/export/starexec/sandbox/solver/bin/starexec_run_standard /export/starexec/sandbox/benchmark/theBenchmark.hs /export/starexec/sandbox/output/output_files -------------------------------------------------------------------------------- YES proof of /export/starexec/sandbox/benchmark/theBenchmark.hs # AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty H-Termination with start terms of the given HASKELL could be proven: (0) HASKELL (1) IFR [EQUIVALENT, 0 ms] (2) HASKELL (3) BR [EQUIVALENT, 0 ms] (4) HASKELL (5) COR [EQUIVALENT, 11 ms] (6) HASKELL (7) Narrow [SOUND, 0 ms] (8) AND (9) QDP (10) QDPSizeChangeProof [EQUIVALENT, 24 ms] (11) YES (12) QDP (13) QDPSizeChangeProof [EQUIVALENT, 0 ms] (14) YES (15) QDP (16) QDPSizeChangeProof [EQUIVALENT, 0 ms] (17) YES (18) QDP (19) QDPSizeChangeProof [EQUIVALENT, 0 ms] (20) YES (21) QDP (22) QDPSizeChangeProof [EQUIVALENT, 0 ms] (23) YES ---------------------------------------- (0) Obligation: mainModule Main module Maybe where { import qualified List; import qualified Main; import qualified Prelude; } module List where { import qualified Main; import qualified Maybe; import qualified Prelude; delete :: Eq a => a -> [a] -> [a]; delete = deleteBy (==); deleteBy :: (a -> a -> Bool) -> a -> [a] -> [a]; deleteBy _ _ [] = []; deleteBy eq x (y : ys) = if x `eq` y then ys else y : deleteBy eq x ys; } module Main where { import qualified List; import qualified Maybe; import qualified Prelude; } ---------------------------------------- (1) IFR (EQUIVALENT) If Reductions: The following If expression "if eq x y then ys else y : deleteBy eq x ys" is transformed to "deleteBy0 ys y eq x True = ys; deleteBy0 ys y eq x False = y : deleteBy eq x ys; " ---------------------------------------- (2) Obligation: mainModule Main module Maybe where { import qualified List; import qualified Main; import qualified Prelude; } module List where { import qualified Main; import qualified Maybe; import qualified Prelude; delete :: Eq a => a -> [a] -> [a]; delete = deleteBy (==); deleteBy :: (a -> a -> Bool) -> a -> [a] -> [a]; deleteBy _ _ [] = []; deleteBy eq x (y : ys) = deleteBy0 ys y eq x (x `eq` y); deleteBy0 ys y eq x True = ys; deleteBy0 ys y eq x False = y : deleteBy eq x ys; } module Main where { import qualified List; import qualified Maybe; import qualified Prelude; } ---------------------------------------- (3) BR (EQUIVALENT) Replaced joker patterns by fresh variables and removed binding patterns. ---------------------------------------- (4) Obligation: mainModule Main module Maybe where { import qualified List; import qualified Main; import qualified Prelude; } module List where { import qualified Main; import qualified Maybe; import qualified Prelude; delete :: Eq a => a -> [a] -> [a]; delete = deleteBy (==); deleteBy :: (a -> a -> Bool) -> a -> [a] -> [a]; deleteBy xw xx [] = []; deleteBy eq x (y : ys) = deleteBy0 ys y eq x (x `eq` y); deleteBy0 ys y eq x True = ys; deleteBy0 ys y eq x False = y : deleteBy eq x ys; } module Main where { import qualified List; import qualified Maybe; import qualified Prelude; } ---------------------------------------- (5) COR (EQUIVALENT) Cond Reductions: The following Function with conditions "undefined |Falseundefined; " is transformed to "undefined = undefined1; " "undefined0 True = undefined; " "undefined1 = undefined0 False; " ---------------------------------------- (6) Obligation: mainModule Main module Maybe where { import qualified List; import qualified Main; import qualified Prelude; } module List where { import qualified Main; import qualified Maybe; import qualified Prelude; delete :: Eq a => a -> [a] -> [a]; delete = deleteBy (==); deleteBy :: (a -> a -> Bool) -> a -> [a] -> [a]; deleteBy xw xx [] = []; deleteBy eq x (y : ys) = deleteBy0 ys y eq x (x `eq` y); deleteBy0 ys y eq x True = ys; deleteBy0 ys y eq x False = y : deleteBy eq x ys; } module Main where { import qualified List; import qualified Maybe; import qualified Prelude; } ---------------------------------------- (7) Narrow (SOUND) Haskell To QDPs digraph dp_graph { node [outthreshold=100, inthreshold=100];1[label="List.delete",fontsize=16,color="grey",shape="box"];1 -> 3[label="",style="dashed", color="grey", weight=3]; 3[label="List.delete xy3",fontsize=16,color="grey",shape="box"];3 -> 4[label="",style="dashed", color="grey", weight=3]; 4[label="List.delete xy3 xy4",fontsize=16,color="black",shape="triangle"];4 -> 5[label="",style="solid", color="black", weight=3]; 5[label="List.deleteBy (==) xy3 xy4",fontsize=16,color="burlywood",shape="triangle"];991[label="xy4/xy40 : xy41",fontsize=10,color="white",style="solid",shape="box"];5 -> 991[label="",style="solid", color="burlywood", weight=9]; 991 -> 6[label="",style="solid", color="burlywood", weight=3]; 992[label="xy4/[]",fontsize=10,color="white",style="solid",shape="box"];5 -> 992[label="",style="solid", color="burlywood", weight=9]; 992 -> 7[label="",style="solid", 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color="blue", weight=9]; 1018 -> 342[label="",style="solid", color="blue", weight=3]; 1019[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];318 -> 1019[label="",style="solid", color="blue", weight=9]; 1019 -> 343[label="",style="solid", color="blue", weight=3]; 1020[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];318 -> 1020[label="",style="solid", color="blue", weight=9]; 1020 -> 344[label="",style="solid", color="blue", weight=3]; 1021[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];318 -> 1021[label="",style="solid", color="blue", weight=9]; 1021 -> 345[label="",style="solid", color="blue", weight=3]; 1022[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];318 -> 1022[label="",style="solid", color="blue", weight=9]; 1022 -> 346[label="",style="solid", color="blue", weight=3]; 1023[label="== :: (Maybe 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False",fontsize=16,color="black",shape="box"];123 -> 141[label="",style="solid", color="black", weight=3]; 124[label="List.deleteBy0 xy25 (xy26,xy27) (==) (xy28,xy29) True",fontsize=16,color="black",shape="box"];124 -> 142[label="",style="solid", color="black", weight=3]; 321[label="xy30 == xy400",fontsize=16,color="black",shape="triangle"];321 -> 351[label="",style="solid", color="black", weight=3]; 322[label="xy30 == xy400",fontsize=16,color="burlywood",shape="triangle"];1027[label="xy30/LT",fontsize=10,color="white",style="solid",shape="box"];322 -> 1027[label="",style="solid", color="burlywood", weight=9]; 1027 -> 352[label="",style="solid", color="burlywood", weight=3]; 1028[label="xy30/EQ",fontsize=10,color="white",style="solid",shape="box"];322 -> 1028[label="",style="solid", color="burlywood", weight=9]; 1028 -> 353[label="",style="solid", color="burlywood", weight=3]; 1029[label="xy30/GT",fontsize=10,color="white",style="solid",shape="box"];322 -> 1029[label="",style="solid", color="burlywood", weight=9]; 1029 -> 354[label="",style="solid", color="burlywood", weight=3]; 323[label="xy30 == xy400",fontsize=16,color="black",shape="triangle"];323 -> 355[label="",style="solid", color="black", weight=3]; 324[label="xy30 == xy400",fontsize=16,color="burlywood",shape="triangle"];1030[label="xy30/False",fontsize=10,color="white",style="solid",shape="box"];324 -> 1030[label="",style="solid", color="burlywood", weight=9]; 1030 -> 356[label="",style="solid", color="burlywood", weight=3]; 1031[label="xy30/True",fontsize=10,color="white",style="solid",shape="box"];324 -> 1031[label="",style="solid", color="burlywood", weight=9]; 1031 -> 357[label="",style="solid", color="burlywood", weight=3]; 325[label="xy30 == xy400",fontsize=16,color="black",shape="triangle"];325 -> 358[label="",style="solid", color="black", weight=3]; 326[label="xy30 == xy400",fontsize=16,color="burlywood",shape="triangle"];1032[label="xy30/xy300 :% xy301",fontsize=10,color="white",style="solid",shape="box"];326 -> 1032[label="",style="solid", color="burlywood", weight=9]; 1032 -> 359[label="",style="solid", color="burlywood", weight=3]; 327[label="xy30 == xy400",fontsize=16,color="burlywood",shape="triangle"];1033[label="xy30/(xy300,xy301,xy302)",fontsize=10,color="white",style="solid",shape="box"];327 -> 1033[label="",style="solid", color="burlywood", weight=9]; 1033 -> 360[label="",style="solid", color="burlywood", weight=3]; 328[label="xy30 == xy400",fontsize=16,color="burlywood",shape="triangle"];1034[label="xy30/xy300 : xy301",fontsize=10,color="white",style="solid",shape="box"];328 -> 1034[label="",style="solid", color="burlywood", weight=9]; 1034 -> 361[label="",style="solid", color="burlywood", weight=3]; 1035[label="xy30/[]",fontsize=10,color="white",style="solid",shape="box"];328 -> 1035[label="",style="solid", color="burlywood", weight=9]; 1035 -> 362[label="",style="solid", color="burlywood", weight=3]; 329[label="xy30 == xy400",fontsize=16,color="burlywood",shape="triangle"];1036[label="xy30/Left xy300",fontsize=10,color="white",style="solid",shape="box"];329 -> 1036[label="",style="solid", color="burlywood", weight=9]; 1036 -> 363[label="",style="solid", color="burlywood", weight=3]; 1037[label="xy30/Right xy300",fontsize=10,color="white",style="solid",shape="box"];329 -> 1037[label="",style="solid", color="burlywood", weight=9]; 1037 -> 364[label="",style="solid", color="burlywood", weight=3]; 330[label="xy30 == xy400",fontsize=16,color="burlywood",shape="triangle"];1038[label="xy30/()",fontsize=10,color="white",style="solid",shape="box"];330 -> 1038[label="",style="solid", color="burlywood", weight=9]; 1038 -> 365[label="",style="solid", color="burlywood", weight=3]; 331[label="xy30 == xy400",fontsize=16,color="burlywood",shape="triangle"];1039[label="xy30/Integer xy300",fontsize=10,color="white",style="solid",shape="box"];331 -> 1039[label="",style="solid", color="burlywood", weight=9]; 1039 -> 366[label="",style="solid", color="burlywood", weight=3]; 332[label="xy30 == xy400",fontsize=16,color="burlywood",shape="triangle"];1040[label="xy30/(xy300,xy301)",fontsize=10,color="white",style="solid",shape="box"];332 -> 1040[label="",style="solid", color="burlywood", weight=9]; 1040 -> 367[label="",style="solid", color="burlywood", weight=3]; 333[label="xy30 == xy400",fontsize=16,color="burlywood",shape="triangle"];1041[label="xy30/Nothing",fontsize=10,color="white",style="solid",shape="box"];333 -> 1041[label="",style="solid", color="burlywood", weight=9]; 1041 -> 368[label="",style="solid", color="burlywood", weight=3]; 1042[label="xy30/Just xy300",fontsize=10,color="white",style="solid",shape="box"];333 -> 1042[label="",style="solid", color="burlywood", weight=9]; 1042 -> 369[label="",style="solid", color="burlywood", weight=3]; 334[label="xy30 == xy400",fontsize=16,color="black",shape="triangle"];334 -> 370[label="",style="solid", color="black", weight=3]; 335 -> 321[label="",style="dashed", color="red", weight=0]; 335[label="xy31 == xy401",fontsize=16,color="magenta"];335 -> 371[label="",style="dashed", color="magenta", weight=3]; 335 -> 372[label="",style="dashed", color="magenta", weight=3]; 336 -> 322[label="",style="dashed", color="red", weight=0]; 336[label="xy31 == xy401",fontsize=16,color="magenta"];336 -> 373[label="",style="dashed", color="magenta", weight=3]; 336 -> 374[label="",style="dashed", color="magenta", weight=3]; 337 -> 323[label="",style="dashed", color="red", weight=0]; 337[label="xy31 == xy401",fontsize=16,color="magenta"];337 -> 375[label="",style="dashed", color="magenta", weight=3]; 337 -> 376[label="",style="dashed", color="magenta", weight=3]; 338 -> 324[label="",style="dashed", color="red", weight=0]; 338[label="xy31 == xy401",fontsize=16,color="magenta"];338 -> 377[label="",style="dashed", color="magenta", weight=3]; 338 -> 378[label="",style="dashed", color="magenta", weight=3]; 339 -> 325[label="",style="dashed", color="red", weight=0]; 339[label="xy31 == xy401",fontsize=16,color="magenta"];339 -> 379[label="",style="dashed", color="magenta", weight=3]; 339 -> 380[label="",style="dashed", color="magenta", weight=3]; 340 -> 326[label="",style="dashed", color="red", weight=0]; 340[label="xy31 == xy401",fontsize=16,color="magenta"];340 -> 381[label="",style="dashed", color="magenta", weight=3]; 340 -> 382[label="",style="dashed", color="magenta", weight=3]; 341 -> 327[label="",style="dashed", color="red", weight=0]; 341[label="xy31 == xy401",fontsize=16,color="magenta"];341 -> 383[label="",style="dashed", color="magenta", weight=3]; 341 -> 384[label="",style="dashed", color="magenta", weight=3]; 342 -> 328[label="",style="dashed", color="red", weight=0]; 342[label="xy31 == xy401",fontsize=16,color="magenta"];342 -> 385[label="",style="dashed", color="magenta", weight=3]; 342 -> 386[label="",style="dashed", color="magenta", weight=3]; 343 -> 329[label="",style="dashed", color="red", weight=0]; 343[label="xy31 == xy401",fontsize=16,color="magenta"];343 -> 387[label="",style="dashed", color="magenta", weight=3]; 343 -> 388[label="",style="dashed", color="magenta", weight=3]; 344 -> 330[label="",style="dashed", color="red", weight=0]; 344[label="xy31 == xy401",fontsize=16,color="magenta"];344 -> 389[label="",style="dashed", color="magenta", weight=3]; 344 -> 390[label="",style="dashed", color="magenta", weight=3]; 345 -> 331[label="",style="dashed", color="red", weight=0]; 345[label="xy31 == xy401",fontsize=16,color="magenta"];345 -> 391[label="",style="dashed", color="magenta", weight=3]; 345 -> 392[label="",style="dashed", color="magenta", weight=3]; 346 -> 332[label="",style="dashed", color="red", weight=0]; 346[label="xy31 == xy401",fontsize=16,color="magenta"];346 -> 393[label="",style="dashed", color="magenta", weight=3]; 346 -> 394[label="",style="dashed", color="magenta", weight=3]; 347 -> 333[label="",style="dashed", color="red", weight=0]; 347[label="xy31 == xy401",fontsize=16,color="magenta"];347 -> 395[label="",style="dashed", color="magenta", weight=3]; 347 -> 396[label="",style="dashed", color="magenta", weight=3]; 348 -> 334[label="",style="dashed", color="red", weight=0]; 348[label="xy31 == xy401",fontsize=16,color="magenta"];348 -> 397[label="",style="dashed", color="magenta", weight=3]; 348 -> 398[label="",style="dashed", color="magenta", weight=3]; 349[label="False && xy43",fontsize=16,color="black",shape="box"];349 -> 399[label="",style="solid", color="black", weight=3]; 350[label="True && xy43",fontsize=16,color="black",shape="box"];350 -> 400[label="",style="solid", color="black", weight=3]; 141[label="(xy26,xy27) : List.deleteBy (==) (xy28,xy29) xy25",fontsize=16,color="green",shape="box"];141 -> 165[label="",style="dashed", color="green", weight=3]; 142[label="xy25",fontsize=16,color="green",shape="box"];351[label="primEqChar xy30 xy400",fontsize=16,color="burlywood",shape="box"];1043[label="xy30/Char xy300",fontsize=10,color="white",style="solid",shape="box"];351 -> 1043[label="",style="solid", color="burlywood", weight=9]; 1043 -> 401[label="",style="solid", color="burlywood", weight=3]; 352[label="LT == xy400",fontsize=16,color="burlywood",shape="box"];1044[label="xy400/LT",fontsize=10,color="white",style="solid",shape="box"];352 -> 1044[label="",style="solid", color="burlywood", weight=9]; 1044 -> 402[label="",style="solid", color="burlywood", weight=3]; 1045[label="xy400/EQ",fontsize=10,color="white",style="solid",shape="box"];352 -> 1045[label="",style="solid", color="burlywood", weight=9]; 1045 -> 403[label="",style="solid", color="burlywood", weight=3]; 1046[label="xy400/GT",fontsize=10,color="white",style="solid",shape="box"];352 -> 1046[label="",style="solid", color="burlywood", weight=9]; 1046 -> 404[label="",style="solid", color="burlywood", weight=3]; 353[label="EQ == xy400",fontsize=16,color="burlywood",shape="box"];1047[label="xy400/LT",fontsize=10,color="white",style="solid",shape="box"];353 -> 1047[label="",style="solid", color="burlywood", weight=9]; 1047 -> 405[label="",style="solid", color="burlywood", weight=3]; 1048[label="xy400/EQ",fontsize=10,color="white",style="solid",shape="box"];353 -> 1048[label="",style="solid", color="burlywood", weight=9]; 1048 -> 406[label="",style="solid", color="burlywood", weight=3]; 1049[label="xy400/GT",fontsize=10,color="white",style="solid",shape="box"];353 -> 1049[label="",style="solid", color="burlywood", weight=9]; 1049 -> 407[label="",style="solid", color="burlywood", weight=3]; 354[label="GT == xy400",fontsize=16,color="burlywood",shape="box"];1050[label="xy400/LT",fontsize=10,color="white",style="solid",shape="box"];354 -> 1050[label="",style="solid", color="burlywood", weight=9]; 1050 -> 408[label="",style="solid", color="burlywood", weight=3]; 1051[label="xy400/EQ",fontsize=10,color="white",style="solid",shape="box"];354 -> 1051[label="",style="solid", color="burlywood", weight=9]; 1051 -> 409[label="",style="solid", color="burlywood", weight=3]; 1052[label="xy400/GT",fontsize=10,color="white",style="solid",shape="box"];354 -> 1052[label="",style="solid", color="burlywood", weight=9]; 1052 -> 410[label="",style="solid", color="burlywood", weight=3]; 355[label="primEqFloat xy30 xy400",fontsize=16,color="burlywood",shape="box"];1053[label="xy30/Float xy300 xy301",fontsize=10,color="white",style="solid",shape="box"];355 -> 1053[label="",style="solid", color="burlywood", weight=9]; 1053 -> 411[label="",style="solid", color="burlywood", weight=3]; 356[label="False == xy400",fontsize=16,color="burlywood",shape="box"];1054[label="xy400/False",fontsize=10,color="white",style="solid",shape="box"];356 -> 1054[label="",style="solid", color="burlywood", weight=9]; 1054 -> 412[label="",style="solid", color="burlywood", weight=3]; 1055[label="xy400/True",fontsize=10,color="white",style="solid",shape="box"];356 -> 1055[label="",style="solid", color="burlywood", weight=9]; 1055 -> 413[label="",style="solid", color="burlywood", weight=3]; 357[label="True == xy400",fontsize=16,color="burlywood",shape="box"];1056[label="xy400/False",fontsize=10,color="white",style="solid",shape="box"];357 -> 1056[label="",style="solid", color="burlywood", weight=9]; 1056 -> 414[label="",style="solid", color="burlywood", weight=3]; 1057[label="xy400/True",fontsize=10,color="white",style="solid",shape="box"];357 -> 1057[label="",style="solid", color="burlywood", weight=9]; 1057 -> 415[label="",style="solid", color="burlywood", weight=3]; 358[label="primEqDouble xy30 xy400",fontsize=16,color="burlywood",shape="box"];1058[label="xy30/Double xy300 xy301",fontsize=10,color="white",style="solid",shape="box"];358 -> 1058[label="",style="solid", color="burlywood", weight=9]; 1058 -> 416[label="",style="solid", color="burlywood", weight=3]; 359[label="xy300 :% xy301 == xy400",fontsize=16,color="burlywood",shape="box"];1059[label="xy400/xy4000 :% xy4001",fontsize=10,color="white",style="solid",shape="box"];359 -> 1059[label="",style="solid", color="burlywood", weight=9]; 1059 -> 417[label="",style="solid", color="burlywood", weight=3]; 360[label="(xy300,xy301,xy302) == xy400",fontsize=16,color="burlywood",shape="box"];1060[label="xy400/(xy4000,xy4001,xy4002)",fontsize=10,color="white",style="solid",shape="box"];360 -> 1060[label="",style="solid", color="burlywood", weight=9]; 1060 -> 418[label="",style="solid", color="burlywood", weight=3]; 361[label="xy300 : xy301 == xy400",fontsize=16,color="burlywood",shape="box"];1061[label="xy400/xy4000 : xy4001",fontsize=10,color="white",style="solid",shape="box"];361 -> 1061[label="",style="solid", color="burlywood", weight=9]; 1061 -> 419[label="",style="solid", color="burlywood", weight=3]; 1062[label="xy400/[]",fontsize=10,color="white",style="solid",shape="box"];361 -> 1062[label="",style="solid", color="burlywood", weight=9]; 1062 -> 420[label="",style="solid", color="burlywood", weight=3]; 362[label="[] == xy400",fontsize=16,color="burlywood",shape="box"];1063[label="xy400/xy4000 : xy4001",fontsize=10,color="white",style="solid",shape="box"];362 -> 1063[label="",style="solid", color="burlywood", weight=9]; 1063 -> 421[label="",style="solid", color="burlywood", weight=3]; 1064[label="xy400/[]",fontsize=10,color="white",style="solid",shape="box"];362 -> 1064[label="",style="solid", color="burlywood", weight=9]; 1064 -> 422[label="",style="solid", color="burlywood", weight=3]; 363[label="Left xy300 == xy400",fontsize=16,color="burlywood",shape="box"];1065[label="xy400/Left xy4000",fontsize=10,color="white",style="solid",shape="box"];363 -> 1065[label="",style="solid", color="burlywood", weight=9]; 1065 -> 423[label="",style="solid", color="burlywood", weight=3]; 1066[label="xy400/Right xy4000",fontsize=10,color="white",style="solid",shape="box"];363 -> 1066[label="",style="solid", color="burlywood", weight=9]; 1066 -> 424[label="",style="solid", color="burlywood", weight=3]; 364[label="Right xy300 == xy400",fontsize=16,color="burlywood",shape="box"];1067[label="xy400/Left xy4000",fontsize=10,color="white",style="solid",shape="box"];364 -> 1067[label="",style="solid", color="burlywood", weight=9]; 1067 -> 425[label="",style="solid", color="burlywood", weight=3]; 1068[label="xy400/Right xy4000",fontsize=10,color="white",style="solid",shape="box"];364 -> 1068[label="",style="solid", color="burlywood", weight=9]; 1068 -> 426[label="",style="solid", color="burlywood", weight=3]; 365[label="() == xy400",fontsize=16,color="burlywood",shape="box"];1069[label="xy400/()",fontsize=10,color="white",style="solid",shape="box"];365 -> 1069[label="",style="solid", color="burlywood", weight=9]; 1069 -> 427[label="",style="solid", color="burlywood", weight=3]; 366[label="Integer xy300 == xy400",fontsize=16,color="burlywood",shape="box"];1070[label="xy400/Integer xy4000",fontsize=10,color="white",style="solid",shape="box"];366 -> 1070[label="",style="solid", color="burlywood", weight=9]; 1070 -> 428[label="",style="solid", color="burlywood", weight=3]; 367[label="(xy300,xy301) == xy400",fontsize=16,color="burlywood",shape="box"];1071[label="xy400/(xy4000,xy4001)",fontsize=10,color="white",style="solid",shape="box"];367 -> 1071[label="",style="solid", color="burlywood", weight=9]; 1071 -> 429[label="",style="solid", color="burlywood", weight=3]; 368[label="Nothing == xy400",fontsize=16,color="burlywood",shape="box"];1072[label="xy400/Nothing",fontsize=10,color="white",style="solid",shape="box"];368 -> 1072[label="",style="solid", color="burlywood", weight=9]; 1072 -> 430[label="",style="solid", color="burlywood", weight=3]; 1073[label="xy400/Just xy4000",fontsize=10,color="white",style="solid",shape="box"];368 -> 1073[label="",style="solid", color="burlywood", weight=9]; 1073 -> 431[label="",style="solid", color="burlywood", weight=3]; 369[label="Just xy300 == xy400",fontsize=16,color="burlywood",shape="box"];1074[label="xy400/Nothing",fontsize=10,color="white",style="solid",shape="box"];369 -> 1074[label="",style="solid", color="burlywood", weight=9]; 1074 -> 432[label="",style="solid", color="burlywood", weight=3]; 1075[label="xy400/Just xy4000",fontsize=10,color="white",style="solid",shape="box"];369 -> 1075[label="",style="solid", color="burlywood", weight=9]; 1075 -> 433[label="",style="solid", color="burlywood", weight=3]; 370[label="primEqInt xy30 xy400",fontsize=16,color="burlywood",shape="triangle"];1076[label="xy30/Pos xy300",fontsize=10,color="white",style="solid",shape="box"];370 -> 1076[label="",style="solid", color="burlywood", weight=9]; 1076 -> 434[label="",style="solid", color="burlywood", weight=3]; 1077[label="xy30/Neg xy300",fontsize=10,color="white",style="solid",shape="box"];370 -> 1077[label="",style="solid", color="burlywood", weight=9]; 1077 -> 435[label="",style="solid", color="burlywood", weight=3]; 371[label="xy31",fontsize=16,color="green",shape="box"];372[label="xy401",fontsize=16,color="green",shape="box"];373[label="xy31",fontsize=16,color="green",shape="box"];374[label="xy401",fontsize=16,color="green",shape="box"];375[label="xy31",fontsize=16,color="green",shape="box"];376[label="xy401",fontsize=16,color="green",shape="box"];377[label="xy31",fontsize=16,color="green",shape="box"];378[label="xy401",fontsize=16,color="green",shape="box"];379[label="xy31",fontsize=16,color="green",shape="box"];380[label="xy401",fontsize=16,color="green",shape="box"];381[label="xy31",fontsize=16,color="green",shape="box"];382[label="xy401",fontsize=16,color="green",shape="box"];383[label="xy31",fontsize=16,color="green",shape="box"];384[label="xy401",fontsize=16,color="green",shape="box"];385[label="xy31",fontsize=16,color="green",shape="box"];386[label="xy401",fontsize=16,color="green",shape="box"];387[label="xy31",fontsize=16,color="green",shape="box"];388[label="xy401",fontsize=16,color="green",shape="box"];389[label="xy31",fontsize=16,color="green",shape="box"];390[label="xy401",fontsize=16,color="green",shape="box"];391[label="xy31",fontsize=16,color="green",shape="box"];392[label="xy401",fontsize=16,color="green",shape="box"];393[label="xy31",fontsize=16,color="green",shape="box"];394[label="xy401",fontsize=16,color="green",shape="box"];395[label="xy31",fontsize=16,color="green",shape="box"];396[label="xy401",fontsize=16,color="green",shape="box"];397[label="xy31",fontsize=16,color="green",shape="box"];398[label="xy401",fontsize=16,color="green",shape="box"];399[label="False",fontsize=16,color="green",shape="box"];400[label="xy43",fontsize=16,color="green",shape="box"];165 -> 5[label="",style="dashed", color="red", weight=0]; 165[label="List.deleteBy (==) (xy28,xy29) xy25",fontsize=16,color="magenta"];165 -> 215[label="",style="dashed", color="magenta", weight=3]; 165 -> 216[label="",style="dashed", color="magenta", weight=3]; 401[label="primEqChar (Char xy300) xy400",fontsize=16,color="burlywood",shape="box"];1078[label="xy400/Char xy4000",fontsize=10,color="white",style="solid",shape="box"];401 -> 1078[label="",style="solid", color="burlywood", weight=9]; 1078 -> 436[label="",style="solid", color="burlywood", weight=3]; 402[label="LT == LT",fontsize=16,color="black",shape="box"];402 -> 437[label="",style="solid", color="black", weight=3]; 403[label="LT == EQ",fontsize=16,color="black",shape="box"];403 -> 438[label="",style="solid", color="black", weight=3]; 404[label="LT == GT",fontsize=16,color="black",shape="box"];404 -> 439[label="",style="solid", color="black", weight=3]; 405[label="EQ == LT",fontsize=16,color="black",shape="box"];405 -> 440[label="",style="solid", color="black", weight=3]; 406[label="EQ == EQ",fontsize=16,color="black",shape="box"];406 -> 441[label="",style="solid", color="black", weight=3]; 407[label="EQ == GT",fontsize=16,color="black",shape="box"];407 -> 442[label="",style="solid", color="black", weight=3]; 408[label="GT == LT",fontsize=16,color="black",shape="box"];408 -> 443[label="",style="solid", color="black", weight=3]; 409[label="GT == EQ",fontsize=16,color="black",shape="box"];409 -> 444[label="",style="solid", color="black", weight=3]; 410[label="GT == GT",fontsize=16,color="black",shape="box"];410 -> 445[label="",style="solid", color="black", weight=3]; 411[label="primEqFloat (Float xy300 xy301) xy400",fontsize=16,color="burlywood",shape="box"];1079[label="xy400/Float xy4000 xy4001",fontsize=10,color="white",style="solid",shape="box"];411 -> 1079[label="",style="solid", color="burlywood", weight=9]; 1079 -> 446[label="",style="solid", color="burlywood", weight=3]; 412[label="False == False",fontsize=16,color="black",shape="box"];412 -> 447[label="",style="solid", color="black", weight=3]; 413[label="False == True",fontsize=16,color="black",shape="box"];413 -> 448[label="",style="solid", color="black", weight=3]; 414[label="True == False",fontsize=16,color="black",shape="box"];414 -> 449[label="",style="solid", color="black", weight=3]; 415[label="True == True",fontsize=16,color="black",shape="box"];415 -> 450[label="",style="solid", color="black", weight=3]; 416[label="primEqDouble (Double xy300 xy301) xy400",fontsize=16,color="burlywood",shape="box"];1080[label="xy400/Double xy4000 xy4001",fontsize=10,color="white",style="solid",shape="box"];416 -> 1080[label="",style="solid", color="burlywood", weight=9]; 1080 -> 451[label="",style="solid", color="burlywood", weight=3]; 417[label="xy300 :% xy301 == xy4000 :% xy4001",fontsize=16,color="black",shape="box"];417 -> 452[label="",style="solid", color="black", weight=3]; 418[label="(xy300,xy301,xy302) == (xy4000,xy4001,xy4002)",fontsize=16,color="black",shape="box"];418 -> 453[label="",style="solid", color="black", weight=3]; 419[label="xy300 : xy301 == xy4000 : xy4001",fontsize=16,color="black",shape="box"];419 -> 454[label="",style="solid", color="black", weight=3]; 420[label="xy300 : xy301 == []",fontsize=16,color="black",shape="box"];420 -> 455[label="",style="solid", color="black", weight=3]; 421[label="[] == xy4000 : xy4001",fontsize=16,color="black",shape="box"];421 -> 456[label="",style="solid", color="black", weight=3]; 422[label="[] == []",fontsize=16,color="black",shape="box"];422 -> 457[label="",style="solid", color="black", weight=3]; 423[label="Left xy300 == Left xy4000",fontsize=16,color="black",shape="box"];423 -> 458[label="",style="solid", color="black", weight=3]; 424[label="Left xy300 == Right xy4000",fontsize=16,color="black",shape="box"];424 -> 459[label="",style="solid", color="black", weight=3]; 425[label="Right xy300 == Left xy4000",fontsize=16,color="black",shape="box"];425 -> 460[label="",style="solid", color="black", weight=3]; 426[label="Right xy300 == Right xy4000",fontsize=16,color="black",shape="box"];426 -> 461[label="",style="solid", color="black", weight=3]; 427[label="() == ()",fontsize=16,color="black",shape="box"];427 -> 462[label="",style="solid", color="black", weight=3]; 428[label="Integer xy300 == Integer xy4000",fontsize=16,color="black",shape="box"];428 -> 463[label="",style="solid", color="black", weight=3]; 429[label="(xy300,xy301) == (xy4000,xy4001)",fontsize=16,color="black",shape="box"];429 -> 464[label="",style="solid", color="black", weight=3]; 430[label="Nothing == Nothing",fontsize=16,color="black",shape="box"];430 -> 465[label="",style="solid", color="black", weight=3]; 431[label="Nothing == Just xy4000",fontsize=16,color="black",shape="box"];431 -> 466[label="",style="solid", color="black", weight=3]; 432[label="Just xy300 == Nothing",fontsize=16,color="black",shape="box"];432 -> 467[label="",style="solid", color="black", weight=3]; 433[label="Just xy300 == Just xy4000",fontsize=16,color="black",shape="box"];433 -> 468[label="",style="solid", color="black", weight=3]; 434[label="primEqInt (Pos xy300) xy400",fontsize=16,color="burlywood",shape="box"];1081[label="xy300/Succ xy3000",fontsize=10,color="white",style="solid",shape="box"];434 -> 1081[label="",style="solid", color="burlywood", weight=9]; 1081 -> 469[label="",style="solid", color="burlywood", weight=3]; 1082[label="xy300/Zero",fontsize=10,color="white",style="solid",shape="box"];434 -> 1082[label="",style="solid", color="burlywood", weight=9]; 1082 -> 470[label="",style="solid", color="burlywood", weight=3]; 435[label="primEqInt (Neg xy300) xy400",fontsize=16,color="burlywood",shape="box"];1083[label="xy300/Succ xy3000",fontsize=10,color="white",style="solid",shape="box"];435 -> 1083[label="",style="solid", color="burlywood", weight=9]; 1083 -> 471[label="",style="solid", color="burlywood", weight=3]; 1084[label="xy300/Zero",fontsize=10,color="white",style="solid",shape="box"];435 -> 1084[label="",style="solid", color="burlywood", weight=9]; 1084 -> 472[label="",style="solid", color="burlywood", weight=3]; 215[label="xy25",fontsize=16,color="green",shape="box"];216[label="(xy28,xy29)",fontsize=16,color="green",shape="box"];436[label="primEqChar (Char xy300) (Char xy4000)",fontsize=16,color="black",shape="box"];436 -> 473[label="",style="solid", color="black", weight=3]; 437[label="True",fontsize=16,color="green",shape="box"];438[label="False",fontsize=16,color="green",shape="box"];439[label="False",fontsize=16,color="green",shape="box"];440[label="False",fontsize=16,color="green",shape="box"];441[label="True",fontsize=16,color="green",shape="box"];442[label="False",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="True",fontsize=16,color="green",shape="box"];446[label="primEqFloat (Float xy300 xy301) (Float xy4000 xy4001)",fontsize=16,color="black",shape="box"];446 -> 474[label="",style="solid", color="black", weight=3]; 447[label="True",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="primEqDouble (Double xy300 xy301) (Double xy4000 xy4001)",fontsize=16,color="black",shape="box"];451 -> 475[label="",style="solid", color="black", weight=3]; 452 -> 316[label="",style="dashed", color="red", weight=0]; 452[label="xy300 == xy4000 && xy301 == xy4001",fontsize=16,color="magenta"];452 -> 476[label="",style="dashed", color="magenta", weight=3]; 452 -> 477[label="",style="dashed", color="magenta", weight=3]; 453 -> 316[label="",style="dashed", color="red", weight=0]; 453[label="xy300 == xy4000 && xy301 == xy4001 && xy302 == xy4002",fontsize=16,color="magenta"];453 -> 478[label="",style="dashed", color="magenta", weight=3]; 453 -> 479[label="",style="dashed", color="magenta", weight=3]; 454 -> 316[label="",style="dashed", color="red", weight=0]; 454[label="xy300 == xy4000 && xy301 == xy4001",fontsize=16,color="magenta"];454 -> 480[label="",style="dashed", color="magenta", weight=3]; 454 -> 481[label="",style="dashed", color="magenta", weight=3]; 455[label="False",fontsize=16,color="green",shape="box"];456[label="False",fontsize=16,color="green",shape="box"];457[label="True",fontsize=16,color="green",shape="box"];458[label="xy300 == xy4000",fontsize=16,color="blue",shape="box"];1085[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];458 -> 1085[label="",style="solid", color="blue", weight=9]; 1085 -> 482[label="",style="solid", color="blue", weight=3]; 1086[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];458 -> 1086[label="",style="solid", color="blue", weight=9]; 1086 -> 483[label="",style="solid", color="blue", weight=3]; 1087[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];458 -> 1087[label="",style="solid", color="blue", weight=9]; 1087 -> 484[label="",style="solid", color="blue", weight=3]; 1088[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];458 -> 1088[label="",style="solid", color="blue", weight=9]; 1088 -> 485[label="",style="solid", color="blue", weight=3]; 1089[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];458 -> 1089[label="",style="solid", color="blue", weight=9]; 1089 -> 486[label="",style="solid", color="blue", weight=3]; 1090[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];458 -> 1090[label="",style="solid", color="blue", weight=9]; 1090 -> 487[label="",style="solid", color="blue", weight=3]; 1091[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];458 -> 1091[label="",style="solid", color="blue", weight=9]; 1091 -> 488[label="",style="solid", color="blue", weight=3]; 1092[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];458 -> 1092[label="",style="solid", color="blue", weight=9]; 1092 -> 489[label="",style="solid", color="blue", weight=3]; 1093[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];458 -> 1093[label="",style="solid", color="blue", weight=9]; 1093 -> 490[label="",style="solid", color="blue", weight=3]; 1094[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];458 -> 1094[label="",style="solid", color="blue", weight=9]; 1094 -> 491[label="",style="solid", color="blue", weight=3]; 1095[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];458 -> 1095[label="",style="solid", color="blue", weight=9]; 1095 -> 492[label="",style="solid", color="blue", weight=3]; 1096[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];458 -> 1096[label="",style="solid", color="blue", weight=9]; 1096 -> 493[label="",style="solid", color="blue", weight=3]; 1097[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];458 -> 1097[label="",style="solid", color="blue", weight=9]; 1097 -> 494[label="",style="solid", color="blue", weight=3]; 1098[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];458 -> 1098[label="",style="solid", color="blue", weight=9]; 1098 -> 495[label="",style="solid", color="blue", weight=3]; 459[label="False",fontsize=16,color="green",shape="box"];460[label="False",fontsize=16,color="green",shape="box"];461[label="xy300 == xy4000",fontsize=16,color="blue",shape="box"];1099[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];461 -> 1099[label="",style="solid", color="blue", weight=9]; 1099 -> 496[label="",style="solid", color="blue", weight=3]; 1100[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];461 -> 1100[label="",style="solid", color="blue", weight=9]; 1100 -> 497[label="",style="solid", color="blue", weight=3]; 1101[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];461 -> 1101[label="",style="solid", color="blue", weight=9]; 1101 -> 498[label="",style="solid", color="blue", weight=3]; 1102[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];461 -> 1102[label="",style="solid", color="blue", weight=9]; 1102 -> 499[label="",style="solid", color="blue", weight=3]; 1103[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];461 -> 1103[label="",style="solid", color="blue", weight=9]; 1103 -> 500[label="",style="solid", color="blue", weight=3]; 1104[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];461 -> 1104[label="",style="solid", color="blue", weight=9]; 1104 -> 501[label="",style="solid", color="blue", weight=3]; 1105[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];461 -> 1105[label="",style="solid", color="blue", weight=9]; 1105 -> 502[label="",style="solid", color="blue", weight=3]; 1106[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];461 -> 1106[label="",style="solid", color="blue", weight=9]; 1106 -> 503[label="",style="solid", color="blue", weight=3]; 1107[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];461 -> 1107[label="",style="solid", color="blue", weight=9]; 1107 -> 504[label="",style="solid", color="blue", weight=3]; 1108[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];461 -> 1108[label="",style="solid", color="blue", weight=9]; 1108 -> 505[label="",style="solid", color="blue", weight=3]; 1109[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];461 -> 1109[label="",style="solid", color="blue", weight=9]; 1109 -> 506[label="",style="solid", color="blue", weight=3]; 1110[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];461 -> 1110[label="",style="solid", color="blue", weight=9]; 1110 -> 507[label="",style="solid", color="blue", weight=3]; 1111[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];461 -> 1111[label="",style="solid", color="blue", weight=9]; 1111 -> 508[label="",style="solid", color="blue", weight=3]; 1112[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];461 -> 1112[label="",style="solid", color="blue", weight=9]; 1112 -> 509[label="",style="solid", color="blue", weight=3]; 462[label="True",fontsize=16,color="green",shape="box"];463 -> 370[label="",style="dashed", color="red", weight=0]; 463[label="primEqInt xy300 xy4000",fontsize=16,color="magenta"];463 -> 510[label="",style="dashed", color="magenta", weight=3]; 463 -> 511[label="",style="dashed", color="magenta", weight=3]; 464 -> 316[label="",style="dashed", color="red", weight=0]; 464[label="xy300 == xy4000 && xy301 == xy4001",fontsize=16,color="magenta"];464 -> 512[label="",style="dashed", color="magenta", weight=3]; 464 -> 513[label="",style="dashed", color="magenta", weight=3]; 465[label="True",fontsize=16,color="green",shape="box"];466[label="False",fontsize=16,color="green",shape="box"];467[label="False",fontsize=16,color="green",shape="box"];468[label="xy300 == xy4000",fontsize=16,color="blue",shape="box"];1113[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];468 -> 1113[label="",style="solid", color="blue", weight=9]; 1113 -> 514[label="",style="solid", color="blue", weight=3]; 1114[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];468 -> 1114[label="",style="solid", color="blue", weight=9]; 1114 -> 515[label="",style="solid", color="blue", weight=3]; 1115[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];468 -> 1115[label="",style="solid", color="blue", weight=9]; 1115 -> 516[label="",style="solid", color="blue", weight=3]; 1116[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];468 -> 1116[label="",style="solid", color="blue", weight=9]; 1116 -> 517[label="",style="solid", color="blue", weight=3]; 1117[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];468 -> 1117[label="",style="solid", color="blue", weight=9]; 1117 -> 518[label="",style="solid", color="blue", weight=3]; 1118[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];468 -> 1118[label="",style="solid", color="blue", weight=9]; 1118 -> 519[label="",style="solid", color="blue", weight=3]; 1119[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];468 -> 1119[label="",style="solid", color="blue", weight=9]; 1119 -> 520[label="",style="solid", color="blue", weight=3]; 1120[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];468 -> 1120[label="",style="solid", color="blue", weight=9]; 1120 -> 521[label="",style="solid", color="blue", weight=3]; 1121[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];468 -> 1121[label="",style="solid", color="blue", weight=9]; 1121 -> 522[label="",style="solid", color="blue", weight=3]; 1122[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];468 -> 1122[label="",style="solid", color="blue", weight=9]; 1122 -> 523[label="",style="solid", color="blue", weight=3]; 1123[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];468 -> 1123[label="",style="solid", color="blue", weight=9]; 1123 -> 524[label="",style="solid", color="blue", weight=3]; 1124[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];468 -> 1124[label="",style="solid", color="blue", weight=9]; 1124 -> 525[label="",style="solid", color="blue", weight=3]; 1125[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];468 -> 1125[label="",style="solid", color="blue", weight=9]; 1125 -> 526[label="",style="solid", color="blue", weight=3]; 1126[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];468 -> 1126[label="",style="solid", color="blue", weight=9]; 1126 -> 527[label="",style="solid", color="blue", weight=3]; 469[label="primEqInt (Pos (Succ xy3000)) xy400",fontsize=16,color="burlywood",shape="box"];1127[label="xy400/Pos xy4000",fontsize=10,color="white",style="solid",shape="box"];469 -> 1127[label="",style="solid", color="burlywood", weight=9]; 1127 -> 528[label="",style="solid", color="burlywood", weight=3]; 1128[label="xy400/Neg xy4000",fontsize=10,color="white",style="solid",shape="box"];469 -> 1128[label="",style="solid", color="burlywood", weight=9]; 1128 -> 529[label="",style="solid", color="burlywood", weight=3]; 470[label="primEqInt (Pos Zero) xy400",fontsize=16,color="burlywood",shape="box"];1129[label="xy400/Pos xy4000",fontsize=10,color="white",style="solid",shape="box"];470 -> 1129[label="",style="solid", color="burlywood", weight=9]; 1129 -> 530[label="",style="solid", color="burlywood", weight=3]; 1130[label="xy400/Neg xy4000",fontsize=10,color="white",style="solid",shape="box"];470 -> 1130[label="",style="solid", color="burlywood", weight=9]; 1130 -> 531[label="",style="solid", color="burlywood", weight=3]; 471[label="primEqInt (Neg (Succ xy3000)) xy400",fontsize=16,color="burlywood",shape="box"];1131[label="xy400/Pos xy4000",fontsize=10,color="white",style="solid",shape="box"];471 -> 1131[label="",style="solid", color="burlywood", weight=9]; 1131 -> 532[label="",style="solid", color="burlywood", weight=3]; 1132[label="xy400/Neg xy4000",fontsize=10,color="white",style="solid",shape="box"];471 -> 1132[label="",style="solid", color="burlywood", weight=9]; 1132 -> 533[label="",style="solid", color="burlywood", weight=3]; 472[label="primEqInt (Neg Zero) xy400",fontsize=16,color="burlywood",shape="box"];1133[label="xy400/Pos xy4000",fontsize=10,color="white",style="solid",shape="box"];472 -> 1133[label="",style="solid", color="burlywood", weight=9]; 1133 -> 534[label="",style="solid", color="burlywood", weight=3]; 1134[label="xy400/Neg xy4000",fontsize=10,color="white",style="solid",shape="box"];472 -> 1134[label="",style="solid", color="burlywood", weight=9]; 1134 -> 535[label="",style="solid", color="burlywood", weight=3]; 473[label="primEqNat xy300 xy4000",fontsize=16,color="burlywood",shape="triangle"];1135[label="xy300/Succ xy3000",fontsize=10,color="white",style="solid",shape="box"];473 -> 1135[label="",style="solid", color="burlywood", weight=9]; 1135 -> 536[label="",style="solid", color="burlywood", weight=3]; 1136[label="xy300/Zero",fontsize=10,color="white",style="solid",shape="box"];473 -> 1136[label="",style="solid", color="burlywood", weight=9]; 1136 -> 537[label="",style="solid", color="burlywood", weight=3]; 474 -> 334[label="",style="dashed", color="red", weight=0]; 474[label="xy300 * xy4001 == xy301 * xy4000",fontsize=16,color="magenta"];474 -> 538[label="",style="dashed", color="magenta", weight=3]; 474 -> 539[label="",style="dashed", color="magenta", weight=3]; 475 -> 334[label="",style="dashed", color="red", weight=0]; 475[label="xy300 * xy4001 == xy301 * xy4000",fontsize=16,color="magenta"];475 -> 540[label="",style="dashed", color="magenta", weight=3]; 475 -> 541[label="",style="dashed", color="magenta", weight=3]; 476[label="xy300 == xy4000",fontsize=16,color="blue",shape="box"];1137[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];476 -> 1137[label="",style="solid", color="blue", weight=9]; 1137 -> 542[label="",style="solid", color="blue", weight=3]; 1138[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];476 -> 1138[label="",style="solid", color="blue", weight=9]; 1138 -> 543[label="",style="solid", color="blue", weight=3]; 477[label="xy301 == xy4001",fontsize=16,color="blue",shape="box"];1139[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];477 -> 1139[label="",style="solid", color="blue", weight=9]; 1139 -> 544[label="",style="solid", color="blue", weight=3]; 1140[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];477 -> 1140[label="",style="solid", color="blue", weight=9]; 1140 -> 545[label="",style="solid", color="blue", weight=3]; 478[label="xy300 == xy4000",fontsize=16,color="blue",shape="box"];1141[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];478 -> 1141[label="",style="solid", color="blue", weight=9]; 1141 -> 546[label="",style="solid", color="blue", weight=3]; 1142[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];478 -> 1142[label="",style="solid", color="blue", weight=9]; 1142 -> 547[label="",style="solid", color="blue", weight=3]; 1143[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];478 -> 1143[label="",style="solid", color="blue", weight=9]; 1143 -> 548[label="",style="solid", color="blue", weight=3]; 1144[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];478 -> 1144[label="",style="solid", color="blue", weight=9]; 1144 -> 549[label="",style="solid", color="blue", weight=3]; 1145[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];478 -> 1145[label="",style="solid", color="blue", weight=9]; 1145 -> 550[label="",style="solid", color="blue", weight=3]; 1146[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];478 -> 1146[label="",style="solid", color="blue", weight=9]; 1146 -> 551[label="",style="solid", color="blue", weight=3]; 1147[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];478 -> 1147[label="",style="solid", color="blue", weight=9]; 1147 -> 552[label="",style="solid", color="blue", weight=3]; 1148[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];478 -> 1148[label="",style="solid", color="blue", weight=9]; 1148 -> 553[label="",style="solid", color="blue", weight=3]; 1149[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];478 -> 1149[label="",style="solid", color="blue", weight=9]; 1149 -> 554[label="",style="solid", color="blue", weight=3]; 1150[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];478 -> 1150[label="",style="solid", color="blue", weight=9]; 1150 -> 555[label="",style="solid", color="blue", weight=3]; 1151[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];478 -> 1151[label="",style="solid", color="blue", weight=9]; 1151 -> 556[label="",style="solid", color="blue", weight=3]; 1152[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];478 -> 1152[label="",style="solid", color="blue", weight=9]; 1152 -> 557[label="",style="solid", color="blue", weight=3]; 1153[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];478 -> 1153[label="",style="solid", color="blue", weight=9]; 1153 -> 558[label="",style="solid", color="blue", weight=3]; 1154[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];478 -> 1154[label="",style="solid", color="blue", weight=9]; 1154 -> 559[label="",style="solid", color="blue", weight=3]; 479 -> 316[label="",style="dashed", color="red", weight=0]; 479[label="xy301 == xy4001 && xy302 == xy4002",fontsize=16,color="magenta"];479 -> 560[label="",style="dashed", color="magenta", weight=3]; 479 -> 561[label="",style="dashed", color="magenta", weight=3]; 480[label="xy300 == xy4000",fontsize=16,color="blue",shape="box"];1155[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];480 -> 1155[label="",style="solid", color="blue", weight=9]; 1155 -> 562[label="",style="solid", color="blue", weight=3]; 1156[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];480 -> 1156[label="",style="solid", color="blue", weight=9]; 1156 -> 563[label="",style="solid", color="blue", weight=3]; 1157[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];480 -> 1157[label="",style="solid", color="blue", weight=9]; 1157 -> 564[label="",style="solid", color="blue", weight=3]; 1158[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];480 -> 1158[label="",style="solid", color="blue", weight=9]; 1158 -> 565[label="",style="solid", color="blue", weight=3]; 1159[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];480 -> 1159[label="",style="solid", color="blue", weight=9]; 1159 -> 566[label="",style="solid", color="blue", weight=3]; 1160[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];480 -> 1160[label="",style="solid", color="blue", weight=9]; 1160 -> 567[label="",style="solid", color="blue", weight=3]; 1161[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];480 -> 1161[label="",style="solid", color="blue", weight=9]; 1161 -> 568[label="",style="solid", color="blue", weight=3]; 1162[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];480 -> 1162[label="",style="solid", color="blue", weight=9]; 1162 -> 569[label="",style="solid", color="blue", weight=3]; 1163[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];480 -> 1163[label="",style="solid", color="blue", weight=9]; 1163 -> 570[label="",style="solid", color="blue", weight=3]; 1164[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];480 -> 1164[label="",style="solid", color="blue", weight=9]; 1164 -> 571[label="",style="solid", color="blue", weight=3]; 1165[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];480 -> 1165[label="",style="solid", color="blue", weight=9]; 1165 -> 572[label="",style="solid", color="blue", weight=3]; 1166[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];480 -> 1166[label="",style="solid", color="blue", weight=9]; 1166 -> 573[label="",style="solid", color="blue", weight=3]; 1167[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];480 -> 1167[label="",style="solid", color="blue", weight=9]; 1167 -> 574[label="",style="solid", color="blue", weight=3]; 1168[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];480 -> 1168[label="",style="solid", color="blue", weight=9]; 1168 -> 575[label="",style="solid", color="blue", weight=3]; 481 -> 328[label="",style="dashed", color="red", weight=0]; 481[label="xy301 == xy4001",fontsize=16,color="magenta"];481 -> 576[label="",style="dashed", color="magenta", weight=3]; 481 -> 577[label="",style="dashed", color="magenta", weight=3]; 482 -> 321[label="",style="dashed", color="red", weight=0]; 482[label="xy300 == xy4000",fontsize=16,color="magenta"];482 -> 578[label="",style="dashed", color="magenta", weight=3]; 482 -> 579[label="",style="dashed", color="magenta", weight=3]; 483 -> 322[label="",style="dashed", color="red", weight=0]; 483[label="xy300 == xy4000",fontsize=16,color="magenta"];483 -> 580[label="",style="dashed", color="magenta", weight=3]; 483 -> 581[label="",style="dashed", color="magenta", weight=3]; 484 -> 323[label="",style="dashed", color="red", weight=0]; 484[label="xy300 == xy4000",fontsize=16,color="magenta"];484 -> 582[label="",style="dashed", color="magenta", weight=3]; 484 -> 583[label="",style="dashed", color="magenta", weight=3]; 485 -> 324[label="",style="dashed", color="red", weight=0]; 485[label="xy300 == xy4000",fontsize=16,color="magenta"];485 -> 584[label="",style="dashed", color="magenta", weight=3]; 485 -> 585[label="",style="dashed", color="magenta", weight=3]; 486 -> 325[label="",style="dashed", color="red", weight=0]; 486[label="xy300 == xy4000",fontsize=16,color="magenta"];486 -> 586[label="",style="dashed", color="magenta", weight=3]; 486 -> 587[label="",style="dashed", color="magenta", weight=3]; 487 -> 326[label="",style="dashed", color="red", weight=0]; 487[label="xy300 == xy4000",fontsize=16,color="magenta"];487 -> 588[label="",style="dashed", color="magenta", weight=3]; 487 -> 589[label="",style="dashed", color="magenta", weight=3]; 488 -> 327[label="",style="dashed", color="red", weight=0]; 488[label="xy300 == xy4000",fontsize=16,color="magenta"];488 -> 590[label="",style="dashed", color="magenta", weight=3]; 488 -> 591[label="",style="dashed", color="magenta", weight=3]; 489 -> 328[label="",style="dashed", color="red", weight=0]; 489[label="xy300 == xy4000",fontsize=16,color="magenta"];489 -> 592[label="",style="dashed", color="magenta", weight=3]; 489 -> 593[label="",style="dashed", color="magenta", weight=3]; 490 -> 329[label="",style="dashed", color="red", weight=0]; 490[label="xy300 == xy4000",fontsize=16,color="magenta"];490 -> 594[label="",style="dashed", color="magenta", weight=3]; 490 -> 595[label="",style="dashed", color="magenta", weight=3]; 491 -> 330[label="",style="dashed", color="red", weight=0]; 491[label="xy300 == xy4000",fontsize=16,color="magenta"];491 -> 596[label="",style="dashed", color="magenta", weight=3]; 491 -> 597[label="",style="dashed", color="magenta", weight=3]; 492 -> 331[label="",style="dashed", color="red", weight=0]; 492[label="xy300 == xy4000",fontsize=16,color="magenta"];492 -> 598[label="",style="dashed", color="magenta", weight=3]; 492 -> 599[label="",style="dashed", color="magenta", weight=3]; 493 -> 332[label="",style="dashed", color="red", weight=0]; 493[label="xy300 == xy4000",fontsize=16,color="magenta"];493 -> 600[label="",style="dashed", color="magenta", weight=3]; 493 -> 601[label="",style="dashed", color="magenta", weight=3]; 494 -> 333[label="",style="dashed", color="red", weight=0]; 494[label="xy300 == xy4000",fontsize=16,color="magenta"];494 -> 602[label="",style="dashed", color="magenta", weight=3]; 494 -> 603[label="",style="dashed", color="magenta", weight=3]; 495 -> 334[label="",style="dashed", color="red", weight=0]; 495[label="xy300 == xy4000",fontsize=16,color="magenta"];495 -> 604[label="",style="dashed", color="magenta", weight=3]; 495 -> 605[label="",style="dashed", color="magenta", weight=3]; 496 -> 321[label="",style="dashed", color="red", weight=0]; 496[label="xy300 == xy4000",fontsize=16,color="magenta"];496 -> 606[label="",style="dashed", color="magenta", weight=3]; 496 -> 607[label="",style="dashed", color="magenta", weight=3]; 497 -> 322[label="",style="dashed", color="red", weight=0]; 497[label="xy300 == xy4000",fontsize=16,color="magenta"];497 -> 608[label="",style="dashed", color="magenta", weight=3]; 497 -> 609[label="",style="dashed", color="magenta", weight=3]; 498 -> 323[label="",style="dashed", color="red", weight=0]; 498[label="xy300 == xy4000",fontsize=16,color="magenta"];498 -> 610[label="",style="dashed", color="magenta", weight=3]; 498 -> 611[label="",style="dashed", color="magenta", weight=3]; 499 -> 324[label="",style="dashed", color="red", weight=0]; 499[label="xy300 == xy4000",fontsize=16,color="magenta"];499 -> 612[label="",style="dashed", color="magenta", weight=3]; 499 -> 613[label="",style="dashed", color="magenta", weight=3]; 500 -> 325[label="",style="dashed", color="red", weight=0]; 500[label="xy300 == xy4000",fontsize=16,color="magenta"];500 -> 614[label="",style="dashed", color="magenta", weight=3]; 500 -> 615[label="",style="dashed", color="magenta", weight=3]; 501 -> 326[label="",style="dashed", color="red", weight=0]; 501[label="xy300 == xy4000",fontsize=16,color="magenta"];501 -> 616[label="",style="dashed", color="magenta", weight=3]; 501 -> 617[label="",style="dashed", color="magenta", weight=3]; 502 -> 327[label="",style="dashed", color="red", weight=0]; 502[label="xy300 == xy4000",fontsize=16,color="magenta"];502 -> 618[label="",style="dashed", color="magenta", weight=3]; 502 -> 619[label="",style="dashed", color="magenta", weight=3]; 503 -> 328[label="",style="dashed", color="red", weight=0]; 