/export/starexec/sandbox2/solver/bin/starexec_run_standard /export/starexec/sandbox2/benchmark/theBenchmark.hs /export/starexec/sandbox2/output/output_files -------------------------------------------------------------------------------- YES proof of /export/starexec/sandbox2/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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty H-Termination with start terms of the given HASKELL could be proven: (0) HASKELL (1) BR [EQUIVALENT, 0 ms] (2) HASKELL (3) COR [EQUIVALENT, 0 ms] (4) HASKELL (5) Narrow [SOUND, 0 ms] (6) AND (7) QDP (8) QDPSizeChangeProof [EQUIVALENT, 0 ms] (9) YES (10) QDP (11) QDPSizeChangeProof [EQUIVALENT, 9 ms] (12) YES (13) QDP (14) QDPSizeChangeProof [EQUIVALENT, 0 ms] (15) YES (16) QDP (17) QDPSizeChangeProof [EQUIVALENT, 0 ms] (18) YES (19) QDP (20) QDPSizeChangeProof [EQUIVALENT, 0 ms] (21) YES ---------------------------------------- (0) Obligation: mainModule Main module Main where { import qualified Prelude; } ---------------------------------------- (1) BR (EQUIVALENT) Replaced joker patterns by fresh variables and removed binding patterns. ---------------------------------------- (2) Obligation: mainModule Main module Main where { import qualified Prelude; } ---------------------------------------- (3) COR (EQUIVALENT) Cond Reductions: The following Function with conditions "lookup k [] = Nothing; lookup k ((x,y) : xys)|k == xJust y|otherwiselookup k xys; " is transformed to "lookup k [] = lookup3 k []; lookup k ((x,y) : xys) = lookup2 k ((x,y) : xys); " "lookup1 k x y xys True = Just y; lookup1 k x y xys False = lookup0 k x y xys otherwise; " "lookup0 k x y xys True = lookup k xys; " "lookup2 k ((x,y) : xys) = lookup1 k x y xys (k == x); " "lookup3 k [] = Nothing; lookup3 xy xz = lookup2 xy xz; " The following Function with conditions "undefined |Falseundefined; " is transformed to "undefined = undefined1; " "undefined0 True = undefined; " "undefined1 = undefined0 False; " ---------------------------------------- (4) Obligation: mainModule Main module Main where { import qualified Prelude; } ---------------------------------------- (5) Narrow (SOUND) Haskell To QDPs digraph dp_graph { node [outthreshold=100, inthreshold=100];1[label="lookup",fontsize=16,color="grey",shape="box"];1 -> 3[label="",style="dashed", color="grey", weight=3]; 3[label="lookup yu3",fontsize=16,color="grey",shape="box"];3 -> 4[label="",style="dashed", color="grey", weight=3]; 4[label="lookup yu3 yu4",fontsize=16,color="burlywood",shape="triangle"];997[label="yu4/yu40 : yu41",fontsize=10,color="white",style="solid",shape="box"];4 -> 997[label="",style="solid", color="burlywood", weight=9]; 997 -> 5[label="",style="solid", color="burlywood", weight=3]; 998[label="yu4/[]",fontsize=10,color="white",style="solid",shape="box"];4 -> 998[label="",style="solid", color="burlywood", weight=9]; 998 -> 6[label="",style="solid", color="burlywood", weight=3]; 5[label="lookup yu3 (yu40 : yu41)",fontsize=16,color="burlywood",shape="box"];999[label="yu40/(yu400,yu401)",fontsize=10,color="white",style="solid",shape="box"];5 -> 999[label="",style="solid", color="burlywood", weight=9]; 999 -> 7[label="",style="solid", color="burlywood", weight=3]; 6[label="lookup yu3 []",fontsize=16,color="black",shape="box"];6 -> 8[label="",style="solid", color="black", weight=3]; 7[label="lookup yu3 ((yu400,yu401) : yu41)",fontsize=16,color="black",shape="box"];7 -> 9[label="",style="solid", color="black", weight=3]; 8[label="lookup3 yu3 []",fontsize=16,color="black",shape="box"];8 -> 10[label="",style="solid", color="black", weight=3]; 9[label="lookup2 yu3 ((yu400,yu401) : yu41)",fontsize=16,color="black",shape="box"];9 -> 11[label="",style="solid", color="black", weight=3]; 10[label="Nothing",fontsize=16,color="green",shape="box"];11[label="lookup1 yu3 yu400 yu401 yu41 (yu3 == yu400)",fontsize=16,color="burlywood",shape="box"];1000[label="yu3/(yu30,yu31)",fontsize=10,color="white",style="solid",shape="box"];11 -> 1000[label="",style="solid", color="burlywood", weight=9]; 1000 -> 12[label="",style="solid", color="burlywood", weight=3]; 12[label="lookup1 (yu30,yu31) yu400 yu401 yu41 ((yu30,yu31) == yu400)",fontsize=16,color="burlywood",shape="box"];1001[label="yu400/(yu4000,yu4001)",fontsize=10,color="white",style="solid",shape="box"];12 -> 1001[label="",style="solid", color="burlywood", weight=9]; 1001 -> 13[label="",style="solid", color="burlywood", weight=3]; 13[label="lookup1 (yu30,yu31) (yu4000,yu4001) yu401 yu41 ((yu30,yu31) == (yu4000,yu4001))",fontsize=16,color="black",shape="box"];13 -> 14[label="",style="solid", color="black", weight=3]; 14 -> 97[label="",style="dashed", color="red", weight=0]; 14[label="lookup1 (yu30,yu31) (yu4000,yu4001) yu401 yu41 (yu30 == yu4000 && yu31 == yu4001)",fontsize=16,color="magenta"];14 -> 98[label="",style="dashed", color="magenta", weight=3]; 14 -> 99[label="",style="dashed", color="magenta", weight=3]; 14 -> 100[label="",style="dashed", color="magenta", weight=3]; 14 -> 101[label="",style="dashed", color="magenta", weight=3]; 14 -> 102[label="",style="dashed", color="magenta", weight=3]; 14 -> 103[label="",style="dashed", color="magenta", weight=3]; 14 -> 104[label="",style="dashed", color="magenta", weight=3]; 98[label="yu4000",fontsize=16,color="green",shape="box"];99[label="yu4001",fontsize=16,color="green",shape="box"];100[label="yu30",fontsize=16,color="green",shape="box"];101[label="yu401",fontsize=16,color="green",shape="box"];102[label="yu41",fontsize=16,color="green",shape="box"];103[label="yu31",fontsize=16,color="green",shape="box"];104 -> 322[label="",style="dashed", color="red", weight=0]; 104[label="yu30 == yu4000 && yu31 == yu4001",fontsize=16,color="magenta"];104 -> 323[label="",style="dashed", color="magenta", weight=3]; 104 -> 324[label="",style="dashed", color="magenta", weight=3]; 97[label="lookup1 (yu28,yu29) (yu30,yu31) yu32 yu33 yu34",fontsize=16,color="burlywood",shape="triangle"];1002[label="yu34/False",fontsize=10,color="white",style="solid",shape="box"];97 -> 1002[label="",style="solid", color="burlywood", weight=9]; 1002 -> 130[label="",style="solid", color="burlywood", weight=3]; 1003[label="yu34/True",fontsize=10,color="white",style="solid",shape="box"];97 -> 1003[label="",style="solid", color="burlywood", weight=9]; 1003 -> 131[label="",style="solid", color="burlywood", weight=3]; 323[label="yu30 == yu4000",fontsize=16,color="blue",shape="box"];1004[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];323 -> 1004[label="",style="solid", color="blue", weight=9]; 1004 -> 327[label="",style="solid", color="blue", weight=3]; 1005[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];323 -> 1005[label="",style="solid", color="blue", weight=9]; 1005 -> 328[label="",style="solid", color="blue", weight=3]; 1006[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];323 -> 1006[label="",style="solid", color="blue", weight=9]; 1006 -> 329[label="",style="solid", color="blue", weight=3]; 1007[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];323 -> 1007[label="",style="solid", color="blue", weight=9]; 1007 -> 330[label="",style="solid", color="blue", weight=3]; 1008[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];323 -> 1008[label="",style="solid", color="blue", weight=9]; 1008 -> 331[label="",style="solid", color="blue", weight=3]; 1009[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];323 -> 1009[label="",style="solid", color="blue", weight=9]; 1009 -> 332[label="",style="solid", color="blue", weight=3]; 1010[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];323 -> 1010[label="",style="solid", color="blue", weight=9]; 1010 -> 333[label="",style="solid", color="blue", weight=3]; 1011[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];323 -> 1011[label="",style="solid", color="blue", weight=9]; 1011 -> 334[label="",style="solid", color="blue", weight=3]; 1012[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];323 -> 1012[label="",style="solid", color="blue", weight=9]; 1012 -> 335[label="",style="solid", color="blue", weight=3]; 1013[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];323 -> 1013[label="",style="solid", color="blue", weight=9]; 1013 -> 336[label="",style="solid", color="blue", weight=3]; 1014[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];323 -> 1014[label="",style="solid", color="blue", weight=9]; 1014 -> 337[label="",style="solid", color="blue", weight=3]; 1015[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];323 -> 1015[label="",style="solid", color="blue", weight=9]; 1015 -> 338[label="",style="solid", color="blue", weight=3]; 1016[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];323 -> 1016[label="",style="solid", color="blue", weight=9]; 1016 -> 339[label="",style="solid", color="blue", weight=3]; 1017[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];323 -> 1017[label="",style="solid", color="blue", weight=9]; 1017 -> 340[label="",style="solid", color="blue", weight=3]; 324[label="yu31 == yu4001",fontsize=16,color="blue",shape="box"];1018[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];324 -> 1018[label="",style="solid", color="blue", weight=9]; 1018 -> 341[label="",style="solid", color="blue", weight=3]; 1019[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];324 -> 1019[label="",style="solid", color="blue", weight=9]; 1019 -> 342[label="",style="solid", color="blue", weight=3]; 1020[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];324 -> 1020[label="",style="solid", color="blue", weight=9]; 1020 -> 343[label="",style="solid", color="blue", weight=3]; 1021[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];324 -> 1021[label="",style="solid", color="blue", weight=9]; 1021 -> 344[label="",style="solid", color="blue", weight=3]; 1022[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];324 -> 1022[label="",style="solid", color="blue", weight=9]; 1022 -> 345[label="",style="solid", color="blue", weight=3]; 1023[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];324 -> 1023[label="",style="solid", color="blue", weight=9]; 1023 -> 346[label="",style="solid", color="blue", weight=3]; 1024[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];324 -> 1024[label="",style="solid", color="blue", weight=9]; 1024 -> 347[label="",style="solid", color="blue", weight=3]; 1025[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];324 -> 1025[label="",style="solid", color="blue", weight=9]; 1025 -> 348[label="",style="solid", color="blue", weight=3]; 1026[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];324 -> 1026[label="",style="solid", color="blue", weight=9]; 1026 -> 349[label="",style="solid", color="blue", weight=3]; 1027[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];324 -> 1027[label="",style="solid", color="blue", weight=9]; 1027 -> 350[label="",style="solid", color="blue", weight=3]; 1028[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];324 -> 1028[label="",style="solid", color="blue", weight=9]; 1028 -> 351[label="",style="solid", color="blue", weight=3]; 1029[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];324 -> 1029[label="",style="solid", color="blue", weight=9]; 1029 -> 352[label="",style="solid", color="blue", weight=3]; 1030[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];324 -> 1030[label="",style="solid", color="blue", weight=9]; 1030 -> 353[label="",style="solid", color="blue", weight=3]; 1031[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];324 -> 1031[label="",style="solid", color="blue", weight=9]; 1031 -> 354[label="",style="solid", color="blue", weight=3]; 322[label="yu46 && yu47",fontsize=16,color="burlywood",shape="triangle"];1032[label="yu46/False",fontsize=10,color="white",style="solid",shape="box"];322 -> 1032[label="",style="solid", color="burlywood", weight=9]; 1032 -> 355[label="",style="solid", color="burlywood", weight=3]; 1033[label="yu46/True",fontsize=10,color="white",style="solid",shape="box"];322 -> 1033[label="",style="solid", color="burlywood", weight=9]; 1033 -> 356[label="",style="solid", color="burlywood", weight=3]; 130[label="lookup1 (yu28,yu29) (yu30,yu31) yu32 yu33 False",fontsize=16,color="black",shape="box"];130 -> 148[label="",style="solid", color="black", weight=3]; 131[label="lookup1 (yu28,yu29) (yu30,yu31) yu32 yu33 True",fontsize=16,color="black",shape="box"];131 -> 149[label="",style="solid", color="black", weight=3]; 327[label="yu30 == yu4000",fontsize=16,color="burlywood",shape="triangle"];1034[label="yu30/LT",fontsize=10,color="white",style="solid",shape="box"];327 -> 1034[label="",style="solid", color="burlywood", weight=9]; 1034 -> 357[label="",style="solid", color="burlywood", weight=3]; 1035[label="yu30/EQ",fontsize=10,color="white",style="solid",shape="box"];327 -> 1035[label="",style="solid", color="burlywood", weight=9]; 1035 -> 358[label="",style="solid", color="burlywood", weight=3]; 1036[label="yu30/GT",fontsize=10,color="white",style="solid",shape="box"];327 -> 1036[label="",style="solid", color="burlywood", weight=9]; 1036 -> 359[label="",style="solid", color="burlywood", weight=3]; 328[label="yu30 == yu4000",fontsize=16,color="black",shape="triangle"];328 -> 360[label="",style="solid", color="black", weight=3]; 329[label="yu30 == yu4000",fontsize=16,color="burlywood",shape="triangle"];1037[label="yu30/yu300 :% yu301",fontsize=10,color="white",style="solid",shape="box"];329 -> 1037[label="",style="solid", color="burlywood", weight=9]; 1037 -> 361[label="",style="solid", color="burlywood", weight=3]; 330[label="yu30 == yu4000",fontsize=16,color="burlywood",shape="triangle"];1038[label="yu30/(yu300,yu301,yu302)",fontsize=10,color="white",style="solid",shape="box"];330 -> 1038[label="",style="solid", color="burlywood", weight=9]; 1038 -> 362[label="",style="solid", color="burlywood", weight=3]; 331[label="yu30 == yu4000",fontsize=16,color="burlywood",shape="triangle"];1039[label="yu30/Integer yu300",fontsize=10,color="white",style="solid",shape="box"];331 -> 1039[label="",style="solid", color="burlywood", weight=9]; 1039 -> 363[label="",style="solid", color="burlywood", weight=3]; 332[label="yu30 == yu4000",fontsize=16,color="burlywood",shape="triangle"];1040[label="yu30/Left yu300",fontsize=10,color="white",style="solid",shape="box"];332 -> 1040[label="",style="solid", color="burlywood", weight=9]; 1040 -> 364[label="",style="solid", color="burlywood", weight=3]; 1041[label="yu30/Right yu300",fontsize=10,color="white",style="solid",shape="box"];332 -> 1041[label="",style="solid", color="burlywood", weight=9]; 1041 -> 365[label="",style="solid", color="burlywood", weight=3]; 333[label="yu30 == yu4000",fontsize=16,color="black",shape="triangle"];333 -> 366[label="",style="solid", color="black", weight=3]; 334[label="yu30 == yu4000",fontsize=16,color="burlywood",shape="triangle"];1042[label="yu30/()",fontsize=10,color="white",style="solid",shape="box"];334 -> 1042[label="",style="solid", color="burlywood", weight=9]; 1042 -> 367[label="",style="solid", color="burlywood", weight=3]; 335[label="yu30 == yu4000",fontsize=16,color="burlywood",shape="triangle"];1043[label="yu30/False",fontsize=10,color="white",style="solid",shape="box"];335 -> 1043[label="",style="solid", color="burlywood", weight=9]; 1043 -> 368[label="",style="solid", color="burlywood", weight=3]; 1044[label="yu30/True",fontsize=10,color="white",style="solid",shape="box"];335 -> 1044[label="",style="solid", color="burlywood", weight=9]; 1044 -> 369[label="",style="solid", color="burlywood", weight=3]; 336[label="yu30 == yu4000",fontsize=16,color="burlywood",shape="triangle"];1045[label="yu30/yu300 : yu301",fontsize=10,color="white",style="solid",shape="box"];336 -> 1045[label="",style="solid", color="burlywood", weight=9]; 1045 -> 370[label="",style="solid", color="burlywood", weight=3]; 1046[label="yu30/[]",fontsize=10,color="white",style="solid",shape="box"];336 -> 1046[label="",style="solid", color="burlywood", weight=9]; 1046 -> 371[label="",style="solid", color="burlywood", weight=3]; 337[label="yu30 == yu4000",fontsize=16,color="burlywood",shape="triangle"];1047[label="yu30/Nothing",fontsize=10,color="white",style="solid",shape="box"];337 -> 1047[label="",style="solid", color="burlywood", weight=9]; 1047 -> 372[label="",style="solid", color="burlywood", weight=3]; 1048[label="yu30/Just yu300",fontsize=10,color="white",style="solid",shape="box"];337 -> 1048[label="",style="solid", color="burlywood", weight=9]; 1048 -> 373[label="",style="solid", color="burlywood", weight=3]; 338[label="yu30 == yu4000",fontsize=16,color="black",shape="triangle"];338 -> 374[label="",style="solid", color="black", weight=3]; 339[label="yu30 == yu4000",fontsize=16,color="black",shape="triangle"];339 -> 375[label="",style="solid", color="black", weight=3]; 340[label="yu30 == yu4000",fontsize=16,color="burlywood",shape="triangle"];1049[label="yu30/(yu300,yu301)",fontsize=10,color="white",style="solid",shape="box"];340 -> 1049[label="",style="solid", color="burlywood", weight=9]; 1049 -> 376[label="",style="solid", color="burlywood", weight=3]; 341 -> 327[label="",style="dashed", color="red", weight=0]; 341[label="yu31 == yu4001",fontsize=16,color="magenta"];341 -> 377[label="",style="dashed", color="magenta", weight=3]; 341 -> 378[label="",style="dashed", color="magenta", weight=3]; 342 -> 328[label="",style="dashed", color="red", weight=0]; 342[label="yu31 == yu4001",fontsize=16,color="magenta"];342 -> 379[label="",style="dashed", color="magenta", weight=3]; 342 -> 380[label="",style="dashed", color="magenta", weight=3]; 343 -> 329[label="",style="dashed", color="red", weight=0]; 343[label="yu31 == yu4001",fontsize=16,color="magenta"];343 -> 381[label="",style="dashed", color="magenta", weight=3]; 343 -> 382[label="",style="dashed", color="magenta", weight=3]; 344 -> 330[label="",style="dashed", color="red", weight=0]; 344[label="yu31 == yu4001",fontsize=16,color="magenta"];344 -> 383[label="",style="dashed", color="magenta", weight=3]; 344 -> 384[label="",style="dashed", color="magenta", weight=3]; 345 -> 331[label="",style="dashed", color="red", weight=0]; 345[label="yu31 == yu4001",fontsize=16,color="magenta"];345 -> 385[label="",style="dashed", color="magenta", weight=3]; 345 -> 386[label="",style="dashed", color="magenta", weight=3]; 346 -> 332[label="",style="dashed", color="red", weight=0]; 346[label="yu31 == yu4001",fontsize=16,color="magenta"];346 -> 387[label="",style="dashed", color="magenta", weight=3]; 346 -> 388[label="",style="dashed", color="magenta", weight=3]; 347 -> 333[label="",style="dashed", color="red", weight=0]; 347[label="yu31 == yu4001",fontsize=16,color="magenta"];347 -> 389[label="",style="dashed", color="magenta", weight=3]; 347 -> 390[label="",style="dashed", color="magenta", weight=3]; 348 -> 334[label="",style="dashed", color="red", weight=0]; 348[label="yu31 == yu4001",fontsize=16,color="magenta"];348 -> 391[label="",style="dashed", color="magenta", weight=3]; 348 -> 392[label="",style="dashed", color="magenta", weight=3]; 349 -> 335[label="",style="dashed", color="red", weight=0]; 349[label="yu31 == yu4001",fontsize=16,color="magenta"];349 -> 393[label="",style="dashed", color="magenta", weight=3]; 349 -> 394[label="",style="dashed", color="magenta", weight=3]; 350 -> 336[label="",style="dashed", color="red", weight=0]; 350[label="yu31 == yu4001",fontsize=16,color="magenta"];350 -> 395[label="",style="dashed", color="magenta", weight=3]; 350 -> 396[label="",style="dashed", color="magenta", weight=3]; 351 -> 337[label="",style="dashed", color="red", weight=0]; 351[label="yu31 == yu4001",fontsize=16,color="magenta"];351 -> 397[label="",style="dashed", color="magenta", weight=3]; 351 -> 398[label="",style="dashed", color="magenta", weight=3]; 352 -> 338[label="",style="dashed", color="red", weight=0]; 352[label="yu31 == yu4001",fontsize=16,color="magenta"];352 -> 399[label="",style="dashed", color="magenta", weight=3]; 352 -> 400[label="",style="dashed", color="magenta", weight=3]; 353 -> 339[label="",style="dashed", color="red", weight=0]; 353[label="yu31 == yu4001",fontsize=16,color="magenta"];353 -> 401[label="",style="dashed", color="magenta", weight=3]; 353 -> 402[label="",style="dashed", color="magenta", weight=3]; 354 -> 340[label="",style="dashed", color="red", weight=0]; 354[label="yu31 == yu4001",fontsize=16,color="magenta"];354 -> 403[label="",style="dashed", color="magenta", weight=3]; 354 -> 404[label="",style="dashed", color="magenta", weight=3]; 355[label="False && yu47",fontsize=16,color="black",shape="box"];355 -> 405[label="",style="solid", color="black", weight=3]; 356[label="True && yu47",fontsize=16,color="black",shape="box"];356 -> 406[label="",style="solid", color="black", weight=3]; 148[label="lookup0 (yu28,yu29) (yu30,yu31) yu32 yu33 otherwise",fontsize=16,color="black",shape="box"];148 -> 172[label="",style="solid", color="black", weight=3]; 149[label="Just yu32",fontsize=16,color="green",shape="box"];357[label="LT == yu4000",fontsize=16,color="burlywood",shape="box"];1050[label="yu4000/LT",fontsize=10,color="white",style="solid",shape="box"];357 -> 1050[label="",style="solid", color="burlywood", weight=9]; 1050 -> 407[label="",style="solid", color="burlywood", weight=3]; 1051[label="yu4000/EQ",fontsize=10,color="white",style="solid",shape="box"];357 -> 1051[label="",style="solid", color="burlywood", weight=9]; 1051 -> 408[label="",style="solid", color="burlywood", weight=3]; 1052[label="yu4000/GT",fontsize=10,color="white",style="solid",shape="box"];357 -> 1052[label="",style="solid", color="burlywood", weight=9]; 1052 -> 409[label="",style="solid", color="burlywood", weight=3]; 358[label="EQ == yu4000",fontsize=16,color="burlywood",shape="box"];1053[label="yu4000/LT",fontsize=10,color="white",style="solid",shape="box"];358 -> 1053[label="",style="solid", color="burlywood", weight=9]; 