weight=9]; 17.23/6.71 1252 -> 985[label="",style="solid", color="burlywood", weight=3]; 17.23/6.71 1253[label="xy320/Zero",fontsize=10,color="white",style="solid",shape="box"];984 -> 1253[label="",style="solid", color="burlywood", weight=9]; 17.23/6.71 1253 -> 986[label="",style="solid", color="burlywood", weight=3]; 17.23/6.71 985[label="primPlusNat (Succ xy3200) xy400100",fontsize=16,color="burlywood",shape="box"];1254[label="xy400100/Succ xy4001000",fontsize=10,color="white",style="solid",shape="box"];985 -> 1254[label="",style="solid", color="burlywood", weight=9]; 17.23/6.71 1254 -> 987[label="",style="solid", color="burlywood", weight=3]; 17.23/6.71 1255[label="xy400100/Zero",fontsize=10,color="white",style="solid",shape="box"];985 -> 1255[label="",style="solid", color="burlywood", weight=9]; 17.23/6.71 1255 -> 988[label="",style="solid", color="burlywood", weight=3]; 17.23/6.71 986[label="primPlusNat Zero xy400100",fontsize=16,color="burlywood",shape="box"];1256[label="xy400100/Succ xy4001000",fontsize=10,color="white",style="solid",shape="box"];986 -> 1256[label="",style="solid", color="burlywood", weight=9]; 17.23/6.71 1256 -> 989[label="",style="solid", color="burlywood", weight=3]; 17.23/6.71 1257[label="xy400100/Zero",fontsize=10,color="white",style="solid",shape="box"];986 -> 1257[label="",style="solid", color="burlywood", weight=9]; 17.23/6.71 1257 -> 990[label="",style="solid", color="burlywood", weight=3]; 17.23/6.71 987[label="primPlusNat (Succ xy3200) (Succ xy4001000)",fontsize=16,color="black",shape="box"];987 -> 991[label="",style="solid", color="black", weight=3]; 17.23/6.71 988[label="primPlusNat (Succ xy3200) Zero",fontsize=16,color="black",shape="box"];988 -> 992[label="",style="solid", color="black", weight=3]; 17.23/6.71 989[label="primPlusNat Zero (Succ xy4001000)",fontsize=16,color="black",shape="box"];989 -> 993[label="",style="solid", color="black", weight=3]; 17.23/6.71 990[label="primPlusNat Zero Zero",fontsize=16,color="black",shape="box"];990 -> 994[label="",style="solid", color="black", weight=3]; 17.23/6.71 991[label="Succ (Succ (primPlusNat xy3200 xy4001000))",fontsize=16,color="green",shape="box"];991 -> 995[label="",style="dashed", color="green", weight=3]; 17.23/6.71 992[label="Succ xy3200",fontsize=16,color="green",shape="box"];993[label="Succ xy4001000",fontsize=16,color="green",shape="box"];994[label="Zero",fontsize=16,color="green",shape="box"];995 -> 984[label="",style="dashed", color="red", weight=0]; 17.23/6.71 995[label="primPlusNat xy3200 xy4001000",fontsize=16,color="magenta"];995 -> 996[label="",style="dashed", color="magenta", weight=3]; 17.23/6.71 995 -> 997[label="",style="dashed", color="magenta", weight=3]; 17.23/6.71 996[label="xy4001000",fontsize=16,color="green",shape="box"];997[label="xy3200",fontsize=16,color="green",shape="box"];} 17.23/6.71 17.23/6.71 ---------------------------------------- 17.23/6.71 17.23/6.71 (8) 17.23/6.71 Complex Obligation (AND) 17.23/6.71 17.23/6.71 ---------------------------------------- 17.23/6.71 17.23/6.71 (9) 17.23/6.71 Obligation: 17.23/6.71 Q DP problem: 17.23/6.71 The TRS P consists of the following rules: 17.23/6.71 17.23/6.71 new_esEs3(@3(xy300, xy301, xy302), @3(xy4000, xy4001, xy4002), hf, app(app(ty_Either, bbf), bbg), hh) -> new_esEs1(xy301, xy4001, bbf, bbg) 17.23/6.71 new_esEs0(Just(xy300), Just(xy4000), app(app(app(ty_@3, ed), ee), ef)) -> new_esEs3(xy300, xy4000, ed, ee, ef) 17.23/6.71 new_esEs1(Left(xy300), Left(xy4000), app(app(ty_Either, fc), fd), fa) -> new_esEs1(xy300, xy4000, fc, fd) 17.23/6.71 new_esEs2(:(xy310, xy311), :(xy4010, xy4011), baa) -> new_esEs2(xy311, xy4011, baa) 17.23/6.71 new_esEs3(@3(xy300, xy301, xy302), @3(xy4000, xy4001, xy4002), hf, hg, app(ty_Maybe, bcf)) -> new_esEs0(xy302, xy4002, bcf) 17.23/6.71 new_esEs1(Left(xy300), Left(xy4000), app(app(app(ty_@3, fg), fh), ga), fa) -> new_esEs3(xy300, xy4000, fg, fh, ga) 17.23/6.71 new_esEs3(@3(xy300, xy301, xy302), @3(xy4000, xy4001, xy4002), app(app(ty_Either, bae), baf), hg, hh) -> new_esEs1(xy300, xy4000, bae, baf) 17.23/6.71 new_esEs3(@3(xy300, xy301, xy302), @3(xy4000, xy4001, xy4002), app(app(app(ty_@3, bah), bba), bbb), hg, hh) -> new_esEs3(xy300, xy4000, bah, bba, bbb) 17.23/6.71 new_esEs(@2(xy300, xy301), @2(xy4000, xy4001), app(app(ty_@2, ba), bb), bc) -> new_esEs(xy300, xy4000, ba, bb) 17.23/6.71 new_esEs2(:(xy310, xy311), :(xy4010, xy4011), app(app(ty_@2, cc), bc)) -> new_esEs(xy310, xy4010, cc, bc) 17.23/6.71 new_esEs(@2(xy300, xy301), @2(xy4000, xy4001), app(app(app(ty_@3, bh), ca), cb), bc) -> new_esEs3(xy300, xy4000, bh, ca, cb) 17.23/6.71 new_esEs1(Right(xy300), Right(xy4000), gb, app(ty_[], gh)) -> new_esEs2(xy300, xy4000, gh) 17.23/6.71 new_esEs3(@3(xy300, xy301, xy302), @3(xy4000, xy4001, xy4002), app(ty_[], bag), hg, hh) -> new_esEs2(xy300, xy4000, bag) 17.23/6.71 new_esEs3(@3(xy300, xy301, xy302), @3(xy4000, xy4001, xy4002), hf, hg, app(app(app(ty_@3, bdb), bdc), bdd)) -> new_esEs3(xy302, xy4002, bdb, bdc, bdd) 17.23/6.71 new_esEs3(@3(xy300, xy301, xy302), @3(xy4000, xy4001, xy4002), hf, app(ty_Maybe, bbe), hh) -> new_esEs0(xy301, xy4001, bbe) 17.23/6.71 new_esEs(@2(xy300, xy301), @2(xy4000, xy4001), cc, app(app(ty_@2, cd), ce)) -> new_esEs(xy301, xy4001, cd, ce) 17.23/6.71 new_esEs1(Right(xy300), Right(xy4000), gb, app(ty_Maybe, ge)) -> new_esEs0(xy300, xy4000, ge) 17.23/6.71 new_esEs3(@3(xy300, xy301, xy302), @3(xy4000, xy4001, xy4002), app(ty_Maybe, bad), hg, hh) -> new_esEs0(xy300, xy4000, bad) 17.23/6.71 new_esEs3(@3(xy300, xy301, xy302), @3(xy4000, xy4001, xy4002), hf, hg, app(app(ty_Either, bcg), bch)) -> new_esEs1(xy302, xy4002, bcg, bch) 17.23/6.71 new_esEs1(Left(xy300), Left(xy4000), app(app(ty_@2, eg), eh), fa) -> new_esEs(xy300, xy4000, eg, eh) 17.23/6.71 new_esEs3(@3(xy300, xy301, xy302), @3(xy4000, xy4001, xy4002), hf, hg, app(app(ty_@2, bcd), bce)) -> new_esEs(xy302, xy4002, bcd, bce) 17.23/6.71 new_esEs3(@3(xy300, xy301, xy302), @3(xy4000, xy4001, xy4002), hf, app(app(ty_@2, bbc), bbd), hh) -> new_esEs(xy301, xy4001, bbc, bbd) 17.23/6.71 new_esEs(@2(xy300, xy301), @2(xy4000, xy4001), cc, app(app(app(ty_@3, dc), dd), de)) -> new_esEs3(xy301, xy4001, dc, dd, de) 17.23/6.71 new_esEs(@2(xy300, xy301), @2(xy4000, xy4001), cc, app(app(ty_Either, cg), da)) -> new_esEs1(xy301, xy4001, cg, da) 17.23/6.71 new_esEs2(:(xy310, xy311), :(xy4010, xy4011), app(app(ty_Either, gb), fa)) -> new_esEs1(xy310, xy4010, gb, fa) 17.23/6.71 new_esEs3(@3(xy300, xy301, xy302), @3(xy4000, xy4001, xy4002), hf, app(ty_[], bbh), hh) -> new_esEs2(xy301, xy4001, bbh) 17.23/6.71 new_esEs3(@3(xy300, xy301, xy302), @3(xy4000, xy4001, xy4002), hf, app(app(app(ty_@3, bca), bcb), bcc), hh) -> new_esEs3(xy301, xy4001, bca, bcb, bcc) 17.23/6.71 new_esEs(@2(xy300, xy301), @2(xy4000, xy4001), app(app(ty_Either, be), bf), bc) -> new_esEs1(xy300, xy4000, be, bf) 17.23/6.71 new_esEs3(@3(xy300, xy301, xy302), @3(xy4000, xy4001, xy4002), hf, hg, app(ty_[], bda)) -> new_esEs2(xy302, xy4002, bda) 17.23/6.71 new_esEs3(@3(xy300, xy301, xy302), @3(xy4000, xy4001, xy4002), app(app(ty_@2, bab), bac), hg, hh) -> new_esEs(xy300, xy4000, bab, bac) 17.23/6.71 new_esEs0(Just(xy300), Just(xy4000), app(app(ty_@2, df), dg)) -> new_esEs(xy300, xy4000, df, dg) 17.23/6.71 new_esEs2(:(xy310, xy311), :(xy4010, xy4011), app(ty_Maybe, hd)) -> new_esEs0(xy310, xy4010, hd) 17.23/6.71 new_esEs2(:(xy310, xy311), :(xy4010, xy4011), app(ty_[], he)) -> new_esEs2(xy310, xy4010, he) 17.23/6.71 new_esEs0(Just(xy300), Just(xy4000), app(app(ty_Either, ea), eb)) -> new_esEs1(xy300, xy4000, ea, eb) 17.23/6.71 new_esEs0(Just(xy300), Just(xy4000), app(ty_[], ec)) -> new_esEs2(xy300, xy4000, ec) 17.23/6.71 new_esEs0(Just(xy300), Just(xy4000), app(ty_Maybe, dh)) -> new_esEs0(xy300, xy4000, dh) 17.23/6.71 new_esEs1(Right(xy300), Right(xy4000), gb, app(app(app(ty_@3, ha), hb), hc)) -> new_esEs3(xy300, xy4000, ha, hb, hc) 17.23/6.71 new_esEs2(:(xy310, xy311), :(xy4010, xy4011), app(app(app(ty_@3, hf), hg), hh)) -> new_esEs3(xy310, xy4010, hf, hg, hh) 17.23/6.71 new_esEs1(Right(xy300), Right(xy4000), gb, app(app(ty_@2, gc), gd)) -> new_esEs(xy300, xy4000, gc, gd) 17.23/6.71 new_esEs1(Left(xy300), Left(xy4000), app(ty_Maybe, fb), fa) -> new_esEs0(xy300, xy4000, fb) 17.23/6.71 new_esEs1(Left(xy300), Left(xy4000), app(ty_[], ff), fa) -> new_esEs2(xy300, xy4000, ff) 17.23/6.71 new_esEs(@2(xy300, xy301), @2(xy4000, xy4001), app(ty_Maybe, bd), bc) -> new_esEs0(xy300, xy4000, bd) 17.23/6.71 new_esEs1(Right(xy300), Right(xy4000), gb, app(app(ty_Either, gf), gg)) -> new_esEs1(xy300, xy4000, gf, gg) 17.23/6.71 new_esEs(@2(xy300, xy301), @2(xy4000, xy4001), cc, app(ty_[], db)) -> new_esEs2(xy301, xy4001, db) 17.23/6.71 new_esEs(@2(xy300, xy301), @2(xy4000, xy4001), app(ty_[], bg), bc) -> new_esEs2(xy300, xy4000, bg) 17.23/6.71 new_esEs(@2(xy300, xy301), @2(xy4000, xy4001), cc, app(ty_Maybe, cf)) -> new_esEs0(xy301, xy4001, cf) 17.23/6.71 17.23/6.71 R is empty. 17.23/6.71 Q is empty. 17.23/6.71 We have to consider all minimal (P,Q,R)-chains. 17.23/6.71 ---------------------------------------- 17.23/6.71 17.23/6.71 (10) QDPSizeChangeProof (EQUIVALENT) 17.23/6.71 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. 17.23/6.71 17.23/6.71 From the DPs we obtained the following set of size-change graphs: 17.23/6.71 *new_esEs2(:(xy310, xy311), :(xy4010, xy4011), app(app(app(ty_@3, hf), hg), hh)) -> new_esEs3(xy310, xy4010, hf, hg, hh) 17.23/6.71 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 17.23/6.71 17.23/6.71 17.23/6.71 *new_esEs2(:(xy310, xy311), :(xy4010, xy4011), app(ty_Maybe, hd)) -> new_esEs0(xy310, xy4010, hd) 17.23/6.71 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 17.23/6.71 17.23/6.71 17.23/6.71 *new_esEs2(:(xy310, xy311), :(xy4010, xy4011), app(app(ty_Either, gb), fa)) -> new_esEs1(xy310, xy4010, gb, fa) 17.23/6.71 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 17.23/6.71 17.23/6.71 17.23/6.71 *new_esEs2(:(xy310, xy311), :(xy4010, xy4011), app(app(ty_@2, cc), bc)) -> new_esEs(xy310, xy4010, cc, bc) 17.23/6.71 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 17.23/6.71 17.23/6.71 17.23/6.71 *new_esEs0(Just(xy300), Just(xy4000), app(app(app(ty_@3, ed), ee), ef)) -> new_esEs3(xy300, xy4000, ed, ee, ef) 17.23/6.71 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 17.23/6.71 17.23/6.71 17.23/6.71 *new_esEs0(Just(xy300), Just(xy4000), app(ty_Maybe, dh)) -> new_esEs0(xy300, xy4000, dh) 17.23/6.71 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 17.23/6.71 17.23/6.71 17.23/6.71 *new_esEs0(Just(xy300), Just(xy4000), app(app(ty_Either, ea), eb)) -> new_esEs1(xy300, xy4000, ea, eb) 17.23/6.71 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 17.23/6.71 17.23/6.71 17.23/6.71 *new_esEs0(Just(xy300), Just(xy4000), app(ty_[], ec)) -> new_esEs2(xy300, xy4000, ec) 17.23/6.71 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 17.23/6.71 17.23/6.71 17.23/6.71 *new_esEs0(Just(xy300), Just(xy4000), app(app(ty_@2, df), dg)) -> new_esEs(xy300, xy4000, df, dg) 17.23/6.71 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 17.23/6.71 17.23/6.71 17.23/6.71 *new_esEs1(Left(xy300), Left(xy4000), app(app(app(ty_@3, fg), fh), ga), fa) -> new_esEs3(xy300, xy4000, fg, fh, ga) 17.23/6.71 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 17.23/6.71 17.23/6.71 17.23/6.71 *new_esEs1(Right(xy300), Right(xy4000), gb, app(app(app(ty_@3, ha), hb), hc)) -> new_esEs3(xy300, xy4000, ha, hb, hc) 17.23/6.71 The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4, 4 > 5 17.23/6.71 17.23/6.71 17.23/6.71 *new_esEs1(Right(xy300), Right(xy4000), gb, app(ty_Maybe, ge)) -> new_esEs0(xy300, xy4000, ge) 17.23/6.71 The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 17.23/6.71 17.23/6.71 17.23/6.71 *new_esEs1(Left(xy300), Left(xy4000), app(ty_Maybe, fb), fa) -> new_esEs0(xy300, xy4000, fb) 17.23/6.71 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 17.23/6.72 17.23/6.72 17.23/6.72 *new_esEs1(Left(xy300), Left(xy4000), app(app(ty_Either, fc), fd), fa) -> new_esEs1(xy300, xy4000, fc, fd) 17.23/6.72 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 17.23/6.72 17.23/6.72 17.23/6.72 *new_esEs1(Right(xy300), Right(xy4000), gb, app(app(ty_Either, gf), gg)) -> new_esEs1(xy300, xy4000, gf, gg) 17.23/6.72 The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 17.23/6.72 17.23/6.72 17.23/6.72 *new_esEs1(Right(xy300), Right(xy4000), gb, app(ty_[], gh)) -> new_esEs2(xy300, xy4000, gh) 17.23/6.72 The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 17.23/6.72 17.23/6.72 17.23/6.72 *new_esEs1(Left(xy300), Left(xy4000), app(ty_[], ff), fa) -> new_esEs2(xy300, xy4000, ff) 17.23/6.72 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 17.23/6.72 17.23/6.72 17.23/6.72 *new_esEs1(Left(xy300), Left(xy4000), app(app(ty_@2, eg), eh), fa) -> new_esEs(xy300, xy4000, eg, eh) 17.23/6.72 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 17.23/6.72 17.23/6.72 17.23/6.72 *new_esEs1(Right(xy300), Right(xy4000), gb, app(app(ty_@2, gc), gd)) -> new_esEs(xy300, xy4000, gc, gd) 17.23/6.72 The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 17.23/6.72 17.23/6.72 17.23/6.72 *new_esEs3(@3(xy300, xy301, xy302), @3(xy4000, xy4001, xy4002), app(app(app(ty_@3, bah), bba), bbb), hg, hh) -> new_esEs3(xy300, xy4000, bah, bba, bbb) 17.23/6.72 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 17.23/6.72 17.23/6.72 17.23/6.72 *new_esEs3(@3(xy300, xy301, xy302), @3(xy4000, xy4001, xy4002), hf, hg, app(app(app(ty_@3, bdb), bdc), bdd)) -> new_esEs3(xy302, xy4002, bdb, bdc, bdd) 