503[label="xy300 == xy4000",fontsize=16,color="magenta"];503 -> 620[label="",style="dashed", color="magenta", weight=3]; 503 -> 621[label="",style="dashed", color="magenta", weight=3]; 504 -> 329[label="",style="dashed", color="red", weight=0]; 504[label="xy300 == xy4000",fontsize=16,color="magenta"];504 -> 622[label="",style="dashed", color="magenta", weight=3]; 504 -> 623[label="",style="dashed", color="magenta", weight=3]; 505 -> 330[label="",style="dashed", color="red", weight=0]; 505[label="xy300 == xy4000",fontsize=16,color="magenta"];505 -> 624[label="",style="dashed", color="magenta", weight=3]; 505 -> 625[label="",style="dashed", color="magenta", weight=3]; 506 -> 331[label="",style="dashed", color="red", weight=0]; 506[label="xy300 == xy4000",fontsize=16,color="magenta"];506 -> 626[label="",style="dashed", color="magenta", weight=3]; 506 -> 627[label="",style="dashed", color="magenta", weight=3]; 507 -> 332[label="",style="dashed", color="red", weight=0]; 507[label="xy300 == xy4000",fontsize=16,color="magenta"];507 -> 628[label="",style="dashed", color="magenta", weight=3]; 507 -> 629[label="",style="dashed", color="magenta", weight=3]; 508 -> 333[label="",style="dashed", color="red", weight=0]; 508[label="xy300 == xy4000",fontsize=16,color="magenta"];508 -> 630[label="",style="dashed", color="magenta", weight=3]; 508 -> 631[label="",style="dashed", color="magenta", weight=3]; 509 -> 334[label="",style="dashed", color="red", weight=0]; 509[label="xy300 == xy4000",fontsize=16,color="magenta"];509 -> 632[label="",style="dashed", color="magenta", weight=3]; 509 -> 633[label="",style="dashed", color="magenta", weight=3]; 510[label="xy300",fontsize=16,color="green",shape="box"];511[label="xy4000",fontsize=16,color="green",shape="box"];512[label="xy300 == xy4000",fontsize=16,color="blue",shape="box"];1169[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];512 -> 1169[label="",style="solid", color="blue", weight=9]; 1169 -> 634[label="",style="solid", color="blue", weight=3]; 1170[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];512 -> 1170[label="",style="solid", color="blue", weight=9]; 1170 -> 635[label="",style="solid", color="blue", weight=3]; 1171[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];512 -> 1171[label="",style="solid", color="blue", weight=9]; 1171 -> 636[label="",style="solid", color="blue", weight=3]; 1172[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];512 -> 1172[label="",style="solid", color="blue", weight=9]; 1172 -> 637[label="",style="solid", color="blue", weight=3]; 1173[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];512 -> 1173[label="",style="solid", color="blue", weight=9]; 1173 -> 638[label="",style="solid", color="blue", weight=3]; 1174[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];512 -> 1174[label="",style="solid", color="blue", weight=9]; 1174 -> 639[label="",style="solid", color="blue", weight=3]; 1175[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];512 -> 1175[label="",style="solid", color="blue", weight=9]; 1175 -> 640[label="",style="solid", color="blue", weight=3]; 1176[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];512 -> 1176[label="",style="solid", color="blue", weight=9]; 1176 -> 641[label="",style="solid", color="blue", weight=3]; 1177[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];512 -> 1177[label="",style="solid", color="blue", weight=9]; 1177 -> 642[label="",style="solid", color="blue", weight=3]; 1178[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];512 -> 1178[label="",style="solid", color="blue", weight=9]; 1178 -> 643[label="",style="solid", color="blue", weight=3]; 1179[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];512 -> 1179[label="",style="solid", color="blue", weight=9]; 1179 -> 644[label="",style="solid", color="blue", weight=3]; 1180[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];512 -> 1180[label="",style="solid", color="blue", weight=9]; 1180 -> 645[label="",style="solid", color="blue", weight=3]; 1181[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];512 -> 1181[label="",style="solid", color="blue", weight=9]; 1181 -> 646[label="",style="solid", color="blue", weight=3]; 1182[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];512 -> 1182[label="",style="solid", color="blue", weight=9]; 1182 -> 647[label="",style="solid", color="blue", weight=3]; 513[label="xy301 == xy4001",fontsize=16,color="blue",shape="box"];1183[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];513 -> 1183[label="",style="solid", color="blue", weight=9]; 1183 -> 648[label="",style="solid", color="blue", weight=3]; 1184[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];513 -> 1184[label="",style="solid", color="blue", weight=9]; 1184 -> 649[label="",style="solid", color="blue", weight=3]; 1185[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];513 -> 1185[label="",style="solid", color="blue", weight=9]; 1185 -> 650[label="",style="solid", color="blue", weight=3]; 1186[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];513 -> 1186[label="",style="solid", color="blue", weight=9]; 1186 -> 651[label="",style="solid", color="blue", weight=3]; 1187[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];513 -> 1187[label="",style="solid", color="blue", weight=9]; 1187 -> 652[label="",style="solid", color="blue", weight=3]; 1188[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];513 -> 1188[label="",style="solid", color="blue", weight=9]; 1188 -> 653[label="",style="solid", color="blue", weight=3]; 1189[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];513 -> 1189[label="",style="solid", color="blue", weight=9]; 1189 -> 654[label="",style="solid", color="blue", weight=3]; 1190[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];513 -> 1190[label="",style="solid", color="blue", weight=9]; 1190 -> 655[label="",style="solid", color="blue", weight=3]; 1191[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];513 -> 1191[label="",style="solid", color="blue", weight=9]; 1191 -> 656[label="",style="solid", color="blue", weight=3]; 1192[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];513 -> 1192[label="",style="solid", color="blue", weight=9]; 1192 -> 657[label="",style="solid", color="blue", weight=3]; 1193[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];513 -> 1193[label="",style="solid", color="blue", weight=9]; 1193 -> 658[label="",style="solid", color="blue", weight=3]; 1194[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];513 -> 1194[label="",style="solid", color="blue", weight=9]; 1194 -> 659[label="",style="solid", color="blue", weight=3]; 1195[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];513 -> 1195[label="",style="solid", color="blue", weight=9]; 1195 -> 660[label="",style="solid", color="blue", weight=3]; 1196[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];513 -> 1196[label="",style="solid", color="blue", weight=9]; 1196 -> 661[label="",style="solid", color="blue", weight=3]; 514 -> 321[label="",style="dashed", color="red", weight=0]; 514[label="xy300 == xy4000",fontsize=16,color="magenta"];514 -> 662[label="",style="dashed", color="magenta", weight=3]; 514 -> 663[label="",style="dashed", color="magenta", weight=3]; 515 -> 322[label="",style="dashed", color="red", weight=0]; 515[label="xy300 == xy4000",fontsize=16,color="magenta"];515 -> 664[label="",style="dashed", color="magenta", weight=3]; 515 -> 665[label="",style="dashed", color="magenta", weight=3]; 516 -> 323[label="",style="dashed", color="red", weight=0]; 516[label="xy300 == xy4000",fontsize=16,color="magenta"];516 -> 666[label="",style="dashed", color="magenta", weight=3]; 516 -> 667[label="",style="dashed", color="magenta", weight=3]; 517 -> 324[label="",style="dashed", color="red", weight=0]; 517[label="xy300 == xy4000",fontsize=16,color="magenta"];517 -> 668[label="",style="dashed", color="magenta", weight=3]; 517 -> 669[label="",style="dashed", color="magenta", weight=3]; 518 -> 325[label="",style="dashed", color="red", weight=0]; 518[label="xy300 == xy4000",fontsize=16,color="magenta"];518 -> 670[label="",style="dashed", color="magenta", weight=3]; 518 -> 671[label="",style="dashed", color="magenta", weight=3]; 519 -> 326[label="",style="dashed", color="red", weight=0]; 519[label="xy300 == xy4000",fontsize=16,color="magenta"];519 -> 672[label="",style="dashed", color="magenta", weight=3]; 519 -> 673[label="",style="dashed", color="magenta", weight=3]; 520 -> 327[label="",style="dashed", color="red", weight=0]; 520[label="xy300 == xy4000",fontsize=16,color="magenta"];520 -> 674[label="",style="dashed", color="magenta", weight=3]; 520 -> 675[label="",style="dashed", color="magenta", weight=3]; 521 -> 328[label="",style="dashed", color="red", weight=0]; 521[label="xy300 == xy4000",fontsize=16,color="magenta"];521 -> 676[label="",style="dashed", color="magenta", weight=3]; 521 -> 677[label="",style="dashed", color="magenta", weight=3]; 522 -> 329[label="",style="dashed", color="red", weight=0]; 522[label="xy300 == xy4000",fontsize=16,color="magenta"];522 -> 678[label="",style="dashed", color="magenta", weight=3]; 522 -> 679[label="",style="dashed", color="magenta", weight=3]; 523 -> 330[label="",style="dashed", color="red", weight=0]; 523[label="xy300 == xy4000",fontsize=16,color="magenta"];523 -> 680[label="",style="dashed", color="magenta", weight=3]; 523 -> 681[label="",style="dashed", color="magenta", weight=3]; 524 -> 331[label="",style="dashed", color="red", weight=0]; 524[label="xy300 == xy4000",fontsize=16,color="magenta"];524 -> 682[label="",style="dashed", color="magenta", weight=3]; 524 -> 683[label="",style="dashed", color="magenta", weight=3]; 525 -> 332[label="",style="dashed", color="red", weight=0]; 525[label="xy300 == xy4000",fontsize=16,color="magenta"];525 -> 684[label="",style="dashed", color="magenta", weight=3]; 525 -> 685[label="",style="dashed", color="magenta", weight=3]; 526 -> 333[label="",style="dashed", color="red", weight=0]; 526[label="xy300 == xy4000",fontsize=16,color="magenta"];526 -> 686[label="",style="dashed", color="magenta", weight=3]; 526 -> 687[label="",style="dashed", color="magenta", weight=3]; 527 -> 334[label="",style="dashed", color="red", weight=0]; 527[label="xy300 == xy4000",fontsize=16,color="magenta"];527 -> 688[label="",style="dashed", color="magenta", weight=3]; 527 -> 689[label="",style="dashed", color="magenta", weight=3]; 528[label="primEqInt (Pos (Succ xy3000)) (Pos xy4000)",fontsize=16,color="burlywood",shape="box"];1197[label="xy4000/Succ xy40000",fontsize=10,color="white",style="solid",shape="box"];528 -> 1197[label="",style="solid", color="burlywood", weight=9]; 1197 -> 690[label="",style="solid", color="burlywood", weight=3]; 1198[label="xy4000/Zero",fontsize=10,color="white",style="solid",shape="box"];528 -> 1198[label="",style="solid", color="burlywood", weight=9]; 1198 -> 691[label="",style="solid", color="burlywood", weight=3]; 529[label="primEqInt (Pos (Succ xy3000)) (Neg xy4000)",fontsize=16,color="black",shape="box"];529 -> 692[label="",style="solid", color="black", weight=3]; 530[label="primEqInt (Pos Zero) (Pos xy4000)",fontsize=16,color="burlywood",shape="box"];1199[label="xy4000/Succ xy40000",fontsize=10,color="white",style="solid",shape="box"];530 -> 1199[label="",style="solid", color="burlywood", weight=9]; 1199 -> 693[label="",style="solid", color="burlywood", weight=3]; 1200[label="xy4000/Zero",fontsize=10,color="white",style="solid",shape="box"];530 -> 1200[label="",style="solid", color="burlywood", weight=9]; 1200 -> 694[label="",style="solid", color="burlywood", weight=3]; 531[label="primEqInt (Pos Zero) (Neg xy4000)",fontsize=16,color="burlywood",shape="box"];1201[label="xy4000/Succ xy40000",fontsize=10,color="white",style="solid",shape="box"];531 -> 1201[label="",style="solid", color="burlywood", weight=9]; 1201 -> 695[label="",style="solid", color="burlywood", weight=3]; 1202[label="xy4000/Zero",fontsize=10,color="white",style="solid",shape="box"];531 -> 1202[label="",style="solid", color="burlywood", weight=9]; 1202 -> 696[label="",style="solid", color="burlywood", weight=3]; 532[label="primEqInt (Neg (Succ xy3000)) (Pos xy4000)",fontsize=16,color="black",shape="box"];532 -> 697[label="",style="solid", color="black", weight=3]; 533[label="primEqInt (Neg (Succ xy3000)) (Neg xy4000)",fontsize=16,color="burlywood",shape="box"];1203[label="xy4000/Succ xy40000",fontsize=10,color="white",style="solid",shape="box"];533 -> 1203[label="",style="solid", color="burlywood", weight=9]; 1203 -> 698[label="",style="solid", color="burlywood", weight=3]; 1204[label="xy4000/Zero",fontsize=10,color="white",style="solid",shape="box"];533 -> 1204[label="",style="solid", color="burlywood", weight=9]; 1204 -> 699[label="",style="solid", color="burlywood", weight=3]; 534[label="primEqInt (Neg Zero) (Pos xy4000)",fontsize=16,color="burlywood",shape="box"];1205[label="xy4000/Succ xy40000",fontsize=10,color="white",style="solid",shape="box"];534 -> 1205[label="",style="solid", color="burlywood", weight=9]; 1205 -> 700[label="",style="solid", color="burlywood", weight=3]; 1206[label="xy4000/Zero",fontsize=10,color="white",style="solid",shape="box"];534 -> 1206[label="",style="solid", color="burlywood", weight=9]; 1206 -> 701[label="",style="solid", color="burlywood", weight=3]; 535[label="primEqInt (Neg Zero) (Neg xy4000)",fontsize=16,color="burlywood",shape="box"];1207[label="xy4000/Succ xy40000",fontsize=10,color="white",style="solid",shape="box"];535 -> 1207[label="",style="solid", color="burlywood", weight=9]; 1207 -> 702[label="",style="solid", color="burlywood", weight=3]; 1208[label="xy4000/Zero",fontsize=10,color="white",style="solid",shape="box"];535 -> 1208[label="",style="solid", color="burlywood", weight=9]; 1208 -> 703[label="",style="solid", color="burlywood", weight=3]; 536[label="primEqNat (Succ xy3000) xy4000",fontsize=16,color="burlywood",shape="box"];1209[label="xy4000/Succ xy40000",fontsize=10,color="white",style="solid",shape="box"];536 -> 1209[label="",style="solid", color="burlywood", weight=9]; 1209 -> 704[label="",style="solid", color="burlywood", weight=3]; 1210[label="xy4000/Zero",fontsize=10,color="white",style="solid",shape="box"];536 -> 1210[label="",style="solid", color="burlywood", weight=9]; 1210 -> 705[label="",style="solid", color="burlywood", weight=3]; 537[label="primEqNat Zero xy4000",fontsize=16,color="burlywood",shape="box"];1211[label="xy4000/Succ xy40000",fontsize=10,color="white",style="solid",shape="box"];537 -> 1211[label="",style="solid", color="burlywood", weight=9]; 1211 -> 706[label="",style="solid", color="burlywood", weight=3]; 1212[label="xy4000/Zero",fontsize=10,color="white",style="solid",shape="box"];537 -> 1212[label="",style="solid", color="burlywood", weight=9]; 1212 -> 707[label="",style="solid", color="burlywood", weight=3]; 538[label="xy300 * xy4001",fontsize=16,color="black",shape="triangle"];538 -> 708[label="",style="solid", color="black", weight=3]; 539 -> 538[label="",style="dashed", color="red", weight=0]; 539[label="xy301 * xy4000",fontsize=16,color="magenta"];539 -> 709[label="",style="dashed", color="magenta", weight=3]; 539 -> 710[label="",style="dashed", color="magenta", weight=3]; 540 -> 538[label="",style="dashed", color="red", weight=0]; 540[label="xy300 * xy4001",fontsize=16,color="magenta"];540 -> 711[label="",style="dashed", color="magenta", weight=3]; 540 -> 712[label="",style="dashed", color="magenta", weight=3]; 541 -> 538[label="",style="dashed", color="red", weight=0]; 541[label="xy301 * xy4000",fontsize=16,color="magenta"];541 -> 713[label="",style="dashed", color="magenta", weight=3]; 541 -> 714[label="",style="dashed", color="magenta", weight=3]; 542 -> 331[label="",style="dashed", color="red", weight=0]; 542[label="xy300 == xy4000",fontsize=16,color="magenta"];542 -> 715[label="",style="dashed", color="magenta", weight=3]; 542 -> 716[label="",style="dashed", color="magenta", weight=3]; 543 -> 334[label="",style="dashed", color="red", weight=0]; 543[label="xy300 == xy4000",fontsize=16,color="magenta"];543 -> 717[label="",style="dashed", color="magenta", weight=3]; 543 -> 718[label="",style="dashed", color="magenta", weight=3]; 544 -> 331[label="",style="dashed", color="red", weight=0]; 544[label="xy301 == xy4001",fontsize=16,color="magenta"];544 -> 719[label="",style="dashed", color="magenta", weight=3]; 544 -> 720[label="",style="dashed", color="magenta", weight=3]; 545 -> 334[label="",style="dashed", color="red", weight=0]; 545[label="xy301 == xy4001",fontsize=16,color="magenta"];545 -> 721[label="",style="dashed", color="magenta", weight=3]; 545 -> 722[label="",style="dashed", color="magenta", weight=3]; 546 -> 321[label="",style="dashed", color="red", weight=0]; 546[label="xy300 == xy4000",fontsize=16,color="magenta"];546 -> 723[label="",style="dashed", color="magenta", weight=3]; 546 -> 724[label="",style="dashed", color="magenta", weight=3]; 547 -> 322[label="",style="dashed", color="red", weight=0]; 547[label="xy300 == xy4000",fontsize=16,color="magenta"];547 -> 725[label="",style="dashed", color="magenta", weight=3]; 547 -> 726[label="",style="dashed", color="magenta", weight=3]; 548 -> 323[label="",style="dashed", color="red", weight=0]; 548[label="xy300 == xy4000",fontsize=16,color="magenta"];548 -> 727[label="",style="dashed", color="magenta", weight=3]; 548 -> 728[label="",style="dashed", color="magenta", weight=3]; 549 -> 324[label="",style="dashed", color="red", weight=0]; 549[label="xy300 == xy4000",fontsize=16,color="magenta"];549 -> 729[label="",style="dashed", color="magenta", weight=3]; 549 -> 730[label="",style="dashed", color="magenta", weight=3]; 550 -> 325[label="",style="dashed", color="red", weight=0]; 550[label="xy300 == xy4000",fontsize=16,color="magenta"];550 -> 731[label="",style="dashed", color="magenta", weight=3]; 550 -> 732[label="",style="dashed", color="magenta", weight=3]; 551 -> 326[label="",style="dashed", color="red", weight=0]; 551[label="xy300 == xy4000",fontsize=16,color="magenta"];551 -> 733[label="",style="dashed", color="magenta", weight=3]; 551 -> 734[label="",style="dashed", color="magenta", weight=3]; 552 -> 327[label="",style="dashed", color="red", weight=0]; 552[label="xy300 == xy4000",fontsize=16,color="magenta"];552 -> 735[label="",style="dashed", color="magenta", weight=3]; 552 -> 736[label="",style="dashed", color="magenta", weight=3]; 553 -> 328[label="",style="dashed", color="red", weight=0]; 553[label="xy300 == xy4000",fontsize=16,color="magenta"];553 -> 737[label="",style="dashed", color="magenta", weight=3]; 553 -> 738[label="",style="dashed", color="magenta", weight=3]; 554 -> 329[label="",style="dashed", color="red", weight=0]; 554[label="xy300 == xy4000",fontsize=16,color="magenta"];554 -> 739[label="",style="dashed", color="magenta", weight=3]; 554 -> 740[label="",style="dashed", color="magenta", weight=3]; 555 -> 330[label="",style="dashed", color="red", weight=0]; 555[label="xy300 == xy4000",fontsize=16,color="magenta"];555 -> 741[label="",style="dashed", color="magenta", weight=3]; 555 -> 742[label="",style="dashed", color="magenta", weight=3]; 556 -> 331[label="",style="dashed", color="red", weight=0]; 556[label="xy300 == xy4000",fontsize=16,color="magenta"];556 -> 743[label="",style="dashed", color="magenta", weight=3]; 556 -> 744[label="",style="dashed", color="magenta", weight=3]; 557 -> 332[label="",style="dashed", color="red", weight=0]; 557[label="xy300 == xy4000",fontsize=16,color="magenta"];557 -> 745[label="",style="dashed", color="magenta", weight=3]; 557 -> 746[label="",style="dashed", color="magenta", weight=3]; 558 -> 333[label="",style="dashed", color="red", weight=0]; 558[label="xy300 == xy4000",fontsize=16,color="magenta"];558 -> 747[label="",style="dashed", color="magenta", weight=3]; 558 -> 748[label="",style="dashed", color="magenta", weight=3]; 559 -> 334[label="",style="dashed", color="red", weight=0]; 559[label="xy300 == xy4000",fontsize=16,color="magenta"];559 -> 749[label="",style="dashed", color="magenta", weight=3]; 559 -> 750[label="",style="dashed", color="magenta", weight=3]; 560[label="xy301 == xy4001",fontsize=16,color="blue",shape="box"];1213[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];560 -> 1213[label="",style="solid", color="blue", weight=9]; 1213 -> 751[label="",style="solid", color="blue", weight=3]; 1214[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];560 -> 1214[label="",style="solid", color="blue", weight=9]; 1214 -> 752[label="",style="solid", color="blue", weight=3]; 1215[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];560 -> 1215[label="",style="solid", color="blue", weight=9]; 1215 -> 753[label="",style="solid", color="blue", weight=3]; 1216[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];560 -> 1216[label="",style="solid", color="blue", weight=9]; 1216 -> 754[label="",style="solid", color="blue", weight=3]; 1217[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];560 -> 1217[label="",style="solid", color="blue", weight=9]; 1217 -> 755[label="",style="solid", color="blue", weight=3]; 1218[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];560 -> 1218[label="",style="solid", color="blue", weight=9]; 1218 -> 756[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"];560 -> 1219[label="",style="solid", color="blue", weight=9]; 1219 -> 757[label="",style="solid", color="blue", weight=3]; 1220[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];560 -> 1220[label="",style="solid", color="blue", weight=9]; 1220 -> 758[label="",style="solid", color="blue", weight=3]; 1221[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];560 -> 1221[label="",style="solid", color="blue", weight=9]; 1221 -> 759[label="",style="solid", color="blue", weight=3]; 1222[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];560 -> 1222[label="",style="solid", color="blue", weight=9]; 1222 -> 760[label="",style="solid", color="blue", weight=3]; 1223[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];560 -> 1223[label="",style="solid", color="blue", weight=9]; 1223 -> 761[label="",style="solid", color="blue", weight=3]; 1224[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];560 -> 1224[label="",style="solid", color="blue", weight=9]; 1224 -> 762[label="",style="solid", color="blue", weight=3]; 1225[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];560 -> 1225[label="",style="solid", color="blue", weight=9]; 1225 -> 763[label="",style="solid", color="blue", weight=3]; 1226[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];560 -> 1226[label="",style="solid", color="blue", weight=9]; 1226 -> 764[label="",style="solid", color="blue", weight=3]; 561[label="xy302 == xy4002",fontsize=16,color="blue",shape="box"];1227[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];561 -> 1227[label="",style="solid", color="blue", weight=9]; 1227 -> 765[label="",style="solid", color="blue", weight=3]; 1228[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];561 -> 1228[label="",style="solid", color="blue", weight=9]; 1228 -> 766[label="",style="solid", color="blue", weight=3]; 1229[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];561 -> 1229[label="",style="solid", color="blue", weight=9]; 1229 -> 767[label="",style="solid", color="blue", weight=3]; 1230[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];561 -> 1230[label="",style="solid", color="blue", weight=9]; 1230 -> 768[label="",style="solid", color="blue", weight=3]; 1231[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];561 -> 1231[label="",style="solid", color="blue", weight=9]; 1231 -> 769[label="",style="solid", color="blue", weight=3]; 1232[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];561 -> 1232[label="",style="solid", color="blue", weight=9]; 1232 -> 770[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"];561 -> 1233[label="",style="solid", color="blue", weight=9]; 1233 -> 771[label="",style="solid", color="blue", weight=3]; 1234[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];561 -> 1234[label="",style="solid", color="blue", weight=9]; 1234 -> 772[label="",style="solid", color="blue", weight=3]; 1235[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];561 -> 1235[label="",style="solid", color="blue", weight=9]; 1235 -> 773[label="",style="solid", color="blue", weight=3]; 1236[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];561 -> 1236[label="",style="solid", color="blue", weight=9]; 1236 -> 774[label="",style="solid", color="blue", weight=3]; 1237[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];561 -> 1237[label="",style="solid", color="blue", weight=9]; 1237 -> 775[label="",style="solid", color="blue", weight=3]; 1238[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];561 -> 1238[label="",style="solid", color="blue", weight=9]; 1238 -> 776[label="",style="solid", color="blue", weight=3]; 1239[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];561 -> 1239[label="",style="solid", color="blue", weight=9]; 1239 -> 777[label="",style="solid", color="blue", weight=3]; 1240[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];561 -> 1240[label="",style="solid", color="blue", weight=9]; 1240 -> 778[label="",style="solid", color="blue", weight=3]; 562 -> 321[label="",style="dashed", color="red", weight=0]; 562[label="xy300 == xy4000",fontsize=16,color="magenta"];562 -> 779[label="",style="dashed", color="magenta", weight=3]; 562 -> 780[label="",style="dashed", color="magenta", weight=3]; 563 -> 322[label="",style="dashed", color="red", weight=0]; 563[label="xy300 == xy4000",fontsize=16,color="magenta"];563 -> 781[label="",style="dashed", color="magenta", weight=3]; 563 -> 782[label="",style="dashed", color="magenta", weight=3]; 564 -> 323[label="",style="dashed", color="red", weight=0]; 564[label="xy300 == xy4000",fontsize=16,color="magenta"];564 -> 783[label="",style="dashed", color="magenta", weight=3]; 564 -> 784[label="",style="dashed", color="magenta", weight=3]; 565 -> 324[label="",style="dashed", color="red", weight=0]; 565[label="xy300 == xy4000",fontsize=16,color="magenta"];565 -> 785[label="",style="dashed", color="magenta", weight=3]; 565 -> 786[label="",style="dashed", color="magenta", weight=3]; 566 -> 325[label="",style="dashed", color="red", weight=0]; 566[label="xy300 == xy4000",fontsize=16,color="magenta"];566 -> 787[label="",style="dashed", color="magenta", weight=3]; 566 -> 788[label="",style="dashed", color="magenta", weight=3]; 567 -> 326[label="",style="dashed", color="red", weight=0]; 567[label="xy300 == xy4000",fontsize=16,color="magenta"];567 -> 789[label="",style="dashed", color="magenta", weight=3]; 567 -> 790[label="",style="dashed", color="magenta", weight=3]; 568 -> 327[label="",style="dashed", color="red", weight=0]; 568[label="xy300 == xy4000",fontsize=16,color="magenta"];568 -> 791[label="",style="dashed", color="magenta", weight=3]; 568 -> 792[label="",style="dashed", color="magenta", weight=3]; 569 -> 328[label="",style="dashed", color="red", weight=0]; 569[label="xy300 == xy4000",fontsize=16,color="magenta"];569 -> 793[label="",style="dashed", color="magenta", weight=3]; 569 -> 794[label="",style="dashed", color="magenta", weight=3]; 570 -> 329[label="",style="dashed", color="red", weight=0]; 570[label="xy300 == xy4000",fontsize=16,color="magenta"];570 -> 795[label="",style="dashed", color="magenta", weight=3]; 570 -> 796[label="",style="dashed", color="magenta", weight=3]; 571 -> 330[label="",style="dashed", color="red", weight=0]; 571[label="xy300 == xy4000",fontsize=16,color="magenta"];571 -> 797[label="",style="dashed", color="magenta", weight=3]; 571 -> 798[label="",style="dashed", color="magenta", weight=3]; 572 -> 331[label="",style="dashed", color="red", weight=0]; 572[label="xy300 == xy4000",fontsize=16,color="magenta"];572 -> 799[label="",style="dashed", color="magenta", weight=3]; 572 -> 800[label="",style="dashed", color="magenta", weight=3]; 573 -> 332[label="",style="dashed", color="red", weight=0]; 573[label="xy300 == xy4000",fontsize=16,color="magenta"];573 -> 801[label="",style="dashed", color="magenta", weight=3]; 573 -> 802[label="",style="dashed", color="magenta", weight=3]; 574 -> 333[label="",style="dashed", color="red", weight=0]; 574[label="xy300 == xy4000",fontsize=16,color="magenta"];574 -> 803[label="",style="dashed", color="magenta", weight=3]; 574 -> 804[label="",style="dashed", color="magenta", weight=3]; 575 -> 334[label="",style="dashed", color="red", weight=0]; 575[label="xy300 == xy4000",fontsize=16,color="magenta"];575 -> 805[label="",style="dashed", color="magenta", weight=3]; 575 -> 806[label="",style="dashed", color="magenta", weight=3]; 576[label="xy301",fontsize=16,color="green",shape="box"];577[label="xy4001",fontsize=16,color="green",shape="box"];578[label="xy300",fontsize=16,color="green",shape="box"];579[label="xy4000",fontsize=16,color="green",shape="box"];580[label="xy300",fontsize=16,color="green",shape="box"];581[label="xy4000",fontsize=16,color="green",shape="box"];582[label="xy300",fontsize=16,color="green",shape="box"];583[label="xy4000",fontsize=16,color="green",shape="box"];584[label="xy300",fontsize=16,color="green",shape="box"];585[label="xy4000",fontsize=16,color="green",shape="box"];586[label="xy300",fontsize=16,color="green",shape="box"];587[label="xy4000",fontsize=16,color="green",shape="box"];588[label="xy300",fontsize=16,color="green",shape="box"];589[label="xy4000",fontsize=16,color="green",shape="box"];590[label="xy300",fontsize=16,color="green",shape="box"];591[label="xy4000",fontsize=16,color="green",shape="box"];592[label="xy300",fontsize=16,color="green",shape="box"];593[label="xy4000",fontsize=16,color="green",shape="box"];594[label="xy300",fontsize=16,color="green",shape="box"];595[label="xy4000",fontsize=16,color="green",shape="box"];596[label="xy300",fontsize=16,color="green",shape="box"];597[label="xy4000",fontsize=16,color="green",shape="box"];598[label="xy300",fontsize=16,color="green",shape="box"];599[label="xy4000",fontsize=16,color="green",shape="box"];600[label="xy300",fontsize=16,color="green",shape="box"];601[label="xy4000",fontsize=16,color="green",shape="box"];602[label="xy300",fontsize=16,color="green",shape="box"];603[label="xy4000",fontsize=16,color="green",shape="box"];604[label="xy300",fontsize=16,color="green",shape="box"];605[label="xy4000",fontsize=16,color="green",shape="box"];606[label="xy300",fontsize=16,color="green",shape="box"];607[label="xy4000",fontsize=16,color="green",shape="box"];608[label="xy300",fontsize=16,color="green",shape="box"];609[label="xy4000",fontsize=16,color="green",shape="box"];610[label="xy300",fontsize=16,color="green",shape="box"];611[label="xy4000",fontsize=16,color="green",shape="box"];612[label="xy300",fontsize=16,color="green",shape="box"];613[label="xy4000",fontsize=16,color="green",shape="box"];614[label="xy300",fontsize=16,color="green",shape="box"];615[label="xy4000",fontsize=16,color="green",shape="box"];616[label="xy300",fontsize=16,color="green",shape="box"];617[label="xy4000",fontsize=16,color="green",shape="box"];618[label="xy300",fontsize=16,color="green",shape="box"];619[label="xy4000",fontsize=16,color="green",shape="box"];620[label="xy300",fontsize=16,color="green",shape="box"];621[label="xy4000",fontsize=16,color="green",shape="box"];622[label="xy300",fontsize=16,color="green",shape="box"];623[label="xy4000",fontsize=16,color="green",shape="box"];624[label="xy300",fontsize=16,color="green",shape="box"];625[label="xy4000",fontsize=16,color="green",shape="box"];626[label="xy300",fontsize=16,color="green",shape="box"];627[label="xy4000",fontsize=16,color="green",shape="box"];628[label="xy300",fontsize=16,color="green",shape="box"];629[label="xy4000",fontsize=16,color="green",shape="box"];630[label="xy300",fontsize=16,color="green",shape="box"];631[label="xy4000",fontsize=16,color="green",shape="box"];632[label="xy300",fontsize=16,color="green",shape="box"];633[label="xy4000",fontsize=16,color="green",shape="box"];634 -> 321[label="",style="dashed", color="red", weight=0]; 634[label="xy300 == xy4000",fontsize=16,color="magenta"];634 -> 807[label="",style="dashed", color="magenta", weight=3]; 634 -> 808[label="",style="dashed", color="magenta", weight=3]; 635 -> 322[label="",style="dashed", color="red", weight=0]; 635[label="xy300 == xy4000",fontsize=16,color="magenta"];635 -> 809[label="",style="dashed", color="magenta", weight=3]; 635 -> 810[label="",style="dashed", color="magenta", weight=3]; 636 -> 323[label="",style="dashed", color="red", weight=0]; 636[label="xy300 == xy4000",fontsize=16,color="magenta"];636 -> 811[label="",style="dashed", color="magenta", weight=3]; 636 -> 812[label="",style="dashed", color="magenta", weight=3]; 637 -> 324[label="",style="dashed", color="red", weight=0]; 637[label="xy300 == xy4000",fontsize=16,color="magenta"];637 -> 813[label="",style="dashed", color="magenta", weight=3]; 637 -> 814[label="",style="dashed", color="magenta", weight=3]; 638 -> 325[label="",style="dashed", color="red", weight=0]; 638[label="xy300 == xy4000",fontsize=16,color="magenta"];638 -> 815[label="",style="dashed", color="magenta", weight=3]; 638 -> 816[label="",style="dashed", color="magenta", weight=3]; 639 -> 326[label="",style="dashed", color="red", weight=0]; 639[label="xy300 == xy4000",fontsize=16,color="magenta"];639 -> 817[label="",style="dashed", color="magenta", weight=3]; 639 -> 818[label="",style="dashed", color="magenta", weight=3]; 640 -> 327[label="",style="dashed", color="red", weight=0]; 640[label="xy300 == xy4000",fontsize=16,color="magenta"];640 -> 819[label="",style="dashed", color="magenta", weight=3]; 640 -> 820[label="",style="dashed", color="magenta", weight=3]; 641 -> 328[label="",style="dashed", color="red", weight=0]; 641[label="xy300 == xy4000",fontsize=16,color="magenta"];641 -> 821[label="",style="dashed", color="magenta", weight=3]; 641 -> 822[label="",style="dashed", color="magenta", weight=3]; 642 -> 329[label="",style="dashed", color="red", weight=0]; 642[label="xy300 == xy4000",fontsize=16,color="magenta"];642 -> 823[label="",style="dashed", color="magenta", weight=3]; 642 -> 824[label="",style="dashed", color="magenta", weight=3]; 643 -> 330[label="",style="dashed", color="red", weight=0]; 643[label="xy300 == xy4000",fontsize=16,color="magenta"];643 -> 825[label="",style="dashed", color="magenta", weight=3]; 643 -> 826[label="",style="dashed", color="magenta", weight=3]; 644 -> 331[label="",style="dashed", color="red", weight=0]; 644[label="xy300 == xy4000",fontsize=16,color="magenta"];644 -> 827[label="",style="dashed", color="magenta", weight=3]; 644 -> 828[label="",style="dashed", color="magenta", weight=3]; 645 -> 332[label="",style="dashed", color="red", weight=0]; 645[label="xy300 == xy4000",fontsize=16,color="magenta"];645 -> 829[label="",style="dashed", color="magenta", weight=3]; 645 -> 830[label="",style="dashed", color="magenta", weight=3]; 646 -> 333[label="",style="dashed", color="red", weight=0]; 646[label="xy300 == xy4000",fontsize=16,color="magenta"];646 -> 831[label="",style="dashed", color="magenta", weight=3]; 646 -> 832[label="",style="dashed", color="magenta", weight=3]; 647 -> 334[label="",style="dashed", color="red", weight=0]; 647[label="xy300 == xy4000",fontsize=16,color="magenta"];647 -> 833[label="",style="dashed", color="magenta", weight=3]; 647 -> 834[label="",style="dashed", color="magenta", weight=3]; 648 -> 321[label="",style="dashed", color="red", weight=0]; 648[label="xy301 == xy4001",fontsize=16,color="magenta"];648 -> 835[label="",style="dashed", color="magenta", weight=3]; 648 -> 836[label="",style="dashed", color="magenta", weight=3]; 649 -> 322[label="",style="dashed", color="red", weight=0]; 649[label="xy301 == xy4001",fontsize=16,color="magenta"];649 -> 837[label="",style="dashed", color="magenta", weight=3]; 649 -> 838[label="",style="dashed", color="magenta", weight=3]; 650 -> 323[label="",style="dashed", color="red", weight=0]; 650[label="xy301 == xy4001",fontsize=16,color="magenta"];650 -> 839[label="",style="dashed", color="magenta", weight=3]; 650 -> 840[label="",style="dashed", color="magenta", weight=3]; 651 -> 324[label="",style="dashed", color="red", weight=0]; 651[label="xy301 == xy4001",fontsize=16,color="magenta"];651 -> 841[label="",style="dashed", color="magenta", weight=3]; 651 -> 842[label="",style="dashed", color="magenta", weight=3]; 652 -> 325[label="",style="dashed", color="red", weight=0]; 652[label="xy301 == xy4001",fontsize=16,color="magenta"];652 -> 843[label="",style="dashed", color="magenta", weight=3]; 652 -> 844[label="",style="dashed", color="magenta", weight=3]; 653 -> 326[label="",style="dashed", color="red", weight=0]; 653[label="xy301 == xy4001",fontsize=16,color="magenta"];653 -> 845[label="",style="dashed", color="magenta", weight=3]; 653 -> 846[label="",style="dashed", color="magenta", weight=3]; 654 -> 327[label="",style="dashed", color="red", weight=0]; 654[label="xy301 == xy4001",fontsize=16,color="magenta"];654 -> 847[label="",style="dashed", color="magenta", weight=3]; 654 -> 848[label="",style="dashed", color="magenta", weight=3]; 655 -> 328[label="",style="dashed", color="red", weight=0]; 655[label="xy301 == xy4001",fontsize=16,color="magenta"];655 -> 849[label="",style="dashed", color="magenta", weight=3]; 655 -> 850[label="",style="dashed", color="magenta", weight=3]; 656 -> 329[label="",style="dashed", color="red", weight=0]; 656[label="xy301 == xy4001",fontsize=16,color="magenta"];656 -> 851[label="",style="dashed", color="magenta", weight=3]; 656 -> 852[label="",style="dashed", color="magenta", weight=3]; 657 -> 330[label="",style="dashed", color="red", weight=0]; 657[label="xy301 == xy4001",fontsize=16,color="magenta"];657 -> 853[label="",style="dashed", color="magenta", weight=3]; 657 -> 854[label="",style="dashed", color="magenta", weight=3]; 658 -> 331[label="",style="dashed", color="red", weight=0]; 658[label="xy301 == xy4001",fontsize=16,color="magenta"];658 -> 855[label="",style="dashed", color="magenta", weight=3]; 