1053 -> 410[label="",style="solid", color="burlywood", weight=3]; 1054[label="yu4000/EQ",fontsize=10,color="white",style="solid",shape="box"];358 -> 1054[label="",style="solid", color="burlywood", weight=9]; 1054 -> 411[label="",style="solid", color="burlywood", weight=3]; 1055[label="yu4000/GT",fontsize=10,color="white",style="solid",shape="box"];358 -> 1055[label="",style="solid", color="burlywood", weight=9]; 1055 -> 412[label="",style="solid", color="burlywood", weight=3]; 359[label="GT == yu4000",fontsize=16,color="burlywood",shape="box"];1056[label="yu4000/LT",fontsize=10,color="white",style="solid",shape="box"];359 -> 1056[label="",style="solid", color="burlywood", weight=9]; 1056 -> 413[label="",style="solid", color="burlywood", weight=3]; 1057[label="yu4000/EQ",fontsize=10,color="white",style="solid",shape="box"];359 -> 1057[label="",style="solid", color="burlywood", weight=9]; 1057 -> 414[label="",style="solid", color="burlywood", weight=3]; 1058[label="yu4000/GT",fontsize=10,color="white",style="solid",shape="box"];359 -> 1058[label="",style="solid", color="burlywood", weight=9]; 1058 -> 415[label="",style="solid", color="burlywood", weight=3]; 360[label="primEqFloat yu30 yu4000",fontsize=16,color="burlywood",shape="box"];1059[label="yu30/Float yu300 yu301",fontsize=10,color="white",style="solid",shape="box"];360 -> 1059[label="",style="solid", color="burlywood", weight=9]; 1059 -> 416[label="",style="solid", color="burlywood", weight=3]; 361[label="yu300 :% yu301 == yu4000",fontsize=16,color="burlywood",shape="box"];1060[label="yu4000/yu40000 :% yu40001",fontsize=10,color="white",style="solid",shape="box"];361 -> 1060[label="",style="solid", color="burlywood", weight=9]; 1060 -> 417[label="",style="solid", color="burlywood", weight=3]; 362[label="(yu300,yu301,yu302) == yu4000",fontsize=16,color="burlywood",shape="box"];1061[label="yu4000/(yu40000,yu40001,yu40002)",fontsize=10,color="white",style="solid",shape="box"];362 -> 1061[label="",style="solid", color="burlywood", weight=9]; 1061 -> 418[label="",style="solid", color="burlywood", weight=3]; 363[label="Integer yu300 == yu4000",fontsize=16,color="burlywood",shape="box"];1062[label="yu4000/Integer yu40000",fontsize=10,color="white",style="solid",shape="box"];363 -> 1062[label="",style="solid", color="burlywood", weight=9]; 1062 -> 419[label="",style="solid", color="burlywood", weight=3]; 364[label="Left yu300 == yu4000",fontsize=16,color="burlywood",shape="box"];1063[label="yu4000/Left yu40000",fontsize=10,color="white",style="solid",shape="box"];364 -> 1063[label="",style="solid", color="burlywood", weight=9]; 1063 -> 420[label="",style="solid", color="burlywood", weight=3]; 1064[label="yu4000/Right yu40000",fontsize=10,color="white",style="solid",shape="box"];364 -> 1064[label="",style="solid", color="burlywood", weight=9]; 1064 -> 421[label="",style="solid", color="burlywood", weight=3]; 365[label="Right yu300 == yu4000",fontsize=16,color="burlywood",shape="box"];1065[label="yu4000/Left yu40000",fontsize=10,color="white",style="solid",shape="box"];365 -> 1065[label="",style="solid", color="burlywood", weight=9]; 1065 -> 422[label="",style="solid", color="burlywood", weight=3]; 1066[label="yu4000/Right yu40000",fontsize=10,color="white",style="solid",shape="box"];365 -> 1066[label="",style="solid", color="burlywood", weight=9]; 1066 -> 423[label="",style="solid", color="burlywood", weight=3]; 366[label="primEqDouble yu30 yu4000",fontsize=16,color="burlywood",shape="box"];1067[label="yu30/Double yu300 yu301",fontsize=10,color="white",style="solid",shape="box"];366 -> 1067[label="",style="solid", color="burlywood", weight=9]; 1067 -> 424[label="",style="solid", color="burlywood", weight=3]; 367[label="() == yu4000",fontsize=16,color="burlywood",shape="box"];1068[label="yu4000/()",fontsize=10,color="white",style="solid",shape="box"];367 -> 1068[label="",style="solid", color="burlywood", weight=9]; 1068 -> 425[label="",style="solid", color="burlywood", weight=3]; 368[label="False == yu4000",fontsize=16,color="burlywood",shape="box"];1069[label="yu4000/False",fontsize=10,color="white",style="solid",shape="box"];368 -> 1069[label="",style="solid", color="burlywood", weight=9]; 1069 -> 426[label="",style="solid", color="burlywood", weight=3]; 1070[label="yu4000/True",fontsize=10,color="white",style="solid",shape="box"];368 -> 1070[label="",style="solid", color="burlywood", weight=9]; 1070 -> 427[label="",style="solid", color="burlywood", weight=3]; 369[label="True == yu4000",fontsize=16,color="burlywood",shape="box"];1071[label="yu4000/False",fontsize=10,color="white",style="solid",shape="box"];369 -> 1071[label="",style="solid", color="burlywood", weight=9]; 1071 -> 428[label="",style="solid", color="burlywood", weight=3]; 1072[label="yu4000/True",fontsize=10,color="white",style="solid",shape="box"];369 -> 1072[label="",style="solid", color="burlywood", weight=9]; 1072 -> 429[label="",style="solid", color="burlywood", weight=3]; 370[label="yu300 : yu301 == yu4000",fontsize=16,color="burlywood",shape="box"];1073[label="yu4000/yu40000 : yu40001",fontsize=10,color="white",style="solid",shape="box"];370 -> 1073[label="",style="solid", color="burlywood", weight=9]; 1073 -> 430[label="",style="solid", color="burlywood", weight=3]; 1074[label="yu4000/[]",fontsize=10,color="white",style="solid",shape="box"];370 -> 1074[label="",style="solid", color="burlywood", weight=9]; 1074 -> 431[label="",style="solid", color="burlywood", weight=3]; 371[label="[] == yu4000",fontsize=16,color="burlywood",shape="box"];1075[label="yu4000/yu40000 : yu40001",fontsize=10,color="white",style="solid",shape="box"];371 -> 1075[label="",style="solid", color="burlywood", weight=9]; 1075 -> 432[label="",style="solid", color="burlywood", weight=3]; 1076[label="yu4000/[]",fontsize=10,color="white",style="solid",shape="box"];371 -> 1076[label="",style="solid", color="burlywood", weight=9]; 1076 -> 433[label="",style="solid", color="burlywood", weight=3]; 372[label="Nothing == yu4000",fontsize=16,color="burlywood",shape="box"];1077[label="yu4000/Nothing",fontsize=10,color="white",style="solid",shape="box"];372 -> 1077[label="",style="solid", color="burlywood", weight=9]; 1077 -> 434[label="",style="solid", color="burlywood", weight=3]; 1078[label="yu4000/Just yu40000",fontsize=10,color="white",style="solid",shape="box"];372 -> 1078[label="",style="solid", color="burlywood", weight=9]; 1078 -> 435[label="",style="solid", color="burlywood", weight=3]; 373[label="Just yu300 == yu4000",fontsize=16,color="burlywood",shape="box"];1079[label="yu4000/Nothing",fontsize=10,color="white",style="solid",shape="box"];373 -> 1079[label="",style="solid", color="burlywood", weight=9]; 1079 -> 436[label="",style="solid", color="burlywood", weight=3]; 1080[label="yu4000/Just yu40000",fontsize=10,color="white",style="solid",shape="box"];373 -> 1080[label="",style="solid", color="burlywood", weight=9]; 1080 -> 437[label="",style="solid", color="burlywood", weight=3]; 374[label="primEqChar yu30 yu4000",fontsize=16,color="burlywood",shape="box"];1081[label="yu30/Char yu300",fontsize=10,color="white",style="solid",shape="box"];374 -> 1081[label="",style="solid", color="burlywood", weight=9]; 1081 -> 438[label="",style="solid", color="burlywood", weight=3]; 375[label="primEqInt yu30 yu4000",fontsize=16,color="burlywood",shape="triangle"];1082[label="yu30/Pos yu300",fontsize=10,color="white",style="solid",shape="box"];375 -> 1082[label="",style="solid", color="burlywood", weight=9]; 1082 -> 439[label="",style="solid", color="burlywood", weight=3]; 1083[label="yu30/Neg yu300",fontsize=10,color="white",style="solid",shape="box"];375 -> 1083[label="",style="solid", color="burlywood", weight=9]; 1083 -> 440[label="",style="solid", color="burlywood", weight=3]; 376[label="(yu300,yu301) == yu4000",fontsize=16,color="burlywood",shape="box"];1084[label="yu4000/(yu40000,yu40001)",fontsize=10,color="white",style="solid",shape="box"];376 -> 1084[label="",style="solid", color="burlywood", weight=9]; 1084 -> 441[label="",style="solid", color="burlywood", weight=3]; 377[label="yu31",fontsize=16,color="green",shape="box"];378[label="yu4001",fontsize=16,color="green",shape="box"];379[label="yu31",fontsize=16,color="green",shape="box"];380[label="yu4001",fontsize=16,color="green",shape="box"];381[label="yu31",fontsize=16,color="green",shape="box"];382[label="yu4001",fontsize=16,color="green",shape="box"];383[label="yu31",fontsize=16,color="green",shape="box"];384[label="yu4001",fontsize=16,color="green",shape="box"];385[label="yu31",fontsize=16,color="green",shape="box"];386[label="yu4001",fontsize=16,color="green",shape="box"];387[label="yu31",fontsize=16,color="green",shape="box"];388[label="yu4001",fontsize=16,color="green",shape="box"];389[label="yu31",fontsize=16,color="green",shape="box"];390[label="yu4001",fontsize=16,color="green",shape="box"];391[label="yu31",fontsize=16,color="green",shape="box"];392[label="yu4001",fontsize=16,color="green",shape="box"];393[label="yu31",fontsize=16,color="green",shape="box"];394[label="yu4001",fontsize=16,color="green",shape="box"];395[label="yu31",fontsize=16,color="green",shape="box"];396[label="yu4001",fontsize=16,color="green",shape="box"];397[label="yu31",fontsize=16,color="green",shape="box"];398[label="yu4001",fontsize=16,color="green",shape="box"];399[label="yu31",fontsize=16,color="green",shape="box"];400[label="yu4001",fontsize=16,color="green",shape="box"];401[label="yu31",fontsize=16,color="green",shape="box"];402[label="yu4001",fontsize=16,color="green",shape="box"];403[label="yu31",fontsize=16,color="green",shape="box"];404[label="yu4001",fontsize=16,color="green",shape="box"];405[label="False",fontsize=16,color="green",shape="box"];406[label="yu47",fontsize=16,color="green",shape="box"];172[label="lookup0 (yu28,yu29) (yu30,yu31) yu32 yu33 True",fontsize=16,color="black",shape="box"];172 -> 222[label="",style="solid", color="black", weight=3]; 407[label="LT == LT",fontsize=16,color="black",shape="box"];407 -> 442[label="",style="solid", color="black", weight=3]; 408[label="LT == EQ",fontsize=16,color="black",shape="box"];408 -> 443[label="",style="solid", color="black", weight=3]; 409[label="LT == GT",fontsize=16,color="black",shape="box"];409 -> 444[label="",style="solid", color="black", weight=3]; 410[label="EQ == LT",fontsize=16,color="black",shape="box"];410 -> 445[label="",style="solid", color="black", weight=3]; 411[label="EQ == EQ",fontsize=16,color="black",shape="box"];411 -> 446[label="",style="solid", color="black", weight=3]; 412[label="EQ == GT",fontsize=16,color="black",shape="box"];412 -> 447[label="",style="solid", color="black", weight=3]; 413[label="GT == LT",fontsize=16,color="black",shape="box"];413 -> 448[label="",style="solid", color="black", weight=3]; 414[label="GT == EQ",fontsize=16,color="black",shape="box"];414 -> 449[label="",style="solid", color="black", weight=3]; 415[label="GT == GT",fontsize=16,color="black",shape="box"];415 -> 450[label="",style="solid", color="black", weight=3]; 416[label="primEqFloat (Float yu300 yu301) yu4000",fontsize=16,color="burlywood",shape="box"];1085[label="yu4000/Float yu40000 yu40001",fontsize=10,color="white",style="solid",shape="box"];416 -> 1085[label="",style="solid", color="burlywood", weight=9]; 1085 -> 451[label="",style="solid", color="burlywood", weight=3]; 417[label="yu300 :% yu301 == yu40000 :% yu40001",fontsize=16,color="black",shape="box"];417 -> 452[label="",style="solid", color="black", weight=3]; 418[label="(yu300,yu301,yu302) == (yu40000,yu40001,yu40002)",fontsize=16,color="black",shape="box"];418 -> 453[label="",style="solid", color="black", weight=3]; 419[label="Integer yu300 == Integer yu40000",fontsize=16,color="black",shape="box"];419 -> 454[label="",style="solid", color="black", weight=3]; 420[label="Left yu300 == Left yu40000",fontsize=16,color="black",shape="box"];420 -> 455[label="",style="solid", color="black", weight=3]; 421[label="Left yu300 == Right yu40000",fontsize=16,color="black",shape="box"];421 -> 456[label="",style="solid", color="black", weight=3]; 422[label="Right yu300 == Left yu40000",fontsize=16,color="black",shape="box"];422 -> 457[label="",style="solid", color="black", weight=3]; 423[label="Right yu300 == Right yu40000",fontsize=16,color="black",shape="box"];423 -> 458[label="",style="solid", color="black", weight=3]; 424[label="primEqDouble (Double yu300 yu301) yu4000",fontsize=16,color="burlywood",shape="box"];1086[label="yu4000/Double yu40000 yu40001",fontsize=10,color="white",style="solid",shape="box"];424 -> 1086[label="",style="solid", color="burlywood", weight=9]; 1086 -> 459[label="",style="solid", color="burlywood", weight=3]; 425[label="() == ()",fontsize=16,color="black",shape="box"];425 -> 460[label="",style="solid", color="black", weight=3]; 426[label="False == False",fontsize=16,color="black",shape="box"];426 -> 461[label="",style="solid", color="black", weight=3]; 427[label="False == True",fontsize=16,color="black",shape="box"];427 -> 462[label="",style="solid", color="black", weight=3]; 428[label="True == False",fontsize=16,color="black",shape="box"];428 -> 463[label="",style="solid", color="black", weight=3]; 429[label="True == True",fontsize=16,color="black",shape="box"];429 -> 464[label="",style="solid", color="black", weight=3]; 430[label="yu300 : yu301 == yu40000 : yu40001",fontsize=16,color="black",shape="box"];430 -> 465[label="",style="solid", color="black", weight=3]; 431[label="yu300 : yu301 == []",fontsize=16,color="black",shape="box"];431 -> 466[label="",style="solid", color="black", weight=3]; 432[label="[] == yu40000 : yu40001",fontsize=16,color="black",shape="box"];432 -> 467[label="",style="solid", color="black", weight=3]; 433[label="[] == []",fontsize=16,color="black",shape="box"];433 -> 468[label="",style="solid", color="black", weight=3]; 434[label="Nothing == Nothing",fontsize=16,color="black",shape="box"];434 -> 469[label="",style="solid", color="black", weight=3]; 435[label="Nothing == Just yu40000",fontsize=16,color="black",shape="box"];435 -> 470[label="",style="solid", color="black", weight=3]; 436[label="Just yu300 == Nothing",fontsize=16,color="black",shape="box"];436 -> 471[label="",style="solid", color="black", weight=3]; 437[label="Just yu300 == Just yu40000",fontsize=16,color="black",shape="box"];437 -> 472[label="",style="solid", color="black", weight=3]; 438[label="primEqChar (Char yu300) yu4000",fontsize=16,color="burlywood",shape="box"];1087[label="yu4000/Char yu40000",fontsize=10,color="white",style="solid",shape="box"];438 -> 1087[label="",style="solid", color="burlywood", weight=9]; 1087 -> 473[label="",style="solid", color="burlywood", weight=3]; 439[label="primEqInt (Pos yu300) yu4000",fontsize=16,color="burlywood",shape="box"];1088[label="yu300/Succ yu3000",fontsize=10,color="white",style="solid",shape="box"];439 -> 1088[label="",style="solid", color="burlywood", weight=9]; 1088 -> 474[label="",style="solid", color="burlywood", weight=3]; 1089[label="yu300/Zero",fontsize=10,color="white",style="solid",shape="box"];439 -> 1089[label="",style="solid", color="burlywood", weight=9]; 1089 -> 475[label="",style="solid", color="burlywood", weight=3]; 440[label="primEqInt (Neg yu300) yu4000",fontsize=16,color="burlywood",shape="box"];1090[label="yu300/Succ yu3000",fontsize=10,color="white",style="solid",shape="box"];440 -> 1090[label="",style="solid", color="burlywood", weight=9]; 1090 -> 476[label="",style="solid", color="burlywood", weight=3]; 1091[label="yu300/Zero",fontsize=10,color="white",style="solid",shape="box"];440 -> 1091[label="",style="solid", color="burlywood", weight=9]; 1091 -> 477[label="",style="solid", color="burlywood", weight=3]; 441[label="(yu300,yu301) == (yu40000,yu40001)",fontsize=16,color="black",shape="box"];441 -> 478[label="",style="solid", color="black", weight=3]; 222 -> 4[label="",style="dashed", color="red", weight=0]; 222[label="lookup (yu28,yu29) yu33",fontsize=16,color="magenta"];222 -> 288[label="",style="dashed", color="magenta", weight=3]; 222 -> 289[label="",style="dashed", color="magenta", weight=3]; 442[label="True",fontsize=16,color="green",shape="box"];443[label="False",fontsize=16,color="green",shape="box"];444[label="False",fontsize=16,color="green",shape="box"];445[label="False",fontsize=16,color="green",shape="box"];446[label="True",fontsize=16,color="green",shape="box"];447[label="False",fontsize=16,color="green",shape="box"];448[label="False",fontsize=16,color="green",shape="box"];449[label="False",fontsize=16,color="green",shape="box"];450[label="True",fontsize=16,color="green",shape="box"];451[label="primEqFloat (Float yu300 yu301) (Float yu40000 yu40001)",fontsize=16,color="black",shape="box"];451 -> 479[label="",style="solid", color="black", weight=3]; 452 -> 322[label="",style="dashed", color="red", weight=0]; 452[label="yu300 == yu40000 && yu301 == yu40001",fontsize=16,color="magenta"];452 -> 480[label="",style="dashed", color="magenta", weight=3]; 452 -> 481[label="",style="dashed", color="magenta", weight=3]; 453 -> 322[label="",style="dashed", color="red", weight=0]; 453[label="yu300 == yu40000 && yu301 == yu40001 && yu302 == yu40002",fontsize=16,color="magenta"];453 -> 482[label="",style="dashed", color="magenta", weight=3]; 453 -> 483[label="",style="dashed", color="magenta", weight=3]; 454 -> 375[label="",style="dashed", color="red", weight=0]; 454[label="primEqInt yu300 yu40000",fontsize=16,color="magenta"];454 -> 484[label="",style="dashed", color="magenta", weight=3]; 454 -> 485[label="",style="dashed", color="magenta", weight=3]; 455[label="yu300 == yu40000",fontsize=16,color="blue",shape="box"];1092[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];455 -> 1092[label="",style="solid", color="blue", weight=9]; 1092 -> 486[label="",style="solid", color="blue", weight=3]; 1093[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];455 -> 1093[label="",style="solid", color="blue", weight=9]; 1093 -> 487[label="",style="solid", color="blue", weight=3]; 1094[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];455 -> 1094[label="",style="solid", color="blue", weight=9]; 1094 -> 488[label="",style="solid", color="blue", weight=3]; 1095[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];455 -> 1095[label="",style="solid", color="blue", weight=9]; 1095 -> 489[label="",style="solid", color="blue", weight=3]; 1096[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];455 -> 1096[label="",style="solid", color="blue", weight=9]; 1096 -> 490[label="",style="solid", color="blue", weight=3]; 1097[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];455 -> 1097[label="",style="solid", color="blue", weight=9]; 1097 -> 491[label="",style="solid", color="blue", weight=3]; 1098[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];455 -> 1098[label="",style="solid", color="blue", weight=9]; 1098 -> 492[label="",style="solid", color="blue", weight=3]; 1099[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];455 -> 1099[label="",style="solid", color="blue", weight=9]; 1099 -> 493[label="",style="solid", color="blue", weight=3]; 1100[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];455 -> 1100[label="",style="solid", color="blue", weight=9]; 1100 -> 494[label="",style="solid", color="blue", weight=3]; 1101[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];455 -> 1101[label="",style="solid", color="blue", weight=9]; 1101 -> 495[label="",style="solid", color="blue", weight=3]; 1102[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];455 -> 1102[label="",style="solid", color="blue", weight=9]; 1102 -> 496[label="",style="solid", color="blue", weight=3]; 1103[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];455 -> 1103[label="",style="solid", color="blue", weight=9]; 1103 -> 497[label="",style="solid", color="blue", weight=3]; 1104[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];455 -> 1104[label="",style="solid", color="blue", weight=9]; 1104 -> 498[label="",style="solid", color="blue", weight=3]; 1105[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];455 -> 1105[label="",style="solid", color="blue", weight=9]; 1105 -> 499[label="",style="solid", color="blue", weight=3]; 456[label="False",fontsize=16,color="green",shape="box"];457[label="False",fontsize=16,color="green",shape="box"];458[label="yu300 == yu40000",fontsize=16,color="blue",shape="box"];1106[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];458 -> 1106[label="",style="solid", color="blue", weight=9]; 1106 -> 500[label="",style="solid", color="blue", weight=3]; 1107[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];458 -> 1107[label="",style="solid", color="blue", weight=9]; 1107 -> 501[label="",style="solid", color="blue", weight=3]; 1108[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];458 -> 1108[label="",style="solid", color="blue", weight=9]; 1108 -> 502[label="",style="solid", color="blue", weight=3]; 1109[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];458 -> 1109[label="",style="solid", color="blue", weight=9]; 1109 -> 503[label="",style="solid", color="blue", weight=3]; 1110[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];458 -> 1110[label="",style="solid", color="blue", weight=9]; 1110 -> 504[label="",style="solid", color="blue", weight=3]; 1111[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];458 -> 1111[label="",style="solid", color="blue", weight=9]; 1111 -> 505[label="",style="solid", color="blue", weight=3]; 1112[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];458 -> 1112[label="",style="solid", color="blue", weight=9]; 1112 -> 506[label="",style="solid", color="blue", weight=3]; 1113[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];458 -> 1113[label="",style="solid", color="blue", weight=9]; 1113 -> 507[label="",style="solid", color="blue", weight=3]; 