17.23/6.72 The graph contains the following edges 1 > 1, 2 > 2, 5 > 3, 5 > 4, 5 > 5 17.23/6.72 17.23/6.72 17.23/6.72 *new_esEs3(@3(xy300, xy301, xy302), @3(xy4000, xy4001, xy4002), hf, app(app(app(ty_@3, bca), bcb), bcc), hh) -> new_esEs3(xy301, xy4001, bca, bcb, bcc) 17.23/6.72 The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4, 4 > 5 17.23/6.72 17.23/6.72 17.23/6.72 *new_esEs(@2(xy300, xy301), @2(xy4000, xy4001), app(app(app(ty_@3, bh), ca), cb), bc) -> new_esEs3(xy300, xy4000, bh, ca, cb) 17.23/6.72 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 17.23/6.72 17.23/6.72 17.23/6.72 *new_esEs(@2(xy300, xy301), @2(xy4000, xy4001), cc, app(app(app(ty_@3, dc), dd), de)) -> new_esEs3(xy301, xy4001, dc, dd, de) 17.23/6.72 The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4, 4 > 5 17.23/6.72 17.23/6.72 17.23/6.72 *new_esEs3(@3(xy300, xy301, xy302), @3(xy4000, xy4001, xy4002), hf, hg, app(ty_Maybe, bcf)) -> new_esEs0(xy302, xy4002, bcf) 17.23/6.72 The graph contains the following edges 1 > 1, 2 > 2, 5 > 3 17.23/6.72 17.23/6.72 17.23/6.72 *new_esEs3(@3(xy300, xy301, xy302), @3(xy4000, xy4001, xy4002), hf, app(ty_Maybe, bbe), hh) -> new_esEs0(xy301, xy4001, bbe) 17.23/6.72 The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 17.23/6.72 17.23/6.72 17.23/6.72 *new_esEs3(@3(xy300, xy301, xy302), @3(xy4000, xy4001, xy4002), app(ty_Maybe, bad), hg, hh) -> new_esEs0(xy300, xy4000, bad) 17.23/6.72 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 17.23/6.72 17.23/6.72 17.23/6.72 *new_esEs3(@3(xy300, xy301, xy302), @3(xy4000, xy4001, xy4002), hf, app(app(ty_Either, bbf), bbg), hh) -> new_esEs1(xy301, xy4001, bbf, bbg) 17.23/6.72 The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 17.23/6.72 17.23/6.72 17.23/6.72 *new_esEs3(@3(xy300, xy301, xy302), @3(xy4000, xy4001, xy4002), app(app(ty_Either, bae), baf), hg, hh) -> new_esEs1(xy300, xy4000, bae, baf) 17.23/6.72 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 17.23/6.72 17.23/6.72 17.23/6.72 *new_esEs3(@3(xy300, xy301, xy302), @3(xy4000, xy4001, xy4002), hf, hg, app(app(ty_Either, bcg), bch)) -> new_esEs1(xy302, xy4002, bcg, bch) 17.23/6.72 The graph contains the following edges 1 > 1, 2 > 2, 5 > 3, 5 > 4 17.23/6.72 17.23/6.72 17.23/6.72 *new_esEs3(@3(xy300, xy301, xy302), @3(xy4000, xy4001, xy4002), app(ty_[], bag), hg, hh) -> new_esEs2(xy300, xy4000, bag) 17.23/6.72 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 17.23/6.72 17.23/6.72 17.23/6.72 *new_esEs3(@3(xy300, xy301, xy302), @3(xy4000, xy4001, xy4002), hf, app(ty_[], bbh), hh) -> new_esEs2(xy301, xy4001, bbh) 17.23/6.72 The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 17.23/6.72 17.23/6.72 17.23/6.72 *new_esEs3(@3(xy300, xy301, xy302), @3(xy4000, xy4001, xy4002), hf, hg, app(ty_[], bda)) -> new_esEs2(xy302, xy4002, bda) 17.23/6.72 The graph contains the following edges 1 > 1, 2 > 2, 5 > 3 17.23/6.72 17.23/6.72 17.23/6.72 *new_esEs3(@3(xy300, xy301, xy302), @3(xy4000, xy4001, xy4002), hf, hg, app(app(ty_@2, bcd), bce)) -> new_esEs(xy302, xy4002, bcd, bce) 17.23/6.72 The graph contains the following edges 1 > 1, 2 > 2, 5 > 3, 5 > 4 17.23/6.72 17.23/6.72 17.23/6.72 *new_esEs3(@3(xy300, xy301, xy302), @3(xy4000, xy4001, xy4002), hf, app(app(ty_@2, bbc), bbd), hh) -> new_esEs(xy301, xy4001, bbc, bbd) 17.23/6.72 The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 17.23/6.72 17.23/6.72 17.23/6.72 *new_esEs3(@3(xy300, xy301, xy302), @3(xy4000, xy4001, xy4002), app(app(ty_@2, bab), bac), hg, hh) -> new_esEs(xy300, xy4000, bab, bac) 17.23/6.72 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 17.23/6.72 17.23/6.72 17.23/6.72 *new_esEs(@2(xy300, xy301), @2(xy4000, xy4001), app(ty_Maybe, bd), bc) -> new_esEs0(xy300, xy4000, bd) 17.23/6.72 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 17.23/6.72 17.23/6.72 17.23/6.72 *new_esEs(@2(xy300, xy301), @2(xy4000, xy4001), cc, app(ty_Maybe, cf)) -> new_esEs0(xy301, xy4001, cf) 17.23/6.72 The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 17.23/6.72 17.23/6.72 17.23/6.72 *new_esEs(@2(xy300, xy301), @2(xy4000, xy4001), cc, app(app(ty_Either, cg), da)) -> new_esEs1(xy301, xy4001, cg, da) 17.23/6.72 The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 17.23/6.72 17.23/6.72 17.23/6.72 *new_esEs(@2(xy300, xy301), @2(xy4000, xy4001), app(app(ty_Either, be), bf), bc) -> new_esEs1(xy300, xy4000, be, bf) 17.23/6.72 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 17.23/6.72 17.23/6.72 17.23/6.72 *new_esEs2(:(xy310, xy311), :(xy4010, xy4011), baa) -> new_esEs2(xy311, xy4011, baa) 17.23/6.72 The graph contains the following edges 1 > 1, 2 > 2, 3 >= 3 17.23/6.72 17.23/6.72 17.23/6.72 *new_esEs2(:(xy310, xy311), :(xy4010, xy4011), app(ty_[], he)) -> new_esEs2(xy310, xy4010, he) 17.23/6.72 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 17.23/6.72 17.23/6.72 17.23/6.72 *new_esEs(@2(xy300, xy301), @2(xy4000, xy4001), cc, app(ty_[], db)) -> new_esEs2(xy301, xy4001, db) 17.23/6.72 The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 17.23/6.72 17.23/6.72 17.23/6.72 *new_esEs(@2(xy300, xy301), @2(xy4000, xy4001), app(ty_[], bg), bc) -> new_esEs2(xy300, xy4000, bg) 17.23/6.72 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 17.23/6.72 17.23/6.72 17.23/6.72 *new_esEs(@2(xy300, xy301), @2(xy4000, xy4001), app(app(ty_@2, ba), bb), bc) -> new_esEs(xy300, xy4000, ba, bb) 17.23/6.72 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 17.23/6.72 17.23/6.72 17.23/6.72 *new_esEs(@2(xy300, xy301), @2(xy4000, xy4001), cc, app(app(ty_@2, cd), ce)) -> new_esEs(xy301, xy4001, cd, ce) 17.23/6.72 The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 17.23/6.72 17.23/6.72 17.23/6.72 ---------------------------------------- 17.23/6.72 17.23/6.72 (11) 17.23/6.72 YES 17.23/6.72 17.23/6.72 ---------------------------------------- 17.23/6.72 17.23/6.72 (12) 17.23/6.72 Obligation: 17.23/6.72 Q DP problem: 17.23/6.72 The TRS P consists of the following rules: 17.23/6.72 17.23/6.72 new_deleteBy0(xy12, xy13, xy14, xy15, xy16, False, ba) -> new_deleteBy(:(xy15, xy16), xy12, ba) 17.23/6.72 new_deleteBy(:(xy30, xy31), :(:(xy400, xy401), xy41), bb) -> new_deleteBy0(xy41, xy400, xy401, xy30, xy31, new_asAs(new_esEs4(xy30, xy400, bb), new_esEs5(xy31, xy401, bb)), bb) 17.23/6.72 new_deleteBy(:(xy30, xy31), :([], xy41), bb) -> new_deleteBy(:(xy30, xy31), xy41, bb) 17.23/6.72 new_deleteBy([], :(:(xy400, xy401), xy41), bb) -> new_deleteBy([], xy41, bb) 17.23/6.72 17.23/6.72 The TRS R consists of the following rules: 17.23/6.72 17.23/6.72 new_esEs23(xy301, xy4001, app(ty_Ratio, ef)) -> new_esEs10(xy301, xy4001, ef) 17.23/6.72 new_esEs11(xy300, xy4000, ty_Int) -> new_esEs7(xy300, xy4000) 17.23/6.72 new_esEs22(xy300, xy4000, ty_Float) -> new_esEs6(xy300, xy4000) 17.23/6.72 new_primEqInt(Pos(Zero), Pos(Zero)) -> True 17.23/6.72 new_esEs12(xy301, xy4001, ty_Integer) -> new_esEs8(xy301, xy4001) 17.23/6.72 new_esEs4(xy30, xy400, app(ty_Maybe, bf)) -> new_esEs17(xy30, xy400, bf) 17.23/6.72 new_esEs22(xy300, xy4000, ty_Double) -> new_esEs14(xy300, xy4000) 17.23/6.72 new_esEs22(xy300, xy4000, app(app(ty_Either, da), db)) -> new_esEs19(xy300, xy4000, da, db) 17.23/6.72 new_esEs22(xy300, xy4000, ty_@0) -> new_esEs21(xy300, xy4000) 17.23/6.72 new_esEs18(True, True) -> True 17.23/6.72 new_esEs22(xy300, xy4000, ty_Char) -> new_esEs15(xy300, xy4000) 17.23/6.72 new_esEs24(xy302, xy4002, ty_Char) -> new_esEs15(xy302, xy4002) 17.23/6.72 new_esEs19(Left(xy300), Left(xy4000), app(app(ty_Either, bcf), bcg), bh) -> new_esEs19(xy300, xy4000, bcf, bcg) 17.23/6.72 new_esEs25(xy300, xy4000, ty_Bool) -> new_esEs18(xy300, xy4000) 17.23/6.72 new_esEs19(Right(xy300), Right(xy4000), bg, ty_Ordering) -> new_esEs9(xy300, xy4000) 17.23/6.72 new_esEs24(xy302, xy4002, ty_Double) -> new_esEs14(xy302, xy4002) 17.23/6.72 new_esEs25(xy300, xy4000, app(ty_Maybe, baa)) -> new_esEs17(xy300, xy4000, baa) 17.23/6.72 new_esEs9(LT, EQ) -> False 17.23/6.72 new_esEs9(EQ, LT) -> False 17.23/6.72 new_esEs17(Just(xy300), Just(xy4000), app(ty_Ratio, hc)) -> new_esEs10(xy300, xy4000, hc) 17.23/6.72 new_esEs16(@2(xy300, xy301), @2(xy4000, xy4001), bd, be) -> new_asAs(new_esEs25(xy300, xy4000, bd), new_esEs26(xy301, xy4001, be)) 17.23/6.72 new_esEs19(Right(xy300), Right(xy4000), bg, ty_Bool) -> new_esEs18(xy300, xy4000) 17.23/6.72 new_esEs5([], [], bb) -> True 17.23/6.72 new_asAs(True, xy31) -> xy31 17.23/6.72 new_esEs4(xy30, xy400, ty_Bool) -> new_esEs18(xy30, xy400) 17.23/6.72 new_esEs25(xy300, xy4000, app(ty_[], bad)) -> new_esEs5(xy300, xy4000, bad) 17.23/6.72 new_esEs8(Integer(xy300), Integer(xy4000)) -> new_primEqInt(xy300, xy4000) 17.23/6.72 new_primEqInt(Pos(Succ(xy3000)), Pos(Zero)) -> False 17.23/6.72 new_primEqInt(Pos(Zero), Pos(Succ(xy40000))) -> False 17.23/6.72 new_esEs25(xy300, xy4000, ty_Ordering) -> new_esEs9(xy300, xy4000) 17.23/6.72 new_esEs19(Left(xy300), Left(xy4000), ty_Ordering, bh) -> new_esEs9(xy300, xy4000) 17.23/6.72 new_esEs26(xy301, xy4001, ty_Char) -> new_esEs15(xy301, xy4001) 17.23/6.72 new_esEs19(Right(xy300), Right(xy4000), bg, ty_Integer) -> new_esEs8(xy300, xy4000) 17.23/6.72 new_esEs23(xy301, xy4001, app(app(app(ty_@3, eg), eh), fa)) -> new_esEs20(xy301, xy4001, eg, eh, fa) 17.23/6.72 new_esEs4(xy30, xy400, app(ty_[], ca)) -> new_esEs5(xy30, xy400, ca) 17.23/6.72 new_esEs4(xy30, xy400, ty_Ordering) -> new_esEs9(xy30, xy400) 17.23/6.72 new_esEs23(xy301, xy4001, app(ty_Maybe, eb)) -> new_esEs17(xy301, xy4001, eb) 17.23/6.72 new_esEs23(xy301, xy4001, ty_Bool) -> new_esEs18(xy301, xy4001) 17.23/6.72 new_esEs18(False, False) -> True 17.23/6.72 new_primEqNat0(Succ(xy3000), Succ(xy40000)) -> new_primEqNat0(xy3000, xy40000) 17.23/6.72 new_esEs17(Nothing, Nothing, bf) -> True 17.23/6.72 new_esEs4(xy30, xy400, app(ty_Ratio, bc)) -> new_esEs10(xy30, xy400, bc) 17.23/6.72 new_esEs22(xy300, xy4000, app(ty_[], dc)) -> new_esEs5(xy300, xy4000, dc) 17.23/6.72 new_esEs17(Nothing, Just(xy4000), bf) -> False 17.23/6.72 new_esEs17(Just(xy300), Nothing, bf) -> False 17.23/6.72 new_esEs19(Left(xy300), Left(xy4000), ty_Bool, bh) -> new_esEs18(xy300, xy4000) 17.23/6.72 new_esEs26(xy301, xy4001, ty_Int) -> new_esEs7(xy301, xy4001) 17.23/6.72 new_esEs25(xy300, xy4000, app(ty_Ratio, bae)) -> new_esEs10(xy300, xy4000, bae) 17.23/6.72 new_esEs19(Right(xy300), Right(xy4000), bg, app(ty_Ratio, bec)) -> new_esEs10(xy300, xy4000, bec) 17.23/6.72 new_esEs19(Left(xy300), Left(xy4000), app(app(app(ty_@3, bdb), bdc), bdd), bh) -> new_esEs20(xy300, xy4000, bdb, bdc, bdd) 17.23/6.72 new_esEs19(Right(xy300), Right(xy4000), bg, ty_@0) -> new_esEs21(xy300, xy4000) 17.23/6.72 new_esEs4(xy30, xy400, ty_Integer) -> new_esEs8(xy30, xy400) 17.23/6.72 new_esEs17(Just(xy300), Just(xy4000), app(app(ty_@2, ge), gf)) -> new_esEs16(xy300, xy4000, ge, gf) 17.23/6.72 new_esEs19(Right(xy300), Right(xy4000), bg, app(app(app(ty_@3, bed), bee), bef)) -> new_esEs20(xy300, xy4000, bed, bee, bef) 17.23/6.72 new_esEs23(xy301, xy4001, ty_Int) -> new_esEs7(xy301, xy4001) 17.23/6.72 new_primMulNat0(Zero, Zero) -> Zero 17.23/6.72 new_esEs23(xy301, xy4001, app(ty_[], ee)) -> new_esEs5(xy301, xy4001, ee) 17.23/6.72 new_esEs22(xy300, xy4000, ty_Bool) -> new_esEs18(xy300, xy4000) 17.23/6.72 new_esEs23(xy301, xy4001, ty_Integer) -> new_esEs8(xy301, xy4001) 17.23/6.72 new_esEs19(Left(xy300), Left(xy4000), app(ty_Ratio, bda), bh) -> new_esEs10(xy300, xy4000, bda) 17.23/6.72 new_esEs4(xy30, xy400, app(app(ty_@2, bd), be)) -> new_esEs16(xy30, xy400, bd, be) 17.23/6.72 new_esEs17(Just(xy300), Just(xy4000), ty_Integer) -> new_esEs8(xy300, xy4000) 17.23/6.72 new_esEs23(xy301, xy4001, app(app(ty_@2, dh), ea)) -> new_esEs16(xy301, xy4001, dh, ea) 17.23/6.72 new_esEs19(Right(xy300), Right(xy4000), bg, ty_Double) -> new_esEs14(xy300, xy4000) 17.23/6.72 new_esEs17(Just(xy300), Just(xy4000), ty_Int) -> new_esEs7(xy300, xy4000) 17.23/6.72 new_esEs17(Just(xy300), Just(xy4000), ty_Ordering) -> new_esEs9(xy300, xy4000) 17.23/6.72 new_esEs26(xy301, xy4001, ty_@0) -> new_esEs21(xy301, xy4001) 17.23/6.72 new_esEs4(xy30, xy400, ty_Int) -> new_esEs7(xy30, xy400) 17.23/6.72 new_primEqNat0(Succ(xy3000), Zero) -> False 17.23/6.72 new_primEqNat0(Zero, Succ(xy40000)) -> False 17.23/6.72 new_esEs24(xy302, xy4002, app(ty_[], fh)) -> new_esEs5(xy302, xy4002, fh) 17.23/6.72 new_esEs21(@0, @0) -> True 17.23/6.72 new_esEs13(xy310, xy4010, ty_Char) -> new_esEs15(xy310, xy4010) 17.23/6.72 new_esEs22(xy300, xy4000, ty_Ordering) -> new_esEs9(xy300, xy4000) 17.23/6.72 new_esEs22(xy300, xy4000, app(app(ty_@2, ce), cf)) -> new_esEs16(xy300, xy4000, ce, cf) 17.23/6.72 new_esEs9(EQ, EQ) -> True 17.23/6.72 new_esEs24(xy302, xy4002, ty_Float) -> new_esEs6(xy302, xy4002) 17.23/6.72 new_esEs24(xy302, xy4002, app(app(ty_Either, ff), fg)) -> new_esEs19(xy302, xy4002, ff, fg) 17.23/6.72 new_esEs26(xy301, xy4001, app(ty_Ratio, bbg)) -> new_esEs10(xy301, xy4001, bbg) 17.23/6.72 new_primEqInt(Neg(Succ(xy3000)), Neg(Zero)) -> False 17.23/6.72 new_primEqInt(Neg(Zero), Neg(Succ(xy40000))) -> False 17.23/6.72 new_esEs13(xy310, xy4010, app(app(app(ty_@3, cb), cc), cd)) -> new_esEs20(xy310, xy4010, cb, cc, cd) 17.23/6.72 new_esEs19(Left(xy300), Left(xy4000), ty_Double, bh) -> new_esEs14(xy300, xy4000) 17.23/6.72 new_primEqInt(Pos(Succ(xy3000)), Pos(Succ(xy40000))) -> new_primEqNat0(xy3000, xy40000) 17.23/6.72 new_esEs25(xy300, xy4000, app(app(app(ty_@3, baf), bag), bah)) -> new_esEs20(xy300, xy4000, baf, bag, bah) 