/export/starexec/sandbox/solver/bin/starexec_run_standard /export/starexec/sandbox/benchmark/theBenchmark.hs /export/starexec/sandbox/output/output_files -------------------------------------------------------------------------------- YES proof of /export/starexec/sandbox/benchmark/theBenchmark.hs # AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty H-Termination with start terms of the given HASKELL could be proven: (0) HASKELL (1) IFR [EQUIVALENT, 0 ms] (2) HASKELL (3) BR [EQUIVALENT, 0 ms] (4) HASKELL (5) COR [EQUIVALENT, 7 ms] (6) HASKELL (7) Narrow [SOUND, 0 ms] (8) AND (9) QDP (10) QDPSizeChangeProof [EQUIVALENT, 0 ms] (11) YES (12) QDP (13) QDPSizeChangeProof [EQUIVALENT, 18 ms] (14) YES (15) QDP (16) DependencyGraphProof [EQUIVALENT, 0 ms] (17) AND (18) QDP (19) QDPSizeChangeProof [EQUIVALENT, 0 ms] (20) YES (21) QDP (22) QDPSizeChangeProof [EQUIVALENT, 0 ms] (23) YES (24) QDP (25) QDPSizeChangeProof [EQUIVALENT, 0 ms] (26) YES (27) QDP (28) QDPSizeChangeProof [EQUIVALENT, 0 ms] (29) YES ---------------------------------------- (0) Obligation: mainModule Main module Maybe where { import qualified List; import qualified Main; import qualified Prelude; } module List where { import qualified Main; import qualified Maybe; import qualified Prelude; delete :: Eq a => a -> [a] -> [a]; delete = deleteBy (==); deleteBy :: (a -> a -> Bool) -> a -> [a] -> [a]; deleteBy _ _ [] = []; deleteBy eq x (y : ys) = if x `eq` y then ys else y : deleteBy eq x ys; } module Main where { import qualified List; import qualified Maybe; import qualified Prelude; } ---------------------------------------- (1) IFR (EQUIVALENT) If Reductions: The following If expression "if eq x y then ys else y : deleteBy eq x ys" is transformed to "deleteBy0 ys y eq x True = ys; deleteBy0 ys y eq x False = y : deleteBy eq x ys; " ---------------------------------------- (2) Obligation: mainModule Main module Maybe where { import qualified List; import qualified Main; import qualified Prelude; } module List where { import qualified Main; import qualified Maybe; import qualified Prelude; delete :: Eq a => a -> [a] -> [a]; delete = deleteBy (==); deleteBy :: (a -> a -> Bool) -> a -> [a] -> [a]; deleteBy _ _ [] = []; deleteBy eq x (y : ys) = deleteBy0 ys y eq x (x `eq` y); deleteBy0 ys y eq x True = ys; deleteBy0 ys y eq x False = y : deleteBy eq x ys; } module Main where { import qualified List; import qualified Maybe; import qualified Prelude; } ---------------------------------------- (3) BR (EQUIVALENT) Replaced joker patterns by fresh variables and removed binding patterns. ---------------------------------------- (4) Obligation: mainModule Main module Maybe where { import qualified List; import qualified Main; import qualified Prelude; } module List where { import qualified Main; import qualified Maybe; import qualified Prelude; delete :: Eq a => a -> [a] -> [a]; delete = deleteBy (==); deleteBy :: (a -> a -> Bool) -> a -> [a] -> [a]; deleteBy xw xx [] = []; deleteBy eq x (y : ys) = deleteBy0 ys y eq x (x `eq` y); deleteBy0 ys y eq x True = ys; deleteBy0 ys y eq x False = y : deleteBy eq x ys; } module Main where { import qualified List; import qualified Maybe; import qualified Prelude; } ---------------------------------------- (5) COR (EQUIVALENT) Cond Reductions: The following Function with conditions "undefined |Falseundefined; " is transformed to "undefined = undefined1; " "undefined0 True = undefined; " "undefined1 = undefined0 False; " ---------------------------------------- (6) Obligation: mainModule Main module Maybe where { import qualified List; import qualified Main; import qualified Prelude; } module List where { import qualified Main; import qualified Maybe; import qualified Prelude; delete :: Eq a => a -> [a] -> [a]; delete = deleteBy (==); deleteBy :: (a -> a -> Bool) -> a -> [a] -> [a]; deleteBy xw xx [] = []; deleteBy eq x (y : ys) = deleteBy0 ys y eq x (x `eq` y); deleteBy0 ys y eq x True = ys; deleteBy0 ys y eq x False = y : deleteBy eq x ys; } module Main where { import qualified List; import qualified Maybe; import qualified Prelude; } ---------------------------------------- (7) Narrow (SOUND) Haskell To QDPs digraph dp_graph { node [outthreshold=100, inthreshold=100];1[label="List.delete",fontsize=16,color="grey",shape="box"];1 -> 3[label="",style="dashed", color="grey", weight=3]; 3[label="List.delete xy3",fontsize=16,color="grey",shape="box"];3 -> 4[label="",style="dashed", color="grey", weight=3]; 4[label="List.delete xy3 xy4",fontsize=16,color="black",shape="triangle"];4 -> 5[label="",style="solid", color="black", weight=3]; 5[label="List.deleteBy (==) xy3 xy4",fontsize=16,color="burlywood",shape="triangle"];938[label="xy4/xy40 : xy41",fontsize=10,color="white",style="solid",shape="box"];5 -> 938[label="",style="solid", color="burlywood", weight=9]; 938 -> 6[label="",style="solid", color="burlywood", weight=3]; 939[label="xy4/[]",fontsize=10,color="white",style="solid",shape="box"];5 -> 939[label="",style="solid", color="burlywood", weight=9]; 939 -> 7[label="",style="solid", color="burlywood", weight=3]; 6[label="List.deleteBy (==) xy3 (xy40 : xy41)",fontsize=16,color="black",shape="box"];6 -> 8[label="",style="solid", color="black", weight=3]; 7[label="List.deleteBy (==) xy3 []",fontsize=16,color="black",shape="box"];7 -> 9[label="",style="solid", color="black", weight=3]; 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943 -> 13[label="",style="solid", color="burlywood", weight=3]; 11[label="List.deleteBy0 xy41 xy40 (==) [] ((==) [] xy40)",fontsize=16,color="burlywood",shape="box"];944[label="xy40/xy400 : xy401",fontsize=10,color="white",style="solid",shape="box"];11 -> 944[label="",style="solid", color="burlywood", weight=9]; 944 -> 14[label="",style="solid", color="burlywood", weight=3]; 945[label="xy40/[]",fontsize=10,color="white",style="solid",shape="box"];11 -> 945[label="",style="solid", color="burlywood", weight=9]; 945 -> 15[label="",style="solid", color="burlywood", weight=3]; 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]; 13[label="List.deleteBy0 xy41 [] (==) (xy30 : xy31) ((==) xy30 : xy31 [])",fontsize=16,color="black",shape="box"];13 -> 17[label="",style="solid", color="black", weight=3]; 14[label="List.deleteBy0 xy41 (xy400 : xy401) (==) [] ((==) [] xy400 : xy401)",fontsize=16,color="black",shape="box"];14 -> 18[label="",style="solid", color="black", weight=3]; 15[label="List.deleteBy0 xy41 [] (==) [] ((==) [] [])",fontsize=16,color="black",shape="box"];15 -> 19[label="",style="solid", color="black", weight=3]; 16 -> 110[label="",style="dashed", color="red", weight=0]; 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]; 16 -> 112[label="",style="dashed", color="magenta", weight=3]; 16 -> 113[label="",style="dashed", color="magenta", weight=3]; 16 -> 114[label="",style="dashed", color="magenta", weight=3]; 16 -> 115[label="",style="dashed", color="magenta", weight=3]; 16 -> 116[label="",style="dashed", color="magenta", weight=3]; 17[label="List.deleteBy0 xy41 [] (==) (xy30 : xy31) False",fontsize=16,color="black",shape="box"];17 -> 27[label="",style="solid", color="black", weight=3]; 18[label="List.deleteBy0 xy41 (xy400 : xy401) (==) [] False",fontsize=16,color="black",shape="box"];18 -> 28[label="",style="solid", color="black", weight=3]; 19[label="List.deleteBy0 xy41 [] (==) [] True",fontsize=16,color="black",shape="box"];19 -> 29[label="",style="solid", color="black", weight=3]; 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 -> 303[label="",style="dashed", color="red", weight=0]; 114[label="xy30 == xy400 && xy31 == xy401",fontsize=16,color="magenta"];114 -> 304[label="",style="dashed", color="magenta", weight=3]; 114 -> 305[label="",style="dashed", color="magenta", weight=3]; 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"];946[label="xy18/False",fontsize=10,color="white",style="solid",shape="box"];110 -> 946[label="",style="solid", color="burlywood", weight=9]; 946 -> 124[label="",style="solid", color="burlywood", weight=3]; 947[label="xy18/True",fontsize=10,color="white",style="solid",shape="box"];110 -> 947[label="",style="solid", color="burlywood", weight=9]; 947 -> 125[label="",style="solid", color="burlywood", weight=3]; 27[label="[] : List.deleteBy (==) (xy30 : xy31) xy41",fontsize=16,color="green",shape="box"];27 -> 46[label="",style="dashed", color="green", weight=3]; 28[label="(xy400 : xy401) : List.deleteBy (==) [] xy41",fontsize=16,color="green",shape="box"];28 -> 47[label="",style="dashed", color="green", weight=3]; 29[label="xy41",fontsize=16,color="green",shape="box"];304[label="xy30 == xy400",fontsize=16,color="blue",shape="box"];948[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];304 -> 948[label="",style="solid", color="blue", weight=9]; 948 -> 308[label="",style="solid", color="blue", weight=3]; 949[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];304 -> 949[label="",style="solid", color="blue", weight=9]; 949 -> 309[label="",style="solid", color="blue", weight=3]; 950[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];304 -> 950[label="",style="solid", color="blue", weight=9]; 950 -> 310[label="",style="solid", color="blue", weight=3]; 951[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];304 -> 951[label="",style="solid", color="blue", weight=9]; 951 -> 311[label="",style="solid", color="blue", weight=3]; 952[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];304 -> 952[label="",style="solid", color="blue", weight=9]; 952 -> 312[label="",style="solid", color="blue", weight=3]; 953[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];304 -> 953[label="",style="solid", color="blue", weight=9]; 953 -> 313[label="",style="solid", color="blue", weight=3]; 954[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];304 -> 954[label="",style="solid", color="blue", weight=9]; 954 -> 314[label="",style="solid", color="blue", weight=3]; 955[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];304 -> 955[label="",style="solid", color="blue", weight=9]; 955 -> 315[label="",style="solid", color="blue", weight=3]; 956[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];304 -> 956[label="",style="solid", color="blue", weight=9]; 956 -> 316[label="",style="solid", color="blue", weight=3]; 957[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];304 -> 957[label="",style="solid", color="blue", weight=9]; 957 -> 317[label="",style="solid", color="blue", weight=3]; 958[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];304 -> 958[label="",style="solid", color="blue", weight=9]; 958 -> 318[label="",style="solid", color="blue", weight=3]; 959[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];304 -> 959[label="",style="solid", color="blue", weight=9]; 959 -> 319[label="",style="solid", color="blue", weight=3]; 960[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];304 -> 960[label="",style="solid", color="blue", weight=9]; 960 -> 320[label="",style="solid", color="blue", weight=3]; 961[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];304 -> 961[label="",style="solid", color="blue", weight=9]; 961 -> 321[label="",style="solid", color="blue", weight=3]; 305[label="xy31 == xy401",fontsize=16,color="burlywood",shape="triangle"];962[label="xy31/xy310 : xy311",fontsize=10,color="white",style="solid",shape="box"];305 -> 962[label="",style="solid", color="burlywood", weight=9]; 962 -> 322[label="",style="solid", color="burlywood", weight=3]; 963[label="xy31/[]",fontsize=10,color="white",style="solid",shape="box"];305 -> 963[label="",style="solid", color="burlywood", weight=9]; 963 -> 323[label="",style="solid", color="burlywood", weight=3]; 303[label="xy30 && xy31",fontsize=16,color="burlywood",shape="triangle"];964[label="xy30/False",fontsize=10,color="white",style="solid",shape="box"];303 -> 964[label="",style="solid", color="burlywood", weight=9]; 964 -> 324[label="",style="solid", color="burlywood", weight=3]; 965[label="xy30/True",fontsize=10,color="white",style="solid",shape="box"];303 -> 965[label="",style="solid", color="burlywood", weight=9]; 965 -> 325[label="",style="solid", color="burlywood", weight=3]; 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]; 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]; 46 -> 5[label="",style="dashed", color="red", weight=0]; 46[label="List.deleteBy (==) (xy30 : xy31) xy41",fontsize=16,color="magenta"];46 -> 70[label="",style="dashed", color="magenta", weight=3]; 46 -> 71[label="",style="dashed", color="magenta", weight=3]; 47 -> 5[label="",style="dashed", color="red", weight=0]; 47[label="List.deleteBy (==) [] xy41",fontsize=16,color="magenta"];47 -> 72[label="",style="dashed", color="magenta", weight=3]; 47 -> 73[label="",style="dashed", color="magenta", weight=3]; 308[label="xy30 == xy400",fontsize=16,color="burlywood",shape="triangle"];966[label="xy30/False",fontsize=10,color="white",style="solid",shape="box"];308 -> 966[label="",style="solid", color="burlywood", weight=9]; 966 -> 326[label="",style="solid", color="burlywood", weight=3]; 967[label="xy30/True",fontsize=10,color="white",style="solid",shape="box"];308 -> 967[label="",style="solid", color="burlywood", weight=9]; 967 -> 327[label="",style="solid", color="burlywood", weight=3]; 309[label="xy30 == xy400",fontsize=16,color="burlywood",shape="triangle"];968[label="xy30/xy300 :% xy301",fontsize=10,color="white",style="solid",shape="box"];309 -> 968[label="",style="solid", color="burlywood", weight=9]; 968 -> 328[label="",style="solid", color="burlywood", weight=3]; 310[label="xy30 == xy400",fontsize=16,color="black",shape="triangle"];310 -> 329[label="",style="solid", color="black", weight=3]; 311[label="xy30 == xy400",fontsize=16,color="burlywood",shape="triangle"];969[label="xy30/(xy300,xy301,xy302)",fontsize=10,color="white",style="solid",shape="box"];311 -> 969[label="",style="solid", color="burlywood", weight=9]; 969 -> 330[label="",style="solid", color="burlywood", weight=3]; 312[label="xy30 == xy400",fontsize=16,color="burlywood",shape="triangle"];970[label="xy30/Nothing",fontsize=10,color="white",style="solid",shape="box"];312 -> 970[label="",style="solid", color="burlywood", weight=9]; 970 -> 331[label="",style="solid", color="burlywood", weight=3]; 971[label="xy30/Just xy300",fontsize=10,color="white",style="solid",shape="box"];312 -> 971[label="",style="solid", color="burlywood", weight=9]; 971 -> 332[label="",style="solid", color="burlywood", weight=3]; 313[label="xy30 == xy400",fontsize=16,color="burlywood",shape="triangle"];972[label="xy30/()",fontsize=10,color="white",style="solid",shape="box"];313 -> 972[label="",style="solid", color="burlywood", weight=9]; 972 -> 333[label="",style="solid", color="burlywood", weight=3]; 314[label="xy30 == xy400",fontsize=16,color="black",shape="triangle"];314 -> 334[label="",style="solid", color="black", weight=3]; 315[label="xy30 == xy400",fontsize=16,color="burlywood",shape="triangle"];973[label="xy30/Left xy300",fontsize=10,color="white",style="solid",shape="box"];315 -> 973[label="",style="solid", color="burlywood", weight=9]; 973 -> 335[label="",style="solid", color="burlywood", weight=3]; 974[label="xy30/Right xy300",fontsize=10,color="white",style="solid",shape="box"];315 -> 974[label="",style="solid", color="burlywood", weight=9]; 974 -> 336[label="",style="solid", color="burlywood", weight=3]; 316[label="xy30 == xy400",fontsize=16,color="black",shape="triangle"];316 -> 337[label="",style="solid", color="black", weight=3]; 317 -> 305[label="",style="dashed", color="red", weight=0]; 317[label="xy30 == xy400",fontsize=16,color="magenta"];317 -> 338[label="",style="dashed", color="magenta", weight=3]; 317 -> 339[label="",style="dashed", color="magenta", weight=3]; 318[label="xy30 == xy400",fontsize=16,color="burlywood",shape="triangle"];975[label="xy30/Integer xy300",fontsize=10,color="white",style="solid",shape="box"];318 -> 975[label="",style="solid", color="burlywood", weight=9]; 975 -> 340[label="",style="solid", color="burlywood", weight=3]; 319[label="xy30 == xy400",fontsize=16,color="black",shape="triangle"];319 -> 341[label="",style="solid", color="black", weight=3]; 320[label="xy30 == xy400",fontsize=16,color="burlywood",shape="triangle"];976[label="xy30/LT",fontsize=10,color="white",style="solid",shape="box"];320 -> 976[label="",style="solid", color="burlywood", weight=9]; 976 -> 342[label="",style="solid", color="burlywood", weight=3]; 977[label="xy30/EQ",fontsize=10,color="white",style="solid",shape="box"];320 -> 977[label="",style="solid", color="burlywood", weight=9]; 977 -> 343[label="",style="solid", color="burlywood", weight=3]; 978[label="xy30/GT",fontsize=10,color="white",style="solid",shape="box"];320 -> 978[label="",style="solid", color="burlywood", weight=9]; 978 -> 344[label="",style="solid", color="burlywood", weight=3]; 321[label="xy30 == xy400",fontsize=16,color="burlywood",shape="triangle"];979[label="xy30/(xy300,xy301)",fontsize=10,color="white",style="solid",shape="box"];321 -> 979[label="",style="solid", color="burlywood", weight=9]; 979 -> 345[label="",style="solid", color="burlywood", weight=3]; 322[label="xy310 : xy311 == xy401",fontsize=16,color="burlywood",shape="box"];980[label="xy401/xy4010 : xy4011",fontsize=10,color="white",style="solid",shape="box"];322 -> 980[label="",style="solid", color="burlywood", weight=9]; 980 -> 346[label="",style="solid", color="burlywood", weight=3]; 981[label="xy401/[]",fontsize=10,color="white",style="solid",shape="box"];322 -> 981[label="",style="solid", color="burlywood", weight=9]; 981 -> 347[label="",style="solid", color="burlywood", weight=3]; 323[label="[] == xy401",fontsize=16,color="burlywood",shape="box"];982[label="xy401/xy4010 : xy4011",fontsize=10,color="white",style="solid",shape="box"];323 -> 982[label="",style="solid", color="burlywood", weight=9]; 982 -> 348[label="",style="solid", color="burlywood", weight=3]; 983[label="xy401/[]",fontsize=10,color="white",style="solid",shape="box"];323 -> 983[label="",style="solid", color="burlywood", weight=9]; 983 -> 349[label="",style="solid", color="burlywood", weight=3]; 324[label="False && xy31",fontsize=16,color="black",shape="box"];324 -> 350[label="",style="solid", color="black", weight=3]; 325[label="True && xy31",fontsize=16,color="black",shape="box"];325 -> 351[label="",style="solid", color="black", weight=3]; 142[label="(xy13 : xy14) : List.deleteBy (==) (xy15 : xy16) xy12",fontsize=16,color="green",shape="box"];142 -> 166[label="",style="dashed", color="green", weight=3]; 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"];326[label="False == xy400",fontsize=16,color="burlywood",shape="box"];984[label="xy400/False",fontsize=10,color="white",style="solid",shape="box"];326 -> 984[label="",style="solid", color="burlywood", weight=9]; 984 -> 352[label="",style="solid", color="burlywood", weight=3]; 985[label="xy400/True",fontsize=10,color="white",style="solid",shape="box"];326 -> 985[label="",style="solid", color="burlywood", weight=9]; 985 -> 353[label="",style="solid", color="burlywood", weight=3]; 327[label="True == xy400",fontsize=16,color="burlywood",shape="box"];986[label="xy400/False",fontsize=10,color="white",style="solid",shape="box"];327 -> 986[label="",style="solid", color="burlywood", weight=9]; 986 -> 354[label="",style="solid", color="burlywood", weight=3]; 987[label="xy400/True",fontsize=10,color="white",style="solid",shape="box"];327 -> 987[label="",style="solid", color="burlywood", weight=9]; 987 -> 355[label="",style="solid", color="burlywood", weight=3]; 328[label="xy300 :% xy301 == xy400",fontsize=16,color="burlywood",shape="box"];988[label="xy400/xy4000 :% xy4001",fontsize=10,color="white",style="solid",shape="box"];328 -> 988[label="",style="solid", color="burlywood", weight=9]; 988 -> 356[label="",style="solid", color="burlywood", weight=3]; 329[label="primEqFloat xy30 xy400",fontsize=16,color="burlywood",shape="box"];989[label="xy30/Float xy300 xy301",fontsize=10,color="white",style="solid",shape="box"];329 -> 989[label="",style="solid", color="burlywood", weight=9]; 989 -> 357[label="",style="solid", color="burlywood", weight=3]; 330[label="(xy300,xy301,xy302) == xy400",fontsize=16,color="burlywood",shape="box"];990[label="xy400/(xy4000,xy4001,xy4002)",fontsize=10,color="white",style="solid",shape="box"];330 -> 990[label="",style="solid", color="burlywood", weight=9]; 990 -> 358[label="",style="solid", color="burlywood", weight=3]; 331[label="Nothing == xy400",fontsize=16,color="burlywood",shape="box"];991[label="xy400/Nothing",fontsize=10,color="white",style="solid",shape="box"];331 -> 991[label="",style="solid", color="burlywood", weight=9]; 991 -> 359[label="",style="solid", color="burlywood", weight=3]; 992[label="xy400/Just xy4000",fontsize=10,color="white",style="solid",shape="box"];331 -> 992[label="",style="solid", color="burlywood", weight=9]; 992 -> 360[label="",style="solid", color="burlywood", weight=3]; 332[label="Just xy300 == xy400",fontsize=16,color="burlywood",shape="box"];993[label="xy400/Nothing",fontsize=10,color="white",style="solid",shape="box"];332 -> 993[label="",style="solid", color="burlywood", weight=9]; 993 -> 361[label="",style="solid", color="burlywood", weight=3]; 994[label="xy400/Just xy4000",fontsize=10,color="white",style="solid",shape="box"];332 -> 994[label="",style="solid", color="burlywood", weight=9]; 994 -> 362[label="",style="solid", color="burlywood", weight=3]; 333[label="() == xy400",fontsize=16,color="burlywood",shape="box"];995[label="xy400/()",fontsize=10,color="white",style="solid",shape="box"];333 -> 995[label="",style="solid", color="burlywood", weight=9]; 995 -> 363[label="",style="solid", color="burlywood", weight=3]; 334[label="primEqInt xy30 xy400",fontsize=16,color="burlywood",shape="triangle"];996[label="xy30/Pos xy300",fontsize=10,color="white",style="solid",shape="box"];334 -> 996[label="",style="solid", color="burlywood", weight=9]; 996 -> 364[label="",style="solid", color="burlywood", weight=3]; 997[label="xy30/Neg xy300",fontsize=10,color="white",style="solid",shape="box"];334 -> 997[label="",style="solid", color="burlywood", weight=9]; 997 -> 365[label="",style="solid", color="burlywood", weight=3]; 335[label="Left xy300 == xy400",fontsize=16,color="burlywood",shape="box"];998[label="xy400/Left xy4000",fontsize=10,color="white",style="solid",shape="box"];335 -> 998[label="",style="solid", color="burlywood", weight=9]; 998 -> 366[label="",style="solid", color="burlywood", weight=3]; 999[label="xy400/Right xy4000",fontsize=10,color="white",style="solid",shape="box"];335 -> 999[label="",style="solid", color="burlywood", weight=9]; 999 -> 367[label="",style="solid", color="burlywood", weight=3]; 336[label="Right xy300 == xy400",fontsize=16,color="burlywood",shape="box"];1000[label="xy400/Left xy4000",fontsize=10,color="white",style="solid",shape="box"];336 -> 1000[label="",style="solid", color="burlywood", weight=9]; 1000 -> 368[label="",style="solid", color="burlywood", weight=3]; 1001[label="xy400/Right xy4000",fontsize=10,color="white",style="solid",shape="box"];336 -> 1001[label="",style="solid", color="burlywood", weight=9]; 1001 -> 369[label="",style="solid", color="burlywood", weight=3]; 337[label="primEqChar xy30 xy400",fontsize=16,color="burlywood",shape="box"];1002[label="xy30/Char xy300",fontsize=10,color="white",style="solid",shape="box"];337 -> 1002[label="",style="solid", color="burlywood", weight=9]; 1002 -> 370[label="",style="solid", color="burlywood", weight=3]; 338[label="xy30",fontsize=16,color="green",shape="box"];339[label="xy400",fontsize=16,color="green",shape="box"];340[label="Integer xy300 == xy400",fontsize=16,color="burlywood",shape="box"];1003[label="xy400/Integer xy4000",fontsize=10,color="white",style="solid",shape="box"];340 -> 1003[label="",style="solid", color="burlywood", weight=9]; 1003 -> 371[label="",style="solid", color="burlywood", weight=3]; 341[label="primEqDouble xy30 xy400",fontsize=16,color="burlywood",shape="box"];1004[label="xy30/Double xy300 xy301",fontsize=10,color="white",style="solid",shape="box"];341 -> 1004[label="",style="solid", color="burlywood", weight=9]; 1004 -> 372[label="",style="solid", color="burlywood", weight=3]; 342[label="LT == xy400",fontsize=16,color="burlywood",shape="box"];1005[label="xy400/LT",fontsize=10,color="white",style="solid",shape="box"];342 -> 1005[label="",style="solid", color="burlywood", weight=9]; 1005 -> 373[label="",style="solid", color="burlywood", weight=3]; 1006[label="xy400/EQ",fontsize=10,color="white",style="solid",shape="box"];342 -> 1006[label="",style="solid", color="burlywood", weight=9]; 1006 -> 374[label="",style="solid", color="burlywood", weight=3]; 1007[label="xy400/GT",fontsize=10,color="white",style="solid",shape="box"];342 -> 1007[label="",style="solid", color="burlywood", weight=9]; 1007 -> 375[label="",style="solid", color="burlywood", weight=3]; 343[label="EQ == xy400",fontsize=16,color="burlywood",shape="box"];1008[label="xy400/LT",fontsize=10,color="white",style="solid",shape="box"];343 -> 1008[label="",style="solid", color="burlywood", weight=9]; 1008 -> 376[label="",style="solid", color="burlywood", weight=3]; 1009[label="xy400/EQ",fontsize=10,color="white",style="solid",shape="box"];343 -> 1009[label="",style="solid", color="burlywood", weight=9]; 1009 -> 377[label="",style="solid", color="burlywood", weight=3]; 1010[label="xy400/GT",fontsize=10,color="white",style="solid",shape="box"];343 -> 1010[label="",style="solid", color="burlywood", weight=9]; 1010 -> 378[label="",style="solid", color="burlywood", weight=3]; 344[label="GT == xy400",fontsize=16,color="burlywood",shape="box"];1011[label="xy400/LT",fontsize=10,color="white",style="solid",shape="box"];344 -> 1011[label="",style="solid", color="burlywood", weight=9]; 1011 -> 379[label="",style="solid", color="burlywood", weight=3]; 1012[label="xy400/EQ",fontsize=10,color="white",style="solid",shape="box"];344 -> 1012[label="",style="solid", color="burlywood", weight=9]; 1012 -> 380[label="",style="solid", color="burlywood", weight=3]; 1013[label="xy400/GT",fontsize=10,color="white",style="solid",shape="box"];344 -> 1013[label="",style="solid", color="burlywood", weight=9]; 1013 -> 381[label="",style="solid", color="burlywood", weight=3]; 345[label="(xy300,xy301) == xy400",fontsize=16,color="burlywood",shape="box"];1014[label="xy400/(xy4000,xy4001)",fontsize=10,color="white",style="solid",shape="box"];345 -> 1014[label="",style="solid", color="burlywood", weight=9]; 1014 -> 382[label="",style="solid", color="burlywood", weight=3]; 346[label="xy310 : xy311 == xy4010 : xy4011",fontsize=16,color="black",shape="box"];346 -> 383[label="",style="solid", color="black", weight=3]; 347[label="xy310 : xy311 == []",fontsize=16,color="black",shape="box"];347 -> 384[label="",style="solid", color="black", weight=3]; 