1114[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];458 -> 1114[label="",style="solid", color="blue", weight=9]; 1114 -> 508[label="",style="solid", color="blue", weight=3]; 1115[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];458 -> 1115[label="",style="solid", color="blue", weight=9]; 1115 -> 509[label="",style="solid", color="blue", weight=3]; 1116[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];458 -> 1116[label="",style="solid", color="blue", weight=9]; 1116 -> 510[label="",style="solid", color="blue", weight=3]; 1117[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];458 -> 1117[label="",style="solid", color="blue", weight=9]; 1117 -> 511[label="",style="solid", color="blue", weight=3]; 1118[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];458 -> 1118[label="",style="solid", color="blue", weight=9]; 1118 -> 512[label="",style="solid", color="blue", weight=3]; 1119[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];458 -> 1119[label="",style="solid", color="blue", weight=9]; 1119 -> 513[label="",style="solid", color="blue", weight=3]; 459[label="primEqDouble (Double yu300 yu301) (Double yu40000 yu40001)",fontsize=16,color="black",shape="box"];459 -> 514[label="",style="solid", color="black", weight=3]; 460[label="True",fontsize=16,color="green",shape="box"];461[label="True",fontsize=16,color="green",shape="box"];462[label="False",fontsize=16,color="green",shape="box"];463[label="False",fontsize=16,color="green",shape="box"];464[label="True",fontsize=16,color="green",shape="box"];465 -> 322[label="",style="dashed", color="red", weight=0]; 465[label="yu300 == yu40000 && yu301 == yu40001",fontsize=16,color="magenta"];465 -> 515[label="",style="dashed", color="magenta", weight=3]; 465 -> 516[label="",style="dashed", color="magenta", weight=3]; 466[label="False",fontsize=16,color="green",shape="box"];467[label="False",fontsize=16,color="green",shape="box"];468[label="True",fontsize=16,color="green",shape="box"];469[label="True",fontsize=16,color="green",shape="box"];470[label="False",fontsize=16,color="green",shape="box"];471[label="False",fontsize=16,color="green",shape="box"];472[label="yu300 == yu40000",fontsize=16,color="blue",shape="box"];1120[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];472 -> 1120[label="",style="solid", color="blue", weight=9]; 1120 -> 517[label="",style="solid", color="blue", weight=3]; 1121[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];472 -> 1121[label="",style="solid", color="blue", weight=9]; 1121 -> 518[label="",style="solid", color="blue", weight=3]; 1122[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];472 -> 1122[label="",style="solid", color="blue", weight=9]; 1122 -> 519[label="",style="solid", color="blue", weight=3]; 1123[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];472 -> 1123[label="",style="solid", color="blue", weight=9]; 1123 -> 520[label="",style="solid", color="blue", weight=3]; 1124[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];472 -> 1124[label="",style="solid", color="blue", weight=9]; 1124 -> 521[label="",style="solid", color="blue", weight=3]; 1125[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];472 -> 1125[label="",style="solid", color="blue", weight=9]; 1125 -> 522[label="",style="solid", color="blue", weight=3]; 1126[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];472 -> 1126[label="",style="solid", color="blue", weight=9]; 1126 -> 523[label="",style="solid", color="blue", weight=3]; 1127[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];472 -> 1127[label="",style="solid", color="blue", weight=9]; 1127 -> 524[label="",style="solid", color="blue", weight=3]; 1128[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];472 -> 1128[label="",style="solid", color="blue", weight=9]; 1128 -> 525[label="",style="solid", color="blue", weight=3]; 1129[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];472 -> 1129[label="",style="solid", color="blue", weight=9]; 1129 -> 526[label="",style="solid", color="blue", weight=3]; 1130[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];472 -> 1130[label="",style="solid", color="blue", weight=9]; 1130 -> 527[label="",style="solid", color="blue", weight=3]; 1131[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];472 -> 1131[label="",style="solid", color="blue", weight=9]; 1131 -> 528[label="",style="solid", color="blue", weight=3]; 1132[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];472 -> 1132[label="",style="solid", color="blue", weight=9]; 1132 -> 529[label="",style="solid", color="blue", weight=3]; 1133[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];472 -> 1133[label="",style="solid", color="blue", weight=9]; 1133 -> 530[label="",style="solid", color="blue", weight=3]; 473[label="primEqChar (Char yu300) (Char yu40000)",fontsize=16,color="black",shape="box"];473 -> 531[label="",style="solid", color="black", weight=3]; 474[label="primEqInt (Pos (Succ yu3000)) yu4000",fontsize=16,color="burlywood",shape="box"];1134[label="yu4000/Pos yu40000",fontsize=10,color="white",style="solid",shape="box"];474 -> 1134[label="",style="solid", color="burlywood", weight=9]; 1134 -> 532[label="",style="solid", color="burlywood", weight=3]; 1135[label="yu4000/Neg yu40000",fontsize=10,color="white",style="solid",shape="box"];474 -> 1135[label="",style="solid", color="burlywood", weight=9]; 1135 -> 533[label="",style="solid", color="burlywood", weight=3]; 475[label="primEqInt (Pos Zero) yu4000",fontsize=16,color="burlywood",shape="box"];1136[label="yu4000/Pos yu40000",fontsize=10,color="white",style="solid",shape="box"];475 -> 1136[label="",style="solid", color="burlywood", weight=9]; 1136 -> 534[label="",style="solid", color="burlywood", weight=3]; 1137[label="yu4000/Neg yu40000",fontsize=10,color="white",style="solid",shape="box"];475 -> 1137[label="",style="solid", color="burlywood", weight=9]; 1137 -> 535[label="",style="solid", color="burlywood", weight=3]; 476[label="primEqInt (Neg (Succ yu3000)) yu4000",fontsize=16,color="burlywood",shape="box"];1138[label="yu4000/Pos yu40000",fontsize=10,color="white",style="solid",shape="box"];476 -> 1138[label="",style="solid", color="burlywood", weight=9]; 1138 -> 536[label="",style="solid", color="burlywood", weight=3]; 1139[label="yu4000/Neg yu40000",fontsize=10,color="white",style="solid",shape="box"];476 -> 1139[label="",style="solid", color="burlywood", weight=9]; 1139 -> 537[label="",style="solid", color="burlywood", weight=3]; 477[label="primEqInt (Neg Zero) yu4000",fontsize=16,color="burlywood",shape="box"];1140[label="yu4000/Pos yu40000",fontsize=10,color="white",style="solid",shape="box"];477 -> 1140[label="",style="solid", color="burlywood", weight=9]; 1140 -> 538[label="",style="solid", color="burlywood", weight=3]; 1141[label="yu4000/Neg yu40000",fontsize=10,color="white",style="solid",shape="box"];477 -> 1141[label="",style="solid", color="burlywood", weight=9]; 1141 -> 539[label="",style="solid", color="burlywood", weight=3]; 478 -> 322[label="",style="dashed", color="red", weight=0]; 478[label="yu300 == yu40000 && yu301 == yu40001",fontsize=16,color="magenta"];478 -> 540[label="",style="dashed", color="magenta", weight=3]; 478 -> 541[label="",style="dashed", color="magenta", weight=3]; 288[label="yu33",fontsize=16,color="green",shape="box"];289[label="(yu28,yu29)",fontsize=16,color="green",shape="box"];479 -> 339[label="",style="dashed", color="red", weight=0]; 479[label="yu300 * yu40001 == yu301 * yu40000",fontsize=16,color="magenta"];479 -> 542[label="",style="dashed", color="magenta", weight=3]; 479 -> 543[label="",style="dashed", color="magenta", weight=3]; 480[label="yu300 == yu40000",fontsize=16,color="blue",shape="box"];1142[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];480 -> 1142[label="",style="solid", color="blue", weight=9]; 1142 -> 544[label="",style="solid", color="blue", weight=3]; 1143[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];480 -> 1143[label="",style="solid", color="blue", weight=9]; 1143 -> 545[label="",style="solid", color="blue", weight=3]; 481[label="yu301 == yu40001",fontsize=16,color="blue",shape="box"];1144[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];481 -> 1144[label="",style="solid", color="blue", weight=9]; 1144 -> 546[label="",style="solid", color="blue", weight=3]; 1145[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];481 -> 1145[label="",style="solid", color="blue", weight=9]; 1145 -> 547[label="",style="solid", color="blue", weight=3]; 482[label="yu300 == yu40000",fontsize=16,color="blue",shape="box"];1146[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];482 -> 1146[label="",style="solid", color="blue", weight=9]; 1146 -> 548[label="",style="solid", color="blue", weight=3]; 1147[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];482 -> 1147[label="",style="solid", color="blue", weight=9]; 1147 -> 549[label="",style="solid", color="blue", weight=3]; 1148[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];482 -> 1148[label="",style="solid", color="blue", weight=9]; 1148 -> 550[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"];482 -> 1149[label="",style="solid", color="blue", weight=9]; 1149 -> 551[label="",style="solid", color="blue", weight=3]; 1150[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];482 -> 1150[label="",style="solid", color="blue", weight=9]; 1150 -> 552[label="",style="solid", color="blue", weight=3]; 1151[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];482 -> 1151[label="",style="solid", color="blue", weight=9]; 1151 -> 553[label="",style="solid", color="blue", weight=3]; 1152[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];482 -> 1152[label="",style="solid", color="blue", weight=9]; 1152 -> 554[label="",style="solid", color="blue", weight=3]; 1153[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];482 -> 1153[label="",style="solid", color="blue", weight=9]; 1153 -> 555[label="",style="solid", color="blue", weight=3]; 1154[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];482 -> 1154[label="",style="solid", color="blue", weight=9]; 1154 -> 556[label="",style="solid", color="blue", weight=3]; 1155[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];482 -> 1155[label="",style="solid", color="blue", weight=9]; 1155 -> 557[label="",style="solid", color="blue", weight=3]; 1156[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];482 -> 1156[label="",style="solid", color="blue", weight=9]; 1156 -> 558[label="",style="solid", color="blue", weight=3]; 1157[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];482 -> 1157[label="",style="solid", color="blue", weight=9]; 1157 -> 559[label="",style="solid", color="blue", weight=3]; 1158[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];482 -> 1158[label="",style="solid", color="blue", weight=9]; 1158 -> 560[label="",style="solid", color="blue", weight=3]; 1159[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];482 -> 1159[label="",style="solid", color="blue", weight=9]; 1159 -> 561[label="",style="solid", color="blue", weight=3]; 483 -> 322[label="",style="dashed", color="red", weight=0]; 483[label="yu301 == yu40001 && yu302 == yu40002",fontsize=16,color="magenta"];483 -> 562[label="",style="dashed", color="magenta", weight=3]; 483 -> 563[label="",style="dashed", color="magenta", weight=3]; 484[label="yu300",fontsize=16,color="green",shape="box"];485[label="yu40000",fontsize=16,color="green",shape="box"];486 -> 327[label="",style="dashed", color="red", weight=0]; 486[label="yu300 == yu40000",fontsize=16,color="magenta"];486 -> 564[label="",style="dashed", color="magenta", weight=3]; 486 -> 565[label="",style="dashed", color="magenta", weight=3]; 487 -> 328[label="",style="dashed", color="red", weight=0]; 487[label="yu300 == yu40000",fontsize=16,color="magenta"];487 -> 566[label="",style="dashed", color="magenta", weight=3]; 487 -> 567[label="",style="dashed", color="magenta", weight=3]; 488 -> 329[label="",style="dashed", color="red", weight=0]; 488[label="yu300 == yu40000",fontsize=16,color="magenta"];488 -> 568[label="",style="dashed", color="magenta", weight=3]; 488 -> 569[label="",style="dashed", color="magenta", weight=3]; 489 -> 330[label="",style="dashed", color="red", weight=0]; 489[label="yu300 == yu40000",fontsize=16,color="magenta"];489 -> 570[label="",style="dashed", color="magenta", weight=3]; 489 -> 571[label="",style="dashed", color="magenta", weight=3]; 490 -> 331[label="",style="dashed", color="red", weight=0]; 490[label="yu300 == yu40000",fontsize=16,color="magenta"];490 -> 572[label="",style="dashed", color="magenta", weight=3]; 490 -> 573[label="",style="dashed", color="magenta", weight=3]; 491 -> 332[label="",style="dashed", color="red", weight=0]; 491[label="yu300 == yu40000",fontsize=16,color="magenta"];491 -> 574[label="",style="dashed", color="magenta", weight=3]; 491 -> 575[label="",style="dashed", color="magenta", weight=3]; 492 -> 333[label="",style="dashed", color="red", weight=0]; 492[label="yu300 == yu40000",fontsize=16,color="magenta"];492 -> 576[label="",style="dashed", color="magenta", weight=3]; 492 -> 577[label="",style="dashed", color="magenta", weight=3]; 493 -> 334[label="",style="dashed", color="red", weight=0]; 493[label="yu300 == yu40000",fontsize=16,color="magenta"];493 -> 578[label="",style="dashed", color="magenta", weight=3]; 493 -> 579[label="",style="dashed", color="magenta", weight=3]; 494 -> 335[label="",style="dashed", color="red", weight=0]; 494[label="yu300 == yu40000",fontsize=16,color="magenta"];494 -> 580[label="",style="dashed", color="magenta", weight=3]; 494 -> 581[label="",style="dashed", color="magenta", weight=3]; 495 -> 336[label="",style="dashed", color="red", weight=0]; 495[label="yu300 == yu40000",fontsize=16,color="magenta"];495 -> 582[label="",style="dashed", color="magenta", weight=3]; 495 -> 583[label="",style="dashed", color="magenta", weight=3]; 496 -> 337[label="",style="dashed", color="red", weight=0]; 496[label="yu300 == yu40000",fontsize=16,color="magenta"];496 -> 584[label="",style="dashed", color="magenta", weight=3]; 496 -> 585[label="",style="dashed", color="magenta", weight=3]; 497 -> 338[label="",style="dashed", color="red", weight=0]; 497[label="yu300 == yu40000",fontsize=16,color="magenta"];497 -> 586[label="",style="dashed", color="magenta", weight=3]; 497 -> 587[label="",style="dashed", color="magenta", weight=3]; 498 -> 339[label="",style="dashed", color="red", weight=0]; 498[label="yu300 == yu40000",fontsize=16,color="magenta"];498 -> 588[label="",style="dashed", color="magenta", weight=3]; 498 -> 589[label="",style="dashed", color="magenta", weight=3]; 499 -> 340[label="",style="dashed", color="red", weight=0]; 499[label="yu300 == yu40000",fontsize=16,color="magenta"];499 -> 590[label="",style="dashed", color="magenta", weight=3]; 499 -> 591[label="",style="dashed", color="magenta", weight=3]; 500 -> 327[label="",style="dashed", color="red", weight=0]; 500[label="yu300 == yu40000",fontsize=16,color="magenta"];500 -> 592[label="",style="dashed", color="magenta", weight=3]; 500 -> 593[label="",style="dashed", color="magenta", weight=3]; 501 -> 328[label="",style="dashed", color="red", weight=0]; 501[label="yu300 == yu40000",fontsize=16,color="magenta"];501 -> 594[label="",style="dashed", color="magenta", weight=3]; 501 -> 595[label="",style="dashed", color="magenta", weight=3]; 502 -> 329[label="",style="dashed", color="red", weight=0]; 502[label="yu300 == yu40000",fontsize=16,color="magenta"];502 -> 596[label="",style="dashed", color="magenta", weight=3]; 502 -> 597[label="",style="dashed", color="magenta", weight=3]; 503 -> 330[label="",style="dashed", color="red", weight=0]; 503[label="yu300 == yu40000",fontsize=16,color="magenta"];503 -> 598[label="",style="dashed", color="magenta", weight=3]; 503 -> 599[label="",style="dashed", color="magenta", weight=3]; 504 -> 331[label="",style="dashed", color="red", weight=0]; 504[label="yu300 == yu40000",fontsize=16,color="magenta"];504 -> 600[label="",style="dashed", color="magenta", weight=3]; 504 -> 601[label="",style="dashed", color="magenta", weight=3]; 505 -> 332[label="",style="dashed", color="red", weight=0]; 505[label="yu300 == yu40000",fontsize=16,color="magenta"];505 -> 602[label="",style="dashed", color="magenta", weight=3]; 505 -> 603[label="",style="dashed", color="magenta", weight=3]; 506 -> 333[label="",style="dashed", color="red", weight=0]; 506[label="yu300 == yu40000",fontsize=16,color="magenta"];506 -> 604[label="",style="dashed", color="magenta", weight=3]; 506 -> 605[label="",style="dashed", color="magenta", weight=3]; 507 -> 334[label="",style="dashed", color="red", weight=0]; 507[label="yu300 == yu40000",fontsize=16,color="magenta"];507 -> 606[label="",style="dashed", color="magenta", weight=3]; 507 -> 607[label="",style="dashed", color="magenta", weight=3]; 508 -> 335[label="",style="dashed", color="red", weight=0]; 508[label="yu300 == yu40000",fontsize=16,color="magenta"];508 -> 608[label="",style="dashed", color="magenta", weight=3]; 508 -> 609[label="",style="dashed", color="magenta", weight=3]; 509 -> 336[label="",style="dashed", color="red", weight=0]; 509[label="yu300 == yu40000",fontsize=16,color="magenta"];509 -> 610[label="",style="dashed", color="magenta", weight=3]; 509 -> 611[label="",style="dashed", color="magenta", weight=3]; 510 -> 337[label="",style="dashed", color="red", weight=0]; 510[label="yu300 == yu40000",fontsize=16,color="magenta"];510 -> 612[label="",style="dashed", color="magenta", weight=3]; 510 -> 613[label="",style="dashed", color="magenta", weight=3]; 511 -> 338[label="",style="dashed", color="red", weight=0]; 511[label="yu300 == yu40000",fontsize=16,color="magenta"];511 -> 614[label="",style="dashed", color="magenta", weight=3]; 511 -> 615[label="",style="dashed", color="magenta", weight=3]; 512 -> 339[label="",style="dashed", color="red", weight=0]; 512[label="yu300 == yu40000",fontsize=16,color="magenta"];512 -> 616[label="",style="dashed", color="magenta", weight=3]; 512 -> 617[label="",style="dashed", color="magenta", weight=3]; 513 -> 340[label="",style="dashed", color="red", weight=0]; 513[label="yu300 == yu40000",fontsize=16,color="magenta"];513 -> 618[label="",style="dashed", color="magenta", weight=3]; 513 -> 619[label="",style="dashed", color="magenta", weight=3]; 514 -> 339[label="",style="dashed", color="red", weight=0]; 514[label="yu300 * yu40001 == yu301 * yu40000",fontsize=16,color="magenta"];514 -> 620[label="",style="dashed", color="magenta", weight=3]; 514 -> 621[label="",style="dashed", color="magenta", weight=3]; 515[label="yu300 == yu40000",fontsize=16,color="blue",shape="box"];1160[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];515 -> 1160[label="",style="solid", color="blue", weight=9]; 1160 -> 622[label="",style="solid", color="blue", weight=3]; 1161[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];515 -> 1161[label="",style="solid", color="blue", weight=9]; 1161 -> 623[label="",style="solid", color="blue", weight=3]; 1162[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];515 -> 1162[label="",style="solid", color="blue", weight=9]; 1162 -> 624[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"];515 -> 1163[label="",style="solid", color="blue", weight=9]; 1163 -> 625[label="",style="solid", color="blue", weight=3]; 1164[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];515 -> 1164[label="",style="solid", color="blue", weight=9]; 1164 -> 626[label="",style="solid", color="blue", weight=3]; 1165[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];515 -> 1165[label="",style="solid", color="blue", weight=9]; 1165 -> 627[label="",style="solid", color="blue", weight=3]; 1166[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];515 -> 1166[label="",style="solid", color="blue", weight=9]; 1166 -> 628[label="",style="solid", color="blue", weight=3]; 1167[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];515 -> 1167[label="",style="solid", color="blue", weight=9]; 1167 -> 629[label="",style="solid", color="blue", weight=3]; 1168[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];515 -> 1168[label="",style="solid", color="blue", weight=9]; 1168 -> 630[label="",style="solid", color="blue", weight=3]; 1169[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];515 -> 1169[label="",style="solid", color="blue", weight=9]; 1169 -> 631[label="",style="solid", color="blue", weight=3]; 1170[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];515 -> 1170[label="",style="solid", color="blue", weight=9]; 1170 -> 632[label="",style="solid", color="blue", weight=3]; 1171[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];515 -> 1171[label="",style="solid", color="blue", weight=9]; 1171 -> 633[label="",style="solid", color="blue", weight=3]; 1172[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];515 -> 1172[label="",style="solid", color="blue", weight=9]; 1172 -> 634[label="",style="solid", color="blue", weight=3]; 1173[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];515 -> 1173[label="",style="solid", color="blue", weight=9]; 1173 -> 635[label="",style="solid", color="blue", weight=3]; 516 -> 336[label="",style="dashed", color="red", weight=0]; 516[label="yu301 == yu40001",fontsize=16,color="magenta"];516 -> 636[label="",style="dashed", color="magenta", weight=3]; 516 -> 637[label="",style="dashed", color="magenta", weight=3]; 517 -> 327[label="",style="dashed", color="red", weight=0]; 517[label="yu300 == yu40000",fontsize=16,color="magenta"];517 -> 638[label="",style="dashed", color="magenta", weight=3]; 517 -> 639[label="",style="dashed", color="magenta", weight=3]; 518 -> 328[label="",style="dashed", color="red", weight=0]; 518[label="yu300 == yu40000",fontsize=16,color="magenta"];518 -> 640[label="",style="dashed", color="magenta", weight=3]; 518 -> 641[label="",style="dashed", color="magenta", weight=3]; 519 -> 329[label="",style="dashed", color="red", weight=0]; 519[label="yu300 == yu40000",fontsize=16,color="magenta"];519 -> 642[label="",style="dashed", color="magenta", weight=3]; 519 -> 643[label="",style="dashed", color="magenta", weight=3]; 520 -> 330[label="",style="dashed", color="red", weight=0]; 520[label="yu300 == yu40000",fontsize=16,color="magenta"];520 -> 644[label="",style="dashed", color="magenta", weight=3]; 520 -> 645[label="",style="dashed", color="magenta", weight=3]; 521 -> 331[label="",style="dashed", color="red", weight=0]; 521[label="yu300 == yu40000",fontsize=16,color="magenta"];521 -> 646[label="",style="dashed", color="magenta", weight=3]; 521 -> 647[label="",style="dashed", color="magenta", weight=3]; 522 -> 332[label="",style="dashed", color="red", weight=0]; 522[label="yu300 == yu40000",fontsize=16,color="magenta"];522 -> 648[label="",style="dashed", color="magenta", weight=3]; 522 -> 649[label="",style="dashed", color="magenta", weight=3]; 523 -> 333[label="",style="dashed", color="red", weight=0]; 523[label="yu300 == yu40000",fontsize=16,color="magenta"];523 -> 650[label="",style="dashed", color="magenta", weight=3]; 523 -> 651[label="",style="dashed", color="magenta", weight=3]; 524 -> 334[label="",style="dashed", color="red", weight=0]; 524[label="yu300 == yu40000",fontsize=16,color="magenta"];524 -> 652[label="",style="dashed", color="magenta", weight=3]; 524 -> 653[label="",style="dashed", color="magenta", weight=3]; 525 -> 335[label="",style="dashed", color="red", weight=0]; 525[label="yu300 == yu40000",fontsize=16,color="magenta"];525 -> 654[label="",style="dashed", color="magenta", weight=3]; 525 -> 655[label="",style="dashed", color="magenta", weight=3]; 526 -> 336[label="",style="dashed", color="red", weight=0]; 526[label="yu300 == yu40000",fontsize=16,color="magenta"];526 -> 656[label="",style="dashed", color="magenta", weight=3]; 526 -> 657[label="",style="dashed", color="magenta", weight=3]; 527 -> 337[label="",style="dashed", color="red", weight=0]; 527[label="yu300 == yu40000",fontsize=16,color="magenta"];527 -> 658[label="",style="dashed", color="magenta", weight=3]; 527 -> 659[label="",style="dashed", color="magenta", weight=3]; 528 -> 338[label="",style="dashed", color="red", weight=0]; 528[label="yu300 == yu40000",fontsize=16,color="magenta"];528 -> 660[label="",style="dashed", color="magenta", weight=3]; 528 -> 661[label="",style="dashed", color="magenta", weight=3]; 529 -> 339[label="",style="dashed", color="red", weight=0]; 529[label="yu300 == yu40000",fontsize=16,color="magenta"];529 -> 662[label="",style="dashed", color="magenta", weight=3]; 529 -> 663[label="",style="dashed", color="magenta", weight=3]; 530 -> 340[label="",style="dashed", color="red", weight=0]; 530[label="yu300 == yu40000",fontsize=16,color="magenta"];530 -> 664[label="",style="dashed", color="magenta", weight=3]; 530 -> 665[label="",style="dashed", color="magenta", weight=3]; 531[label="primEqNat yu300 yu40000",fontsize=16,color="burlywood",shape="triangle"];1174[label="yu300/Succ yu3000",fontsize=10,color="white",style="solid",shape="box"];531 -> 1174[label="",style="solid", color="burlywood", weight=9]; 1174 -> 666[label="",style="solid", color="burlywood", weight=3]; 1175[label="yu300/Zero",fontsize=10,color="white",style="solid",shape="box"];531 -> 1175[label="",style="solid", color="burlywood", weight=9]; 1175 -> 667[label="",style="solid", color="burlywood", weight=3]; 532[label="primEqInt (Pos (Succ yu3000)) (Pos yu40000)",fontsize=16,color="burlywood",shape="box"];1176[label="yu40000/Succ yu400000",fontsize=10,color="white",style="solid",shape="box"];532 -> 1176[label="",style="solid", color="burlywood", weight=9]; 1176 -> 668[label="",style="solid", color="burlywood", weight=3]; 1177[label="yu40000/Zero",fontsize=10,color="white",style="solid",shape="box"];532 -> 1177[label="",style="solid", color="burlywood", weight=9]; 1177 -> 669[label="",style="solid", color="burlywood", weight=3]; 533[label="primEqInt (Pos (Succ yu3000)) (Neg yu40000)",fontsize=16,color="black",shape="box"];533 -> 670[label="",style="solid", color="black", weight=3]; 534[label="primEqInt (Pos Zero) (Pos yu40000)",fontsize=16,color="burlywood",shape="box"];1178[label="yu40000/Succ yu400000",fontsize=10,color="white",style="solid",shape="box"];534 -> 1178[label="",style="solid", color="burlywood", weight=9]; 1178 -> 671[label="",style="solid", color="burlywood", weight=3]; 1179[label="yu40000/Zero",fontsize=10,color="white",style="solid",shape="box"];534 -> 1179[label="",style="solid", color="burlywood", weight=9]; 1179 -> 672[label="",style="solid", color="burlywood", weight=3]; 535[label="primEqInt (Pos Zero) (Neg yu40000)",fontsize=16,color="burlywood",shape="box"];1180[label="yu40000/Succ yu400000",fontsize=10,color="white",style="solid",shape="box"];535 -> 1180[label="",style="solid", color="burlywood", weight=9]; 1180 -> 673[label="",style="solid", color="burlywood", weight=3]; 1181[label="yu40000/Zero",fontsize=10,color="white",style="solid",shape="box"];535 -> 1181[label="",style="solid", color="burlywood", weight=9]; 1181 -> 674[label="",style="solid", color="burlywood", weight=3]; 536[label="primEqInt (Neg (Succ yu3000)) (Pos yu40000)",fontsize=16,color="black",shape="box"];536 -> 675[label="",style="solid", color="black", weight=3]; 537[label="primEqInt (Neg (Succ yu3000)) (Neg yu40000)",fontsize=16,color="burlywood",shape="box"];1182[label="yu40000/Succ yu400000",fontsize=10,color="white",style="solid",shape="box"];537 -> 1182[label="",style="solid", color="burlywood", weight=9]; 1182 -> 676[label="",style="solid", color="burlywood", weight=3]; 1183[label="yu40000/Zero",fontsize=10,color="white",style="solid",shape="box"];537 -> 1183[label="",style="solid", color="burlywood", weight=9]; 1183 -> 677[label="",style="solid", color="burlywood", weight=3]; 538[label="primEqInt (Neg Zero) (Pos yu40000)",fontsize=16,color="burlywood",shape="box"];1184[label="yu40000/Succ yu400000",fontsize=10,color="white",style="solid",shape="box"];538 -> 1184[label="",style="solid", color="burlywood", weight=9]; 1184 -> 678[label="",style="solid", color="burlywood", weight=3]; 1185[label="yu40000/Zero",fontsize=10,color="white",style="solid",shape="box"];538 -> 1185[label="",style="solid", color="burlywood", weight=9]; 1185 -> 679[label="",style="solid", color="burlywood", weight=3]; 539[label="primEqInt (Neg Zero) (Neg yu40000)",fontsize=16,color="burlywood",shape="box"];1186[label="yu40000/Succ yu400000",fontsize=10,color="white",style="solid",shape="box"];539 -> 1186[label="",style="solid", color="burlywood", weight=9]; 1186 -> 680[label="",style="solid", color="burlywood", weight=3]; 1187[label="yu40000/Zero",fontsize=10,color="white",style="solid",shape="box"];539 -> 1187[label="",style="solid", color="burlywood", weight=9]; 1187 -> 681[label="",style="solid", color="burlywood", weight=3]; 540[label="yu300 == yu40000",fontsize=16,color="blue",shape="box"];1188[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];540 -> 1188[label="",style="solid", color="blue", weight=9]; 1188 -> 682[label="",style="solid", color="blue", weight=3]; 1189[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];540 -> 1189[label="",style="solid", color="blue", weight=9]; 1189 -> 683[label="",style="solid", color="blue", weight=3]; 1190[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];540 -> 1190[label="",style="solid", color="blue", weight=9]; 1190 -> 684[label="",style="solid", color="blue", weight=3]; 1191[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];540 -> 1191[label="",style="solid", color="blue", weight=9]; 1191 -> 685[label="",style="solid", color="blue", weight=3]; 1192[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];540 -> 1192[label="",style="solid", color="blue", weight=9]; 1192 -> 686[label="",style="solid", color="blue", weight=3]; 1193[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];540 -> 1193[label="",style="solid", color="blue", weight=9]; 1193 -> 687[label="",style="solid", color="blue", weight=3]; 1194[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];540 -> 1194[label="",style="solid", color="blue", weight=9]; 1194 -> 688[label="",style="solid", color="blue", weight=3]; 1195[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];540 -> 1195[label="",style="solid", color="blue", weight=9]; 1195 -> 689[label="",style="solid", color="blue", weight=3]; 1196[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];540 -> 1196[label="",style="solid", color="blue", weight=9]; 1196 -> 690[label="",style="solid", color="blue", weight=3]; 1197[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];540 -> 1197[label="",style="solid", color="blue", weight=9]; 1197 -> 691[label="",style="solid", color="blue", weight=3]; 1198[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];540 -> 1198[label="",style="solid", color="blue", weight=9]; 1198 -> 692[label="",style="solid", color="blue", weight=3]; 1199[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];540 -> 1199[label="",style="solid", color="blue", weight=9]; 1199 -> 693[label="",style="solid", color="blue", weight=3]; 1200[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];540 -> 1200[label="",style="solid", color="blue", weight=9]; 1200 -> 694[label="",style="solid", color="blue", weight=3]; 1201[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];540 -> 1201[label="",style="solid", color="blue", weight=9]; 1201 -> 695[label="",style="solid", color="blue", weight=3]; 541[label="yu301 == yu40001",fontsize=16,color="blue",shape="box"];1202[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];541 -> 1202[label="",style="solid", color="blue", weight=9]; 1202 -> 696[label="",style="solid", color="blue", weight=3]; 1203[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];541 -> 1203[label="",style="solid", color="blue", weight=9]; 1203 -> 697[label="",style="solid", color="blue", weight=3]; 1204[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];541 -> 1204[label="",style="solid", color="blue", weight=9]; 1204 -> 698[label="",style="solid", color="blue", weight=3]; 1205[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];541 -> 1205[label="",style="solid", color="blue", weight=9]; 1205 -> 699[label="",style="solid", color="blue", weight=3]; 1206[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];541 -> 1206[label="",style="solid", color="blue", weight=9]; 1206 -> 700[label="",style="solid", color="blue", weight=3]; 1207[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];541 -> 1207[label="",style="solid", color="blue", weight=9]; 1207 -> 701[label="",style="solid", color="blue", weight=3]; 1208[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];541 -> 1208[label="",style="solid", color="blue", weight=9]; 1208 -> 702[label="",style="solid", color="blue", weight=3]; 1209[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];541 -> 1209[label="",style="solid", color="blue", weight=9]; 1209 -> 703[label="",style="solid", color="blue", weight=3]; 1210[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];541 -> 1210[label="",style="solid", color="blue", weight=9]; 1210 -> 704[label="",style="solid", color="blue", weight=3]; 1211[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];541 -> 1211[label="",style="solid", color="blue", weight=9]; 1211 -> 705[label="",style="solid", color="blue", weight=3]; 1212[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];541 -> 1212[label="",style="solid", color="blue", weight=9]; 1212 -> 706[label="",style="solid", color="blue", weight=3]; 1213[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];541 -> 1213[label="",style="solid", color="blue", weight=9]; 1213 -> 707[label="",style="solid", color="blue", weight=3]; 1214[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];541 -> 1214[label="",style="solid", color="blue", weight=9]; 1214 -> 708[label="",style="solid", color="blue", weight=3]; 1215[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];541 -> 1215[label="",style="solid", color="blue", weight=9]; 1215 -> 709[label="",style="solid", color="blue", weight=3]; 542[label="yu300 * yu40001",fontsize=16,color="black",shape="triangle"];542 -> 710[label="",style="solid", color="black", weight=3]; 543 -> 542[label="",style="dashed", color="red", weight=0]; 543[label="yu301 * yu40000",fontsize=16,color="magenta"];543 -> 711[label="",style="dashed", color="magenta", weight=3]; 543 -> 712[label="",style="dashed", color="magenta", weight=3]; 544 -> 331[label="",style="dashed", color="red", weight=0]; 544[label="yu300 == yu40000",fontsize=16,color="magenta"];544 -> 713[label="",style="dashed", color="magenta", weight=3]; 544 -> 714[label="",style="dashed", color="magenta", weight=3]; 545 -> 339[label="",style="dashed", color="red", weight=0]; 545[label="yu300 == yu40000",fontsize=16,color="magenta"];545 -> 715[label="",style="dashed", color="magenta", weight=3]; 545 -> 716[label="",style="dashed", color="magenta", weight=3]; 546 -> 331[label="",style="dashed", color="red", weight=0]; 546[label="yu301 == yu40001",fontsize=16,color="magenta"];546 -> 717[label="",style="dashed", color="magenta", weight=3]; 546 -> 718[label="",style="dashed", color="magenta", weight=3]; 547 -> 339[label="",style="dashed", color="red", weight=0]; 547[label="yu301 == yu40001",fontsize=16,color="magenta"];547 -> 719[label="",style="dashed", color="magenta", weight=3]; 547 -> 720[label="",style="dashed", color="magenta", weight=3]; 548 -> 327[label="",style="dashed", color="red", weight=0]; 548[label="yu300 == yu40000",fontsize=16,color="magenta"];548 -> 721[label="",style="dashed", color="magenta", weight=3]; 548 -> 722[label="",style="dashed", color="magenta", weight=3]; 549 -> 328[label="",style="dashed", color="red", weight=0]; 549[label="yu300 == yu40000",fontsize=16,color="magenta"];549 -> 723[label="",style="dashed", color="magenta", weight=3]; 549 -> 724[label="",style="dashed", color="magenta", weight=3]; 550 -> 329[label="",style="dashed", color="red", weight=0]; 550[label="yu300 == yu40000",fontsize=16,color="magenta"];550 -> 725[label="",style="dashed", color="magenta", weight=3]; 550 -> 726[label="",style="dashed", color="magenta", weight=3]; 551 -> 330[label="",style="dashed", color="red", weight=0]; 551[label="yu300 == yu40000",fontsize=16,color="magenta"];551 -> 727[label="",style="dashed", color="magenta", weight=3]; 551 -> 728[label="",style="dashed", color="magenta", weight=3]; 552 -> 331[label="",style="dashed", color="red", weight=0]; 552[label="yu300 == yu40000",fontsize=16,color="magenta"];552 -> 729[label="",style="dashed", color="magenta", weight=3]; 552 -> 730[label="",style="dashed", color="magenta", weight=3]; 553 -> 332[label="",style="dashed", color="red", weight=0]; 553[label="yu300 == yu40000",fontsize=16,color="magenta"];553 -> 731[label="",style="dashed", color="magenta", weight=3]; 553 -> 732[label="",style="dashed", color="magenta", weight=3]; 554 -> 333[label="",style="dashed", color="red", weight=0]; 554[label="yu300 == yu40000",fontsize=16,color="magenta"];554 -> 733[label="",style="dashed", color="magenta", weight=3]; 554 -> 734[label="",style="dashed", color="magenta", weight=3]; 555 -> 334[label="",style="dashed", color="red", weight=0]; 555[label="yu300 == yu40000",fontsize=16,color="magenta"];555 -> 735[label="",style="dashed", color="magenta", weight=3]; 555 -> 736[label="",style="dashed", color="magenta", weight=3]; 556 -> 335[label="",style="dashed", color="red", weight=0]; 556[label="yu300 == yu40000",fontsize=16,color="magenta"];556 -> 737[label="",style="dashed", color="magenta", weight=3]; 556 -> 738[label="",style="dashed", color="magenta", weight=3]; 557 -> 336[label="",style="dashed", color="red", weight=0]; 557[label="yu300 == yu40000",fontsize=16,color="magenta"];557 -> 739[label="",style="dashed", color="magenta", weight=3]; 557 -> 740[label="",style="dashed", color="magenta", weight=3]; 558 -> 337[label="",style="dashed", color="red", weight=0]; 558[label="yu300 == yu40000",fontsize=16,color="magenta"];558 -> 741[label="",style="dashed", color="magenta", weight=3]; 558 -> 742[label="",style="dashed", color="magenta", weight=3]; 559 -> 338[label="",style="dashed", color="red", weight=0]; 559[label="yu300 == yu40000",fontsize=16,color="magenta"];559 -> 743[label="",style="dashed", color="magenta", weight=3]; 559 -> 744[label="",style="dashed", color="magenta", weight=3]; 560 -> 339[label="",style="dashed", color="red", weight=0]; 560[label="yu300 == yu40000",fontsize=16,color="magenta"];560 -> 745[label="",style="dashed", color="magenta", weight=3]; 560 -> 746[label="",style="dashed", color="magenta", weight=3]; 561 -> 340[label="",style="dashed", color="red", weight=0]; 561[label="yu300 == yu40000",fontsize=16,color="magenta"];561 -> 747[label="",style="dashed", color="magenta", weight=3]; 561 -> 748[label="",style="dashed", color="magenta", weight=3]; 562[label="yu301 == yu40001",fontsize=16,color="blue",shape="box"];1216[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];562 -> 1216[label="",style="solid", color="blue", weight=9]; 1216 -> 749[label="",style="solid", color="blue", weight=3]; 1217[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];562 -> 1217[label="",style="solid", color="blue", weight=9]; 1217 -> 750[label="",style="solid", color="blue", weight=3]; 1218[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];562 -> 1218[label="",style="solid", color="blue", weight=9]; 1218 -> 751[label="",style="solid", color="blue", weight=3]; 1219[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];562 -> 1219[label="",style="solid", color="blue", weight=9]; 1219 -> 752[label="",style="solid", color="blue", weight=3]; 1220[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];562 -> 1220[label="",style="solid", color="blue", weight=9]; 1220 -> 753[label="",style="solid", color="blue", weight=3]; 1221[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];562 -> 1221[label="",style="solid", color="blue", weight=9]; 1221 -> 754[label="",style="solid", color="blue", weight=3]; 1222[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];562 -> 1222[label="",style="solid", color="blue", weight=9]; 1222 -> 755[label="",style="solid", color="blue", weight=3]; 1223[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];562 -> 1223[label="",style="solid", color="blue", weight=9]; 1223 -> 756[label="",style="solid", color="blue", weight=3]; 1224[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];562 -> 1224[label="",style="solid", color="blue", weight=9]; 1224 -> 757[label="",style="solid", color="blue", weight=3]; 1225[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];562 -> 1225[label="",style="solid", color="blue", weight=9]; 1225 -> 758[label="",style="solid", color="blue", weight=3]; 1226[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];562 -> 1226[label="",style="solid", color="blue", weight=9]; 1226 -> 759[label="",style="solid", color="blue", weight=3]; 1227[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];562 -> 1227[label="",style="solid", color="blue", weight=9]; 1227 -> 760[label="",style="solid", color="blue", weight=3]; 1228[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];562 -> 1228[label="",style="solid", color="blue", weight=9]; 1228 -> 761[label="",style="solid", color="blue", weight=3]; 1229[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];562 -> 1229[label="",style="solid", color="blue", weight=9]; 1229 -> 762[label="",style="solid", color="blue", weight=3]; 563[label="yu302 == yu40002",fontsize=16,color="blue",shape="box"];1230[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];563 -> 1230[label="",style="solid", color="blue", weight=9]; 1230 -> 763[label="",style="solid", color="blue", weight=3]; 1231[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];563 -> 1231[label="",style="solid", color="blue", weight=9]; 1231 -> 764[label="",style="solid", color="blue", weight=3]; 1232[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];563 -> 1232[label="",style="solid", color="blue", weight=9]; 1232 -> 765[label="",style="solid", color="blue", weight=3]; 1233[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];563 -> 1233[label="",style="solid", color="blue", weight=9]; 1233 -> 766[label="",style="solid", color="blue", weight=3]; 1234[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];563 -> 1234[label="",style="solid", color="blue", weight=9]; 1234 -> 767[label="",style="solid", color="blue", weight=3]; 1235[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];563 -> 1235[label="",style="solid", color="blue", weight=9]; 1235 -> 768[label="",style="solid", color="blue", weight=3]; 1236[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];563 -> 1236[label="",style="solid", color="blue", weight=9]; 1236 -> 769[label="",style="solid", color="blue", weight=3]; 1237[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];563 -> 1237[label="",style="solid", color="blue", weight=9]; 1237 -> 770[label="",style="solid", color="blue", weight=3]; 1238[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];563 -> 1238[label="",style="solid", color="blue", weight=9]; 1238 -> 771[label="",style="solid", color="blue", weight=3]; 1239[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];563 -> 1239[label="",style="solid", color="blue", weight=9]; 1239 -> 772[label="",style="solid", color="blue", weight=3]; 1240[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];563 -> 1240[label="",style="solid", color="blue", weight=9]; 1240 -> 773[label="",style="solid", color="blue", weight=3]; 1241[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];563 -> 1241[label="",style="solid", color="blue", weight=9]; 1241 -> 774[label="",style="solid", color="blue", weight=3]; 