17.23/6.72 new_esEs26(xy301, xy4001, ty_Double) -> new_esEs14(xy301, xy4001) 17.23/6.72 new_esEs7(xy30, xy400) -> new_primEqInt(xy30, xy400) 17.23/6.72 new_sr(Pos(xy3000), Neg(xy40010)) -> Neg(new_primMulNat0(xy3000, xy40010)) 17.23/6.72 new_sr(Neg(xy3000), Pos(xy40010)) -> Neg(new_primMulNat0(xy3000, xy40010)) 17.23/6.72 new_primPlusNat1(Succ(xy3200), Succ(xy4001000)) -> Succ(Succ(new_primPlusNat1(xy3200, xy4001000))) 17.23/6.72 new_esEs22(xy300, xy4000, ty_Integer) -> new_esEs8(xy300, xy4000) 17.23/6.72 new_primEqInt(Pos(Succ(xy3000)), Neg(xy4000)) -> False 17.23/6.72 new_primEqInt(Neg(Succ(xy3000)), Pos(xy4000)) -> False 17.23/6.72 new_esEs17(Just(xy300), Just(xy4000), app(ty_Maybe, gg)) -> new_esEs17(xy300, xy4000, gg) 17.23/6.72 new_esEs17(Just(xy300), Just(xy4000), ty_Bool) -> new_esEs18(xy300, xy4000) 17.23/6.72 new_esEs22(xy300, xy4000, ty_Int) -> new_esEs7(xy300, xy4000) 17.23/6.72 new_esEs17(Just(xy300), Just(xy4000), ty_@0) -> new_esEs21(xy300, xy4000) 17.23/6.72 new_esEs25(xy300, xy4000, ty_Char) -> new_esEs15(xy300, xy4000) 17.23/6.72 new_esEs24(xy302, xy4002, app(ty_Maybe, fd)) -> new_esEs17(xy302, xy4002, fd) 17.23/6.72 new_esEs23(xy301, xy4001, ty_Char) -> new_esEs15(xy301, xy4001) 17.23/6.72 new_esEs26(xy301, xy4001, ty_Bool) -> new_esEs18(xy301, xy4001) 17.23/6.72 new_esEs19(Right(xy300), Right(xy4000), bg, app(app(ty_Either, bdh), bea)) -> new_esEs19(xy300, xy4000, bdh, bea) 17.23/6.72 new_esEs23(xy301, xy4001, ty_Double) -> new_esEs14(xy301, xy4001) 17.23/6.72 new_esEs17(Just(xy300), Just(xy4000), ty_Double) -> new_esEs14(xy300, xy4000) 17.23/6.72 new_esEs24(xy302, xy4002, app(ty_Ratio, ga)) -> new_esEs10(xy302, xy4002, ga) 17.23/6.72 new_sr(Neg(xy3000), Neg(xy40010)) -> Pos(new_primMulNat0(xy3000, xy40010)) 17.23/6.72 new_esEs23(xy301, xy4001, ty_Float) -> new_esEs6(xy301, xy4001) 17.23/6.72 new_esEs4(xy30, xy400, ty_Double) -> new_esEs14(xy30, xy400) 17.23/6.72 new_esEs26(xy301, xy4001, ty_Ordering) -> new_esEs9(xy301, xy4001) 17.23/6.72 new_esEs13(xy310, xy4010, app(app(ty_@2, bd), be)) -> new_esEs16(xy310, xy4010, bd, be) 17.23/6.72 new_esEs19(Left(xy300), Left(xy4000), app(ty_[], bch), bh) -> new_esEs5(xy300, xy4000, bch) 17.23/6.72 new_esEs17(Just(xy300), Just(xy4000), ty_Float) -> new_esEs6(xy300, xy4000) 17.23/6.72 new_esEs23(xy301, xy4001, app(app(ty_Either, ec), ed)) -> new_esEs19(xy301, xy4001, ec, ed) 17.23/6.72 new_esEs14(Double(xy300, xy301), Double(xy4000, xy4001)) -> new_esEs7(new_sr(xy300, xy4001), new_sr(xy301, xy4000)) 17.23/6.72 new_primEqInt(Pos(Zero), Neg(Succ(xy40000))) -> False 17.23/6.72 new_primEqInt(Neg(Zero), Pos(Succ(xy40000))) -> False 17.23/6.72 new_esEs20(@3(xy300, xy301, xy302), @3(xy4000, xy4001, xy4002), cb, cc, cd) -> new_asAs(new_esEs22(xy300, xy4000, cb), new_asAs(new_esEs23(xy301, xy4001, cc), new_esEs24(xy302, xy4002, cd))) 17.23/6.72 new_esEs13(xy310, xy4010, ty_Float) -> new_esEs6(xy310, xy4010) 17.23/6.72 new_esEs9(GT, GT) -> True 17.23/6.72 new_esEs17(Just(xy300), Just(xy4000), ty_Char) -> new_esEs15(xy300, xy4000) 17.23/6.72 new_esEs11(xy300, xy4000, ty_Integer) -> new_esEs8(xy300, xy4000) 17.23/6.72 new_esEs18(False, True) -> False 17.23/6.72 new_esEs18(True, False) -> False 17.23/6.72 new_esEs17(Just(xy300), Just(xy4000), app(app(ty_Either, gh), ha)) -> new_esEs19(xy300, xy4000, gh, ha) 17.23/6.72 new_esEs22(xy300, xy4000, app(ty_Maybe, cg)) -> new_esEs17(xy300, xy4000, cg) 17.23/6.72 new_esEs19(Left(xy300), Left(xy4000), ty_Char, bh) -> new_esEs15(xy300, xy4000) 17.23/6.72 new_esEs26(xy301, xy4001, app(app(ty_@2, bba), bbb)) -> new_esEs16(xy301, xy4001, bba, bbb) 17.23/6.72 new_esEs24(xy302, xy4002, app(app(app(ty_@3, gb), gc), gd)) -> new_esEs20(xy302, xy4002, gb, gc, gd) 17.23/6.72 new_esEs13(xy310, xy4010, ty_Double) -> new_esEs14(xy310, xy4010) 17.23/6.72 new_esEs13(xy310, xy4010, app(ty_[], ca)) -> new_esEs5(xy310, xy4010, ca) 17.23/6.72 new_esEs4(xy30, xy400, ty_@0) -> new_esEs21(xy30, xy400) 17.23/6.72 new_esEs25(xy300, xy4000, ty_Double) -> new_esEs14(xy300, xy4000) 17.23/6.72 new_esEs19(Left(xy300), Left(xy4000), ty_Float, bh) -> new_esEs6(xy300, xy4000) 17.23/6.72 new_esEs26(xy301, xy4001, ty_Integer) -> new_esEs8(xy301, xy4001) 17.23/6.72 new_esEs26(xy301, xy4001, app(ty_Maybe, bbc)) -> new_esEs17(xy301, xy4001, bbc) 17.23/6.72 new_esEs10(:%(xy300, xy301), :%(xy4000, xy4001), bc) -> new_asAs(new_esEs11(xy300, xy4000, bc), new_esEs12(xy301, xy4001, bc)) 17.23/6.72 new_esEs4(xy30, xy400, app(app(ty_Either, bg), bh)) -> new_esEs19(xy30, xy400, bg, bh) 17.23/6.72 new_primEqInt(Neg(Succ(xy3000)), Neg(Succ(xy40000))) -> new_primEqNat0(xy3000, xy40000) 17.23/6.72 new_esEs9(EQ, GT) -> False 17.23/6.72 new_esEs9(GT, EQ) -> False 17.23/6.72 new_esEs19(Left(xy300), Left(xy4000), ty_Int, bh) -> new_esEs7(xy300, xy4000) 17.23/6.72 new_primPlusNat0(Succ(xy320), xy400100) -> Succ(Succ(new_primPlusNat1(xy320, xy400100))) 17.23/6.72 new_esEs13(xy310, xy4010, app(app(ty_Either, bg), bh)) -> new_esEs19(xy310, xy4010, bg, bh) 17.23/6.72 new_esEs25(xy300, xy4000, app(app(ty_Either, bab), bac)) -> new_esEs19(xy300, xy4000, bab, bac) 17.23/6.72 new_esEs22(xy300, xy4000, app(ty_Ratio, dd)) -> new_esEs10(xy300, xy4000, dd) 17.23/6.72 new_esEs19(Right(xy300), Right(xy4000), bg, ty_Int) -> new_esEs7(xy300, xy4000) 17.23/6.72 new_esEs19(Right(xy300), Right(xy4000), bg, ty_Char) -> new_esEs15(xy300, xy4000) 17.23/6.72 new_primPlusNat1(Zero, Zero) -> Zero 17.23/6.72 new_esEs12(xy301, xy4001, ty_Int) -> new_esEs7(xy301, xy4001) 17.23/6.72 new_primMulNat0(Succ(xy30000), Zero) -> Zero 17.23/6.72 new_primMulNat0(Zero, Succ(xy400100)) -> Zero 17.23/6.72 new_sr(Pos(xy3000), Pos(xy40010)) -> Pos(new_primMulNat0(xy3000, xy40010)) 17.23/6.72 new_primPlusNat0(Zero, xy400100) -> Succ(xy400100) 17.23/6.72 new_esEs19(Right(xy300), Right(xy4000), bg, app(ty_[], beb)) -> new_esEs5(xy300, xy4000, beb) 17.23/6.72 new_esEs24(xy302, xy4002, app(app(ty_@2, fb), fc)) -> new_esEs16(xy302, xy4002, fb, fc) 17.23/6.72 new_esEs19(Left(xy300), Left(xy4000), app(ty_Maybe, bce), bh) -> new_esEs17(xy300, xy4000, bce) 17.23/6.72 new_esEs23(xy301, xy4001, ty_@0) -> new_esEs21(xy301, xy4001) 17.23/6.72 new_esEs4(xy30, xy400, ty_Float) -> new_esEs6(xy30, xy400) 17.23/6.72 new_esEs25(xy300, xy4000, ty_Float) -> new_esEs6(xy300, xy4000) 17.23/6.72 new_esEs6(Float(xy300, xy301), Float(xy4000, xy4001)) -> new_esEs7(new_sr(xy300, xy4001), new_sr(xy301, xy4000)) 17.23/6.72 new_esEs26(xy301, xy4001, app(app(app(ty_@3, bbh), bca), bcb)) -> new_esEs20(xy301, xy4001, bbh, bca, bcb) 17.23/6.72 new_esEs19(Left(xy300), Left(xy4000), ty_@0, bh) -> new_esEs21(xy300, xy4000) 17.23/6.72 new_primEqInt(Neg(Zero), Neg(Zero)) -> True 17.23/6.72 new_esEs26(xy301, xy4001, app(app(ty_Either, bbd), bbe)) -> new_esEs19(xy301, xy4001, bbd, bbe) 17.23/6.72 new_esEs19(Right(xy300), Right(xy4000), bg, app(ty_Maybe, bdg)) -> new_esEs17(xy300, xy4000, bdg) 17.23/6.72 new_primMulNat0(Succ(xy30000), Succ(xy400100)) -> new_primPlusNat0(new_primMulNat0(xy30000, Succ(xy400100)), xy400100) 17.23/6.72 new_esEs26(xy301, xy4001, ty_Float) -> new_esEs6(xy301, xy4001) 17.23/6.72 new_esEs19(Right(xy300), Right(xy4000), bg, ty_Float) -> new_esEs6(xy300, xy4000) 17.23/6.72 new_esEs19(Left(xy300), Left(xy4000), ty_Integer, bh) -> new_esEs8(xy300, xy4000) 17.23/6.72 new_esEs23(xy301, xy4001, ty_Ordering) -> new_esEs9(xy301, xy4001) 17.23/6.72 new_esEs13(xy310, xy4010, app(ty_Maybe, bf)) -> new_esEs17(xy310, xy4010, bf) 17.23/6.72 new_esEs24(xy302, xy4002, ty_Int) -> new_esEs7(xy302, xy4002) 17.23/6.72 new_primPlusNat1(Succ(xy3200), Zero) -> Succ(xy3200) 17.23/6.72 new_primPlusNat1(Zero, Succ(xy4001000)) -> Succ(xy4001000) 17.23/6.72 new_esEs9(LT, LT) -> True 17.23/6.72 new_esEs25(xy300, xy4000, ty_Integer) -> new_esEs8(xy300, xy4000) 17.23/6.72 new_esEs17(Just(xy300), Just(xy4000), app(ty_[], hb)) -> new_esEs5(xy300, xy4000, hb) 17.23/6.72 new_esEs13(xy310, xy4010, app(ty_Ratio, bc)) -> new_esEs10(xy310, xy4010, bc) 17.23/6.72 new_esEs24(xy302, xy4002, ty_Integer) -> new_esEs8(xy302, xy4002) 17.23/6.72 new_primEqInt(Pos(Zero), Neg(Zero)) -> True 17.23/6.72 new_primEqInt(Neg(Zero), Pos(Zero)) -> True 17.23/6.72 new_esEs25(xy300, xy4000, ty_@0) -> new_esEs21(xy300, xy4000) 17.23/6.72 new_esEs25(xy300, xy4000, ty_Int) -> new_esEs7(xy300, xy4000) 17.23/6.72 new_esEs24(xy302, xy4002, ty_Bool) -> new_esEs18(xy302, xy4002) 17.23/6.72 new_esEs19(Right(xy300), Right(xy4000), bg, app(app(ty_@2, bde), bdf)) -> new_esEs16(xy300, xy4000, bde, bdf) 17.23/6.72 new_esEs5(:(xy310, xy311), [], bb) -> False 17.23/6.72 new_esEs5([], :(xy4010, xy4011), bb) -> False 17.23/6.72 new_primEqNat0(Zero, Zero) -> True 17.23/6.72 new_esEs13(xy310, xy4010, ty_Int) -> new_esEs7(xy310, xy4010) 17.23/6.72 new_esEs15(Char(xy300), Char(xy4000)) -> new_primEqNat0(xy300, xy4000) 17.23/6.72 new_esEs13(xy310, xy4010, ty_Ordering) -> new_esEs9(xy310, xy4010) 17.23/6.72 new_esEs9(LT, GT) -> False 17.23/6.72 new_esEs9(GT, LT) -> False 17.23/6.72 new_esEs5(:(xy310, xy311), :(xy4010, xy4011), bb) -> new_asAs(new_esEs13(xy310, xy4010, bb), new_esEs5(xy311, xy4011, bb)) 17.23/6.72 new_esEs17(Just(xy300), Just(xy4000), app(app(app(ty_@3, hd), he), hf)) -> new_esEs20(xy300, xy4000, hd, he, hf) 17.23/6.72 new_esEs24(xy302, xy4002, ty_@0) -> new_esEs21(xy302, xy4002) 17.23/6.72 new_asAs(False, xy31) -> False 17.23/6.72 new_esEs25(xy300, xy4000, app(app(ty_@2, hg), hh)) -> new_esEs16(xy300, xy4000, hg, hh) 17.23/6.72 new_esEs4(xy30, xy400, app(app(app(ty_@3, cb), cc), cd)) -> new_esEs20(xy30, xy400, cb, cc, cd) 17.23/6.72 new_esEs19(Left(xy300), Right(xy4000), bg, bh) -> False 17.23/6.72 new_esEs19(Right(xy300), Left(xy4000), bg, bh) -> False 17.23/6.72 new_esEs13(xy310, xy4010, ty_Integer) -> new_esEs8(xy310, xy4010) 17.23/6.72 new_esEs13(xy310, xy4010, ty_Bool) -> new_esEs18(xy310, xy4010) 17.23/6.72 new_esEs13(xy310, xy4010, ty_@0) -> new_esEs21(xy310, xy4010) 17.23/6.72 new_esEs26(xy301, xy4001, app(ty_[], bbf)) -> new_esEs5(xy301, xy4001, bbf) 17.23/6.72 new_esEs19(Left(xy300), Left(xy4000), app(app(ty_@2, bcc), bcd), bh) -> new_esEs16(xy300, xy4000, bcc, bcd) 17.23/6.72 new_esEs24(xy302, xy4002, ty_Ordering) -> new_esEs9(xy302, xy4002) 17.23/6.72 new_esEs22(xy300, xy4000, app(app(app(ty_@3, de), df), dg)) -> new_esEs20(xy300, xy4000, de, df, dg) 17.23/6.72 new_esEs4(xy30, xy400, ty_Char) -> new_esEs15(xy30, xy400) 17.23/6.72 17.23/6.72 The set Q consists of the following terms: 17.23/6.72 17.23/6.72 new_esEs4(x0, x1, ty_Integer) 17.23/6.72 new_esEs26(x0, x1, ty_Bool) 17.23/6.72 new_esEs9(EQ, EQ) 17.23/6.72 new_esEs26(x0, x1, ty_@0) 17.23/6.72 new_esEs17(Just(x0), Just(x1), app(app(app(ty_@3, x2), x3), x4)) 17.23/6.72 new_esEs23(x0, x1, ty_Bool) 17.23/6.72 new_esEs19(Right(x0), Right(x1), x2, ty_Int) 17.23/6.72 new_sr(Pos(x0), Neg(x1)) 17.23/6.72 new_sr(Neg(x0), Pos(x1)) 17.23/6.72 new_esEs24(x0, x1, ty_Integer) 17.23/6.72 new_sr(Neg(x0), Neg(x1)) 17.23/6.72 new_primPlusNat1(Zero, Succ(x0)) 17.23/6.72 new_primMulNat0(Zero, Zero) 17.23/6.72 new_esEs6(Float(x0, x1), Float(x2, x3)) 17.23/6.72 new_primPlusNat1(Zero, Zero) 17.23/6.72 new_esEs19(Right(x0), Right(x1), x2, ty_Ordering) 17.23/6.72 new_esEs13(x0, x1, ty_Bool) 17.23/6.72 new_esEs22(x0, x1, ty_@0) 17.23/6.72 new_esEs13(x0, x1, ty_@0) 17.23/6.72 new_esEs22(x0, x1, app(app(ty_@2, x2), x3)) 17.23/6.72 new_esEs13(x0, x1, app(app(ty_@2, x2), x3)) 17.23/6.72 new_esEs19(Right(x0), Right(x1), x2, app(app(ty_@2, x3), x4)) 17.23/6.72 new_esEs23(x0, x1, ty_@0) 17.23/6.72 new_esEs23(x0, x1, app(app(ty_@2, x2), x3)) 17.23/6.72 new_primEqInt(Pos(Succ(x0)), Neg(x1)) 17.23/6.72 new_primEqInt(Neg(Succ(x0)), Pos(x1)) 17.23/6.72 new_esEs18(True, True) 17.23/6.72 new_esEs25(x0, x1, ty_Char) 17.23/6.72 new_primMulNat0(Zero, Succ(x0)) 17.23/6.72 new_esEs19(Left(x0), Left(x1), app(app(ty_Either, x2), x3), x4) 17.23/6.72 new_primEqInt(Pos(Zero), Pos(Zero)) 17.23/6.72 new_esEs7(x0, x1) 17.23/6.72 new_esEs22(x0, x1, ty_Bool) 17.23/6.72 new_esEs26(x0, x1, app(app(ty_@2, x2), x3)) 17.23/6.72 new_esEs19(Right(x0), Right(x1), x2, ty_Float) 17.23/6.72 new_primEqInt(Pos(Zero), Neg(Succ(x0))) 17.23/6.72 new_primEqInt(Neg(Zero), Pos(Succ(x0))) 17.23/6.72 new_esEs19(Left(x0), Left(x1), app(ty_Maybe, x2), x3) 17.23/6.72 new_esEs5([], [], x0) 17.23/6.72 new_esEs17(Just(x0), Just(x1), app(ty_Maybe, x2)) 17.23/6.72 new_esEs22(x0, x1, ty_Char) 17.23/6.72 new_esEs12(x0, x1, ty_Int) 17.23/6.72 new_esEs22(x0, x1, app(app(app(ty_@3, x2), x3), x4)) 17.23/6.72 new_esEs17(Nothing, Just(x0), x1) 17.23/6.72 new_esEs24(x0, x1, app(ty_[], x2)) 17.23/6.72 new_esEs17(Just(x0), Just(x1), ty_Bool) 17.23/6.72 new_primEqInt(Neg(Zero), Neg(Zero)) 17.23/6.72 new_esEs19(Left(x0), Left(x1), ty_Bool, x2) 17.23/6.72 new_esEs25(x0, x1, ty_Bool) 17.23/6.72 new_esEs26(x0, x1, app(ty_[], x2)) 17.23/6.72 new_sr(Pos(x0), Pos(x1)) 17.23/6.72 new_esEs11(x0, x1, ty_Int) 17.23/6.72 new_primMulNat0(Succ(x0), Zero) 17.23/6.72 new_esEs24(x0, x1, ty_@0) 17.23/6.72 new_esEs25(x0, x1, app(app(ty_Either, x2), x3)) 17.23/6.72 new_esEs19(Left(x0), Left(x1), ty_Integer, x2) 17.23/6.72 new_primEqNat0(Succ(x0), Succ(x1)) 17.23/6.72 new_esEs19(Left(x0), Left(x1), app(ty_Ratio, x2), x3) 17.23/6.72 new_esEs4(x0, x1, app(ty_[], x2)) 17.23/6.72 new_esEs9(LT, LT) 17.23/6.72 new_esEs25(x0, x1, app(app(ty_@2, x2), x3)) 17.23/6.72 new_esEs17(Just(x0), Just(x1), app(ty_Ratio, x2)) 17.23/6.72 new_esEs17(Just(x0), Just(x1), ty_Int) 17.23/6.72 new_esEs19(Right(x0), Right(x1), x2, app(app(ty_Either, x3), x4)) 17.23/6.72 