348[label="[] == xy4010 : xy4011",fontsize=16,color="black",shape="box"];348 -> 385[label="",style="solid", color="black", weight=3]; 349[label="[] == []",fontsize=16,color="black",shape="box"];349 -> 386[label="",style="solid", color="black", weight=3]; 350[label="False",fontsize=16,color="green",shape="box"];351[label="xy31",fontsize=16,color="green",shape="box"];166 -> 5[label="",style="dashed", color="red", weight=0]; 166[label="List.deleteBy (==) (xy15 : xy16) xy12",fontsize=16,color="magenta"];166 -> 216[label="",style="dashed", color="magenta", weight=3]; 166 -> 217[label="",style="dashed", color="magenta", weight=3]; 352[label="False == False",fontsize=16,color="black",shape="box"];352 -> 387[label="",style="solid", color="black", weight=3]; 353[label="False == True",fontsize=16,color="black",shape="box"];353 -> 388[label="",style="solid", color="black", weight=3]; 354[label="True == False",fontsize=16,color="black",shape="box"];354 -> 389[label="",style="solid", color="black", weight=3]; 355[label="True == True",fontsize=16,color="black",shape="box"];355 -> 390[label="",style="solid", color="black", weight=3]; 356[label="xy300 :% xy301 == xy4000 :% xy4001",fontsize=16,color="black",shape="box"];356 -> 391[label="",style="solid", color="black", weight=3]; 357[label="primEqFloat (Float xy300 xy301) xy400",fontsize=16,color="burlywood",shape="box"];1015[label="xy400/Float xy4000 xy4001",fontsize=10,color="white",style="solid",shape="box"];357 -> 1015[label="",style="solid", color="burlywood", weight=9]; 1015 -> 392[label="",style="solid", color="burlywood", weight=3]; 358[label="(xy300,xy301,xy302) == (xy4000,xy4001,xy4002)",fontsize=16,color="black",shape="box"];358 -> 393[label="",style="solid", color="black", weight=3]; 359[label="Nothing == Nothing",fontsize=16,color="black",shape="box"];359 -> 394[label="",style="solid", color="black", weight=3]; 360[label="Nothing == Just xy4000",fontsize=16,color="black",shape="box"];360 -> 395[label="",style="solid", color="black", weight=3]; 361[label="Just xy300 == Nothing",fontsize=16,color="black",shape="box"];361 -> 396[label="",style="solid", color="black", weight=3]; 362[label="Just xy300 == Just xy4000",fontsize=16,color="black",shape="box"];362 -> 397[label="",style="solid", color="black", weight=3]; 363[label="() == ()",fontsize=16,color="black",shape="box"];363 -> 398[label="",style="solid", color="black", weight=3]; 364[label="primEqInt (Pos xy300) xy400",fontsize=16,color="burlywood",shape="box"];1016[label="xy300/Succ xy3000",fontsize=10,color="white",style="solid",shape="box"];364 -> 1016[label="",style="solid", color="burlywood", weight=9]; 1016 -> 399[label="",style="solid", color="burlywood", weight=3]; 1017[label="xy300/Zero",fontsize=10,color="white",style="solid",shape="box"];364 -> 1017[label="",style="solid", color="burlywood", weight=9]; 1017 -> 400[label="",style="solid", color="burlywood", weight=3]; 365[label="primEqInt (Neg xy300) xy400",fontsize=16,color="burlywood",shape="box"];1018[label="xy300/Succ xy3000",fontsize=10,color="white",style="solid",shape="box"];365 -> 1018[label="",style="solid", color="burlywood", weight=9]; 1018 -> 401[label="",style="solid", color="burlywood", weight=3]; 1019[label="xy300/Zero",fontsize=10,color="white",style="solid",shape="box"];365 -> 1019[label="",style="solid", color="burlywood", weight=9]; 1019 -> 402[label="",style="solid", color="burlywood", weight=3]; 366[label="Left xy300 == Left xy4000",fontsize=16,color="black",shape="box"];366 -> 403[label="",style="solid", color="black", weight=3]; 367[label="Left xy300 == Right xy4000",fontsize=16,color="black",shape="box"];367 -> 404[label="",style="solid", color="black", weight=3]; 368[label="Right xy300 == Left xy4000",fontsize=16,color="black",shape="box"];368 -> 405[label="",style="solid", color="black", weight=3]; 369[label="Right xy300 == Right xy4000",fontsize=16,color="black",shape="box"];369 -> 406[label="",style="solid", color="black", weight=3]; 370[label="primEqChar (Char xy300) xy400",fontsize=16,color="burlywood",shape="box"];1020[label="xy400/Char xy4000",fontsize=10,color="white",style="solid",shape="box"];370 -> 1020[label="",style="solid", color="burlywood", weight=9]; 1020 -> 407[label="",style="solid", color="burlywood", weight=3]; 371[label="Integer xy300 == Integer xy4000",fontsize=16,color="black",shape="box"];371 -> 408[label="",style="solid", color="black", weight=3]; 372[label="primEqDouble (Double xy300 xy301) xy400",fontsize=16,color="burlywood",shape="box"];1021[label="xy400/Double xy4000 xy4001",fontsize=10,color="white",style="solid",shape="box"];372 -> 1021[label="",style="solid", color="burlywood", weight=9]; 1021 -> 409[label="",style="solid", color="burlywood", weight=3]; 373[label="LT == LT",fontsize=16,color="black",shape="box"];373 -> 410[label="",style="solid", color="black", weight=3]; 374[label="LT == EQ",fontsize=16,color="black",shape="box"];374 -> 411[label="",style="solid", color="black", weight=3]; 375[label="LT == GT",fontsize=16,color="black",shape="box"];375 -> 412[label="",style="solid", color="black", weight=3]; 376[label="EQ == LT",fontsize=16,color="black",shape="box"];376 -> 413[label="",style="solid", color="black", weight=3]; 377[label="EQ == EQ",fontsize=16,color="black",shape="box"];377 -> 414[label="",style="solid", color="black", weight=3]; 378[label="EQ == GT",fontsize=16,color="black",shape="box"];378 -> 415[label="",style="solid", color="black", weight=3]; 379[label="GT == LT",fontsize=16,color="black",shape="box"];379 -> 416[label="",style="solid", color="black", weight=3]; 380[label="GT == EQ",fontsize=16,color="black",shape="box"];380 -> 417[label="",style="solid", color="black", weight=3]; 381[label="GT == GT",fontsize=16,color="black",shape="box"];381 -> 418[label="",style="solid", color="black", weight=3]; 382[label="(xy300,xy301) == (xy4000,xy4001)",fontsize=16,color="black",shape="box"];382 -> 419[label="",style="solid", color="black", weight=3]; 383 -> 303[label="",style="dashed", color="red", weight=0]; 383[label="xy310 == xy4010 && xy311 == xy4011",fontsize=16,color="magenta"];383 -> 420[label="",style="dashed", color="magenta", weight=3]; 383 -> 421[label="",style="dashed", color="magenta", weight=3]; 384[label="False",fontsize=16,color="green",shape="box"];385[label="False",fontsize=16,color="green",shape="box"];386[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"];387[label="True",fontsize=16,color="green",shape="box"];388[label="False",fontsize=16,color="green",shape="box"];389[label="False",fontsize=16,color="green",shape="box"];390[label="True",fontsize=16,color="green",shape="box"];391 -> 303[label="",style="dashed", color="red", weight=0]; 391[label="xy300 == xy4000 && xy301 == xy4001",fontsize=16,color="magenta"];391 -> 422[label="",style="dashed", color="magenta", weight=3]; 391 -> 423[label="",style="dashed", color="magenta", weight=3]; 392[label="primEqFloat (Float xy300 xy301) (Float xy4000 xy4001)",fontsize=16,color="black",shape="box"];392 -> 424[label="",style="solid", color="black", weight=3]; 393 -> 303[label="",style="dashed", color="red", weight=0]; 393[label="xy300 == xy4000 && xy301 == xy4001 && xy302 == xy4002",fontsize=16,color="magenta"];393 -> 425[label="",style="dashed", color="magenta", weight=3]; 393 -> 426[label="",style="dashed", color="magenta", weight=3]; 394[label="True",fontsize=16,color="green",shape="box"];395[label="False",fontsize=16,color="green",shape="box"];396[label="False",fontsize=16,color="green",shape="box"];397[label="xy300 == xy4000",fontsize=16,color="blue",shape="box"];1022[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];397 -> 1022[label="",style="solid", color="blue", weight=9]; 1022 -> 427[label="",style="solid", color="blue", weight=3]; 1023[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];397 -> 1023[label="",style="solid", color="blue", weight=9]; 1023 -> 428[label="",style="solid", color="blue", weight=3]; 1024[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];397 -> 1024[label="",style="solid", color="blue", weight=9]; 1024 -> 429[label="",style="solid", color="blue", weight=3]; 1025[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];397 -> 1025[label="",style="solid", color="blue", weight=9]; 1025 -> 430[label="",style="solid", color="blue", weight=3]; 1026[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];397 -> 1026[label="",style="solid", color="blue", weight=9]; 1026 -> 431[label="",style="solid", color="blue", weight=3]; 1027[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];397 -> 1027[label="",style="solid", color="blue", weight=9]; 1027 -> 432[label="",style="solid", color="blue", weight=3]; 1028[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];397 -> 1028[label="",style="solid", color="blue", weight=9]; 1028 -> 433[label="",style="solid", color="blue", weight=3]; 1029[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];397 -> 1029[label="",style="solid", color="blue", weight=9]; 1029 -> 434[label="",style="solid", color="blue", weight=3]; 1030[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];397 -> 1030[label="",style="solid", color="blue", weight=9]; 1030 -> 435[label="",style="solid", color="blue", weight=3]; 1031[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];397 -> 1031[label="",style="solid", color="blue", weight=9]; 1031 -> 436[label="",style="solid", color="blue", weight=3]; 1032[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];397 -> 1032[label="",style="solid", color="blue", weight=9]; 1032 -> 437[label="",style="solid", color="blue", weight=3]; 1033[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];397 -> 1033[label="",style="solid", color="blue", weight=9]; 1033 -> 438[label="",style="solid", color="blue", weight=3]; 1034[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];397 -> 1034[label="",style="solid", color="blue", weight=9]; 1034 -> 439[label="",style="solid", color="blue", weight=3]; 1035[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];397 -> 1035[label="",style="solid", color="blue", weight=9]; 1035 -> 440[label="",style="solid", color="blue", weight=3]; 398[label="True",fontsize=16,color="green",shape="box"];399[label="primEqInt (Pos (Succ xy3000)) xy400",fontsize=16,color="burlywood",shape="box"];1036[label="xy400/Pos xy4000",fontsize=10,color="white",style="solid",shape="box"];399 -> 1036[label="",style="solid", color="burlywood", weight=9]; 1036 -> 441[label="",style="solid", color="burlywood", weight=3]; 1037[label="xy400/Neg xy4000",fontsize=10,color="white",style="solid",shape="box"];399 -> 1037[label="",style="solid", color="burlywood", weight=9]; 1037 -> 442[label="",style="solid", color="burlywood", weight=3]; 400[label="primEqInt (Pos Zero) xy400",fontsize=16,color="burlywood",shape="box"];1038[label="xy400/Pos xy4000",fontsize=10,color="white",style="solid",shape="box"];400 -> 1038[label="",style="solid", color="burlywood", weight=9]; 1038 -> 443[label="",style="solid", color="burlywood", weight=3]; 1039[label="xy400/Neg xy4000",fontsize=10,color="white",style="solid",shape="box"];400 -> 1039[label="",style="solid", color="burlywood", weight=9]; 1039 -> 444[label="",style="solid", color="burlywood", weight=3]; 401[label="primEqInt (Neg (Succ xy3000)) xy400",fontsize=16,color="burlywood",shape="box"];1040[label="xy400/Pos xy4000",fontsize=10,color="white",style="solid",shape="box"];401 -> 1040[label="",style="solid", color="burlywood", weight=9]; 1040 -> 445[label="",style="solid", color="burlywood", weight=3]; 1041[label="xy400/Neg xy4000",fontsize=10,color="white",style="solid",shape="box"];401 -> 1041[label="",style="solid", color="burlywood", weight=9]; 1041 -> 446[label="",style="solid", color="burlywood", weight=3]; 402[label="primEqInt (Neg Zero) xy400",fontsize=16,color="burlywood",shape="box"];1042[label="xy400/Pos xy4000",fontsize=10,color="white",style="solid",shape="box"];402 -> 1042[label="",style="solid", color="burlywood", weight=9]; 1042 -> 447[label="",style="solid", color="burlywood", weight=3]; 1043[label="xy400/Neg xy4000",fontsize=10,color="white",style="solid",shape="box"];402 -> 1043[label="",style="solid", color="burlywood", weight=9]; 1043 -> 448[label="",style="solid", color="burlywood", weight=3]; 403[label="xy300 == xy4000",fontsize=16,color="blue",shape="box"];1044[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];403 -> 1044[label="",style="solid", color="blue", weight=9]; 1044 -> 449[label="",style="solid", color="blue", weight=3]; 1045[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];403 -> 1045[label="",style="solid", color="blue", weight=9]; 1045 -> 450[label="",style="solid", color="blue", weight=3]; 1046[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];403 -> 1046[label="",style="solid", color="blue", weight=9]; 1046 -> 451[label="",style="solid", color="blue", weight=3]; 1047[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];403 -> 1047[label="",style="solid", color="blue", weight=9]; 1047 -> 452[label="",style="solid", color="blue", weight=3]; 1048[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];403 -> 1048[label="",style="solid", color="blue", weight=9]; 1048 -> 453[label="",style="solid", color="blue", weight=3]; 1049[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];403 -> 1049[label="",style="solid", color="blue", weight=9]; 1049 -> 454[label="",style="solid", color="blue", weight=3]; 1050[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];403 -> 1050[label="",style="solid", color="blue", weight=9]; 1050 -> 455[label="",style="solid", color="blue", weight=3]; 1051[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];403 -> 1051[label="",style="solid", color="blue", weight=9]; 1051 -> 456[label="",style="solid", color="blue", weight=3]; 1052[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];403 -> 1052[label="",style="solid", color="blue", weight=9]; 1052 -> 457[label="",style="solid", color="blue", weight=3]; 1053[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];403 -> 1053[label="",style="solid", color="blue", weight=9]; 1053 -> 458[label="",style="solid", color="blue", weight=3]; 1054[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];403 -> 1054[label="",style="solid", color="blue", weight=9]; 1054 -> 459[label="",style="solid", color="blue", weight=3]; 1055[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];403 -> 1055[label="",style="solid", color="blue", weight=9]; 1055 -> 460[label="",style="solid", color="blue", weight=3]; 1056[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];403 -> 1056[label="",style="solid", color="blue", weight=9]; 1056 -> 461[label="",style="solid", color="blue", weight=3]; 1057[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];403 -> 1057[label="",style="solid", color="blue", weight=9]; 1057 -> 462[label="",style="solid", color="blue", weight=3]; 404[label="False",fontsize=16,color="green",shape="box"];405[label="False",fontsize=16,color="green",shape="box"];406[label="xy300 == xy4000",fontsize=16,color="blue",shape="box"];1058[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];406 -> 1058[label="",style="solid", color="blue", weight=9]; 1058 -> 463[label="",style="solid", color="blue", weight=3]; 1059[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];406 -> 1059[label="",style="solid", color="blue", weight=9]; 1059 -> 464[label="",style="solid", color="blue", weight=3]; 1060[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];406 -> 1060[label="",style="solid", color="blue", weight=9]; 1060 -> 465[label="",style="solid", color="blue", weight=3]; 1061[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];406 -> 1061[label="",style="solid", color="blue", weight=9]; 1061 -> 466[label="",style="solid", color="blue", weight=3]; 1062[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];406 -> 1062[label="",style="solid", color="blue", weight=9]; 1062 -> 467[label="",style="solid", color="blue", weight=3]; 1063[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];406 -> 1063[label="",style="solid", color="blue", weight=9]; 1063 -> 468[label="",style="solid", color="blue", weight=3]; 1064[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];406 -> 1064[label="",style="solid", color="blue", weight=9]; 1064 -> 469[label="",style="solid", color="blue", weight=3]; 1065[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];406 -> 1065[label="",style="solid", color="blue", weight=9]; 1065 -> 470[label="",style="solid", color="blue", weight=3]; 1066[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];406 -> 1066[label="",style="solid", color="blue", weight=9]; 1066 -> 471[label="",style="solid", color="blue", weight=3]; 1067[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];406 -> 1067[label="",style="solid", color="blue", weight=9]; 1067 -> 472[label="",style="solid", color="blue", weight=3]; 1068[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];406 -> 1068[label="",style="solid", color="blue", weight=9]; 1068 -> 473[label="",style="solid", color="blue", weight=3]; 1069[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];406 -> 1069[label="",style="solid", color="blue", weight=9]; 1069 -> 474[label="",style="solid", color="blue", weight=3]; 1070[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];406 -> 1070[label="",style="solid", color="blue", weight=9]; 1070 -> 475[label="",style="solid", color="blue", weight=3]; 1071[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];406 -> 1071[label="",style="solid", color="blue", weight=9]; 1071 -> 476[label="",style="solid", color="blue", weight=3]; 407[label="primEqChar (Char xy300) (Char xy4000)",fontsize=16,color="black",shape="box"];407 -> 477[label="",style="solid", color="black", weight=3]; 408 -> 334[label="",style="dashed", color="red", weight=0]; 408[label="primEqInt xy300 xy4000",fontsize=16,color="magenta"];408 -> 478[label="",style="dashed", color="magenta", weight=3]; 408 -> 479[label="",style="dashed", color="magenta", weight=3]; 409[label="primEqDouble (Double xy300 xy301) (Double xy4000 xy4001)",fontsize=16,color="black",shape="box"];409 -> 480[label="",style="solid", color="black", weight=3]; 410[label="True",fontsize=16,color="green",shape="box"];411[label="False",fontsize=16,color="green",shape="box"];412[label="False",fontsize=16,color="green",shape="box"];413[label="False",fontsize=16,color="green",shape="box"];414[label="True",fontsize=16,color="green",shape="box"];415[label="False",fontsize=16,color="green",shape="box"];416[label="False",fontsize=16,color="green",shape="box"];417[label="False",fontsize=16,color="green",shape="box"];418[label="True",fontsize=16,color="green",shape="box"];419 -> 303[label="",style="dashed", color="red", weight=0]; 419[label="xy300 == xy4000 && xy301 == xy4001",fontsize=16,color="magenta"];419 -> 481[label="",style="dashed", color="magenta", weight=3]; 419 -> 482[label="",style="dashed", color="magenta", weight=3]; 420[label="xy310 == xy4010",fontsize=16,color="blue",shape="box"];1072[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];420 -> 1072[label="",style="solid", color="blue", weight=9]; 1072 -> 483[label="",style="solid", color="blue", weight=3]; 1073[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];420 -> 1073[label="",style="solid", color="blue", weight=9]; 1073 -> 484[label="",style="solid", color="blue", weight=3]; 1074[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];420 -> 1074[label="",style="solid", color="blue", weight=9]; 1074 -> 485[label="",style="solid", color="blue", weight=3]; 1075[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];420 -> 1075[label="",style="solid", color="blue", weight=9]; 1075 -> 486[label="",style="solid", color="blue", weight=3]; 1076[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];420 -> 1076[label="",style="solid", color="blue", weight=9]; 1076 -> 487[label="",style="solid", color="blue", weight=3]; 1077[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];420 -> 1077[label="",style="solid", color="blue", weight=9]; 1077 -> 488[label="",style="solid", color="blue", weight=3]; 1078[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];420 -> 1078[label="",style="solid", color="blue", weight=9]; 1078 -> 489[label="",style="solid", color="blue", weight=3]; 1079[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];420 -> 1079[label="",style="solid", color="blue", weight=9]; 1079 -> 490[label="",style="solid", color="blue", weight=3]; 1080[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];420 -> 1080[label="",style="solid", color="blue", weight=9]; 1080 -> 491[label="",style="solid", color="blue", weight=3]; 1081[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];420 -> 1081[label="",style="solid", color="blue", weight=9]; 1081 -> 492[label="",style="solid", color="blue", weight=3]; 1082[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];420 -> 1082[label="",style="solid", color="blue", weight=9]; 1082 -> 493[label="",style="solid", color="blue", weight=3]; 1083[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];420 -> 1083[label="",style="solid", color="blue", weight=9]; 1083 -> 494[label="",style="solid", color="blue", weight=3]; 1084[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];420 -> 1084[label="",style="solid", color="blue", weight=9]; 1084 -> 495[label="",style="solid", color="blue", weight=3]; 1085[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];420 -> 1085[label="",style="solid", color="blue", weight=9]; 1085 -> 496[label="",style="solid", color="blue", weight=3]; 421 -> 305[label="",style="dashed", color="red", weight=0]; 421[label="xy311 == xy4011",fontsize=16,color="magenta"];421 -> 497[label="",style="dashed", color="magenta", weight=3]; 421 -> 498[label="",style="dashed", color="magenta", weight=3]; 422[label="xy300 == xy4000",fontsize=16,color="blue",shape="box"];1086[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];422 -> 1086[label="",style="solid", color="blue", weight=9]; 1086 -> 499[label="",style="solid", color="blue", weight=3]; 1087[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];422 -> 1087[label="",style="solid", color="blue", weight=9]; 1087 -> 500[label="",style="solid", color="blue", weight=3]; 423[label="xy301 == xy4001",fontsize=16,color="blue",shape="box"];1088[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];423 -> 1088[label="",style="solid", color="blue", weight=9]; 1088 -> 501[label="",style="solid", color="blue", weight=3]; 1089[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];423 -> 1089[label="",style="solid", color="blue", weight=9]; 1089 -> 502[label="",style="solid", color="blue", weight=3]; 424 -> 314[label="",style="dashed", color="red", weight=0]; 424[label="xy300 * xy4001 == xy301 * xy4000",fontsize=16,color="magenta"];424 -> 503[label="",style="dashed", color="magenta", weight=3]; 424 -> 504[label="",style="dashed", color="magenta", weight=3]; 425[label="xy300 == xy4000",fontsize=16,color="blue",shape="box"];1090[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];425 -> 1090[label="",style="solid", color="blue", weight=9]; 1090 -> 505[label="",style="solid", color="blue", weight=3]; 1091[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];425 -> 1091[label="",style="solid", color="blue", weight=9]; 1091 -> 506[label="",style="solid", color="blue", weight=3]; 1092[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];425 -> 1092[label="",style="solid", color="blue", weight=9]; 1092 -> 507[label="",style="solid", color="blue", weight=3]; 1093[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];425 -> 1093[label="",style="solid", color="blue", weight=9]; 1093 -> 508[label="",style="solid", color="blue", weight=3]; 1094[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];425 -> 1094[label="",style="solid", color="blue", weight=9]; 1094 -> 509[label="",style="solid", color="blue", weight=3]; 1095[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];425 -> 1095[label="",style="solid", color="blue", weight=9]; 1095 -> 510[label="",style="solid", color="blue", weight=3]; 1096[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];425 -> 1096[label="",style="solid", color="blue", weight=9]; 1096 -> 511[label="",style="solid", color="blue", weight=3]; 1097[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];425 -> 1097[label="",style="solid", color="blue", weight=9]; 1097 -> 512[label="",style="solid", color="blue", weight=3]; 1098[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];425 -> 1098[label="",style="solid", color="blue", weight=9]; 1098 -> 513[label="",style="solid", color="blue", weight=3]; 1099[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];425 -> 1099[label="",style="solid", color="blue", weight=9]; 1099 -> 514[label="",style="solid", color="blue", weight=3]; 1100[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];425 -> 1100[label="",style="solid", color="blue", weight=9]; 1100 -> 515[label="",style="solid", color="blue", weight=3]; 1101[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];425 -> 1101[label="",style="solid", color="blue", weight=9]; 1101 -> 516[label="",style="solid", color="blue", weight=3]; 1102[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];425 -> 1102[label="",style="solid", color="blue", weight=9]; 1102 -> 517[label="",style="solid", color="blue", weight=3]; 1103[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];425 -> 1103[label="",style="solid", color="blue", weight=9]; 1103 -> 518[label="",style="solid", color="blue", weight=3]; 426 -> 303[label="",style="dashed", color="red", weight=0]; 426[label="xy301 == xy4001 && xy302 == xy4002",fontsize=16,color="magenta"];426 -> 519[label="",style="dashed", color="magenta", weight=3]; 426 -> 520[label="",style="dashed", color="magenta", weight=3]; 427 -> 308[label="",style="dashed", color="red", weight=0]; 427[label="xy300 == xy4000",fontsize=16,color="magenta"];427 -> 521[label="",style="dashed", color="magenta", weight=3]; 427 -> 522[label="",style="dashed", color="magenta", weight=3]; 428 -> 309[label="",style="dashed", color="red", weight=0]; 428[label="xy300 == xy4000",fontsize=16,color="magenta"];428 -> 523[label="",style="dashed", color="magenta", weight=3]; 428 -> 524[label="",style="dashed", color="magenta", weight=3]; 429 -> 310[label="",style="dashed", color="red", weight=0]; 429[label="xy300 == xy4000",fontsize=16,color="magenta"];429 -> 525[label="",style="dashed", color="magenta", weight=3]; 429 -> 526[label="",style="dashed", color="magenta", weight=3]; 430 -> 311[label="",style="dashed", color="red", weight=0]; 430[label="xy300 == xy4000",fontsize=16,color="magenta"];430 -> 527[label="",style="dashed", color="magenta", weight=3]; 430 -> 528[label="",style="dashed", color="magenta", weight=3]; 431 -> 312[label="",style="dashed", color="red", weight=0]; 