1242[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];563 -> 1242[label="",style="solid", color="blue", weight=9]; 1242 -> 775[label="",style="solid", color="blue", weight=3]; 1243[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];563 -> 1243[label="",style="solid", color="blue", weight=9]; 1243 -> 776[label="",style="solid", color="blue", weight=3]; 564[label="yu300",fontsize=16,color="green",shape="box"];565[label="yu40000",fontsize=16,color="green",shape="box"];566[label="yu300",fontsize=16,color="green",shape="box"];567[label="yu40000",fontsize=16,color="green",shape="box"];568[label="yu300",fontsize=16,color="green",shape="box"];569[label="yu40000",fontsize=16,color="green",shape="box"];570[label="yu300",fontsize=16,color="green",shape="box"];571[label="yu40000",fontsize=16,color="green",shape="box"];572[label="yu300",fontsize=16,color="green",shape="box"];573[label="yu40000",fontsize=16,color="green",shape="box"];574[label="yu300",fontsize=16,color="green",shape="box"];575[label="yu40000",fontsize=16,color="green",shape="box"];576[label="yu300",fontsize=16,color="green",shape="box"];577[label="yu40000",fontsize=16,color="green",shape="box"];578[label="yu300",fontsize=16,color="green",shape="box"];579[label="yu40000",fontsize=16,color="green",shape="box"];580[label="yu300",fontsize=16,color="green",shape="box"];581[label="yu40000",fontsize=16,color="green",shape="box"];582[label="yu300",fontsize=16,color="green",shape="box"];583[label="yu40000",fontsize=16,color="green",shape="box"];584[label="yu300",fontsize=16,color="green",shape="box"];585[label="yu40000",fontsize=16,color="green",shape="box"];586[label="yu300",fontsize=16,color="green",shape="box"];587[label="yu40000",fontsize=16,color="green",shape="box"];588[label="yu300",fontsize=16,color="green",shape="box"];589[label="yu40000",fontsize=16,color="green",shape="box"];590[label="yu300",fontsize=16,color="green",shape="box"];591[label="yu40000",fontsize=16,color="green",shape="box"];592[label="yu300",fontsize=16,color="green",shape="box"];593[label="yu40000",fontsize=16,color="green",shape="box"];594[label="yu300",fontsize=16,color="green",shape="box"];595[label="yu40000",fontsize=16,color="green",shape="box"];596[label="yu300",fontsize=16,color="green",shape="box"];597[label="yu40000",fontsize=16,color="green",shape="box"];598[label="yu300",fontsize=16,color="green",shape="box"];599[label="yu40000",fontsize=16,color="green",shape="box"];600[label="yu300",fontsize=16,color="green",shape="box"];601[label="yu40000",fontsize=16,color="green",shape="box"];602[label="yu300",fontsize=16,color="green",shape="box"];603[label="yu40000",fontsize=16,color="green",shape="box"];604[label="yu300",fontsize=16,color="green",shape="box"];605[label="yu40000",fontsize=16,color="green",shape="box"];606[label="yu300",fontsize=16,color="green",shape="box"];607[label="yu40000",fontsize=16,color="green",shape="box"];608[label="yu300",fontsize=16,color="green",shape="box"];609[label="yu40000",fontsize=16,color="green",shape="box"];610[label="yu300",fontsize=16,color="green",shape="box"];611[label="yu40000",fontsize=16,color="green",shape="box"];612[label="yu300",fontsize=16,color="green",shape="box"];613[label="yu40000",fontsize=16,color="green",shape="box"];614[label="yu300",fontsize=16,color="green",shape="box"];615[label="yu40000",fontsize=16,color="green",shape="box"];616[label="yu300",fontsize=16,color="green",shape="box"];617[label="yu40000",fontsize=16,color="green",shape="box"];618[label="yu300",fontsize=16,color="green",shape="box"];619[label="yu40000",fontsize=16,color="green",shape="box"];620 -> 542[label="",style="dashed", color="red", weight=0]; 620[label="yu300 * yu40001",fontsize=16,color="magenta"];620 -> 777[label="",style="dashed", color="magenta", weight=3]; 620 -> 778[label="",style="dashed", color="magenta", weight=3]; 621 -> 542[label="",style="dashed", color="red", weight=0]; 621[label="yu301 * yu40000",fontsize=16,color="magenta"];621 -> 779[label="",style="dashed", color="magenta", weight=3]; 621 -> 780[label="",style="dashed", color="magenta", weight=3]; 622 -> 327[label="",style="dashed", color="red", weight=0]; 622[label="yu300 == yu40000",fontsize=16,color="magenta"];622 -> 781[label="",style="dashed", color="magenta", weight=3]; 622 -> 782[label="",style="dashed", color="magenta", weight=3]; 623 -> 328[label="",style="dashed", color="red", weight=0]; 623[label="yu300 == yu40000",fontsize=16,color="magenta"];623 -> 783[label="",style="dashed", color="magenta", weight=3]; 623 -> 784[label="",style="dashed", color="magenta", weight=3]; 624 -> 329[label="",style="dashed", color="red", weight=0]; 624[label="yu300 == yu40000",fontsize=16,color="magenta"];624 -> 785[label="",style="dashed", color="magenta", weight=3]; 624 -> 786[label="",style="dashed", color="magenta", weight=3]; 625 -> 330[label="",style="dashed", color="red", weight=0]; 625[label="yu300 == yu40000",fontsize=16,color="magenta"];625 -> 787[label="",style="dashed", color="magenta", weight=3]; 625 -> 788[label="",style="dashed", color="magenta", weight=3]; 626 -> 331[label="",style="dashed", color="red", weight=0]; 626[label="yu300 == yu40000",fontsize=16,color="magenta"];626 -> 789[label="",style="dashed", color="magenta", weight=3]; 626 -> 790[label="",style="dashed", color="magenta", weight=3]; 627 -> 332[label="",style="dashed", color="red", weight=0]; 627[label="yu300 == yu40000",fontsize=16,color="magenta"];627 -> 791[label="",style="dashed", color="magenta", weight=3]; 627 -> 792[label="",style="dashed", color="magenta", weight=3]; 628 -> 333[label="",style="dashed", color="red", weight=0]; 628[label="yu300 == yu40000",fontsize=16,color="magenta"];628 -> 793[label="",style="dashed", color="magenta", weight=3]; 628 -> 794[label="",style="dashed", color="magenta", weight=3]; 629 -> 334[label="",style="dashed", color="red", weight=0]; 629[label="yu300 == yu40000",fontsize=16,color="magenta"];629 -> 795[label="",style="dashed", color="magenta", weight=3]; 629 -> 796[label="",style="dashed", color="magenta", weight=3]; 630 -> 335[label="",style="dashed", color="red", weight=0]; 630[label="yu300 == yu40000",fontsize=16,color="magenta"];630 -> 797[label="",style="dashed", color="magenta", weight=3]; 630 -> 798[label="",style="dashed", color="magenta", weight=3]; 631 -> 336[label="",style="dashed", color="red", weight=0]; 631[label="yu300 == yu40000",fontsize=16,color="magenta"];631 -> 799[label="",style="dashed", color="magenta", weight=3]; 631 -> 800[label="",style="dashed", color="magenta", weight=3]; 632 -> 337[label="",style="dashed", color="red", weight=0]; 632[label="yu300 == yu40000",fontsize=16,color="magenta"];632 -> 801[label="",style="dashed", color="magenta", weight=3]; 632 -> 802[label="",style="dashed", color="magenta", weight=3]; 633 -> 338[label="",style="dashed", color="red", weight=0]; 633[label="yu300 == yu40000",fontsize=16,color="magenta"];633 -> 803[label="",style="dashed", color="magenta", weight=3]; 633 -> 804[label="",style="dashed", color="magenta", weight=3]; 634 -> 339[label="",style="dashed", color="red", weight=0]; 634[label="yu300 == yu40000",fontsize=16,color="magenta"];634 -> 805[label="",style="dashed", color="magenta", weight=3]; 634 -> 806[label="",style="dashed", color="magenta", weight=3]; 635 -> 340[label="",style="dashed", color="red", weight=0]; 635[label="yu300 == yu40000",fontsize=16,color="magenta"];635 -> 807[label="",style="dashed", color="magenta", weight=3]; 635 -> 808[label="",style="dashed", color="magenta", weight=3]; 636[label="yu301",fontsize=16,color="green",shape="box"];637[label="yu40001",fontsize=16,color="green",shape="box"];638[label="yu300",fontsize=16,color="green",shape="box"];639[label="yu40000",fontsize=16,color="green",shape="box"];640[label="yu300",fontsize=16,color="green",shape="box"];641[label="yu40000",fontsize=16,color="green",shape="box"];642[label="yu300",fontsize=16,color="green",shape="box"];643[label="yu40000",fontsize=16,color="green",shape="box"];644[label="yu300",fontsize=16,color="green",shape="box"];645[label="yu40000",fontsize=16,color="green",shape="box"];646[label="yu300",fontsize=16,color="green",shape="box"];647[label="yu40000",fontsize=16,color="green",shape="box"];648[label="yu300",fontsize=16,color="green",shape="box"];649[label="yu40000",fontsize=16,color="green",shape="box"];650[label="yu300",fontsize=16,color="green",shape="box"];651[label="yu40000",fontsize=16,color="green",shape="box"];652[label="yu300",fontsize=16,color="green",shape="box"];653[label="yu40000",fontsize=16,color="green",shape="box"];654[label="yu300",fontsize=16,color="green",shape="box"];655[label="yu40000",fontsize=16,color="green",shape="box"];656[label="yu300",fontsize=16,color="green",shape="box"];657[label="yu40000",fontsize=16,color="green",shape="box"];658[label="yu300",fontsize=16,color="green",shape="box"];659[label="yu40000",fontsize=16,color="green",shape="box"];660[label="yu300",fontsize=16,color="green",shape="box"];661[label="yu40000",fontsize=16,color="green",shape="box"];662[label="yu300",fontsize=16,color="green",shape="box"];663[label="yu40000",fontsize=16,color="green",shape="box"];664[label="yu300",fontsize=16,color="green",shape="box"];665[label="yu40000",fontsize=16,color="green",shape="box"];666[label="primEqNat (Succ yu3000) yu40000",fontsize=16,color="burlywood",shape="box"];1244[label="yu40000/Succ yu400000",fontsize=10,color="white",style="solid",shape="box"];666 -> 1244[label="",style="solid", color="burlywood", weight=9]; 1244 -> 809[label="",style="solid", color="burlywood", weight=3]; 1245[label="yu40000/Zero",fontsize=10,color="white",style="solid",shape="box"];666 -> 1245[label="",style="solid", color="burlywood", weight=9]; 1245 -> 810[label="",style="solid", color="burlywood", weight=3]; 667[label="primEqNat Zero yu40000",fontsize=16,color="burlywood",shape="box"];1246[label="yu40000/Succ yu400000",fontsize=10,color="white",style="solid",shape="box"];667 -> 1246[label="",style="solid", color="burlywood", weight=9]; 1246 -> 811[label="",style="solid", color="burlywood", weight=3]; 1247[label="yu40000/Zero",fontsize=10,color="white",style="solid",shape="box"];667 -> 1247[label="",style="solid", color="burlywood", weight=9]; 1247 -> 812[label="",style="solid", color="burlywood", weight=3]; 668[label="primEqInt (Pos (Succ yu3000)) (Pos (Succ yu400000))",fontsize=16,color="black",shape="box"];668 -> 813[label="",style="solid", color="black", weight=3]; 669[label="primEqInt (Pos (Succ yu3000)) (Pos Zero)",fontsize=16,color="black",shape="box"];669 -> 814[label="",style="solid", color="black", weight=3]; 670[label="False",fontsize=16,color="green",shape="box"];671[label="primEqInt (Pos Zero) (Pos (Succ yu400000))",fontsize=16,color="black",shape="box"];671 -> 815[label="",style="solid", color="black", weight=3]; 672[label="primEqInt (Pos Zero) (Pos Zero)",fontsize=16,color="black",shape="box"];672 -> 816[label="",style="solid", color="black", weight=3]; 673[label="primEqInt (Pos Zero) (Neg (Succ yu400000))",fontsize=16,color="black",shape="box"];673 -> 817[label="",style="solid", color="black", weight=3]; 674[label="primEqInt (Pos Zero) (Neg Zero)",fontsize=16,color="black",shape="box"];674 -> 818[label="",style="solid", color="black", weight=3]; 675[label="False",fontsize=16,color="green",shape="box"];676[label="primEqInt (Neg (Succ yu3000)) (Neg (Succ yu400000))",fontsize=16,color="black",shape="box"];676 -> 819[label="",style="solid", color="black", weight=3]; 677[label="primEqInt (Neg (Succ yu3000)) (Neg Zero)",fontsize=16,color="black",shape="box"];677 -> 820[label="",style="solid", color="black", weight=3]; 678[label="primEqInt (Neg Zero) (Pos (Succ yu400000))",fontsize=16,color="black",shape="box"];678 -> 821[label="",style="solid", color="black", weight=3]; 679[label="primEqInt (Neg Zero) (Pos Zero)",fontsize=16,color="black",shape="box"];679 -> 822[label="",style="solid", color="black", weight=3]; 680[label="primEqInt (Neg Zero) (Neg (Succ yu400000))",fontsize=16,color="black",shape="box"];680 -> 823[label="",style="solid", color="black", weight=3]; 681[label="primEqInt (Neg Zero) (Neg Zero)",fontsize=16,color="black",shape="box"];681 -> 824[label="",style="solid", color="black", weight=3]; 682 -> 327[label="",style="dashed", color="red", weight=0]; 682[label="yu300 == yu40000",fontsize=16,color="magenta"];682 -> 825[label="",style="dashed", color="magenta", weight=3]; 682 -> 826[label="",style="dashed", color="magenta", weight=3]; 683 -> 328[label="",style="dashed", color="red", weight=0]; 683[label="yu300 == yu40000",fontsize=16,color="magenta"];683 -> 827[label="",style="dashed", color="magenta", weight=3]; 683 -> 828[label="",style="dashed", color="magenta", weight=3]; 684 -> 329[label="",style="dashed", color="red", weight=0]; 684[label="yu300 == yu40000",fontsize=16,color="magenta"];684 -> 829[label="",style="dashed", color="magenta", weight=3]; 684 -> 830[label="",style="dashed", color="magenta", weight=3]; 685 -> 330[label="",style="dashed", color="red", weight=0]; 685[label="yu300 == yu40000",fontsize=16,color="magenta"];685 -> 831[label="",style="dashed", color="magenta", weight=3]; 685 -> 832[label="",style="dashed", color="magenta", weight=3]; 686 -> 331[label="",style="dashed", color="red", weight=0]; 686[label="yu300 == yu40000",fontsize=16,color="magenta"];686 -> 833[label="",style="dashed", color="magenta", weight=3]; 686 -> 834[label="",style="dashed", color="magenta", weight=3]; 687 -> 332[label="",style="dashed", color="red", weight=0]; 687[label="yu300 == yu40000",fontsize=16,color="magenta"];687 -> 835[label="",style="dashed", color="magenta", weight=3]; 687 -> 836[label="",style="dashed", color="magenta", weight=3]; 688 -> 333[label="",style="dashed", color="red", weight=0]; 688[label="yu300 == yu40000",fontsize=16,color="magenta"];688 -> 837[label="",style="dashed", color="magenta", weight=3]; 688 -> 838[label="",style="dashed", color="magenta", weight=3]; 689 -> 334[label="",style="dashed", color="red", weight=0]; 689[label="yu300 == yu40000",fontsize=16,color="magenta"];689 -> 839[label="",style="dashed", color="magenta", weight=3]; 689 -> 840[label="",style="dashed", color="magenta", weight=3]; 690 -> 335[label="",style="dashed", color="red", weight=0]; 690[label="yu300 == yu40000",fontsize=16,color="magenta"];690 -> 841[label="",style="dashed", color="magenta", weight=3]; 690 -> 842[label="",style="dashed", color="magenta", weight=3]; 691 -> 336[label="",style="dashed", color="red", weight=0]; 691[label="yu300 == yu40000",fontsize=16,color="magenta"];691 -> 843[label="",style="dashed", color="magenta", weight=3]; 691 -> 844[label="",style="dashed", color="magenta", weight=3]; 692 -> 337[label="",style="dashed", color="red", weight=0]; 692[label="yu300 == yu40000",fontsize=16,color="magenta"];692 -> 845[label="",style="dashed", color="magenta", weight=3]; 692 -> 846[label="",style="dashed", color="magenta", weight=3]; 693 -> 338[label="",style="dashed", color="red", weight=0]; 693[label="yu300 == yu40000",fontsize=16,color="magenta"];693 -> 847[label="",style="dashed", color="magenta", weight=3]; 693 -> 848[label="",style="dashed", color="magenta", weight=3]; 694 -> 339[label="",style="dashed", color="red", weight=0]; 694[label="yu300 == yu40000",fontsize=16,color="magenta"];694 -> 849[label="",style="dashed", color="magenta", weight=3]; 694 -> 850[label="",style="dashed", color="magenta", weight=3]; 695 -> 340[label="",style="dashed", color="red", weight=0]; 695[label="yu300 == yu40000",fontsize=16,color="magenta"];695 -> 851[label="",style="dashed", color="magenta", weight=3]; 695 -> 852[label="",style="dashed", color="magenta", weight=3]; 696 -> 327[label="",style="dashed", color="red", weight=0]; 696[label="yu301 == yu40001",fontsize=16,color="magenta"];696 -> 853[label="",style="dashed", color="magenta", weight=3]; 696 -> 854[label="",style="dashed", color="magenta", weight=3]; 697 -> 328[label="",style="dashed", color="red", weight=0]; 697[label="yu301 == yu40001",fontsize=16,color="magenta"];697 -> 855[label="",style="dashed", color="magenta", weight=3]; 697 -> 856[label="",style="dashed", color="magenta", weight=3]; 698 -> 329[label="",style="dashed", color="red", weight=0]; 698[label="yu301 == yu40001",fontsize=16,color="magenta"];698 -> 857[label="",style="dashed", color="magenta", weight=3]; 698 -> 858[label="",style="dashed", color="magenta", weight=3]; 699 -> 330[label="",style="dashed", color="red", weight=0]; 699[label="yu301 == yu40001",fontsize=16,color="magenta"];699 -> 859[label="",style="dashed", color="magenta", weight=3]; 699 -> 860[label="",style="dashed", color="magenta", weight=3]; 700 -> 331[label="",style="dashed", color="red", weight=0]; 700[label="yu301 == yu40001",fontsize=16,color="magenta"];700 -> 861[label="",style="dashed", color="magenta", weight=3]; 700 -> 862[label="",style="dashed", color="magenta", weight=3]; 701 -> 332[label="",style="dashed", color="red", weight=0]; 701[label="yu301 == yu40001",fontsize=16,color="magenta"];701 -> 863[label="",style="dashed", color="magenta", weight=3]; 701 -> 864[label="",style="dashed", color="magenta", weight=3]; 702 -> 333[label="",style="dashed", color="red", weight=0]; 702[label="yu301 == yu40001",fontsize=16,color="magenta"];702 -> 865[label="",style="dashed", color="magenta", weight=3]; 702 -> 866[label="",style="dashed", color="magenta", weight=3]; 703 -> 334[label="",style="dashed", color="red", weight=0]; 703[label="yu301 == yu40001",fontsize=16,color="magenta"];703 -> 867[label="",style="dashed", color="magenta", weight=3]; 703 -> 868[label="",style="dashed", color="magenta", weight=3]; 704 -> 335[label="",style="dashed", color="red", weight=0]; 704[label="yu301 == yu40001",fontsize=16,color="magenta"];704 -> 869[label="",style="dashed", color="magenta", weight=3]; 704 -> 870[label="",style="dashed", color="magenta", weight=3]; 705 -> 336[label="",style="dashed", color="red", weight=0]; 705[label="yu301 == yu40001",fontsize=16,color="magenta"];705 -> 871[label="",style="dashed", color="magenta", weight=3]; 705 -> 872[label="",style="dashed", color="magenta", weight=3]; 706 -> 337[label="",style="dashed", color="red", weight=0]; 706[label="yu301 == yu40001",fontsize=16,color="magenta"];706 -> 873[label="",style="dashed", color="magenta", weight=3]; 706 -> 874[label="",style="dashed", color="magenta", weight=3]; 707 -> 338[label="",style="dashed", color="red", weight=0]; 707[label="yu301 == yu40001",fontsize=16,color="magenta"];707 -> 875[label="",style="dashed", color="magenta", weight=3]; 707 -> 876[label="",style="dashed", color="magenta", weight=3]; 708 -> 339[label="",style="dashed", color="red", weight=0]; 708[label="yu301 == yu40001",fontsize=16,color="magenta"];708 -> 877[label="",style="dashed", color="magenta", weight=3]; 708 -> 878[label="",style="dashed", color="magenta", weight=3]; 709 -> 340[label="",style="dashed", color="red", weight=0]; 709[label="yu301 == yu40001",fontsize=16,color="magenta"];709 -> 879[label="",style="dashed", color="magenta", weight=3]; 709 -> 880[label="",style="dashed", color="magenta", weight=3]; 710[label="primMulInt yu300 yu40001",fontsize=16,color="burlywood",shape="box"];1248[label="yu300/Pos yu3000",fontsize=10,color="white",style="solid",shape="box"];710 -> 1248[label="",style="solid", color="burlywood", weight=9]; 1248 -> 881[label="",style="solid", color="burlywood", weight=3]; 1249[label="yu300/Neg yu3000",fontsize=10,color="white",style="solid",shape="box"];710 -> 1249[label="",style="solid", color="burlywood", weight=9]; 1249 -> 882[label="",style="solid", color="burlywood", weight=3]; 711[label="yu40000",fontsize=16,color="green",shape="box"];712[label="yu301",fontsize=16,color="green",shape="box"];713[label="yu300",fontsize=16,color="green",shape="box"];714[label="yu40000",fontsize=16,color="green",shape="box"];715[label="yu300",fontsize=16,color="green",shape="box"];716[label="yu40000",fontsize=16,color="green",shape="box"];717[label="yu301",fontsize=16,color="green",shape="box"];718[label="yu40001",fontsize=16,color="green",shape="box"];719[label="yu301",fontsize=16,color="green",shape="box"];720[label="yu40001",fontsize=16,color="green",shape="box"];721[label="yu300",fontsize=16,color="green",shape="box"];722[label="yu40000",fontsize=16,color="green",shape="box"];723[label="yu300",fontsize=16,color="green",shape="box"];724[label="yu40000",fontsize=16,color="green",shape="box"];725[label="yu300",fontsize=16,color="green",shape="box"];726[label="yu40000",fontsize=16,color="green",shape="box"];727[label="yu300",fontsize=16,color="green",shape="box"];728[label="yu40000",fontsize=16,color="green",shape="box"];729[label="yu300",fontsize=16,color="green",shape="box"];730[label="yu40000",fontsize=16,color="green",shape="box"];731[label="yu300",fontsize=16,color="green",shape="box"];732[label="yu40000",fontsize=16,color="green",shape="box"];733[label="yu300",fontsize=16,color="green",shape="box"];734[label="yu40000",fontsize=16,color="green",shape="box"];735[label="yu300",fontsize=16,color="green",shape="box"];736[label="yu40000",fontsize=16,color="green",shape="box"];737[label="yu300",fontsize=16,color="green",shape="box"];738[label="yu40000",fontsize=16,color="green",shape="box"];739[label="yu300",fontsize=16,color="green",shape="box"];740[label="yu40000",fontsize=16,color="green",shape="box"];741[label="yu300",fontsize=16,color="green",shape="box"];742[label="yu40000",fontsize=16,color="green",shape="box"];743[label="yu300",fontsize=16,color="green",shape="box"];744[label="yu40000",fontsize=16,color="green",shape="box"];745[label="yu300",fontsize=16,color="green",shape="box"];746[label="yu40000",fontsize=16,color="green",shape="box"];747[label="yu300",fontsize=16,color="green",shape="box"];748[label="yu40000",fontsize=16,color="green",shape="box"];749 -> 