new_esEs13(x0, x1, ty_Integer) 17.23/6.72 new_esEs25(x0, x1, app(app(app(ty_@3, x2), x3), x4)) 17.23/6.72 new_esEs22(x0, x1, app(ty_[], x2)) 17.23/6.72 new_esEs24(x0, x1, ty_Float) 17.23/6.72 new_esEs4(x0, x1, app(app(ty_Either, x2), x3)) 17.23/6.72 new_esEs9(EQ, GT) 17.23/6.72 new_esEs9(GT, EQ) 17.23/6.72 new_asAs(True, x0) 17.23/6.72 new_primPlusNat1(Succ(x0), Succ(x1)) 17.23/6.72 new_asAs(False, x0) 17.23/6.72 new_esEs24(x0, x1, app(app(ty_@2, x2), x3)) 17.23/6.72 new_esEs17(Just(x0), Just(x1), ty_Char) 17.23/6.72 new_esEs25(x0, x1, ty_Int) 17.23/6.72 new_esEs22(x0, x1, ty_Int) 17.23/6.72 new_esEs25(x0, x1, app(ty_Maybe, x2)) 17.23/6.72 new_esEs19(Left(x0), Left(x1), app(app(ty_@2, x2), x3), x4) 17.23/6.72 new_esEs4(x0, x1, ty_Bool) 17.23/6.72 new_esEs22(x0, x1, app(ty_Ratio, x2)) 17.23/6.72 new_esEs4(x0, x1, app(ty_Maybe, x2)) 17.23/6.72 new_esEs17(Nothing, Nothing, x0) 17.23/6.72 new_esEs25(x0, x1, app(ty_[], x2)) 17.23/6.72 new_esEs18(False, False) 17.23/6.72 new_esEs19(Right(x0), Right(x1), x2, ty_@0) 17.23/6.72 new_esEs25(x0, x1, ty_@0) 17.23/6.72 new_primEqInt(Pos(Zero), Neg(Zero)) 17.23/6.72 new_primEqInt(Neg(Zero), Pos(Zero)) 17.23/6.72 new_esEs19(Left(x0), Left(x1), ty_Ordering, x2) 17.23/6.72 new_esEs4(x0, x1, app(ty_Ratio, x2)) 17.23/6.72 new_esEs10(:%(x0, x1), :%(x2, x3), x4) 17.23/6.72 new_esEs13(x0, x1, ty_Ordering) 17.23/6.72 new_esEs9(LT, EQ) 17.23/6.72 new_esEs9(EQ, LT) 17.23/6.72 new_esEs23(x0, x1, ty_Integer) 17.23/6.72 new_esEs9(GT, GT) 17.23/6.72 new_primPlusNat0(Succ(x0), x1) 17.23/6.72 new_esEs26(x0, x1, app(ty_Ratio, x2)) 17.23/6.72 new_primEqInt(Neg(Zero), Neg(Succ(x0))) 17.23/6.72 new_esEs23(x0, x1, app(app(ty_Either, x2), x3)) 17.23/6.72 new_esEs17(Just(x0), Just(x1), ty_Float) 17.23/6.72 new_esEs4(x0, x1, app(app(app(ty_@3, x2), x3), x4)) 17.23/6.72 new_esEs17(Just(x0), Just(x1), ty_@0) 17.23/6.72 new_esEs25(x0, x1, ty_Float) 17.23/6.72 new_esEs19(Right(x0), Right(x1), x2, ty_Double) 17.23/6.72 new_esEs17(Just(x0), Nothing, x1) 17.23/6.72 new_esEs22(x0, x1, ty_Float) 17.23/6.72 new_primEqInt(Pos(Succ(x0)), Pos(Succ(x1))) 17.23/6.72 new_esEs9(LT, GT) 17.23/6.72 new_esEs9(GT, LT) 17.23/6.72 new_esEs19(Right(x0), Right(x1), x2, app(ty_Ratio, x3)) 17.23/6.72 new_esEs19(Right(x0), Right(x1), x2, ty_Char) 17.23/6.72 new_esEs26(x0, x1, ty_Integer) 17.23/6.72 new_esEs13(x0, x1, app(app(ty_Either, x2), x3)) 17.23/6.72 new_esEs22(x0, x1, app(ty_Maybe, x2)) 17.23/6.72 new_esEs5([], :(x0, x1), x2) 17.23/6.72 new_esEs11(x0, x1, ty_Integer) 17.23/6.72 new_esEs20(@3(x0, x1, x2), @3(x3, x4, x5), x6, x7, x8) 17.23/6.72 new_esEs4(x0, x1, ty_Int) 17.23/6.72 new_esEs26(x0, x1, ty_Ordering) 17.23/6.72 new_esEs22(x0, x1, app(app(ty_Either, x2), x3)) 17.23/6.72 new_esEs26(x0, x1, ty_Double) 17.23/6.72 new_esEs19(Left(x0), Left(x1), app(ty_[], x2), x3) 17.23/6.72 new_esEs17(Just(x0), Just(x1), ty_Double) 17.23/6.72 new_esEs19(Right(x0), Right(x1), x2, ty_Bool) 17.23/6.72 new_esEs19(Left(x0), Left(x1), ty_Double, x2) 17.23/6.72 new_esEs13(x0, x1, ty_Float) 17.23/6.72 new_esEs19(Left(x0), Left(x1), app(app(app(ty_@3, x2), x3), x4), x5) 17.23/6.72 new_esEs26(x0, x1, app(app(ty_Either, x2), x3)) 17.23/6.72 new_esEs13(x0, x1, app(ty_Maybe, x2)) 17.23/6.72 new_esEs23(x0, x1, ty_Int) 17.23/6.72 new_esEs23(x0, x1, ty_Ordering) 17.23/6.72 new_primPlusNat0(Zero, x0) 17.23/6.72 new_primEqInt(Neg(Succ(x0)), Neg(Zero)) 17.23/6.72 new_primEqInt(Neg(Succ(x0)), Neg(Succ(x1))) 17.23/6.72 new_esEs13(x0, x1, app(ty_[], x2)) 17.23/6.72 new_primEqInt(Pos(Succ(x0)), Pos(Zero)) 17.23/6.72 new_esEs18(False, True) 17.23/6.72 new_esEs18(True, False) 17.23/6.72 new_esEs12(x0, x1, ty_Integer) 17.23/6.72 new_esEs24(x0, x1, app(ty_Maybe, x2)) 17.23/6.72 new_esEs23(x0, x1, app(ty_Maybe, x2)) 17.23/6.72 new_esEs4(x0, x1, ty_Double) 17.23/6.72 new_esEs19(Right(x0), Right(x1), x2, ty_Integer) 17.23/6.72 new_esEs25(x0, x1, ty_Double) 17.23/6.72 new_esEs24(x0, x1, ty_Int) 17.23/6.72 new_esEs13(x0, x1, app(ty_Ratio, x2)) 17.23/6.72 new_esEs4(x0, x1, ty_Ordering) 17.23/6.72 new_esEs26(x0, x1, app(app(app(ty_@3, x2), x3), x4)) 17.23/6.72 new_esEs8(Integer(x0), Integer(x1)) 17.23/6.72 new_esEs4(x0, x1, ty_Char) 17.23/6.72 new_esEs17(Just(x0), Just(x1), app(app(ty_@2, x2), x3)) 17.23/6.72 new_esEs23(x0, x1, ty_Double) 17.23/6.72 new_esEs22(x0, x1, ty_Double) 17.23/6.72 new_esEs15(Char(x0), Char(x1)) 17.23/6.72 new_esEs23(x0, x1, ty_Char) 17.23/6.72 new_esEs24(x0, x1, ty_Char) 17.23/6.72 new_esEs24(x0, x1, ty_Double) 17.23/6.72 new_esEs23(x0, x1, app(ty_Ratio, x2)) 17.23/6.72 new_esEs13(x0, x1, app(app(app(ty_@3, x2), x3), x4)) 17.23/6.72 new_esEs23(x0, x1, app(app(app(ty_@3, x2), x3), x4)) 17.23/6.72 new_esEs22(x0, x1, ty_Integer) 17.23/6.72 new_primEqNat0(Zero, Zero) 17.23/6.72 new_esEs17(Just(x0), Just(x1), ty_Integer) 17.23/6.72 new_esEs19(Right(x0), Right(x1), x2, app(app(app(ty_@3, x3), x4), x5)) 17.23/6.72 new_esEs24(x0, x1, app(app(ty_Either, x2), x3)) 17.23/6.72 new_esEs13(x0, x1, ty_Int) 17.23/6.72 new_esEs24(x0, x1, app(ty_Ratio, x2)) 17.23/6.72 new_esEs19(Left(x0), Left(x1), ty_Int, x2) 17.23/6.72 new_esEs16(@2(x0, x1), @2(x2, x3), x4, x5) 17.23/6.72 new_esEs26(x0, x1, ty_Char) 17.23/6.72 new_esEs25(x0, x1, app(ty_Ratio, x2)) 17.23/6.72 new_esEs23(x0, x1, app(ty_[], x2)) 17.23/6.72 new_esEs19(Right(x0), Right(x1), x2, app(ty_[], x3)) 17.23/6.72 new_esEs4(x0, x1, ty_@0) 17.23/6.72 new_esEs4(x0, x1, app(app(ty_@2, x2), x3)) 17.23/6.72 new_primPlusNat1(Succ(x0), Zero) 17.23/6.72 new_primEqNat0(Succ(x0), Zero) 17.23/6.72 new_esEs24(x0, x1, ty_Bool) 17.23/6.72 new_primMulNat0(Succ(x0), Succ(x1)) 17.23/6.72 new_esEs19(Left(x0), Left(x1), ty_Char, x2) 17.23/6.72 new_esEs4(x0, x1, ty_Float) 17.23/6.72 new_esEs5(:(x0, x1), :(x2, x3), x4) 17.23/6.72 new_primEqInt(Pos(Zero), Pos(Succ(x0))) 17.23/6.72 new_esEs24(x0, x1, ty_Ordering) 17.23/6.72 new_esEs26(x0, x1, ty_Int) 17.23/6.72 new_esEs22(x0, x1, ty_Ordering) 17.23/6.72 new_esEs24(x0, x1, app(app(app(ty_@3, x2), x3), x4)) 17.23/6.72 new_esEs17(Just(x0), Just(x1), ty_Ordering) 17.23/6.72 new_esEs19(Right(x0), Right(x1), x2, app(ty_Maybe, x3)) 17.23/6.72 new_esEs21(@0, @0) 17.23/6.72 new_esEs23(x0, x1, ty_Float) 17.23/6.72 new_esEs25(x0, x1, ty_Ordering) 17.23/6.72 new_esEs13(x0, x1, ty_Double) 17.23/6.72 new_esEs19(Left(x0), Left(x1), ty_Float, x2) 17.23/6.72 new_esEs25(x0, x1, ty_Integer) 17.23/6.72 new_esEs14(Double(x0, x1), Double(x2, x3)) 17.23/6.72 new_esEs19(Left(x0), Right(x1), x2, x3) 17.23/6.72 new_esEs19(Right(x0), Left(x1), x2, x3) 17.23/6.72 new_esEs5(:(x0, x1), [], x2) 17.23/6.72 new_esEs19(Left(x0), Left(x1), ty_@0, x2) 17.23/6.72 new_esEs17(Just(x0), Just(x1), app(ty_[], x2)) 17.23/6.72 new_primEqNat0(Zero, Succ(x0)) 17.23/6.72 new_esEs17(Just(x0), Just(x1), app(app(ty_Either, x2), x3)) 17.23/6.72 new_esEs13(x0, x1, ty_Char) 17.23/6.72 new_esEs26(x0, x1, app(ty_Maybe, x2)) 17.23/6.72 new_esEs26(x0, x1, ty_Float) 17.23/6.72 17.23/6.72 We have to consider all minimal (P,Q,R)-chains. 17.23/6.72 ---------------------------------------- 17.23/6.72 17.23/6.72 (13) DependencyGraphProof (EQUIVALENT) 17.23/6.72 The approximation of the Dependency Graph [LPAR04,FROCOS05,EDGSTAR] contains 2 SCCs. 17.23/6.72 ---------------------------------------- 17.23/6.72 17.23/6.72 (14) 17.23/6.72 Complex Obligation (AND) 17.23/6.72 17.23/6.72 ---------------------------------------- 17.23/6.72 17.23/6.72 (15) 17.23/6.72 Obligation: 17.23/6.72 Q DP problem: 17.23/6.72 The TRS P consists of the following rules: 17.23/6.72 17.23/6.72 new_deleteBy([], :(:(xy400, xy401), xy41), bb) -> new_deleteBy([], xy41, bb) 17.23/6.72 17.23/6.72 The TRS R consists of the following rules: 17.23/6.72 17.23/6.72 new_esEs23(xy301, xy4001, app(ty_Ratio, ef)) -> new_esEs10(xy301, xy4001, ef) 17.23/6.72 new_esEs11(xy300, xy4000, ty_Int) -> new_esEs7(xy300, xy4000) 17.23/6.72 new_esEs22(xy300, xy4000, ty_Float) -> new_esEs6(xy300, xy4000) 17.23/6.72 new_primEqInt(Pos(Zero), Pos(Zero)) -> True 17.23/6.72 new_esEs12(xy301, xy4001, ty_Integer) -> new_esEs8(xy301, xy4001) 17.23/6.72 new_esEs4(xy30, xy400, app(ty_Maybe, bf)) -> new_esEs17(xy30, xy400, bf) 17.23/6.72 new_esEs22(xy300, xy4000, ty_Double) -> new_esEs14(xy300, xy4000) 17.23/6.72 new_esEs22(xy300, xy4000, app(app(ty_Either, da), db)) -> new_esEs19(xy300, xy4000, da, db) 17.23/6.72 new_esEs22(xy300, xy4000, ty_@0) -> new_esEs21(xy300, xy4000) 17.23/6.72 new_esEs18(True, True) -> True 17.23/6.72 new_esEs22(xy300, xy4000, ty_Char) -> new_esEs15(xy300, xy4000) 17.23/6.72 new_esEs24(xy302, xy4002, ty_Char) -> new_esEs15(xy302, xy4002) 17.23/6.72 new_esEs19(Left(xy300), Left(xy4000), app(app(ty_Either, bcf), bcg), bh) -> new_esEs19(xy300, xy4000, bcf, bcg) 17.23/6.72 new_esEs25(xy300, xy4000, ty_Bool) -> new_esEs18(xy300, xy4000) 17.23/6.72 new_esEs19(Right(xy300), Right(xy4000), bg, ty_Ordering) -> new_esEs9(xy300, xy4000) 17.23/6.72 new_esEs24(xy302, xy4002, ty_Double) -> new_esEs14(xy302, xy4002) 17.23/6.72 new_esEs25(xy300, xy4000, app(ty_Maybe, baa)) -> new_esEs17(xy300, xy4000, baa) 17.23/6.72 new_esEs9(LT, EQ) -> False 17.23/6.72 new_esEs9(EQ, LT) -> False 17.23/6.72 new_esEs17(Just(xy300), Just(xy4000), app(ty_Ratio, hc)) -> new_esEs10(xy300, xy4000, hc) 17.23/6.72 new_esEs16(@2(xy300, xy301), @2(xy4000, xy4001), bd, be) -> new_asAs(new_esEs25(xy300, xy4000, bd), new_esEs26(xy301, xy4001, be)) 17.23/6.72 new_esEs19(Right(xy300), Right(xy4000), bg, ty_Bool) -> new_esEs18(xy300, xy4000) 17.23/6.72 new_esEs5([], [], bb) -> True 17.23/6.72 new_asAs(True, xy31) -> xy31 17.23/6.72 new_esEs4(xy30, xy400, ty_Bool) -> new_esEs18(xy30, xy400) 17.23/6.72 new_esEs25(xy300, xy4000, app(ty_[], bad)) -> new_esEs5(xy300, xy4000, bad) 17.23/6.72 new_esEs8(Integer(xy300), Integer(xy4000)) -> new_primEqInt(xy300, xy4000) 17.23/6.72 new_primEqInt(Pos(Succ(xy3000)), Pos(Zero)) -> False 17.23/6.72 new_primEqInt(Pos(Zero), Pos(Succ(xy40000))) -> False 17.23/6.72 new_esEs25(xy300, xy4000, ty_Ordering) -> new_esEs9(xy300, xy4000) 17.23/6.72 new_esEs19(Left(xy300), Left(xy4000), ty_Ordering, bh) -> new_esEs9(xy300, xy4000) 17.23/6.72 new_esEs26(xy301, xy4001, ty_Char) -> new_esEs15(xy301, xy4001) 17.23/6.72 new_esEs19(Right(xy300), Right(xy4000), bg, ty_Integer) -> new_esEs8(xy300, xy4000) 17.23/6.72 new_esEs23(xy301, xy4001, app(app(app(ty_@3, eg), eh), fa)) -> new_esEs20(xy301, xy4001, eg, eh, fa) 17.23/6.72 new_esEs4(xy30, xy400, app(ty_[], ca)) -> new_esEs5(xy30, xy400, ca) 17.23/6.72 new_esEs4(xy30, xy400, ty_Ordering) -> new_esEs9(xy30, xy400) 17.23/6.72 new_esEs23(xy301, xy4001, app(ty_Maybe, eb)) -> new_esEs17(xy301, xy4001, eb) 17.23/6.72 new_esEs23(xy301, xy4001, ty_Bool) -> new_esEs18(xy301, xy4001) 17.23/6.72 new_esEs18(False, False) -> True 17.23/6.72 new_primEqNat0(Succ(xy3000), Succ(xy40000)) -> new_primEqNat0(xy3000, xy40000) 17.23/6.72 new_esEs17(Nothing, Nothing, bf) -> True 17.23/6.72 new_esEs4(xy30, xy400, app(ty_Ratio, bc)) -> new_esEs10(xy30, xy400, bc) 17.23/6.72 new_esEs22(xy300, xy4000, app(ty_[], dc)) -> new_esEs5(xy300, xy4000, dc) 17.23/6.72 new_esEs17(Nothing, Just(xy4000), bf) -> False 17.23/6.72 new_esEs17(Just(xy300), Nothing, bf) -> False 17.23/6.72 new_esEs19(Left(xy300), Left(xy4000), ty_Bool, bh) -> new_esEs18(xy300, xy4000) 17.23/6.72 new_esEs26(xy301, xy4001, ty_Int) -> new_esEs7(xy301, xy4001) 17.23/6.72 new_esEs25(xy300, xy4000, app(ty_Ratio, bae)) -> new_esEs10(xy300, xy4000, bae) 17.23/6.72 new_esEs19(Right(xy300), Right(xy4000), bg, app(ty_Ratio, bec)) -> new_esEs10(xy300, xy4000, bec) 17.23/6.72 new_esEs19(Left(xy300), Left(xy4000), app(app(app(ty_@3, bdb), bdc), bdd), bh) -> new_esEs20(xy300, xy4000, bdb, bdc, bdd) 17.23/6.72 new_esEs19(Right(xy300), Right(xy4000), bg, ty_@0) -> new_esEs21(xy300, xy4000) 17.23/6.72 new_esEs4(xy30, xy400, ty_Integer) -> new_esEs8(xy30, xy400) 17.23/6.72 new_esEs17(Just(xy300), Just(xy4000), app(app(ty_@2, ge), gf)) -> new_esEs16(xy300, xy4000, ge, gf) 17.23/6.72 new_esEs19(Right(xy300), Right(xy4000), bg, app(app(app(ty_@3, bed), bee), bef)) -> new_esEs20(xy300, xy4000, bed, bee, bef) 17.23/6.72 new_esEs23(xy301, xy4001, ty_Int) -> new_esEs7(xy301, xy4001) 17.23/6.72 new_primMulNat0(Zero, Zero) -> Zero 17.23/6.72 new_esEs23(xy301, xy4001, app(ty_[], ee)) -> new_esEs5(xy301, xy4001, ee) 17.23/6.72 new_esEs22(xy300, xy4000, ty_Bool) -> new_esEs18(xy300, xy4000) 17.23/6.72 new_esEs23(xy301, xy4001, ty_Integer) -> new_esEs8(xy301, xy4001) 17.23/6.72 new_esEs19(Left(xy300), Left(xy4000), app(ty_Ratio, bda), bh) -> new_esEs10(xy300, xy4000, bda) 17.23/6.72 new_esEs4(xy30, xy400, app(app(ty_@2, bd), be)) -> new_esEs16(xy30, xy400, bd, be) 17.23/6.72 new_esEs17(Just(xy300), Just(xy4000), ty_Integer) -> new_esEs8(xy300, xy4000) 17.23/6.72 new_esEs23(xy301, xy4001, app(app(ty_@2, dh), ea)) -> new_esEs16(xy301, xy4001, dh, ea) 17.23/6.72 new_esEs19(Right(xy300), Right(xy4000), bg, ty_Double) -> new_esEs14(xy300, xy4000) 17.23/6.72 new_esEs17(Just(xy300), Just(xy4000), ty_Int) -> new_esEs7(xy300, xy4000) 17.23/6.72 new_esEs17(Just(xy300), Just(xy4000), ty_Ordering) -> new_esEs9(xy300, xy4000) 17.23/6.72 new_esEs26(xy301, xy4001, ty_@0) -> new_esEs21(xy301, xy4001) 17.23/6.72 new_esEs4(xy30, xy400, ty_Int) -> new_esEs7(xy30, xy400) 17.23/6.72 new_primEqNat0(Succ(xy3000), Zero) -> False 17.23/6.72 new_primEqNat0(Zero, Succ(xy40000)) -> False 17.23/6.72 new_esEs24(xy302, xy4002, app(ty_[], fh)) -> new_esEs5(xy302, xy4002, fh) 17.23/6.72 new_esEs21(@0, @0) -> True 17.23/6.72 new_esEs13(xy310, xy4010, ty_Char) -> new_esEs15(xy310, xy4010) 