431[label="xy300 == xy4000",fontsize=16,color="magenta"];431 -> 529[label="",style="dashed", color="magenta", weight=3]; 431 -> 530[label="",style="dashed", color="magenta", weight=3]; 432 -> 313[label="",style="dashed", color="red", weight=0]; 432[label="xy300 == xy4000",fontsize=16,color="magenta"];432 -> 531[label="",style="dashed", color="magenta", weight=3]; 432 -> 532[label="",style="dashed", color="magenta", weight=3]; 433 -> 314[label="",style="dashed", color="red", weight=0]; 433[label="xy300 == xy4000",fontsize=16,color="magenta"];433 -> 533[label="",style="dashed", color="magenta", weight=3]; 433 -> 534[label="",style="dashed", color="magenta", weight=3]; 434 -> 315[label="",style="dashed", color="red", weight=0]; 434[label="xy300 == xy4000",fontsize=16,color="magenta"];434 -> 535[label="",style="dashed", color="magenta", weight=3]; 434 -> 536[label="",style="dashed", color="magenta", weight=3]; 435 -> 316[label="",style="dashed", color="red", weight=0]; 435[label="xy300 == xy4000",fontsize=16,color="magenta"];435 -> 537[label="",style="dashed", color="magenta", weight=3]; 435 -> 538[label="",style="dashed", color="magenta", weight=3]; 436 -> 305[label="",style="dashed", color="red", weight=0]; 436[label="xy300 == xy4000",fontsize=16,color="magenta"];436 -> 539[label="",style="dashed", color="magenta", weight=3]; 436 -> 540[label="",style="dashed", color="magenta", weight=3]; 437 -> 318[label="",style="dashed", color="red", weight=0]; 437[label="xy300 == xy4000",fontsize=16,color="magenta"];437 -> 541[label="",style="dashed", color="magenta", weight=3]; 437 -> 542[label="",style="dashed", color="magenta", weight=3]; 438 -> 319[label="",style="dashed", color="red", weight=0]; 438[label="xy300 == xy4000",fontsize=16,color="magenta"];438 -> 543[label="",style="dashed", color="magenta", weight=3]; 438 -> 544[label="",style="dashed", color="magenta", weight=3]; 439 -> 320[label="",style="dashed", color="red", weight=0]; 439[label="xy300 == xy4000",fontsize=16,color="magenta"];439 -> 545[label="",style="dashed", color="magenta", weight=3]; 439 -> 546[label="",style="dashed", color="magenta", weight=3]; 440 -> 321[label="",style="dashed", color="red", weight=0]; 440[label="xy300 == xy4000",fontsize=16,color="magenta"];440 -> 547[label="",style="dashed", color="magenta", weight=3]; 440 -> 548[label="",style="dashed", color="magenta", weight=3]; 441[label="primEqInt (Pos (Succ xy3000)) (Pos xy4000)",fontsize=16,color="burlywood",shape="box"];1104[label="xy4000/Succ xy40000",fontsize=10,color="white",style="solid",shape="box"];441 -> 1104[label="",style="solid", color="burlywood", weight=9]; 1104 -> 549[label="",style="solid", color="burlywood", weight=3]; 1105[label="xy4000/Zero",fontsize=10,color="white",style="solid",shape="box"];441 -> 1105[label="",style="solid", color="burlywood", weight=9]; 1105 -> 550[label="",style="solid", color="burlywood", weight=3]; 442[label="primEqInt (Pos (Succ xy3000)) (Neg xy4000)",fontsize=16,color="black",shape="box"];442 -> 551[label="",style="solid", color="black", weight=3]; 443[label="primEqInt (Pos Zero) (Pos xy4000)",fontsize=16,color="burlywood",shape="box"];1106[label="xy4000/Succ xy40000",fontsize=10,color="white",style="solid",shape="box"];443 -> 1106[label="",style="solid", color="burlywood", weight=9]; 1106 -> 552[label="",style="solid", color="burlywood", weight=3]; 1107[label="xy4000/Zero",fontsize=10,color="white",style="solid",shape="box"];443 -> 1107[label="",style="solid", color="burlywood", weight=9]; 1107 -> 553[label="",style="solid", color="burlywood", weight=3]; 444[label="primEqInt (Pos Zero) (Neg xy4000)",fontsize=16,color="burlywood",shape="box"];1108[label="xy4000/Succ xy40000",fontsize=10,color="white",style="solid",shape="box"];444 -> 1108[label="",style="solid", color="burlywood", weight=9]; 1108 -> 554[label="",style="solid", color="burlywood", weight=3]; 1109[label="xy4000/Zero",fontsize=10,color="white",style="solid",shape="box"];444 -> 1109[label="",style="solid", color="burlywood", weight=9]; 1109 -> 555[label="",style="solid", color="burlywood", weight=3]; 445[label="primEqInt (Neg (Succ xy3000)) (Pos xy4000)",fontsize=16,color="black",shape="box"];445 -> 556[label="",style="solid", color="black", weight=3]; 446[label="primEqInt (Neg (Succ xy3000)) (Neg xy4000)",fontsize=16,color="burlywood",shape="box"];1110[label="xy4000/Succ xy40000",fontsize=10,color="white",style="solid",shape="box"];446 -> 1110[label="",style="solid", color="burlywood", weight=9]; 1110 -> 557[label="",style="solid", color="burlywood", weight=3]; 1111[label="xy4000/Zero",fontsize=10,color="white",style="solid",shape="box"];446 -> 1111[label="",style="solid", color="burlywood", weight=9]; 1111 -> 558[label="",style="solid", color="burlywood", weight=3]; 447[label="primEqInt (Neg Zero) (Pos xy4000)",fontsize=16,color="burlywood",shape="box"];1112[label="xy4000/Succ xy40000",fontsize=10,color="white",style="solid",shape="box"];447 -> 1112[label="",style="solid", color="burlywood", weight=9]; 1112 -> 559[label="",style="solid", color="burlywood", weight=3]; 1113[label="xy4000/Zero",fontsize=10,color="white",style="solid",shape="box"];447 -> 1113[label="",style="solid", color="burlywood", weight=9]; 1113 -> 560[label="",style="solid", color="burlywood", weight=3]; 448[label="primEqInt (Neg Zero) (Neg xy4000)",fontsize=16,color="burlywood",shape="box"];1114[label="xy4000/Succ xy40000",fontsize=10,color="white",style="solid",shape="box"];448 -> 1114[label="",style="solid", color="burlywood", weight=9]; 1114 -> 561[label="",style="solid", color="burlywood", weight=3]; 1115[label="xy4000/Zero",fontsize=10,color="white",style="solid",shape="box"];448 -> 1115[label="",style="solid", color="burlywood", weight=9]; 1115 -> 562[label="",style="solid", color="burlywood", weight=3]; 449 -> 308[label="",style="dashed", color="red", weight=0]; 449[label="xy300 == xy4000",fontsize=16,color="magenta"];449 -> 563[label="",style="dashed", color="magenta", weight=3]; 449 -> 564[label="",style="dashed", color="magenta", weight=3]; 450 -> 309[label="",style="dashed", color="red", weight=0]; 450[label="xy300 == xy4000",fontsize=16,color="magenta"];450 -> 565[label="",style="dashed", color="magenta", weight=3]; 450 -> 566[label="",style="dashed", color="magenta", weight=3]; 451 -> 310[label="",style="dashed", color="red", weight=0]; 451[label="xy300 == xy4000",fontsize=16,color="magenta"];451 -> 567[label="",style="dashed", color="magenta", weight=3]; 451 -> 568[label="",style="dashed", color="magenta", weight=3]; 452 -> 311[label="",style="dashed", color="red", weight=0]; 452[label="xy300 == xy4000",fontsize=16,color="magenta"];452 -> 569[label="",style="dashed", color="magenta", weight=3]; 452 -> 570[label="",style="dashed", color="magenta", weight=3]; 453 -> 312[label="",style="dashed", color="red", weight=0]; 453[label="xy300 == xy4000",fontsize=16,color="magenta"];453 -> 571[label="",style="dashed", color="magenta", weight=3]; 453 -> 572[label="",style="dashed", color="magenta", weight=3]; 454 -> 313[label="",style="dashed", color="red", weight=0]; 454[label="xy300 == xy4000",fontsize=16,color="magenta"];454 -> 573[label="",style="dashed", color="magenta", weight=3]; 454 -> 574[label="",style="dashed", color="magenta", weight=3]; 455 -> 314[label="",style="dashed", color="red", weight=0]; 455[label="xy300 == xy4000",fontsize=16,color="magenta"];455 -> 575[label="",style="dashed", color="magenta", weight=3]; 455 -> 576[label="",style="dashed", color="magenta", weight=3]; 456 -> 315[label="",style="dashed", color="red", weight=0]; 456[label="xy300 == xy4000",fontsize=16,color="magenta"];456 -> 577[label="",style="dashed", color="magenta", weight=3]; 456 -> 578[label="",style="dashed", color="magenta", weight=3]; 457 -> 316[label="",style="dashed", color="red", weight=0]; 457[label="xy300 == xy4000",fontsize=16,color="magenta"];457 -> 579[label="",style="dashed", color="magenta", weight=3]; 457 -> 580[label="",style="dashed", color="magenta", weight=3]; 458 -> 305[label="",style="dashed", color="red", weight=0]; 458[label="xy300 == xy4000",fontsize=16,color="magenta"];458 -> 581[label="",style="dashed", color="magenta", weight=3]; 458 -> 582[label="",style="dashed", color="magenta", weight=3]; 459 -> 318[label="",style="dashed", color="red", weight=0]; 459[label="xy300 == xy4000",fontsize=16,color="magenta"];459 -> 583[label="",style="dashed", color="magenta", weight=3]; 459 -> 584[label="",style="dashed", color="magenta", weight=3]; 460 -> 319[label="",style="dashed", color="red", weight=0]; 460[label="xy300 == xy4000",fontsize=16,color="magenta"];460 -> 585[label="",style="dashed", color="magenta", weight=3]; 460 -> 586[label="",style="dashed", color="magenta", weight=3]; 461 -> 320[label="",style="dashed", color="red", weight=0]; 461[label="xy300 == xy4000",fontsize=16,color="magenta"];461 -> 587[label="",style="dashed", color="magenta", weight=3]; 461 -> 588[label="",style="dashed", color="magenta", weight=3]; 462 -> 321[label="",style="dashed", color="red", weight=0]; 462[label="xy300 == xy4000",fontsize=16,color="magenta"];462 -> 589[label="",style="dashed", color="magenta", weight=3]; 462 -> 590[label="",style="dashed", color="magenta", weight=3]; 463 -> 308[label="",style="dashed", color="red", weight=0]; 463[label="xy300 == xy4000",fontsize=16,color="magenta"];463 -> 591[label="",style="dashed", color="magenta", weight=3]; 463 -> 592[label="",style="dashed", color="magenta", weight=3]; 464 -> 309[label="",style="dashed", color="red", weight=0]; 464[label="xy300 == xy4000",fontsize=16,color="magenta"];464 -> 593[label="",style="dashed", color="magenta", weight=3]; 464 -> 594[label="",style="dashed", color="magenta", weight=3]; 465 -> 310[label="",style="dashed", color="red", weight=0]; 465[label="xy300 == xy4000",fontsize=16,color="magenta"];465 -> 595[label="",style="dashed", color="magenta", weight=3]; 465 -> 596[label="",style="dashed", color="magenta", weight=3]; 466 -> 311[label="",style="dashed", color="red", weight=0]; 466[label="xy300 == xy4000",fontsize=16,color="magenta"];466 -> 597[label="",style="dashed", color="magenta", weight=3]; 466 -> 598[label="",style="dashed", color="magenta", weight=3]; 467 -> 312[label="",style="dashed", color="red", weight=0]; 467[label="xy300 == xy4000",fontsize=16,color="magenta"];467 -> 599[label="",style="dashed", color="magenta", weight=3]; 467 -> 600[label="",style="dashed", color="magenta", weight=3]; 468 -> 313[label="",style="dashed", color="red", weight=0]; 468[label="xy300 == xy4000",fontsize=16,color="magenta"];468 -> 601[label="",style="dashed", color="magenta", weight=3]; 468 -> 602[label="",style="dashed", color="magenta", weight=3]; 469 -> 314[label="",style="dashed", color="red", weight=0]; 469[label="xy300 == xy4000",fontsize=16,color="magenta"];469 -> 603[label="",style="dashed", color="magenta", weight=3]; 469 -> 604[label="",style="dashed", color="magenta", weight=3]; 470 -> 315[label="",style="dashed", color="red", weight=0]; 470[label="xy300 == xy4000",fontsize=16,color="magenta"];470 -> 605[label="",style="dashed", color="magenta", weight=3]; 470 -> 606[label="",style="dashed", color="magenta", weight=3]; 471 -> 316[label="",style="dashed", color="red", weight=0]; 471[label="xy300 == xy4000",fontsize=16,color="magenta"];471 -> 607[label="",style="dashed", color="magenta", weight=3]; 471 -> 608[label="",style="dashed", color="magenta", weight=3]; 472 -> 305[label="",style="dashed", color="red", weight=0]; 472[label="xy300 == xy4000",fontsize=16,color="magenta"];472 -> 609[label="",style="dashed", color="magenta", weight=3]; 472 -> 610[label="",style="dashed", color="magenta", weight=3]; 473 -> 318[label="",style="dashed", color="red", weight=0]; 473[label="xy300 == xy4000",fontsize=16,color="magenta"];473 -> 611[label="",style="dashed", color="magenta", weight=3]; 473 -> 612[label="",style="dashed", color="magenta", weight=3]; 474 -> 319[label="",style="dashed", color="red", weight=0]; 474[label="xy300 == xy4000",fontsize=16,color="magenta"];474 -> 613[label="",style="dashed", color="magenta", weight=3]; 474 -> 614[label="",style="dashed", color="magenta", weight=3]; 475 -> 320[label="",style="dashed", color="red", weight=0]; 475[label="xy300 == xy4000",fontsize=16,color="magenta"];475 -> 615[label="",style="dashed", color="magenta", weight=3]; 475 -> 616[label="",style="dashed", color="magenta", weight=3]; 476 -> 321[label="",style="dashed", color="red", weight=0]; 476[label="xy300 == xy4000",fontsize=16,color="magenta"];476 -> 617[label="",style="dashed", color="magenta", weight=3]; 476 -> 618[label="",style="dashed", color="magenta", weight=3]; 477[label="primEqNat xy300 xy4000",fontsize=16,color="burlywood",shape="triangle"];1116[label="xy300/Succ xy3000",fontsize=10,color="white",style="solid",shape="box"];477 -> 1116[label="",style="solid", color="burlywood", weight=9]; 1116 -> 619[label="",style="solid", color="burlywood", weight=3]; 1117[label="xy300/Zero",fontsize=10,color="white",style="solid",shape="box"];477 -> 1117[label="",style="solid", color="burlywood", weight=9]; 1117 -> 620[label="",style="solid", color="burlywood", weight=3]; 478[label="xy300",fontsize=16,color="green",shape="box"];479[label="xy4000",fontsize=16,color="green",shape="box"];480 -> 314[label="",style="dashed", color="red", weight=0]; 480[label="xy300 * xy4001 == xy301 * xy4000",fontsize=16,color="magenta"];480 -> 621[label="",style="dashed", color="magenta", weight=3]; 480 -> 622[label="",style="dashed", color="magenta", weight=3]; 481[label="xy300 == xy4000",fontsize=16,color="blue",shape="box"];1118[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];481 -> 1118[label="",style="solid", color="blue", weight=9]; 1118 -> 623[label="",style="solid", color="blue", weight=3]; 1119[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];481 -> 1119[label="",style="solid", color="blue", weight=9]; 1119 -> 624[label="",style="solid", color="blue", weight=3]; 1120[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];481 -> 1120[label="",style="solid", color="blue", weight=9]; 1120 -> 625[label="",style="solid", color="blue", weight=3]; 1121[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];481 -> 1121[label="",style="solid", color="blue", weight=9]; 1121 -> 626[label="",style="solid", color="blue", weight=3]; 1122[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];481 -> 1122[label="",style="solid", color="blue", weight=9]; 1122 -> 627[label="",style="solid", color="blue", weight=3]; 1123[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];481 -> 1123[label="",style="solid", color="blue", weight=9]; 1123 -> 628[label="",style="solid", color="blue", weight=3]; 1124[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];481 -> 1124[label="",style="solid", color="blue", weight=9]; 1124 -> 629[label="",style="solid", color="blue", weight=3]; 1125[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];481 -> 1125[label="",style="solid", color="blue", weight=9]; 1125 -> 630[label="",style="solid", color="blue", weight=3]; 1126[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];481 -> 1126[label="",style="solid", color="blue", weight=9]; 1126 -> 631[label="",style="solid", color="blue", weight=3]; 1127[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];481 -> 1127[label="",style="solid", color="blue", weight=9]; 1127 -> 632[label="",style="solid", color="blue", weight=3]; 1128[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];481 -> 1128[label="",style="solid", color="blue", weight=9]; 1128 -> 633[label="",style="solid", color="blue", weight=3]; 1129[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];481 -> 1129[label="",style="solid", color="blue", weight=9]; 1129 -> 634[label="",style="solid", color="blue", weight=3]; 1130[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];481 -> 1130[label="",style="solid", color="blue", weight=9]; 1130 -> 635[label="",style="solid", color="blue", weight=3]; 1131[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];481 -> 1131[label="",style="solid", color="blue", weight=9]; 1131 -> 636[label="",style="solid", color="blue", weight=3]; 482[label="xy301 == xy4001",fontsize=16,color="blue",shape="box"];1132[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];482 -> 1132[label="",style="solid", color="blue", weight=9]; 1132 -> 637[label="",style="solid", color="blue", weight=3]; 1133[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];482 -> 1133[label="",style="solid", color="blue", weight=9]; 1133 -> 638[label="",style="solid", color="blue", weight=3]; 1134[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];482 -> 1134[label="",style="solid", color="blue", weight=9]; 1134 -> 639[label="",style="solid", color="blue", weight=3]; 1135[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];482 -> 1135[label="",style="solid", color="blue", weight=9]; 1135 -> 640[label="",style="solid", color="blue", weight=3]; 1136[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];482 -> 1136[label="",style="solid", color="blue", weight=9]; 1136 -> 641[label="",style="solid", color="blue", weight=3]; 1137[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];482 -> 1137[label="",style="solid", color="blue", weight=9]; 1137 -> 642[label="",style="solid", color="blue", weight=3]; 1138[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];482 -> 1138[label="",style="solid", color="blue", weight=9]; 1138 -> 643[label="",style="solid", color="blue", weight=3]; 1139[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];482 -> 1139[label="",style="solid", color="blue", weight=9]; 1139 -> 644[label="",style="solid", color="blue", weight=3]; 1140[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];482 -> 1140[label="",style="solid", color="blue", weight=9]; 1140 -> 645[label="",style="solid", color="blue", weight=3]; 1141[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];482 -> 1141[label="",style="solid", color="blue", weight=9]; 1141 -> 646[label="",style="solid", color="blue", weight=3]; 1142[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];482 -> 1142[label="",style="solid", color="blue", weight=9]; 1142 -> 647[label="",style="solid", color="blue", weight=3]; 1143[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];482 -> 1143[label="",style="solid", color="blue", weight=9]; 1143 -> 648[label="",style="solid", color="blue", weight=3]; 1144[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];482 -> 1144[label="",style="solid", color="blue", weight=9]; 1144 -> 649[label="",style="solid", color="blue", weight=3]; 1145[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];482 -> 1145[label="",style="solid", color="blue", weight=9]; 1145 -> 650[label="",style="solid", color="blue", weight=3]; 483 -> 308[label="",style="dashed", color="red", weight=0]; 483[label="xy310 == xy4010",fontsize=16,color="magenta"];483 -> 651[label="",style="dashed", color="magenta", weight=3]; 483 -> 652[label="",style="dashed", color="magenta", weight=3]; 484 -> 309[label="",style="dashed", color="red", weight=0]; 484[label="xy310 == xy4010",fontsize=16,color="magenta"];484 -> 653[label="",style="dashed", color="magenta", weight=3]; 484 -> 654[label="",style="dashed", color="magenta", weight=3]; 485 -> 310[label="",style="dashed", color="red", weight=0]; 485[label="xy310 == xy4010",fontsize=16,color="magenta"];485 -> 655[label="",style="dashed", color="magenta", weight=3]; 485 -> 656[label="",style="dashed", color="magenta", weight=3]; 486 -> 311[label="",style="dashed", color="red", weight=0]; 486[label="xy310 == xy4010",fontsize=16,color="magenta"];486 -> 657[label="",style="dashed", color="magenta", weight=3]; 486 -> 658[label="",style="dashed", color="magenta", weight=3]; 487 -> 312[label="",style="dashed", color="red", weight=0]; 487[label="xy310 == xy4010",fontsize=16,color="magenta"];487 -> 659[label="",style="dashed", color="magenta", weight=3]; 487 -> 660[label="",style="dashed", color="magenta", weight=3]; 488 -> 313[label="",style="dashed", color="red", weight=0]; 488[label="xy310 == xy4010",fontsize=16,color="magenta"];488 -> 661[label="",style="dashed", color="magenta", weight=3]; 488 -> 662[label="",style="dashed", color="magenta", weight=3]; 489 -> 314[label="",style="dashed", color="red", weight=0]; 489[label="xy310 == xy4010",fontsize=16,color="magenta"];489 -> 663[label="",style="dashed", color="magenta", weight=3]; 489 -> 664[label="",style="dashed", color="magenta", weight=3]; 490 -> 315[label="",style="dashed", color="red", weight=0]; 490[label="xy310 == xy4010",fontsize=16,color="magenta"];490 -> 665[label="",style="dashed", color="magenta", weight=3]; 490 -> 666[label="",style="dashed", color="magenta", weight=3]; 491 -> 316[label="",style="dashed", color="red", weight=0]; 491[label="xy310 == xy4010",fontsize=16,color="magenta"];491 -> 667[label="",style="dashed", color="magenta", weight=3]; 491 -> 668[label="",style="dashed", color="magenta", weight=3]; 492 -> 305[label="",style="dashed", color="red", weight=0]; 492[label="xy310 == xy4010",fontsize=16,color="magenta"];492 -> 669[label="",style="dashed", color="magenta", weight=3]; 492 -> 670[label="",style="dashed", color="magenta", weight=3]; 493 -> 318[label="",style="dashed", color="red", weight=0]; 493[label="xy310 == xy4010",fontsize=16,color="magenta"];493 -> 671[label="",style="dashed", color="magenta", weight=3]; 493 -> 672[label="",style="dashed", color="magenta", weight=3]; 494 -> 319[label="",style="dashed", color="red", weight=0]; 494[label="xy310 == xy4010",fontsize=16,color="magenta"];494 -> 673[label="",style="dashed", color="magenta", weight=3]; 494 -> 674[label="",style="dashed", color="magenta", weight=3]; 495 -> 320[label="",style="dashed", color="red", weight=0]; 495[label="xy310 == xy4010",fontsize=16,color="magenta"];495 -> 675[label="",style="dashed", color="magenta", weight=3]; 495 -> 676[label="",style="dashed", color="magenta", weight=3]; 496 -> 321[label="",style="dashed", color="red", weight=0]; 496[label="xy310 == xy4010",fontsize=16,color="magenta"];496 -> 677[label="",style="dashed", color="magenta", weight=3]; 496 -> 678[label="",style="dashed", color="magenta", weight=3]; 497[label="xy311",fontsize=16,color="green",shape="box"];498[label="xy4011",fontsize=16,color="green",shape="box"];499 -> 314[label="",style="dashed", color="red", weight=0]; 499[label="xy300 == xy4000",fontsize=16,color="magenta"];499 -> 679[label="",style="dashed", color="magenta", weight=3]; 499 -> 680[label="",style="dashed", color="magenta", weight=3]; 500 -> 318[label="",style="dashed", color="red", weight=0]; 500[label="xy300 == xy4000",fontsize=16,color="magenta"];500 -> 681[label="",style="dashed", color="magenta", weight=3]; 500 -> 682[label="",style="dashed", color="magenta", weight=3]; 501 -> 314[label="",style="dashed", color="red", weight=0]; 501[label="xy301 == xy4001",fontsize=16,color="magenta"];501 -> 683[label="",style="dashed", color="magenta", weight=3]; 501 -> 684[label="",style="dashed", color="magenta", weight=3]; 502 -> 318[label="",style="dashed", color="red", weight=0]; 502[label="xy301 == xy4001",fontsize=16,color="magenta"];502 -> 685[label="",style="dashed", color="magenta", weight=3]; 502 -> 686[label="",style="dashed", color="magenta", weight=3]; 503[label="xy300 * xy4001",fontsize=16,color="black",shape="triangle"];503 -> 687[label="",style="solid", color="black", weight=3]; 504 -> 503[label="",style="dashed", color="red", weight=0]; 504[label="xy301 * xy4000",fontsize=16,color="magenta"];504 -> 688[label="",style="dashed", color="magenta", weight=3]; 504 -> 689[label="",style="dashed", color="magenta", weight=3]; 505 -> 308[label="",style="dashed", color="red", weight=0]; 505[label="xy300 == xy4000",fontsize=16,color="magenta"];505 -> 690[label="",style="dashed", color="magenta", weight=3]; 505 -> 691[label="",style="dashed", color="magenta", weight=3]; 506 -> 309[label="",style="dashed", color="red", weight=0]; 506[label="xy300 == xy4000",fontsize=16,color="magenta"];506 -> 692[label="",style="dashed", color="magenta", weight=3]; 506 -> 693[label="",style="dashed", color="magenta", weight=3]; 507 -> 310[label="",style="dashed", color="red", weight=0]; 507[label="xy300 == xy4000",fontsize=16,color="magenta"];507 -> 694[label="",style="dashed", color="magenta", weight=3]; 507 -> 695[label="",style="dashed", color="magenta", weight=3]; 508 -> 311[label="",style="dashed", color="red", weight=0]; 508[label="xy300 == xy4000",fontsize=16,color="magenta"];508 -> 696[label="",style="dashed", color="magenta", weight=3]; 508 -> 697[label="",style="dashed", color="magenta", weight=3]; 509 -> 312[label="",style="dashed", color="red", weight=0]; 509[label="xy300 == xy4000",fontsize=16,color="magenta"];509 -> 698[label="",style="dashed", color="magenta", weight=3]; 509 -> 699[label="",style="dashed", color="magenta", weight=3]; 510 -> 313[label="",style="dashed", color="red", weight=0]; 510[label="xy300 == xy4000",fontsize=16,color="magenta"];510 -> 700[label="",style="dashed", color="magenta", weight=3]; 510 -> 701[label="",style="dashed", color="magenta", weight=3]; 511 -> 314[label="",style="dashed", color="red", weight=0]; 511[label="xy300 == xy4000",fontsize=16,color="magenta"];511 -> 702[label="",style="dashed", color="magenta", weight=3]; 511 -> 703[label="",style="dashed", color="magenta", weight=3]; 512 -> 315[label="",style="dashed", color="red", weight=0]; 512[label="xy300 == xy4000",fontsize=16,color="magenta"];512 -> 704[label="",style="dashed", color="magenta", weight=3]; 512 -> 705[label="",style="dashed", color="magenta", weight=3]; 513 -> 316[label="",style="dashed", color="red", weight=0]; 513[label="xy300 == xy4000",fontsize=16,color="magenta"];513 -> 706[label="",style="dashed", color="magenta", weight=3]; 513 -> 707[label="",style="dashed", color="magenta", weight=3]; 514 -> 305[label="",style="dashed", color="red", weight=0]; 514[label="xy300 == xy4000",fontsize=16,color="magenta"];514 -> 708[label="",style="dashed", color="magenta", weight=3]; 514 -> 709[label="",style="dashed", color="magenta", weight=3]; 515 -> 318[label="",style="dashed", color="red", weight=0]; 515[label="xy300 == xy4000",fontsize=16,color="magenta"];515 -> 710[label="",style="dashed", color="magenta", weight=3]; 515 -> 711[label="",style="dashed", color="magenta", weight=3]; 516 -> 319[label="",style="dashed", color="red", weight=0]; 516[label="xy300 == xy4000",fontsize=16,color="magenta"];516 -> 712[label="",style="dashed", color="magenta", weight=3]; 516 -> 713[label="",style="dashed", color="magenta", weight=3]; 517 -> 320[label="",style="dashed", color="red", weight=0]; 517[label="xy300 == xy4000",fontsize=16,color="magenta"];517 -> 714[label="",style="dashed", color="magenta", weight=3]; 517 -> 