327[label="",style="dashed", color="red", weight=0]; 749[label="yu301 == yu40001",fontsize=16,color="magenta"];749 -> 883[label="",style="dashed", color="magenta", weight=3]; 749 -> 884[label="",style="dashed", color="magenta", weight=3]; 750 -> 328[label="",style="dashed", color="red", weight=0]; 750[label="yu301 == yu40001",fontsize=16,color="magenta"];750 -> 885[label="",style="dashed", color="magenta", weight=3]; 750 -> 886[label="",style="dashed", color="magenta", weight=3]; 751 -> 329[label="",style="dashed", color="red", weight=0]; 751[label="yu301 == yu40001",fontsize=16,color="magenta"];751 -> 887[label="",style="dashed", color="magenta", weight=3]; 751 -> 888[label="",style="dashed", color="magenta", weight=3]; 752 -> 330[label="",style="dashed", color="red", weight=0]; 752[label="yu301 == yu40001",fontsize=16,color="magenta"];752 -> 889[label="",style="dashed", color="magenta", weight=3]; 752 -> 890[label="",style="dashed", color="magenta", weight=3]; 753 -> 331[label="",style="dashed", color="red", weight=0]; 753[label="yu301 == yu40001",fontsize=16,color="magenta"];753 -> 891[label="",style="dashed", color="magenta", weight=3]; 753 -> 892[label="",style="dashed", color="magenta", weight=3]; 754 -> 332[label="",style="dashed", color="red", weight=0]; 754[label="yu301 == yu40001",fontsize=16,color="magenta"];754 -> 893[label="",style="dashed", color="magenta", weight=3]; 754 -> 894[label="",style="dashed", color="magenta", weight=3]; 755 -> 333[label="",style="dashed", color="red", weight=0]; 755[label="yu301 == yu40001",fontsize=16,color="magenta"];755 -> 895[label="",style="dashed", color="magenta", weight=3]; 755 -> 896[label="",style="dashed", color="magenta", weight=3]; 756 -> 334[label="",style="dashed", color="red", weight=0]; 756[label="yu301 == yu40001",fontsize=16,color="magenta"];756 -> 897[label="",style="dashed", color="magenta", weight=3]; 756 -> 898[label="",style="dashed", color="magenta", weight=3]; 757 -> 335[label="",style="dashed", color="red", weight=0]; 757[label="yu301 == yu40001",fontsize=16,color="magenta"];757 -> 899[label="",style="dashed", color="magenta", weight=3]; 757 -> 900[label="",style="dashed", color="magenta", weight=3]; 758 -> 336[label="",style="dashed", color="red", weight=0]; 758[label="yu301 == yu40001",fontsize=16,color="magenta"];758 -> 901[label="",style="dashed", color="magenta", weight=3]; 758 -> 902[label="",style="dashed", color="magenta", weight=3]; 759 -> 337[label="",style="dashed", color="red", weight=0]; 759[label="yu301 == yu40001",fontsize=16,color="magenta"];759 -> 903[label="",style="dashed", color="magenta", weight=3]; 759 -> 904[label="",style="dashed", color="magenta", weight=3]; 760 -> 338[label="",style="dashed", color="red", weight=0]; 760[label="yu301 == yu40001",fontsize=16,color="magenta"];760 -> 905[label="",style="dashed", color="magenta", weight=3]; 760 -> 906[label="",style="dashed", color="magenta", weight=3]; 761 -> 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333[label="",style="dashed", color="red", weight=0]; 769[label="yu302 == yu40002",fontsize=16,color="magenta"];769 -> 923[label="",style="dashed", color="magenta", weight=3]; 769 -> 924[label="",style="dashed", color="magenta", weight=3]; 770 -> 334[label="",style="dashed", color="red", weight=0]; 770[label="yu302 == yu40002",fontsize=16,color="magenta"];770 -> 925[label="",style="dashed", color="magenta", weight=3]; 770 -> 926[label="",style="dashed", color="magenta", weight=3]; 771 -> 335[label="",style="dashed", color="red", weight=0]; 771[label="yu302 == yu40002",fontsize=16,color="magenta"];771 -> 927[label="",style="dashed", color="magenta", weight=3]; 771 -> 928[label="",style="dashed", color="magenta", weight=3]; 772 -> 336[label="",style="dashed", color="red", weight=0]; 772[label="yu302 == yu40002",fontsize=16,color="magenta"];772 -> 929[label="",style="dashed", color="magenta", weight=3]; 772 -> 930[label="",style="dashed", color="magenta", weight=3]; 773 -> 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777[label="yu40001",fontsize=16,color="green",shape="box"];778[label="yu300",fontsize=16,color="green",shape="box"];779[label="yu40000",fontsize=16,color="green",shape="box"];780[label="yu301",fontsize=16,color="green",shape="box"];781[label="yu300",fontsize=16,color="green",shape="box"];782[label="yu40000",fontsize=16,color="green",shape="box"];783[label="yu300",fontsize=16,color="green",shape="box"];784[label="yu40000",fontsize=16,color="green",shape="box"];785[label="yu300",fontsize=16,color="green",shape="box"];786[label="yu40000",fontsize=16,color="green",shape="box"];787[label="yu300",fontsize=16,color="green",shape="box"];788[label="yu40000",fontsize=16,color="green",shape="box"];789[label="yu300",fontsize=16,color="green",shape="box"];790[label="yu40000",fontsize=16,color="green",shape="box"];791[label="yu300",fontsize=16,color="green",shape="box"];792[label="yu40000",fontsize=16,color="green",shape="box"];793[label="yu300",fontsize=16,color="green",shape="box"];794[label="yu40000",fontsize=16,color="green",shape="box"];795[label="yu300",fontsize=16,color="green",shape="box"];796[label="yu40000",fontsize=16,color="green",shape="box"];797[label="yu300",fontsize=16,color="green",shape="box"];798[label="yu40000",fontsize=16,color="green",shape="box"];799[label="yu300",fontsize=16,color="green",shape="box"];800[label="yu40000",fontsize=16,color="green",shape="box"];801[label="yu300",fontsize=16,color="green",shape="box"];802[label="yu40000",fontsize=16,color="green",shape="box"];803[label="yu300",fontsize=16,color="green",shape="box"];804[label="yu40000",fontsize=16,color="green",shape="box"];805[label="yu300",fontsize=16,color="green",shape="box"];806[label="yu40000",fontsize=16,color="green",shape="box"];807[label="yu300",fontsize=16,color="green",shape="box"];808[label="yu40000",fontsize=16,color="green",shape="box"];809[label="primEqNat (Succ yu3000) (Succ yu400000)",fontsize=16,color="black",shape="box"];809 -> 939[label="",style="solid", color="black", weight=3]; 810[label="primEqNat (Succ yu3000) Zero",fontsize=16,color="black",shape="box"];810 -> 940[label="",style="solid", color="black", weight=3]; 811[label="primEqNat Zero (Succ yu400000)",fontsize=16,color="black",shape="box"];811 -> 941[label="",style="solid", color="black", weight=3]; 812[label="primEqNat Zero Zero",fontsize=16,color="black",shape="box"];812 -> 942[label="",style="solid", color="black", weight=3]; 813 -> 531[label="",style="dashed", color="red", weight=0]; 813[label="primEqNat yu3000 yu400000",fontsize=16,color="magenta"];813 -> 943[label="",style="dashed", color="magenta", weight=3]; 813 -> 944[label="",style="dashed", color="magenta", weight=3]; 814[label="False",fontsize=16,color="green",shape="box"];815[label="False",fontsize=16,color="green",shape="box"];816[label="True",fontsize=16,color="green",shape="box"];817[label="False",fontsize=16,color="green",shape="box"];818[label="True",fontsize=16,color="green",shape="box"];819 -> 531[label="",style="dashed", color="red", weight=0]; 819[label="primEqNat yu3000 yu400000",fontsize=16,color="magenta"];819 -> 945[label="",style="dashed", color="magenta", weight=3]; 819 -> 946[label="",style="dashed", color="magenta", weight=3]; 820[label="False",fontsize=16,color="green",shape="box"];821[label="False",fontsize=16,color="green",shape="box"];822[label="True",fontsize=16,color="green",shape="box"];823[label="False",fontsize=16,color="green",shape="box"];824[label="True",fontsize=16,color="green",shape="box"];825[label="yu300",fontsize=16,color="green",shape="box"];826[label="yu40000",fontsize=16,color="green",shape="box"];827[label="yu300",fontsize=16,color="green",shape="box"];828[label="yu40000",fontsize=16,color="green",shape="box"];829[label="yu300",fontsize=16,color="green",shape="box"];830[label="yu40000",fontsize=16,color="green",shape="box"];831[label="yu300",fontsize=16,color="green",shape="box"];832[label="yu40000",fontsize=16,color="green",shape="box"];833[label="yu300",fontsize=16,color="green",shape="box"];834[label="yu40000",fontsize=16,color="green",shape="box"];835[label="yu300",fontsize=16,color="green",shape="box"];836[label="yu40000",fontsize=16,color="green",shape="box"];837[label="yu300",fontsize=16,color="green",shape="box"];838[label="yu40000",fontsize=16,color="green",shape="box"];839[label="yu300",fontsize=16,color="green",shape="box"];840[label="yu40000",fontsize=16,color="green",shape="box"];841[label="yu300",fontsize=16,color="green",shape="box"];842[label="yu40000",fontsize=16,color="green",shape="box"];843[label="yu300",fontsize=16,color="green",shape="box"];844[label="yu40000",fontsize=16,color="green",shape="box"];845[label="yu300",fontsize=16,color="green",shape="box"];846[label="yu40000",fontsize=16,color="green",shape="box"];847[label="yu300",fontsize=16,color="green",shape="box"];848[label="yu40000",fontsize=16,color="green",shape="box"];849[label="yu300",fontsize=16,color="green",shape="box"];850[label="yu40000",fontsize=16,color="green",shape="box"];851[label="yu300",fontsize=16,color="green",shape="box"];852[label="yu40000",fontsize=16,color="green",shape="box"];853[label="yu301",fontsize=16,color="green",shape="box"];854[label="yu40001",fontsize=16,color="green",shape="box"];855[label="yu301",fontsize=16,color="green",shape="box"];856[label="yu40001",fontsize=16,color="green",shape="box"];857[label="yu301",fontsize=16,color="green",shape="box"];858[label="yu40001",fontsize=16,color="green",shape="box"];859[label="yu301",fontsize=16,color="green",shape="box"];860[label="yu40001",fontsize=16,color="green",shape="box"];861[label="yu301",fontsize=16,color="green",shape="box"];862[label="yu40001",fontsize=16,color="green",shape="box"];863[label="yu301",fontsize=16,color="green",shape="box"];864[label="yu40001",fontsize=16,color="green",shape="box"];865[label="yu301",fontsize=16,color="green",shape="box"];866[label="yu40001",fontsize=16,color="green",shape="box"];867[label="yu301",fontsize=16,color="green",shape="box"];868[label="yu40001",fontsize=16,color="green",shape="box"];869[label="yu301",fontsize=16,color="green",shape="box"];870[label="yu40001",fontsize=16,color="green",shape="box"];871[label="yu301",fontsize=16,color="green",shape="box"];872[label="yu40001",fontsize=16,color="green",shape="box"];873[label="yu301",fontsize=16,color="green",shape="box"];874[label="yu40001",fontsize=16,color="green",shape="box"];875[label="yu301",fontsize=16,color="green",shape="box"];876[label="yu40001",fontsize=16,color="green",shape="box"];877[label="yu301",fontsize=16,color="green",shape="box"];878[label="yu40001",fontsize=16,color="green",shape="box"];879[label="yu301",fontsize=16,color="green",shape="box"];880[label="yu40001",fontsize=16,color="green",shape="box"];881[label="primMulInt (Pos yu3000) yu40001",fontsize=16,color="burlywood",shape="box"];1250[label="yu40001/Pos yu400010",fontsize=10,color="white",style="solid",shape="box"];881 -> 1250[label="",style="solid", color="burlywood", weight=9]; 1250 -> 947[label="",style="solid", color="burlywood", weight=3]; 1251[label="yu40001/Neg yu400010",fontsize=10,color="white",style="solid",shape="box"];881 -> 1251[label="",style="solid", color="burlywood", weight=9]; 1251 -> 948[label="",style="solid", color="burlywood", weight=3]; 882[label="primMulInt (Neg yu3000) yu40001",fontsize=16,color="burlywood",shape="box"];1252[label="yu40001/Pos yu400010",fontsize=10,color="white",style="solid",shape="box"];882 -> 1252[label="",style="solid", color="burlywood", weight=9]; 1252 -> 949[label="",style="solid", color="burlywood", weight=3]; 1253[label="yu40001/Neg yu400010",fontsize=10,color="white",style="solid",shape="box"];882 -> 1253[label="",style="solid", color="burlywood", weight=9]; 1253 -> 950[label="",style="solid", color="burlywood", weight=3]; 883[label="yu301",fontsize=16,color="green",shape="box"];884[label="yu40001",fontsize=16,color="green",shape="box"];885[label="yu301",fontsize=16,color="green",shape="box"];886[label="yu40001",fontsize=16,color="green",shape="box"];887[label="yu301",fontsize=16,color="green",shape="box"];888[label="yu40001",fontsize=16,color="green",shape="box"];889[label="yu301",fontsize=16,color="green",shape="box"];890[label="yu40001",fontsize=16,color="green",shape="box"];891[label="yu301",fontsize=16,color="green",shape="box"];892[label="yu40001",fontsize=16,color="green",shape="box"];893[label="yu301",fontsize=16,color="green",shape="box"];894[label="yu40001",fontsize=16,color="green",shape="box"];895[label="yu301",fontsize=16,color="green",shape="box"];896[label="yu40001",fontsize=16,color="green",shape="box"];897[label="yu301",fontsize=16,color="green",shape="box"];898[label="yu40001",fontsize=16,color="green",shape="box"];899[label="yu301",fontsize=16,color="green",shape="box"];900[label="yu40001",fontsize=16,color="green",shape="box"];901[label="yu301",fontsize=16,color="green",shape="box"];902[label="yu40001",fontsize=16,color="green",shape="box"];903[label="yu301",fontsize=16,color="green",shape="box"];904[label="yu40001",fontsize=16,color="green",shape="box"];905[label="yu301",fontsize=16,color="green",shape="box"];906[label="yu40001",fontsize=16,color="green",shape="box"];907[label="yu301",fontsize=16,color="green",shape="box"];908[label="yu40001",fontsize=16,color="green",shape="box"];909[label="yu301",fontsize=16,color="green",shape="box"];910[label="yu40001",fontsize=16,color="green",shape="box"];911[label="yu302",fontsize=16,color="green",shape="box"];912[label="yu40002",fontsize=16,color="green",shape="box"];913[label="yu302",fontsize=16,color="green",shape="box"];914[label="yu40002",fontsize=16,color="green",shape="box"];915[label="yu302",fontsize=16,color="green",shape="box"];916[label="yu40002",fontsize=16,color="green",shape="box"];917[label="yu302",fontsize=16,color="green",shape="box"];918[label="yu40002",fontsize=16,color="green",shape="box"];919[label="yu302",fontsize=16,color="green",shape="box"];920[label="yu40002",fontsize=16,color="green",shape="box"];921[label="yu302",fontsize=16,color="green",shape="box"];922[label="yu40002",fontsize=16,color="green",shape="box"];923[label="yu302",fontsize=16,color="green",shape="box"];924[label="yu40002",fontsize=16,color="green",shape="box"];925[label="yu302",fontsize=16,color="green",shape="box"];926[label="yu40002",fontsize=16,color="green",shape="box"];927[label="yu302",fontsize=16,color="green",shape="box"];928[label="yu40002",fontsize=16,color="green",shape="box"];929[label="yu302",fontsize=16,color="green",shape="box"];930[label="yu40002",fontsize=16,color="green",shape="box"];931[label="yu302",fontsize=16,color="green",shape="box"];932[label="yu40002",fontsize=16,color="green",shape="box"];933[label="yu302",fontsize=16,color="green",shape="box"];934[label="yu40002",fontsize=16,color="green",shape="box"];935[label="yu302",fontsize=16,color="green",shape="box"];936[label="yu40002",fontsize=16,color="green",shape="box"];937[label="yu302",fontsize=16,color="green",shape="box"];938[label="yu40002",fontsize=16,color="green",shape="box"];939 -> 531[label="",style="dashed", color="red", weight=0]; 939[label="primEqNat yu3000 yu400000",fontsize=16,color="magenta"];939 -> 951[label="",style="dashed", color="magenta", weight=3]; 939 -> 952[label="",style="dashed", color="magenta", weight=3]; 940[label="False",fontsize=16,color="green",shape="box"];941[label="False",fontsize=16,color="green",shape="box"];942[label="True",fontsize=16,color="green",shape="box"];943[label="yu400000",fontsize=16,color="green",shape="box"];944[label="yu3000",fontsize=16,color="green",shape="box"];945[label="yu400000",fontsize=16,color="green",shape="box"];946[label="yu3000",fontsize=16,color="green",shape="box"];947[label="primMulInt (Pos yu3000) (Pos yu400010)",fontsize=16,color="black",shape="box"];947 -> 953[label="",style="solid", color="black", weight=3]; 948[label="primMulInt (Pos yu3000) (Neg yu400010)",fontsize=16,color="black",shape="box"];948 -> 954[label="",style="solid", color="black", weight=3]; 949[label="primMulInt (Neg yu3000) (Pos yu400010)",fontsize=16,color="black",shape="box"];949 -> 955[label="",style="solid", color="black", weight=3]; 950[label="primMulInt (Neg yu3000) (Neg yu400010)",fontsize=16,color="black",shape="box"];950 -> 956[label="",style="solid", color="black", weight=3]; 951[label="yu400000",fontsize=16,color="green",shape="box"];952[label="yu3000",fontsize=16,color="green",shape="box"];953[label="Pos (primMulNat yu3000 yu400010)",fontsize=16,color="green",shape="box"];953 -> 957[label="",style="dashed", color="green", weight=3]; 954[label="Neg (primMulNat yu3000 yu400010)",fontsize=16,color="green",shape="box"];954 -> 958[label="",style="dashed", color="green", weight=3]; 955[label="Neg (primMulNat yu3000 yu400010)",fontsize=16,color="green",shape="box"];955 -> 959[label="",style="dashed", color="green", weight=3]; 956[label="Pos (primMulNat yu3000 yu400010)",fontsize=16,color="green",shape="box"];956 -> 960[label="",style="dashed", color="green", weight=3]; 957[label="primMulNat yu3000 yu400010",fontsize=16,color="burlywood",shape="triangle"];1254[label="yu3000/Succ yu30000",fontsize=10,color="white",style="solid",shape="box"];957 -> 1254[label="",style="solid", color="burlywood", weight=9]; 1254 -> 961[label="",style="solid", color="burlywood", weight=3]; 1255[label="yu3000/Zero",fontsize=10,color="white",style="solid",shape="box"];957 -> 1255[label="",style="solid", color="burlywood", weight=9]; 1255 -> 962[label="",style="solid", color="burlywood", weight=3]; 958 -> 957[label="",style="dashed", color="red", weight=0]; 958[label="primMulNat yu3000 yu400010",fontsize=16,color="magenta"];958 -> 963[label="",style="dashed", color="magenta", weight=3]; 959 -> 957[label="",style="dashed", color="red", weight=0]; 959[label="primMulNat yu3000 yu400010",fontsize=16,color="magenta"];959 -> 964[label="",style="dashed", color="magenta", weight=3]; 960 -> 957[label="",style="dashed", color="red", weight=0]; 960[label="primMulNat yu3000 yu400010",fontsize=16,color="magenta"];960 -> 965[label="",style="dashed", color="magenta", weight=3]; 960 -> 966[label="",style="dashed", color="magenta", weight=3]; 961[label="primMulNat (Succ yu30000) yu400010",fontsize=16,color="burlywood",shape="box"];1256[label="yu400010/Succ yu4000100",fontsize=10,color="white",style="solid",shape="box"];961 -> 1256[label="",style="solid", color="burlywood", weight=9]; 1256 -> 967[label="",style="solid", color="burlywood", weight=3]; 1257[label="yu400010/Zero",fontsize=10,color="white",style="solid",shape="box"];961 -> 1257[label="",style="solid", color="burlywood", weight=9]; 1257 -> 968[label="",style="solid", color="burlywood", weight=3]; 962[label="primMulNat Zero yu400010",fontsize=16,color="burlywood",shape="box"];1258[label="yu400010/Succ yu4000100",fontsize=10,color="white",style="solid",shape="box"];962 -> 1258[label="",style="solid", color="burlywood", weight=9]; 1258 -> 969[label="",style="solid", color="burlywood", weight=3]; 1259[label="yu400010/Zero",fontsize=10,color="white",style="solid",shape="box"];962 -> 1259[label="",style="solid", color="burlywood", weight=9]; 1259 -> 970[label="",style="solid", color="burlywood", weight=3]; 963[label="yu400010",fontsize=16,color="green",shape="box"];964[label="yu3000",fontsize=16,color="green",shape="box"];965[label="yu400010",fontsize=16,color="green",shape="box"];966[label="yu3000",fontsize=16,color="green",shape="box"];967[label="primMulNat (Succ yu30000) (Succ yu4000100)",fontsize=16,color="black",shape="box"];967 -> 971[label="",style="solid", color="black", weight=3]; 968[label="primMulNat (Succ yu30000) Zero",fontsize=16,color="black",shape="box"];968 -> 972[label="",style="solid", color="black", weight=3]; 969[label="primMulNat Zero (Succ yu4000100)",fontsize=16,color="black",shape="box"];969 -> 973[label="",style="solid", color="black", weight=3]; 970[label="primMulNat Zero Zero",fontsize=16,color="black",shape="box"];970 -> 974[label="",style="solid", color="black", weight=3]; 971 -> 975[label="",style="dashed", color="red", weight=0]; 971[label="primPlusNat (primMulNat yu30000 (Succ yu4000100)) (Succ yu4000100)",fontsize=16,color="magenta"];971 -> 976[label="",style="dashed", color="magenta", weight=3]; 972[label="Zero",fontsize=16,color="green",shape="box"];973[label="Zero",fontsize=16,color="green",shape="box"];974[label="Zero",fontsize=16,color="green",shape="box"];976 -> 957[label="",style="dashed", color="red", weight=0]; 976[label="primMulNat yu30000 (Succ yu4000100)",fontsize=16,color="magenta"];976 -> 977[label="",style="dashed", color="magenta", weight=3]; 976 -> 978[label="",style="dashed", color="magenta", weight=3]; 975[label="primPlusNat yu48 (Succ yu4000100)",fontsize=16,color="burlywood",shape="triangle"];1260[label="yu48/Succ yu480",fontsize=10,color="white",style="solid",shape="box"];975 -> 1260[label="",style="solid", color="burlywood", weight=9]; 1260 -> 979[label="",style="solid", color="burlywood", weight=3]; 1261[label="yu48/Zero",fontsize=10,color="white",style="solid",shape="box"];975 -> 1261[label="",style="solid", color="burlywood", weight=9]; 1261 -> 980[label="",style="solid", color="burlywood", weight=3]; 977[label="Succ yu4000100",fontsize=16,color="green",shape="box"];978[label="yu30000",fontsize=16,color="green",shape="box"];979[label="primPlusNat (Succ yu480) (Succ yu4000100)",fontsize=16,color="black",shape="box"];979 -> 981[label="",style="solid", color="black", weight=3]; 980[label="primPlusNat Zero (Succ yu4000100)",fontsize=16,color="black",shape="box"];980 -> 982[label="",style="solid", color="black", weight=3]; 981[label="Succ (Succ (primPlusNat yu480 yu4000100))",fontsize=16,color="green",shape="box"];981 -> 983[label="",style="dashed", color="green", weight=3]; 982[label="Succ yu4000100",fontsize=16,color="green",shape="box"];983[label="primPlusNat yu480 yu4000100",fontsize=16,color="burlywood",shape="triangle"];1262[label="yu480/Succ yu4800",fontsize=10,color="white",style="solid",shape="box"];983 -> 1262[label="",style="solid", color="burlywood", weight=9]; 1262 -> 984[label="",style="solid", color="burlywood", weight=3]; 1263[label="yu480/Zero",fontsize=10,color="white",style="solid",shape="box"];983 -> 1263[label="",style="solid", color="burlywood", weight=9]; 1263 -> 985[label="",style="solid", color="burlywood", weight=3]; 984[label="primPlusNat (Succ yu4800) yu4000100",fontsize=16,color="burlywood",shape="box"];1264[label="yu4000100/Succ yu40001000",fontsize=10,color="white",style="solid",shape="box"];984 -> 1264[label="",style="solid", color="burlywood", weight=9]; 1264 -> 986[label="",style="solid", color="burlywood", weight=3]; 1265[label="yu4000100/Zero",fontsize=10,color="white",style="solid",shape="box"];984 -> 1265[label="",style="solid", color="burlywood", weight=9]; 1265 -> 987[label="",style="solid", color="burlywood", weight=3]; 985[label="primPlusNat Zero yu4000100",fontsize=16,color="burlywood",shape="box"];1266[label="yu4000100/Succ yu40001000",fontsize=10,color="white",style="solid",shape="box"];985 -> 1266[label="",style="solid", color="burlywood", weight=9]; 1266 -> 988[label="",style="solid", color="burlywood", weight=3]; 1267[label="yu4000100/Zero",fontsize=10,color="white",style="solid",shape="box"];985 -> 1267[label="",style="solid", color="burlywood", weight=9]; 1267 -> 989[label="",style="solid", color="burlywood", weight=3]; 986[label="primPlusNat (Succ yu4800) (Succ yu40001000)",fontsize=16,color="black",shape="box"];986 -> 990[label="",style="solid", color="black", weight=3]; 987[label="primPlusNat (Succ yu4800) Zero",fontsize=16,color="black",shape="box"];987 -> 991[label="",style="solid", color="black", weight=3]; 988[label="primPlusNat Zero (Succ yu40001000)",fontsize=16,color="black",shape="box"];988 -> 992[label="",style="solid", color="black", weight=3]; 989[label="primPlusNat Zero Zero",fontsize=16,color="black",shape="box"];989 -> 993[label="",style="solid", color="black", weight=3]; 990[label="Succ (Succ (primPlusNat yu4800 yu40001000))",fontsize=16,color="green",shape="box"];990 -> 994[label="",style="dashed", color="green", weight=3]; 991[label="Succ yu4800",fontsize=16,color="green",shape="box"];992[label="Succ yu40001000",fontsize=16,color="green",shape="box"];993[label="Zero",fontsize=16,color="green",shape="box"];994 -> 983[label="",style="dashed", color="red", weight=0]; 994[label="primPlusNat yu4800 yu40001000",fontsize=16,color="magenta"];994 -> 995[label="",style="dashed", color="magenta", weight=3]; 994 -> 996[label="",style="dashed", color="magenta", weight=3]; 995[label="yu40001000",fontsize=16,color="green",shape="box"];996[label="yu4800",fontsize=16,color="green",shape="box"];} ---------------------------------------- (6) Complex Obligation (AND) ---------------------------------------- (7) Obligation: Q DP problem: The TRS P consists of the following rules: new_lookup1(yu28, yu29, yu30, yu31, yu32, yu33, False, h, ba, bb) -> new_lookup(@2(yu28, yu29), yu33, h, ba, bb) new_lookup(@2(yu30, yu31), :(@2(@2(yu4000, yu4001), yu401), yu41), bc, bd, be) -> new_lookup1(yu30, yu31, yu4000, yu4001, yu401, yu41, new_asAs(new_esEs4(yu30, yu4000, bd), new_esEs5(yu31, yu4001, be)), bc, bd, be) The TRS R consists of the following rules: new_esEs8(yu301, yu40001, app(app(ty_@2, ed), ee)) -> new_esEs22(yu301, yu40001, ed, ee) new_esEs19(Just(yu300), Just(yu40000), app(app(app(ty_@3, bba), bbb), bbc)) -> new_esEs6(yu300, yu40000, bba, bbb, bbc) new_esEs14(Left(yu300), Left(yu40000), app(app(ty_Either, bcg), bch), bcb) -> new_esEs14(yu300, yu40000, bcg, bch) new_primEqInt(Pos(Zero), Pos(Zero)) -> True new_esEs24(yu301, yu40001, ty_Int) -> new_esEs21(yu301, yu40001) new_esEs25(yu300, yu40000, app(app(app(ty_@3, bfb), bfc), bfd)) -> new_esEs6(yu300, yu40000, bfb, bfc, bfd) new_esEs7(yu300, yu40000, app(app(ty_Either, ce), cf)) -> new_esEs14(yu300, yu40000, ce, cf) new_esEs4(yu30, yu4000, ty_Float) -> new_esEs11(yu30, yu4000) new_esEs8(yu301, yu40001, ty_Double) -> new_esEs15(yu301, yu40001) new_esEs24(yu301, yu40001, app(ty_Maybe, bad)) -> new_esEs19(yu301, yu40001, bad) new_esEs9(yu302, yu40002, ty_Ordering) -> new_esEs10(yu302, yu40002) new_esEs9(yu302, yu40002, app(ty_[], fd)) -> new_esEs18(yu302, yu40002, fd) new_esEs19(Nothing, Just(yu40000), bag) -> False new_esEs19(Just(yu300), Nothing, bag) -> False new_esEs19(Nothing, Nothing, bag) -> True new_esEs25(yu300, yu40000, ty_Float) -> new_esEs11(yu300, yu40000) new_esEs5(yu31, yu4001, ty_Int) -> new_esEs21(yu31, yu4001) new_esEs7(yu300, yu40000, ty_Char) -> new_esEs20(yu300, yu40000) new_esEs14(Left(yu300), Left(yu40000), ty_Double, bcb) -> new_esEs15(yu300, yu40000) new_esEs14(Right(yu300), Right(yu40000), bde, ty_Bool) -> new_esEs17(yu300, yu40000) new_esEs20(Char(yu300), Char(yu40000)) -> new_primEqNat0(yu300, yu40000) new_esEs5(yu31, yu4001, app(ty_Ratio, bgc)) -> new_esEs12(yu31, yu4001, bgc) new_esEs14(Right(yu300), Right(yu40000), bde, app(app(ty_@2, bef), beg)) -> new_esEs22(yu300, yu40000, bef, beg) new_esEs9(yu302, yu40002, ty_Integer) -> new_esEs13(yu302, yu40002) new_esEs26(yu300, yu40000, ty_Int) -> new_esEs21(yu300, yu40000) new_esEs5(yu31, yu4001, ty_Char) -> new_esEs20(yu31, yu4001) new_esEs25(yu300, yu40000, app(app(ty_@2, bga), bgb)) -> new_esEs22(yu300, yu40000, bga, bgb) new_esEs21(yu30, yu4000) -> new_primEqInt(yu30, yu4000) new_asAs(True, yu47) -> yu47 new_esEs8(yu301, yu40001, app(app(app(ty_@3, de), df), dg)) -> new_esEs6(yu301, yu40001, de, df, dg) new_esEs5(yu31, yu4001, app(app(ty_Either, bgg), bgh)) -> new_esEs14(yu31, yu4001, bgg, bgh) new_esEs7(yu300, yu40000, ty_Int) -> new_esEs21(yu300, yu40000) new_esEs17(False, True) -> False new_esEs17(True, False) -> False new_primEqInt(Pos(Succ(yu3000)), Pos(Zero)) -> False new_primEqInt(Pos(Zero), Pos(Succ(yu400000))) -> False new_esEs4(yu30, yu4000, ty_Double) -> new_esEs15(yu30, yu4000) new_esEs25(yu300, yu40000, ty_Double) -> new_esEs15(yu300, yu40000) new_esEs23(yu300, yu40000, ty_Integer) -> new_esEs13(yu300, yu40000) new_esEs4(yu30, yu4000, ty_Integer) -> new_esEs13(yu30, yu4000) new_esEs23(yu300, yu40000, ty_@0) -> new_esEs16(yu300, yu40000) new_esEs16(@0, @0) -> True new_esEs6(@3(yu300, yu301, yu302), @3(yu40000, yu40001, yu40002), bf, bg, bh) -> new_asAs(new_esEs7(yu300, yu40000, bf), new_asAs(new_esEs8(yu301, yu40001, bg), new_esEs9(yu302, yu40002, bh))) new_esEs7(yu300, yu40000, app(ty_[], cg)) -> new_esEs18(yu300, yu40000, cg) new_esEs8(yu301, yu40001, ty_@0) -> new_esEs16(yu301, yu40001) new_esEs24(yu301, yu40001, app(ty_Ratio, he)) -> new_esEs12(yu301, yu40001, he) new_primEqNat0(Succ(yu3000), Succ(yu400000)) -> new_primEqNat0(yu3000, yu400000) new_esEs19(Just(yu300), Just(yu40000), ty_@0) -> new_esEs16(yu300, yu40000) new_esEs10(GT, GT) -> True new_esEs18([], [], beh) -> True new_esEs14(Left(yu300), Left(yu40000), ty_@0, bcb) -> new_esEs16(yu300, yu40000) new_esEs7(yu300, yu40000, ty_Integer) -> new_esEs13(yu300, yu40000) new_esEs23(yu300, yu40000, app(app(ty_@2, hc), hd)) -> new_esEs22(yu300, yu40000, hc, hd) new_esEs7(yu300, yu40000, ty_Bool) -> new_esEs17(yu300, yu40000) new_esEs9(yu302, yu40002, ty_Int) -> new_esEs21(yu302, yu40002) new_primMulNat0(Zero, Zero) -> Zero new_esEs9(yu302, yu40002, app(ty_Maybe, ff)) -> new_esEs19(yu302, yu40002, ff) new_esEs14(Left(yu300), Left(yu40000), ty_Int, bcb) -> new_esEs21(yu300, yu40000) new_esEs14(Left(yu300), Left(yu40000), ty_Float, bcb) -> new_esEs11(yu300, yu40000) new_esEs14(Left(yu300), Left(yu40000), app(ty_[], bda), bcb) -> new_esEs18(yu300, yu40000, bda) new_esEs25(yu300, yu40000, ty_Ordering) -> new_esEs10(yu300, yu40000) new_esEs14(Right(yu300), Right(yu40000), bde, app(app(app(ty_@3, bdg), bdh), bea)) -> new_esEs6(yu300, yu40000, bdg, bdh, bea) new_esEs25(yu300, yu40000, ty_Integer) -> new_esEs13(yu300, yu40000) new_esEs14(Left(yu300), Left(yu40000), app(app(app(ty_@3, bcd), bce), bcf), bcb) -> new_esEs6(yu300, yu40000, bcd, bce, bcf) new_esEs19(Just(yu300), Just(yu40000), ty_Integer) -> new_esEs13(yu300, yu40000) new_esEs4(yu30, yu4000, app(ty_[], beh)) -> new_esEs18(yu30, yu4000, beh) new_esEs15(Double(yu300, yu301), Double(yu40000, yu40001)) -> new_esEs21(new_sr(yu300, yu40001), new_sr(yu301, yu40000)) new_esEs24(yu301, yu40001, ty_Char) -> new_esEs20(yu301, yu40001) new_esEs24(yu301, yu40001, app(app(ty_@2, bae), baf)) -> new_esEs22(yu301, yu40001, bae, baf) new_primEqNat0(Succ(yu3000), Zero) -> False new_primEqNat0(Zero, Succ(yu400000)) -> False new_esEs8(yu301, yu40001, ty_Float) -> new_esEs11(yu301, yu40001) new_esEs24(yu301, yu40001, app(app(ty_Either, baa), bab)) -> new_esEs14(yu301, yu40001, baa, bab) new_esEs14(Right(yu300), Right(yu40000), bde, ty_@0) -> new_esEs16(yu300, yu40000) new_esEs8(yu301, yu40001, ty_Int) -> new_esEs21(yu301, yu40001) new_esEs4(yu30, yu4000, app(app(ty_@2, ga), gb)) -> new_esEs22(yu30, yu4000, ga, gb) new_esEs14(Right(yu300), Right(yu40000), bde, ty_Float) -> new_esEs11(yu300, yu40000) new_esEs5(yu31, yu4001, ty_Integer) -> new_esEs13(yu31, yu4001) new_esEs9(yu302, yu40002, app(ty_Ratio, ef)) -> new_esEs12(yu302, yu40002, ef) new_esEs10(EQ, EQ) -> True new_esEs9(yu302, yu40002, ty_@0) -> new_esEs16(yu302, yu40002) new_esEs14(Left(yu300), Left(yu40000), ty_Bool, bcb) -> new_esEs17(yu300, yu40000) new_esEs25(yu300, yu40000, ty_Char) -> new_esEs20(yu300, yu40000) new_esEs14(Right(yu300), Right(yu40000), bde, ty_Int) -> new_esEs21(yu300, yu40000) new_esEs7(yu300, yu40000, ty_Float) -> new_esEs11(yu300, yu40000) new_esEs19(Just(yu300), Just(yu40000), app(app(ty_@2, bbh), bca)) -> new_esEs22(yu300, yu40000, bbh, bca) new_esEs25(yu300, yu40000, app(app(ty_Either, bfe), bff)) -> new_esEs14(yu300, yu40000, bfe, bff) new_esEs5(yu31, yu4001, app(app(ty_@2, bhc), bhd)) -> new_esEs22(yu31, yu4001, bhc, bhd) new_primEqInt(Neg(Succ(yu3000)), Neg(Zero)) -> False new_primEqInt(Neg(Zero), Neg(Succ(yu400000))) -> False new_primEqInt(Pos(Succ(yu3000)), Pos(Succ(yu400000))) -> new_primEqNat0(yu3000, yu400000) new_esEs4(yu30, yu4000, ty_@0) -> new_esEs16(yu30, yu4000) new_esEs8(yu301, yu40001, ty_Bool) -> new_esEs17(yu301, yu40001) new_esEs5(yu31, yu4001, app(ty_Maybe, bhb)) -> new_esEs19(yu31, yu4001, bhb) new_esEs14(Right(yu300), Right(yu40000), bde, ty_Double) -> new_esEs15(yu300, yu40000) new_sr(Pos(yu3000), Neg(yu400010)) -> Neg(new_primMulNat0(yu3000, yu400010)) new_sr(Neg(yu3000), Pos(yu400010)) -> Neg(new_primMulNat0(yu3000, yu400010)) new_esEs4(yu30, yu4000, app(ty_Ratio, bhe)) -> new_esEs12(yu30, yu4000, bhe) new_primPlusNat1(Succ(yu4800), Succ(yu40001000)) -> Succ(Succ(new_primPlusNat1(yu4800, yu40001000))) new_esEs27(yu301, yu40001, ty_Int) -> new_esEs21(yu301, yu40001) new_esEs7(yu300, yu40000, ty_Ordering) -> new_esEs10(yu300, yu40000) new_esEs7(yu300, yu40000, app(app(app(ty_@3, cb), cc), cd)) -> new_esEs6(yu300, yu40000, cb, cc, cd) new_primEqInt(Pos(Succ(yu3000)), Neg(yu40000)) -> False new_primEqInt(Neg(Succ(yu3000)), Pos(yu40000)) -> False new_esEs10(LT, EQ) -> False new_esEs10(EQ, LT) -> False new_esEs23(yu300, yu40000, app(ty_Maybe, hb)) -> new_esEs19(yu300, yu40000, hb) new_esEs24(yu301, yu40001, ty_Integer) -> new_esEs13(yu301, yu40001) new_esEs11(Float(yu300, yu301), Float(yu40000, yu40001)) -> new_esEs21(new_sr(yu300, yu40001), new_sr(yu301, yu40000)) new_esEs4(yu30, yu4000, ty_Int) -> new_esEs21(yu30, yu4000) new_esEs8(yu301, yu40001, app(ty_[], eb)) -> new_esEs18(yu301, yu40001, eb) new_esEs4(yu30, yu4000, app(ty_Maybe, bag)) -> new_esEs19(yu30, yu4000, bag) new_esEs17(True, True) -> True new_esEs23(yu300, yu40000, app(ty_Ratio, gc)) -> new_esEs12(yu300, yu40000, gc) new_esEs10(LT, GT) -> False new_esEs10(GT, LT) -> False new_esEs24(yu301, yu40001, ty_Float) -> new_esEs11(yu301, yu40001) new_esEs14(Right(yu300), Right(yu40000), bde, ty_Ordering) -> new_esEs10(yu300, yu40000) new_esEs8(yu301, yu40001, ty_Char) -> new_esEs20(yu301, yu40001) new_sr(Neg(yu3000), Neg(yu400010)) -> Pos(new_primMulNat0(yu3000, yu400010)) new_esEs14(Right(yu300), Right(yu40000), bde, app(ty_Maybe, bee)) -> new_esEs19(yu300, yu40000, bee) new_esEs23(yu300, yu40000, ty_Bool) -> new_esEs17(yu300, yu40000) new_esEs25(yu300, yu40000, app(ty_Maybe, bfh)) -> new_esEs19(yu300, yu40000, bfh) new_esEs14(Left(yu300), Left(yu40000), ty_Ordering, bcb) -> new_esEs10(yu300, yu40000) new_esEs7(yu300, yu40000, app(app(ty_@2, db), dc)) -> new_esEs22(yu300, yu40000, db, dc) new_esEs5(yu31, yu4001, app(app(app(ty_@3, bgd), bge), bgf)) -> new_esEs6(yu31, yu4001, bgd, bge, bgf) new_esEs25(yu300, yu40000, ty_Int) -> new_esEs21(yu300, yu40000) new_esEs19(Just(yu300), Just(yu40000), app(ty_Maybe, bbg)) -> new_esEs19(yu300, yu40000, bbg) new_primEqInt(Pos(Zero), Neg(Succ(yu400000))) -> False new_primEqInt(Neg(Zero), Pos(Succ(yu400000))) -> False new_esEs14(Left(yu300), Left(yu40000), app(ty_Ratio, bcc), bcb) -> new_esEs12(yu300, yu40000, bcc) new_esEs19(Just(yu300), Just(yu40000), ty_Int) -> new_esEs21(yu300, yu40000) new_esEs14(Left(yu300), Left(yu40000), ty_Integer, bcb) -> new_esEs13(yu300, yu40000) new_esEs7(yu300, yu40000, ty_@0) -> new_esEs16(yu300, yu40000) new_esEs9(yu302, yu40002, ty_Double) -> new_esEs15(yu302, yu40002) new_esEs24(yu301, yu40001, ty_@0) -> new_esEs16(yu301, yu40001) new_esEs9(yu302, yu40002, ty_Bool) -> new_esEs17(yu302, yu40002) new_esEs5(yu31, yu4001, ty_Double) -> new_esEs15(yu31, yu4001) new_esEs8(yu301, yu40001, ty_Ordering) -> new_esEs10(yu301, yu40001) new_primEqInt(Neg(Succ(yu3000)), Neg(Succ(yu400000))) -> new_primEqNat0(yu3000, yu400000) new_esEs14(Right(yu300), Right(yu40000), bde, app(app(ty_Either, beb), bec)) -> new_esEs14(yu300, yu40000, beb, bec) new_primPlusNat0(Succ(yu480), yu4000100) -> Succ(Succ(new_primPlusNat1(yu480, yu4000100))) new_esEs4(yu30, yu4000, ty_Bool) -> new_esEs17(yu30, yu4000) new_esEs19(Just(yu300), Just(yu40000), app(ty_Ratio, bah)) -> new_esEs12(yu300, yu40000, bah) new_esEs25(yu300, yu40000, app(ty_[], bfg)) -> new_esEs18(yu300, yu40000, bfg) new_esEs19(Just(yu300), Just(yu40000), ty_Char) -> new_esEs20(yu300, yu40000) new_esEs24(yu301, yu40001, ty_Ordering) -> new_esEs10(yu301, yu40001) new_esEs25(yu300, yu40000, ty_Bool) -> new_esEs17(yu300, yu40000) new_esEs14(Left(yu300), Left(yu40000), ty_Char, bcb) -> new_esEs20(yu300, yu40000) new_esEs24(yu301, yu40001, app(app(app(ty_@3, hf), hg), hh)) -> new_esEs6(yu301, yu40001, hf, hg, hh) new_primPlusNat1(Zero, Zero) -> Zero new_esEs9(yu302, yu40002, app(app(ty_@2, fg), fh)) -> new_esEs22(yu302, yu40002, fg, fh) new_primMulNat0(Succ(yu30000), Zero) -> Zero new_primMulNat0(Zero, Succ(yu4000100)) -> Zero new_esEs23(yu300, yu40000, ty_Int) -> new_esEs21(yu300, yu40000) new_sr(Pos(yu3000), Pos(yu400010)) -> Pos(new_primMulNat0(yu3000, yu400010)) new_primPlusNat0(Zero, yu4000100) -> Succ(yu4000100) new_esEs18(:(yu300, yu301), :(yu40000, yu40001), beh) -> new_asAs(new_esEs25(yu300, yu40000, beh), new_esEs18(yu301, yu40001, beh)) new_esEs5(yu31, yu4001, ty_@0) -> new_esEs16(yu31, yu4001) new_esEs8(yu301, yu40001, app(app(ty_Either, dh), ea)) -> new_esEs14(yu301, yu40001, dh, ea) new_esEs19(Just(yu300), Just(yu40000), app(app(ty_Either, bbd), bbe)) -> new_esEs14(yu300, yu40000, bbd, bbe) new_esEs7(yu300, yu40000, ty_Double) -> new_esEs15(yu300, yu40000) new_esEs18(:(yu300, yu301), [], beh) -> False new_esEs18([], :(yu40000, yu40001), beh) -> False new_esEs14(Right(yu300), Right(yu40000), bde, app(ty_[], bed)) -> new_esEs18(yu300, yu40000, bed) new_esEs9(yu302, yu40002, ty_Float) -> new_esEs11(yu302, yu40002) new_esEs10(EQ, GT) -> False new_esEs10(GT, EQ) -> False new_esEs22(@2(yu300, yu301), @2(yu40000, yu40001), ga, gb) -> new_asAs(new_esEs23(yu300, yu40000, ga), new_esEs24(yu301, yu40001, gb)) new_esEs13(Integer(yu300), Integer(yu40000)) -> new_primEqInt(yu300, yu40000) new_esEs19(Just(yu300), Just(yu40000), ty_Ordering) -> new_esEs10(yu300, yu40000) new_primEqInt(Neg(Zero), Neg(Zero)) -> True new_esEs23(yu300, yu40000, ty_Char) -> new_esEs20(yu300, yu40000) new_esEs17(False, False) -> True new_esEs5(yu31, yu4001, ty_Ordering) -> new_esEs10(yu31, yu4001) new_primMulNat0(Succ(yu30000), Succ(yu4000100)) -> new_primPlusNat0(new_primMulNat0(yu30000, Succ(yu4000100)), yu4000100) new_esEs23(yu300, yu40000, app(app(ty_Either, gg), gh)) -> new_esEs14(yu300, yu40000, gg, gh) new_esEs8(yu301, yu40001, app(ty_Ratio, dd)) -> new_esEs12(yu301, yu40001, dd) new_esEs23(yu300, yu40000, ty_Double) -> new_esEs15(yu300, yu40000) new_esEs23(yu300, yu40000, app(ty_[], ha)) -> new_esEs18(yu300, yu40000, ha) new_esEs4(yu30, yu4000, ty_Char) -> new_esEs20(yu30, yu4000) new_primPlusNat1(Succ(yu4800), Zero) -> Succ(yu4800) new_primPlusNat1(Zero, Succ(yu40001000)) -> Succ(yu40001000) new_esEs4(yu30, yu4000, ty_Ordering) -> new_esEs10(yu30, yu4000) new_esEs9(yu302, yu40002, app(app(app(ty_@3, eg), eh), fa)) -> new_esEs6(yu302, yu40002, eg, eh, fa) new_esEs12(:%(yu300, yu301), :%(yu40000, yu40001), bhe) -> new_asAs(new_esEs26(yu300, yu40000, bhe), new_esEs27(yu301, yu40001, bhe)) new_esEs8(yu301, yu40001, app(ty_Maybe, ec)) -> new_esEs19(yu301, yu40001, ec) new_primEqInt(Pos(Zero), Neg(Zero)) -> True new_primEqInt(Neg(Zero), Pos(Zero)) -> True new_esEs14(Right(yu300), Right(yu40000), bde, ty_Char) -> new_esEs20(yu300, yu40000) new_esEs5(yu31, yu4001, app(ty_[], bha)) -> new_esEs18(yu31, yu4001, bha) new_esEs26(yu300, yu40000, ty_Integer) -> new_esEs13(yu300, yu40000) new_esEs19(Just(yu300), Just(yu40000), app(ty_[], bbf)) -> new_esEs18(yu300, yu40000, bbf) new_esEs25(yu300, yu40000, app(ty_Ratio, bfa)) -> new_esEs12(yu300, yu40000, bfa) new_esEs23(yu300, yu40000, app(app(app(ty_@3, gd), ge), gf)) -> new_esEs6(yu300, yu40000, gd, ge, gf) new_primEqNat0(Zero, Zero) -> True new_esEs24(yu301, yu40001, ty_Bool) -> new_esEs17(yu301, yu40001) new_esEs23(yu300, yu40000, ty_Ordering) -> new_esEs10(yu300, yu40000) new_esEs19(Just(yu300), Just(yu40000), ty_Double) -> new_esEs15(yu300, yu40000) new_esEs7(yu300, yu40000, app(ty_Maybe, da)) -> new_esEs19(yu300, yu40000, da) new_esEs19(Just(yu300), Just(yu40000), ty_Float) -> new_esEs11(yu300, yu40000) new_esEs8(yu301, yu40001, ty_Integer) -> new_esEs13(yu301, yu40001) new_asAs(False, yu47) -> False new_esEs27(yu301, yu40001, ty_Integer) -> new_esEs13(yu301, yu40001) new_esEs4(yu30, yu4000, app(app(ty_Either, bde), bcb)) -> new_esEs14(yu30, yu4000, bde, bcb) new_esEs14(Right(yu300), Right(yu40000), bde, app(ty_Ratio, bdf)) -> new_esEs12(yu300, yu40000, bdf) new_esEs25(yu300, yu40000, ty_@0) -> new_esEs16(yu300, yu40000) new_esEs14(Left(yu300), Right(yu40000), bde, bcb) -> False new_esEs14(Right(yu300), Left(yu40000), bde, bcb) -> False new_esEs23(yu300, yu40000, ty_Float) -> new_esEs11(yu300, yu40000) new_esEs9(yu302, yu40002, app(app(ty_Either, fb), fc)) -> new_esEs14(yu302, yu40002, fb, fc) new_esEs10(LT, LT) -> True new_esEs19(Just(yu300), Just(yu40000), ty_Bool) -> new_esEs17(yu300, yu40000) new_esEs14(Left(yu300), Left(yu40000), app(app(ty_@2, bdc), bdd), bcb) -> new_esEs22(yu300, yu40000, bdc, bdd) new_esEs5(yu31, yu4001, ty_Float) -> new_esEs11(yu31, yu4001) new_esEs4(yu30, yu4000, app(app(app(ty_@3, bf), bg), bh)) -> new_esEs6(yu30, yu4000, bf, bg, bh) new_esEs24(yu301, yu40001, ty_Double) -> new_esEs15(yu301, yu40001) new_esEs7(yu300, yu40000, app(ty_Ratio, ca)) -> new_esEs12(yu300, yu40000, ca) new_esEs14(Left(yu300), Left(yu40000), app(ty_Maybe, bdb), bcb) -> new_esEs19(yu300, yu40000, bdb) new_esEs5(yu31, yu4001, ty_Bool) -> new_esEs17(yu31, yu4001) new_esEs9(yu302, yu40002, ty_Char) -> new_esEs20(yu302, yu40002) new_esEs14(Right(yu300), Right(yu40000), bde, ty_Integer) -> new_esEs13(yu300, yu40000) new_esEs24(yu301, yu40001, app(ty_[], bac)) -> new_esEs18(yu301, yu40001, bac) The set Q consists of the following terms: new_esEs5(x0, x1, app(app(ty_Either, x2), x3)) new_esEs26(x0, x1, ty_Integer) new_esEs7(x0, x1, ty_@0) new_esEs25(x0, x1, app(ty_Maybe, x2)) new_esEs5(x0, x1, ty_Int) new_esEs14(Left(x0), Left(x1), app(app(ty_Either, x2), x3), x4) new_esEs25(x0, x1, ty_Integer) new_esEs19(Nothing, Just(x0), x1) new_esEs23(x0, x1, ty_Integer) new_primMulNat0(Zero, Zero) new_esEs14(Left(x0), Left(x1), app(ty_Ratio, x2), x3) new_primPlusNat1(Zero, Zero) new_primEqInt(Pos(Succ(x0)), Pos(Zero)) new_esEs6(@3(x0, x1, x2), @3(x3, x4, x5), x6, x7, x8) new_esEs14(Left(x0), Left(x1), app(ty_[], x2), x3) new_esEs18(:(x0, x1), :(x2, x3), x4) new_esEs24(x0, x1, ty_Double) new_esEs4(x0, x1, ty_Ordering) new_esEs4(x0, x1, app(ty_Maybe, x2)) new_esEs4(x0, x1, app(app(ty_Either, x2), x3)) new_esEs5(x0, x1, ty_Ordering) new_esEs8(x0, x1, app(ty_Ratio, x2)) new_esEs10(EQ, EQ) new_esEs17(True, True) new_esEs19(Just(x0), Just(x1), ty_Integer) new_esEs24(x0, x1, ty_Float) new_primEqInt(Pos(Zero), Pos(Zero)) new_esEs14(Right(x0), Right(x1), x2, ty_Float) new_esEs23(x0, x1, app(ty_Maybe, x2)) new_esEs7(x0, x1, app(ty_Ratio, x2)) new_esEs8(x0, x1, ty_Bool) new_esEs5(x0, x1, ty_Float) new_esEs17(False, False) new_esEs14(Right(x0), Right(x1), x2, ty_Integer) new_esEs4(x0, x1, ty_Float) new_asAs(False, x0) new_esEs25(x0, x1, ty_Bool) new_esEs7(x0, x1, ty_Bool) new_primEqInt(Neg(Zero), Neg(Zero)) new_esEs24(x0, x1, ty_Ordering) new_esEs14(Left(x0), Left(x1), ty_Integer, x2) new_esEs9(x0, x1, ty_Double) new_esEs19(Just(x0), Just(x1), app(ty_Ratio, x2)) new_esEs9(x0, x1, app(ty_Ratio, x2)) new_esEs10(LT, LT) new_esEs23(x0, x1, ty_Double) new_esEs9(x0, x1, ty_Bool) new_esEs19(Just(x0), Just(x1), app(app(app(ty_@3, x2), x3), x4)) new_esEs18([], [], x0) new_esEs25(x0, x1, ty_@0) new_esEs5(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs9(x0, x1, app(ty_[], x2)) new_esEs14(Left(x0), Left(x1), ty_Double, x2) new_esEs23(x0, x1, ty_Bool) new_esEs14(Left(x0), Left(x1), ty_@0, x2) new_esEs14(Right(x0), Right(x1), x2, app(app(ty_@2, x3), x4)) new_esEs14(Right(x0), Right(x1), x2, ty_Ordering) new_esEs25(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs25(x0, x1, ty_Double) new_esEs14(Right(x0), Right(x1), x2, app(app(ty_Either, x3), x4)) new_esEs8(x0, x1, ty_@0) new_esEs25(x0, x1, app(ty_Ratio, x2)) new_esEs9(x0, x1, ty_Ordering) new_esEs5(x0, x1, ty_@0) new_esEs19(Just(x0), Just(x1), ty_Ordering) new_primEqInt(Pos(Succ(x0)), Neg(x1)) new_primEqInt(Neg(Succ(x0)), Pos(x1)) new_esEs23(x0, x1, app(app(ty_@2, x2), x3)) new_esEs14(Left(x0), Left(x1), app(app(app(ty_@3, x2), x3), x4), x5) new_primEqInt(Pos(Zero), Neg(Zero)) new_primEqInt(Neg(Zero), Pos(Zero)) new_esEs5(x0, x1, ty_Char) new_esEs17(False, True) new_esEs17(True, False) new_esEs8(x0, x1, ty_Float) new_esEs18([], :(x0, x1), x2) new_esEs19(Nothing, Nothing, x0) new_esEs9(x0, x1, ty_Integer) new_esEs5(x0, x1, ty_Bool) new_esEs7(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_sr(Pos(x0), Neg(x1)) new_sr(Neg(x0), Pos(x1)) new_esEs19(Just(x0), Just(x1), app(ty_[], x2)) new_esEs25(x0, x1, ty_Float) new_esEs24(x0, x1, app(ty_Ratio, x2)) new_primPlusNat1(Succ(x0), Succ(x1)) new_asAs(True, x0) new_primEqInt(Neg(Succ(x0)), Neg(Zero)) new_primMulNat0(Succ(x0), Zero) new_esEs7(x0, x1, ty_Integer) new_esEs14(Left(x0), Left(x1), ty_Bool, x2) new_esEs5(x0, x1, ty_Double) new_primEqInt(Pos(Zero), Neg(Succ(x0))) new_primEqInt(Neg(Zero), Pos(Succ(x0))) new_esEs15(Double(x0, x1), Double(x2, x3)) new_esEs4(x0, x1, ty_@0) new_esEs10(GT, GT) new_esEs20(Char(x0), Char(x1)) new_esEs23(x0, x1, app(ty_Ratio, x2)) new_esEs14(Left(x0), Left(x1), ty_Char, x2) new_esEs24(x0, x1, app(ty_[], x2)) new_esEs8(x0, x1, app(app(ty_Either, x2), x3)) new_esEs14(Right(x0), Right(x1), x2, app(ty_Maybe, x3)) new_esEs8(x0, x1, app(app(ty_@2, x2), x3)) new_esEs23(x0, x1, ty_Char) new_esEs7(x0, x1, ty_Double) new_esEs9(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs8(x0, x1, app(ty_Maybe, x2)) new_esEs25(x0, x1, ty_Int) new_esEs4(x0, x1, ty_Bool) new_esEs10(LT, EQ) new_esEs10(EQ, LT) new_esEs14(Left(x0), Left(x1), ty_Int, x2) new_esEs7(x0, x1, ty_Ordering) new_primMulNat0(Succ(x0), Succ(x1)) new_esEs8(x0, x1, ty_Ordering) new_esEs22(@2(x0, x1), @2(x2, x3), x4, x5) new_esEs4(x0, x1, app(ty_Ratio, x2)) new_esEs14(Left(x0), Right(x1), x2, x3) new_esEs14(Right(x0), Left(x1), x2, x3) new_primEqNat0(Succ(x0), Succ(x1)) new_primEqInt(Pos(Succ(x0)), Pos(Succ(x1))) new_esEs25(x0, x1, ty_Char) new_primPlusNat0(Succ(x0), x1) new_esEs8(x0, x1, ty_Int) new_primEqNat0(Succ(x0), Zero) new_primEqInt(Pos(Zero), Pos(Succ(x0))) new_esEs5(x0, x1, app(app(ty_@2, x2), x3)) new_esEs14(Right(x0), Right(x1), x2, ty_@0) new_esEs14(Right(x0), Right(x1), x2, app(app(app(ty_@3, x3), x4), x5)) new_esEs8(x0, x1, ty_Double) new_esEs9(x0, x1, ty_Int) new_esEs24(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs14(Left(x0), Left(x1), ty_Ordering, x2) new_esEs8(x0, x1, ty_Char) new_esEs7(x0, x1, app(ty_Maybe, x2)) new_esEs5(x0, x1, ty_Integer) new_esEs7(x0, x1, app(app(ty_Either, x2), x3)) new_esEs14(Left(x0), Left(x1), ty_Float, x2) new_esEs27(x0, x1, ty_Int) new_primEqNat0(Zero, Succ(x0)) new_esEs9(x0, x1, ty_Char) new_esEs24(x0, x1, app(app(ty_Either, x2), x3)) new_esEs18(:(x0, x1), [], x2) new_esEs4(x0, x1, ty_Integer) new_esEs23(x0, x1, ty_Ordering) new_esEs26(x0, x1, ty_Int) new_esEs8(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs23(x0, x1, ty_Int) new_esEs9(x0, x1, app(ty_Maybe, x2)) new_esEs5(x0, x1, app(ty_Maybe, x2)) new_esEs24(x0, x1, ty_@0) new_primEqInt(Neg(Succ(x0)), Neg(Succ(x1))) new_primMulNat0(Zero, Succ(x0)) new_sr(Pos(x0), Pos(x1)) new_esEs24(x0, x1, ty_Int) new_primEqNat0(Zero, Zero) new_esEs14(Left(x0), Left(x1), app(ty_Maybe, x2), x3) new_esEs9(x0, x1, ty_Float) new_esEs4(x0, x1, app(ty_[], x2)) new_esEs14(Right(x0), Right(x1), x2, app(ty_[], x3)) new_esEs23(x0, x1, ty_Float) new_esEs4(x0, x1, ty_Char) new_esEs23(x0, x1, ty_@0) new_esEs25(x0, x1, app(ty_[], x2)) new_esEs24(x0, x1, ty_Integer) new_esEs8(x0, x1, app(ty_[], x2)) new_esEs19(Just(x0), Just(x1), ty_Float) new_esEs21(x0, x1) new_esEs19(Just(x0), Just(x1), ty_Bool) new_esEs23(x0, x1, app(app(ty_Either, x2), x3)) new_esEs4(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs11(Float(x0, x1), Float(x2, x3)) new_esEs7(x0, x1, ty_Char) new_esEs19(Just(x0), Just(x1), app(app(ty_@2, x2), x3)) new_esEs5(x0, x1, app(ty_[], x2)) new_esEs25(x0, x1, app(app(ty_@2, x2), x3)) new_esEs9(x0, x1, ty_@0) new_sr(Neg(x0), Neg(x1)) new_esEs4(x0, x1, ty_Int) new_esEs10(LT, GT) new_esEs10(GT, LT) new_esEs24(x0, x1, ty_Char) new_esEs24(x0, x1, app(ty_Maybe, x2)) new_esEs19(Just(x0), Nothing, x1) new_esEs14(Right(x0), Right(x1), x2, ty_Int) new_esEs19(Just(x0), Just(x1), app(app(ty_Either, x2), x3)) new_esEs4(x0, x1, app(app(ty_@2, x2), x3)) new_esEs7(x0, x1, ty_Int) new_esEs27(x0, x1, ty_Integer) new_esEs19(Just(x0), Just(x1), ty_@0) new_esEs7(x0, x1, app(ty_[], x2)) new_esEs14(Right(x0), Right(x1), x2, ty_Char) new_esEs9(x0, x1, app(app(ty_@2, x2), x3)) new_esEs14(Right(x0), Right(x1), x2, app(ty_Ratio, x3)) new_esEs14(Left(x0), Left(x1), app(app(ty_@2, x2), x3), x4) new_esEs14(Right(x0), Right(x1), x2, ty_Double) new_esEs23(x0, x1, app(ty_[], x2)) new_esEs19(Just(x0), Just(x1), ty_Int) new_esEs14(Right(x0), Right(x1), x2, ty_Bool) new_esEs19(Just(x0), Just(x1), app(ty_Maybe, x2)) new_esEs7(x0, x1, app(app(ty_@2, x2), x3)) new_esEs12(:%(x0, x1), :%(x2, x3), x4) new_esEs5(x0, x1, app(ty_Ratio, x2)) new_esEs24(x0, x1, ty_Bool) new_esEs25(x0, x1, app(app(ty_Either, x2), x3)) new_primPlusNat0(Zero, x0) new_esEs19(Just(x0), Just(x1), ty_Char) new_primPlusNat1(Zero, Succ(x0)) new_esEs10(EQ, GT) new_esEs10(GT, EQ) new_esEs8(x0, x1, ty_Integer) new_esEs16(@0, @0) new_esEs7(x0, x1, ty_Float) new_esEs25(x0, x1, ty_Ordering) new_esEs9(x0, x1, app(app(ty_Either, x2), x3)) new_esEs4(x0, x1, ty_Double) new_primPlusNat1(Succ(x0), Zero) new_esEs24(x0, x1, app(app(ty_@2, x2), x3)) new_primEqInt(Neg(Zero), Neg(Succ(x0))) new_esEs13(Integer(x0), Integer(x1)) new_esEs19(Just(x0), Just(x1), ty_Double) new_esEs23(x0, x1, app(app(app(ty_@3, x2), x3), x4)) We have to consider all minimal (P,Q,R)-chains. ---------------------------------------- (8) 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_lookup(@2(yu30, yu31), :(@2(@2(yu4000, yu4001), yu401), yu41), bc, bd, be) -> new_lookup1(yu30, yu31, yu4000, yu4001, yu401, yu41, new_asAs(new_esEs4(yu30, yu4000, bd), new_esEs5(yu31, yu4001, be)), bc, bd, be) The graph contains the following edges 1 > 1, 1 > 2, 2 > 3, 2 > 4, 2 > 5, 2 > 6, 3 >= 8, 4 >= 9, 5 >= 10 *new_lookup1(yu28, yu29, yu30, yu31, yu32, yu33, False, h, ba, bb) -> new_lookup(@2(yu28, yu29), yu33, h, ba, bb) The graph contains the following edges 6 >= 2, 8 >= 3, 9 >= 4, 10 >= 5 ---------------------------------------- (9) YES ---------------------------------------- (10) Obligation: Q DP problem: The TRS P consists of the following rules: new_esEs2(Just(yu300), Just(yu40000), app(ty_[], bbc)) -> new_esEs1(yu300, yu40000, bbc) new_esEs1(:(yu300, yu301), :(yu40000, yu40001), app(ty_Maybe, bab)) -> new_esEs2(yu300, yu40000, bab) new_esEs1(:(yu300, yu301), :(yu40000, yu40001), app(app(ty_Either, hg), hh)) -> new_esEs0(yu300, yu40000, hg, hh) new_esEs(@3(yu300, yu301, yu302), @3(yu40000, yu40001, yu40002), cc, bc, app(ty_[], ec)) -> new_esEs1(yu302, yu40002, ec) new_esEs3(@2(yu300, yu301), @2(yu40000, yu40001), app(app(ty_Either, bcc), bcd), bcb) -> new_esEs0(yu300, yu40000, bcc, bcd) new_esEs3(@2(yu300, yu301), @2(yu40000, yu40001), bda, app(app(ty_Either, bde), bdf)) -> new_esEs0(yu301, yu40001, bde, bdf) new_esEs(@3(yu300, yu301, yu302), @3(yu40000, yu40001, yu40002), cc, bc, app(app(ty_@2, ee), ef)) -> new_esEs3(yu302, yu40002, ee, ef) new_esEs(@3(yu300, yu301, yu302), @3(yu40000, yu40001, yu40002), app(app(ty_@2, ca), cb), bc, bd) -> new_esEs3(yu300, yu40000, ca, cb) new_esEs(@3(yu300, yu301, yu302), @3(yu40000, yu40001, yu40002), cc, bc, app(app(app(ty_@3, df), dg), dh)) -> new_esEs(yu302, yu40002, df, dg, dh) new_esEs0(Left(yu300), Left(yu40000), app(ty_Maybe, fg), fb) -> new_esEs2(yu300, yu40000, fg) new_esEs(@3(yu300, yu301, yu302), @3(yu40000, yu40001, yu40002), app(ty_[], bg), bc, bd) -> new_esEs1(yu300, yu40000, bg) new_esEs0(Right(yu300), Right(yu40000), gb, app(app(ty_Either, gf), gg)) -> new_esEs0(yu300, yu40000, gf, gg) new_esEs(@3(yu300, yu301, yu302), @3(yu40000, yu40001, yu40002), app(ty_Maybe, bh), bc, bd) -> new_esEs2(yu300, yu40000, bh) new_esEs(@3(yu300, yu301, yu302), @3(yu40000, yu40001, yu40002), cc, app(ty_[], db), bd) -> new_esEs1(yu301, yu40001, db) new_esEs1(:(yu300, yu301), :(yu40000, yu40001), app(app(app(ty_@3, hd), he), hf)) -> new_esEs(yu300, yu40000, hd, he, hf) new_esEs3(@2(yu300, yu301), @2(yu40000, yu40001), bda, app(ty_Maybe, bdh)) -> new_esEs2(yu301, yu40001, bdh) new_esEs2(Just(yu300), Just(yu40000), app(ty_Maybe, bbd)) -> new_esEs2(yu300, yu40000, bbd) new_esEs3(@2(yu300, yu301), @2(yu40000, yu40001), app(ty_Maybe, bcf), bcb) -> new_esEs2(yu300, yu40000, bcf) new_esEs3(@2(yu300, yu301), @2(yu40000, yu40001), bda, app(app(app(ty_@3, bdb), bdc), bdd)) -> new_esEs(yu301, yu40001, bdb, bdc, bdd) new_esEs3(@2(yu300, yu301), @2(yu40000, yu40001), bda, app(app(ty_@2, bea), beb)) -> new_esEs3(yu301, yu40001, bea, beb) new_esEs(@3(yu300, yu301, yu302), @3(yu40000, yu40001, yu40002), cc, app(app(app(ty_@3, cd), ce), cf), bd) -> new_esEs(yu301, yu40001, cd, ce, cf) new_esEs0(Left(yu300), Left(yu40000), app(app(ty_@2, fh), ga), fb) -> new_esEs3(yu300, yu40000, fh, ga) new_esEs0(Right(yu300), Right(yu40000), gb, app(ty_Maybe, ha)) -> new_esEs2(yu300, yu40000, ha) new_esEs0(Right(yu300), Right(yu40000), gb, app(app(ty_@2, hb), hc)) -> new_esEs3(yu300, yu40000, hb, hc) new_esEs3(@2(yu300, yu301), @2(yu40000, yu40001), bda, app(ty_[], bdg)) -> new_esEs1(yu301, yu40001, bdg) new_esEs(@3(yu300, yu301, yu302), @3(yu40000, yu40001, yu40002), app(app(ty_Either, be), bf), bc, bd) -> new_esEs0(yu300, yu40000, be, bf) new_esEs0(Left(yu300), Left(yu40000), app(app(ty_Either, fc), fd), fb) -> new_esEs0(yu300, yu40000, fc, fd) new_esEs(@3(yu300, yu301, yu302), @3(yu40000, yu40001, yu40002), cc, app(app(ty_Either, cg), da), bd) -> new_esEs0(yu301, yu40001, cg, da) new_esEs2(Just(yu300), Just(yu40000), app(app(ty_Either, bba), bbb)) -> new_esEs0(yu300, yu40000, bba, bbb) new_esEs0(Right(yu300), Right(yu40000), gb, app(app(app(ty_@3, gc), gd), ge)) -> new_esEs(yu300, yu40000, gc, gd, ge) new_esEs3(@2(yu300, yu301), @2(yu40000, yu40001), app(app(app(ty_@3, bbg), bbh), bca), bcb) -> new_esEs(yu300, yu40000, bbg, bbh, bca) new_esEs3(@2(yu300, yu301), @2(yu40000, yu40001), app(app(ty_@2, bcg), bch), bcb) -> new_esEs3(yu300, yu40000, bcg, bch) new_esEs1(:(yu300, yu301), :(yu40000, yu40001), bae) -> new_esEs1(yu301, yu40001, bae) new_esEs(@3(yu300, yu301, yu302), @3(yu40000, yu40001, yu40002), app(app(app(ty_@3, h), ba), bb), bc, bd) -> new_esEs(yu300, yu40000, h, ba, bb) new_esEs0(Left(yu300), Left(yu40000), app(ty_[], ff), fb) -> new_esEs1(yu300, yu40000, ff) new_esEs1(:(yu300, yu301), :(yu40000, yu40001), app(ty_[], baa)) -> new_esEs1(yu300, yu40000, baa) new_esEs(@3(yu300, yu301, yu302), @3(yu40000, yu40001, yu40002), cc, app(ty_Maybe, dc), bd) -> new_esEs2(yu301, yu40001, dc) new_esEs1(:(yu300, yu301), :(yu40000, yu40001), app(app(ty_@2, bac), bad)) -> new_esEs3(yu300, yu40000, bac, bad) new_esEs0(Right(yu300), Right(yu40000), gb, app(ty_[], gh)) -> new_esEs1(yu300, yu40000, gh) new_esEs2(Just(yu300), Just(yu40000), app(app(ty_@2, bbe), bbf)) -> new_esEs3(yu300, yu40000, bbe, bbf) new_esEs(@3(yu300, yu301, yu302), @3(yu40000, yu40001, yu40002), cc, bc, app(ty_Maybe, ed)) -> new_esEs2(yu302, yu40002, ed) new_esEs(@3(yu300, yu301, yu302), @3(yu40000, yu40001, yu40002), cc, bc, app(app(ty_Either, ea), eb)) -> new_esEs0(yu302, yu40002, ea, eb) new_esEs(@3(yu300, yu301, yu302), @3(yu40000, yu40001, yu40002), cc, app(app(ty_@2, dd), de), bd) -> new_esEs3(yu301, yu40001, dd, de) new_esEs0(Left(yu300), Left(yu40000), app(app(app(ty_@3, eg), eh), fa), fb) -> new_esEs(yu300, yu40000, eg, eh, fa) new_esEs3(@2(yu300, yu301), @2(yu40000, yu40001), app(ty_[], bce), bcb) -> new_esEs1(yu300, yu40000, bce) new_esEs2(Just(yu300), Just(yu40000), app(app(app(ty_@3, baf), bag), bah)) -> new_esEs(yu300, yu40000, baf, bag, bah) R is empty. Q is empty. We have to consider all minimal (P,Q,R)-chains. ---------------------------------------- (11) 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_esEs1(:(yu300, yu301), :(yu40000, yu40001), app(ty_Maybe, bab)) -> new_esEs2(yu300, yu40000, bab) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs2(Just(yu300), Just(yu40000), app(ty_Maybe, bbd)) -> new_esEs2(yu300, yu40000, bbd) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs2(Just(yu300), Just(yu40000), app(ty_[], bbc)) -> new_esEs1(yu300, yu40000, bbc) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs1(:(yu300, yu301), :(yu40000, yu40001), app(app(app(ty_@3, hd), he), hf)) -> new_esEs(yu300, yu40000, hd, he, hf) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 *new_esEs2(Just(yu300), Just(yu40000), app(app(app(ty_@3, baf), bag), bah)) -> new_esEs(yu300, yu40000, baf, bag, bah) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 *new_esEs1(:(yu300, yu301), :(yu40000, yu40001), app(app(ty_@2, bac), bad)) -> new_esEs3(yu300, yu40000, bac, bad) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs1(:(yu300, yu301), :(yu40000, yu40001), app(app(ty_Either, hg), hh)) -> new_esEs0(yu300, yu40000, hg, hh) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs2(Just(yu300), Just(yu40000), app(app(ty_@2, bbe), bbf)) -> new_esEs3(yu300, yu40000, bbe, bbf) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs2(Just(yu300), Just(yu40000), app(app(ty_Either, bba), bbb)) -> new_esEs0(yu300, yu40000, bba, bbb) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs1(:(yu300, yu301), :(yu40000, yu40001), bae) -> new_esEs1(yu301, yu40001, bae) The graph contains the following edges 1 > 1, 2 > 2, 3 >= 3 *new_esEs1(:(yu300, yu301), :(yu40000, yu40001), app(ty_[], baa)) -> new_esEs1(yu300, yu40000, baa) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs0(Left(yu300), Left(yu40000), app(ty_Maybe, fg), fb) -> new_esEs2(yu300, yu40000, fg) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs0(Right(yu300), Right(yu40000), gb, app(ty_Maybe, ha)) -> new_esEs2(yu300, yu40000, ha) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 *new_esEs3(@2(yu300, yu301), @2(yu40000, yu40001), bda, app(ty_Maybe, bdh)) -> new_esEs2(yu301, yu40001, bdh) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 *new_esEs3(@2(yu300, yu301), @2(yu40000, yu40001), app(ty_Maybe, bcf), bcb) -> new_esEs2(yu300, yu40000, bcf) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs(@3(yu300, yu301, yu302), @3(yu40000, yu40001, yu40002), app(ty_Maybe, bh), bc, bd) -> new_esEs2(yu300, yu40000, bh) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs(@3(yu300, yu301, yu302), @3(yu40000, yu40001, yu40002), cc, app(ty_Maybe, dc), bd) -> new_esEs2(yu301, yu40001, dc) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 *new_esEs(@3(yu300, yu301, yu302), @3(yu40000, yu40001, yu40002), cc, bc, app(ty_Maybe, ed)) -> new_esEs2(yu302, yu40002, ed) The graph contains the following edges 1 > 1, 2 > 2, 5 > 3 *new_esEs0(Left(yu300), Left(yu40000), app(ty_[], ff), fb) -> new_esEs1(yu300, yu40000, ff) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs0(Right(yu300), Right(yu40000), gb, app(ty_[], gh)) -> new_esEs1(yu300, yu40000, gh) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 *new_esEs3(@2(yu300, yu301), @2(yu40000, yu40001), bda, app(ty_[], bdg)) -> new_esEs1(yu301, yu40001, bdg) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 *new_esEs3(@2(yu300, yu301), @2(yu40000, yu40001), app(ty_[], bce), bcb) -> new_esEs1(yu300, yu40000, bce) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs(@3(yu300, yu301, yu302), @3(yu40000, yu40001, yu40002), cc, bc, app(ty_[], ec)) -> new_esEs1(yu302, yu40002, ec) The graph contains the following edges 1 > 1, 2 > 2, 5 > 3 *new_esEs(@3(yu300, yu301, yu302), @3(yu40000, yu40001, yu40002), app(ty_[], bg), bc, bd) -> new_esEs1(yu300, yu40000, bg) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs(@3(yu300, yu301, yu302), @3(yu40000, yu40001, yu40002), cc, app(ty_[], db), bd) -> new_esEs1(yu301, yu40001, db) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 *new_esEs0(Right(yu300), Right(yu40000), gb, app(app(app(ty_@3, gc), gd), ge)) -> new_esEs(yu300, yu40000, gc, gd, ge) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4, 4 > 5 *new_esEs0(Left(yu300), Left(yu40000), app(app(app(ty_@3, eg), eh), fa), fb) -> new_esEs(yu300, yu40000, eg, eh, fa) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 *new_esEs0(Left(yu300), Left(yu40000), app(app(ty_@2, fh), ga), fb) -> new_esEs3(yu300, yu40000, fh, ga) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs0(Right(yu300), Right(yu40000), gb, app(app(ty_@2, hb), hc)) -> new_esEs3(yu300, yu40000, hb, hc) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 *new_esEs0(Right(yu300), Right(yu40000), gb, app(app(ty_Either, gf), gg)) -> new_esEs0(yu300, yu40000, gf, gg) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 *new_esEs0(Left(yu300), Left(yu40000), app(app(ty_Either, fc), fd), fb) -> new_esEs0(yu300, yu40000, fc, fd) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs3(@2(yu300, yu301), @2(yu40000, yu40001), bda, app(app(app(ty_@3, bdb), bdc), bdd)) -> new_esEs(yu301, yu40001, bdb, bdc, bdd) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4, 4 > 5 *new_esEs3(@2(yu300, yu301), @2(yu40000, yu40001), app(app(app(ty_@3, bbg), bbh), bca), bcb) -> new_esEs(yu300, yu40000, bbg, bbh, bca) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 *new_esEs(@3(yu300, yu301, yu302), @3(yu40000, yu40001, yu40002), cc, bc, app(app(app(ty_@3, df), dg), dh)) -> new_esEs(yu302, yu40002, df, dg, dh) The graph contains the following edges 1 > 1, 2 > 2, 5 > 3, 5 > 4, 5 > 5 *new_esEs(@3(yu300, yu301, yu302), @3(yu40000, yu40001, yu40002), cc, app(app(app(ty_@3, cd), ce), cf), bd) -> new_esEs(yu301, yu40001, cd, ce, cf) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4, 4 > 5 *new_esEs(@3(yu300, yu301, yu302), @3(yu40000, yu40001, yu40002), app(app(app(ty_@3, h), ba), bb), bc, bd) -> new_esEs(yu300, yu40000, h, ba, bb) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 *new_esEs3(@2(yu300, yu301), @2(yu40000, yu40001), bda, app(app(ty_@2, bea), beb)) -> new_esEs3(yu301, yu40001, bea, beb) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 *new_esEs3(@2(yu300, yu301), @2(yu40000, yu40001), app(app(ty_@2, bcg), bch), bcb) -> new_esEs3(yu300, yu40000, bcg, bch) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs(@3(yu300, yu301, yu302), @3(yu40000, yu40001, yu40002), cc, bc, app(app(ty_@2, ee), ef)) -> new_esEs3(yu302, yu40002, ee, ef) The graph contains the following edges 1 > 1, 2 > 2, 5 > 3, 5 > 4 *new_esEs(@3(yu300, yu301, yu302), @3(yu40000, yu40001, yu40002), app(app(ty_@2, ca), cb), bc, bd) -> new_esEs3(yu300, yu40000, ca, cb) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs(@3(yu300, yu301, yu302), @3(yu40000, yu40001, yu40002), cc, app(app(ty_@2, dd), de), bd) -> new_esEs3(yu301, yu40001, dd, de) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 *new_esEs3(@2(yu300, yu301), @2(yu40000, yu40001), app(app(ty_Either, bcc), bcd), bcb) -> new_esEs0(yu300, yu40000, bcc, bcd) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs3(@2(yu300, yu301), @2(yu40000, yu40001), bda, app(app(ty_Either, bde), bdf)) -> new_esEs0(yu301, yu40001, bde, bdf) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 *new_esEs(@3(yu300, yu301, yu302), @3(yu40000, yu40001, yu40002), app(app(ty_Either, be), bf), bc, bd) -> new_esEs0(yu300, yu40000, be, bf) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs(@3(yu300, yu301, yu302), @3(yu40000, yu40001, yu40002), cc, app(app(ty_Either, cg), da), bd) -> new_esEs0(yu301, yu40001, cg, da) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 *new_esEs(@3(yu300, yu301, yu302), @3(yu40000, yu40001, yu40002), cc, bc, app(app(ty_Either, ea), eb)) -> new_esEs0(yu302, yu40002, ea, eb) The graph contains the following edges 1 > 1, 2 > 2, 5 > 3, 5 > 4 ---------------------------------------- (12) YES ---------------------------------------- (13) Obligation: Q DP problem: The TRS P consists of the following rules: new_primMulNat(Succ(yu30000), Succ(yu4000100)) -> new_primMulNat(yu30000, Succ(yu4000100)) R is empty. Q is empty. We have to consider all minimal (P,Q,R)-chains. ---------------------------------------- (14) 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(yu30000), Succ(yu4000100)) -> new_primMulNat(yu30000, Succ(yu4000100)) The graph contains the following edges 1 > 1, 2 >= 2 ---------------------------------------- (15) YES ---------------------------------------- (16) Obligation: Q DP problem: The TRS P consists of the following rules: new_primPlusNat(Succ(yu4800), Succ(yu40001000)) -> new_primPlusNat(yu4800, yu40001000) R is empty. Q is empty. We have to consider all minimal (P,Q,R)-chains. ---------------------------------------- (17) 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(yu4800), Succ(yu40001000)) -> new_primPlusNat(yu4800, yu40001000) The graph contains the following edges 1 > 1, 2 > 2 ---------------------------------------- (18) YES ---------------------------------------- (19) Obligation: Q DP problem: The TRS P consists of the following rules: new_primEqNat(Succ(yu3000), Succ(yu400000)) -> new_primEqNat(yu3000, yu400000) R is empty. Q is empty. We have to consider all minimal (P,Q,R)-chains. ---------------------------------------- (20) 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(yu3000), Succ(yu400000)) -> new_primEqNat(yu3000, yu400000) The graph contains the following edges 1 > 1, 2 > 2 ---------------------------------------- (21) YES