17.23/6.72 new_esEs22(xy300, xy4000, ty_Ordering) -> new_esEs9(xy300, xy4000) 17.23/6.72 new_esEs22(xy300, xy4000, app(app(ty_@2, ce), cf)) -> new_esEs16(xy300, xy4000, ce, cf) 17.23/6.72 new_esEs9(EQ, EQ) -> True 17.23/6.72 new_esEs24(xy302, xy4002, ty_Float) -> new_esEs6(xy302, xy4002) 17.23/6.72 new_esEs24(xy302, xy4002, app(app(ty_Either, ff), fg)) -> new_esEs19(xy302, xy4002, ff, fg) 17.23/6.72 new_esEs26(xy301, xy4001, app(ty_Ratio, bbg)) -> new_esEs10(xy301, xy4001, bbg) 17.23/6.72 new_primEqInt(Neg(Succ(xy3000)), Neg(Zero)) -> False 17.23/6.72 new_primEqInt(Neg(Zero), Neg(Succ(xy40000))) -> False 17.23/6.72 new_esEs13(xy310, xy4010, app(app(app(ty_@3, cb), cc), cd)) -> new_esEs20(xy310, xy4010, cb, cc, cd) 17.23/6.72 new_esEs19(Left(xy300), Left(xy4000), ty_Double, bh) -> new_esEs14(xy300, xy4000) 17.23/6.72 new_primEqInt(Pos(Succ(xy3000)), Pos(Succ(xy40000))) -> new_primEqNat0(xy3000, xy40000) 17.23/6.72 new_esEs25(xy300, xy4000, app(app(app(ty_@3, baf), bag), bah)) -> new_esEs20(xy300, xy4000, baf, bag, bah) 17.23/6.72 new_esEs26(xy301, xy4001, ty_Double) -> new_esEs14(xy301, xy4001) 17.23/6.72 new_esEs7(xy30, xy400) -> new_primEqInt(xy30, xy400) 17.23/6.72 new_sr(Pos(xy3000), Neg(xy40010)) -> Neg(new_primMulNat0(xy3000, xy40010)) 17.23/6.72 new_sr(Neg(xy3000), Pos(xy40010)) -> Neg(new_primMulNat0(xy3000, xy40010)) 17.23/6.72 new_primPlusNat1(Succ(xy3200), Succ(xy4001000)) -> Succ(Succ(new_primPlusNat1(xy3200, xy4001000))) 17.23/6.72 new_esEs22(xy300, xy4000, ty_Integer) -> new_esEs8(xy300, xy4000) 17.23/6.72 new_primEqInt(Pos(Succ(xy3000)), Neg(xy4000)) -> False 17.23/6.72 new_primEqInt(Neg(Succ(xy3000)), Pos(xy4000)) -> False 17.23/6.72 new_esEs17(Just(xy300), Just(xy4000), app(ty_Maybe, gg)) -> new_esEs17(xy300, xy4000, gg) 17.23/6.72 new_esEs17(Just(xy300), Just(xy4000), ty_Bool) -> new_esEs18(xy300, xy4000) 17.23/6.72 new_esEs22(xy300, xy4000, ty_Int) -> new_esEs7(xy300, xy4000) 17.23/6.72 new_esEs17(Just(xy300), Just(xy4000), ty_@0) -> new_esEs21(xy300, xy4000) 17.23/6.72 new_esEs25(xy300, xy4000, ty_Char) -> new_esEs15(xy300, xy4000) 17.23/6.72 new_esEs24(xy302, xy4002, app(ty_Maybe, fd)) -> new_esEs17(xy302, xy4002, fd) 17.23/6.72 new_esEs23(xy301, xy4001, ty_Char) -> new_esEs15(xy301, xy4001) 17.23/6.72 new_esEs26(xy301, xy4001, ty_Bool) -> new_esEs18(xy301, xy4001) 17.23/6.72 new_esEs19(Right(xy300), Right(xy4000), bg, app(app(ty_Either, bdh), bea)) -> new_esEs19(xy300, xy4000, bdh, bea) 17.23/6.72 new_esEs23(xy301, xy4001, ty_Double) -> new_esEs14(xy301, xy4001) 17.23/6.72 new_esEs17(Just(xy300), Just(xy4000), ty_Double) -> new_esEs14(xy300, xy4000) 17.23/6.72 new_esEs24(xy302, xy4002, app(ty_Ratio, ga)) -> new_esEs10(xy302, xy4002, ga) 17.23/6.72 new_sr(Neg(xy3000), Neg(xy40010)) -> Pos(new_primMulNat0(xy3000, xy40010)) 17.23/6.72 new_esEs23(xy301, xy4001, ty_Float) -> new_esEs6(xy301, xy4001) 17.23/6.72 new_esEs4(xy30, xy400, ty_Double) -> new_esEs14(xy30, xy400) 17.23/6.72 new_esEs26(xy301, xy4001, ty_Ordering) -> new_esEs9(xy301, xy4001) 17.23/6.72 new_esEs13(xy310, xy4010, app(app(ty_@2, bd), be)) -> new_esEs16(xy310, xy4010, bd, be) 17.23/6.72 new_esEs19(Left(xy300), Left(xy4000), app(ty_[], bch), bh) -> new_esEs5(xy300, xy4000, bch) 17.23/6.72 new_esEs17(Just(xy300), Just(xy4000), ty_Float) -> new_esEs6(xy300, xy4000) 17.23/6.72 new_esEs23(xy301, xy4001, app(app(ty_Either, ec), ed)) -> new_esEs19(xy301, xy4001, ec, ed) 17.23/6.72 new_esEs14(Double(xy300, xy301), Double(xy4000, xy4001)) -> new_esEs7(new_sr(xy300, xy4001), new_sr(xy301, xy4000)) 17.23/6.72 new_primEqInt(Pos(Zero), Neg(Succ(xy40000))) -> False 17.23/6.72 new_primEqInt(Neg(Zero), Pos(Succ(xy40000))) -> False 17.23/6.72 new_esEs20(@3(xy300, xy301, xy302), @3(xy4000, xy4001, xy4002), cb, cc, cd) -> new_asAs(new_esEs22(xy300, xy4000, cb), new_asAs(new_esEs23(xy301, xy4001, cc), new_esEs24(xy302, xy4002, cd))) 17.23/6.72 new_esEs13(xy310, xy4010, ty_Float) -> new_esEs6(xy310, xy4010) 17.23/6.72 new_esEs9(GT, GT) -> True 17.23/6.72 new_esEs17(Just(xy300), Just(xy4000), ty_Char) -> new_esEs15(xy300, xy4000) 17.23/6.72 new_esEs11(xy300, xy4000, ty_Integer) -> new_esEs8(xy300, xy4000) 17.23/6.72 new_esEs18(False, True) -> False 17.23/6.72 new_esEs18(True, False) -> False 17.23/6.72 new_esEs17(Just(xy300), Just(xy4000), app(app(ty_Either, gh), ha)) -> new_esEs19(xy300, xy4000, gh, ha) 17.23/6.72 new_esEs22(xy300, xy4000, app(ty_Maybe, cg)) -> new_esEs17(xy300, xy4000, cg) 17.23/6.72 new_esEs19(Left(xy300), Left(xy4000), ty_Char, bh) -> new_esEs15(xy300, xy4000) 17.23/6.72 new_esEs26(xy301, xy4001, app(app(ty_@2, bba), bbb)) -> new_esEs16(xy301, xy4001, bba, bbb) 17.23/6.72 new_esEs24(xy302, xy4002, app(app(app(ty_@3, gb), gc), gd)) -> new_esEs20(xy302, xy4002, gb, gc, gd) 17.23/6.72 new_esEs13(xy310, xy4010, ty_Double) -> new_esEs14(xy310, xy4010) 17.23/6.72 new_esEs13(xy310, xy4010, app(ty_[], ca)) -> new_esEs5(xy310, xy4010, ca) 17.23/6.72 new_esEs4(xy30, xy400, ty_@0) -> new_esEs21(xy30, xy400) 17.23/6.72 new_esEs25(xy300, xy4000, ty_Double) -> new_esEs14(xy300, xy4000) 17.23/6.72 new_esEs19(Left(xy300), Left(xy4000), ty_Float, bh) -> new_esEs6(xy300, xy4000) 17.23/6.72 new_esEs26(xy301, xy4001, ty_Integer) -> new_esEs8(xy301, xy4001) 17.23/6.72 new_esEs26(xy301, xy4001, app(ty_Maybe, bbc)) -> new_esEs17(xy301, xy4001, bbc) 17.23/6.72 new_esEs10(:%(xy300, xy301), :%(xy4000, xy4001), bc) -> new_asAs(new_esEs11(xy300, xy4000, bc), new_esEs12(xy301, xy4001, bc)) 17.23/6.72 new_esEs4(xy30, xy400, app(app(ty_Either, bg), bh)) -> new_esEs19(xy30, xy400, bg, bh) 17.23/6.72 new_primEqInt(Neg(Succ(xy3000)), Neg(Succ(xy40000))) -> new_primEqNat0(xy3000, xy40000) 17.23/6.72 new_esEs9(EQ, GT) -> False 17.23/6.72 new_esEs9(GT, EQ) -> False 17.23/6.72 new_esEs19(Left(xy300), Left(xy4000), ty_Int, bh) -> new_esEs7(xy300, xy4000) 17.23/6.72 new_primPlusNat0(Succ(xy320), xy400100) -> Succ(Succ(new_primPlusNat1(xy320, xy400100))) 17.23/6.72 new_esEs13(xy310, xy4010, app(app(ty_Either, bg), bh)) -> new_esEs19(xy310, xy4010, bg, bh) 17.23/6.72 new_esEs25(xy300, xy4000, app(app(ty_Either, bab), bac)) -> new_esEs19(xy300, xy4000, bab, bac) 17.23/6.72 new_esEs22(xy300, xy4000, app(ty_Ratio, dd)) -> new_esEs10(xy300, xy4000, dd) 17.23/6.72 new_esEs19(Right(xy300), Right(xy4000), bg, ty_Int) -> new_esEs7(xy300, xy4000) 17.23/6.72 new_esEs19(Right(xy300), Right(xy4000), bg, ty_Char) -> new_esEs15(xy300, xy4000) 17.23/6.72 new_primPlusNat1(Zero, Zero) -> Zero 17.23/6.72 new_esEs12(xy301, xy4001, ty_Int) -> new_esEs7(xy301, xy4001) 17.23/6.72 new_primMulNat0(Succ(xy30000), Zero) -> Zero 17.23/6.72 new_primMulNat0(Zero, Succ(xy400100)) -> Zero 17.23/6.72 new_sr(Pos(xy3000), Pos(xy40010)) -> Pos(new_primMulNat0(xy3000, xy40010)) 17.23/6.72 new_primPlusNat0(Zero, xy400100) -> Succ(xy400100) 17.23/6.72 new_esEs19(Right(xy300), Right(xy4000), bg, app(ty_[], beb)) -> new_esEs5(xy300, xy4000, beb) 17.23/6.72 new_esEs24(xy302, xy4002, app(app(ty_@2, fb), fc)) -> new_esEs16(xy302, xy4002, fb, fc) 17.23/6.72 new_esEs19(Left(xy300), Left(xy4000), app(ty_Maybe, bce), bh) -> new_esEs17(xy300, xy4000, bce) 17.23/6.72 new_esEs23(xy301, xy4001, ty_@0) -> new_esEs21(xy301, xy4001) 17.23/6.72 new_esEs4(xy30, xy400, ty_Float) -> new_esEs6(xy30, xy400) 17.23/6.72 new_esEs25(xy300, xy4000, ty_Float) -> new_esEs6(xy300, xy4000) 17.23/6.72 new_esEs6(Float(xy300, xy301), Float(xy4000, xy4001)) -> new_esEs7(new_sr(xy300, xy4001), new_sr(xy301, xy4000)) 17.23/6.72 new_esEs26(xy301, xy4001, app(app(app(ty_@3, bbh), bca), bcb)) -> new_esEs20(xy301, xy4001, bbh, bca, bcb) 17.23/6.72 new_esEs19(Left(xy300), Left(xy4000), ty_@0, bh) -> new_esEs21(xy300, xy4000) 17.23/6.72 new_primEqInt(Neg(Zero), Neg(Zero)) -> True 17.23/6.72 new_esEs26(xy301, xy4001, app(app(ty_Either, bbd), bbe)) -> new_esEs19(xy301, xy4001, bbd, bbe) 17.23/6.72 new_esEs19(Right(xy300), Right(xy4000), bg, app(ty_Maybe, bdg)) -> new_esEs17(xy300, xy4000, bdg) 17.23/6.72 new_primMulNat0(Succ(xy30000), Succ(xy400100)) -> new_primPlusNat0(new_primMulNat0(xy30000, Succ(xy400100)), xy400100) 17.23/6.72 new_esEs26(xy301, xy4001, ty_Float) -> new_esEs6(xy301, xy4001) 17.23/6.72 new_esEs19(Right(xy300), Right(xy4000), bg, ty_Float) -> new_esEs6(xy300, xy4000) 17.23/6.72 new_esEs19(Left(xy300), Left(xy4000), ty_Integer, bh) -> new_esEs8(xy300, xy4000) 17.23/6.72 new_esEs23(xy301, xy4001, ty_Ordering) -> new_esEs9(xy301, xy4001) 17.23/6.72 new_esEs13(xy310, xy4010, app(ty_Maybe, bf)) -> new_esEs17(xy310, xy4010, bf) 17.23/6.72 new_esEs24(xy302, xy4002, ty_Int) -> new_esEs7(xy302, xy4002) 17.23/6.72 new_primPlusNat1(Succ(xy3200), Zero) -> Succ(xy3200) 17.23/6.72 new_primPlusNat1(Zero, Succ(xy4001000)) -> Succ(xy4001000) 17.23/6.72 new_esEs9(LT, LT) -> True 17.23/6.72 new_esEs25(xy300, xy4000, ty_Integer) -> new_esEs8(xy300, xy4000) 17.23/6.72 new_esEs17(Just(xy300), Just(xy4000), app(ty_[], hb)) -> new_esEs5(xy300, xy4000, hb) 17.23/6.72 new_esEs13(xy310, xy4010, app(ty_Ratio, bc)) -> new_esEs10(xy310, xy4010, bc) 17.23/6.72 new_esEs24(xy302, xy4002, ty_Integer) -> new_esEs8(xy302, xy4002) 17.23/6.72 new_primEqInt(Pos(Zero), Neg(Zero)) -> True 17.23/6.72 new_primEqInt(Neg(Zero), Pos(Zero)) -> True 17.23/6.72 new_esEs25(xy300, xy4000, ty_@0) -> new_esEs21(xy300, xy4000) 17.23/6.72 new_esEs25(xy300, xy4000, ty_Int) -> new_esEs7(xy300, xy4000) 17.23/6.72 new_esEs24(xy302, xy4002, ty_Bool) -> new_esEs18(xy302, xy4002) 17.23/6.72 new_esEs19(Right(xy300), Right(xy4000), bg, app(app(ty_@2, bde), bdf)) -> new_esEs16(xy300, xy4000, bde, bdf) 17.23/6.72 new_esEs5(:(xy310, xy311), [], bb) -> False 17.23/6.72 new_esEs5([], :(xy4010, xy4011), bb) -> False 17.23/6.72 new_primEqNat0(Zero, Zero) -> True 17.23/6.72 new_esEs13(xy310, xy4010, ty_Int) -> new_esEs7(xy310, xy4010) 17.23/6.72 new_esEs15(Char(xy300), Char(xy4000)) -> new_primEqNat0(xy300, xy4000) 17.23/6.72 new_esEs13(xy310, xy4010, ty_Ordering) -> new_esEs9(xy310, xy4010) 17.23/6.72 new_esEs9(LT, GT) -> False 17.23/6.72 new_esEs9(GT, LT) -> False 17.23/6.72 new_esEs5(:(xy310, xy311), :(xy4010, xy4011), bb) -> new_asAs(new_esEs13(xy310, xy4010, bb), new_esEs5(xy311, xy4011, bb)) 17.23/6.72 new_esEs17(Just(xy300), Just(xy4000), app(app(app(ty_@3, hd), he), hf)) -> new_esEs20(xy300, xy4000, hd, he, hf) 17.23/6.72 new_esEs24(xy302, xy4002, ty_@0) -> new_esEs21(xy302, xy4002) 17.23/6.72 new_asAs(False, xy31) -> False 17.23/6.72 new_esEs25(xy300, xy4000, app(app(ty_@2, hg), hh)) -> new_esEs16(xy300, xy4000, hg, hh) 17.23/6.72 new_esEs4(xy30, xy400, app(app(app(ty_@3, cb), cc), cd)) -> new_esEs20(xy30, xy400, cb, cc, cd) 17.23/6.72 new_esEs19(Left(xy300), Right(xy4000), bg, bh) -> False 17.23/6.72 new_esEs19(Right(xy300), Left(xy4000), bg, bh) -> False 17.23/6.72 new_esEs13(xy310, xy4010, ty_Integer) -> new_esEs8(xy310, xy4010) 17.23/6.72 new_esEs13(xy310, xy4010, ty_Bool) -> new_esEs18(xy310, xy4010) 17.23/6.72 new_esEs13(xy310, xy4010, ty_@0) -> new_esEs21(xy310, xy4010) 17.23/6.72 new_esEs26(xy301, xy4001, app(ty_[], bbf)) -> new_esEs5(xy301, xy4001, bbf) 17.23/6.72 new_esEs19(Left(xy300), Left(xy4000), app(app(ty_@2, bcc), bcd), bh) -> new_esEs16(xy300, xy4000, bcc, bcd) 17.23/6.72 new_esEs24(xy302, xy4002, ty_Ordering) -> new_esEs9(xy302, xy4002) 17.23/6.72 new_esEs22(xy300, xy4000, app(app(app(ty_@3, de), df), dg)) -> new_esEs20(xy300, xy4000, de, df, dg) 17.23/6.72 new_esEs4(xy30, xy400, ty_Char) -> new_esEs15(xy30, xy400) 17.23/6.72 17.23/6.72 The set Q consists of the following terms: 17.23/6.72 17.23/6.72 new_esEs4(x0, x1, ty_Integer) 17.23/6.72 new_esEs26(x0, x1, ty_Bool) 17.23/6.72 new_esEs9(EQ, EQ) 17.23/6.72 new_esEs26(x0, x1, ty_@0) 17.23/6.72 new_esEs17(Just(x0), Just(x1), app(app(app(ty_@3, x2), x3), x4)) 17.23/6.72 new_esEs23(x0, x1, ty_Bool) 17.23/6.72 new_esEs19(Right(x0), Right(x1), x2, ty_Int) 17.23/6.72 new_sr(Pos(x0), Neg(x1)) 17.23/6.72 new_sr(Neg(x0), Pos(x1)) 17.23/6.72 new_esEs24(x0, x1, ty_Integer) 17.23/6.72 new_sr(Neg(x0), Neg(x1)) 17.23/6.72 new_primPlusNat1(Zero, Succ(x0)) 17.23/6.72 new_primMulNat0(Zero, Zero) 17.23/6.72 new_esEs6(Float(x0, x1), Float(x2, x3)) 17.23/6.72 new_primPlusNat1(Zero, Zero) 17.23/6.72 new_esEs19(Right(x0), Right(x1), x2, ty_Ordering) 17.23/6.72 new_esEs13(x0, x1, ty_Bool) 17.23/6.72 new_esEs22(x0, x1, ty_@0) 17.23/6.72 new_esEs13(x0, x1, ty_@0) 17.23/6.72 new_esEs22(x0, x1, app(app(ty_@2, x2), x3)) 17.23/6.72 new_esEs13(x0, x1, app(app(ty_@2, x2), x3)) 17.23/6.72 new_esEs19(Right(x0), Right(x1), x2, app(app(ty_@2, x3), x4)) 17.23/6.72 new_esEs23(x0, x1, ty_@0) 17.23/6.72 new_esEs23(x0, x1, app(app(ty_@2, x2), x3)) 17.23/6.72 new_primEqInt(Pos(Succ(x0)), Neg(x1)) 17.23/6.72 new_primEqInt(Neg(Succ(x0)), Pos(x1)) 17.23/6.72 new_esEs18(True, True) 17.23/6.72 new_esEs25(x0, x1, ty_Char) 17.23/6.72 new_primMulNat0(Zero, Succ(x0)) 17.23/6.72 new_esEs19(Left(x0), Left(x1), app(app(ty_Either, x2), x3), x4) 17.23/6.72 new_primEqInt(Pos(Zero), Pos(Zero)) 17.23/6.72 new_esEs7(x0, x1) 17.23/6.72 new_esEs22(x0, x1, ty_Bool) 17.23/6.72 new_esEs26(x0, x1, app(app(ty_@2, x2), x3)) 17.23/6.72 new_esEs19(Right(x0), Right(x1), x2, ty_Float) 17.23/6.72 new_primEqInt(Pos(Zero), Neg(Succ(x0))) 17.23/6.72 new_primEqInt(Neg(Zero), Pos(Succ(x0))) 17.23/6.72 new_esEs19(Left(x0), Left(x1), app(ty_Maybe, x2), x3) 17.23/6.72 new_esEs5([], [], x0) 17.23/6.72 new_esEs17(Just(x0), Just(x1), app(ty_Maybe, x2)) 17.23/6.72 new_esEs22(x0, x1, ty_Char) 17.23/6.72 new_esEs12(x0, x1, ty_Int) 17.23/6.72 new_esEs22(x0, x1, app(app(app(ty_@3, x2), x3), x4)) 17.23/6.72 