715[label="",style="dashed", color="magenta", weight=3]; 518 -> 321[label="",style="dashed", color="red", weight=0]; 518[label="xy300 == xy4000",fontsize=16,color="magenta"];518 -> 716[label="",style="dashed", color="magenta", weight=3]; 518 -> 717[label="",style="dashed", color="magenta", weight=3]; 519[label="xy301 == xy4001",fontsize=16,color="blue",shape="box"];1146[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];519 -> 1146[label="",style="solid", color="blue", weight=9]; 1146 -> 718[label="",style="solid", color="blue", weight=3]; 1147[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];519 -> 1147[label="",style="solid", color="blue", weight=9]; 1147 -> 719[label="",style="solid", color="blue", weight=3]; 1148[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];519 -> 1148[label="",style="solid", color="blue", weight=9]; 1148 -> 720[label="",style="solid", color="blue", weight=3]; 1149[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];519 -> 1149[label="",style="solid", color="blue", weight=9]; 1149 -> 721[label="",style="solid", color="blue", weight=3]; 1150[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];519 -> 1150[label="",style="solid", color="blue", weight=9]; 1150 -> 722[label="",style="solid", color="blue", weight=3]; 1151[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];519 -> 1151[label="",style="solid", color="blue", weight=9]; 1151 -> 723[label="",style="solid", color="blue", weight=3]; 1152[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];519 -> 1152[label="",style="solid", color="blue", weight=9]; 1152 -> 724[label="",style="solid", color="blue", weight=3]; 1153[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];519 -> 1153[label="",style="solid", color="blue", weight=9]; 1153 -> 725[label="",style="solid", color="blue", weight=3]; 1154[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];519 -> 1154[label="",style="solid", color="blue", weight=9]; 1154 -> 726[label="",style="solid", color="blue", weight=3]; 1155[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];519 -> 1155[label="",style="solid", color="blue", weight=9]; 1155 -> 727[label="",style="solid", color="blue", weight=3]; 1156[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];519 -> 1156[label="",style="solid", color="blue", weight=9]; 1156 -> 728[label="",style="solid", color="blue", weight=3]; 1157[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];519 -> 1157[label="",style="solid", color="blue", weight=9]; 1157 -> 729[label="",style="solid", color="blue", weight=3]; 1158[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];519 -> 1158[label="",style="solid", color="blue", weight=9]; 1158 -> 730[label="",style="solid", color="blue", weight=3]; 1159[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];519 -> 1159[label="",style="solid", color="blue", weight=9]; 1159 -> 731[label="",style="solid", color="blue", weight=3]; 520[label="xy302 == xy4002",fontsize=16,color="blue",shape="box"];1160[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];520 -> 1160[label="",style="solid", color="blue", weight=9]; 1160 -> 732[label="",style="solid", color="blue", weight=3]; 1161[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];520 -> 1161[label="",style="solid", color="blue", weight=9]; 1161 -> 733[label="",style="solid", color="blue", weight=3]; 1162[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];520 -> 1162[label="",style="solid", color="blue", weight=9]; 1162 -> 734[label="",style="solid", color="blue", weight=3]; 1163[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];520 -> 1163[label="",style="solid", color="blue", weight=9]; 1163 -> 735[label="",style="solid", color="blue", weight=3]; 1164[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];520 -> 1164[label="",style="solid", color="blue", weight=9]; 1164 -> 736[label="",style="solid", color="blue", weight=3]; 1165[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];520 -> 1165[label="",style="solid", color="blue", weight=9]; 1165 -> 737[label="",style="solid", color="blue", weight=3]; 1166[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];520 -> 1166[label="",style="solid", color="blue", weight=9]; 1166 -> 738[label="",style="solid", color="blue", weight=3]; 1167[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];520 -> 1167[label="",style="solid", color="blue", weight=9]; 1167 -> 739[label="",style="solid", color="blue", weight=3]; 1168[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];520 -> 1168[label="",style="solid", color="blue", weight=9]; 1168 -> 740[label="",style="solid", color="blue", weight=3]; 1169[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];520 -> 1169[label="",style="solid", color="blue", weight=9]; 1169 -> 741[label="",style="solid", color="blue", weight=3]; 1170[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];520 -> 1170[label="",style="solid", color="blue", weight=9]; 1170 -> 742[label="",style="solid", color="blue", weight=3]; 1171[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];520 -> 1171[label="",style="solid", color="blue", weight=9]; 1171 -> 743[label="",style="solid", color="blue", weight=3]; 1172[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];520 -> 1172[label="",style="solid", color="blue", weight=9]; 1172 -> 744[label="",style="solid", color="blue", weight=3]; 1173[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];520 -> 1173[label="",style="solid", color="blue", weight=9]; 1173 -> 745[label="",style="solid", color="blue", weight=3]; 521[label="xy300",fontsize=16,color="green",shape="box"];522[label="xy4000",fontsize=16,color="green",shape="box"];523[label="xy300",fontsize=16,color="green",shape="box"];524[label="xy4000",fontsize=16,color="green",shape="box"];525[label="xy300",fontsize=16,color="green",shape="box"];526[label="xy4000",fontsize=16,color="green",shape="box"];527[label="xy300",fontsize=16,color="green",shape="box"];528[label="xy4000",fontsize=16,color="green",shape="box"];529[label="xy300",fontsize=16,color="green",shape="box"];530[label="xy4000",fontsize=16,color="green",shape="box"];531[label="xy300",fontsize=16,color="green",shape="box"];532[label="xy4000",fontsize=16,color="green",shape="box"];533[label="xy300",fontsize=16,color="green",shape="box"];534[label="xy4000",fontsize=16,color="green",shape="box"];535[label="xy300",fontsize=16,color="green",shape="box"];536[label="xy4000",fontsize=16,color="green",shape="box"];537[label="xy300",fontsize=16,color="green",shape="box"];538[label="xy4000",fontsize=16,color="green",shape="box"];539[label="xy300",fontsize=16,color="green",shape="box"];540[label="xy4000",fontsize=16,color="green",shape="box"];541[label="xy300",fontsize=16,color="green",shape="box"];542[label="xy4000",fontsize=16,color="green",shape="box"];543[label="xy300",fontsize=16,color="green",shape="box"];544[label="xy4000",fontsize=16,color="green",shape="box"];545[label="xy300",fontsize=16,color="green",shape="box"];546[label="xy4000",fontsize=16,color="green",shape="box"];547[label="xy300",fontsize=16,color="green",shape="box"];548[label="xy4000",fontsize=16,color="green",shape="box"];549[label="primEqInt (Pos (Succ xy3000)) (Pos (Succ xy40000))",fontsize=16,color="black",shape="box"];549 -> 746[label="",style="solid", color="black", weight=3]; 550[label="primEqInt (Pos (Succ xy3000)) (Pos Zero)",fontsize=16,color="black",shape="box"];550 -> 747[label="",style="solid", color="black", weight=3]; 551[label="False",fontsize=16,color="green",shape="box"];552[label="primEqInt (Pos Zero) (Pos (Succ xy40000))",fontsize=16,color="black",shape="box"];552 -> 748[label="",style="solid", color="black", weight=3]; 553[label="primEqInt (Pos Zero) (Pos Zero)",fontsize=16,color="black",shape="box"];553 -> 749[label="",style="solid", color="black", weight=3]; 554[label="primEqInt (Pos Zero) (Neg (Succ xy40000))",fontsize=16,color="black",shape="box"];554 -> 750[label="",style="solid", color="black", weight=3]; 555[label="primEqInt (Pos Zero) (Neg Zero)",fontsize=16,color="black",shape="box"];555 -> 751[label="",style="solid", color="black", weight=3]; 556[label="False",fontsize=16,color="green",shape="box"];557[label="primEqInt (Neg (Succ xy3000)) (Neg (Succ xy40000))",fontsize=16,color="black",shape="box"];557 -> 752[label="",style="solid", color="black", weight=3]; 558[label="primEqInt (Neg (Succ xy3000)) (Neg Zero)",fontsize=16,color="black",shape="box"];558 -> 753[label="",style="solid", color="black", weight=3]; 559[label="primEqInt (Neg Zero) (Pos (Succ xy40000))",fontsize=16,color="black",shape="box"];559 -> 754[label="",style="solid", color="black", weight=3]; 560[label="primEqInt (Neg Zero) (Pos Zero)",fontsize=16,color="black",shape="box"];560 -> 755[label="",style="solid", color="black", weight=3]; 561[label="primEqInt (Neg Zero) (Neg (Succ xy40000))",fontsize=16,color="black",shape="box"];561 -> 756[label="",style="solid", color="black", weight=3]; 562[label="primEqInt (Neg Zero) (Neg Zero)",fontsize=16,color="black",shape="box"];562 -> 757[label="",style="solid", color="black", weight=3]; 563[label="xy300",fontsize=16,color="green",shape="box"];564[label="xy4000",fontsize=16,color="green",shape="box"];565[label="xy300",fontsize=16,color="green",shape="box"];566[label="xy4000",fontsize=16,color="green",shape="box"];567[label="xy300",fontsize=16,color="green",shape="box"];568[label="xy4000",fontsize=16,color="green",shape="box"];569[label="xy300",fontsize=16,color="green",shape="box"];570[label="xy4000",fontsize=16,color="green",shape="box"];571[label="xy300",fontsize=16,color="green",shape="box"];572[label="xy4000",fontsize=16,color="green",shape="box"];573[label="xy300",fontsize=16,color="green",shape="box"];574[label="xy4000",fontsize=16,color="green",shape="box"];575[label="xy300",fontsize=16,color="green",shape="box"];576[label="xy4000",fontsize=16,color="green",shape="box"];577[label="xy300",fontsize=16,color="green",shape="box"];578[label="xy4000",fontsize=16,color="green",shape="box"];579[label="xy300",fontsize=16,color="green",shape="box"];580[label="xy4000",fontsize=16,color="green",shape="box"];581[label="xy300",fontsize=16,color="green",shape="box"];582[label="xy4000",fontsize=16,color="green",shape="box"];583[label="xy300",fontsize=16,color="green",shape="box"];584[label="xy4000",fontsize=16,color="green",shape="box"];585[label="xy300",fontsize=16,color="green",shape="box"];586[label="xy4000",fontsize=16,color="green",shape="box"];587[label="xy300",fontsize=16,color="green",shape="box"];588[label="xy4000",fontsize=16,color="green",shape="box"];589[label="xy300",fontsize=16,color="green",shape="box"];590[label="xy4000",fontsize=16,color="green",shape="box"];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="primEqNat (Succ xy3000) xy4000",fontsize=16,color="burlywood",shape="box"];1174[label="xy4000/Succ xy40000",fontsize=10,color="white",style="solid",shape="box"];619 -> 1174[label="",style="solid", color="burlywood", weight=9]; 1174 -> 758[label="",style="solid", color="burlywood", weight=3]; 1175[label="xy4000/Zero",fontsize=10,color="white",style="solid",shape="box"];619 -> 1175[label="",style="solid", color="burlywood", weight=9]; 1175 -> 759[label="",style="solid", color="burlywood", weight=3]; 620[label="primEqNat Zero xy4000",fontsize=16,color="burlywood",shape="box"];1176[label="xy4000/Succ xy40000",fontsize=10,color="white",style="solid",shape="box"];620 -> 1176[label="",style="solid", color="burlywood", weight=9]; 1176 -> 760[label="",style="solid", color="burlywood", weight=3]; 1177[label="xy4000/Zero",fontsize=10,color="white",style="solid",shape="box"];620 -> 1177[label="",style="solid", color="burlywood", weight=9]; 1177 -> 761[label="",style="solid", color="burlywood", weight=3]; 621 -> 503[label="",style="dashed", color="red", weight=0]; 621[label="xy300 * xy4001",fontsize=16,color="magenta"];621 -> 762[label="",style="dashed", color="magenta", weight=3]; 621 -> 763[label="",style="dashed", color="magenta", weight=3]; 622 -> 503[label="",style="dashed", color="red", weight=0]; 622[label="xy301 * xy4000",fontsize=16,color="magenta"];622 -> 764[label="",style="dashed", color="magenta", weight=3]; 622 -> 765[label="",style="dashed", color="magenta", weight=3]; 623 -> 308[label="",style="dashed", color="red", weight=0]; 623[label="xy300 == xy4000",fontsize=16,color="magenta"];623 -> 766[label="",style="dashed", color="magenta", weight=3]; 623 -> 767[label="",style="dashed", color="magenta", weight=3]; 624 -> 309[label="",style="dashed", color="red", weight=0]; 624[label="xy300 == xy4000",fontsize=16,color="magenta"];624 -> 768[label="",style="dashed", color="magenta", weight=3]; 624 -> 769[label="",style="dashed", color="magenta", weight=3]; 625 -> 310[label="",style="dashed", color="red", weight=0]; 625[label="xy300 == xy4000",fontsize=16,color="magenta"];625 -> 770[label="",style="dashed", color="magenta", weight=3]; 625 -> 771[label="",style="dashed", color="magenta", weight=3]; 626 -> 311[label="",style="dashed", color="red", weight=0]; 626[label="xy300 == xy4000",fontsize=16,color="magenta"];626 -> 772[label="",style="dashed", color="magenta", weight=3]; 626 -> 773[label="",style="dashed", color="magenta", weight=3]; 627 -> 312[label="",style="dashed", color="red", weight=0]; 627[label="xy300 == xy4000",fontsize=16,color="magenta"];627 -> 774[label="",style="dashed", color="magenta", weight=3]; 627 -> 775[label="",style="dashed", color="magenta", weight=3]; 628 -> 313[label="",style="dashed", color="red", weight=0]; 628[label="xy300 == xy4000",fontsize=16,color="magenta"];628 -> 776[label="",style="dashed", color="magenta", weight=3]; 628 -> 777[label="",style="dashed", color="magenta", weight=3]; 629 -> 314[label="",style="dashed", color="red", weight=0]; 629[label="xy300 == xy4000",fontsize=16,color="magenta"];629 -> 778[label="",style="dashed", color="magenta", weight=3]; 629 -> 779[label="",style="dashed", color="magenta", weight=3]; 630 -> 315[label="",style="dashed", color="red", weight=0]; 630[label="xy300 == xy4000",fontsize=16,color="magenta"];630 -> 780[label="",style="dashed", color="magenta", weight=3]; 630 -> 781[label="",style="dashed", color="magenta", weight=3]; 631 -> 316[label="",style="dashed", color="red", weight=0]; 631[label="xy300 == xy4000",fontsize=16,color="magenta"];631 -> 782[label="",style="dashed", color="magenta", weight=3]; 631 -> 783[label="",style="dashed", color="magenta", weight=3]; 632 -> 305[label="",style="dashed", color="red", weight=0]; 632[label="xy300 == xy4000",fontsize=16,color="magenta"];632 -> 784[label="",style="dashed", color="magenta", weight=3]; 632 -> 785[label="",style="dashed", color="magenta", weight=3]; 633 -> 318[label="",style="dashed", color="red", weight=0]; 633[label="xy300 == xy4000",fontsize=16,color="magenta"];633 -> 786[label="",style="dashed", color="magenta", weight=3]; 633 -> 787[label="",style="dashed", color="magenta", weight=3]; 634 -> 319[label="",style="dashed", color="red", weight=0]; 634[label="xy300 == xy4000",fontsize=16,color="magenta"];634 -> 788[label="",style="dashed", color="magenta", weight=3]; 634 -> 789[label="",style="dashed", color="magenta", weight=3]; 635 -> 320[label="",style="dashed", color="red", weight=0]; 635[label="xy300 == xy4000",fontsize=16,color="magenta"];635 -> 790[label="",style="dashed", color="magenta", weight=3]; 635 -> 791[label="",style="dashed", color="magenta", weight=3]; 636 -> 321[label="",style="dashed", color="red", weight=0]; 636[label="xy300 == xy4000",fontsize=16,color="magenta"];636 -> 792[label="",style="dashed", color="magenta", weight=3]; 636 -> 793[label="",style="dashed", color="magenta", weight=3]; 637 -> 308[label="",style="dashed", color="red", weight=0]; 637[label="xy301 == xy4001",fontsize=16,color="magenta"];637 -> 794[label="",style="dashed", color="magenta", weight=3]; 637 -> 795[label="",style="dashed", color="magenta", weight=3]; 638 -> 309[label="",style="dashed", color="red", weight=0]; 638[label="xy301 == xy4001",fontsize=16,color="magenta"];638 -> 796[label="",style="dashed", color="magenta", weight=3]; 638 -> 797[label="",style="dashed", color="magenta", weight=3]; 639 -> 310[label="",style="dashed", color="red", weight=0]; 639[label="xy301 == xy4001",fontsize=16,color="magenta"];639 -> 798[label="",style="dashed", color="magenta", weight=3]; 639 -> 799[label="",style="dashed", color="magenta", weight=3]; 640 -> 311[label="",style="dashed", color="red", weight=0]; 640[label="xy301 == xy4001",fontsize=16,color="magenta"];640 -> 800[label="",style="dashed", color="magenta", weight=3]; 640 -> 801[label="",style="dashed", color="magenta", weight=3]; 641 -> 312[label="",style="dashed", color="red", weight=0]; 641[label="xy301 == xy4001",fontsize=16,color="magenta"];641 -> 802[label="",style="dashed", color="magenta", weight=3]; 641 -> 803[label="",style="dashed", color="magenta", weight=3]; 642 -> 313[label="",style="dashed", color="red", weight=0]; 642[label="xy301 == xy4001",fontsize=16,color="magenta"];642 -> 804[label="",style="dashed", color="magenta", weight=3]; 642 -> 805[label="",style="dashed", color="magenta", weight=3]; 643 -> 314[label="",style="dashed", color="red", weight=0]; 643[label="xy301 == xy4001",fontsize=16,color="magenta"];643 -> 806[label="",style="dashed", color="magenta", weight=3]; 643 -> 807[label="",style="dashed", color="magenta", weight=3]; 644 -> 315[label="",style="dashed", color="red", weight=0]; 644[label="xy301 == xy4001",fontsize=16,color="magenta"];644 -> 808[label="",style="dashed", color="magenta", weight=3]; 644 -> 809[label="",style="dashed", color="magenta", weight=3]; 645 -> 316[label="",style="dashed", color="red", weight=0]; 645[label="xy301 == xy4001",fontsize=16,color="magenta"];645 -> 810[label="",style="dashed", color="magenta", weight=3]; 645 -> 811[label="",style="dashed", color="magenta", weight=3]; 646 -> 305[label="",style="dashed", color="red", weight=0]; 646[label="xy301 == xy4001",fontsize=16,color="magenta"];646 -> 812[label="",style="dashed", color="magenta", weight=3]; 646 -> 813[label="",style="dashed", color="magenta", weight=3]; 647 -> 318[label="",style="dashed", color="red", weight=0]; 647[label="xy301 == xy4001",fontsize=16,color="magenta"];647 -> 814[label="",style="dashed", color="magenta", weight=3]; 647 -> 815[label="",style="dashed", color="magenta", weight=3]; 648 -> 319[label="",style="dashed", color="red", weight=0]; 648[label="xy301 == xy4001",fontsize=16,color="magenta"];648 -> 816[label="",style="dashed", color="magenta", weight=3]; 648 -> 817[label="",style="dashed", color="magenta", weight=3]; 649 -> 320[label="",style="dashed", color="red", weight=0]; 649[label="xy301 == xy4001",fontsize=16,color="magenta"];649 -> 818[label="",style="dashed", color="magenta", weight=3]; 649 -> 819[label="",style="dashed", color="magenta", weight=3]; 650 -> 321[label="",style="dashed", color="red", weight=0]; 650[label="xy301 == xy4001",fontsize=16,color="magenta"];650 -> 820[label="",style="dashed", color="magenta", weight=3]; 650 -> 821[label="",style="dashed", color="magenta", weight=3]; 651[label="xy310",fontsize=16,color="green",shape="box"];652[label="xy4010",fontsize=16,color="green",shape="box"];653[label="xy310",fontsize=16,color="green",shape="box"];654[label="xy4010",fontsize=16,color="green",shape="box"];655[label="xy310",fontsize=16,color="green",shape="box"];656[label="xy4010",fontsize=16,color="green",shape="box"];657[label="xy310",fontsize=16,color="green",shape="box"];658[label="xy4010",fontsize=16,color="green",shape="box"];659[label="xy310",fontsize=16,color="green",shape="box"];660[label="xy4010",fontsize=16,color="green",shape="box"];661[label="xy310",fontsize=16,color="green",shape="box"];662[label="xy4010",fontsize=16,color="green",shape="box"];663[label="xy310",fontsize=16,color="green",shape="box"];664[label="xy4010",fontsize=16,color="green",shape="box"];665[label="xy310",fontsize=16,color="green",shape="box"];666[label="xy4010",fontsize=16,color="green",shape="box"];667[label="xy310",fontsize=16,color="green",shape="box"];668[label="xy4010",fontsize=16,color="green",shape="box"];669[label="xy310",fontsize=16,color="green",shape="box"];670[label="xy4010",fontsize=16,color="green",shape="box"];671[label="xy310",fontsize=16,color="green",shape="box"];672[label="xy4010",fontsize=16,color="green",shape="box"];673[label="xy310",fontsize=16,color="green",shape="box"];674[label="xy4010",fontsize=16,color="green",shape="box"];675[label="xy310",fontsize=16,color="green",shape="box"];676[label="xy4010",fontsize=16,color="green",shape="box"];677[label="xy310",fontsize=16,color="green",shape="box"];678[label="xy4010",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="xy301",fontsize=16,color="green",shape="box"];684[label="xy4001",fontsize=16,color="green",shape="box"];685[label="xy301",fontsize=16,color="green",shape="box"];686[label="xy4001",fontsize=16,color="green",shape="box"];687[label="primMulInt xy300 xy4001",fontsize=16,color="burlywood",shape="box"];1178[label="xy300/Pos xy3000",fontsize=10,color="white",style="solid",shape="box"];687 -> 1178[label="",style="solid", color="burlywood", weight=9]; 1178 -> 822[label="",style="solid", color="burlywood", weight=3]; 1179[label="xy300/Neg xy3000",fontsize=10,color="white",style="solid",shape="box"];687 -> 1179[label="",style="solid", color="burlywood", weight=9]; 1179 -> 823[label="",style="solid", color="burlywood", weight=3]; 688[label="xy301",fontsize=16,color="green",shape="box"];689[label="xy4000",fontsize=16,color="green",shape="box"];690[label="xy300",fontsize=16,color="green",shape="box"];691[label="xy4000",fontsize=16,color="green",shape="box"];692[label="xy300",fontsize=16,color="green",shape="box"];693[label="xy4000",fontsize=16,color="green",shape="box"];694[label="xy300",fontsize=16,color="green",shape="box"];695[label="xy4000",fontsize=16,color="green",shape="box"];696[label="xy300",fontsize=16,color="green",shape="box"];697[label="xy4000",fontsize=16,color="green",shape="box"];698[label="xy300",fontsize=16,color="green",shape="box"];699[label="xy4000",fontsize=16,color="green",shape="box"];700[label="xy300",fontsize=16,color="green",shape="box"];701[label="xy4000",fontsize=16,color="green",shape="box"];702[label="xy300",fontsize=16,color="green",shape="box"];703[label="xy4000",fontsize=16,color="green",shape="box"];704[label="xy300",fontsize=16,color="green",shape="box"];705[label="xy4000",fontsize=16,color="green",shape="box"];706[label="xy300",fontsize=16,color="green",shape="box"];707[label="xy4000",fontsize=16,color="green",shape="box"];708[label="xy300",fontsize=16,color="green",shape="box"];709[label="xy4000",fontsize=16,color="green",shape="box"];710[label="xy300",fontsize=16,color="green",shape="box"];711[label="xy4000",fontsize=16,color="green",shape="box"];712[label="xy300",fontsize=16,color="green",shape="box"];713[label="xy4000",fontsize=16,color="green",shape="box"];714[label="xy300",fontsize=16,color="green",shape="box"];715[label="xy4000",fontsize=16,color="green",shape="box"];716[label="xy300",fontsize=16,color="green",shape="box"];717[label="xy4000",fontsize=16,color="green",shape="box"];718 -> 308[label="",style="dashed", color="red", weight=0]; 718[label="xy301 == xy4001",fontsize=16,color="magenta"];718 -> 824[label="",style="dashed", color="magenta", weight=3]; 718 -> 825[label="",style="dashed", color="magenta", weight=3]; 719 -> 309[label="",style="dashed", color="red", weight=0]; 719[label="xy301 == xy4001",fontsize=16,color="magenta"];719 -> 826[label="",style="dashed", color="magenta", weight=3]; 719 -> 827[label="",style="dashed", color="magenta", weight=3]; 720 -> 310[label="",style="dashed", color="red", weight=0]; 720[label="xy301 == xy4001",fontsize=16,color="magenta"];720 -> 828[label="",style="dashed", color="magenta", weight=3]; 720 -> 829[label="",style="dashed", color="magenta", weight=3]; 721 -> 311[label="",style="dashed", color="red", weight=0]; 721[label="xy301 == xy4001",fontsize=16,color="magenta"];721 -> 830[label="",style="dashed", color="magenta", weight=3]; 721 -> 831[label="",style="dashed", color="magenta", weight=3]; 722 -> 312[label="",style="dashed", color="red", weight=0]; 722[label="xy301 == xy4001",fontsize=16,color="magenta"];722 -> 832[label="",style="dashed", color="magenta", weight=3]; 722 -> 833[label="",style="dashed", color="magenta", weight=3]; 723 -> 313[label="",style="dashed", color="red", weight=0]; 723[label="xy301 == xy4001",fontsize=16,color="magenta"];723 -> 834[label="",style="dashed", color="magenta", weight=3]; 723 -> 835[label="",style="dashed", color="magenta", weight=3]; 724 -> 314[label="",style="dashed", color="red", weight=0]; 724[label="xy301 == xy4001",fontsize=16,color="magenta"];724 -> 836[label="",style="dashed", color="magenta", weight=3]; 724 -> 837[label="",style="dashed", color="magenta", weight=3]; 725 -> 315[label="",style="dashed", color="red", weight=0]; 725[label="xy301 == xy4001",fontsize=16,color="magenta"];725 -> 838[label="",style="dashed", color="magenta", weight=3]; 725 -> 839[label="",style="dashed", color="magenta", weight=3]; 726 -> 316[label="",style="dashed", color="red", weight=0]; 726[label="xy301 == xy4001",fontsize=16,color="magenta"];726 -> 840[label="",style="dashed", color="magenta", weight=3]; 726 -> 841[label="",style="dashed", color="magenta", weight=3]; 727 -> 305[label="",style="dashed", color="red", weight=0]; 727[label="xy301 == xy4001",fontsize=16,color="magenta"];727 -> 842[label="",style="dashed", color="magenta", weight=3]; 727 -> 843[label="",style="dashed", color="magenta", weight=3]; 728 -> 318[label="",style="dashed", color="red", weight=0]; 728[label="xy301 == xy4001",fontsize=16,color="magenta"];728 -> 844[label="",style="dashed", color="magenta", weight=3]; 728 -> 845[label="",style="dashed", color="magenta", weight=3]; 729 -> 319[label="",style="dashed", color="red", weight=0]; 729[label="xy301 == xy4001",fontsize=16,color="magenta"];729 -> 846[label="",style="dashed", color="magenta", weight=3]; 729 -> 847[label="",style="dashed", color="magenta", weight=3]; 730 -> 320[label="",style="dashed", color="red", weight=0]; 730[label="xy301 == xy4001",fontsize=16,color="magenta"];730 -> 848[label="",style="dashed", color="magenta", weight=3]; 730 -> 849[label="",style="dashed", color="magenta", weight=3]; 731 -> 321[label="",style="dashed", color="red", weight=0]; 731[label="xy301 == xy4001",fontsize=16,color="magenta"];731 -> 850[label="",style="dashed", color="magenta", weight=3]; 731 -> 851[label="",style="dashed", color="magenta", weight=3]; 732 -> 308[label="",style="dashed", color="red", weight=0]; 732[label="xy302 == xy4002",fontsize=16,color="magenta"];732 -> 852[label="",style="dashed", color="magenta", weight=3]; 732 -> 853[label="",style="dashed", color="magenta", weight=3]; 733 -> 309[label="",style="dashed", color="red", weight=0]; 733[label="xy302 == xy4002",fontsize=16,color="magenta"];733 -> 854[label="",style="dashed", color="magenta", weight=3]; 733 -> 855[label="",style="dashed", color="magenta", weight=3]; 734 -> 310[label="",style="dashed", color="red", weight=0]; 734[label="xy302 == xy4002",fontsize=16,color="magenta"];734 -> 856[label="",style="dashed", color="magenta", weight=3]; 734 -> 857[label="",style="dashed", color="magenta", weight=3]; 735 -> 311[label="",style="dashed", color="red", weight=0]; 735[label="xy302 == xy4002",fontsize=16,color="magenta"];735 -> 858[label="",style="dashed", color="magenta", weight=3]; 735 -> 859[label="",style="dashed", color="magenta", weight=3]; 736 -> 312[label="",style="dashed", color="red", weight=0]; 736[label="xy302 == xy4002",fontsize=16,color="magenta"];736 -> 860[label="",style="dashed", color="magenta", weight=3]; 736 -> 861[label="",style="dashed", color="magenta", weight=3]; 737 -> 313[label="",style="dashed", color="red", weight=0]; 737[label="xy302 == xy4002",fontsize=16,color="magenta"];737 -> 862[label="",style="dashed", color="magenta", weight=3]; 737 -> 863[label="",style="dashed", color="magenta", weight=3]; 738 -> 314[label="",style="dashed", color="red", weight=0]; 738[label="xy302 == xy4002",fontsize=16,color="magenta"];738 -> 864[label="",style="dashed", color="magenta", weight=3]; 738 -> 865[label="",style="dashed", color="magenta", weight=3]; 739 -> 315[label="",style="dashed", color="red", weight=0]; 739[label="xy302 == xy4002",fontsize=16,color="magenta"];739 -> 866[label="",style="dashed", color="magenta", weight=3]; 739 -> 867[label="",style="dashed", color="magenta", weight=3]; 740 -> 316[label="",style="dashed", color="red", weight=0]; 740[label="xy302 == xy4002",fontsize=16,color="magenta"];740 -> 868[label="",style="dashed", color="magenta", weight=3]; 740 -> 869[label="",style="dashed", color="magenta", weight=3]; 741 -> 305[label="",style="dashed", color="red", weight=0]; 741[label="xy302 == xy4002",fontsize=16,color="magenta"];741 -> 870[label="",style="dashed", color="magenta", weight=3]; 741 -> 871[label="",style="dashed", color="magenta", weight=3]; 742 -> 318[label="",style="dashed", color="red", weight=0]; 742[label="xy302 == xy4002",fontsize=16,color="magenta"];742 -> 872[label="",style="dashed", color="magenta", weight=3]; 742 -> 873[label="",style="dashed", color="magenta", weight=3]; 743 -> 319[label="",style="dashed", color="red", weight=0]; 743[label="xy302 == xy4002",fontsize=16,color="magenta"];743 -> 874[label="",style="dashed", color="magenta", weight=3]; 743 -> 875[label="",style="dashed", color="magenta", weight=3]; 744 -> 320[label="",style="dashed", color="red", weight=0]; 744[label="xy302 == xy4002",fontsize=16,color="magenta"];744 -> 876[label="",style="dashed", color="magenta", weight=3]; 744 -> 877[label="",style="dashed", color="magenta", weight=3]; 745 -> 321[label="",style="dashed", color="red", weight=0]; 745[label="xy302 == xy4002",fontsize=16,color="magenta"];745 -> 878[label="",style="dashed", color="magenta", weight=3]; 745 -> 879[label="",style="dashed", color="magenta", weight=3]; 746 -> 477[label="",style="dashed", color="red", weight=0]; 746[label="primEqNat xy3000 xy40000",fontsize=16,color="magenta"];746 -> 880[label="",style="dashed", color="magenta", weight=3]; 746 -> 881[label="",style="dashed", color="magenta", weight=3]; 747[label="False",fontsize=16,color="green",shape="box"];748[label="False",fontsize=16,color="green",shape="box"];749[label="True",fontsize=16,color="green",shape="box"];750[label="False",fontsize=16,color="green",shape="box"];751[label="True",fontsize=16,color="green",shape="box"];752 -> 477[label="",style="dashed", color="red", weight=0]; 752[label="primEqNat xy3000 xy40000",fontsize=16,color="magenta"];752 -> 882[label="",style="dashed", color="magenta", weight=3]; 752 -> 883[label="",style="dashed", color="magenta", weight=3]; 753[label="False",fontsize=16,color="green",shape="box"];754[label="False",fontsize=16,color="green",shape="box"];755[label="True",fontsize=16,color="green",shape="box"];756[label="False",fontsize=16,color="green",shape="box"];757[label="True",fontsize=16,color="green",shape="box"];758[label="primEqNat (Succ xy3000) (Succ xy40000)",fontsize=16,color="black",shape="box"];758 -> 884[label="",style="solid", color="black", weight=3]; 759[label="primEqNat (Succ xy3000) Zero",fontsize=16,color="black",shape="box"];759 -> 885[label="",style="solid", color="black", weight=3]; 760[label="primEqNat Zero (Succ xy40000)",fontsize=16,color="black",shape="box"];760 -> 886[label="",style="solid", color="black", weight=3]; 761[label="primEqNat Zero Zero",fontsize=16,color="black",shape="box"];761 -> 887[label="",style="solid", color="black", weight=3]; 762[label="xy300",fontsize=16,color="green",shape="box"];763[label="xy4001",fontsize=16,color="green",shape="box"];764[label="xy301",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="xy300",fontsize=16,color="green",shape="box"];775[label="xy4000",fontsize=16,color="green",shape="box"];776[label="xy300",fontsize=16,color="green",shape="box"];777[label="xy4000",fontsize=16,color="green",shape="box"];778[label="xy300",fontsize=16,color="green",shape="box"];779[label="xy4000",fontsize=16,color="green",shape="box"];780[label="xy300",fontsize=16,color="green",shape="box"];781[label="xy4000",fontsize=16,color="green",shape="box"];782[label="xy300",fontsize=16,color="green",shape="box"];783[label="xy4000",fontsize=16,color="green",shape="box"];784[label="xy300",fontsize=16,color="green",shape="box"];785[label="xy4000",fontsize=16,color="green",shape="box"];786[label="xy300",fontsize=16,color="green",shape="box"];787[label="xy4000",fontsize=16,color="green",shape="box"];788[label="xy300",fontsize=16,color="green",shape="box"];789[label="xy4000",fontsize=16,color="green",shape="box"];790[label="xy300",fontsize=16,color="green",shape="box"];791[label="xy4000",fontsize=16,color="green",shape="box"];792[label="xy300",fontsize=16,color="green",shape="box"];793[label="xy4000",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[label="xy301",fontsize=16,color="green",shape="box"];803[label="xy4001",fontsize=16,color="green",shape="box"];804[label="xy301",fontsize=16,color="green",shape="box"];805[label="xy4001",fontsize=16,color="green",shape="box"];806[label="xy301",fontsize=16,color="green",shape="box"];807[label="xy4001",fontsize=16,color="green",shape="box"];808[label="xy301",fontsize=16,color="green",shape="box"];809[label="xy4001",fontsize=16,color="green",shape="box"];810[label="xy301",fontsize=16,color="green",shape="box"];811[label="xy4001",fontsize=16,color="green",shape="box"];812[label="xy301",fontsize=16,color="green",shape="box"];813[label="xy4001",fontsize=16,color="green",shape="box"];814[label="xy301",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="xy4001",fontsize=16,color="green",shape="box"];818[label="xy301",fontsize=16,color="green",shape="box"];819[label="xy4001",fontsize=16,color="green",shape="box"];820[label="xy301",fontsize=16,color="green",shape="box"];821[label="xy4001",fontsize=16,color="green",shape="box"];822[label="primMulInt (Pos xy3000) xy4001",fontsize=16,color="burlywood",shape="box"];1180[label="xy4001/Pos xy40010",fontsize=10,color="white",style="solid",shape="box"];822 -> 1180[label="",style="solid", color="burlywood", weight=9]; 1180 -> 888[label="",style="solid", color="burlywood", weight=3]; 1181[label="xy4001/Neg xy40010",fontsize=10,color="white",style="solid",shape="box"];822 -> 1181[label="",style="solid", color="burlywood", weight=9]; 1181 -> 889[label="",style="solid", color="burlywood", weight=3]; 823[label="primMulInt (Neg xy3000) xy4001",fontsize=16,color="burlywood",shape="box"];1182[label="xy4001/Pos xy40010",fontsize=10,color="white",style="solid",shape="box"];823 -> 1182[label="",style="solid", color="burlywood", weight=9]; 1182 -> 890[label="",style="solid", color="burlywood", weight=3]; 1183[label="xy4001/Neg xy40010",fontsize=10,color="white",style="solid",shape="box"];823 -> 1183[label="",style="solid", color="burlywood", weight=9]; 1183 -> 891[label="",style="solid", color="burlywood", weight=3]; 824[label="xy301",fontsize=16,color="green",shape="box"];825[label="xy4001",fontsize=16,color="green",shape="box"];826[label="xy301",fontsize=16,color="green",shape="box"];827[label="xy4001",fontsize=16,color="green",shape="box"];828[label="xy301",fontsize=16,color="green",shape="box"];829[label="xy4001",fontsize=16,color="green",shape="box"];830[label="xy301",fontsize=16,color="green",shape="box"];831[label="xy4001",fontsize=16,color="green",shape="box"];832[label="xy301",fontsize=16,color="green",shape="box"];833[label="xy4001",fontsize=16,color="green",shape="box"];834[label="xy301",fontsize=16,color="green",shape="box"];835[label="xy4001",fontsize=16,color="green",shape="box"];836[label="xy301",fontsize=16,color="green",shape="box"];837[label="xy4001",fontsize=16,color="green",shape="box"];838[label="xy301",fontsize=16,color="green",shape="box"];839[label="xy4001",fontsize=16,color="green",shape="box"];840[label="xy301",fontsize=16,color="green",shape="box"];841[label="xy4001",fontsize=16,color="green",shape="box"];842[label="xy301",fontsize=16,color="green",shape="box"];843[label="xy4001",fontsize=16,color="green",shape="box"];844[label="xy301",fontsize=16,color="green",shape="box"];845[label="xy4001",fontsize=16,color="green",shape="box"];846[label="xy301",fontsize=16,color="green",shape="box"];847[label="xy4001",fontsize=16,color="green",shape="box"];848[label="xy301",fontsize=16,color="green",shape="box"];849[label="xy4001",fontsize=16,color="green",shape="box"];850[label="xy301",fontsize=16,color="green",shape="box"];851[label="xy4001",fontsize=16,color="green",shape="box"];852[label="xy302",fontsize=16,color="green",shape="box"];853[label="xy4002",fontsize=16,color="green",shape="box"];854[label="xy302",fontsize=16,color="green",shape="box"];855[label="xy4002",fontsize=16,color="green",shape="box"];856[label="xy302",fontsize=16,color="green",shape="box"];857[label="xy4002",fontsize=16,color="green",shape="box"];858[label="xy302",fontsize=16,color="green",shape="box"];859[label="xy4002",fontsize=16,color="green",shape="box"];860[label="xy302",fontsize=16,color="green",shape="box"];861[label="xy4002",fontsize=16,color="green",shape="box"];862[label="xy302",fontsize=16,color="green",shape="box"];863[label="xy4002",fontsize=16,color="green",shape="box"];864[label="xy302",fontsize=16,color="green",shape="box"];865[label="xy4002",fontsize=16,color="green",shape="box"];866[label="xy302",fontsize=16,color="green",shape="box"];867[label="xy4002",fontsize=16,color="green",shape="box"];868[label="xy302",fontsize=16,color="green",shape="box"];869[label="xy4002",fontsize=16,color="green",shape="box"];870[label="xy302",fontsize=16,color="green",shape="box"];871[label="xy4002",fontsize=16,color="green",shape="box"];872[label="xy302",fontsize=16,color="green",shape="box"];873[label="xy4002",fontsize=16,color="green",shape="box"];874[label="xy302",fontsize=16,color="green",shape="box"];875[label="xy4002",fontsize=16,color="green",shape="box"];876[label="xy302",fontsize=16,color="green",shape="box"];877[label="xy4002",fontsize=16,color="green",shape="box"];878[label="xy302",fontsize=16,color="green",shape="box"];879[label="xy4002",fontsize=16,color="green",shape="box"];880[label="xy3000",fontsize=16,color="green",shape="box"];881[label="xy40000",fontsize=16,color="green",shape="box"];882[label="xy3000",fontsize=16,color="green",shape="box"];883[label="xy40000",fontsize=16,color="green",shape="box"];884 -> 477[label="",style="dashed", color="red", weight=0]; 884[label="primEqNat xy3000 xy40000",fontsize=16,color="magenta"];884 -> 892[label="",style="dashed", color="magenta", weight=3]; 884 -> 893[label="",style="dashed", color="magenta", weight=3]; 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="primMulInt (Pos xy3000) (Pos xy40010)",fontsize=16,color="black",shape="box"];888 -> 894[label="",style="solid", color="black", weight=3]; 889[label="primMulInt (Pos xy3000) (Neg xy40010)",fontsize=16,color="black",shape="box"];889 -> 895[label="",style="solid", color="black", weight=3]; 890[label="primMulInt (Neg xy3000) (Pos xy40010)",fontsize=16,color="black",shape="box"];890 -> 896[label="",style="solid", color="black", weight=3]; 891[label="primMulInt (Neg xy3000) (Neg xy40010)",fontsize=16,color="black",shape="box"];891 -> 897[label="",style="solid", color="black", weight=3]; 892[label="xy3000",fontsize=16,color="green",shape="box"];893[label="xy40000",fontsize=16,color="green",shape="box"];894[label="Pos (primMulNat xy3000 xy40010)",fontsize=16,color="green",shape="box"];894 -> 898[label="",style="dashed", color="green", weight=3]; 895[label="Neg (primMulNat xy3000 xy40010)",fontsize=16,color="green",shape="box"];895 -> 899[label="",style="dashed", color="green", weight=3]; 896[label="Neg (primMulNat xy3000 xy40010)",fontsize=16,color="green",shape="box"];896 -> 900[label="",style="dashed", color="green", weight=3]; 897[label="Pos (primMulNat xy3000 xy40010)",fontsize=16,color="green",shape="box"];897 -> 901[label="",style="dashed", color="green", weight=3]; 898[label="primMulNat xy3000 xy40010",fontsize=16,color="burlywood",shape="triangle"];1184[label="xy3000/Succ xy30000",fontsize=10,color="white",style="solid",shape="box"];898 -> 1184[label="",style="solid", color="burlywood", weight=9]; 1184 -> 902[label="",style="solid", color="burlywood", weight=3]; 1185[label="xy3000/Zero",fontsize=10,color="white",style="solid",shape="box"];898 -> 1185[label="",style="solid", color="burlywood", weight=9]; 1185 -> 903[label="",style="solid", color="burlywood", weight=3]; 899 -> 898[label="",style="dashed", color="red", weight=0]; 899[label="primMulNat xy3000 xy40010",fontsize=16,color="magenta"];899 -> 904[label="",style="dashed", color="magenta", weight=3]; 900 -> 898[label="",style="dashed", color="red", weight=0]; 900[label="primMulNat xy3000 xy40010",fontsize=16,color="magenta"];900 -> 905[label="",style="dashed", color="magenta", weight=3]; 901 -> 898[label="",style="dashed", color="red", weight=0]; 901[label="primMulNat xy3000 xy40010",fontsize=16,color="magenta"];901 -> 906[label="",style="dashed", color="magenta", weight=3]; 901 -> 907[label="",style="dashed", color="magenta", weight=3]; 902[label="primMulNat (Succ xy30000) xy40010",fontsize=16,color="burlywood",shape="box"];1186[label="xy40010/Succ xy400100",fontsize=10,color="white",style="solid",shape="box"];902 -> 1186[label="",style="solid", color="burlywood", weight=9]; 1186 -> 908[label="",style="solid", color="burlywood", weight=3]; 1187[label="xy40010/Zero",fontsize=10,color="white",style="solid",shape="box"];902 -> 1187[label="",style="solid", color="burlywood", weight=9]; 1187 -> 909[label="",style="solid", color="burlywood", weight=3]; 903[label="primMulNat Zero xy40010",fontsize=16,color="burlywood",shape="box"];1188[label="xy40010/Succ xy400100",fontsize=10,color="white",style="solid",shape="box"];903 -> 1188[label="",style="solid", color="burlywood", weight=9]; 1188 -> 910[label="",style="solid", color="burlywood", weight=3]; 1189[label="xy40010/Zero",fontsize=10,color="white",style="solid",shape="box"];903 -> 1189[label="",style="solid", color="burlywood", weight=9]; 1189 -> 911[label="",style="solid", color="burlywood", weight=3]; 904[label="xy40010",fontsize=16,color="green",shape="box"];905[label="xy3000",fontsize=16,color="green",shape="box"];906[label="xy3000",fontsize=16,color="green",shape="box"];907[label="xy40010",fontsize=16,color="green",shape="box"];908[label="primMulNat (Succ xy30000) (Succ xy400100)",fontsize=16,color="black",shape="box"];908 -> 912[label="",style="solid", color="black", weight=3]; 909[label="primMulNat (Succ xy30000) Zero",fontsize=16,color="black",shape="box"];909 -> 913[label="",style="solid", color="black", weight=3]; 910[label="primMulNat Zero (Succ xy400100)",fontsize=16,color="black",shape="box"];910 -> 914[label="",style="solid", color="black", weight=3]; 911[label="primMulNat Zero Zero",fontsize=16,color="black",shape="box"];911 -> 915[label="",style="solid", color="black", weight=3]; 912 -> 916[label="",style="dashed", color="red", weight=0]; 912[label="primPlusNat (primMulNat xy30000 (Succ xy400100)) (Succ xy400100)",fontsize=16,color="magenta"];912 -> 917[label="",style="dashed", color="magenta", weight=3]; 913[label="Zero",fontsize=16,color="green",shape="box"];914[label="Zero",fontsize=16,color="green",shape="box"];915[label="Zero",fontsize=16,color="green",shape="box"];917 -> 898[label="",style="dashed", color="red", weight=0]; 917[label="primMulNat xy30000 (Succ xy400100)",fontsize=16,color="magenta"];917 -> 918[label="",style="dashed", color="magenta", weight=3]; 917 -> 919[label="",style="dashed", color="magenta", weight=3]; 916[label="primPlusNat xy32 (Succ xy400100)",fontsize=16,color="burlywood",shape="triangle"];1190[label="xy32/Succ xy320",fontsize=10,color="white",style="solid",shape="box"];916 -> 1190[label="",style="solid", color="burlywood", weight=9]; 1190 -> 920[label="",style="solid", color="burlywood", weight=3]; 1191[label="xy32/Zero",fontsize=10,color="white",style="solid",shape="box"];916 -> 1191[label="",style="solid", color="burlywood", weight=9]; 1191 -> 921[label="",style="solid", color="burlywood", weight=3]; 918[label="xy30000",fontsize=16,color="green",shape="box"];919[label="Succ xy400100",fontsize=16,color="green",shape="box"];920[label="primPlusNat (Succ xy320) (Succ xy400100)",fontsize=16,color="black",shape="box"];920 -> 922[label="",style="solid", color="black", weight=3]; 921[label="primPlusNat Zero (Succ xy400100)",fontsize=16,color="black",shape="box"];921 -> 923[label="",style="solid", color="black", weight=3]; 922[label="Succ (Succ (primPlusNat xy320 xy400100))",fontsize=16,color="green",shape="box"];922 -> 924[label="",style="dashed", color="green", weight=3]; 923[label="Succ xy400100",fontsize=16,color="green",shape="box"];924[label="primPlusNat xy320 xy400100",fontsize=16,color="burlywood",shape="triangle"];1192[label="xy320/Succ xy3200",fontsize=10,color="white",style="solid",shape="box"];924 -> 1192[label="",style="solid", color="burlywood", weight=9]; 1192 -> 925[label="",style="solid", color="burlywood", weight=3]; 1193[label="xy320/Zero",fontsize=10,color="white",style="solid",shape="box"];924 -> 1193[label="",style="solid", color="burlywood", weight=9]; 1193 -> 926[label="",style="solid", color="burlywood", weight=3]; 925[label="primPlusNat (Succ xy3200) xy400100",fontsize=16,color="burlywood",shape="box"];1194[label="xy400100/Succ xy4001000",fontsize=10,color="white",style="solid",shape="box"];925 -> 1194[label="",style="solid", color="burlywood", weight=9]; 1194 -> 927[label="",style="solid", color="burlywood", weight=3]; 1195[label="xy400100/Zero",fontsize=10,color="white",style="solid",shape="box"];925 -> 1195[label="",style="solid", color="burlywood", weight=9]; 1195 -> 928[label="",style="solid", color="burlywood", weight=3]; 926[label="primPlusNat Zero xy400100",fontsize=16,color="burlywood",shape="box"];1196[label="xy400100/Succ xy4001000",fontsize=10,color="white",style="solid",shape="box"];926 -> 1196[label="",style="solid", color="burlywood", weight=9]; 1196 -> 929[label="",style="solid", color="burlywood", weight=3]; 1197[label="xy400100/Zero",fontsize=10,color="white",style="solid",shape="box"];926 -> 1197[label="",style="solid", color="burlywood", weight=9]; 1197 -> 930[label="",style="solid", color="burlywood", weight=3]; 927[label="primPlusNat (Succ xy3200) (Succ xy4001000)",fontsize=16,color="black",shape="box"];927 -> 931[label="",style="solid", color="black", weight=3]; 928[label="primPlusNat (Succ xy3200) Zero",fontsize=16,color="black",shape="box"];928 -> 932[label="",style="solid", color="black", weight=3]; 929[label="primPlusNat Zero (Succ xy4001000)",fontsize=16,color="black",shape="box"];929 -> 933[label="",style="solid", color="black", weight=3]; 930[label="primPlusNat Zero Zero",fontsize=16,color="black",shape="box"];930 -> 934[label="",style="solid", color="black", weight=3]; 931[label="Succ (Succ (primPlusNat xy3200 xy4001000))",fontsize=16,color="green",shape="box"];931 -> 935[label="",style="dashed", color="green", weight=3]; 932[label="Succ xy3200",fontsize=16,color="green",shape="box"];933[label="Succ xy4001000",fontsize=16,color="green",shape="box"];934[label="Zero",fontsize=16,color="green",shape="box"];935 -> 924[label="",style="dashed", color="red", weight=0]; 935[label="primPlusNat xy3200 xy4001000",fontsize=16,color="magenta"];935 -> 936[label="",style="dashed", color="magenta", weight=3]; 935 -> 937[label="",style="dashed", color="magenta", weight=3]; 936[label="xy3200",fontsize=16,color="green",shape="box"];937[label="xy4001000",fontsize=16,color="green",shape="box"];} ---------------------------------------- (8) Complex Obligation (AND) ---------------------------------------- (9) Obligation: Q DP problem: The TRS P consists of the following rules: new_primMulNat(Succ(xy30000), Succ(xy400100)) -> new_primMulNat(xy30000, Succ(xy400100)) R is empty. Q is empty. We have to consider all minimal (P,Q,R)-chains. ---------------------------------------- (10) QDPSizeChangeProof (EQUIVALENT) By using the subterm criterion [SUBTERM_CRITERION] together with the size-change analysis [AAECC05] we have proven that there are no infinite chains for this DP problem. From the DPs we obtained the following set of size-change graphs: *new_primMulNat(Succ(xy30000), Succ(xy400100)) -> new_primMulNat(xy30000, Succ(xy400100)) The graph contains the following edges 1 > 1, 2 >= 2 ---------------------------------------- (11) YES ---------------------------------------- (12) Obligation: Q DP problem: The TRS P consists of the following rules: new_esEs1(Left(xy300), Left(xy4000), app(app(ty_Either, gg), gh), ge) -> new_esEs1(xy300, xy4000, gg, gh) new_esEs2(:(xy310, xy311), :(xy4010, xy4011), bbb) -> new_esEs2(xy311, xy4011, bbb) new_esEs3(@2(xy300, xy301), @2(xy4000, xy4001), app(app(ty_Either, bbg), bbh), bba) -> new_esEs1(xy300, xy4000, bbg, bbh) new_esEs3(@2(xy300, xy301), @2(xy4000, xy4001), bah, app(app(ty_Either, bch), bda)) -> new_esEs1(xy301, xy4001, bch, bda) new_esEs(@3(xy300, xy301, xy302), @3(xy4000, xy4001, xy4002), cd, bd, app(app(ty_@2, ef), eg)) -> new_esEs3(xy302, xy4002, ef, eg) new_esEs(@3(xy300, xy301, xy302), @3(xy4000, xy4001, xy4002), app(app(ty_@2, cb), cc), bd, be) -> new_esEs3(xy300, xy4000, cb, cc) new_esEs(@3(xy300, xy301, xy302), @3(xy4000, xy4001, xy4002), cd, bd, app(app(app(ty_@3, dg), dh), ea)) -> new_esEs(xy302, xy4002, dg, dh, ea) new_esEs3(@2(xy300, xy301), @2(xy4000, xy4001), app(ty_Maybe, bbf), bba) -> new_esEs0(xy300, xy4000, bbf) new_esEs2(:(xy310, xy311), :(xy4010, xy4011), app(app(app(ty_@3, cd), bd), be)) -> new_esEs(xy310, xy4010, cd, bd, be) new_esEs3(@2(xy300, xy301), @2(xy4000, xy4001), bah, app(ty_Maybe, bcg)) -> new_esEs0(xy301, xy4001, bcg) new_esEs1(Right(xy300), Right(xy4000), hd, app(app(ty_@2, bad), bae)) -> new_esEs3(xy300, xy4000, bad, bae) new_esEs(@3(xy300, xy301, xy302), @3(xy4000, xy4001, xy4002), app(ty_Maybe, bf), bd, be) -> new_esEs0(xy300, xy4000, bf) new_esEs(@3(xy300, xy301, xy302), @3(xy4000, xy4001, xy4002), app(ty_[], ca), bd, be) -> new_esEs2(xy300, xy4000, ca) new_esEs1(Right(xy300), Right(xy4000), hd, app(ty_[], bac)) -> new_esEs2(xy300, xy4000, bac) new_esEs(@3(xy300, xy301, xy302), @3(xy4000, xy4001, xy4002), cd, app(ty_Maybe, da), be) -> new_esEs0(xy301, xy4001, da) new_esEs(@3(xy300, xy301, xy302), @3(xy4000, xy4001, xy4002), cd, app(ty_[], dd), be) -> new_esEs2(xy301, xy4001, dd) new_esEs2(:(xy310, xy311), :(xy4010, xy4011), app(app(ty_@2, bah), bba)) -> new_esEs3(xy310, xy4010, bah, bba) new_esEs3(@2(xy300, xy301), @2(xy4000, xy4001), bah, app(app(app(ty_@3, bcd), bce), bcf)) -> new_esEs(xy301, xy4001, bcd, bce, bcf) new_esEs3(@2(xy300, xy301), @2(xy4000, xy4001), bah, app(app(ty_@2, bdc), bdd)) -> new_esEs3(xy301, xy4001, bdc, bdd) new_esEs(@3(xy300, xy301, xy302), @3(xy4000, xy4001, xy4002), cd, app(app(app(ty_@3, ce), cf), cg), be) -> new_esEs(xy301, xy4001, ce, cf, cg) new_esEs1(Left(xy300), Left(xy4000), app(app(app(ty_@3, gb), gc), gd), ge) -> new_esEs(xy300, xy4000, gb, gc, gd) new_esEs(@3(xy300, xy301, xy302), @3(xy4000, xy4001, xy4002), cd, bd, app(ty_Maybe, eb)) -> new_esEs0(xy302, xy4002, eb) new_esEs(@3(xy300, xy301, xy302), @3(xy4000, xy4001, xy4002), cd, bd, app(ty_[], ee)) -> new_esEs2(xy302, xy4002, ee) new_esEs1(Right(xy300), Right(xy4000), hd, app(ty_Maybe, hh)) -> new_esEs0(xy300, xy4000, hh) new_esEs(@3(xy300, xy301, xy302), @3(xy4000, xy4001, xy4002), cd, app(app(ty_Either, db), dc), be) -> new_esEs1(xy301, xy4001, db, dc) new_esEs(@3(xy300, xy301, xy302), @3(xy4000, xy4001, xy4002), cd, bd, app(app(ty_Either, ec), ed)) -> new_esEs1(xy302, xy4002, ec, ed) new_esEs(@3(xy300, xy301, xy302), @3(xy4000, xy4001, xy4002), app(app(ty_Either, bg), bh), bd, be) -> new_esEs1(xy300, xy4000, bg, bh) new_esEs2(:(xy310, xy311), :(xy4010, xy4011), app(app(ty_Either, hd), ge)) -> new_esEs1(xy310, xy4010, hd, ge) new_esEs3(@2(xy300, xy301), @2(xy4000, xy4001), app(ty_[], bca), bba) -> new_esEs2(xy300, xy4000, bca) new_esEs3(@2(xy300, xy301), @2(xy4000, xy4001), app(app(app(ty_@3, bbc), bbd), bbe), bba) -> new_esEs(xy300, xy4000, bbc, bbd, bbe) new_esEs3(@2(xy300, xy301), @2(xy4000, xy4001), app(app(ty_@2, bcb), bcc), bba) -> new_esEs3(xy300, xy4000, bcb, bcc) new_esEs(@3(xy300, xy301, xy302), @3(xy4000, xy4001, xy4002), app(app(app(ty_@3, ba), bb), bc), bd, be) -> new_esEs(xy300, xy4000, ba, bb, bc) new_esEs3(@2(xy300, xy301), @2(xy4000, xy4001), bah, app(ty_[], bdb)) -> new_esEs2(xy301, xy4001, bdb) new_esEs2(:(xy310, xy311), :(xy4010, xy4011), app(ty_Maybe, baf)) -> new_esEs0(xy310, xy4010, baf) new_esEs2(:(xy310, xy311), :(xy4010, xy4011), app(ty_[], bag)) -> new_esEs2(xy310, xy4010, bag) new_esEs0(Just(xy300), Just(xy4000), app(app(ty_Either, fd), ff)) -> new_esEs1(xy300, xy4000, fd, ff) new_esEs0(Just(xy300), Just(xy4000), app(ty_[], fg)) -> new_esEs2(xy300, xy4000, fg) new_esEs1(Right(xy300), Right(xy4000), hd, app(app(app(ty_@3, he), hf), hg)) -> new_esEs(xy300, xy4000, he, hf, hg) new_esEs0(Just(xy300), Just(xy4000), app(app(ty_@2, fh), ga)) -> new_esEs3(xy300, xy4000, fh, ga) new_esEs0(Just(xy300), Just(xy4000), app(ty_Maybe, fc)) -> new_esEs0(xy300, xy4000, fc) new_esEs1(Left(xy300), Left(xy4000), app(ty_Maybe, gf), ge) -> new_esEs0(xy300, xy4000, gf) new_esEs1(Left(xy300), Left(xy4000), app(ty_[], ha), ge) -> new_esEs2(xy300, xy4000, ha) new_esEs(@3(xy300, xy301, xy302), @3(xy4000, xy4001, xy4002), cd, app(app(ty_@2, de), df), be) -> new_esEs3(xy301, xy4001, de, df) new_esEs1(Right(xy300), Right(xy4000), hd, app(app(ty_Either, baa), bab)) -> new_esEs1(xy300, xy4000, baa, bab) new_esEs0(Just(xy300), Just(xy4000), app(app(app(ty_@3, eh), fa), fb)) -> new_esEs(xy300, xy4000, eh, fa, fb) new_esEs1(Left(xy300), Left(xy4000), app(app(ty_@2, hb), hc), ge) -> new_esEs3(xy300, xy4000, hb, hc) R