new_esEs17(Nothing, Just(x0), x1) 17.23/6.72 new_esEs24(x0, x1, app(ty_[], x2)) 17.23/6.72 new_esEs17(Just(x0), Just(x1), ty_Bool) 17.23/6.72 new_primEqInt(Neg(Zero), Neg(Zero)) 17.23/6.72 new_esEs19(Left(x0), Left(x1), ty_Bool, x2) 17.23/6.72 new_esEs25(x0, x1, ty_Bool) 17.23/6.72 new_esEs26(x0, x1, app(ty_[], x2)) 17.23/6.72 new_sr(Pos(x0), Pos(x1)) 17.23/6.72 new_esEs11(x0, x1, ty_Int) 17.23/6.72 new_primMulNat0(Succ(x0), Zero) 17.23/6.72 new_esEs24(x0, x1, ty_@0) 17.23/6.72 new_esEs25(x0, x1, app(app(ty_Either, x2), x3)) 17.23/6.72 new_esEs19(Left(x0), Left(x1), ty_Integer, x2) 17.23/6.72 new_primEqNat0(Succ(x0), Succ(x1)) 17.23/6.72 new_esEs19(Left(x0), Left(x1), app(ty_Ratio, x2), x3) 17.23/6.72 new_esEs4(x0, x1, app(ty_[], x2)) 17.23/6.72 new_esEs9(LT, LT) 17.23/6.72 new_esEs25(x0, x1, app(app(ty_@2, x2), x3)) 17.23/6.72 new_esEs17(Just(x0), Just(x1), app(ty_Ratio, x2)) 17.23/6.72 new_esEs17(Just(x0), Just(x1), ty_Int) 17.23/6.72 new_esEs19(Right(x0), Right(x1), x2, app(app(ty_Either, x3), x4)) 17.23/6.72 new_esEs13(x0, x1, ty_Integer) 17.23/6.72 new_esEs25(x0, x1, app(app(app(ty_@3, x2), x3), x4)) 17.23/6.72 new_esEs22(x0, x1, app(ty_[], x2)) 17.23/6.72 new_esEs24(x0, x1, ty_Float) 17.23/6.72 new_esEs4(x0, x1, app(app(ty_Either, x2), x3)) 17.23/6.72 new_esEs9(EQ, GT) 17.23/6.72 new_esEs9(GT, EQ) 17.23/6.72 new_asAs(True, x0) 17.23/6.72 new_primPlusNat1(Succ(x0), Succ(x1)) 17.23/6.72 new_asAs(False, x0) 17.23/6.72 new_esEs24(x0, x1, app(app(ty_@2, x2), x3)) 17.23/6.72 new_esEs17(Just(x0), Just(x1), ty_Char) 17.23/6.72 new_esEs25(x0, x1, ty_Int) 17.23/6.72 new_esEs22(x0, x1, ty_Int) 17.23/6.72 new_esEs25(x0, x1, app(ty_Maybe, x2)) 17.23/6.72 new_esEs19(Left(x0), Left(x1), app(app(ty_@2, x2), x3), x4) 17.23/6.72 new_esEs4(x0, x1, ty_Bool) 17.23/6.72 new_esEs22(x0, x1, app(ty_Ratio, x2)) 17.23/6.72 new_esEs4(x0, x1, app(ty_Maybe, x2)) 17.23/6.72 new_esEs17(Nothing, Nothing, x0) 17.23/6.72 new_esEs25(x0, x1, app(ty_[], x2)) 17.23/6.72 new_esEs18(False, False) 17.23/6.72 new_esEs19(Right(x0), Right(x1), x2, ty_@0) 17.23/6.72 new_esEs25(x0, x1, ty_@0) 17.23/6.72 new_primEqInt(Pos(Zero), Neg(Zero)) 17.23/6.72 new_primEqInt(Neg(Zero), Pos(Zero)) 17.23/6.72 new_esEs19(Left(x0), Left(x1), ty_Ordering, x2) 17.23/6.72 new_esEs4(x0, x1, app(ty_Ratio, x2)) 17.23/6.72 new_esEs10(:%(x0, x1), :%(x2, x3), x4) 17.23/6.72 new_esEs13(x0, x1, ty_Ordering) 17.23/6.72 new_esEs9(LT, EQ) 17.23/6.72 new_esEs9(EQ, LT) 17.23/6.72 new_esEs23(x0, x1, ty_Integer) 17.23/6.72 new_esEs9(GT, GT) 17.23/6.72 new_primPlusNat0(Succ(x0), x1) 17.23/6.72 new_esEs26(x0, x1, app(ty_Ratio, x2)) 17.23/6.72 new_primEqInt(Neg(Zero), Neg(Succ(x0))) 17.23/6.72 new_esEs23(x0, x1, app(app(ty_Either, x2), x3)) 17.23/6.72 new_esEs17(Just(x0), Just(x1), ty_Float) 17.23/6.72 new_esEs4(x0, x1, app(app(app(ty_@3, x2), x3), x4)) 17.23/6.72 new_esEs17(Just(x0), Just(x1), ty_@0) 17.23/6.72 new_esEs25(x0, x1, ty_Float) 17.23/6.72 new_esEs19(Right(x0), Right(x1), x2, ty_Double) 17.23/6.72 new_esEs17(Just(x0), Nothing, x1) 17.23/6.72 new_esEs22(x0, x1, ty_Float) 17.23/6.72 new_primEqInt(Pos(Succ(x0)), Pos(Succ(x1))) 17.23/6.72 new_esEs9(LT, GT) 17.23/6.72 new_esEs9(GT, LT) 17.23/6.72 new_esEs19(Right(x0), Right(x1), x2, app(ty_Ratio, x3)) 17.23/6.72 new_esEs19(Right(x0), Right(x1), x2, ty_Char) 17.23/6.72 new_esEs26(x0, x1, ty_Integer) 17.23/6.72 new_esEs13(x0, x1, app(app(ty_Either, x2), x3)) 17.23/6.72 new_esEs22(x0, x1, app(ty_Maybe, x2)) 17.23/6.72 new_esEs5([], :(x0, x1), x2) 17.23/6.72 new_esEs11(x0, x1, ty_Integer) 17.23/6.72 new_esEs20(@3(x0, x1, x2), @3(x3, x4, x5), x6, x7, x8) 17.23/6.72 new_esEs4(x0, x1, ty_Int) 17.23/6.72 new_esEs26(x0, x1, ty_Ordering) 17.23/6.72 new_esEs22(x0, x1, app(app(ty_Either, x2), x3)) 17.23/6.72 new_esEs26(x0, x1, ty_Double) 17.23/6.72 new_esEs19(Left(x0), Left(x1), app(ty_[], x2), x3) 17.23/6.72 new_esEs17(Just(x0), Just(x1), ty_Double) 17.23/6.72 new_esEs19(Right(x0), Right(x1), x2, ty_Bool) 17.23/6.72 new_esEs19(Left(x0), Left(x1), ty_Double, x2) 17.23/6.72 new_esEs13(x0, x1, ty_Float) 17.23/6.72 new_esEs19(Left(x0), Left(x1), app(app(app(ty_@3, x2), x3), x4), x5) 17.23/6.72 new_esEs26(x0, x1, app(app(ty_Either, x2), x3)) 17.23/6.72 new_esEs13(x0, x1, app(ty_Maybe, x2)) 17.23/6.72 new_esEs23(x0, x1, ty_Int) 17.23/6.72 new_esEs23(x0, x1, ty_Ordering) 17.23/6.72 new_primPlusNat0(Zero, x0) 17.23/6.72 new_primEqInt(Neg(Succ(x0)), Neg(Zero)) 17.23/6.72 new_primEqInt(Neg(Succ(x0)), Neg(Succ(x1))) 17.23/6.72 new_esEs13(x0, x1, app(ty_[], x2)) 17.23/6.72 new_primEqInt(Pos(Succ(x0)), Pos(Zero)) 17.23/6.72 new_esEs18(False, True) 17.23/6.72 new_esEs18(True, False) 17.23/6.72 new_esEs12(x0, x1, ty_Integer) 17.23/6.72 new_esEs24(x0, x1, app(ty_Maybe, x2)) 17.23/6.72 new_esEs23(x0, x1, app(ty_Maybe, x2)) 17.23/6.72 new_esEs4(x0, x1, ty_Double) 17.23/6.72 new_esEs19(Right(x0), Right(x1), x2, ty_Integer) 17.23/6.72 new_esEs25(x0, x1, ty_Double) 17.23/6.72 new_esEs24(x0, x1, ty_Int) 17.23/6.72 new_esEs13(x0, x1, app(ty_Ratio, x2)) 17.23/6.72 new_esEs4(x0, x1, ty_Ordering) 17.23/6.72 new_esEs26(x0, x1, app(app(app(ty_@3, x2), x3), x4)) 17.23/6.72 new_esEs8(Integer(x0), Integer(x1)) 17.23/6.72 new_esEs4(x0, x1, ty_Char) 17.23/6.72 new_esEs17(Just(x0), Just(x1), app(app(ty_@2, x2), x3)) 17.23/6.72 new_esEs23(x0, x1, ty_Double) 17.23/6.72 new_esEs22(x0, x1, ty_Double) 17.23/6.72 new_esEs15(Char(x0), Char(x1)) 17.23/6.72 new_esEs23(x0, x1, ty_Char) 17.23/6.72 new_esEs24(x0, x1, ty_Char) 17.23/6.72 new_esEs24(x0, x1, ty_Double) 17.23/6.72 new_esEs23(x0, x1, app(ty_Ratio, x2)) 17.23/6.72 new_esEs13(x0, x1, app(app(app(ty_@3, x2), x3), x4)) 17.23/6.72 new_esEs23(x0, x1, app(app(app(ty_@3, x2), x3), x4)) 17.23/6.72 new_esEs22(x0, x1, ty_Integer) 17.23/6.72 new_primEqNat0(Zero, Zero) 17.23/6.72 new_esEs17(Just(x0), Just(x1), ty_Integer) 17.23/6.72 new_esEs19(Right(x0), Right(x1), x2, app(app(app(ty_@3, x3), x4), x5)) 17.23/6.72 new_esEs24(x0, x1, app(app(ty_Either, x2), x3)) 17.23/6.72 new_esEs13(x0, x1, ty_Int) 17.23/6.72 new_esEs24(x0, x1, app(ty_Ratio, x2)) 17.23/6.72 new_esEs19(Left(x0), Left(x1), ty_Int, x2) 17.23/6.72 new_esEs16(@2(x0, x1), @2(x2, x3), x4, x5) 17.23/6.72 new_esEs26(x0, x1, ty_Char) 17.23/6.72 new_esEs25(x0, x1, app(ty_Ratio, x2)) 17.23/6.72 new_esEs23(x0, x1, app(ty_[], x2)) 17.23/6.72 new_esEs19(Right(x0), Right(x1), x2, app(ty_[], x3)) 17.23/6.72 new_esEs4(x0, x1, ty_@0) 17.23/6.72 new_esEs4(x0, x1, app(app(ty_@2, x2), x3)) 17.23/6.72 new_primPlusNat1(Succ(x0), Zero) 17.23/6.72 new_primEqNat0(Succ(x0), Zero) 17.23/6.72 new_esEs24(x0, x1, ty_Bool) 17.23/6.72 new_primMulNat0(Succ(x0), Succ(x1)) 17.23/6.72 new_esEs19(Left(x0), Left(x1), ty_Char, x2) 17.23/6.72 new_esEs4(x0, x1, ty_Float) 17.23/6.72 new_esEs5(:(x0, x1), :(x2, x3), x4) 17.23/6.72 new_primEqInt(Pos(Zero), Pos(Succ(x0))) 17.23/6.72 new_esEs24(x0, x1, ty_Ordering) 17.23/6.72 new_esEs26(x0, x1, ty_Int) 17.23/6.72 new_esEs22(x0, x1, ty_Ordering) 17.23/6.72 new_esEs24(x0, x1, app(app(app(ty_@3, x2), x3), x4)) 17.23/6.72 new_esEs17(Just(x0), Just(x1), ty_Ordering) 17.23/6.72 new_esEs19(Right(x0), Right(x1), x2, app(ty_Maybe, x3)) 17.23/6.72 new_esEs21(@0, @0) 17.23/6.72 new_esEs23(x0, x1, ty_Float) 17.23/6.72 new_esEs25(x0, x1, ty_Ordering) 17.23/6.72 new_esEs13(x0, x1, ty_Double) 17.23/6.72 new_esEs19(Left(x0), Left(x1), ty_Float, x2) 17.23/6.72 new_esEs25(x0, x1, ty_Integer) 17.23/6.72 new_esEs14(Double(x0, x1), Double(x2, x3)) 17.23/6.72 new_esEs19(Left(x0), Right(x1), x2, x3) 17.23/6.72 new_esEs19(Right(x0), Left(x1), x2, x3) 17.23/6.72 new_esEs5(:(x0, x1), [], x2) 17.23/6.72 new_esEs19(Left(x0), Left(x1), ty_@0, x2) 17.23/6.72 new_esEs17(Just(x0), Just(x1), app(ty_[], x2)) 17.23/6.72 new_primEqNat0(Zero, Succ(x0)) 17.23/6.72 new_esEs17(Just(x0), Just(x1), app(app(ty_Either, x2), x3)) 17.23/6.72 new_esEs13(x0, x1, ty_Char) 17.23/6.72 new_esEs26(x0, x1, app(ty_Maybe, x2)) 17.23/6.72 new_esEs26(x0, x1, ty_Float) 17.23/6.72 17.23/6.72 We have to consider all minimal (P,Q,R)-chains. 17.23/6.72 ---------------------------------------- 17.23/6.72 17.23/6.72 (16) QDPSizeChangeProof (EQUIVALENT) 17.23/6.72 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. 17.23/6.72 17.23/6.72 From the DPs we obtained the following set of size-change graphs: 17.23/6.72 *new_deleteBy([], :(:(xy400, xy401), xy41), bb) -> new_deleteBy([], xy41, bb) 17.23/6.72 The graph contains the following edges 1 >= 1, 2 > 2, 3 >= 3 17.23/6.72 17.23/6.72 17.23/6.72 ---------------------------------------- 17.23/6.72 17.23/6.72 (17) 17.23/6.72 YES 17.23/6.72 17.23/6.72 ---------------------------------------- 17.23/6.72 17.23/6.72 (18) 17.23/6.72 Obligation: 17.23/6.72 Q DP problem: 17.23/6.72 The TRS P consists of the following rules: 17.23/6.72 17.23/6.72 new_deleteBy(:(xy30, xy31), :(:(xy400, xy401), xy41), bb) -> new_deleteBy0(xy41, xy400, xy401, xy30, xy31, new_asAs(new_esEs4(xy30, xy400, bb), new_esEs5(xy31, xy401, bb)), bb) 17.23/6.72 new_deleteBy0(xy12, xy13, xy14, xy15, xy16, False, ba) -> new_deleteBy(:(xy15, xy16), xy12, ba) 17.23/6.72 new_deleteBy(:(xy30, xy31), :([], xy41), bb) -> new_deleteBy(:(xy30, xy31), xy41, bb) 17.23/6.72 17.23/6.72 The TRS R consists of the following rules: 17.23/6.72 17.23/6.72 new_esEs23(xy301, xy4001, app(ty_Ratio, ef)) -> new_esEs10(xy301, xy4001, ef) 17.23/6.72 new_esEs11(xy300, xy4000, ty_Int) -> new_esEs7(xy300, xy4000) 17.23/6.72 new_esEs22(xy300, xy4000, ty_Float) -> new_esEs6(xy300, xy4000) 17.23/6.72 new_primEqInt(Pos(Zero), Pos(Zero)) -> True 17.23/6.72 new_esEs12(xy301, xy4001, ty_Integer) -> new_esEs8(xy301, xy4001) 17.23/6.72 new_esEs4(xy30, xy400, app(ty_Maybe, bf)) -> new_esEs17(xy30, xy400, bf) 17.23/6.72 new_esEs22(xy300, xy4000, ty_Double) -> new_esEs14(xy300, xy4000) 17.23/6.72 new_esEs22(xy300, xy4000, app(app(ty_Either, da), db)) -> new_esEs19(xy300, xy4000, da, db) 17.23/6.72 new_esEs22(xy300, xy4000, ty_@0) -> new_esEs21(xy300, xy4000) 17.23/6.72 new_esEs18(True, True) -> True 17.23/6.72 new_esEs22(xy300, xy4000, ty_Char) -> new_esEs15(xy300, xy4000) 17.23/6.72 new_esEs24(xy302, xy4002, ty_Char) -> new_esEs15(xy302, xy4002) 17.23/6.72 new_esEs19(Left(xy300), Left(xy4000), app(app(ty_Either, bcf), bcg), bh) -> new_esEs19(xy300, xy4000, bcf, bcg) 17.23/6.72 new_esEs25(xy300, xy4000, ty_Bool) -> new_esEs18(xy300, xy4000) 17.23/6.72 new_esEs19(Right(xy300), Right(xy4000), bg, ty_Ordering) -> new_esEs9(xy300, xy4000) 17.23/6.72 new_esEs24(xy302, xy4002, ty_Double) -> new_esEs14(xy302, xy4002) 17.23/6.72 new_esEs25(xy300, xy4000, app(ty_Maybe, baa)) -> new_esEs17(xy300, xy4000, baa) 17.23/6.72 new_esEs9(LT, EQ) -> False 17.23/6.72 new_esEs9(EQ, LT) -> False 17.23/6.72 new_esEs17(Just(xy300), Just(xy4000), app(ty_Ratio, hc)) -> new_esEs10(xy300, xy4000, hc) 17.23/6.72 new_esEs16(@2(xy300, xy301), @2(xy4000, xy4001), bd, be) -> new_asAs(new_esEs25(xy300, xy4000, bd), new_esEs26(xy301, xy4001, be)) 17.23/6.72 new_esEs19(Right(xy300), Right(xy4000), bg, ty_Bool) -> new_esEs18(xy300, xy4000) 17.23/6.72 new_esEs5([], [], bb) -> True 17.23/6.72 new_asAs(True, xy31) -> xy31 17.23/6.72 new_esEs4(xy30, xy400, ty_Bool) -> new_esEs18(xy30, xy400) 17.23/6.72 new_esEs25(xy300, xy4000, app(ty_[], bad)) -> new_esEs5(xy300, xy4000, bad) 17.23/6.72 new_esEs8(Integer(xy300), Integer(xy4000)) -> new_primEqInt(xy300, xy4000) 17.23/6.72 new_primEqInt(Pos(Succ(xy3000)), Pos(Zero)) -> False 17.23/6.72 new_primEqInt(Pos(Zero), Pos(Succ(xy40000))) -> False 17.23/6.72 new_esEs25(xy300, xy4000, ty_Ordering) -> new_esEs9(xy300, xy4000) 17.23/6.72 new_esEs19(Left(xy300), Left(xy4000), ty_Ordering, bh) -> new_esEs9(xy300, xy4000) 17.23/6.72 new_esEs26(xy301, xy4001, ty_Char) -> new_esEs15(xy301, xy4001) 17.23/6.72 new_esEs19(Right(xy300), Right(xy4000), bg, ty_Integer) -> new_esEs8(xy300, xy4000) 17.23/6.72 new_esEs23(xy301, xy4001, app(app(app(ty_@3, eg), eh), fa)) -> new_esEs20(xy301, xy4001, eg, eh, fa) 17.23/6.72 new_esEs4(xy30, xy400, app(ty_[], ca)) -> new_esEs5(xy30, xy400, ca) 17.23/6.72 new_esEs4(xy30, xy400, ty_Ordering) -> new_esEs9(xy30, xy400) 17.23/6.72 new_esEs23(xy301, xy4001, app(ty_Maybe, eb)) -> new_esEs17(xy301, xy4001, eb) 17.23/6.72 new_esEs23(xy301, xy4001, ty_Bool) -> new_esEs18(xy301, xy4001) 17.23/6.72 new_esEs18(False, False) -> True 17.23/6.72 new_primEqNat0(Succ(xy3000), Succ(xy40000)) -> new_primEqNat0(xy3000, xy40000) 17.23/6.72 new_esEs17(Nothing, Nothing, bf) -> True 17.23/6.72 new_esEs4(xy30, xy400, app(ty_Ratio, bc)) -> new_esEs10(xy30, xy400, bc) 17.23/6.72 new_esEs22(xy300, xy4000, app(ty_[], dc)) -> new_esEs5(xy300, xy4000, dc) 17.23/6.72 new_esEs17(Nothing, Just(xy4000), bf) -> False 17.23/6.72 new_esEs17(Just(xy300), Nothing, bf) -> False 17.23/6.72 new_esEs19(Left(xy300), Left(xy4000), ty_Bool, bh) -> new_esEs18(xy300, xy4000) 17.23/6.72 new_esEs26(xy301, xy4001, ty_Int) -> new_esEs7(xy301, xy4001) 17.23/6.72 new_esEs25(xy300, xy4000, app(ty_Ratio, bae)) -> new_esEs10(xy300, xy4000, bae) 17.23/6.72 new_esEs19(Right(xy300), Right(xy4000), bg, app(ty_Ratio, bec)) -> new_esEs10(xy300, xy4000, bec) 17.23/6.72 new_esEs19(Left(xy300), Left(xy4000), app(app(app(ty_@3, bdb), bdc), bdd), bh) -> new_esEs20(xy300, xy4000, bdb, bdc, bdd) 17.23/6.72 new_esEs19(Right(xy300), Right(xy4000), bg, ty_@0) -> new_esEs21(xy300, xy4000) 17.23/6.72 new_esEs4(xy30, xy400, ty_Integer) -> new_esEs8(xy30, xy400) 17.23/6.72 new_esEs17(Just(xy300), Just(xy4000), app(app(ty_@2, ge), gf)) -> new_esEs16(xy300, xy4000, ge, gf) 17.23/6.72 new_esEs19(Right(xy300), Right(xy4000), bg, app(app(app(ty_@3, bed), bee), bef)) -> new_esEs20(xy300, xy4000, bed, bee, bef) 17.23/6.72 new_esEs23(xy301, xy4001, ty_Int) -> new_esEs7(xy301, xy4001) 17.23/6.72 new_primMulNat0(Zero, Zero) -> Zero 17.23/6.72 new_esEs23(xy301, xy4001, app(ty_[], ee)) -> new_esEs5(xy301, xy4001, ee) 17.23/6.72 new_esEs22(xy300, xy4000, ty_Bool) -> new_esEs18(xy300, xy4000) 17.23/6.72 new_esEs23(xy301, xy4001, ty_Integer) -> new_esEs8(xy301, xy4001) 17.23/6.72 new_esEs19(Left(xy300), Left(xy4000), app(ty_Ratio, bda), bh) -> new_esEs10(xy300, xy4000, bda) 17.23/6.72 new_esEs4(xy30, xy400, app(app(ty_@2, bd), be)) -> new_esEs16(xy30, xy400, bd, be) 17.23/6.72 new_esEs17(Just(xy300), Just(xy4000), ty_Integer) -> new_esEs8(xy300, xy4000) 17.23/6.72 new_esEs23(xy301, xy4001, app(app(ty_@2, dh), ea)) -> new_esEs16(xy301, xy4001, dh, ea) 17.23/6.72 new_esEs19(Right(xy300), Right(xy4000), bg, ty_Double) -> new_esEs14(xy300, xy4000) 17.23/6.72 new_esEs17(Just(xy300), Just(xy4000), ty_Int) -> new_esEs7(xy300, xy4000) 17.23/6.72 new_esEs17(Just(xy300), Just(xy4000), ty_Ordering) -> new_esEs9(xy300, xy4000) 17.23/6.72 new_esEs26(xy301, xy4001, ty_@0) -> new_esEs21(xy301, xy4001) 17.23/6.72 new_esEs4(xy30, xy400, ty_Int) -> new_esEs7(xy30, xy400) 17.23/6.72 new_primEqNat0(Succ(xy3000), Zero) -> False 17.23/6.72 new_primEqNat0(Zero, Succ(xy40000)) -> False 17.23/6.72 new_esEs24(xy302, xy4002, app(ty_[], fh)) -> new_esEs5(xy302, xy4002, fh) 17.23/6.72 new_esEs21(@0, @0) -> True 17.23/6.72 new_esEs13(xy310, xy4010, ty_Char) -> new_esEs15(xy310, xy4010) 17.23/6.72 new_esEs22(xy300, xy4000, ty_Ordering) -> new_esEs9(xy300, xy4000) 17.23/6.72 new_esEs22(xy300, xy4000, app(app(ty_@2, ce), cf)) -> new_esEs16(xy300, xy4000, ce, cf) 17.23/6.72 new_esEs9(EQ, EQ) -> True 17.23/6.72 new_esEs24(xy302, xy4002, ty_Float) -> new_esEs6(xy302, xy4002) 17.23/6.72 new_esEs24(xy302, xy4002, app(app(ty_Either, ff), fg)) -> new_esEs19(xy302, xy4002, ff, fg) 17.23/6.72 new_esEs26(xy301, xy4001, app(ty_Ratio, bbg)) -> new_esEs10(xy301, xy4001, bbg) 17.23/6.72 new_primEqInt(Neg(Succ(xy3000)), Neg(Zero)) -> False 17.23/6.72 new_primEqInt(Neg(Zero), Neg(Succ(xy40000))) -> False 17.23/6.72 new_esEs13(xy310, xy4010, app(app(app(ty_@3, cb), cc), cd)) -> new_esEs20(xy310, xy4010, cb, cc, cd) 17.23/6.72 new_esEs19(Left(xy300), Left(xy4000), ty_Double, bh) -> new_esEs14(xy300, xy4000) 17.23/6.72 new_primEqInt(Pos(Succ(xy3000)), Pos(Succ(xy40000))) -> new_primEqNat0(xy3000, xy40000) 17.23/6.72 new_esEs25(xy300, xy4000, app(app(app(ty_@3, baf), bag), bah)) -> new_esEs20(xy300, xy4000, baf, bag, bah) 17.23/6.72 new_esEs26(xy301, xy4001, ty_Double) -> new_esEs14(xy301, xy4001) 17.23/6.72 new_esEs7(xy30, xy400) -> new_primEqInt(xy30, xy400) 17.23/6.72 new_sr(Pos(xy3000), Neg(xy40010)) -> Neg(new_primMulNat0(xy3000, xy40010)) 17.23/6.72 new_sr(Neg(xy3000), Pos(xy40010)) -> Neg(new_primMulNat0(xy3000, xy40010)) 17.23/6.72 new_primPlusNat1(Succ(xy3200), Succ(xy4001000)) -> Succ(Succ(new_primPlusNat1(xy3200, xy4001000))) 17.23/6.72 new_esEs22(xy300, xy4000, ty_Integer) -> new_esEs8(xy300, xy4000) 17.23/6.72 new_primEqInt(Pos(Succ(xy3000)), Neg(xy4000)) -> False 17.23/6.72 new_primEqInt(Neg(Succ(xy3000)), Pos(xy4000)) -> False 17.23/6.72 new_esEs17(Just(xy300), Just(xy4000), app(ty_Maybe, gg)) -> new_esEs17(xy300, xy4000, gg) 17.23/6.72 new_esEs17(Just(xy300), Just(xy4000), ty_Bool) -> new_esEs18(xy300, xy4000) 17.23/6.72 new_esEs22(xy300, xy4000, ty_Int) -> new_esEs7(xy300, xy4000) 17.23/6.72 new_esEs17(Just(xy300), Just(xy4000), ty_@0) -> new_esEs21(xy300, xy4000) 17.23/6.72 new_esEs25(xy300, xy4000, ty_Char) -> new_esEs15(xy300, xy4000) 17.23/6.72 new_esEs24(xy302, xy4002, app(ty_Maybe, fd)) -> new_esEs17(xy302, xy4002, fd) 17.23/6.72 new_esEs23(xy301, xy4001, ty_Char) -> new_esEs15(xy301, xy4001) 17.23/6.72 new_esEs26(xy301, xy4001, ty_Bool) -> new_esEs18(xy301, xy4001) 17.23/6.72 new_esEs19(Right(xy300), Right(xy4000), bg, app(app(ty_Either, bdh), bea)) -> new_esEs19(xy300, xy4000, bdh, bea) 17.23/6.72 new_esEs23(xy301, xy4001, ty_Double) -> new_esEs14(xy301, xy4001) 17.23/6.72 new_esEs17(Just(xy300), Just(xy4000), ty_Double) -> new_esEs14(xy300, xy4000) 17.23/6.72 new_esEs24(xy302, xy4002, app(ty_Ratio, ga)) -> new_esEs10(xy302, xy4002, ga) 17.23/6.72 new_sr(Neg(xy3000), Neg(xy40010)) -> Pos(new_primMulNat0(xy3000, xy40010)) 17.23/6.72 new_esEs23(xy301, xy4001, ty_Float) -> new_esEs6(xy301, xy4001) 17.23/6.72 new_esEs4(xy30, xy400, ty_Double) -> new_esEs14(xy30, xy400) 17.23/6.72 new_esEs26(xy301, xy4001, ty_Ordering) -> new_esEs9(xy301, xy4001) 17.23/6.72 new_esEs13(xy310, xy4010, app(app(ty_@2, bd), be)) -> new_esEs16(xy310, xy4010, bd, be) 17.23/6.72 new_esEs19(Left(xy300), Left(xy4000), app(ty_[], bch), bh) -> new_esEs5(xy300, xy4000, bch) 17.23/6.72 new_esEs17(Just(xy300), Just(xy4000), ty_Float) -> new_esEs6(xy300, xy4000) 17.23/6.72 new_esEs23(xy301, xy4001, app(app(ty_Either, ec), ed)) -> new_esEs19(xy301, xy4001, ec, ed) 17.23/6.72 new_esEs14(Double(xy300, xy301), Double(xy4000, xy4001)) -> new_esEs7(new_sr(xy300, xy4001), new_sr(xy301, xy4000)) 17.23/6.72 new_primEqInt(Pos(Zero), Neg(Succ(xy40000))) -> False 17.23/6.72 new_primEqInt(Neg(Zero), Pos(Succ(xy40000))) -> False 17.23/6.72 new_esEs20(@3(xy300, xy301, xy302), @3(xy4000, xy4001, xy4002), cb, cc, cd) -> new_asAs(new_esEs22(xy300, xy4000, cb), new_asAs(new_esEs23(xy301, xy4001, cc), new_esEs24(xy302, xy4002, cd))) 17.23/6.72 new_esEs13(xy310, xy4010, ty_Float) -> new_esEs6(xy310, xy4010) 17.23/6.72 new_esEs9(GT, GT) -> True 17.23/6.72 new_esEs17(Just(xy300), Just(xy4000), ty_Char) -> new_esEs15(xy300, xy4000) 17.23/6.72 new_esEs11(xy300, xy4000, ty_Integer) -> new_esEs8(xy300, xy4000) 17.23/6.72 new_esEs18(False, True) -> False 17.23/6.72 new_esEs18(True, False) -> False 17.23/6.72 new_esEs17(Just(xy300), Just(xy4000), app(app(ty_Either, gh), ha)) -> new_esEs19(xy300, xy4000, gh, ha) 17.23/6.72 new_esEs22(xy300, xy4000, app(ty_Maybe, cg)) -> new_esEs17(xy300, xy4000, cg) 17.23/6.72 new_esEs19(Left(xy300), Left(xy4000), ty_Char, bh) -> new_esEs15(xy300, xy4000) 17.23/6.72 new_esEs26(xy301, xy4001, app(app(ty_@2, bba), bbb)) -> new_esEs16(xy301, xy4001, bba, bbb) 17.23/6.72 new_esEs24(xy302, xy4002, app(app(app(ty_@3, gb), gc), gd)) -> new_esEs20(xy302, xy4002, gb, gc, gd) 17.23/6.72 new_esEs13(xy310, xy4010, ty_Double) -> new_esEs14(xy310, xy4010) 17.23/6.72 new_esEs13(xy310, xy4010, app(ty_[], ca)) -> new_esEs5(xy310, xy4010, ca) 17.23/6.72 new_esEs4(xy30, xy400, ty_@0) -> new_esEs21(xy30, xy400) 17.23/6.72 new_esEs25(xy300, xy4000, ty_Double) -> new_esEs14(xy300, xy4000) 17.23/6.72 new_esEs19(Left(xy300), Left(xy4000), ty_Float, bh) -> new_esEs6(xy300, xy4000) 17.23/6.72 new_esEs26(xy301, xy4001, ty_Integer) -> new_esEs8(xy301, xy4001) 17.23/6.72 new_esEs26(xy301, xy4001, app(ty_Maybe, bbc)) -> new_esEs17(xy301, xy4001, bbc) 17.23/6.72 new_esEs10(:%(xy300, xy301), :%(xy4000, xy4001), bc) -> new_asAs(new_esEs11(xy300, xy4000, bc), new_esEs12(xy301, xy4001, bc)) 17.23/6.72 new_esEs4(xy30, xy400, app(app(ty_Either, bg), bh)) -> new_esEs19(xy30, xy400, bg, bh) 17.23/6.72 new_primEqInt(Neg(Succ(xy3000)), Neg(Succ(xy40000))) -> new_primEqNat0(xy3000, xy40000) 17.23/6.72 new_esEs9(EQ, GT) -> False 17.23/6.72 new_esEs9(GT, EQ) -> False 17.23/6.72 new_esEs19(Left(xy300), Left(xy4000), ty_Int, bh) -> new_esEs7(xy300, xy4000) 17.23/6.72 new_primPlusNat0(Succ(xy320), xy400100) -> Succ(Succ(new_primPlusNat1(xy320, xy400100))) 17.23/6.72 new_esEs13(xy310, xy4010, app(app(ty_Either, bg), bh)) -> new_esEs19(xy310, xy4010, bg, bh) 17.23/6.72 new_esEs25(xy300, xy4000, app(app(ty_Either, bab), bac)) -> new_esEs19(xy300, xy4000, bab, bac) 17.23/6.72 new_esEs22(xy300, xy4000, app(ty_Ratio, dd)) -> new_esEs10(xy300, xy4000, dd) 17.23/6.72 new_esEs19(Right(xy300), Right(xy4000), bg, ty_Int) -> new_esEs7(xy300, xy4000) 17.23/6.72 new_esEs19(Right(xy300), Right(xy4000), bg, ty_Char) -> new_esEs15(xy300, xy4000) 17.23/6.72 new_primPlusNat1(Zero, Zero) -> Zero 17.23/6.72 new_esEs12(xy301, xy4001, ty_Int) -> new_esEs7(xy301, xy4001) 17.23/6.72 new_primMulNat0(Succ(xy30000), Zero) -> Zero 17.23/6.72 new_primMulNat0(Zero, Succ(xy400100)) -> Zero 17.23/6.72 new_sr(Pos(xy3000), Pos(xy40010)) -> Pos(new_primMulNat0(xy3000, xy40010)) 17.23/6.72 new_primPlusNat0(Zero, xy400100) -> Succ(xy400100) 17.23/6.72 new_esEs19(Right(xy300), Right(xy4000), bg, app(ty_[], beb)) -> new_esEs5(xy300, xy4000, beb) 17.23/6.72 new_esEs24(xy302, xy4002, app(app(ty_@2, fb), fc)) -> new_esEs16(xy302, xy4002, fb, fc) 17.23/6.72 new_esEs19(Left(xy300), Left(xy4000), app(ty_Maybe, bce), bh) -> new_esEs17(xy300, xy4000, bce) 17.23/6.72 new_esEs23(xy301, xy4001, ty_@0) -> new_esEs21(xy301, xy4001) 17.23/6.72 new_esEs4(xy30, xy400, ty_Float) -> new_esEs6(xy30, xy400) 17.23/6.72 new_esEs25(xy300, xy4000, ty_Float) -> new_esEs6(xy300, xy4000) 17.23/6.72 new_esEs6(Float(xy300, xy301), Float(xy4000, xy4001)) -> new_esEs7(new_sr(xy300, xy4001), new_sr(xy301, xy4000)) 17.23/6.72 new_esEs26(xy301, xy4001, app(app(app(ty_@3, bbh), bca), bcb)) -> new_esEs20(xy301, xy4001, bbh, bca, bcb) 17.23/6.72 new_esEs19(Left(xy300), Left(xy4000), ty_@0, bh) -> new_esEs21(xy300, xy4000) 17.23/6.72 new_primEqInt(Neg(Zero), Neg(Zero)) -> True 17.23/6.72 new_esEs26(xy301, xy4001, app(app(ty_Either, bbd), bbe)) -> new_esEs19(xy301, xy4001, bbd, bbe) 17.23/6.72 new_esEs19(Right(xy300), Right(xy4000), bg, app(ty_Maybe, bdg)) -> new_esEs17(xy300, xy4000, bdg) 17.23/6.72 new_primMulNat0(Succ(xy30000), Succ(xy400100)) -> new_primPlusNat0(new_primMulNat0(xy30000, Succ(xy400100)), xy400100) 17.23/6.72 new_esEs26(xy301, xy4001, ty_Float) -> new_esEs6(xy301, xy4001) 17.23/6.72 new_esEs19(Right(xy300), Right(xy4000), bg, ty_Float) -> new_esEs6(xy300, xy4000) 17.23/6.72 new_esEs19(Left(xy300), Left(xy4000), ty_Integer, bh) -> new_esEs8(xy300, xy4000) 17.23/6.72 new_esEs23(xy301, xy4001, ty_Ordering) -> new_esEs9(xy301, xy4001) 17.23/6.72 new_esEs13(xy310, xy4010, app(ty_Maybe, bf)) -> new_esEs17(xy310, xy4010, bf) 17.23/6.72 new_esEs24(xy302, xy4002, ty_Int) -> new_esEs7(xy302, xy4002) 17.23/6.72 new_primPlusNat1(Succ(xy3200), Zero) -> Succ(xy3200) 17.23/6.72 new_primPlusNat1(Zero, Succ(xy4001000)) -> Succ(xy4001000) 17.23/6.72 new_esEs9(LT, LT) -> True 17.23/6.72 new_esEs25(xy300, xy4000, ty_Integer) -> new_esEs8(xy300, xy4000) 17.23/6.72 new_esEs17(Just(xy300), Just(xy4000), app(ty_[], hb)) -> new_esEs5(xy300, xy4000, hb) 17.23/6.72 new_esEs13(xy310, xy4010, app(ty_Ratio, bc)) -> new_esEs10(xy310, xy4010, bc) 17.23/6.72 new_esEs24(xy302, xy4002, ty_Integer) -> new_esEs8(xy302, xy4002) 17.23/6.72 new_primEqInt(Pos(Zero), Neg(Zero)) -> True 17.23/6.72 new_primEqInt(Neg(Zero), Pos(Zero)) -> True 17.23/6.72 new_esEs25(xy300, xy4000, ty_@0) -> new_esEs21(xy300, xy4000) 17.23/6.72 new_esEs25(xy300, xy4000, ty_Int) -> new_esEs7(xy300, xy4000) 17.23/6.72 new_esEs24(xy302, xy4002, ty_Bool) -> new_esEs18(xy302, xy4002) 17.23/6.72 new_esEs19(Right(xy300), Right(xy4000), bg, app(app(ty_@2, bde), bdf)) -> new_esEs16(xy300, xy4000, bde, bdf) 17.23/6.72 new_esEs5(:(xy310, xy311), [], bb) -> False 17.23/6.72 new_esEs5([], :(xy4010, xy4011), bb) -> False 17.23/6.72 new_primEqNat0(Zero, Zero) -> True 17.23/6.72 new_esEs13(xy310, xy4010, ty_Int) -> new_esEs7(xy310, xy4010) 17.23/6.72 new_esEs15(Char(xy300), Char(xy4000)) -> new_primEqNat0(xy300, xy4000) 17.23/6.72 new_esEs13(xy310, xy4010, ty_Ordering) -> new_esEs9(xy310, xy4010) 17.23/6.72 new_esEs9(LT, GT) -> False 17.23/6.72 new_esEs9(GT, LT) -> False 17.23/6.72 new_esEs5(:(xy310, xy311), :(xy4010, xy4011), bb) -> new_asAs(new_esEs13(xy310, xy4010, bb), new_esEs5(xy311, xy4011, bb)) 17.23/6.72 new_esEs17(Just(xy300), Just(xy4000), app(app(app(ty_@3, hd), he), hf)) -> new_esEs20(xy300, xy4000, hd, he, hf) 17.23/6.72 new_esEs24(xy302, xy4002, ty_@0) -> new_esEs21(xy302, xy4002) 17.23/6.72 new_asAs(False, xy31) -> False 17.23/6.72 new_esEs25(xy300, xy4000, app(app(ty_@2, hg), hh)) -> new_esEs16(xy300, xy4000, hg, hh) 17.23/6.72 new_esEs4(xy30, xy400, app(app(app(ty_@3, cb), cc), cd)) -> new_esEs20(xy30, xy400, cb, cc, cd) 17.23/6.72 new_esEs19(Left(xy300), Right(xy4000), bg, bh) -> False 17.23/6.72 new_esEs19(Right(xy300), Left(xy4000), bg, bh) -> False 17.23/6.72 new_esEs13(xy310, xy4010, ty_Integer) -> new_esEs8(xy310, xy4010) 17.23/6.72 new_esEs13(xy310, xy4010, ty_Bool) -> new_esEs18(xy310, xy4010) 17.23/6.72 new_esEs13(xy310, xy4010, ty_@0) -> new_esEs21(xy310, xy4010) 17.23/6.72 new_esEs26(xy301, xy4001, app(ty_[], bbf)) -> new_esEs5(xy301, xy4001, bbf) 17.23/6.72 new_esEs19(Left(xy300), Left(xy4000), app(app(ty_@2, bcc), bcd), bh) -> new_esEs16(xy300, xy4000, bcc, bcd) 17.23/6.72 new_esEs24(xy302, xy4002, ty_Ordering) -> new_esEs9(xy302, xy4002) 17.23/6.72 new_esEs22(xy300, xy4000, app(app(app(ty_@3, de), df), dg)) -> new_esEs20(xy300, xy4000, de, df, dg) 17.23/6.72 new_esEs4(xy30, xy400, ty_Char) -> new_esEs15(xy30, xy400) 17.23/6.72 17.23/6.72 The set Q consists of the following terms: 17.23/6.72 17.23/6.72 new_esEs4(x0, x1, ty_Integer) 17.23/6.72 new_esEs26(x0, x1, ty_Bool) 17.23/6.72 new_esEs9(EQ, EQ) 17.23/6.72 new_esEs26(x0, x1, ty_@0) 17.23/6.72 new_esEs17(Just(x0), Just(x1), app(app(app(ty_@3, x2), x3), x4)) 17.23/6.72 new_esEs23(x0, x1, ty_Bool) 17.23/6.72 new_esEs19(Right(x0), Right(x1), x2, ty_Int) 17.23/6.72 new_sr(Pos(x0), Neg(x1)) 17.23/6.72 new_sr(Neg(x0), Pos(x1)) 17.23/6.72 new_esEs24(x0, x1, ty_Integer) 17.23/6.72 