is empty. Q is empty. We have to consider all minimal (P,Q,R)-chains. ---------------------------------------- (13) QDPSizeChangeProof (EQUIVALENT) By using the subterm criterion [SUBTERM_CRITERION] together with the size-change analysis [AAECC05] we have proven that there are no infinite chains for this DP problem. From the DPs we obtained the following set of size-change graphs: *new_esEs2(:(xy310, xy311), :(xy4010, xy4011), app(app(ty_Either, hd), ge)) -> new_esEs1(xy310, xy4010, hd, ge) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs2(:(xy310, xy311), :(xy4010, xy4011), app(app(ty_@2, bah), bba)) -> new_esEs3(xy310, xy4010, bah, bba) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs2(:(xy310, xy311), :(xy4010, xy4011), app(app(app(ty_@3, cd), bd), be)) -> new_esEs(xy310, xy4010, cd, bd, be) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 *new_esEs2(:(xy310, xy311), :(xy4010, xy4011), app(ty_Maybe, baf)) -> new_esEs0(xy310, xy4010, baf) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs0(Just(xy300), Just(xy4000), app(app(ty_Either, fd), ff)) -> new_esEs1(xy300, xy4000, fd, ff) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs0(Just(xy300), Just(xy4000), app(ty_[], fg)) -> new_esEs2(xy300, xy4000, fg) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs0(Just(xy300), Just(xy4000), app(app(ty_@2, fh), ga)) -> new_esEs3(xy300, xy4000, fh, ga) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs0(Just(xy300), Just(xy4000), app(app(app(ty_@3, eh), fa), fb)) -> new_esEs(xy300, xy4000, eh, fa, fb) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 *new_esEs0(Just(xy300), Just(xy4000), app(ty_Maybe, fc)) -> new_esEs0(xy300, xy4000, fc) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs1(Left(xy300), Left(xy4000), app(app(ty_Either, gg), gh), ge) -> new_esEs1(xy300, xy4000, gg, gh) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs1(Right(xy300), Right(xy4000), hd, app(app(ty_Either, baa), bab)) -> new_esEs1(xy300, xy4000, baa, bab) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 *new_esEs1(Right(xy300), Right(xy4000), hd, app(ty_[], bac)) -> new_esEs2(xy300, xy4000, bac) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 *new_esEs1(Left(xy300), Left(xy4000), app(ty_[], ha), ge) -> new_esEs2(xy300, xy4000, ha) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs1(Right(xy300), Right(xy4000), hd, app(app(ty_@2, bad), bae)) -> new_esEs3(xy300, xy4000, bad, bae) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 *new_esEs1(Left(xy300), Left(xy4000), app(app(ty_@2, hb), hc), ge) -> new_esEs3(xy300, xy4000, hb, hc) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs1(Left(xy300), Left(xy4000), app(app(app(ty_@3, gb), gc), gd), ge) -> new_esEs(xy300, xy4000, gb, gc, gd) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 *new_esEs1(Right(xy300), Right(xy4000), hd, app(app(app(ty_@3, he), hf), hg)) -> new_esEs(xy300, xy4000, he, hf, hg) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4, 4 > 5 *new_esEs1(Right(xy300), Right(xy4000), hd, app(ty_Maybe, hh)) -> new_esEs0(xy300, xy4000, hh) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 *new_esEs1(Left(xy300), Left(xy4000), app(ty_Maybe, gf), ge) -> new_esEs0(xy300, xy4000, gf) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs3(@2(xy300, xy301), @2(xy4000, xy4001), app(app(ty_Either, bbg), bbh), bba) -> new_esEs1(xy300, xy4000, bbg, bbh) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs3(@2(xy300, xy301), @2(xy4000, xy4001), bah, app(app(ty_Either, bch), bda)) -> new_esEs1(xy301, xy4001, bch, bda) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 *new_esEs(@3(xy300, xy301, xy302), @3(xy4000, xy4001, xy4002), cd, app(app(ty_Either, db), dc), be) -> new_esEs1(xy301, xy4001, db, dc) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 *new_esEs(@3(xy300, xy301, xy302), @3(xy4000, xy4001, xy4002), cd, bd, app(app(ty_Either, ec), ed)) -> new_esEs1(xy302, xy4002, ec, ed) The graph contains the following edges 1 > 1, 2 > 2, 5 > 3, 5 > 4 *new_esEs(@3(xy300, xy301, xy302), @3(xy4000, xy4001, xy4002), app(app(ty_Either, bg), bh), bd, be) -> new_esEs1(xy300, xy4000, bg, bh) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs2(:(xy310, xy311), :(xy4010, xy4011), bbb) -> new_esEs2(xy311, xy4011, bbb) The graph contains the following edges 1 > 1, 2 > 2, 3 >= 3 *new_esEs2(:(xy310, xy311), :(xy4010, xy4011), app(ty_[], bag)) -> new_esEs2(xy310, xy4010, bag) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs3(@2(xy300, xy301), @2(xy4000, xy4001), app(ty_[], bca), bba) -> new_esEs2(xy300, xy4000, bca) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs3(@2(xy300, xy301), @2(xy4000, xy4001), bah, app(ty_[], bdb)) -> new_esEs2(xy301, xy4001, bdb) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 *new_esEs(@3(xy300, xy301, xy302), @3(xy4000, xy4001, xy4002), app(ty_[], ca), bd, be) -> new_esEs2(xy300, xy4000, ca) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs(@3(xy300, xy301, xy302), @3(xy4000, xy4001, xy4002), cd, app(ty_[], dd), be) -> new_esEs2(xy301, xy4001, dd) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 *new_esEs(@3(xy300, xy301, xy302), @3(xy4000, xy4001, xy4002), cd, bd, app(ty_[], ee)) -> new_esEs2(xy302, xy4002, ee) The graph contains the following edges 1 > 1, 2 > 2, 5 > 3 *new_esEs3(@2(xy300, xy301), @2(xy4000, xy4001), bah, app(app(ty_@2, bdc), bdd)) -> new_esEs3(xy301, xy4001, bdc, bdd) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 *new_esEs3(@2(xy300, xy301), @2(xy4000, xy4001), app(app(ty_@2, bcb), bcc), bba) -> new_esEs3(xy300, xy4000, bcb, bcc) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs(@3(xy300, xy301, xy302), @3(xy4000, xy4001, xy4002), cd, bd, app(app(ty_@2, ef), eg)) -> new_esEs3(xy302, xy4002, ef, eg) The graph contains the following edges 1 > 1, 2 > 2, 5 > 3, 5 > 4 *new_esEs(@3(xy300, xy301, xy302), @3(xy4000, xy4001, xy4002), app(app(ty_@2, cb), cc), bd, be) -> new_esEs3(xy300, xy4000, cb, cc) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs(@3(xy300, xy301, xy302), @3(xy4000, xy4001, xy4002), cd, app(app(ty_@2, de), df), be) -> new_esEs3(xy301, xy4001, de, df) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 *new_esEs3(@2(xy300, xy301), @2(xy4000, xy4001), bah, app(app(app(ty_@3, bcd), bce), bcf)) -> new_esEs(xy301, xy4001, bcd, bce, bcf) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4, 4 > 5 *new_esEs3(@2(xy300, xy301), @2(xy4000, xy4001), app(app(app(ty_@3, bbc), bbd), bbe), bba) -> new_esEs(xy300, xy4000, bbc, bbd, bbe) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 *new_esEs3(@2(xy300, xy301), @2(xy4000, xy4001), app(ty_Maybe, bbf), bba) -> new_esEs0(xy300, xy4000, bbf) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs3(@2(xy300, xy301), @2(xy4000, xy4001), bah, app(ty_Maybe, bcg)) -> new_esEs0(xy301, xy4001, bcg) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 *new_esEs(@3(xy300, xy301, xy302), @3(xy4000, xy4001, xy4002), cd, bd, app(app(app(ty_@3, dg), dh), ea)) -> new_esEs(xy302, xy4002, dg, dh, ea) The graph contains the following edges 1 > 1, 2 > 2, 5 > 3, 5 > 4, 5 > 5 *new_esEs(@3(xy300, xy301, xy302), @3(xy4000, xy4001, xy4002), cd, app(app(app(ty_@3, ce), cf), cg), be) -> new_esEs(xy301, xy4001, ce, cf, cg) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4, 4 > 5 *new_esEs(@3(xy300, xy301, xy302), @3(xy4000, xy4001, xy4002), app(app(app(ty_@3, ba), bb), bc), bd, be) -> new_esEs(xy300, xy4000, ba, bb, bc) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 *new_esEs(@3(xy300, xy301, xy302), @3(xy4000, xy4001, xy4002), app(ty_Maybe, bf), bd, be) -> new_esEs0(xy300, xy4000, bf) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs(@3(xy300, xy301, xy302), @3(xy4000, xy4001, xy4002), cd, app(ty_Maybe, da), be) -> new_esEs0(xy301, xy4001, da) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 *new_esEs(@3(xy300, xy301, xy302), @3(xy4000, xy4001, xy4002), cd, bd, app(ty_Maybe, eb)) -> new_esEs0(xy302, xy4002, eb) The graph contains the following edges 1 > 1, 2 > 2, 5 > 3 ---------------------------------------- (14) YES ---------------------------------------- (15) Obligation: Q DP problem: The TRS P consists of the following rules: new_deleteBy0(xy12, xy13, xy14, xy15, xy16, False, ba) -> new_deleteBy(:(xy15, xy16), xy12, ba) 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) new_deleteBy(:(xy30, xy31), :([], xy41), bb) -> new_deleteBy(:(xy30, xy31), xy41, bb) new_deleteBy([], :(:(xy400, xy401), xy41), bb) -> new_deleteBy([], xy41, bb) The TRS R consists of the following rules: new_esEs26(xy310, xy4010, ty_Float) -> new_esEs9(xy310, xy4010) new_esEs20(xy301, xy4001, ty_Int) -> new_esEs12(xy301, xy4001) new_esEs13(Left(xy300), Left(xy4000), ty_Char, bca) -> new_esEs14(xy300, xy4000) new_esEs4(xy30, xy400, ty_Ordering) -> new_esEs17(xy30, xy400) new_primEqInt(Pos(Zero), Pos(Zero)) -> True new_esEs6(Just(xy300), Just(xy4000), ty_Bool) -> new_esEs7(xy300, xy4000) new_esEs20(xy301, xy4001, ty_Integer) -> new_esEs15(xy301, xy4001) new_esEs4(xy30, xy400, app(ty_Maybe, bc)) -> new_esEs6(xy30, xy400, bc) new_esEs19(xy300, xy4000, ty_Bool) -> new_esEs7(xy300, xy4000) new_esEs18(@2(xy300, xy301), @2(xy4000, xy4001), hb, hc) -> new_asAs(new_esEs24(xy300, xy4000, hb), new_esEs25(xy301, xy4001, hc)) new_esEs25(xy301, xy4001, ty_Bool) -> new_esEs7(xy301, xy4001) new_esEs10(@3(xy300, xy301, xy302), @3(xy4000, xy4001, xy4002), cf, cg, da) -> new_asAs(new_esEs19(xy300, xy4000, cf), new_asAs(new_esEs20(xy301, xy4001, cg), new_esEs21(xy302, xy4002, da))) new_esEs4(xy30, xy400, app(app(ty_Either, bbh), bca)) -> new_esEs13(xy30, xy400, bbh, bca) new_esEs25(xy301, xy4001, ty_Ordering) -> new_esEs17(xy301, xy4001) new_esEs16(Double(xy300, xy301), Double(xy4000, xy4001)) -> new_esEs12(new_sr(xy300, xy4001), new_sr(xy301, xy4000)) new_esEs22(xy300, xy4000, ty_Integer) -> new_esEs15(xy300, xy4000) new_esEs14(Char(xy300), Char(xy4000)) -> new_primEqNat0(xy300, xy4000) new_esEs22(xy300, xy4000, ty_Int) -> new_esEs12(xy300, xy4000) new_esEs24(xy300, xy4000, ty_@0) -> new_esEs11(xy300, xy4000) new_esEs5([], [], bb) -> True new_esEs26(xy310, xy4010, app(ty_Ratio, ha)) -> new_esEs8(xy310, xy4010, ha) new_esEs25(xy301, xy4001, app(app(ty_Either, bbc), bbd)) -> new_esEs13(xy301, xy4001, bbc, bbd) new_esEs15(Integer(xy300), Integer(xy4000)) -> new_primEqInt(xy300, xy4000) new_esEs13(Left(xy300), Right(xy4000), bbh, bca) -> False new_esEs13(Right(xy300), Left(xy4000), bbh, bca) -> False new_esEs19(xy300, xy4000, ty_Ordering) -> new_esEs17(xy300, xy4000) new_esEs20(xy301, xy4001, app(ty_[], fc)) -> new_esEs5(xy301, xy4001, fc) new_esEs6(Just(xy300), Just(xy4000), app(app(app(ty_@3, be), bf), bg)) -> new_esEs10(xy300, xy4000, be, bf, bg) new_asAs(True, xy31) -> xy31 new_esEs13(Right(xy300), Right(xy4000), bbh, ty_Double) -> new_esEs16(xy300, xy4000) new_esEs21(xy302, xy4002, app(ty_Maybe, gc)) -> new_esEs6(xy302, xy4002, gc) new_esEs6(Just(xy300), Just(xy4000), app(app(ty_Either, ca), cb)) -> new_esEs13(xy300, xy4000, ca, cb) new_esEs25(xy301, xy4001, app(ty_[], bbe)) -> new_esEs5(xy301, xy4001, bbe) new_esEs26(xy310, xy4010, app(app(ty_@2, hb), hc)) -> new_esEs18(xy310, xy4010, hb, hc) new_esEs13(Left(xy300), Left(xy4000), app(ty_Ratio, bcc), bca) -> new_esEs8(xy300, xy4000, bcc) new_esEs13(Left(xy300), Left(xy4000), ty_Float, bca) -> new_esEs9(xy300, xy4000) new_esEs26(xy310, xy4010, ty_Char) -> new_esEs14(xy310, xy4010) new_primEqInt(Pos(Succ(xy3000)), Pos(Zero)) -> False new_primEqInt(Pos(Zero), Pos(Succ(xy40000))) -> False new_esEs17(LT, LT) -> True new_esEs19(xy300, xy4000, ty_Int) -> new_esEs12(xy300, xy4000) new_esEs19(xy300, xy4000, app(app(ty_Either, dg), dh)) -> new_esEs13(xy300, xy4000, dg, dh) new_esEs8(:%(xy300, xy301), :%(xy4000, xy4001), ha) -> new_asAs(new_esEs22(xy300, xy4000, ha), new_esEs23(xy301, xy4001, ha)) new_esEs4(xy30, xy400, app(ty_[], bcb)) -> new_esEs5(xy30, xy400, bcb) new_esEs21(xy302, xy4002, ty_Double) -> new_esEs16(xy302, xy4002) new_esEs19(xy300, xy4000, app(ty_[], ea)) -> new_esEs5(xy300, xy4000, ea) new_esEs24(xy300, xy4000, ty_Integer) -> new_esEs15(xy300, xy4000) new_esEs13(Right(xy300), Right(xy4000), bbh, app(app(ty_@2, bee), bef)) -> new_esEs18(xy300, xy4000, bee, bef) new_primEqNat0(Succ(xy3000), Succ(xy40000)) -> new_primEqNat0(xy3000, xy40000) new_esEs4(xy30, xy400, app(app(app(ty_@3, cf), cg), da)) -> new_esEs10(xy30, xy400, cf, cg, da) new_esEs13(Right(xy300), Right(xy4000), bbh, ty_Char) -> new_esEs14(xy300, xy4000) new_esEs25(xy301, xy4001, app(app(app(ty_@3, bag), bah), bba)) -> new_esEs10(xy301, xy4001, bag, bah, bba) new_esEs19(xy300, xy4000, app(app(app(ty_@3, dc), dd), de)) -> new_esEs10(xy300, xy4000, dc, dd, de) new_esEs13(Left(xy300), Left(xy4000), app(ty_[], bdb), bca) -> new_esEs5(xy300, xy4000, bdb) new_esEs25(xy301, xy4001, ty_Integer) -> new_esEs15(xy301, xy4001) new_primMulNat0(Zero, Zero) -> Zero new_esEs21(xy302, xy4002, ty_Float) -> new_esEs9(xy302, xy4002) new_esEs6(Just(xy300), Just(xy4000), ty_Int) -> new_esEs12(xy300, xy4000) new_esEs13(Right(xy300), Right(xy4000), bbh, ty_Bool) -> new_esEs7(xy300, xy4000) new_esEs21(xy302, xy4002, app(ty_Ratio, fg)) -> new_esEs8(xy302, xy4002, fg) new_esEs13(Right(xy300), Right(xy4000), bbh, app(ty_[], bed)) -> new_esEs5(xy300, xy4000, bed) new_esEs26(xy310, xy4010, ty_Integer) -> new_esEs15(xy310, xy4010) new_esEs21(xy302, xy4002, ty_Bool) -> new_esEs7(xy302, xy4002) new_esEs24(xy300, xy4000, app(app(ty_@2, bad), bae)) -> new_esEs18(xy300, xy4000, bad, bae) new_esEs25(xy301, xy4001, ty_Int) -> new_esEs12(xy301, xy4001) new_esEs20(xy301, xy4001, ty_Ordering) -> new_esEs17(xy301, xy4001) new_esEs13(Right(xy300), Right(xy4000), bbh, ty_Float) -> new_esEs9(xy300, xy4000) new_esEs20(xy301, xy4001, ty_Float) -> new_esEs9(xy301, xy4001) new_esEs13(Left(xy300), Left(xy4000), app(app(ty_Either, bch), bda), bca) -> new_esEs13(xy300, xy4000, bch, bda) new_primEqNat0(Succ(xy3000), Zero) -> False new_primEqNat0(Zero, Succ(xy40000)) -> False new_esEs19(xy300, xy4000, ty_Integer) -> new_esEs15(xy300, xy4000) new_esEs24(xy300, xy4000, app(ty_[], bac)) -> new_esEs5(xy300, xy4000, bac) new_esEs6(Just(xy300), Just(xy4000), ty_Double) -> new_esEs16(xy300, xy4000) new_esEs26(xy310, xy4010, app(ty_Maybe, bc)) -> new_esEs6(xy310, xy4010, bc) new_esEs21(xy302, xy4002, ty_Ordering) -> new_esEs17(xy302, xy4002) new_esEs13(Left(xy300), Left(xy4000), ty_Ordering, bca) -> new_esEs17(xy300, xy4000) new_esEs25(xy301, xy4001, app(app(ty_@2, bbf), bbg)) -> new_esEs18(xy301, xy4001, bbf, bbg) new_esEs6(Just(xy300), Just(xy4000), ty_@0) -> new_esEs11(xy300, xy4000) new_esEs6(Just(xy300), Just(xy4000), app(ty_[], cc)) -> new_esEs5(xy300, xy4000, cc) new_esEs17(EQ, GT) -> False new_esEs17(GT, EQ) -> False new_esEs7(False, False) -> True new_esEs13(Left(xy300), Left(xy4000), ty_Bool, bca) -> new_esEs7(xy300, xy4000) new_esEs26(xy310, xy4010, ty_Ordering) -> new_esEs17(xy310, xy4010) new_esEs13(Left(xy300), Left(xy4000), ty_Integer, bca) -> new_esEs15(xy300, xy4000) new_esEs17(GT, GT) -> True new_primEqInt(Neg(Succ(xy3000)), Neg(Zero)) -> False new_primEqInt(Neg(Zero), Neg(Succ(xy40000))) -> False new_esEs25(xy301, xy4001, app(ty_Maybe, bbb)) -> new_esEs6(xy301, xy4001, bbb) new_esEs13(Left(xy300), Left(xy4000), app(app(ty_@2, bdc), bdd), bca) -> new_esEs18(xy300, xy4000, bdc, bdd) new_esEs26(xy310, xy4010, app(app(app(ty_@3, cf), cg), da)) -> new_esEs10(xy310, xy4010, cf, cg, da) new_primEqInt(Pos(Succ(xy3000)), Pos(Succ(xy40000))) -> new_primEqNat0(xy3000, xy40000) new_sr(Pos(xy3000), Neg(xy40010)) -> Neg(new_primMulNat0(xy3000, xy40010)) new_sr(Neg(xy3000), Pos(xy40010)) -> Neg(new_primMulNat0(xy3000, xy40010)) new_esEs24(xy300, xy4000, ty_Char) -> new_esEs14(xy300, xy4000) new_primPlusNat1(Succ(xy3200), Succ(xy4001000)) -> Succ(Succ(new_primPlusNat1(xy3200, xy4001000))) new_esEs20(xy301, xy4001, app(ty_Maybe, eh)) -> new_esEs6(xy301, xy4001, eh) new_esEs4(xy30, xy400, ty_Double) -> new_esEs16(xy30, xy400) new_primEqInt(Pos(Succ(xy3000)), Neg(xy4000)) -> False new_primEqInt(Neg(Succ(xy3000)), Pos(xy4000)) -> False new_esEs13(Right(xy300), Right(xy4000), bbh, ty_Ordering) -> new_esEs17(xy300, xy4000) new_esEs19(xy300, xy4000, app(ty_Maybe, df)) -> new_esEs6(xy300, xy4000, df) new_esEs13(Right(xy300), Right(xy4000), bbh, ty_Integer) -> new_esEs15(xy300, xy4000) new_esEs20(xy301, xy4001, ty_Bool) -> new_esEs7(xy301, xy4001) new_esEs21(xy302, xy4002, app(app(app(ty_@3, fh), ga), gb)) -> new_esEs10(xy302, xy4002, fh, ga, gb) new_esEs24(xy300, xy4000, app(app(ty_Either, baa), bab)) -> new_esEs13(xy300, xy4000, baa, bab) new_esEs24(xy300, xy4000, ty_Int) -> new_esEs12(xy300, xy4000) new_esEs13(Right(xy300), Right(xy4000), bbh, ty_Int) -> new_esEs12(xy300, xy4000) new_esEs19(xy300, xy4000, ty_Float) -> new_esEs9(xy300, xy4000) new_esEs24(xy300, xy4000, ty_Ordering) -> new_esEs17(xy300, xy4000) new_esEs6(Just(xy300), Just(xy4000), app(ty_Ratio, bd)) -> new_esEs8(xy300, xy4000, bd) new_esEs13(Right(xy300), Right(xy4000), bbh, app(ty_Maybe, bea)) -> new_esEs6(xy300, xy4000, bea) new_esEs21(xy302, xy4002, ty_Integer) -> new_esEs15(xy302, xy4002) new_esEs7(False, True) -> False new_esEs7(True, False) -> False new_esEs12(xy30, xy400) -> new_primEqInt(xy30, xy400) new_esEs21(xy302, xy4002, ty_Int) -> new_esEs12(xy302, xy4002) new_esEs19(xy300, xy4000, app(ty_Ratio, db)) -> new_esEs8(xy300, xy4000, db) new_esEs13(Left(xy300), Left(xy4000), app(ty_Maybe, bcg), bca) -> new_esEs6(xy300, xy4000, bcg) new_sr(Neg(xy3000), Neg(xy40010)) -> Pos(new_primMulNat0(xy3000, xy40010)) new_esEs25(xy301, xy4001, app(ty_Ratio, baf)) -> new_esEs8(xy301, xy4001, baf) new_esEs4(xy30, xy400, ty_@0) -> new_esEs11(xy30, xy400) new_esEs19(xy300, xy4000, ty_Char) -> new_esEs14(xy300, xy4000) new_primEqInt(Pos(Zero), Neg(Succ(xy40000))) -> False new_primEqInt(Neg(Zero), Pos(Succ(xy40000))) -> False new_esEs19(xy300, xy4000, app(app(ty_@2, eb), ec)) -> new_esEs18(xy300, xy4000, eb, ec) new_esEs6(Just(xy300), Just(xy4000), ty_Float) -> new_esEs9(xy300, xy4000) new_esEs26(xy310, xy4010, ty_Bool) -> new_esEs7(xy310, xy4010) new_esEs4(xy30, xy400, ty_Float) -> new_esEs9(xy30, xy400) new_esEs25(xy301, xy4001, ty_@0) -> new_esEs11(xy301, xy4001) new_esEs17(EQ, EQ) -> True new_esEs5(:(xy310, xy311), :(xy4010, xy4011), bb) -> new_asAs(new_esEs26(xy310, xy4010, bb), new_esEs5(xy311, xy4011, bb)) new_esEs24(xy300, xy4000, ty_Double) -> new_esEs16(xy300, xy4000) new_esEs25(xy301, xy4001, ty_Char) -> new_esEs14(xy301, xy4001) new_primEqInt(Neg(Succ(xy3000)), Neg(Succ(xy40000))) -> new_primEqNat0(xy3000, xy40000) new_esEs17(LT, EQ) -> False new_esEs17(EQ, LT) -> False new_esEs23(xy301, xy4001, ty_Int) -> new_esEs12(xy301, xy4001) new_esEs13(Left(xy300), Left(xy4000), ty_Int, bca) -> new_esEs12(xy300, xy4000) new_esEs20(xy301, xy4001, app(app(ty_@2, fd), ff)) -> new_esEs18(xy301, xy4001, fd, ff) new_primPlusNat0(Succ(xy320), xy400100) -> Succ(Succ(new_primPlusNat1(xy320, xy400100))) new_esEs4(xy30, xy400, app(ty_Ratio, ha)) -> new_esEs8(xy30, xy400, ha) new_esEs20(xy301, xy4001, app(app(app(ty_@3, ee), ef), eg)) -> new_esEs10(xy301, xy4001, ee, ef, eg) new_esEs19(xy300, xy4000, ty_@0) -> new_esEs11(xy300, xy4000) new_esEs24(xy300, xy4000, app(ty_Maybe, hh)) -> new_esEs6(xy300, xy4000, hh) new_primPlusNat1(Zero, Zero) -> Zero new_esEs20(xy301, xy4001, ty_Char) -> new_esEs14(xy301, xy4001) new_primMulNat0(Succ(xy30000), Zero) -> Zero new_primMulNat0(Zero, Succ(xy400100)) -> Zero new_esEs26(xy310, xy4010, ty_Double) -> new_esEs16(xy310, xy4010) new_sr(Pos(xy3000), Pos(xy40010)) -> Pos(new_primMulNat0(xy3000, xy40010)) new_esEs25(xy301, xy4001, ty_Float) -> new_esEs9(xy301, xy4001) new_primPlusNat0(Zero, xy400100) -> Succ(xy400100) new_esEs13(Right(xy300), Right(xy4000), bbh, app(app(ty_Either, beb), bec)) -> new_esEs13(xy300, xy4000, beb, bec) new_esEs6(Just(xy300), Just(xy4000), app(app(ty_@2, cd), ce)) -> new_esEs18(xy300, xy4000, cd, ce) new_esEs20(xy301, xy4001, app(ty_Ratio, ed)) -> new_esEs8(xy301, xy4001, ed) new_esEs20(xy301, xy4001, app(app(ty_Either, fa), fb)) -> new_esEs13(xy301, xy4001, fa, fb) new_esEs24(xy300, xy4000, ty_Bool) -> new_esEs7(xy300, xy4000) new_esEs17(LT, GT) -> False new_esEs17(GT, LT) -> False new_esEs6(Just(xy300), Just(xy4000), ty_Char) -> new_esEs14(xy300, xy4000) new_primEqInt(Neg(Zero), Neg(Zero)) -> True new_primMulNat0(Succ(xy30000), Succ(xy400100)) -> new_primPlusNat0(new_primMulNat0(xy30000, Succ(xy400100)), xy400100) new_esEs19(xy300, xy4000, ty_Double) -> new_esEs16(xy300, xy4000) new_esEs13(Left(xy300), Left(xy4000), ty_@0, bca) -> new_esEs11(xy300, xy4000) new_esEs4(xy30, xy400, ty_Int) -> new_esEs12(xy30, xy400) new_esEs26(xy310, xy4010, ty_Int) -> new_esEs12(xy310, xy4010) new_primPlusNat1(Succ(xy3200), Zero) -> Succ(xy3200) new_primPlusNat1(Zero, Succ(xy4001000)) -> Succ(xy4001000) new_esEs4(xy30, xy400, ty_Char) -> new_esEs14(xy30, xy400) new_esEs4(xy30, xy400, app(app(ty_@2, hb), hc)) -> new_esEs18(xy30, xy400, hb, hc) new_esEs4(xy30, xy400, ty_Integer) -> new_esEs15(xy30, xy400) new_primEqInt(Pos(Zero), Neg(Zero)) -> True new_primEqInt(Neg(Zero), Pos(Zero)) -> True new_esEs20(xy301, xy4001, ty_@0) -> new_esEs11(xy301, xy4001) new_esEs21(xy302, xy4002, app(app(ty_@2, gg), gh)) -> new_esEs18(xy302, xy4002, gg, gh) new_esEs11(@0, @0) -> True new_esEs26(xy310, xy4010, app(app(ty_Either, bbh), bca)) -> new_esEs13(xy310, xy4010, bbh, bca) new_esEs13(Left(xy300), Left(xy4000), app(app(app(ty_@3, bcd), bce), bcf), bca) -> new_esEs10(xy300, xy4000, bcd, bce, bcf) new_esEs23(xy301, xy4001, ty_Integer) -> new_esEs15(xy301, xy4001) new_esEs5(:(xy310, xy311), [], bb) -> False new_esEs5([], :(xy4010, xy4011), bb) -> False new_primEqNat0(Zero, Zero) -> True new_esEs13(Right(xy300), Right(xy4000), bbh, ty_@0) -> new_esEs11(xy300, xy4000) new_esEs13(Right(xy300), Right(xy4000), bbh, app(ty_Ratio, bde)) -> new_esEs8(xy300, xy4000, bde) new_esEs20(xy301, xy4001, ty_Double) -> new_esEs16(xy301, xy4001) new_esEs21(xy302, xy4002, ty_Char) -> new_esEs14(xy302, xy4002) new_esEs13(Right(xy300), Right(xy4000), bbh, app(app(app(ty_@3, bdf), bdg), bdh)) -> new_esEs10(xy300, xy4000, bdf, bdg, bdh) new_esEs24(xy300, xy4000, ty_Float) -> new_esEs9(xy300, xy4000) new_esEs9(Float(xy300, xy301), Float(xy4000, xy4001)) -> new_esEs12(new_sr(xy300, xy4001), new_sr(xy301, xy4000)) new_esEs21(xy302, xy4002, app(app(ty_Either, gd), ge)) -> new_esEs13(xy302, xy4002, gd, ge) new_esEs4(xy30, xy400, ty_Bool) -> new_esEs7(xy30, xy400) new_esEs21(xy302, xy4002, app(ty_[], gf)) -> new_esEs5(xy302, xy4002, gf) new_asAs(False, xy31) -> False new_esEs21(xy302, xy4002, ty_@0) -> new_esEs11(xy302, xy4002) new_esEs7(True, True) -> True new_esEs6(Just(xy300), Just(xy4000), app(ty_Maybe, bh)) -> new_esEs6(xy300, xy4000, bh) new_esEs6(Nothing, Just(xy4000), bc) -> False new_esEs6(Just(xy300), Nothing, bc) -> False new_esEs24(xy300, xy4000, app(ty_Ratio, hd)) -> new_esEs8(xy300, xy4000, hd) new_esEs24(xy300, xy4000, app(app(app(ty_@3, he), hf), hg)) -> new_esEs10(xy300, xy4000, he, hf, hg) new_esEs26(xy310, xy4010, ty_@0) -> new_esEs11(xy310, xy4010) new_esEs13(Left(xy300), Left(xy4000), ty_Double, bca) -> new_esEs16(xy300, xy4000) new_esEs6(Nothing, Nothing, bc) -> True new_esEs6(Just(xy300), Just(xy4000), ty_Ordering) -> new_esEs17(xy300, xy4000) new_esEs26(xy310, xy4010, app(ty_[], bcb)) -> new_esEs5(xy310, xy4010, bcb) new_esEs25(xy301, xy4001, ty_Double) -> new_esEs16(xy301, xy4001) new_esEs6(Just(xy300), Just(xy4000), ty_Integer) -> new_esEs15(xy300, xy4000) The set Q consists of the following terms: new_esEs25(x0, x1, ty_Bool) new_esEs20(x0, x1, app(ty_Ratio, x2)) new_esEs24(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs4(x0, x1, ty_Integer) new_esEs20(x0, x1, ty_Integer) new_esEs19(x0, x1, ty_Double) new_esEs25(x0, x1, app(ty_[], x2)) new_esEs24(x0, x1, app(ty_[], x2)) new_sr(Pos(x0), Neg(x1)) new_sr(Neg(x0), Pos(x1)) new_esEs6(Just(x0), Just(x1), ty_Bool) new_sr(Neg(x0), Neg(x1)) new_primPlusNat1(Zero, Succ(x0)) new_primMulNat0(Zero, Zero) new_esEs25(x0, x1, ty_@0) new_esEs13(Left(x0), Left(x1), ty_Integer, x2) new_primPlusNat1(Zero, Zero) new_esEs25(x0, x1, app(app(ty_Either, x2), x3)) new_esEs24(x0, x1, app(ty_Ratio, x2)) new_esEs24(x0, x1, ty_@0) new_esEs19(x0, x1, ty_Float) new_esEs6(Just(x0), Just(x1), ty_@0) new_primEqInt(Pos(Succ(x0)), Neg(x1)) new_primEqInt(Neg(Succ(x0)), Pos(x1)) new_esEs26(x0, x1, ty_Bool) new_primMulNat0(Zero, Succ(x0)) new_esEs20(x0, x1, ty_Bool) new_primEqInt(Pos(Zero), Pos(Zero)) new_esEs13(Right(x0), Right(x1), x2, app(app(ty_Either, x3), x4)) new_esEs25(x0, x1, ty_Integer) new_esEs6(Just(x0), Just(x1), ty_Integer) new_esEs13(Left(x0), Left(x1), app(ty_Ratio, x2), x3) new_esEs13(Right(x0), Right(x1), x2, ty_Double) new_primEqInt(Pos(Zero), Neg(Succ(x0))) new_primEqInt(Neg(Zero), Pos(Succ(x0))) new_esEs13(Left(x0), Left(x1), app(ty_[], x2), x3) new_esEs5([], [], x0) new_esEs13(Left(x0), Right(x1), x2, x3) new_esEs13(Right(x0), Left(x1), x2, x3) new_esEs4(x0, x1, app(ty_Ratio, x2)) new_esEs21(x0, x1, app(app(ty_Either, x2), x3)) new_esEs21(x0, x1, app(ty_Maybe, x2)) new_esEs25(x0, x1, app(ty_Ratio, x2)) new_esEs19(x0, x1, app(app(ty_Either, x2), x3)) new_primEqInt(Neg(Zero), Neg(Zero)) new_esEs18(@2(x0, x1), @2(x2, x3), x4, x5) new_sr(Pos(x0), Pos(x1)) new_primMulNat0(Succ(x0), Zero) new_esEs7(False, False) new_esEs13(Left(x0), Left(x1), ty_Double, x2) new_primEqNat0(Succ(x0), Succ(x1)) new_esEs4(x0, x1, app(ty_Maybe, x2)) new_esEs7(True, True) new_esEs13(Left(x0), Left(x1), ty_Ordering, x2) new_esEs17(LT, EQ) new_esEs17(EQ, LT) new_asAs(True, x0) new_primPlusNat1(Succ(x0), Succ(x1)) new_asAs(False, x0) new_esEs19(x0, x1, ty_Integer) new_esEs21(x0, x1, ty_@0) new_esEs13(Right(x0), Right(x1), x2, app(ty_[], x3)) new_esEs26(x0, x1, app(ty_Ratio, x2)) new_esEs24(x0, x1, ty_Integer) new_esEs24(x0, x1, ty_Ordering) new_esEs24(x0, x1, app(ty_Maybe, x2)) new_esEs10(@3(x0, x1, x2), @3(x3, x4, x5), x6, x7, x8) new_esEs20(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs20(x0, x1, app(app(ty_@2, x2), x3)) new_esEs22(x0, x1, ty_Int) new_esEs21(x0, x1, ty_Float) new_esEs21(x0, x1, app(ty_Ratio, x2)) new_esEs13(Left(x0), Left(x1), ty_Bool, x2) new_esEs17(GT, GT) new_esEs4(x0, x1, ty_Bool) new_esEs25(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs13(Right(x0), Right(x1), x2, ty_Int) new_esEs6(Just(x0), Just(x1), app(ty_Maybe, x2)) new_esEs17(EQ, GT) new_esEs17(GT, EQ) new_esEs25(x0, x1, ty_Int) new_primEqInt(Pos(Zero), Neg(Zero)) new_primEqInt(Neg(Zero), Pos(Zero)) new_esEs13(Left(x0), Left(x1), app(ty_Maybe, x2), x3) new_esEs6(Just(x0), Just(x1), app(ty_Ratio, x2)) new_esEs26(x0, x1, ty_Ordering) new_esEs23(x0, x1, ty_Integer) new_esEs12(x0, x1) new_esEs17(EQ, EQ) new_esEs9(Float(x0, x1), Float(x2, x3)) new_primPlusNat0(Succ(x0), x1) new_esEs25(x0, x1, app(ty_Maybe, x2)) new_esEs19(x0, x1, ty_Ordering) new_primEqInt(Neg(Zero), Neg(Succ(x0))) new_esEs6(Just(x0), Just(x1), ty_Double) new_esEs25(x0, x1, ty_Char) new_esEs26(x0, x1, app(app(ty_Either, x2), x3)) new_esEs6(Just(x0), Just(x1), ty_Char) new_esEs6(Just(x0), Just(x1), app(app(app(ty_@3, x2), x3), x4)) new_esEs26(x0, x1, ty_Integer) new_primEqInt(Pos(Succ(x0)), Pos(Succ(x1))) new_esEs13(Right(x0), Right(x1), x2, ty_Float) new_esEs6(Just(x0), Just(x1), app(app(ty_@2, x2), x3)) new_esEs13(Right(x0), Right(x1), x2, app(app(ty_@2, x3), x4)) new_esEs5([], :(x0, x1), x2) new_esEs20(x0, x1, ty_Int) new_esEs13(Left(x0), Left(x1), ty_Char, x2) new_esEs24(x0, x1, app(app(ty_@2, x2), x3)) new_esEs6(Just(x0), Just(x1), ty_Ordering) new_esEs20(x0, x1, app(app(ty_Either, x2), x3)) new_esEs25(x0, x1, ty_Float) new_esEs17(LT, GT) new_esEs17(GT, LT) new_esEs4(x0, x1, ty_Int) new_esEs25(x0, x1, ty_Double) new_esEs25(x0, x1, ty_Ordering) new_esEs19(x0, x1, ty_@0) new_esEs13(Right(x0), Right(x1), x2, ty_@0) new_esEs6(Nothing, Nothing, x0) new_esEs19(x0, x1, app(ty_Ratio, x2)) new_esEs6(Just(x0), Just(x1), ty_Int) new_esEs23(x0, x1, ty_Int) new_esEs13(Left(x0), Left(x1), app(app(app(ty_@3, x2), x3), x4), x5) new_esEs19(x0, x1, ty_Bool) new_esEs26(x0, x1, app(app(ty_@2, x2), x3)) new_primPlusNat0(Zero, x0) new_esEs4(x0, x1, app(app(ty_Either, x2), x3)) new_primEqInt(Neg(Succ(x0)), Neg(Zero)) new_primEqInt(Neg(Succ(x0)), Neg(Succ(x1))) new_esEs26(x0, x1, ty_Int) new_primEqInt(Pos(Succ(x0)), Pos(Zero)) new_esEs24(x0, x1, ty_Float) new_esEs20(x0, x1, ty_Double) new_esEs13(Right(x0), Right(x1), x2, ty_Bool) new_esEs21(x0, x1, ty_Int) new_esEs20(x0, x1, ty_Ordering) new_esEs26(x0, x1, ty_Double) new_esEs16(Double(x0, x1), Double(x2, x3)) new_esEs4(x0, x1, ty_Double) new_esEs26(x0, x1, ty_Char) new_esEs11(@0, @0) new_esEs4(x0, x1, ty_Ordering) new_esEs21(x0, x1, ty_Char) new_esEs13(Right(x0), Right(x1), x2, ty_Char) new_esEs4(x0, x1, ty_Char) new_esEs6(Just(x0), Just(x1), ty_Float) new_esEs4(x0, x1, app(app(ty_@2, x2), x3)) new_esEs19(x0, x1, app(app(ty_@2, x2), x3)) new_esEs15(Integer(x0), Integer(x1)) new_esEs19(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs13(Left(x0), Left(x1), ty_Int, x2) new_esEs20(x0, x1, ty_Char) new_esEs19(x0, x1, app(ty_[], x2)) new_esEs6(Nothing, Just(x0), x1) new_esEs13(Right(x0), Right(x1), x2, app(app(app(ty_@3, x3), x4), x5)) new_esEs22(x0, x1, ty_Integer) new_esEs26(x0, x1, app(ty_Maybe, x2)) new_primEqNat0(Zero, Zero) new_esEs20(x0, x1, app(ty_[], x2)) new_esEs21(x0, x1, ty_Ordering) new_esEs6(Just(x0), Just(x1), app(app(ty_Either, x2), x3)) new_esEs13(Right(x0), Right(x1), x2, ty_Integer) new_esEs19(x0, x1, ty_Char) new_esEs13(Right(x0), Right(x1), x2, app(ty_Maybe, x3)) new_esEs6(Just(x0), Nothing, x1) new_esEs21(x0, x1, app(app(ty_@2, x2), x3)) new_esEs20(x0, x1, app(ty_Maybe, x2)) new_esEs21(x0, x1, ty_Double) new_esEs25(x0, x1, app(app(ty_@2, x2), x3)) new_esEs13(Left(x0), Left(x1), ty_@0, x2) new_esEs17(LT, LT) new_esEs24(x0, x1, ty_Int) new_esEs14(Char(x0), Char(x1)) new_esEs4(x0, x1, ty_@0) new_esEs26(x0, x1, ty_@0) new_primPlusNat1(Succ(x0), Zero) new_primEqNat0(Succ(x0), Zero) new_esEs6(Just(x0), Just(x1), app(ty_[], x2)) new_esEs20(x0, x1, ty_@0) new_primMulNat0(Succ(x0), Succ(x1)) new_esEs24(x0, x1, ty_Bool) new_esEs13(Left(x0), Left(x1), ty_Float, x2) new_esEs4(x0, x1, ty_Float) new_esEs5(:(x0, x1), :(x2, x3), x4) new_primEqInt(Pos(Zero), Pos(Succ(x0))) new_esEs21(x0, x1, ty_Bool) new_esEs20(x0, x1, ty_Float) new_esEs24(x0, x1, ty_Double) new_esEs4(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs21(x0, x1, ty_Integer) new_esEs13(Right(x0), Right(x1), x2, ty_Ordering) new_esEs24(x0, x1, app(app(ty_Either, x2), x3)) new_esEs26(x0, x1, app(ty_[], x2)) new_esEs8(:%(x0, x1), :%(x2, x3), x4) new_esEs21(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs13(Left(x0), Left(x1), app(app(ty_Either, x2), x3), x4) new_esEs5(:(x0, x1), [], x2) new_esEs13(Right(x0), Right(x1), x2, app(ty_Ratio, x3)) new_esEs13(Left(x0), Left(x1), app(app(ty_@2, x2), x3), x4) new_esEs19(x0, x1, app(ty_Maybe, x2)) new_esEs19(x0, x1, ty_Int) new_esEs24(x0, x1, ty_Char) new_esEs21(x0, x1, app(ty_[], x2)) new_esEs4(x0, x1, app(ty_[], x2)) new_primEqNat0(Zero, Succ(x0)) new_esEs26(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs26(x0, x1, ty_Float) new_esEs7(False, True) new_esEs7(True, False) We have to consider all minimal (P,Q,R)-chains. ---------------------------------------- (16) DependencyGraphProof (EQUIVALENT) The approximation of the Dependency Graph [LPAR04,FROCOS05,EDGSTAR] contains 2 SCCs. ---------------------------------------- (17) Complex Obligation (AND) ---------------------------------------- (18) Obligation: Q DP problem: The TRS P consists of the following rules: new_deleteBy([], :(:(xy400, xy401), xy41), bb) -> new_deleteBy([], xy41, bb) The TRS R consists of the following rules: new_esEs26(xy310, xy4010, ty_Float) -> new_esEs9(xy310, xy4010) new_esEs20(xy301, xy4001, ty_Int) -> new_esEs12(xy301, xy4001) new_esEs13(Left(xy300), Left(xy4000), ty_Char, bca) -> new_esEs14(xy300, xy4000) new_esEs4(xy30, xy400, ty_Ordering) -> new_esEs17(xy30, xy400) new_primEqInt(Pos(Zero), Pos(Zero)) -> True new_esEs6(Just(xy300), Just(xy4000), ty_Bool) -> new_esEs7(xy300, xy4000) new_esEs20(xy301, xy4001, ty_Integer) -> new_esEs15(xy301, xy4001) new_esEs4(xy30, xy400, app(ty_Maybe, bc)) -> new_esEs6(xy30, xy400, bc) new_esEs19(xy300, xy4000, ty_Bool) -> new_esEs7(xy300, xy4000) new_esEs18(@2(xy300, xy301), @2(xy4000, xy4001), hb, hc) -> new_asAs(new_esEs24(xy300, xy4000, hb), new_esEs25(xy301, xy4001, hc)) new_esEs25(xy301, xy4001, ty_Bool) -> new_esEs7(xy301, xy4001) new_esEs10(@3(xy300, xy301, xy302), @3(xy4000, xy4001, xy4002), cf, cg, da) -> new_asAs(new_esEs19(xy300, xy4000, cf), new_asAs(new_esEs20(xy301, xy4001, cg), new_esEs21(xy302, xy4002, da))) new_esEs4(xy30, xy400, app(app(ty_Either, bbh), bca)) -> new_esEs13(xy30, xy400, bbh, bca) new_esEs25(xy301, xy4001, ty_Ordering) -> new_esEs17(xy301, xy4001) new_esEs16(Double(xy300, xy301), Double(xy4000, xy4001)) -> new_esEs12(new_sr(xy300, xy4001), new_sr(xy301, xy4000)) new_esEs22(xy300, xy4000, ty_Integer) -> new_esEs15(xy300, xy4000) new_esEs14(Char(xy300), Char(xy4000)) -> new_primEqNat0(xy300, xy4000) new_esEs22(xy300, xy4000, ty_Int) -> new_esEs12(xy300, xy4000) new_esEs24(xy300, xy4000, ty_@0) -> new_esEs11(xy300, xy4000) new_esEs5([], [], bb) -> True new_esEs26(xy310, xy4010, app(ty_Ratio, ha)) -> new_esEs8(xy310, xy4010, ha) new_esEs25(xy301, xy4001, app(app(ty_Either, bbc), bbd)) -> new_esEs13(xy301, xy4001, bbc, bbd) new_esEs15(Integer(xy300), Integer(xy4000)) -> new_primEqInt(xy300, xy4000) new_esEs13(Left(xy300), Right(xy4000), bbh, bca) -> False new_esEs13(Right(xy300), Left(xy4000), bbh, bca) -> False new_esEs19(xy300, xy4000, ty_Ordering) -> new_esEs17(xy300, xy4000) new_esEs20(xy301, xy4001, app(ty_[], fc)) -> new_esEs5(xy301, xy4001, fc) new_esEs6(Just(xy300), Just(xy4000), app(app(app(ty_@3, be), bf), bg)) -> new_esEs10(xy300, xy4000, be, bf, bg) new_asAs(True, xy31) -> xy31 new_esEs13(Right(xy300), Right(xy4000), bbh, ty_Double) -> new_esEs16(xy300, xy4000) new_esEs21(xy302, xy4002, app(ty_Maybe, gc)) -> new_esEs6(xy302, xy4002, gc) new_esEs6(Just(xy300), Just(xy4000), app(app(ty_Either, ca), cb)) -> new_esEs13(xy300, xy4000, ca, cb) new_esEs25(xy301, xy4001, app(ty_[], bbe)) -> new_esEs5(xy301, xy4001, bbe) new_esEs26(xy310, xy4010, app(app(ty_@2, hb), hc)) -> new_esEs18(xy310, xy4010, hb, hc) new_esEs13(Left(xy300), Left(xy4000), app(ty_Ratio, bcc), bca) -> new_esEs8(xy300, xy4000, bcc) new_esEs13(Left(xy300), Left(xy4000), ty_Float, bca) -> new_esEs9(xy300, xy4000) new_esEs26(xy310, xy4010, ty_Char) -> new_esEs14(xy310, xy4010) new_primEqInt(Pos(Succ(xy3000)), Pos(Zero)) -> False new_primEqInt(Pos(Zero), Pos(Succ(xy40000))) -> False new_esEs17(LT, LT) -> True new_esEs19(xy300, xy4000, ty_Int) -> new_esEs12(xy300, xy4000) new_esEs19(xy300, xy4000, app(app(ty_Either, dg), dh)) -> new_esEs13(xy300, xy4000, dg, dh) new_esEs8(:%(xy300, xy301), :%(xy4000, xy4001), ha) -> new_asAs(new_esEs22(xy300, xy4000, ha), new_esEs23(xy301, xy4001, ha)) new_esEs4(xy30, xy400, app(ty_[], bcb)) -> new_esEs5(xy30, xy400, bcb) new_esEs21(xy302, xy4002, ty_Double) -> new_esEs16(xy302, xy4002) new_esEs19(xy300, xy4000, app(ty_[], ea)) -> new_esEs5(xy300, xy4000, ea) new_esEs24(xy300, xy4000, ty_Integer) -> new_esEs15(xy300, xy4000) new_esEs13(Right(xy300), Right(xy4000), bbh, app(app(ty_@2, bee), bef)) -> new_esEs18(xy300, xy4000, bee, bef) new_primEqNat0(Succ(xy3000), Succ(xy40000)) -> new_primEqNat0(xy3000, xy40000) new_esEs4(xy30, xy400, app(app(app(ty_@3, cf), cg), da)) -> new_esEs10(xy30, xy400, cf, cg, da) new_esEs13(Right(xy300), Right(xy4000), bbh, ty_Char) -> new_esEs14(xy300, xy4000) new_esEs25(xy301, xy4001, app(app(app(ty_@3, bag), bah), bba)) -> new_esEs10(xy301, xy4001, bag, bah, bba) new_esEs19(xy300, xy4000, app(app(app(ty_@3, dc), dd), de)) -> new_esEs10(xy300, xy4000, dc, dd, de) new_esEs13(Left(xy300), Left(xy4000), app(ty_[], bdb), bca) -> new_esEs5(xy300, xy4000, bdb) new_esEs25(xy301, xy4001, ty_Integer) -> new_esEs15(xy301, xy4001) new_primMulNat0(Zero, Zero) -> Zero new_esEs21(xy302, xy4002, ty_Float) -> new_esEs9(xy302, xy4002) new_esEs6(Just(xy300), Just(xy4000), ty_Int) -> new_esEs12(xy300, xy4000) new_esEs13(Right(xy300), Right(xy4000), bbh, ty_Bool) -> new_esEs7(xy300, xy4000) new_esEs21(xy302, xy4002, app(ty_Ratio, fg)) -> new_esEs8(xy302, xy4002, fg) new_esEs13(Right(xy300), Right(xy4000), bbh, app(ty_[], bed)) -> new_esEs5(xy300, xy4000, bed) new_esEs26(xy310, xy4010, ty_Integer) -> new_esEs15(xy310, xy4010) new_esEs21(xy302, xy4002, ty_Bool) -> new_esEs7(xy302, xy4002) new_esEs24(xy300, xy4000, app(app(ty_@2, bad), bae)) -> new_esEs18(xy300, xy4000, bad, bae) new_esEs25(xy301, xy4001, ty_Int) -> new_esEs12(xy301, xy4001) new_esEs20(xy301, xy4001, ty_Ordering) -> new_esEs17(xy301, xy4001) new_esEs13(Right(xy300), Right(xy4000), bbh, ty_Float) -> new_esEs9(xy300, xy4000) new_esEs20(xy301, xy4001, ty_Float) -> new_esEs9(xy301, xy4001) new_esEs13(Left(xy300), Left(xy4000), app(app(ty_Either, bch), bda), bca) -> new_esEs13(xy300, xy4000, bch, bda) new_primEqNat0(Succ(xy3000), Zero) -> False new_primEqNat0(Zero, Succ(xy40000)) -> False new_esEs19(xy300, xy4000, ty_Integer) -> new_esEs15(xy300, xy4000) new_esEs24(xy300, xy4000, app(ty_[], bac)) -> new_esEs5(xy300, xy4000, bac) new_esEs6(Just(xy300), Just(xy4000), ty_Double) -> new_esEs16(xy300, xy4000) new_esEs26(xy310, xy4010, app(ty_Maybe, bc)) -> new_esEs6(xy310, xy4010, bc) new_esEs21(xy302, xy4002, ty_Ordering) -> new_esEs17(xy302, xy4002) new_esEs13(Left(xy300), Left(xy4000), ty_Ordering, bca) -> new_esEs17(xy300, xy4000) new_esEs25(xy301, xy4001, app(app(ty_@2, bbf), bbg)) -> new_esEs18(xy301, xy4001, bbf, bbg) new_esEs6(Just(xy300), Just(xy4000), ty_@0) -> new_esEs11(xy300, xy4000) new_esEs6(Just(xy300), Just(xy4000), app(ty_[], cc)) -> new_esEs5(xy300, xy4000, cc) new_esEs17(EQ, GT) -> False new_esEs17(GT, EQ) -> False new_esEs7(False, False) -> True new_esEs13(Left(xy300), Left(xy4000), ty_Bool, bca) -> new_esEs7(xy300, xy4000) new_esEs26(xy310, xy4010, ty_Ordering) -> new_esEs17(xy310, xy4010) new_esEs13(Left(xy300), Left(xy4000), ty_Integer, bca) -> new_esEs15(xy300, xy4000) new_esEs17(GT, GT) -> True new_primEqInt(Neg(Succ(xy3000)), Neg(Zero)) -> False new_primEqInt(Neg(Zero), Neg(Succ(xy40000))) -> False new_esEs25(xy301, xy4001, app(ty_Maybe, bbb)) -> new_esEs6(xy301, xy4001, bbb) new_esEs13(Left(xy300), Left(xy4000), app(app(ty_@2, bdc), bdd), bca) -> new_esEs18(xy300, xy4000, bdc, bdd) new_esEs26(xy310, xy4010, app(app(app(ty_@3, cf), cg), da)) -> new_esEs10(xy310, xy4010, cf, cg, da) new_primEqInt(Pos(Succ(xy3000)), Pos(Succ(xy40000))) -> new_primEqNat0(xy3000, xy40000) new_sr(Pos(xy3000), Neg(xy40010)) -> Neg(new_primMulNat0(xy3000, xy40010)) new_sr(Neg(xy3000), Pos(xy40010)) -> Neg(new_primMulNat0(xy3000, xy40010)) new_esEs24(xy300, xy4000, ty_Char) -> new_esEs14(xy300, xy4000) new_primPlusNat1(Succ(xy3200), Succ(xy4001000)) -> Succ(Succ(new_primPlusNat1(xy3200, xy4001000))) new_esEs20(xy301, xy4001, app(ty_Maybe, eh)) -> new_esEs6(xy301, xy4001, eh) new_esEs4(xy30, xy400, ty_Double) -> new_esEs16(xy30, xy400) new_primEqInt(Pos(Succ(xy3000)), Neg(xy4000)) -> False new_primEqInt(Neg(Succ(xy3000)), Pos(xy4000)) -> False new_esEs13(Right(xy300), Right(xy4000), bbh, ty_Ordering) -> new_esEs17(xy300, xy4000) new_esEs19(xy300, xy4000, app(ty_Maybe, df)) -> new_esEs6(xy300, xy4000, df) new_esEs13(Right(xy300), Right(xy4000), bbh, ty_Integer) -> new_esEs15(xy300, xy4000) new_esEs20(xy301, xy4001, ty_Bool) -> new_esEs7(xy301, xy4001) new_esEs21(xy302, xy4002, app(app(app(ty_@3, fh), ga), gb)) -> new_esEs10(xy302, xy4002, fh, ga, gb) new_esEs24(xy300, xy4000, app(app(ty_Either, baa), bab)) -> new_esEs13(xy300, xy4000, baa, bab) new_esEs24(xy300, xy4000, ty_Int) -> new_esEs12(xy300, xy4000) new_esEs13(Right(xy300), Right(xy4000), bbh, ty_Int) -> new_esEs12(xy300, xy4000) new_esEs19(xy300, xy4000, ty_Float) -> new_esEs9(xy300, xy4000) new_esEs24(xy300, xy4000, ty_Ordering) -> new_esEs17(xy300, xy4000) new_esEs6(Just(xy300), Just(xy4000), app(ty_Ratio, bd)) -> new_esEs8(xy300, xy4000, bd) new_esEs13(Right(xy300), Right(xy4000), bbh, app(ty_Maybe, bea)) -> new_esEs6(xy300, xy4000, bea) new_esEs21(xy302, xy4002, ty_Integer) -> new_esEs15(xy302, xy4002) new_esEs7(False, True) -> False new_esEs7(True, False) -> False new_esEs12(xy30, xy400) -> new_primEqInt(xy30, xy400) new_esEs21(xy302, xy4002, ty_Int) -> new_esEs12(xy302, xy4002) new_esEs19(xy300, xy4000, app(ty_Ratio, db)) -> new_esEs8(xy300, xy4000, db) new_esEs13(Left(xy300), Left(xy4000), app(ty_Maybe, bcg), bca) -> new_esEs6(xy300, xy4000, bcg) new_sr(Neg(xy3000), Neg(xy40010)) -> Pos(new_primMulNat0(xy3000, xy40010)) new_esEs25(xy301, xy4001, app(ty_Ratio, baf)) -> new_esEs8(xy301, xy4001, baf) new_esEs4(xy30, xy400, ty_@0) -> new_esEs11(xy30, xy400) new_esEs19(xy300, xy4000, ty_Char) -> new_esEs14(xy300, xy4000) new_primEqInt(Pos(Zero), Neg(Succ(xy40000))) -> False new_primEqInt(Neg(Zero), Pos(Succ(xy40000))) -> False new_esEs19(xy300, xy4000, app(app(ty_@2, eb), ec)) -> new_esEs18(xy300, xy4000, eb, ec) new_esEs6(Just(xy300), Just(xy4000), ty_Float) -> new_esEs9(xy300, xy4000) new_esEs26(xy310, xy4010, ty_Bool) -> new_esEs7(xy310, xy4010) new_esEs4(xy30, xy400, ty_Float) -> new_esEs9(xy30, xy400) new_esEs25(xy301, xy4001, ty_@0) -> new_esEs11(xy301, xy4001) new_esEs17(EQ, EQ) -> True new_esEs5(:(xy310, xy311), :(xy4010, xy4011), bb) -> new_asAs(new_esEs26(xy310, xy4010, bb), new_esEs5(xy311, xy4011, bb)) new_esEs24(xy300, xy4000, ty_Double) -> new_esEs16(xy300, xy4000) new_esEs25(xy301, xy4001, ty_Char) -> new_esEs14(xy301, xy4001) new_primEqInt(Neg(Succ(xy3000)), Neg(Succ(xy40000))) -> new_primEqNat0(xy3000, xy40000) new_esEs17(LT, EQ) -> False new_esEs17(EQ, LT) -> False new_esEs23(xy301, xy4001, ty_Int) -> new_esEs12(xy301, xy4001) new_esEs13(Left(xy300), Left(xy4000), ty_Int, bca) -> new_esEs12(xy300, xy4000) new_esEs20(xy301, xy4001, app(app(ty_@2, fd), ff)) -> new_esEs18(xy301, xy4001, fd, ff) new_primPlusNat0(Succ(xy320), xy400100) -> Succ(Succ(new_primPlusNat1(xy320, xy400100))) new_esEs4(xy30, xy400, app(ty_Ratio, ha)) -> new_esEs8(xy30, xy400, ha) new_esEs20(xy301, xy4001, app(app(app(ty_@3, ee), ef), eg)) -> new_esEs10(xy301, xy4001, ee, ef, eg) new_esEs19(xy300, xy4000, ty_@0) -> new_esEs11(xy300, xy4000) new_esEs24(xy300, xy4000, app(ty_Maybe, hh)) -> new_esEs6(xy300, xy4000, hh) new_primPlusNat1(Zero, Zero) -> Zero new_esEs20(xy301, xy4001, ty_Char) -> new_esEs14(xy301, xy4001) new_primMulNat0(Succ(xy30000), Zero) -> Zero new_primMulNat0(Zero, Succ(xy400100)) -> Zero new_esEs26(xy310, xy4010, ty_Double) -> new_esEs16(xy310, xy4010) new_sr(Pos(xy3000), Pos(xy40010)) -> Pos(new_primMulNat0(xy3000, xy40010)) new_esEs25(xy301, xy4001, ty_Float) -> new_esEs9(xy301, xy4001) new_primPlusNat0(Zero, xy400100) -> Succ(xy400100) new_esEs13(Right(xy300), Right(xy4000), bbh, app(app(ty_Either, beb), bec)) -> new_esEs13(xy300, xy4000, beb, bec) new_esEs6(Just(xy300), Just(xy4000), app(app(ty_@2, cd), ce)) -> new_esEs18(xy300, xy4000, cd, ce) new_esEs20(xy301, xy4001, app(ty_Ratio, ed)) -> new_esEs8(xy301, xy4001, ed) new_esEs20(xy301, xy4001, app(app(ty_Either, fa), fb)) -> new_esEs13(xy301, xy4001, fa, fb) new_esEs24(xy300, xy4000, ty_Bool) -> new_esEs7(xy300, xy4000) new_esEs17(LT, GT) -> False new_esEs17(GT, LT) -> False new_esEs6(Just(xy300), Just(xy4000), ty_Char) -> new_esEs14(xy300, xy4000) new_primEqInt(Neg(Zero), Neg(Zero)) -> True new_primMulNat0(Succ(xy30000), Succ(xy400100)) -> new_primPlusNat0(new_primMulNat0(xy30000, Succ(xy400100)), xy400100) new_esEs19(xy300, xy4000, ty_Double) -> new_esEs16(xy300, xy4000) new_esEs13(Left(xy300), Left(xy4000), ty_@0, bca) -> new_esEs11(xy300, xy4000) new_esEs4(xy30, xy400, ty_Int) -> new_esEs12(xy30, xy400) new_esEs26(xy310, xy4010, ty_Int) -> new_esEs12(xy310, xy4010) new_primPlusNat1(Succ(xy3200), Zero) -> Succ(xy3200) new_primPlusNat1(Zero, Succ(xy4001000)) -> Succ(xy4001000) new_esEs4(xy30, xy400, ty_Char) -> new_esEs14(xy30, xy400) new_esEs4(xy30, xy400, app(app(ty_@2, hb), hc)) -> new_esEs18(xy30, xy400, hb, hc) new_esEs4(xy30, xy400, ty_Integer) -> new_esEs15(xy30, xy400) new_primEqInt(Pos(Zero), Neg(Zero)) -> True new_primEqInt(Neg(Zero), Pos(Zero)) -> True new_esEs20(xy301, xy4001, ty_@0) -> new_esEs11(xy301, xy4001) new_esEs21(xy302, xy4002, app(app(ty_@2, gg), gh)) -> new_esEs18(xy302, xy4002, gg, gh) new_esEs11(@0, @0) -> True new_esEs26(xy310, xy4010, app(app(ty_Either, bbh), bca)) -> new_esEs13(xy310, xy4010, bbh, bca) new_esEs13(Left(xy300), Left(xy4000), app(app(app(ty_@3, bcd), bce), bcf), bca) -> new_esEs10(xy300, xy4000, bcd, bce, bcf) new_esEs23(xy301, xy4001, ty_Integer) -> new_esEs15(xy301, xy4001) new_esEs5(:(xy310, xy311), [], bb) -> False new_esEs5([], :(xy4010, xy4011), bb) -> False new_primEqNat0(Zero, Zero) -> True new_esEs13(Right(xy300), Right(xy4000), bbh, ty_@0) -> new_esEs11(xy300, xy4000) new_esEs13(Right(xy300), Right(xy4000), bbh, app(ty_Ratio, bde)) -> new_esEs8(xy300, xy4000, bde) new_esEs20(xy301, xy4001, ty_Double) -> new_esEs16(xy301, xy4001) new_esEs21(xy302, xy4002, ty_Char) -> new_esEs14(xy302, xy4002) new_esEs13(Right(xy300), Right(xy4000), bbh, app(app(app(ty_@3, bdf), bdg), bdh)) -> new_esEs10(xy300, xy4000, bdf, bdg, bdh) new_esEs24(xy300, xy4000, ty_Float) -> new_esEs9(xy300, xy4000) new_esEs9(Float(xy300, xy301), Float(xy4000, xy4001)) -> new_esEs12(new_sr(xy300, xy4001), new_sr(xy301, xy4000)) new_esEs21(xy302, xy4002, app(app(ty_Either, gd), ge)) -> new_esEs13(xy302, xy4002, gd, ge) new_esEs4(xy30, xy400, ty_Bool) -> new_esEs7(xy30, xy400) new_esEs21(xy302, xy4002, app(ty_[], gf)) -> new_esEs5(xy302, xy4002, gf) new_asAs(False, xy31) -> False new_esEs21(xy302, xy4002, ty_@0) -> new_esEs11(xy302, xy4002) new_esEs7(True, True) -> True new_esEs6(Just(xy300), Just(xy4000), app(ty_Maybe, bh)) -> new_esEs6(xy300, xy4000, bh) new_esEs6(Nothing, Just(xy4000), bc) -> False new_esEs6(Just(xy300), Nothing, bc) -> False new_esEs24(xy300, xy4000, app(ty_Ratio, hd)) -> new_esEs8(xy300, xy4000, hd) new_esEs24(xy300, xy4000, app(app(app(ty_@3, he), hf), hg)) -> new_esEs10(xy300, xy4000, he, hf, hg) new_esEs26(xy310, xy4010, ty_@0) -> new_esEs11(xy310, xy4010) new_esEs13(Left(xy300), Left(xy4000), ty_Double, bca) -> new_esEs16(xy300, xy4000) new_esEs6(Nothing, Nothing, bc) -> True new_esEs6(Just(xy300), Just(xy4000), ty_Ordering) -> new_esEs17(xy300, xy4000) new_esEs26(xy310, xy4010, app(ty_[], bcb)) -> new_esEs5(xy310, xy4010, bcb) new_esEs25(xy301, xy4001, ty_Double) -> new_esEs16(xy301, xy4001) new_esEs6(Just(xy300), Just(xy4000), ty_Integer) -> new_esEs15(xy300, xy4000) The set Q consists of the following terms: new_esEs25(x0, x1, ty_Bool) new_esEs20(x0, x1, app(ty_Ratio, x2)) new_esEs24(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs4(x0, x1, ty_Integer) new_esEs20(x0, x1, ty_Integer) new_esEs19(x0, x1, ty_Double) new_esEs25(x0, x1, app(ty_[], x2)) new_esEs24(x0, x1, app(ty_[], x2)) new_sr(Pos(x0), Neg(x1)) new_sr(Neg(x0), Pos(x1)) new_esEs6(Just(x0), Just(x1), ty_Bool) new_sr(Neg(x0), Neg(x1)) new_primPlusNat1(Zero, Succ(x0)) new_primMulNat0(Zero, Zero) new_esEs25(x0, x1, ty_@0) new_esEs13(Left(x0), Left(x1), ty_Integer, x2) new_primPlusNat1(Zero, Zero) new_esEs25(x0, x1, app(app(ty_Either, x2), x3)) new_esEs24(x0, x1, app(ty_Ratio, x2)) new_esEs24(x0, x1, ty_@0) new_esEs19(x0, x1, ty_Float) new_esEs6(Just(x0), Just(x1), ty_@0) new_primEqInt(Pos(Succ(x0)), Neg(x1)) new_primEqInt(Neg(Succ(x0)), Pos(x1)) new_esEs26(x0, x1, ty_Bool) new_primMulNat0(Zero, Succ(x0)) new_esEs20(x0, x1, ty_Bool) new_primEqInt(Pos(Zero), Pos(Zero)) new_esEs13(Right(x0), Right(x1), x2, app(app(ty_Either, x3), x4)) new_esEs25(x0, x1, ty_Integer) new_esEs6(Just(x0), Just(x1), ty_Integer) new_esEs13(Left(x0), Left(x1), app(ty_Ratio, x2), x3) new_esEs13(Right(x0), Right(x1), x2, ty_Double) new_primEqInt(Pos(Zero), Neg(Succ(x0))) new_primEqInt(Neg(Zero), Pos(Succ(x0))) new_esEs13(Left(x0), Left(x1), app(ty_[], x2), x3) new_esEs5([], [], x0) new_esEs13(Left(x0), Right(x1), x2, x3) new_esEs13(Right(x0), Left(x1), x2, x3) new_esEs4(x0, x1, app(ty_Ratio, x2)) new_esEs21(x0, x1, app(app(ty_Either, x2), x3)) new_esEs21(x0, x1, app(ty_Maybe, x2)) new_esEs25(x0, x1, app(ty_Ratio, x2)) new_esEs19(x0, x1, app(app(ty_Either, x2), x3)) new_primEqInt(Neg(Zero), Neg(Zero)) new_esEs18(@2(x0, x1), @2(x2, x3), x4, x5) new_sr(Pos(x0), Pos(x1)) new_primMulNat0(Succ(x0), Zero) new_esEs7(False, False) new_esEs13(Left(x0), Left(x1), ty_Double, x2) new_primEqNat0(Succ(x0), Succ(x1)) new_esEs4(x0, x1, app(ty_Maybe, x2)) new_esEs7(True, True) new_esEs13(Left(x0), Left(x1), ty_Ordering, x2) new_esEs17(LT, EQ) new_esEs17(EQ, LT) new_asAs(True, x0) new_primPlusNat1(Succ(x0), Succ(x1)) new_asAs(False, x0) new_esEs19(x0, x1, ty_Integer) new_esEs21(x0, x1, ty_@0) new_esEs13(Right(x0), Right(x1), x2, app(ty_[], x3)) new_esEs26(x0, x1, app(ty_Ratio, x2)) new_esEs24(x0, x1, ty_Integer) new_esEs24(x0, x1, ty_Ordering) new_esEs24(x0, x1, app(ty_Maybe, x2)) new_esEs10(@3(x0, x1, x2), @3(x3, x4, x5), x6, x7, x8) new_esEs20(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs20(x0, x1, app(app(ty_@2, x2), x3)) new_esEs22(x0, x1, ty_Int) new_esEs21(x0, x1, ty_Float) new_esEs21(x0, x1, app(ty_Ratio, x2)) new_esEs13(Left(x0), Left(x1), ty_Bool, x2) new_esEs17(GT, GT) new_esEs4(x0, x1, ty_Bool) new_esEs25(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs13(Right(x0), Right(x1), x2, ty_Int) new_esEs6(Just(x0), Just(x1), app(ty_Maybe, x2)) new_esEs17(EQ, GT) new_esEs17(GT, EQ) new_esEs25(x0, x1, ty_Int) new_primEqInt(Pos(Zero), Neg(Zero)) new_primEqInt(Neg(Zero), Pos(Zero)) new_esEs13(Left(x0), Left(x1), app(ty_Maybe, x2), x3) new_esEs6(Just(x0), Just(x1), app(ty_Ratio, x2)) new_esEs26(x0, x1, ty_Ordering) new_esEs23(x0, x1, ty_Integer) new_esEs12(x0, x1) new_esEs17(EQ, EQ) new_esEs9(Float(x0, x1), Float(x2, x3)) new_primPlusNat0(Succ(x0), x1) new_esEs25(x0, x1, app(ty_Maybe, x2)) new_esEs19(x0, x1, ty_Ordering) new_primEqInt(Neg(Zero), Neg(Succ(x0))) new_esEs6(Just(x0), Just(x1), ty_Double) new_esEs25(x0, x1, ty_Char) new_esEs26(x0, x1, app(app(ty_Either, x2), x3)) new_esEs6(Just(x0), Just(x1), ty_Char) new_esEs6(Just(x0), Just(x1), app(app(app(ty_@3, x2), x3), x4)) new_esEs26(x0, x1, ty_Integer) new_primEqInt(Pos(Succ(x0)), Pos(Succ(x1))) new_esEs13(Right(x0), Right(x1), x2, ty_Float) new_esEs6(Just(x0), Just(x1), app(app(ty_@2, x2), x3)) new_esEs13(Right(x0), Right(x1), x2, app(app(ty_@2, x3), x4)) new_esEs5([], :(x0, x1), x2) new_esEs20(x0, x1, ty_Int) new_esEs13(Left(x0), Left(x1), ty_Char, x2) new_esEs24(x0, x1, app(app(ty_@2, x2), x3)) new_esEs6(Just(x0), Just(x1), ty_Ordering) new_esEs20(x0, x1, app(app(ty_Either, x2), x3)) new_esEs25(x0, x1, ty_Float) new_esEs17(LT, GT) new_esEs17(GT, LT) new_esEs4(x0, x1, ty_Int) new_esEs25(x0, x1, ty_Double) new_esEs25(x0, x1, ty_Ordering) new_esEs19(x0, x1, ty_@0) new_esEs13(Right(x0), Right(x1), x2, ty_@0) new_esEs6(Nothing, Nothing, x0) new_esEs19(x0, x1, app(ty_Ratio, x2)) new_esEs6(Just(x0), Just(x1), ty_Int) new_esEs23(x0, x1, ty_Int) new_esEs13(Left(x0), Left(x1), app(app(app(ty_@3, x2), x3), x4), x5) new_esEs19(x0, x1, ty_Bool) new_esEs26(x0, x1, app(app(ty_@2, x2), x3)) new_primPlusNat0(Zero, x0) new_esEs4(x0, x1, app(app(ty_Either, x2), x3)) new_primEqInt(Neg(Succ(x0)), Neg(Zero)) new_primEqInt(Neg(Succ(x0)), Neg(Succ(x1))) new_esEs26(x0, x1, ty_Int) new_primEqInt(Pos(Succ(x0)), Pos(Zero)) new_esEs24(x0, x1, ty_Float) new_esEs20(x0, x1, ty_Double) new_esEs13(Right(x0), Right(x1), x2, ty_Bool) new_esEs21(x0, x1, ty_Int) new_esEs20(x0, x1, ty_Ordering) new_esEs26(x0, x1, ty_Double) new_esEs16(Double(x0, x1), Double(x2, x3)) new_esEs4(x0, x1, ty_Double) new_esEs26(x0, x1, ty_Char) new_esEs11(@0, @0) new_esEs4(x0, x1, ty_Ordering) new_esEs21(x0, x1, ty_Char) new_esEs13(Right(x0), Right(x1), x2, ty_Char) new_esEs4(x0, x1, ty_Char) new_esEs6(Just(x0), Just(x1), ty_Float) new_esEs4(x0, x1, app(app(ty_@2, x2), x3)) new_esEs19(x0, x1, app(app(ty_@2, x2), x3)) new_esEs15(Integer(x0), Integer(x1)) new_esEs19(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs13(Left(x0), Left(x1), ty_Int, x2) new_esEs20(x0, x1, ty_Char) new_esEs19(x0, x1, app(ty_[], x2)) new_esEs6(Nothing, Just(x0), x1) new_esEs13(Right(x0), Right(x1), x2, app(app(app(ty_@3, x3), x4), x5)) new_esEs22(x0, x1, ty_Integer) new_esEs26(x0, x1, app(ty_Maybe, x2)) new_primEqNat0(Zero, Zero) new_esEs20(x0, x1, app(ty_[], x2)) new_esEs21(x0, x1, ty_Ordering) new_esEs6(Just(x0), Just(x1), app(app(ty_Either, x2), x3)) new_esEs13(Right(x0), Right(x1), x2, ty_Integer) new_esEs19(x0, x1, ty_Char) new_esEs13(Right(x0), Right(x1), x2, app(ty_Maybe, x3)) new_esEs6(Just(x0), Nothing, x1) new_esEs21(x0, x1, app(app(ty_@2, x2), x3)) new_esEs20(x0, x1, app(ty_Maybe, x2)) new_esEs21(x0, x1, ty_Double) new_esEs25(x0, x1, app(app(ty_@2, x2), x3)) new_esEs13(Left(x0), Left(x1), ty_@0, x2) new_esEs17(LT, LT) new_esEs24(x0, x1, ty_Int) new_esEs14(Char(x0), Char(x1)) new_esEs4(x0, x1, ty_@0) new_esEs26(x0, x1, ty_@0) new_primPlusNat1(Succ(x0), Zero) new_primEqNat0(Succ(x0), Zero) new_esEs6(Just(x0), Just(x1), app(ty_[], x2)) new_esEs20(x0, x1, ty_@0) new_primMulNat0(Succ(x0), Succ(x1)) new_esEs24(x0, x1, ty_Bool) new_esEs13(Left(x0), Left(x1), ty_Float, x2) new_esEs4(x0, x1, ty_Float) new_esEs5(:(x0, x1), :(x2, x3), x4) new_primEqInt(Pos(Zero), Pos(Succ(x0))) new_esEs21(x0, x1, ty_Bool) new_esEs20(x0, x1, ty_Float) new_esEs24(x0, x1, ty_Double) new_esEs4(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs21(x0, x1, ty_Integer) new_esEs13(Right(x0), Right(x1), x2, ty_Ordering) new_esEs24(x0, x1, app(app(ty_Either, x2), x3)) new_esEs26(x0, x1, app(ty_[], x2)) new_esEs8(:%(x0, x1), :%(x2, x3), x4) new_esEs21(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs13(Left(x0), Left(x1), app(app(ty_Either, x2), x3), x4) new_esEs5(:(x0, x1), [], x2) new_esEs13(Right(x0), Right(x1), x2, app(ty_Ratio, x3)) new_esEs13(Left(x0), Left(x1), app(app(ty_@2, x2), x3), x4) new_esEs19(x0, x1, app(ty_Maybe, x2)) new_esEs19(x0, x1, ty_Int) new_esEs24(x0, x1, ty_Char) new_esEs21(x0, x1, app(ty_[], x2)) new_esEs4(x0, x1, app(ty_[], x2)) new_primEqNat0(Zero, Succ(x0)) new_esEs26(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs26(x0, x1, ty_Float) new_esEs7(False, True) new_esEs7(True, False) We have to consider all minimal (P,Q,R)-chains. ---------------------------------------- (19) QDPSizeChangeProof (EQUIVALENT) By using the subterm criterion [SUBTERM_CRITERION] together with the size-change analysis [AAECC05] we have proven that there are no infinite chains for this DP problem. From the DPs we obtained the following set of size-change graphs: *new_deleteBy([], :(:(xy400, xy401), xy41), bb) -> new_deleteBy([], xy41, bb) The graph contains the following edges 1 >= 1, 2 > 2, 3 >= 3 ---------------------------------------- (20) YES ---------------------------------------- (21) Obligation: Q DP problem: The TRS P consists of the following rules: 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) new_deleteBy0(xy12, xy13, xy14, xy15, xy16, False, ba) -> new_deleteBy(:(xy15, xy16), xy12, ba) new_deleteBy(:(xy30, xy31), :([], xy41), bb) -> new_deleteBy(:(xy30, xy31), xy41, bb) The TRS R consists of the following rules: new_esEs26(xy310, xy4010, ty_Float) -> new_esEs9(xy310, xy4010) new_esEs20(xy301, xy4001, ty_Int) -> new_esEs12(xy301, xy4001) new_esEs13(Left(xy300), Left(xy4000), ty_Char, bca) -> new_esEs14(xy300, xy4000) new_esEs4(xy30, xy400, ty_Ordering) -> new_esEs17(xy30, xy400) new_primEqInt(Pos(Zero), Pos(Zero)) -> True new_esEs6(Just(xy300), Just(xy4000), ty_Bool) -> new_esEs7(xy300, xy4000) new_esEs20(xy301, xy4001, ty_Integer) -> new_esEs15(xy301, xy4001) new_esEs4(xy30, xy400, app(ty_Maybe, bc)) -> new_esEs6(xy30, xy400, bc) new_esEs19(xy300, xy4000, ty_Bool) -> new_esEs7(xy300, xy4000) new_esEs18(@2(xy300, xy301), @2(xy4000, xy4001), hb, hc) -> new_asAs(new_esEs24(xy300, xy4000, hb), new_esEs25(xy301, xy4001, hc)) new_esEs25(xy301, xy4001, ty_Bool) -> new_esEs7(xy301, xy4001) new_esEs10(@3(xy300, xy301, xy302), @3(xy4000, xy4001, xy4002), cf, cg, da) -> new_asAs(new_esEs19(xy300, xy4000, cf), new_asAs(new_esEs20(xy301, xy4001, cg), new_esEs21(xy302, xy4002, da))) new_esEs4(xy30, xy400, app(app(ty_Either, bbh), bca)) -> new_esEs13(xy30, xy400, bbh, bca) new_esEs25(xy301, xy4001, ty_Ordering) -> new_esEs17(xy301, xy4001) new_esEs16(Double(xy300, xy301), Double(xy4000, xy4001)) -> new_esEs12(new_sr(xy300, xy4001), new_sr(xy301, xy4000)) new_esEs22(xy300, xy4000, ty_Integer) -> new_esEs15(xy300, xy4000) new_esEs14(Char(xy300), Char(xy4000)) -> new_primEqNat0(xy300, xy4000) new_esEs22(xy300, xy4000, ty_Int) -> new_esEs12(xy300, xy4000) new_esEs24(xy300, xy4000, ty_@0) -> new_esEs11(xy300, xy4000) new_esEs5([], [], bb) -> True new_esEs26(xy310, xy4010, app(ty_Ratio, ha)) -> new_esEs8(xy310, xy4010, ha) new_esEs25(xy301, xy4001, app(app(ty_Either, bbc), bbd)) -> new_esEs13(xy301, xy4001, bbc, bbd) new_esEs15(Integer(xy300), Integer(xy4000)) -> new_primEqInt(xy300, xy4000) new_esEs13(Left(xy300), Right(xy4000), bbh, bca) -> False new_esEs13(Right(xy300), Left(xy4000), bbh, bca) -> False new_esEs19(xy300, xy4000, ty_Ordering) -> new_esEs17(xy300, xy4000) new_esEs20(xy301, xy4001, app(ty_[], fc)) -> new_esEs5(xy301, xy4001, fc) new_esEs6(Just(xy300), Just(xy4000), app(app(app(ty_@3, be), bf), bg)) -> new_esEs10(xy300, xy4000, be, bf, bg) new_asAs(True, xy31) -> xy31 new_esEs13(Right(xy300), Right(xy4000), bbh, ty_Double) -> new_esEs16(xy300, xy4000) new_esEs21(xy302, xy4002, app(ty_Maybe, gc)) -> new_esEs6(xy302, xy4002, gc) new_esEs6(Just(xy300), Just(xy4000), app(app(ty_Either, ca), cb)) -> new_esEs13(xy300, xy4000, ca, cb) new_esEs25(xy301, xy4001, app(ty_[], bbe)) -> new_esEs5(xy301, xy4001, bbe) new_esEs26(xy310, xy4010, app(app(ty_@2, hb), hc)) -> new_esEs18(xy310, xy4010, hb, hc) new_esEs13(Left(xy300), Left(xy4000), app(ty_Ratio, bcc), bca) -> new_esEs8(xy300, xy4000, bcc) new_esEs13(Left(xy300), Left(xy4000), ty_Float, bca) -> new_esEs9(xy300, xy4000) new_esEs26(xy310, xy4010, ty_Char) -> new_esEs14(xy310, xy4010) new_primEqInt(Pos(Succ(xy3000)), Pos(Zero)) -> False new_primEqInt(Pos(Zero), Pos(Succ(xy40000))) -> False new_esEs17(LT, LT) -> True new_esEs19(xy300, xy4000, ty_Int) -> new_esEs12(xy300, xy4000) new_esEs19(xy300, xy4000, app(app(ty_Either, dg), dh)) -> new_esEs13(xy300, xy4000, dg, dh) new_esEs8(:%(xy300, xy301), :%(xy4000, xy4001), ha) -> new_asAs(new_esEs22(xy300, xy4000, ha), new_esEs23(xy301, xy4001, ha)) new_esEs4(xy30, xy400, app(ty_[], bcb)) -> new_esEs5(xy30, xy400, bcb) new_esEs21(xy302, xy4002, ty_Double) -> new_esEs16(xy302, xy4002) new_esEs19(xy300, xy4000, app(ty_[], ea)) -> new_esEs5(xy300, xy4000, ea) new_esEs24(xy300, xy4000, ty_Integer) -> new_esEs15(xy300, xy4000) new_esEs13(Right(xy300), Right(xy4000), bbh, app(app(ty_@2, bee), bef)) -> new_esEs18(xy300, xy4000, bee, bef) new_primEqNat0(Succ(xy3000), Succ(xy40000)) -> new_primEqNat0(xy3000, xy40000) new_esEs4(xy30, xy400, app(app(app(ty_@3, cf), cg), da)) -> new_esEs10(xy30, xy400, cf, cg, da) new_esEs13(Right(xy300), Right(xy4000), bbh, ty_Char) -> new_esEs14(xy300, xy4000) new_esEs25(xy301, xy4001, app(app(app(ty_@3, bag), bah), bba)) -> new_esEs10(xy301, xy4001, bag, bah, bba) new_esEs19(xy300, xy4000, app(app(app(ty_@3, dc), dd), de)) -> new_esEs10(xy300, xy4000, dc, dd, de) new_esEs13(Left(xy300), Left(xy4000), app(ty_[], bdb), bca) -> new_esEs5(xy300, xy4000, bdb) new_esEs25(xy301, xy4001, ty_Integer) -> new_esEs15(xy301, xy4001) new_primMulNat0(Zero, Zero) -> Zero new_esEs21(xy302, xy4002, ty_Float) -> new_esEs9(xy302, xy4002) new_esEs6(Just(xy300), Just(xy4000), ty_Int) -> new_esEs12(xy300, xy4000) new_esEs13(Right(xy300), Right(xy4000), bbh, ty_Bool) -> new_esEs7(xy300, xy4000) new_esEs21(xy302, xy4002, app(ty_Ratio, fg)) -> new_esEs8(xy302, xy4002, fg) new_esEs13(Right(xy300), Right(xy4000), bbh, app(ty_[], bed)) -> new_esEs5(xy300, xy4000, bed) new_esEs26(xy310, xy4010, ty_Integer) -> new_esEs15(xy310, xy4010) new_esEs21(xy302, xy4002, ty_Bool) -> new_esEs7(xy302, xy4002) new_esEs24(xy300, xy4000, app(app(ty_@2, bad), bae)) -> new_esEs18(xy300, xy4000, bad, bae) new_esEs25(xy301, xy4001, ty_Int) -> new_esEs12(xy301, xy4001) new_esEs20(xy301, xy4001, ty_Ordering) -> new_esEs17(xy301, xy4001) new_esEs13(Right(xy300), Right(xy4000), bbh, ty_Float) -> new_esEs9(xy300, xy4000) new_esEs20(xy301, xy4001, ty_Float) -> new_esEs9(xy301, xy4001) new_esEs13(Left(xy300), Left(xy4000), app(app(ty_Either, bch), bda), bca) -> new_esEs13(xy300, xy4000, bch, bda) new_primEqNat0(Succ(xy3000), Zero) -> False new_primEqNat0(Zero, Succ(xy40000)) -> False new_esEs19(xy300, xy4000, ty_Integer) -> new_esEs15(xy300, xy4000) new_esEs24(xy300, xy4000, app(ty_[], bac)) -> new_esEs5(xy300, xy4000, bac) new_esEs6(Just(xy300), Just(xy4000), ty_Double) -> new_esEs16(xy300, xy4000) new_esEs26(xy310, xy4010, app(ty_Maybe, bc)) -> new_esEs6(xy310, xy4010, bc) new_esEs21(xy302, xy4002, ty_Ordering) -> new_esEs17(xy302, xy4002) new_esEs13(Left(xy300), Left(xy4000), ty_Ordering, bca) -> new_esEs17(xy300, xy4000) new_esEs25(xy301, xy4001, app(app(ty_@2, bbf), bbg)) -> new_esEs18(xy301, xy4001, bbf, bbg) new_esEs6(Just(xy300), Just(xy4000), ty_@0) -> new_esEs11(xy300, xy4000) new_esEs6(Just(xy300), Just(xy4000), app(ty_[], cc)) -> new_esEs5(xy300, xy4000, cc) new_esEs17(EQ, GT) -> False new_esEs17(GT, EQ) -> False new_esEs7(False, False) -> True new_esEs13(Left(xy300), Left(xy4000), ty_Bool, bca) -> new_esEs7(xy300, xy4000) new_esEs26(xy310, xy4010, ty_Ordering) -> new_esEs17(xy310, xy4010) new_esEs13(Left(xy300), Left(xy4000), ty_Integer, bca) -> new_esEs15(xy300, xy4000) new_esEs17(GT, GT) -> True new_primEqInt(Neg(Succ(xy3000)), Neg(Zero)) -> False new_primEqInt(Neg(Zero), Neg(Succ(xy40000))) -> False new_esEs25(xy301, xy4001, app(ty_Maybe, bbb)) -> new_esEs6(xy301, xy4001, bbb) new_esEs13(Left(xy300), Left(xy4000), app(app(ty_@2, bdc), bdd), bca) -> new_esEs18(xy300, xy4000, bdc, bdd) new_esEs26(xy310, xy4010, app(app(app(ty_@3, cf), cg), da)) -> new_esEs10(xy310, xy4010, cf, cg, da) new_primEqInt(Pos(Succ(xy3000)), Pos(Succ(xy40000))) -> new_primEqNat0(xy3000, xy40000) new_sr(Pos(xy3000), Neg(xy40010)) -> Neg(new_primMulNat0(xy3000, xy40010)) new_sr(Neg(xy3000), Pos(xy40010)) -> Neg(new_primMulNat0(xy3000, xy40010)) new_esEs24(xy300, xy4000, ty_Char) -> new_esEs14(xy300, xy4000) new_primPlusNat1(Succ(xy3200), Succ(xy4001000)) -> Succ(Succ(new_primPlusNat1(xy3200, xy4001000))) new_esEs20(xy301, xy4001, app(ty_Maybe, eh)) -> new_esEs6(xy301, xy4001, eh) new_esEs4(xy30, xy400, ty_Double) -> new_esEs16(xy30, xy400) new_primEqInt(Pos(Succ(xy3000)), Neg(xy4000)) -> False new_primEqInt(Neg(Succ(xy3000)), Pos(xy4000)) -> False new_esEs13(Right(xy300), Right(xy4000), bbh, ty_Ordering) -> new_esEs17(xy300, xy4000) new_esEs19(xy300, xy4000, app(ty_Maybe, df)) -> new_esEs6(xy300, xy4000, df) new_esEs13(Right(xy300), Right(xy4000), bbh, ty_Integer) -> new_esEs15(xy300, xy4000) new_esEs20(xy301, xy4001, ty_Bool) -> new_esEs7(xy301, xy4001) new_esEs21(xy302, xy4002, app(app(app(ty_@3, fh), ga), gb)) -> new_esEs10(xy302, xy4002, fh, ga, gb) new_esEs24(xy300, xy4000, app(app(ty_Either, baa), bab)) -> new_esEs13(xy300, xy4000, baa, bab) new_esEs24(xy300, xy4000, ty_Int) -> new_esEs12(xy300, xy4000) new_esEs13(Right(xy300), Right(xy4000), bbh, ty_Int) -> new_esEs12(xy300, xy4000) new_esEs19(xy300, xy4000, ty_Float) -> new_esEs9(xy300, xy4000) new_esEs24(xy300, xy4000, ty_Ordering) -> new_esEs17(xy300, xy4000) new_esEs6(Just(xy300), Just(xy4000), app(ty_Ratio, bd)) -> new_esEs8(xy300, xy4000, bd) new_esEs13(Right(xy300), Right(xy4000), bbh, app(ty_Maybe, bea)) -> new_esEs6(xy300, xy4000, bea) new_esEs21(xy302, xy4002, ty_Integer) -> new_esEs15(xy302, xy4002) new_esEs7(False, True) -> False new_esEs7(True, False) -> False new_esEs12(xy30, xy400) -> new_primEqInt(xy30, xy400) new_esEs21(xy302, xy4002, ty_Int) -> new_esEs12(xy302, xy4002) new_esEs19(xy300, xy4000, app(ty_Ratio, db)) -> new_esEs8(xy300, xy4000, db) new_esEs13(Left(xy300), Left(xy4000), app(ty_Maybe, bcg), bca) -> new_esEs6(xy300, xy4000, bcg) new_sr(Neg(xy3000), Neg(xy40010)) -> Pos(new_primMulNat0(xy3000, xy40010)) new_esEs25(xy301, xy4001, app(ty_Ratio, baf)) -> new_esEs8(xy301, xy4001, baf) new_esEs4(xy30, xy400, ty_@0) -> new_esEs11(xy30, xy400) new_esEs19(xy300, xy4000, ty_Char) -> new_esEs14(xy300, xy4000) new_primEqInt(Pos(Zero), Neg(Succ(xy40000))) -> False new_primEqInt(Neg(Zero), Pos(Succ(xy40000))) -> False new_esEs19(xy300, xy4000, app(app(ty_@2, eb), ec)) -> new_esEs18(xy300, xy4000, eb, ec) new_esEs6(Just(xy300), Just(xy4000), ty_Float) -> new_esEs9(xy300, xy4000) new_esEs26(xy310, xy4010, ty_Bool) -> new_esEs7(xy310, xy4010) new_esEs4(xy30, xy400, ty_Float) -> new_esEs9(xy30, xy400) new_esEs25(xy301, xy4001, ty_@0) -> new_esEs11(xy301, xy4001) new_esEs17(EQ, EQ) -> True new_esEs5(:(xy310, xy311), :(xy4010, xy4011), bb) -> new_asAs(new_esEs26(xy310, xy4010, bb), new_esEs5(xy311, xy4011, bb)) new_esEs24(xy300, xy4000, ty_Double) -> new_esEs16(xy300, xy4000) new_esEs25(xy301, xy4001, ty_Char) -> new_esEs14(xy301, xy4001) new_primEqInt(Neg(Succ(xy3000)), Neg(Succ(xy40000))) -> new_primEqNat0(xy3000, xy40000) new_esEs17(LT, EQ) -> False new_esEs17(EQ, LT) -> False new_esEs23(xy301, xy4001, ty_Int) -> new_esEs12(xy301, xy4001) new_esEs13(Left(xy300), Left(xy4000), ty_Int, bca) -> new_esEs12(xy300, xy4000) new_esEs20(xy301, xy4001, app(app(ty_@2, fd), ff)) -> new_esEs18(xy301, xy4001, fd, ff) new_primPlusNat0(Succ(xy320), xy400100) -> Succ(Succ(new_primPlusNat1(xy320, xy400100))) new_esEs4(xy30, xy400, app(ty_Ratio, ha)) -> new_esEs8(xy30, xy400, ha) new_esEs20(xy301, xy4001, app(app(app(ty_@3, ee), ef), eg)) -> new_esEs10(xy301, xy4001, ee, ef, eg) new_esEs19(xy300, xy4000, ty_@0) -> new_esEs11(xy300, xy4000) new_esEs24(xy300, xy4000, app(ty_Maybe, hh)) -> new_esEs6(xy300, xy4000, hh) new_primPlusNat1(Zero, Zero) -> Zero new_esEs20(xy301, xy4001, ty_Char) -> new_esEs14(xy301, xy4001) new_primMulNat0(Succ(xy30000), Zero) -> Zero new_primMulNat0(Zero, Succ(xy400100)) -> Zero new_esEs26(xy310, xy4010, ty_Double) -> new_esEs16(xy310, xy4010) new_sr(Pos(xy3000), Pos(xy40010)) -> Pos(new_primMulNat0(xy3000, xy40010)) new_esEs25(xy301, xy4001, ty_Float) -> new_esEs9(xy301, xy4001) new_primPlusNat0(Zero, xy400100) -> Succ(xy400100) new_esEs13(Right(xy300), Right(xy4000), bbh, app(app(ty_Either, beb), bec)) -> new_esEs13(xy300, xy4000, beb, bec) new_esEs6(Just(xy300), Just(xy4000), app(app(ty_@2, cd), ce)) -> new_esEs18(xy300, xy4000, cd, ce) new_esEs20(xy301, xy4001, app(ty_Ratio, ed)) -> new_esEs8(xy301, xy4001, ed) new_esEs20(xy301, xy4001, app(app(ty_Either, fa), fb)) -> new_esEs13(xy301, xy4001, fa, fb) new_esEs24(xy300, xy4000, ty_Bool) -> new_esEs7(xy300, xy4000) new_esEs17(LT, GT) -> False new_esEs17(GT, LT) -> False new_esEs6(Just(xy300), Just(xy4000), ty_Char) -> new_esEs14(xy300, xy4000) new_primEqInt(Neg(Zero), Neg(Zero)) -> True new_primMulNat0(Succ(xy30000), Succ(xy400100)) -> new_primPlusNat0(new_primMulNat0(xy30000, Succ(xy400100)), xy400100) new_esEs19(xy300, xy4000, ty_Double) -> new_esEs16(xy300, xy4000) new_esEs13(Left(xy300), Left(xy4000), ty_@0, bca) -> new_esEs11(xy300, xy4000) new_esEs4(xy30, xy400, ty_Int) -> new_esEs12(xy30, xy400) new_esEs26(xy310, xy4010, ty_Int) -> new_esEs12(xy310, xy4010) new_primPlusNat1(Succ(xy3200), Zero) -> Succ(xy3200) new_primPlusNat1(Zero, Succ(xy4001000)) -> Succ(xy4001000) new_esEs4(xy30, xy400, ty_Char) -> new_esEs14(xy30, xy400) new_esEs4(xy30, xy400, app(app(ty_@2, hb), hc)) -> new_esEs18(xy30, xy400, hb, hc) new_esEs4(xy30, xy400, ty_Integer) -> new_esEs15(xy30, xy400) new_primEqInt(Pos(Zero), Neg(Zero)) -> True new_primEqInt(Neg(Zero), Pos(Zero)) -> True new_esEs20(xy301, xy4001, ty_@0) -> new_esEs11(xy301, xy4001) new_esEs21(xy302, xy4002, app(app(ty_@2, gg), gh)) -> new_esEs18(xy302, xy4002, gg, gh) new_esEs11(@0, @0) -> True new_esEs26(xy310, xy4010, app(app(ty_Either, bbh), bca)) -> new_esEs13(xy310, xy4010, bbh, bca) new_esEs13(Left(xy300), Left(xy4000), app(app(app(ty_@3, bcd), bce), bcf), bca) -> new_esEs10(xy300, xy4000, bcd, bce, bcf) new_esEs23(xy301, xy4001, ty_Integer) -> new_esEs15(xy301, xy4001) new_esEs5(:(xy310, xy311), [], bb) -> False new_esEs5([], :(xy4010, xy4011), bb) -> False new_primEqNat0(Zero, Zero) -> True new_esEs13(Right(xy300), Right(xy4000), bbh, ty_@0) -> new_esEs11(xy300, xy4000) new_esEs13(Right(xy300), Right(xy4000), bbh, app(ty_Ratio, bde)) -> new_esEs8(xy300, xy4000, bde) new_esEs20(xy301, xy4001, ty_Double) -> new_esEs16(xy301, xy4001) new_esEs21(xy302, xy4002, ty_Char) -> new_esEs14(xy302, xy4002) new_esEs13(Right(xy300), Right(xy4000), bbh, app(app(app(ty_@3, bdf), bdg), bdh)) -> new_esEs10(xy300, xy4000, bdf, bdg, bdh) new_esEs24(xy300, xy4000, ty_Float) -> new_esEs9(xy300, xy4000) new_esEs9(Float(xy300, xy301), Float(xy4000, xy4001)) -> new_esEs12(new_sr(xy300, xy4001), new_sr(xy301, xy4000)) new_esEs21(xy302, xy4002, app(app(ty_Either, gd), ge)) -> new_esEs13(xy302, xy4002, gd, ge) new_esEs4(xy30, xy400, ty_Bool) -> new_esEs7(xy30, xy400) new_esEs21(xy302, xy4002, app(ty_[], gf)) -> new_esEs5(xy302, xy4002, gf) new_asAs(False, xy31) -> False new_esEs21(xy302, xy4002, ty_@0) -> new_esEs11(xy302, xy4002) new_esEs7(True, True) -> True new_esEs6(Just(xy300), Just(xy4000), app(ty_Maybe, bh)) -> new_esEs6(xy300, xy4000, bh) new_esEs6(Nothing, Just(xy4000), bc) -> False new_esEs6(Just(xy300), Nothing, bc) -> False new_esEs24(xy300, xy4000, app(ty_Ratio, hd)) -> new_esEs8(xy300, xy4000, hd) new_esEs24(xy300, xy4000, app(app(app(ty_@3, he), hf), hg)) -> new_esEs10(xy300, xy4000, he, hf, hg) new_esEs26(xy310, xy4010, ty_@0) -> new_esEs11(xy310, xy4010) new_esEs13(Left(xy300), Left(xy4000), ty_Double, bca) -> new_esEs16(xy300, xy4000) new_esEs6(Nothing, Nothing, bc) -> True new_esEs6(Just(xy300), Just(xy4000), ty_Ordering) -> new_esEs17(xy300, xy4000) new_esEs26(xy310, xy4010, app(ty_[], bcb)) -> new_esEs5(xy310, xy4010, bcb) new_esEs25(xy301, xy4001, ty_Double) -> new_esEs16(xy301, xy4001) new_esEs6(Just(xy300), Just(xy4000), ty_Integer) -> new_esEs15(xy300, xy4000) The set Q consists of the following terms: new_esEs25(x0, x1, ty_Bool) new_esEs20(x0, x1, app(ty_Ratio, x2)) new_esEs24(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs4(x0, x1, ty_Integer) new_esEs20(x0, x1, ty_Integer) new_esEs19(x0, x1, ty_Double) new_esEs25(x0, x1, app(ty_[], x2)) new_esEs24(x0, x1, app(ty_[], x2)) new_sr(Pos(x0), Neg(x1)) new_sr(Neg(x0), Pos(x1)) new_esEs6(Just(x0), Just(x1), ty_Bool) new_sr(Neg(x0), Neg(x1)) new_primPlusNat1(Zero, Succ(x0)) new_primMulNat0(Zero, Zero) new_esEs25(x0, x1, ty_@0) new_esEs13(Left(x0), Left(x1), ty_Integer, x2) new_primPlusNat1(Zero, Zero) new_esEs25(x0, x1, app(app(ty_Either, x2), x3)) new_esEs24(x0, x1, app(ty_Ratio, x2)) new_esEs24(x0, x1, ty_@0) new_esEs19(x0, x1, ty_Float) new_esEs6(Just(x0), Just(x1), ty_@0) new_primEqInt(Pos(Succ(x0)), Neg(x1)) new_primEqInt(Neg(Succ(x0)), Pos(x1)) new_esEs26(x0, x1, ty_Bool) new_primMulNat0(Zero, Succ(x0)) new_esEs20(x0, x1, ty_Bool) new_primEqInt(Pos(Zero), Pos(Zero)) new_esEs13(Right(x0), Right(x1), x2, app(app(ty_Either, x3), x4)) new_esEs25(x0, x1, ty_Integer) new_esEs6(Just(x0), Just(x1), ty_Integer) new_esEs13(Left(x0), Left(x1), app(ty_Ratio, x2), x3) new_esEs13(Right(x0), Right(x1), x2, ty_Double) new_primEqInt(Pos(Zero), Neg(Succ(x0))) new_primEqInt(Neg(Zero), Pos(Succ(x0))) new_esEs13(Left(x0), Left(x1), app(ty_[], x2), x3) new_esEs5([], [], x0) new_esEs13(Left(x0), Right(x1), x2, x3) new_esEs13(Right(x0), Left(x1), x2, x3) new_esEs4(x0, x1, app(ty_Ratio, x2)) new_esEs21(x0, x1, app(app(ty_Either, x2), x3)) new_esEs21(x0, x1, app(ty_Maybe, x2)) new_esEs25(x0, x1, app(ty_Ratio, x2)) new_esEs19(x0, x1, app(app(ty_Either, x2), x3)) new_primEqInt(Neg(Zero), Neg(Zero)) new_esEs18(@2(x0, x1), @2(x2, x3), x4, x5) new_sr(Pos(x0), Pos(x1)) new_primMulNat0(Succ(x0), Zero) new_esEs7(False, False) new_esEs13(Left(x0), Left(x1), ty_Double, x2) new_primEqNat0(Succ(x0), Succ(x1)) new_esEs4(x0, x1, app(ty_Maybe, x2)) new_esEs7(True, True) new_esEs13(Left(x0), Left(x1), ty_Ordering, x2) new_esEs17(LT, EQ) new_esEs17(EQ, LT) new_asAs(True, x0) new_primPlusNat1(Succ(x0), Succ(x1)) new_asAs(False, x0) new_esEs19(x0, x1, ty_Integer) new_esEs21(x0, x1, ty_@0) new_esEs13(Right(x0), Right(x1), x2, app(ty_[], x3)) new_esEs26(x0, x1, app(ty_Ratio, x2)) new_esEs24(x0, x1, ty_Integer) new_esEs24(x0, x1, ty_Ordering) new_esEs24(x0, x1, app(ty_Maybe, x2)) new_esEs10(@3(x0, x1, x2), @3(x3, x4, x5), x6, x7, x8) new_esEs20(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs20(x0, x1, app(app(ty_@2, x2), x3)) new_esEs22(x0, x1, ty_Int) new_esEs21(x0, x1, ty_Float) new_esEs21(x0, x1, app(ty_Ratio, x2)) new_esEs13(Left(x0), Left(x1), ty_Bool, x2) new_esEs17(GT, GT) new_esEs4(x0, x1, ty_Bool) new_esEs25(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs13(Right(x0), Right(x1), x2, ty_Int) new_esEs6(Just(x0), Just(x1), app(ty_Maybe, x2)) new_esEs17(EQ, GT) new_esEs17(GT, EQ) new_esEs25(x0, x1, ty_Int) new_primEqInt(Pos(Zero), Neg(Zero)) new_primEqInt(Neg(Zero), Pos(Zero)) new_esEs13(Left(x0), Left(x1), app(ty_Maybe, x2), x3) new_esEs6(Just(x0), Just(x1), app(ty_Ratio, x2)) new_esEs26(x0, x1, ty_Ordering) new_esEs23(x0, x1, ty_Integer) new_esEs12(x0, x1) new_esEs17(EQ, EQ) new_esEs9(Float(x0, x1), Float(x2, x3)) new_primPlusNat0(Succ(x0), x1) new_esEs25(x0, x1, app(ty_Maybe, x2)) new_esEs19(x0, x1, ty_Ordering) new_primEqInt(Neg(Zero), Neg(Succ(x0))) new_esEs6(Just(x0), Just(x1), ty_Double) new_esEs25(x0, x1, ty_Char) new_esEs26(x0, x1, app(app(ty_Either, x2), x3)) new_esEs6(Just(x0), Just(x1), ty_Char) new_esEs6(Just(x0), Just(x1), app(app(app(ty_@3, x2), x3), x4)) new_esEs26(x0, x1, ty_Integer) new_primEqInt(Pos(Succ(x0)), Pos(Succ(x1))) new_esEs13(Right(x0), Right(x1), x2, ty_Float) new_esEs6(Just(x0), Just(x1), app(app(ty_@2, x2), x3)) new_esEs13(Right(x0), Right(x1), x2, app(app(ty_@2, x3), x4)) new_esEs5([], :(x0, x1), x2) new_esEs20(x0, x1, ty_Int) new_esEs13(Left(x0), Left(x1), ty_Char, x2) new_esEs24(x0, x1, app(app(ty_@2, x2), x3)) new_esEs6(Just(x0), Just(x1), ty_Ordering) new_esEs20(x0, x1, app(app(ty_Either, x2), x3)) new_esEs25(x0, x1, ty_Float) new_esEs17(LT, GT) new_esEs17(GT, LT) new_esEs4(x0, x1, ty_Int) new_esEs25(x0, x1, ty_Double) new_esEs25(x0, x1, ty_Ordering) new_esEs19(x0, x1, ty_@0) new_esEs13(Right(x0), Right(x1), x2, ty_@0) new_esEs6(Nothing, Nothing, x0) new_esEs19(x0, x1, app(ty_Ratio, x2)) new_esEs6(Just(x0), Just(x1), ty_Int) new_esEs23(x0, x1, ty_Int) new_esEs13(Left(x0), Left(x1), app(app(app(ty_@3, x2), x3), x4), x5) new_esEs19(x0, x1, ty_Bool) new_esEs26(x0, x1, app(app(ty_@2, x2), x3)) new_primPlusNat0(Zero, x0) new_esEs4(x0, x1, app(app(ty_Either, x2), x3)) new_primEqInt(Neg(Succ(x0)), Neg(Zero)) new_primEqInt(Neg(Succ(x0)), Neg(Succ(x1))) new_esEs26(x0, x1, ty_Int) new_primEqInt(Pos(Succ(x0)), Pos(Zero)) new_esEs24(x0, x1, ty_Float) new_esEs20(x0, x1, ty_Double) new_esEs13(Right(x0), Right(x1), x2, ty_Bool) new_esEs21(x0, x1, ty_Int) new_esEs20(x0, x1, ty_Ordering) new_esEs26(x0, x1, ty_Double) new_esEs16(Double(x0, x1), Double(x2, x3)) new_esEs4(x0, x1, ty_Double) new_esEs26(x0, x1, ty_Char) new_esEs11(@0, @0) new_esEs4(x0, x1, ty_Ordering) new_esEs21(x0, x1, ty_Char) new_esEs13(Right(x0), Right(x1), x2, ty_Char) new_esEs4(x0, x1, ty_Char) new_esEs6(Just(x0), Just(x1), ty_Float) new_esEs4(x0, x1, app(app(ty_@2, x2), x3)) new_esEs19(x0, x1, app(app(ty_@2, x2), x3)) new_esEs15(Integer(x0), Integer(x1)) new_esEs19(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs13(Left(x0), Left(x1), ty_Int, x2) new_esEs20(x0, x1, ty_Char) new_esEs19(x0, x1, app(ty_[], x2)) new_esEs6(Nothing, Just(x0), x1) new_esEs13(Right(x0), Right(x1), x2, app(app(app(ty_@3, x3), x4), x5)) new_esEs22(x0, x1, ty_Integer) new_esEs26(x0, x1, app(ty_Maybe, x2)) new_primEqNat0(Zero, Zero) new_esEs20(x0, x1, app(ty_[], x2)) new_esEs21(x0, x1, ty_Ordering) new_esEs6(Just(x0), Just(x1), app(app(ty_Either, x2), x3)) new_esEs13(Right(x0), Right(x1), x2, ty_Integer) new_esEs19(x0, x1, ty_Char) new_esEs13(Right(x0), Right(x1), x2, app(ty_Maybe, x3)) new_esEs6(Just(x0), Nothing, x1) new_esEs21(x0, x1, app(app(ty_@2, x2), x3)) new_esEs20(x0, x1, app(ty_Maybe, x2)) new_esEs21(x0, x1, ty_Double) new_esEs25(x0, x1, app(app(ty_@2, x2), x3)) new_esEs13(Left(x0), Left(x1), ty_@0, x2) new_esEs17(LT, LT) new_esEs24(x0, x1, ty_Int) new_esEs14(Char(x0), Char(x1)) new_esEs4(x0, x1, ty_@0) new_esEs26(x0, x1, ty_@0) new_primPlusNat1(Succ(x0), Zero) new_primEqNat0(Succ(x0), Zero) new_esEs6(Just(x0), Just(x1), app(ty_[], x2)) new_esEs20(x0, x1, ty_@0) new_primMulNat0(Succ(x0), Succ(x1)) new_esEs24(x0, x1, ty_Bool) new_esEs13(Left(x0), Left(x1), ty_Float, x2) new_esEs4(x0, x1, ty_Float) new_esEs5(:(x0, x1), :(x2, x3), x4) new_primEqInt(Pos(Zero), Pos(Succ(x0))) new_esEs21(x0, x1, ty_Bool) new_esEs20(x0, x1, ty_Float) new_esEs24(x0, x1, ty_Double) new_esEs4(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs21(x0, x1, ty_Integer) new_esEs13(Right(x0), Right(x1), x2, ty_Ordering) new_esEs24(x0, x1, app(app(ty_Either, x2), x3)) new_esEs26(x0, x1, app(ty_[], x2)) new_esEs8(:%(x0, x1), :%(x2, x3), x4) new_esEs21(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs13(Left(x0), Left(x1), app(app(ty_Either, x2), x3), x4) new_esEs5(:(x0, x1), [], x2) new_esEs13(Right(x0), Right(x1), x2, app(ty_Ratio, x3)) new_esEs13(Left(x0), Left(x1), app(app(ty_@2, x2), x3), x4) new_esEs19(x0, x1, app(ty_Maybe, x2)) new_esEs19(x0, x1, ty_Int) new_esEs24(x0, x1, ty_Char) new_esEs21(x0, x1, app(ty_[], x2)) new_esEs4(x0, x1, app(ty_[], x2)) new_primEqNat0(Zero, Succ(x0)) new_esEs26(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs26(x0, x1, ty_Float) new_esEs7(False, True) new_esEs7(True, False) We have to consider all minimal (P,Q,R)-chains. ---------------------------------------- (22) QDPSizeChangeProof (EQUIVALENT) By using the subterm criterion [SUBTERM_CRITERION] together with the size-change analysis [AAECC05] we have proven that there are no infinite chains for this DP problem. From the DPs we obtained the following set of size-change graphs: *new_deleteBy0(xy12, xy13, xy14, xy15, xy16, False, ba) -> new_deleteBy(:(xy15, xy16), xy12, ba) The graph contains the following edges 1 >= 2, 7 >= 3 *new_deleteBy(:(xy30, xy31), :([], xy41), bb) -> new_deleteBy(:(xy30, xy31), xy41, bb) The graph contains the following edges 1 >= 1, 2 > 2, 3 >= 3 *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) The graph contains the following edges 2 > 1, 2 > 2, 2 > 3, 1 > 4, 1 > 5, 3 >= 7 ---------------------------------------- (23) YES ---------------------------------------- (24) Obligation: Q DP problem: The TRS P consists of the following rules: new_primPlusNat(Succ(xy3200), Succ(xy4001000)) -> new_primPlusNat(xy3200, xy4001000) R is empty. Q is empty. We have to consider all minimal (P,Q,R)-chains. ---------------------------------------- (25) QDPSizeChangeProof (EQUIVALENT) By using the subterm criterion [SUBTERM_CRITERION] together with the size-change analysis [AAECC05] we have proven that there are no infinite chains for this DP problem. From the DPs we obtained the following set of size-change graphs: *new_primPlusNat(Succ(xy3200), Succ(xy4001000)) -> new_primPlusNat(xy3200, xy4001000) The graph contains the following edges 1 > 1, 2 > 2 ---------------------------------------- (26) YES ---------------------------------------- (27) Obligation: Q DP problem: The TRS P consists of the following rules: new_primEqNat(Succ(xy3000), Succ(xy40000)) -> new_primEqNat(xy3000, xy40000) R is empty. Q is empty. We have to consider all minimal (P,Q,R)-chains. ---------------------------------------- (28) QDPSizeChangeProof (EQUIVALENT) By using the subterm criterion [SUBTERM_CRITERION] together with the size-change analysis [AAECC05] we have proven that there are no infinite chains for this DP problem. From the DPs we obtained the following set of size-change graphs: *new_primEqNat(Succ(xy3000), Succ(xy40000)) -> new_primEqNat(xy3000, xy40000) The graph contains the following edges 1 > 1, 2 > 2 ---------------------------------------- (29) YES