new_sr(Neg(x0), Neg(x1)) 17.23/6.72 new_primPlusNat1(Zero, Succ(x0)) 17.23/6.72 new_primMulNat0(Zero, Zero) 17.23/6.72 new_esEs6(Float(x0, x1), Float(x2, x3)) 17.23/6.72 new_primPlusNat1(Zero, Zero) 17.23/6.72 new_esEs19(Right(x0), Right(x1), x2, ty_Ordering) 17.23/6.72 new_esEs13(x0, x1, ty_Bool) 17.23/6.72 new_esEs22(x0, x1, ty_@0) 17.23/6.72 new_esEs13(x0, x1, ty_@0) 17.23/6.72 new_esEs22(x0, x1, app(app(ty_@2, x2), x3)) 17.23/6.72 new_esEs13(x0, x1, app(app(ty_@2, x2), x3)) 17.23/6.72 new_esEs19(Right(x0), Right(x1), x2, app(app(ty_@2, x3), x4)) 17.23/6.72 new_esEs23(x0, x1, ty_@0) 17.23/6.72 new_esEs23(x0, x1, app(app(ty_@2, x2), x3)) 17.23/6.72 new_primEqInt(Pos(Succ(x0)), Neg(x1)) 17.23/6.72 new_primEqInt(Neg(Succ(x0)), Pos(x1)) 17.23/6.72 new_esEs18(True, True) 17.23/6.72 new_esEs25(x0, x1, ty_Char) 17.23/6.72 new_primMulNat0(Zero, Succ(x0)) 17.23/6.72 new_esEs19(Left(x0), Left(x1), app(app(ty_Either, x2), x3), x4) 17.23/6.72 new_primEqInt(Pos(Zero), Pos(Zero)) 17.23/6.72 new_esEs7(x0, x1) 17.23/6.72 new_esEs22(x0, x1, ty_Bool) 17.23/6.72 new_esEs26(x0, x1, app(app(ty_@2, x2), x3)) 17.23/6.72 new_esEs19(Right(x0), Right(x1), x2, ty_Float) 17.23/6.72 new_primEqInt(Pos(Zero), Neg(Succ(x0))) 17.23/6.72 new_primEqInt(Neg(Zero), Pos(Succ(x0))) 17.23/6.72 new_esEs19(Left(x0), Left(x1), app(ty_Maybe, x2), x3) 17.23/6.72 new_esEs5([], [], x0) 17.23/6.72 new_esEs17(Just(x0), Just(x1), app(ty_Maybe, x2)) 17.23/6.72 new_esEs22(x0, x1, ty_Char) 17.23/6.72 new_esEs12(x0, x1, ty_Int) 17.23/6.72 new_esEs22(x0, x1, app(app(app(ty_@3, x2), x3), x4)) 17.23/6.72 new_esEs17(Nothing, Just(x0), x1) 17.23/6.72 new_esEs24(x0, x1, app(ty_[], x2)) 17.23/6.72 new_esEs17(Just(x0), Just(x1), ty_Bool) 17.23/6.72 new_primEqInt(Neg(Zero), Neg(Zero)) 17.23/6.72 new_esEs19(Left(x0), Left(x1), ty_Bool, x2) 17.23/6.72 new_esEs25(x0, x1, ty_Bool) 17.23/6.72 new_esEs26(x0, x1, app(ty_[], x2)) 17.23/6.72 new_sr(Pos(x0), Pos(x1)) 17.23/6.72 new_esEs11(x0, x1, ty_Int) 17.23/6.72 new_primMulNat0(Succ(x0), Zero) 17.23/6.72 new_esEs24(x0, x1, ty_@0) 17.23/6.72 new_esEs25(x0, x1, app(app(ty_Either, x2), x3)) 17.23/6.72 new_esEs19(Left(x0), Left(x1), ty_Integer, x2) 17.23/6.72 new_primEqNat0(Succ(x0), Succ(x1)) 17.23/6.72 new_esEs19(Left(x0), Left(x1), app(ty_Ratio, x2), x3) 17.23/6.72 new_esEs4(x0, x1, app(ty_[], x2)) 17.23/6.72 new_esEs9(LT, LT) 17.23/6.72 new_esEs25(x0, x1, app(app(ty_@2, x2), x3)) 17.23/6.72 new_esEs17(Just(x0), Just(x1), app(ty_Ratio, x2)) 17.23/6.72 new_esEs17(Just(x0), Just(x1), ty_Int) 17.23/6.72 new_esEs19(Right(x0), Right(x1), x2, app(app(ty_Either, x3), x4)) 17.23/6.72 new_esEs13(x0, x1, ty_Integer) 17.23/6.72 new_esEs25(x0, x1, app(app(app(ty_@3, x2), x3), x4)) 17.23/6.72 new_esEs22(x0, x1, app(ty_[], x2)) 17.23/6.72 new_esEs24(x0, x1, ty_Float) 17.23/6.72 new_esEs4(x0, x1, app(app(ty_Either, x2), x3)) 17.23/6.72 new_esEs9(EQ, GT) 17.23/6.72 new_esEs9(GT, EQ) 17.23/6.72 new_asAs(True, x0) 17.23/6.72 new_primPlusNat1(Succ(x0), Succ(x1)) 17.23/6.72 new_asAs(False, x0) 17.23/6.72 new_esEs24(x0, x1, app(app(ty_@2, x2), x3)) 17.23/6.72 new_esEs17(Just(x0), Just(x1), ty_Char) 17.23/6.72 new_esEs25(x0, x1, ty_Int) 17.23/6.72 new_esEs22(x0, x1, ty_Int) 17.23/6.72 new_esEs25(x0, x1, app(ty_Maybe, x2)) 17.23/6.72 new_esEs19(Left(x0), Left(x1), app(app(ty_@2, x2), x3), x4) 17.23/6.72 new_esEs4(x0, x1, ty_Bool) 17.23/6.72 new_esEs22(x0, x1, app(ty_Ratio, x2)) 17.23/6.72 new_esEs4(x0, x1, app(ty_Maybe, x2)) 17.23/6.72 new_esEs17(Nothing, Nothing, x0) 17.23/6.72 new_esEs25(x0, x1, app(ty_[], x2)) 17.23/6.72 new_esEs18(False, False) 17.23/6.72 new_esEs19(Right(x0), Right(x1), x2, ty_@0) 17.23/6.72 new_esEs25(x0, x1, ty_@0) 17.23/6.72 new_primEqInt(Pos(Zero), Neg(Zero)) 17.23/6.72 new_primEqInt(Neg(Zero), Pos(Zero)) 17.23/6.72 new_esEs19(Left(x0), Left(x1), ty_Ordering, x2) 17.23/6.72 new_esEs4(x0, x1, app(ty_Ratio, x2)) 17.23/6.72 new_esEs10(:%(x0, x1), :%(x2, x3), x4) 17.23/6.72 new_esEs13(x0, x1, ty_Ordering) 17.23/6.72 new_esEs9(LT, EQ) 17.23/6.72 new_esEs9(EQ, LT) 17.23/6.72 new_esEs23(x0, x1, ty_Integer) 17.23/6.72 new_esEs9(GT, GT) 17.23/6.72 new_primPlusNat0(Succ(x0), x1) 17.23/6.72 new_esEs26(x0, x1, app(ty_Ratio, x2)) 17.23/6.72 new_primEqInt(Neg(Zero), Neg(Succ(x0))) 17.23/6.72 new_esEs23(x0, x1, app(app(ty_Either, x2), x3)) 17.23/6.72 new_esEs17(Just(x0), Just(x1), ty_Float) 17.23/6.72 new_esEs4(x0, x1, app(app(app(ty_@3, x2), x3), x4)) 17.23/6.72 new_esEs17(Just(x0), Just(x1), ty_@0) 17.23/6.72 new_esEs25(x0, x1, ty_Float) 17.23/6.72 new_esEs19(Right(x0), Right(x1), x2, ty_Double) 17.23/6.72 new_esEs17(Just(x0), Nothing, x1) 17.23/6.72 new_esEs22(x0, x1, ty_Float) 17.23/6.72 new_primEqInt(Pos(Succ(x0)), Pos(Succ(x1))) 17.23/6.72 new_esEs9(LT, GT) 17.23/6.72 new_esEs9(GT, LT) 17.23/6.72 new_esEs19(Right(x0), Right(x1), x2, app(ty_Ratio, x3)) 17.23/6.72 new_esEs19(Right(x0), Right(x1), x2, ty_Char) 17.23/6.72 new_esEs26(x0, x1, ty_Integer) 17.23/6.72 new_esEs13(x0, x1, app(app(ty_Either, x2), x3)) 17.23/6.72 new_esEs22(x0, x1, app(ty_Maybe, x2)) 17.23/6.72 new_esEs5([], :(x0, x1), x2) 17.23/6.72 new_esEs11(x0, x1, ty_Integer) 17.23/6.72 new_esEs20(@3(x0, x1, x2), @3(x3, x4, x5), x6, x7, x8) 17.23/6.72 new_esEs4(x0, x1, ty_Int) 17.23/6.72 new_esEs26(x0, x1, ty_Ordering) 17.23/6.72 new_esEs22(x0, x1, app(app(ty_Either, x2), x3)) 17.23/6.72 new_esEs26(x0, x1, ty_Double) 17.23/6.72 new_esEs19(Left(x0), Left(x1), app(ty_[], x2), x3) 17.23/6.72 new_esEs17(Just(x0), Just(x1), ty_Double) 17.23/6.72 new_esEs19(Right(x0), Right(x1), x2, ty_Bool) 17.23/6.72 new_esEs19(Left(x0), Left(x1), ty_Double, x2) 17.23/6.72 new_esEs13(x0, x1, ty_Float) 17.23/6.72 new_esEs19(Left(x0), Left(x1), app(app(app(ty_@3, x2), x3), x4), x5) 17.23/6.72 new_esEs26(x0, x1, app(app(ty_Either, x2), x3)) 17.23/6.72 new_esEs13(x0, x1, app(ty_Maybe, x2)) 17.23/6.72 new_esEs23(x0, x1, ty_Int) 17.23/6.72 new_esEs23(x0, x1, ty_Ordering) 17.23/6.72 new_primPlusNat0(Zero, x0) 17.23/6.72 new_primEqInt(Neg(Succ(x0)), Neg(Zero)) 17.23/6.72 new_primEqInt(Neg(Succ(x0)), Neg(Succ(x1))) 17.23/6.72 new_esEs13(x0, x1, app(ty_[], x2)) 17.23/6.72 new_primEqInt(Pos(Succ(x0)), Pos(Zero)) 17.23/6.72 new_esEs18(False, True) 17.23/6.72 new_esEs18(True, False) 17.23/6.72 new_esEs12(x0, x1, ty_Integer) 17.23/6.72 new_esEs24(x0, x1, app(ty_Maybe, x2)) 17.23/6.72 new_esEs23(x0, x1, app(ty_Maybe, x2)) 17.23/6.72 new_esEs4(x0, x1, ty_Double) 17.23/6.72 new_esEs19(Right(x0), Right(x1), x2, ty_Integer) 17.23/6.72 new_esEs25(x0, x1, ty_Double) 17.23/6.72 new_esEs24(x0, x1, ty_Int) 17.23/6.72 new_esEs13(x0, x1, app(ty_Ratio, x2)) 17.23/6.72 new_esEs4(x0, x1, ty_Ordering) 17.23/6.72 new_esEs26(x0, x1, app(app(app(ty_@3, x2), x3), x4)) 17.23/6.72 new_esEs8(Integer(x0), Integer(x1)) 17.23/6.72 new_esEs4(x0, x1, ty_Char) 17.23/6.72 new_esEs17(Just(x0), Just(x1), app(app(ty_@2, x2), x3)) 17.23/6.72 new_esEs23(x0, x1, ty_Double) 17.23/6.72 new_esEs22(x0, x1, ty_Double) 17.23/6.72 new_esEs15(Char(x0), Char(x1)) 17.23/6.72 new_esEs23(x0, x1, ty_Char) 17.23/6.72 new_esEs24(x0, x1, ty_Char) 17.23/6.72 new_esEs24(x0, x1, ty_Double) 17.23/6.72 new_esEs23(x0, x1, app(ty_Ratio, x2)) 17.23/6.72 new_esEs13(x0, x1, app(app(app(ty_@3, x2), x3), x4)) 17.23/6.72 new_esEs23(x0, x1, app(app(app(ty_@3, x2), x3), x4)) 17.23/6.72 new_esEs22(x0, x1, ty_Integer) 17.23/6.72 new_primEqNat0(Zero, Zero) 17.23/6.72 new_esEs17(Just(x0), Just(x1), ty_Integer) 17.23/6.72 new_esEs19(Right(x0), Right(x1), x2, app(app(app(ty_@3, x3), x4), x5)) 17.23/6.72 new_esEs24(x0, x1, app(app(ty_Either, x2), x3)) 17.23/6.72 new_esEs13(x0, x1, ty_Int) 17.23/6.72 new_esEs24(x0, x1, app(ty_Ratio, x2)) 17.23/6.72 new_esEs19(Left(x0), Left(x1), ty_Int, x2) 17.23/6.72 new_esEs16(@2(x0, x1), @2(x2, x3), x4, x5) 17.23/6.72 new_esEs26(x0, x1, ty_Char) 17.23/6.72 new_esEs25(x0, x1, app(ty_Ratio, x2)) 17.23/6.72 new_esEs23(x0, x1, app(ty_[], x2)) 17.23/6.72 new_esEs19(Right(x0), Right(x1), x2, app(ty_[], x3)) 17.23/6.72 new_esEs4(x0, x1, ty_@0) 17.23/6.72 new_esEs4(x0, x1, app(app(ty_@2, x2), x3)) 17.23/6.72 new_primPlusNat1(Succ(x0), Zero) 17.23/6.72 new_primEqNat0(Succ(x0), Zero) 17.23/6.72 new_esEs24(x0, x1, ty_Bool) 17.23/6.72 new_primMulNat0(Succ(x0), Succ(x1)) 17.23/6.72 new_esEs19(Left(x0), Left(x1), ty_Char, x2) 17.23/6.72 new_esEs4(x0, x1, ty_Float) 17.23/6.72 new_esEs5(:(x0, x1), :(x2, x3), x4) 17.23/6.72 new_primEqInt(Pos(Zero), Pos(Succ(x0))) 17.23/6.72 new_esEs24(x0, x1, ty_Ordering) 17.23/6.72 new_esEs26(x0, x1, ty_Int) 17.23/6.72 new_esEs22(x0, x1, ty_Ordering) 17.23/6.72 new_esEs24(x0, x1, app(app(app(ty_@3, x2), x3), x4)) 17.23/6.72 new_esEs17(Just(x0), Just(x1), ty_Ordering) 17.23/6.72 new_esEs19(Right(x0), Right(x1), x2, app(ty_Maybe, x3)) 17.23/6.72 new_esEs21(@0, @0) 17.23/6.72 new_esEs23(x0, x1, ty_Float) 17.23/6.72 new_esEs25(x0, x1, ty_Ordering) 17.23/6.72 new_esEs13(x0, x1, ty_Double) 17.23/6.72 new_esEs19(Left(x0), Left(x1), ty_Float, x2) 17.23/6.72 new_esEs25(x0, x1, ty_Integer) 17.23/6.72 new_esEs14(Double(x0, x1), Double(x2, x3)) 17.23/6.72 new_esEs19(Left(x0), Right(x1), x2, x3) 17.23/6.72 new_esEs19(Right(x0), Left(x1), x2, x3) 17.23/6.72 new_esEs5(:(x0, x1), [], x2) 17.23/6.72 new_esEs19(Left(x0), Left(x1), ty_@0, x2) 17.23/6.72 new_esEs17(Just(x0), Just(x1), app(ty_[], x2)) 17.23/6.72 new_primEqNat0(Zero, Succ(x0)) 17.23/6.72 new_esEs17(Just(x0), Just(x1), app(app(ty_Either, x2), x3)) 17.23/6.72 new_esEs13(x0, x1, ty_Char) 17.23/6.72 new_esEs26(x0, x1, app(ty_Maybe, x2)) 17.23/6.72 new_esEs26(x0, x1, ty_Float) 17.23/6.72 17.23/6.72 We have to consider all minimal (P,Q,R)-chains. 17.23/6.72 ---------------------------------------- 17.23/6.72 17.23/6.72 (19) QDPSizeChangeProof (EQUIVALENT) 17.23/6.72 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. 17.23/6.72 17.23/6.72 From the DPs we obtained the following set of size-change graphs: 17.23/6.72 *new_deleteBy0(xy12, xy13, xy14, xy15, xy16, False, ba) -> new_deleteBy(:(xy15, xy16), xy12, ba) 17.23/6.72 The graph contains the following edges 1 >= 2, 7 >= 3 17.23/6.72 17.23/6.72 17.23/6.72 *new_deleteBy(:(xy30, xy31), :([], xy41), bb) -> new_deleteBy(:(xy30, xy31), xy41, bb) 17.23/6.72 The graph contains the following edges 1 >= 1, 2 > 2, 3 >= 3 17.23/6.72 17.23/6.72 17.23/6.72 *new_deleteBy(:(xy30, xy31), :(:(xy400, xy401), xy41), bb) -> new_deleteBy0(xy41, xy400, xy401, xy30, xy31, new_asAs(new_esEs4(xy30, xy400, bb), new_esEs5(xy31, xy401, bb)), bb) 17.23/6.72 The graph contains the following edges 2 > 1, 2 > 2, 2 > 3, 1 > 4, 1 > 5, 3 >= 7 17.23/6.72 17.23/6.72 17.23/6.72 ---------------------------------------- 17.23/6.72 17.23/6.72 (20) 17.23/6.72 YES 17.23/6.72 17.23/6.72 ---------------------------------------- 17.23/6.72 17.23/6.72 (21) 17.23/6.72 Obligation: 17.23/6.72 Q DP problem: 17.23/6.72 The TRS P consists of the following rules: 17.23/6.72 17.23/6.72 new_primMulNat(Succ(xy30000), Succ(xy400100)) -> new_primMulNat(xy30000, Succ(xy400100)) 17.23/6.72 17.23/6.72 R is empty. 17.23/6.72 Q is empty. 17.23/6.72 We have to consider all minimal (P,Q,R)-chains. 17.23/6.72 ---------------------------------------- 17.23/6.72 17.23/6.72 (22) QDPSizeChangeProof (EQUIVALENT) 17.23/6.72 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. 17.23/6.72 17.23/6.72 From the DPs we obtained the following set of size-change graphs: 17.23/6.72 *new_primMulNat(Succ(xy30000), Succ(xy400100)) -> new_primMulNat(xy30000, Succ(xy400100)) 17.23/6.72 The graph contains the following edges 1 > 1, 2 >= 2 17.23/6.72 17.23/6.72 17.23/6.72 ---------------------------------------- 17.23/6.72 17.23/6.72 (23) 17.23/6.72 YES 17.23/6.72 17.23/6.72 ---------------------------------------- 17.23/6.72 17.23/6.72 (24) 17.23/6.72 Obligation: 17.23/6.72 Q DP problem: 17.23/6.72 The TRS P consists of the following rules: 17.23/6.72 17.23/6.72 new_primPlusNat(Succ(xy3200), Succ(xy4001000)) -> new_primPlusNat(xy3200, xy4001000) 17.23/6.72 17.23/6.72 R is empty. 17.23/6.72 Q is empty. 17.23/6.72 We have to consider all minimal (P,Q,R)-chains. 17.23/6.72 ---------------------------------------- 17.23/6.72 17.23/6.72 (25) QDPSizeChangeProof (EQUIVALENT) 17.23/6.72 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. 17.23/6.72 17.23/6.72 From the DPs we obtained the following set of size-change graphs: 17.23/6.72 *new_primPlusNat(Succ(xy3200), Succ(xy4001000)) -> new_primPlusNat(xy3200, xy4001000) 17.23/6.72 The graph contains the following edges 1 > 1, 2 > 2 17.23/6.72 17.23/6.72 17.23/6.72 ---------------------------------------- 17.23/6.72 17.23/6.72 (26) 17.23/6.72 YES 17.23/6.72 17.23/6.72 ---------------------------------------- 17.23/6.72 17.23/6.72 (27) 17.23/6.72 Obligation: 17.23/6.72 Q DP problem: 17.23/6.72 The TRS P consists of the following rules: 17.23/6.72 17.23/6.72 new_primEqNat(Succ(xy3000), Succ(xy40000)) -> new_primEqNat(xy3000, xy40000) 17.23/6.72 17.23/6.72 R is empty. 17.23/6.72 Q is empty. 17.23/6.72 We have to consider all minimal (P,Q,R)-chains. 17.23/6.72 ---------------------------------------- 17.23/6.72 17.23/6.72 (28) QDPSizeChangeProof (EQUIVALENT) 17.23/6.72 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. 17.23/6.72 17.23/6.72 From the DPs we obtained the following set of size-change graphs: 17.23/6.72 *new_primEqNat(Succ(xy3000), Succ(xy40000)) -> new_primEqNat(xy3000, xy40000) 17.23/6.72 The graph contains the following edges 1 > 1, 2 > 2 17.23/6.72 17.23/6.72 17.23/6.72 ---------------------------------------- 17.23/6.72 17.23/6.72 (29) 17.23/6.72 YES 17.23/6.77 EOF