658 -> 856[label="",style="dashed", color="magenta", weight=3]; 659 -> 332[label="",style="dashed", color="red", weight=0]; 659[label="xy301 == xy4001",fontsize=16,color="magenta"];659 -> 857[label="",style="dashed", color="magenta", weight=3]; 659 -> 858[label="",style="dashed", color="magenta", weight=3]; 660 -> 333[label="",style="dashed", color="red", weight=0]; 660[label="xy301 == xy4001",fontsize=16,color="magenta"];660 -> 859[label="",style="dashed", color="magenta", weight=3]; 660 -> 860[label="",style="dashed", color="magenta", weight=3]; 661 -> 334[label="",style="dashed", color="red", weight=0]; 661[label="xy301 == xy4001",fontsize=16,color="magenta"];661 -> 861[label="",style="dashed", color="magenta", weight=3]; 661 -> 862[label="",style="dashed", color="magenta", weight=3]; 662[label="xy300",fontsize=16,color="green",shape="box"];663[label="xy4000",fontsize=16,color="green",shape="box"];664[label="xy300",fontsize=16,color="green",shape="box"];665[label="xy4000",fontsize=16,color="green",shape="box"];666[label="xy300",fontsize=16,color="green",shape="box"];667[label="xy4000",fontsize=16,color="green",shape="box"];668[label="xy300",fontsize=16,color="green",shape="box"];669[label="xy4000",fontsize=16,color="green",shape="box"];670[label="xy300",fontsize=16,color="green",shape="box"];671[label="xy4000",fontsize=16,color="green",shape="box"];672[label="xy300",fontsize=16,color="green",shape="box"];673[label="xy4000",fontsize=16,color="green",shape="box"];674[label="xy300",fontsize=16,color="green",shape="box"];675[label="xy4000",fontsize=16,color="green",shape="box"];676[label="xy300",fontsize=16,color="green",shape="box"];677[label="xy4000",fontsize=16,color="green",shape="box"];678[label="xy300",fontsize=16,color="green",shape="box"];679[label="xy4000",fontsize=16,color="green",shape="box"];680[label="xy300",fontsize=16,color="green",shape="box"];681[label="xy4000",fontsize=16,color="green",shape="box"];682[label="xy300",fontsize=16,color="green",shape="box"];683[label="xy4000",fontsize=16,color="green",shape="box"];684[label="xy300",fontsize=16,color="green",shape="box"];685[label="xy4000",fontsize=16,color="green",shape="box"];686[label="xy300",fontsize=16,color="green",shape="box"];687[label="xy4000",fontsize=16,color="green",shape="box"];688[label="xy300",fontsize=16,color="green",shape="box"];689[label="xy4000",fontsize=16,color="green",shape="box"];690[label="primEqInt (Pos (Succ xy3000)) (Pos (Succ xy40000))",fontsize=16,color="black",shape="box"];690 -> 863[label="",style="solid", color="black", weight=3]; 691[label="primEqInt (Pos (Succ xy3000)) (Pos Zero)",fontsize=16,color="black",shape="box"];691 -> 864[label="",style="solid", color="black", weight=3]; 692[label="False",fontsize=16,color="green",shape="box"];693[label="primEqInt (Pos Zero) (Pos (Succ xy40000))",fontsize=16,color="black",shape="box"];693 -> 865[label="",style="solid", color="black", weight=3]; 694[label="primEqInt (Pos Zero) (Pos Zero)",fontsize=16,color="black",shape="box"];694 -> 866[label="",style="solid", color="black", weight=3]; 695[label="primEqInt (Pos Zero) (Neg (Succ xy40000))",fontsize=16,color="black",shape="box"];695 -> 867[label="",style="solid", color="black", weight=3]; 696[label="primEqInt (Pos Zero) (Neg Zero)",fontsize=16,color="black",shape="box"];696 -> 868[label="",style="solid", color="black", weight=3]; 697[label="False",fontsize=16,color="green",shape="box"];698[label="primEqInt (Neg (Succ xy3000)) (Neg (Succ xy40000))",fontsize=16,color="black",shape="box"];698 -> 869[label="",style="solid", color="black", weight=3]; 699[label="primEqInt (Neg (Succ xy3000)) (Neg Zero)",fontsize=16,color="black",shape="box"];699 -> 870[label="",style="solid", color="black", weight=3]; 700[label="primEqInt (Neg Zero) (Pos (Succ xy40000))",fontsize=16,color="black",shape="box"];700 -> 871[label="",style="solid", color="black", weight=3]; 701[label="primEqInt (Neg Zero) (Pos Zero)",fontsize=16,color="black",shape="box"];701 -> 872[label="",style="solid", color="black", weight=3]; 702[label="primEqInt (Neg Zero) (Neg (Succ xy40000))",fontsize=16,color="black",shape="box"];702 -> 873[label="",style="solid", color="black", weight=3]; 703[label="primEqInt (Neg Zero) (Neg Zero)",fontsize=16,color="black",shape="box"];703 -> 874[label="",style="solid", color="black", weight=3]; 704[label="primEqNat (Succ xy3000) (Succ xy40000)",fontsize=16,color="black",shape="box"];704 -> 875[label="",style="solid", color="black", weight=3]; 705[label="primEqNat (Succ xy3000) Zero",fontsize=16,color="black",shape="box"];705 -> 876[label="",style="solid", color="black", weight=3]; 706[label="primEqNat Zero (Succ xy40000)",fontsize=16,color="black",shape="box"];706 -> 877[label="",style="solid", color="black", weight=3]; 707[label="primEqNat Zero Zero",fontsize=16,color="black",shape="box"];707 -> 878[label="",style="solid", color="black", weight=3]; 708[label="primMulInt xy300 xy4001",fontsize=16,color="burlywood",shape="box"];1241[label="xy300/Pos xy3000",fontsize=10,color="white",style="solid",shape="box"];708 -> 1241[label="",style="solid", color="burlywood", weight=9]; 1241 -> 879[label="",style="solid", color="burlywood", weight=3]; 1242[label="xy300/Neg xy3000",fontsize=10,color="white",style="solid",shape="box"];708 -> 1242[label="",style="solid", color="burlywood", weight=9]; 1242 -> 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709[label="xy4000",fontsize=16,color="green",shape="box"];710[label="xy301",fontsize=16,color="green",shape="box"];711[label="xy4001",fontsize=16,color="green",shape="box"];712[label="xy300",fontsize=16,color="green",shape="box"];713[label="xy4000",fontsize=16,color="green",shape="box"];714[label="xy301",fontsize=16,color="green",shape="box"];715[label="xy300",fontsize=16,color="green",shape="box"];716[label="xy4000",fontsize=16,color="green",shape="box"];717[label="xy300",fontsize=16,color="green",shape="box"];718[label="xy4000",fontsize=16,color="green",shape="box"];719[label="xy301",fontsize=16,color="green",shape="box"];720[label="xy4001",fontsize=16,color="green",shape="box"];721[label="xy301",fontsize=16,color="green",shape="box"];722[label="xy4001",fontsize=16,color="green",shape="box"];723[label="xy300",fontsize=16,color="green",shape="box"];724[label="xy4000",fontsize=16,color="green",shape="box"];725[label="xy300",fontsize=16,color="green",shape="box"];726[label="xy4000",fontsize=16,color="green",shape="box"];727[label="xy300",fontsize=16,color="green",shape="box"];728[label="xy4000",fontsize=16,color="green",shape="box"];729[label="xy300",fontsize=16,color="green",shape="box"];730[label="xy4000",fontsize=16,color="green",shape="box"];731[label="xy300",fontsize=16,color="green",shape="box"];732[label="xy4000",fontsize=16,color="green",shape="box"];733[label="xy300",fontsize=16,color="green",shape="box"];734[label="xy4000",fontsize=16,color="green",shape="box"];735[label="xy300",fontsize=16,color="green",shape="box"];736[label="xy4000",fontsize=16,color="green",shape="box"];737[label="xy300",fontsize=16,color="green",shape="box"];738[label="xy4000",fontsize=16,color="green",shape="box"];739[label="xy300",fontsize=16,color="green",shape="box"];740[label="xy4000",fontsize=16,color="green",shape="box"];741[label="xy300",fontsize=16,color="green",shape="box"];742[label="xy4000",fontsize=16,color="green",shape="box"];743[label="xy300",fontsize=16,color="green",shape="box"];744[label="xy4000",fontsize=16,color="green",shape="box"];745[label="xy300",fontsize=16,color="green",shape="box"];746[label="xy4000",fontsize=16,color="green",shape="box"];747[label="xy300",fontsize=16,color="green",shape="box"];748[label="xy4000",fontsize=16,color="green",shape="box"];749[label="xy300",fontsize=16,color="green",shape="box"];750[label="xy4000",fontsize=16,color="green",shape="box"];751 -> 321[label="",style="dashed", color="red", weight=0]; 751[label="xy301 == xy4001",fontsize=16,color="magenta"];751 -> 881[label="",style="dashed", color="magenta", weight=3]; 751 -> 882[label="",style="dashed", color="magenta", weight=3]; 752 -> 322[label="",style="dashed", color="red", weight=0]; 752[label="xy301 == xy4001",fontsize=16,color="magenta"];752 -> 883[label="",style="dashed", color="magenta", weight=3]; 752 -> 884[label="",style="dashed", color="magenta", weight=3]; 753 -> 323[label="",style="dashed", color="red", weight=0]; 753[label="xy301 == xy4001",fontsize=16,color="magenta"];753 -> 885[label="",style="dashed", color="magenta", weight=3]; 753 -> 886[label="",style="dashed", color="magenta", weight=3]; 754 -> 324[label="",style="dashed", color="red", weight=0]; 754[label="xy301 == xy4001",fontsize=16,color="magenta"];754 -> 887[label="",style="dashed", color="magenta", weight=3]; 754 -> 888[label="",style="dashed", color="magenta", weight=3]; 755 -> 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331[label="",style="dashed", color="red", weight=0]; 775[label="xy302 == xy4002",fontsize=16,color="magenta"];775 -> 929[label="",style="dashed", color="magenta", weight=3]; 775 -> 930[label="",style="dashed", color="magenta", weight=3]; 776 -> 332[label="",style="dashed", color="red", weight=0]; 776[label="xy302 == xy4002",fontsize=16,color="magenta"];776 -> 931[label="",style="dashed", color="magenta", weight=3]; 776 -> 932[label="",style="dashed", color="magenta", weight=3]; 777 -> 333[label="",style="dashed", color="red", weight=0]; 777[label="xy302 == xy4002",fontsize=16,color="magenta"];777 -> 933[label="",style="dashed", color="magenta", weight=3]; 777 -> 934[label="",style="dashed", color="magenta", weight=3]; 778 -> 334[label="",style="dashed", color="red", weight=0]; 778[label="xy302 == xy4002",fontsize=16,color="magenta"];778 -> 935[label="",style="dashed", color="magenta", weight=3]; 778 -> 936[label="",style="dashed", color="magenta", weight=3]; 779[label="xy300",fontsize=16,color="green",shape="box"];780[label="xy4000",fontsize=16,color="green",shape="box"];781[label="xy300",fontsize=16,color="green",shape="box"];782[label="xy4000",fontsize=16,color="green",shape="box"];783[label="xy300",fontsize=16,color="green",shape="box"];784[label="xy4000",fontsize=16,color="green",shape="box"];785[label="xy300",fontsize=16,color="green",shape="box"];786[label="xy4000",fontsize=16,color="green",shape="box"];787[label="xy300",fontsize=16,color="green",shape="box"];788[label="xy4000",fontsize=16,color="green",shape="box"];789[label="xy300",fontsize=16,color="green",shape="box"];790[label="xy4000",fontsize=16,color="green",shape="box"];791[label="xy300",fontsize=16,color="green",shape="box"];792[label="xy4000",fontsize=16,color="green",shape="box"];793[label="xy300",fontsize=16,color="green",shape="box"];794[label="xy4000",fontsize=16,color="green",shape="box"];795[label="xy300",fontsize=16,color="green",shape="box"];796[label="xy4000",fontsize=16,color="green",shape="box"];797[label="xy300",fontsize=16,color="green",shape="box"];798[label="xy4000",fontsize=16,color="green",shape="box"];799[label="xy300",fontsize=16,color="green",shape="box"];800[label="xy4000",fontsize=16,color="green",shape="box"];801[label="xy300",fontsize=16,color="green",shape="box"];802[label="xy4000",fontsize=16,color="green",shape="box"];803[label="xy300",fontsize=16,color="green",shape="box"];804[label="xy4000",fontsize=16,color="green",shape="box"];805[label="xy300",fontsize=16,color="green",shape="box"];806[label="xy4000",fontsize=16,color="green",shape="box"];807[label="xy300",fontsize=16,color="green",shape="box"];808[label="xy4000",fontsize=16,color="green",shape="box"];809[label="xy300",fontsize=16,color="green",shape="box"];810[label="xy4000",fontsize=16,color="green",shape="box"];811[label="xy300",fontsize=16,color="green",shape="box"];812[label="xy4000",fontsize=16,color="green",shape="box"];813[label="xy300",fontsize=16,color="green",shape="box"];814[label="xy4000",fontsize=16,color="green",shape="box"];815[label="xy300",fontsize=16,color="green",shape="box"];816[label="xy4000",fontsize=16,color="green",shape="box"];817[label="xy300",fontsize=16,color="green",shape="box"];818[label="xy4000",fontsize=16,color="green",shape="box"];819[label="xy300",fontsize=16,color="green",shape="box"];820[label="xy4000",fontsize=16,color="green",shape="box"];821[label="xy300",fontsize=16,color="green",shape="box"];822[label="xy4000",fontsize=16,color="green",shape="box"];823[label="xy300",fontsize=16,color="green",shape="box"];824[label="xy4000",fontsize=16,color="green",shape="box"];825[label="xy300",fontsize=16,color="green",shape="box"];826[label="xy4000",fontsize=16,color="green",shape="box"];827[label="xy300",fontsize=16,color="green",shape="box"];828[label="xy4000",fontsize=16,color="green",shape="box"];829[label="xy300",fontsize=16,color="green",shape="box"];830[label="xy4000",fontsize=16,color="green",shape="box"];831[label="xy300",fontsize=16,color="green",shape="box"];832[label="xy4000",fontsize=16,color="green",shape="box"];833[label="xy300",fontsize=16,color="green",shape="box"];834[label="xy4000",fontsize=16,color="green",shape="box"];835[label="xy301",fontsize=16,color="green",shape="box"];836[label="xy4001",fontsize=16,color="green",shape="box"];837[label="xy301",fontsize=16,color="green",shape="box"];838[label="xy4001",fontsize=16,color="green",shape="box"];839[label="xy301",fontsize=16,color="green",shape="box"];840[label="xy4001",fontsize=16,color="green",shape="box"];841[label="xy301",fontsize=16,color="green",shape="box"];842[label="xy4001",fontsize=16,color="green",shape="box"];843[label="xy301",fontsize=16,color="green",shape="box"];844[label="xy4001",fontsize=16,color="green",shape="box"];845[label="xy301",fontsize=16,color="green",shape="box"];846[label="xy4001",fontsize=16,color="green",shape="box"];847[label="xy301",fontsize=16,color="green",shape="box"];848[label="xy4001",fontsize=16,color="green",shape="box"];849[label="xy301",fontsize=16,color="green",shape="box"];850[label="xy4001",fontsize=16,color="green",shape="box"];851[label="xy301",fontsize=16,color="green",shape="box"];852[label="xy4001",fontsize=16,color="green",shape="box"];853[label="xy301",fontsize=16,color="green",shape="box"];854[label="xy4001",fontsize=16,color="green",shape="box"];855[label="xy301",fontsize=16,color="green",shape="box"];856[label="xy4001",fontsize=16,color="green",shape="box"];857[label="xy301",fontsize=16,color="green",shape="box"];858[label="xy4001",fontsize=16,color="green",shape="box"];859[label="xy301",fontsize=16,color="green",shape="box"];860[label="xy4001",fontsize=16,color="green",shape="box"];861[label="xy301",fontsize=16,color="green",shape="box"];862[label="xy4001",fontsize=16,color="green",shape="box"];863 -> 473[label="",style="dashed", color="red", weight=0]; 863[label="primEqNat xy3000 xy40000",fontsize=16,color="magenta"];863 -> 937[label="",style="dashed", color="magenta", weight=3]; 863 -> 938[label="",style="dashed", color="magenta", weight=3]; 864[label="False",fontsize=16,color="green",shape="box"];865[label="False",fontsize=16,color="green",shape="box"];866[label="True",fontsize=16,color="green",shape="box"];867[label="False",fontsize=16,color="green",shape="box"];868[label="True",fontsize=16,color="green",shape="box"];869 -> 473[label="",style="dashed", color="red", weight=0]; 869[label="primEqNat xy3000 xy40000",fontsize=16,color="magenta"];869 -> 939[label="",style="dashed", color="magenta", weight=3]; 869 -> 940[label="",style="dashed", color="magenta", weight=3]; 870[label="False",fontsize=16,color="green",shape="box"];871[label="False",fontsize=16,color="green",shape="box"];872[label="True",fontsize=16,color="green",shape="box"];873[label="False",fontsize=16,color="green",shape="box"];874[label="True",fontsize=16,color="green",shape="box"];875 -> 473[label="",style="dashed", color="red", weight=0]; 875[label="primEqNat xy3000 xy40000",fontsize=16,color="magenta"];875 -> 941[label="",style="dashed", color="magenta", weight=3]; 875 -> 942[label="",style="dashed", color="magenta", weight=3]; 876[label="False",fontsize=16,color="green",shape="box"];877[label="False",fontsize=16,color="green",shape="box"];878[label="True",fontsize=16,color="green",shape="box"];879[label="primMulInt (Pos xy3000) xy4001",fontsize=16,color="burlywood",shape="box"];1243[label="xy4001/Pos xy40010",fontsize=10,color="white",style="solid",shape="box"];879 -> 1243[label="",style="solid", color="burlywood", weight=9]; 1243 -> 943[label="",style="solid", color="burlywood", weight=3]; 1244[label="xy4001/Neg xy40010",fontsize=10,color="white",style="solid",shape="box"];879 -> 1244[label="",style="solid", color="burlywood", weight=9]; 1244 -> 944[label="",style="solid", color="burlywood", weight=3]; 880[label="primMulInt (Neg xy3000) xy4001",fontsize=16,color="burlywood",shape="box"];1245[label="xy4001/Pos xy40010",fontsize=10,color="white",style="solid",shape="box"];880 -> 1245[label="",style="solid", color="burlywood", weight=9]; 1245 -> 945[label="",style="solid", color="burlywood", weight=3]; 1246[label="xy4001/Neg xy40010",fontsize=10,color="white",style="solid",shape="box"];880 -> 1246[label="",style="solid", color="burlywood", weight=9]; 1246 -> 946[label="",style="solid", color="burlywood", weight=3]; 881[label="xy301",fontsize=16,color="green",shape="box"];882[label="xy4001",fontsize=16,color="green",shape="box"];883[label="xy301",fontsize=16,color="green",shape="box"];884[label="xy4001",fontsize=16,color="green",shape="box"];885[label="xy301",fontsize=16,color="green",shape="box"];886[label="xy4001",fontsize=16,color="green",shape="box"];887[label="xy301",fontsize=16,color="green",shape="box"];888[label="xy4001",fontsize=16,color="green",shape="box"];889[label="xy301",fontsize=16,color="green",shape="box"];890[label="xy4001",fontsize=16,color="green",shape="box"];891[label="xy301",fontsize=16,color="green",shape="box"];892[label="xy4001",fontsize=16,color="green",shape="box"];893[label="xy301",fontsize=16,color="green",shape="box"];894[label="xy4001",fontsize=16,color="green",shape="box"];895[label="xy301",fontsize=16,color="green",shape="box"];896[label="xy4001",fontsize=16,color="green",shape="box"];897[label="xy301",fontsize=16,color="green",shape="box"];898[label="xy4001",fontsize=16,color="green",shape="box"];899[label="xy301",fontsize=16,color="green",shape="box"];900[label="xy4001",fontsize=16,color="green",shape="box"];901[label="xy301",fontsize=16,color="green",shape="box"];902[label="xy4001",fontsize=16,color="green",shape="box"];903[label="xy301",fontsize=16,color="green",shape="box"];904[label="xy4001",fontsize=16,color="green",shape="box"];905[label="xy301",fontsize=16,color="green",shape="box"];906[label="xy4001",fontsize=16,color="green",shape="box"];907[label="xy301",fontsize=16,color="green",shape="box"];908[label="xy4001",fontsize=16,color="green",shape="box"];909[label="xy302",fontsize=16,color="green",shape="box"];910[label="xy4002",fontsize=16,color="green",shape="box"];911[label="xy302",fontsize=16,color="green",shape="box"];912[label="xy4002",fontsize=16,color="green",shape="box"];913[label="xy302",fontsize=16,color="green",shape="box"];914[label="xy4002",fontsize=16,color="green",shape="box"];915[label="xy302",fontsize=16,color="green",shape="box"];916[label="xy4002",fontsize=16,color="green",shape="box"];917[label="xy302",fontsize=16,color="green",shape="box"];918[label="xy4002",fontsize=16,color="green",shape="box"];919[label="xy302",fontsize=16,color="green",shape="box"];920[label="xy4002",fontsize=16,color="green",shape="box"];921[label="xy302",fontsize=16,color="green",shape="box"];922[label="xy4002",fontsize=16,color="green",shape="box"];923[label="xy302",fontsize=16,color="green",shape="box"];924[label="xy4002",fontsize=16,color="green",shape="box"];925[label="xy302",fontsize=16,color="green",shape="box"];926[label="xy4002",fontsize=16,color="green",shape="box"];927[label="xy302",fontsize=16,color="green",shape="box"];928[label="xy4002",fontsize=16,color="green",shape="box"];929[label="xy302",fontsize=16,color="green",shape="box"];930[label="xy4002",fontsize=16,color="green",shape="box"];931[label="xy302",fontsize=16,color="green",shape="box"];932[label="xy4002",fontsize=16,color="green",shape="box"];933[label="xy302",fontsize=16,color="green",shape="box"];934[label="xy4002",fontsize=16,color="green",shape="box"];935[label="xy302",fontsize=16,color="green",shape="box"];936[label="xy4002",fontsize=16,color="green",shape="box"];937[label="xy3000",fontsize=16,color="green",shape="box"];938[label="xy40000",fontsize=16,color="green",shape="box"];939[label="xy3000",fontsize=16,color="green",shape="box"];940[label="xy40000",fontsize=16,color="green",shape="box"];941[label="xy3000",fontsize=16,color="green",shape="box"];942[label="xy40000",fontsize=16,color="green",shape="box"];943[label="primMulInt (Pos xy3000) (Pos xy40010)",fontsize=16,color="black",shape="box"];943 -> 947[label="",style="solid", color="black", weight=3]; 944[label="primMulInt (Pos xy3000) (Neg xy40010)",fontsize=16,color="black",shape="box"];944 -> 948[label="",style="solid", color="black", weight=3]; 945[label="primMulInt (Neg xy3000) (Pos xy40010)",fontsize=16,color="black",shape="box"];945 -> 949[label="",style="solid", color="black", weight=3]; 946[label="primMulInt (Neg xy3000) (Neg xy40010)",fontsize=16,color="black",shape="box"];946 -> 950[label="",style="solid", color="black", weight=3]; 947[label="Pos (primMulNat xy3000 xy40010)",fontsize=16,color="green",shape="box"];947 -> 951[label="",style="dashed", color="green", weight=3]; 948[label="Neg (primMulNat xy3000 xy40010)",fontsize=16,color="green",shape="box"];948 -> 952[label="",style="dashed", color="green", weight=3]; 949[label="Neg (primMulNat xy3000 xy40010)",fontsize=16,color="green",shape="box"];949 -> 953[label="",style="dashed", color="green", weight=3]; 950[label="Pos (primMulNat xy3000 xy40010)",fontsize=16,color="green",shape="box"];950 -> 954[label="",style="dashed", color="green", weight=3]; 951[label="primMulNat xy3000 xy40010",fontsize=16,color="burlywood",shape="triangle"];1247[label="xy3000/Succ xy30000",fontsize=10,color="white",style="solid",shape="box"];951 -> 1247[label="",style="solid", color="burlywood", weight=9]; 1247 -> 955[label="",style="solid", color="burlywood", weight=3]; 1248[label="xy3000/Zero",fontsize=10,color="white",style="solid",shape="box"];951 -> 1248[label="",style="solid", color="burlywood", weight=9]; 1248 -> 956[label="",style="solid", color="burlywood", weight=3]; 952 -> 951[label="",style="dashed", color="red", weight=0]; 952[label="primMulNat xy3000 xy40010",fontsize=16,color="magenta"];952 -> 957[label="",style="dashed", color="magenta", weight=3]; 953 -> 951[label="",style="dashed", color="red", weight=0]; 953[label="primMulNat xy3000 xy40010",fontsize=16,color="magenta"];953 -> 958[label="",style="dashed", color="magenta", weight=3]; 954 -> 951[label="",style="dashed", color="red", weight=0]; 954[label="primMulNat xy3000 xy40010",fontsize=16,color="magenta"];954 -> 959[label="",style="dashed", color="magenta", weight=3]; 954 -> 960[label="",style="dashed", color="magenta", weight=3]; 955[label="primMulNat (Succ xy30000) xy40010",fontsize=16,color="burlywood",shape="box"];1249[label="xy40010/Succ xy400100",fontsize=10,color="white",style="solid",shape="box"];955 -> 1249[label="",style="solid", color="burlywood", weight=9]; 1249 -> 961[label="",style="solid", color="burlywood", weight=3]; 1250[label="xy40010/Zero",fontsize=10,color="white",style="solid",shape="box"];955 -> 1250[label="",style="solid", color="burlywood", weight=9]; 1250 -> 962[label="",style="solid", color="burlywood", weight=3]; 956[label="primMulNat Zero xy40010",fontsize=16,color="burlywood",shape="box"];1251[label="xy40010/Succ xy400100",fontsize=10,color="white",style="solid",shape="box"];956 -> 1251[label="",style="solid", color="burlywood", weight=9]; 1251 -> 963[label="",style="solid", color="burlywood", weight=3]; 1252[label="xy40010/Zero",fontsize=10,color="white",style="solid",shape="box"];956 -> 1252[label="",style="solid", color="burlywood", weight=9]; 1252 -> 964[label="",style="solid", color="burlywood", weight=3]; 957[label="xy40010",fontsize=16,color="green",shape="box"];958[label="xy3000",fontsize=16,color="green",shape="box"];959[label="xy3000",fontsize=16,color="green",shape="box"];960[label="xy40010",fontsize=16,color="green",shape="box"];961[label="primMulNat (Succ xy30000) (Succ xy400100)",fontsize=16,color="black",shape="box"];961 -> 965[label="",style="solid", color="black", weight=3]; 962[label="primMulNat (Succ xy30000) Zero",fontsize=16,color="black",shape="box"];962 -> 966[label="",style="solid", color="black", weight=3]; 963[label="primMulNat Zero (Succ xy400100)",fontsize=16,color="black",shape="box"];963 -> 967[label="",style="solid", color="black", weight=3]; 964[label="primMulNat Zero Zero",fontsize=16,color="black",shape="box"];964 -> 968[label="",style="solid", color="black", weight=3]; 965 -> 969[label="",style="dashed", color="red", weight=0]; 965[label="primPlusNat (primMulNat xy30000 (Succ xy400100)) (Succ xy400100)",fontsize=16,color="magenta"];965 -> 970[label="",style="dashed", color="magenta", weight=3]; 966[label="Zero",fontsize=16,color="green",shape="box"];967[label="Zero",fontsize=16,color="green",shape="box"];968[label="Zero",fontsize=16,color="green",shape="box"];970 -> 951[label="",style="dashed", color="red", weight=0]; 970[label="primMulNat xy30000 (Succ xy400100)",fontsize=16,color="magenta"];970 -> 971[label="",style="dashed", color="magenta", weight=3]; 970 -> 972[label="",style="dashed", color="magenta", weight=3]; 969[label="primPlusNat xy44 (Succ xy400100)",fontsize=16,color="burlywood",shape="triangle"];1253[label="xy44/Succ xy440",fontsize=10,color="white",style="solid",shape="box"];969 -> 1253[label="",style="solid", color="burlywood", weight=9]; 1253 -> 973[label="",style="solid", color="burlywood", weight=3]; 1254[label="xy44/Zero",fontsize=10,color="white",style="solid",shape="box"];969 -> 1254[label="",style="solid", color="burlywood", weight=9]; 1254 -> 974[label="",style="solid", color="burlywood", weight=3]; 971[label="xy30000",fontsize=16,color="green",shape="box"];972[label="Succ xy400100",fontsize=16,color="green",shape="box"];973[label="primPlusNat (Succ xy440) (Succ xy400100)",fontsize=16,color="black",shape="box"];973 -> 975[label="",style="solid", color="black", weight=3]; 974[label="primPlusNat Zero (Succ xy400100)",fontsize=16,color="black",shape="box"];974 -> 976[label="",style="solid", color="black", weight=3]; 975[label="Succ (Succ (primPlusNat xy440 xy400100))",fontsize=16,color="green",shape="box"];975 -> 977[label="",style="dashed", color="green", weight=3]; 976[label="Succ xy400100",fontsize=16,color="green",shape="box"];977[label="primPlusNat xy440 xy400100",fontsize=16,color="burlywood",shape="triangle"];1255[label="xy440/Succ xy4400",fontsize=10,color="white",style="solid",shape="box"];977 -> 1255[label="",style="solid", color="burlywood", weight=9]; 1255 -> 978[label="",style="solid", color="burlywood", weight=3]; 1256[label="xy440/Zero",fontsize=10,color="white",style="solid",shape="box"];977 -> 1256[label="",style="solid", color="burlywood", weight=9]; 1256 -> 979[label="",style="solid", color="burlywood", weight=3]; 978[label="primPlusNat (Succ xy4400) xy400100",fontsize=16,color="burlywood",shape="box"];1257[label="xy400100/Succ xy4001000",fontsize=10,color="white",style="solid",shape="box"];978 -> 1257[label="",style="solid", color="burlywood", weight=9]; 1257 -> 980[label="",style="solid", color="burlywood", weight=3]; 1258[label="xy400100/Zero",fontsize=10,color="white",style="solid",shape="box"];978 -> 1258[label="",style="solid", color="burlywood", weight=9]; 1258 -> 981[label="",style="solid", color="burlywood", weight=3]; 979[label="primPlusNat Zero xy400100",fontsize=16,color="burlywood",shape="box"];1259[label="xy400100/Succ xy4001000",fontsize=10,color="white",style="solid",shape="box"];979 -> 1259[label="",style="solid", color="burlywood", weight=9]; 1259 -> 982[label="",style="solid", color="burlywood", weight=3]; 1260[label="xy400100/Zero",fontsize=10,color="white",style="solid",shape="box"];979 -> 1260[label="",style="solid", color="burlywood", weight=9]; 1260 -> 983[label="",style="solid", color="burlywood", weight=3]; 980[label="primPlusNat (Succ xy4400) (Succ xy4001000)",fontsize=16,color="black",shape="box"];980 -> 984[label="",style="solid", color="black", weight=3]; 981[label="primPlusNat (Succ xy4400) Zero",fontsize=16,color="black",shape="box"];981 -> 985[label="",style="solid", color="black", weight=3]; 982[label="primPlusNat Zero (Succ xy4001000)",fontsize=16,color="black",shape="box"];982 -> 986[label="",style="solid", color="black", weight=3]; 983[label="primPlusNat Zero Zero",fontsize=16,color="black",shape="box"];983 -> 987[label="",style="solid", color="black", weight=3]; 984[label="Succ (Succ (primPlusNat xy4400 xy4001000))",fontsize=16,color="green",shape="box"];984 -> 988[label="",style="dashed", color="green", weight=3]; 985[label="Succ xy4400",fontsize=16,color="green",shape="box"];986[label="Succ xy4001000",fontsize=16,color="green",shape="box"];987[label="Zero",fontsize=16,color="green",shape="box"];988 -> 977[label="",style="dashed", color="red", weight=0]; 988[label="primPlusNat xy4400 xy4001000",fontsize=16,color="magenta"];988 -> 989[label="",style="dashed", color="magenta", weight=3]; 988 -> 990[label="",style="dashed", color="magenta", weight=3]; 989[label="xy4001000",fontsize=16,color="green",shape="box"];990[label="xy4400",fontsize=16,color="green",shape="box"];} ---------------------------------------- (8) Complex Obligation (AND) ---------------------------------------- (9) Obligation: Q DP problem: The TRS P consists of the following rules: new_esEs(@3(xy300, xy301, xy302), @3(xy4000, xy4001, xy4002), cd, app(app(ty_@2, dd), de), be) -> new_esEs2(xy301, xy4001, dd, de) new_esEs3(Just(xy300), Just(xy4000), app(app(ty_Either, bdg), bdh)) -> new_esEs1(xy300, xy4000, bdg, bdh) new_esEs1(Left(xy300), Left(xy4000), app(app(ty_Either, gh), ha), gf) -> new_esEs1(xy300, xy4000, gh, ha) new_esEs2(@2(xy300, xy301), @2(xy4000, xy4001), bca, app(ty_[], bce)) -> new_esEs0(xy301, xy4001, bce) new_esEs(@3(xy300, xy301, xy302), @3(xy4000, xy4001, xy4002), cd, app(ty_[], da), be) -> new_esEs0(xy301, xy4001, da) new_esEs(@3(xy300, xy301, xy302), @3(xy4000, xy4001, xy4002), cd, bd, app(app(ty_@2, ee), ef)) -> new_esEs2(xy302, xy4002, ee, ef) new_esEs1(Right(xy300), Right(xy4000), he, app(ty_[], baa)) -> new_esEs0(xy300, xy4000, baa) new_esEs1(Right(xy300), Right(xy4000), he, app(ty_Maybe, baf)) -> new_esEs3(xy300, xy4000, baf) new_esEs(@3(xy300, xy301, xy302), @3(xy4000, xy4001, xy4002), cd, bd, app(ty_[], eb)) -> new_esEs0(xy302, xy4002, eb) new_esEs(@3(xy300, xy301, xy302), @3(xy4000, xy4001, xy4002), cd, bd, app(app(app(ty_@3, dg), dh), ea)) -> new_esEs(xy302, xy4002, dg, dh, ea) new_esEs2(@2(xy300, xy301), @2(xy4000, xy4001), bca, app(ty_Maybe, bdb)) -> new_esEs3(xy301, xy4001, bdb) new_esEs2(@2(xy300, xy301), @2(xy4000, xy4001), bca, app(app(ty_@2, bch), bda)) -> new_esEs2(xy301, xy4001, bch, bda) new_esEs0(:(xy300, xy301), :(xy4000, xy4001), app(app(ty_@2, fg), fh)) -> new_esEs2(xy300, xy4000, fg, fh) new_esEs2(@2(xy300, xy301), @2(xy4000, xy4001), app(ty_[], bbc), bbb) -> new_esEs0(xy300, xy4000, bbc) new_esEs2(@2(xy300, xy301), @2(xy4000, xy4001), app(app(app(ty_@3, bag), bah), bba), bbb) -> new_esEs(xy300, xy4000, bag, bah, bba) new_esEs2(@2(xy300, xy301), @2(xy4000, xy4001), app(ty_Maybe, bbh), bbb) -> new_esEs3(xy300, xy4000, bbh) new_esEs3(Just(xy300), Just(xy4000), app(ty_Maybe, bec)) -> new_esEs3(xy300, xy4000, bec) new_esEs3(Just(xy300), Just(xy4000), app(app(app(ty_@3, bdc), bdd), bde)) -> new_esEs(xy300, xy4000, bdc, bdd, bde) new_esEs1(Left(xy300), Left(xy4000), app(ty_[], gg), gf) -> new_esEs0(xy300, xy4000, gg) new_esEs0(:(xy300, xy301), :(xy4000, xy4001), app(app(ty_Either, fd), ff)) -> new_esEs1(xy300, xy4000, fd, ff) new_esEs0(:(xy300, xy301), :(xy4000, xy4001), app(ty_[], fc)) -> new_esEs0(xy300, xy4000, fc) new_esEs3(Just(xy300), Just(xy4000), app(ty_[], bdf)) -> new_esEs0(xy300, xy4000, bdf) new_esEs1(Left(xy300), Left(xy4000), app(ty_Maybe, hd), gf) -> new_esEs3(xy300, xy4000, hd) new_esEs2(@2(xy300, xy301), @2(xy4000, xy4001), app(app(ty_@2, bbf), bbg), bbb) -> new_esEs2(xy300, xy4000, bbf, bbg) new_esEs(@3(xy300, xy301, xy302), @3(xy4000, xy4001, xy4002), cd, app(app(app(ty_@3, ce), cf), cg), be) -> new_esEs(xy301, xy4001, ce, cf, cg) new_esEs1(Right(xy300), Right(xy4000), he, app(app(ty_@2, bad), bae)) -> new_esEs2(xy300, xy4000, bad, bae) new_esEs1(Left(xy300), Left(xy4000), app(app(app(ty_@3, gc), gd), ge), gf) -> new_esEs(xy300, xy4000, gc, gd, ge) new_esEs0(:(xy300, xy301), :(xy4000, xy4001), gb) -> new_esEs0(xy301, xy4001, gb) new_esEs(@3(xy300, xy301, xy302), @3(xy4000, xy4001, xy4002), app(app(ty_@2, ca), cb), bd, be) -> new_esEs2(xy300, xy4000, ca, cb) new_esEs(@3(xy300, xy301, xy302), @3(xy4000, xy4001, xy4002), cd, app(app(ty_Either, db), dc), be) -> new_esEs1(xy301, xy4001, db, dc) new_esEs3(Just(xy300), Just(xy4000), app(app(ty_@2, bea), beb)) -> new_esEs2(xy300, xy4000, bea, beb) new_esEs(@3(xy300, xy301, xy302), @3(xy4000, xy4001, xy4002), cd, bd, app(app(ty_Either, ec), ed)) -> new_esEs1(xy302, xy4002, ec, ed) new_esEs2(@2(xy300, xy301), @2(xy4000, xy4001), bca, app(app(app(ty_@3, bcb), bcc), bcd)) -> new_esEs(xy301, xy4001, bcb, bcc, bcd) new_esEs(@3(xy300, xy301, xy302), @3(xy4000, xy4001, xy4002), app(app(ty_Either, bg), bh), bd, be) -> new_esEs1(xy300, xy4000, bg, bh) new_esEs0(:(xy300, xy301), :(xy4000, xy4001), app(ty_Maybe, ga)) -> new_esEs3(xy300, xy4000, ga) new_esEs(@3(xy300, xy301, xy302), @3(xy4000, xy4001, xy4002), app(app(app(ty_@3, ba), bb), bc), bd, be) -> new_esEs(xy300, xy4000, ba, bb, bc) new_esEs1(Left(xy300), Left(xy4000), app(app(ty_@2, hb), hc), gf) -> new_esEs2(xy300, xy4000, hb, hc) new_esEs1(Right(xy300), Right(xy4000), he, app(app(app(ty_@3, hf), hg), hh)) -> new_esEs(xy300, xy4000, hf, hg, hh) new_esEs(@3(xy300, xy301, xy302), @3(xy4000, xy4001, xy4002), cd, bd, app(ty_Maybe, eg)) -> new_esEs3(xy302, xy4002, eg) new_esEs0(:(xy300, xy301), :(xy4000, xy4001), app(app(app(ty_@3, eh), fa), fb)) -> new_esEs(xy300, xy4000, eh, fa, fb) new_esEs2(@2(xy300, xy301), @2(xy4000, xy4001), app(app(ty_Either, bbd), bbe), bbb) -> new_esEs1(xy300, xy4000, bbd, bbe) new_esEs(@3(xy300, xy301, xy302), @3(xy4000, xy4001, xy4002), cd, app(ty_Maybe, df), be) -> new_esEs3(xy301, xy4001, df) new_esEs1(Right(xy300), Right(xy4000), he, app(app(ty_Either, bab), bac)) -> new_esEs1(xy300, xy4000, bab, bac) new_esEs2(@2(xy300, xy301), @2(xy4000, xy4001), bca, app(app(ty_Either, bcf), bcg)) -> new_esEs1(xy301, xy4001, bcf, bcg) new_esEs(@3(xy300, xy301, xy302), @3(xy4000, xy4001, xy4002), app(ty_Maybe, cc), bd, be) -> new_esEs3(xy300, xy4000, cc) new_esEs(@3(xy300, xy301, xy302), @3(xy4000, xy4001, xy4002), app(ty_[], bf), bd, be) -> new_esEs0(xy300, xy4000, bf) R is empty. Q is empty. We have to consider all minimal (P,Q,R)-chains. ---------------------------------------- (10) QDPSizeChangeProof (EQUIVALENT) By using the subterm criterion [SUBTERM_CRITERION] together with the size-change analysis [AAECC05] we have proven that there are no infinite chains for this DP problem. From the DPs we obtained the following set of size-change graphs: *new_esEs0(:(xy300, xy301), :(xy4000, xy4001), app(app(app(ty_@3, eh), fa), fb)) -> new_esEs(xy300, xy4000, eh, fa, fb) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 *new_esEs0(:(xy300, xy301), :(xy4000, xy4001), app(ty_Maybe, ga)) -> new_esEs3(xy300, xy4000, ga) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs0(:(xy300, xy301), :(xy4000, xy4001), app(app(ty_Either, fd), ff)) -> new_esEs1(xy300, xy4000, fd, ff) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs0(:(xy300, xy301), :(xy4000, xy4001), app(app(ty_@2, fg), fh)) -> new_esEs2(xy300, xy4000, fg, fh) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs3(Just(xy300), Just(xy4000), app(app(app(ty_@3, bdc), bdd), bde)) -> new_esEs(xy300, xy4000, bdc, bdd, bde) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 *new_esEs3(Just(xy300), Just(xy4000), app(ty_Maybe, bec)) -> new_esEs3(xy300, xy4000, bec) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs3(Just(xy300), Just(xy4000), app(app(ty_Either, bdg), bdh)) -> new_esEs1(xy300, xy4000, bdg, bdh) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs3(Just(xy300), Just(xy4000), app(app(ty_@2, bea), beb)) -> new_esEs2(xy300, xy4000, bea, beb) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs3(Just(xy300), Just(xy4000), app(ty_[], bdf)) -> new_esEs0(xy300, xy4000, bdf) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs2(@2(xy300, xy301), @2(xy4000, xy4001), app(app(app(ty_@3, bag), bah), bba), bbb) -> new_esEs(xy300, xy4000, bag, bah, bba) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 *new_esEs2(@2(xy300, xy301), @2(xy4000, xy4001), bca, app(app(app(ty_@3, bcb), bcc), bcd)) -> new_esEs(xy301, xy4001, bcb, bcc, bcd) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4, 4 > 5 *new_esEs2(@2(xy300, xy301), @2(xy4000, xy4001), bca, app(ty_Maybe, bdb)) -> new_esEs3(xy301, xy4001, bdb) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 *new_esEs2(@2(xy300, xy301), @2(xy4000, xy4001), app(ty_Maybe, bbh), bbb) -> new_esEs3(xy300, xy4000, bbh) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs2(@2(xy300, xy301), @2(xy4000, xy4001), app(app(ty_Either, bbd), bbe), bbb) -> new_esEs1(xy300, xy4000, bbd, bbe) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs2(@2(xy300, xy301), @2(xy4000, xy4001), bca, app(app(ty_Either, bcf), bcg)) -> new_esEs1(xy301, xy4001, bcf, bcg) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 *new_esEs2(@2(xy300, xy301), @2(xy4000, xy4001), bca, app(app(ty_@2, bch), bda)) -> new_esEs2(xy301, xy4001, bch, bda) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 *new_esEs2(@2(xy300, xy301), @2(xy4000, xy4001), app(app(ty_@2, bbf), bbg), bbb) -> new_esEs2(xy300, xy4000, bbf, bbg) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs2(@2(xy300, xy301), @2(xy4000, xy4001), bca, app(ty_[], bce)) -> new_esEs0(xy301, xy4001, bce) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 *new_esEs2(@2(xy300, xy301), @2(xy4000, xy4001), app(ty_[], bbc), bbb) -> new_esEs0(xy300, xy4000, bbc) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs1(Left(xy300), Left(xy4000), app(app(app(ty_@3, gc), gd), ge), gf) -> new_esEs(xy300, xy4000, gc, gd, ge) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 *new_esEs1(Right(xy300), Right(xy4000), he, app(app(app(ty_@3, hf), hg), hh)) -> new_esEs(xy300, xy4000, hf, hg, hh) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4, 4 > 5 *new_esEs(@3(xy300, xy301, xy302), @3(xy4000, xy4001, xy4002), cd, bd, app(app(app(ty_@3, dg), dh), ea)) -> new_esEs(xy302, xy4002, dg, dh, ea) The graph contains the following edges 1 > 1, 2 > 2, 5 > 3, 5 > 4, 5 > 5 *new_esEs(@3(xy300, xy301, xy302), @3(xy4000, xy4001, xy4002), cd, app(app(app(ty_@3, ce), cf), cg), be) -> new_esEs(xy301, xy4001, ce, cf, cg) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4, 4 > 5 *new_esEs(@3(xy300, xy301, xy302), @3(xy4000, xy4001, xy4002), app(app(app(ty_@3, ba), bb), bc), bd, be) -> new_esEs(xy300, xy4000, ba, bb, bc) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 *new_esEs1(Right(xy300), Right(xy4000), he, app(ty_Maybe, baf)) -> new_esEs3(xy300, xy4000, baf) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 *new_esEs1(Left(xy300), Left(xy4000), app(ty_Maybe, hd), gf) -> new_esEs3(xy300, xy4000, hd) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs1(Left(xy300), Left(xy4000), app(app(ty_Either, gh), ha), gf) -> new_esEs1(xy300, xy4000, gh, ha) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs1(Right(xy300), Right(xy4000), he, app(app(ty_Either, bab), bac)) -> new_esEs1(xy300, xy4000, bab, bac) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 *new_esEs1(Right(xy300), Right(xy4000), he, app(app(ty_@2, bad), bae)) -> new_esEs2(xy300, xy4000, bad, bae) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 *new_esEs1(Left(xy300), Left(xy4000), app(app(ty_@2, hb), hc), gf) -> new_esEs2(xy300, xy4000, hb, hc) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs1(Right(xy300), Right(xy4000), he, app(ty_[], baa)) -> new_esEs0(xy300, xy4000, baa) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 *new_esEs1(Left(xy300), Left(xy4000), app(ty_[], gg), gf) -> new_esEs0(xy300, xy4000, gg) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs(@3(xy300, xy301, xy302), @3(xy4000, xy4001, xy4002), cd, bd, app(ty_Maybe, eg)) -> new_esEs3(xy302, xy4002, eg) The graph contains the following edges 1 > 1, 2 > 2, 5 > 3 *new_esEs(@3(xy300, xy301, xy302), @3(xy4000, xy4001, xy4002), cd, app(ty_Maybe, df), be) -> new_esEs3(xy301, xy4001, df) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 *new_esEs(@3(xy300, xy301, xy302), @3(xy4000, xy4001, xy4002), app(ty_Maybe, cc), bd, be) -> new_esEs3(xy300, xy4000, cc) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs(@3(xy300, xy301, xy302), @3(xy4000, xy4001, xy4002), cd, app(app(ty_Either, db), dc), be) -> new_esEs1(xy301, xy4001, db, dc) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 *new_esEs(@3(xy300, xy301, xy302), @3(xy4000, xy4001, xy4002), cd, bd, app(app(ty_Either, ec), ed)) -> new_esEs1(xy302, xy4002, ec, ed) The graph contains the following edges 1 > 1, 2 > 2, 5 > 3, 5 > 4 *new_esEs(@3(xy300, xy301, xy302), @3(xy4000, xy4001, xy4002), app(app(ty_Either, bg), bh), bd, be) -> new_esEs1(xy300, xy4000, bg, bh) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs0(:(xy300, xy301), :(xy4000, xy4001), app(ty_[], fc)) -> new_esEs0(xy300, xy4000, fc) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs0(:(xy300, xy301), :(xy4000, xy4001), gb) -> new_esEs0(xy301, xy4001, gb) The graph contains the following edges 1 > 1, 2 > 2, 3 >= 3 *new_esEs(@3(xy300, xy301, xy302), @3(xy4000, xy4001, xy4002), cd, app(app(ty_@2, dd), de), be) -> new_esEs2(xy301, xy4001, dd, de) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 *new_esEs(@3(xy300, xy301, xy302), @3(xy4000, xy4001, xy4002), cd, bd, app(app(ty_@2, ee), ef)) -> new_esEs2(xy302, xy4002, ee, ef) The graph contains the following edges 1 > 1, 2 > 2, 5 > 3, 5 > 4 *new_esEs(@3(xy300, xy301, xy302), @3(xy4000, xy4001, xy4002), app(app(ty_@2, ca), cb), bd, be) -> new_esEs2(xy300, xy4000, ca, cb) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs(@3(xy300, xy301, xy302), @3(xy4000, xy4001, xy4002), cd, app(ty_[], da), be) -> new_esEs0(xy301, xy4001, da) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 *new_esEs(@3(xy300, xy301, xy302), @3(xy4000, xy4001, xy4002), cd, bd, app(ty_[], eb)) -> new_esEs0(xy302, xy4002, eb) The graph contains the following edges 1 > 1, 2 > 2, 5 > 3 *new_esEs(@3(xy300, xy301, xy302), @3(xy4000, xy4001, xy4002), app(ty_[], bf), bd, be) -> new_esEs0(xy300, xy4000, bf) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 ---------------------------------------- (11) YES ---------------------------------------- (12) Obligation: Q DP problem: The TRS P consists of the following rules: new_deleteBy0(xy25, xy26, xy27, xy28, xy29, False, ba, bb) -> new_deleteBy(@2(xy28, xy29), xy25, ba, bb) new_deleteBy(@2(xy30, xy31), :(@2(xy400, xy401), xy41), bc, bd) -> new_deleteBy0(xy41, xy400, xy401, xy30, xy31, new_asAs(new_esEs4(xy30, xy400, bc), new_esEs5(xy31, xy401, bd)), bc, bd) The TRS R consists of the following rules: new_esEs7(xy300, xy4000, app(app(app(ty_@3, bh), ca), cb)) -> new_esEs15(xy300, xy4000, bh, ca, cb) new_esEs17(Right(xy300), Right(xy4000), fa, ty_Float) -> new_esEs11(xy300, xy4000) new_primEqInt(Pos(Zero), Pos(Zero)) -> True new_esEs24(xy302, xy4002, ty_Int) -> new_esEs21(xy302, xy4002) new_esEs4(xy30, xy400, ty_Float) -> new_esEs11(xy30, xy400) new_esEs23(xy301, xy4001, app(app(ty_@2, bah), bba)) -> new_esEs6(xy301, xy4001, bah, bba) new_esEs7(xy300, xy4000, ty_Double) -> new_esEs13(xy300, xy4000) new_esEs20(Just(xy300), Just(xy4000), app(ty_[], bfe)) -> new_esEs16(xy300, xy4000, bfe) new_esEs20(Just(xy300), Just(xy4000), ty_Integer) -> new_esEs19(xy300, xy4000) new_esEs25(xy300, xy4000, ty_Char) -> new_esEs9(xy300, xy4000) new_esEs7(xy300, xy4000, ty_@0) -> new_esEs18(xy300, xy4000) new_esEs4(xy30, xy400, app(app(ty_@2, be), bf)) -> new_esEs6(xy30, xy400, be, bf) new_esEs4(xy30, xy400, app(ty_Ratio, ed)) -> new_esEs14(xy30, xy400, ed) new_esEs25(xy300, xy4000, ty_Float) -> new_esEs11(xy300, xy4000) new_esEs5(xy31, xy401, ty_Int) -> new_esEs21(xy31, xy401) new_esEs18(@0, @0) -> True new_esEs17(Left(xy300), Left(xy4000), ty_Float, fb) -> new_esEs11(xy300, xy4000) new_esEs17(Right(xy300), Right(xy4000), fa, ty_Char) -> new_esEs9(xy300, xy4000) new_esEs22(xy300, xy4000, ty_Int) -> new_esEs21(xy300, xy4000) new_esEs7(xy300, xy4000, ty_Bool) -> new_esEs12(xy300, xy4000) new_esEs26(xy300, xy4000, ty_Int) -> new_esEs21(xy300, xy4000) new_esEs22(xy300, xy4000, ty_Integer) -> new_esEs19(xy300, xy4000) new_esEs20(Nothing, Just(xy4000), fc) -> False new_esEs20(Just(xy300), Nothing, fc) -> False new_esEs21(xy30, xy400) -> new_primEqInt(xy30, xy400) new_esEs5(xy31, xy401, app(app(app(ty_@3, ff), fg), fh)) -> new_esEs15(xy31, xy401, ff, fg, fh) new_asAs(True, xy43) -> xy43 new_esEs25(xy300, xy4000, app(ty_Ratio, bgc)) -> new_esEs14(xy300, xy4000, bgc) new_esEs17(Left(xy300), Left(xy4000), ty_Ordering, fb) -> new_esEs10(xy300, xy4000) new_esEs8(xy301, xy4001, ty_Char) -> new_esEs9(xy301, xy4001) new_esEs20(Nothing, Nothing, fc) -> True new_esEs20(Just(xy300), Just(xy4000), ty_Char) -> new_esEs9(xy300, xy4000) new_esEs27(xy301, xy4001, ty_Integer) -> new_esEs19(xy301, xy4001) new_esEs7(xy300, xy4000, ty_Int) -> new_esEs21(xy300, xy4000) new_esEs24(xy302, xy4002, app(app(app(ty_@3, bbd), bbe), bbf)) -> new_esEs15(xy302, xy4002, bbd, bbe, bbf) new_esEs17(Right(xy300), Right(xy4000), fa, app(ty_Maybe, beh)) -> new_esEs20(xy300, xy4000, beh) new_esEs5(xy31, xy401, ty_Double) -> new_esEs13(xy31, xy401) new_esEs23(xy301, xy4001, ty_Char) -> new_esEs9(xy301, xy4001) new_primEqInt(Pos(Succ(xy3000)), Pos(Zero)) -> False new_primEqInt(Pos(Zero), Pos(Succ(xy40000))) -> False new_esEs23(xy301, xy4001, app(app(ty_Either, baf), bag)) -> new_esEs17(xy301, xy4001, baf, bag) new_esEs17(Left(xy300), Left(xy4000), ty_Char, fb) -> new_esEs9(xy300, xy4000) new_esEs17(Right(xy300), Right(xy4000), fa, ty_Ordering) -> new_esEs10(xy300, xy4000) new_esEs24(xy302, xy4002, ty_Double) -> new_esEs13(xy302, xy4002) new_primEqNat0(Succ(xy3000), Succ(xy40000)) -> new_primEqNat0(xy3000, xy40000) new_esEs23(xy301, xy4001, app(ty_Ratio, baa)) -> new_esEs14(xy301, xy4001, baa) new_esEs5(xy31, xy401, app(ty_Maybe, gf)) -> new_esEs20(xy31, xy401, gf) new_esEs6(@2(xy300, xy301), @2(xy4000, xy4001), be, bf) -> new_asAs(new_esEs7(xy300, xy4000, be), new_esEs8(xy301, xy4001, bf)) new_esEs10(GT, GT) -> True new_esEs8(xy301, xy4001, app(ty_[], df)) -> new_esEs16(xy301, xy4001, df) new_esEs5(xy31, xy401, ty_Bool) -> new_esEs12(xy31, xy401) new_esEs17(Left(xy300), Left(xy4000), app(ty_Maybe, bdf), fb) -> new_esEs20(xy300, xy4000, bdf) new_esEs13(Double(xy300, xy301), Double(xy4000, xy4001)) -> new_esEs21(new_sr(xy300, xy4001), new_sr(xy301, xy4000)) new_esEs12(False, True) -> False new_esEs12(True, False) -> False new_esEs17(Right(xy300), Right(xy4000), fa, app(ty_Ratio, bdg)) -> new_esEs14(xy300, xy4000, bdg) new_esEs24(xy302, xy4002, app(ty_Maybe, bcd)) -> new_esEs20(xy302, xy4002, bcd) new_esEs7(xy300, xy4000, app(ty_Ratio, bg)) -> new_esEs14(xy300, xy4000, bg) new_primMulNat0(Zero, Zero) -> Zero new_esEs5(xy31, xy401, ty_Integer) -> new_esEs19(xy31, xy401) new_esEs12(True, True) -> True new_esEs25(xy300, xy4000, ty_Ordering) -> new_esEs10(xy300, xy4000) new_esEs24(xy302, xy4002, app(ty_[], bbg)) -> new_esEs16(xy302, xy4002, bbg) new_esEs8(xy301, xy4001, app(app(ty_@2, ea), eb)) -> new_esEs6(xy301, xy4001, ea, eb) new_esEs23(xy301, xy4001, ty_Bool) -> new_esEs12(xy301, xy4001) new_esEs4(xy30, xy400, ty_Bool) -> new_esEs12(xy30, xy400) new_esEs8(xy301, xy4001, app(app(ty_Either, dg), dh)) -> new_esEs17(xy301, xy4001, dg, dh) new_primEqNat0(Succ(xy3000), Zero) -> False new_primEqNat0(Zero, Succ(xy40000)) -> False new_esEs23(xy301, xy4001, ty_Integer) -> new_esEs19(xy301, xy4001) new_esEs17(Right(xy300), Right(xy4000), fa, ty_Double) -> new_esEs13(xy300, xy4000) new_esEs8(xy301, xy4001, ty_Float) -> new_esEs11(xy301, xy4001) new_esEs23(xy301, xy4001, ty_@0) -> new_esEs18(xy301, xy4001) new_esEs8(xy301, xy4001, ty_Int) -> new_esEs21(xy301, xy4001) new_esEs24(xy302, xy4002, ty_Integer) -> new_esEs19(xy302, xy4002) new_esEs17(Left(xy300), Left(xy4000), app(ty_Ratio, bce), fb) -> new_esEs14(xy300, xy4000, bce) new_esEs17(Right(xy300), Right(xy4000), fa, ty_Integer) -> new_esEs19(xy300, xy4000) new_esEs10(EQ, EQ) -> True new_esEs25(xy300, xy4000, ty_Double) -> new_esEs13(xy300, xy4000) new_esEs4(xy30, xy400, ty_Char) -> new_esEs9(xy30, xy400) new_esEs7(xy300, xy4000, app(ty_Maybe, da)) -> new_esEs20(xy300, xy4000, da) new_esEs17(Left(xy300), Left(xy4000), ty_Integer, fb) -> new_esEs19(xy300, xy4000) new_esEs7(xy300, xy4000, ty_Float) -> new_esEs11(xy300, xy4000) new_esEs4(xy30, xy400, app(app(ty_Either, fa), fb)) -> new_esEs17(xy30, xy400, fa, fb) new_esEs24(xy302, xy4002, app(ty_Ratio, bbc)) -> new_esEs14(xy302, xy4002, bbc) new_primEqInt(Neg(Succ(xy3000)), Neg(Zero)) -> False new_primEqInt(Neg(Zero), Neg(Succ(xy40000))) -> False new_esEs20(Just(xy300), Just(xy4000), app(ty_Ratio, bfa)) -> new_esEs14(xy300, xy4000, bfa) new_primEqInt(Pos(Succ(xy3000)), Pos(Succ(xy40000))) -> new_primEqNat0(xy3000, xy40000) new_esEs20(Just(xy300), Just(xy4000), ty_@0) -> new_esEs18(xy300, xy4000) new_esEs17(Left(xy300), Right(xy4000), fa, fb) -> False new_esEs17(Right(xy300), Left(xy4000), fa, fb) -> False new_esEs24(xy302, xy4002, ty_@0) -> new_esEs18(xy302, xy4002) new_esEs5(xy31, xy401, ty_@0) -> new_esEs18(xy31, xy401) new_sr(Pos(xy3000), Neg(xy40010)) -> Neg(new_primMulNat0(xy3000, xy40010)) new_sr(Neg(xy3000), Pos(xy40010)) -> Neg(new_primMulNat0(xy3000, xy40010)) new_esEs25(xy300, xy4000, app(ty_Maybe, bhd)) -> new_esEs20(xy300, xy4000, bhd) new_esEs7(xy300, xy4000, app(ty_[], cc)) -> new_esEs16(xy300, xy4000, cc) new_primPlusNat1(Succ(xy4400), Succ(xy4001000)) -> Succ(Succ(new_primPlusNat1(xy4400, xy4001000))) new_esEs27(xy301, xy4001, ty_Int) -> new_esEs21(xy301, xy4001) new_esEs7(xy300, xy4000, ty_Ordering) -> new_esEs10(xy300, xy4000) new_primEqInt(Pos(Succ(xy3000)), Neg(xy4000)) -> False new_primEqInt(Neg(Succ(xy3000)), Pos(xy4000)) -> False new_esEs10(LT, EQ) -> False new_esEs10(EQ, LT) -> False new_esEs25(xy300, xy4000, app(app(app(ty_@3, bgd), bge), bgf)) -> new_esEs15(xy300, xy4000, bgd, bge, bgf) new_esEs25(xy300, xy4000, app(ty_[], bgg)) -> new_esEs16(xy300, xy4000, bgg) new_esEs22(xy300, xy4000, ty_Char) -> new_esEs9(xy300, xy4000) new_esEs11(Float(xy300, xy301), Float(xy4000, xy4001)) -> new_esEs21(new_sr(xy300, xy4001), new_sr(xy301, xy4000)) new_esEs22(xy300, xy4000, ty_Bool) -> new_esEs12(xy300, xy4000) new_esEs17(Left(xy300), Left(xy4000), ty_@0, fb) -> new_esEs18(xy300, xy4000) new_esEs4(xy30, xy400, ty_Int) -> new_esEs21(xy30, xy400) new_esEs22(xy300, xy4000, app(app(ty_Either, hd), he)) -> new_esEs17(xy300, xy4000, hd, he) new_esEs8(xy301, xy4001, ty_Bool) -> new_esEs12(xy301, xy4001) new_esEs22(xy300, xy4000, app(app(ty_@2, hf), hg)) -> new_esEs6(xy300, xy4000, hf, hg) new_esEs10(LT, GT) -> False new_esEs10(GT, LT) -> False new_esEs8(xy301, xy4001, ty_Double) -> new_esEs13(xy301, xy4001) new_esEs20(Just(xy300), Just(xy4000), app(ty_Maybe, bgb)) -> new_esEs20(xy300, xy4000, bgb) new_esEs24(xy302, xy4002, ty_Float) -> new_esEs11(xy302, xy4002) new_esEs22(xy300, xy4000, app(ty_Ratio, gg)) -> new_esEs14(xy300, xy4000, gg) new_esEs12(False, False) -> True new_sr(Neg(xy3000), Neg(xy40010)) -> Pos(new_primMulNat0(xy3000, xy40010)) new_esEs17(Right(xy300), Right(xy4000), fa, app(ty_[], bec)) -> new_esEs16(xy300, xy4000, bec) new_esEs20(Just(xy300), Just(xy4000), ty_Bool) -> new_esEs12(xy300, xy4000) new_esEs22(xy300, xy4000, ty_Ordering) -> new_esEs10(xy300, xy4000) new_esEs7(xy300, xy4000, ty_Char) -> new_esEs9(xy300, xy4000) new_esEs17(Left(xy300), Left(xy4000), ty_Int, fb) -> new_esEs21(xy300, xy4000) new_esEs25(xy300, xy4000, ty_Int) -> new_esEs21(xy300, xy4000) new_esEs24(xy302, xy4002, ty_Char) -> new_esEs9(xy302, xy4002) new_primEqInt(Pos(Zero), Neg(Succ(xy40000))) -> False new_primEqInt(Neg(Zero), Pos(Succ(xy40000))) -> False new_esEs17(Right(xy300), Right(xy4000), fa, ty_@0) -> new_esEs18(xy300, xy4000) new_esEs24(xy302, xy4002, app(app(ty_@2, bcb), bcc)) -> new_esEs6(xy302, xy4002, bcb, bcc) new_esEs5(xy31, xy401, app(app(ty_@2, gd), ge)) -> new_esEs6(xy31, xy401, gd, ge) new_esEs5(xy31, xy401, app(ty_Ratio, fd)) -> new_esEs14(xy31, xy401, fd) new_esEs22(xy300, xy4000, ty_Float) -> new_esEs11(xy300, xy4000) new_esEs8(xy301, xy4001, ty_Ordering) -> new_esEs10(xy301, xy4001) new_primEqInt(Neg(Succ(xy3000)), Neg(Succ(xy40000))) -> new_primEqNat0(xy3000, xy40000) new_esEs7(xy300, xy4000, ty_Integer) -> new_esEs19(xy300, xy4000) new_esEs20(Just(xy300), Just(xy4000), app(app(app(ty_@3, bfb), bfc), bfd)) -> new_esEs15(xy300, xy4000, bfb, bfc, bfd) new_primPlusNat0(Succ(xy440), xy400100) -> Succ(Succ(new_primPlusNat1(xy440, xy400100))) new_esEs17(Left(xy300), Left(xy4000), app(ty_[], bda), fb) -> new_esEs16(xy300, xy4000, bda) new_esEs24(xy302, xy4002, ty_Ordering) -> new_esEs10(xy302, xy4002) new_esEs8(xy301, xy4001, app(ty_Maybe, ec)) -> new_esEs20(xy301, xy4001, ec) new_esEs17(Left(xy300), Left(xy4000), app(app(ty_Either, bdb), bdc), fb) -> new_esEs17(xy300, xy4000, bdb, bdc) new_esEs20(Just(xy300), Just(xy4000), ty_Ordering) -> new_esEs10(xy300, xy4000) new_esEs5(xy31, xy401, ty_Char) -> new_esEs9(xy31, xy401) new_esEs14(:%(xy300, xy301), :%(xy4000, xy4001), ed) -> new_asAs(new_esEs26(xy300, xy4000, ed), new_esEs27(xy301, xy4001, ed)) new_esEs4(xy30, xy400, ty_Integer) -> new_esEs19(xy30, xy400) new_primPlusNat1(Zero, Zero) -> Zero new_esEs8(xy301, xy4001, app(app(app(ty_@3, dc), dd), de)) -> new_esEs15(xy301, xy4001, dc, dd, de) new_esEs23(xy301, xy4001, ty_Int) -> new_esEs21(xy301, xy4001) new_primMulNat0(Succ(xy30000), Zero) -> Zero new_primMulNat0(Zero, Succ(xy400100)) -> Zero new_esEs20(Just(xy300), Just(xy4000), ty_Double) -> new_esEs13(xy300, xy4000) new_sr(Pos(xy3000), Pos(xy40010)) -> Pos(new_primMulNat0(xy3000, xy40010)) new_primPlusNat0(Zero, xy400100) -> Succ(xy400100) new_esEs17(Left(xy300), Left(xy4000), app(app(ty_@2, bdd), bde), fb) -> new_esEs6(xy300, xy4000, bdd, bde) new_esEs5(xy31, xy401, app(app(ty_Either, gb), gc)) -> new_esEs17(xy31, xy401, gb, gc) new_esEs4(xy30, xy400, ty_@0) -> new_esEs18(xy30, xy400) new_esEs9(Char(xy300), Char(xy4000)) -> new_primEqNat0(xy300, xy4000) new_esEs25(xy300, xy4000, ty_@0) -> new_esEs18(xy300, xy4000) new_esEs22(xy300, xy4000, app(app(app(ty_@3, gh), ha), hb)) -> new_esEs15(xy300, xy4000, gh, ha, hb) new_esEs20(Just(xy300), Just(xy4000), ty_Float) -> new_esEs11(xy300, xy4000) new_esEs7(xy300, xy4000, app(app(ty_Either, cd), ce)) -> new_esEs17(xy300, xy4000, cd, ce) new_esEs10(EQ, GT) -> False new_esEs10(GT, EQ) -> False new_esEs17(Left(xy300), Left(xy4000), ty_Double, fb) -> new_esEs13(xy300, xy4000) new_esEs20(Just(xy300), Just(xy4000), ty_Int) -> new_esEs21(xy300, xy4000) new_primEqInt(Neg(Zero), Neg(Zero)) -> True new_esEs5(xy31, xy401, ty_Ordering) -> new_esEs10(xy31, xy401) new_primMulNat0(Succ(xy30000), Succ(xy400100)) -> new_primPlusNat0(new_primMulNat0(xy30000, Succ(xy400100)), xy400100) new_esEs25(xy300, xy4000, ty_Integer) -> new_esEs19(xy300, xy4000) new_esEs22(xy300, xy4000, ty_Double) -> new_esEs13(xy300, xy4000) new_esEs22(xy300, xy4000, ty_@0) -> new_esEs18(xy300, xy4000) new_esEs4(xy30, xy400, app(ty_Maybe, fc)) -> new_esEs20(xy30, xy400, fc) new_esEs17(Left(xy300), Left(xy4000), ty_Bool, fb) -> new_esEs12(xy300, xy4000) new_esEs16(:(xy300, xy301), :(xy4000, xy4001), eh) -> new_asAs(new_esEs25(xy300, xy4000, eh), new_esEs16(xy301, xy4001, eh)) new_esEs23(xy301, xy4001, app(ty_Maybe, bbb)) -> new_esEs20(xy301, xy4001, bbb) new_esEs24(xy302, xy4002, ty_Bool) -> new_esEs12(xy302, xy4002) new_esEs5(xy31, xy401, app(ty_[], ga)) -> new_esEs16(xy31, xy401, ga) new_primPlusNat1(Succ(xy4400), Zero) -> Succ(xy4400) new_primPlusNat1(Zero, Succ(xy4001000)) -> Succ(xy4001000) new_esEs23(xy301, xy4001, app(app(app(ty_@3, bab), bac), bad)) -> new_esEs15(xy301, xy4001, bab, bac, bad) new_esEs4(xy30, xy400, ty_Ordering) -> new_esEs10(xy30, xy400) new_esEs17(Right(xy300), Right(xy4000), fa, app(app(ty_@2, bef), beg)) -> new_esEs6(xy300, xy4000, bef, beg) new_esEs17(Right(xy300), Right(xy4000), fa, ty_Bool) -> new_esEs12(xy300, xy4000) new_esEs16(:(xy300, xy301), [], eh) -> False new_esEs16([], :(xy4000, xy4001), eh) -> False new_esEs23(xy301, xy4001, app(ty_[], bae)) -> new_esEs16(xy301, xy4001, bae) new_esEs17(Right(xy300), Right(xy4000), fa, app(app(ty_Either, bed), bee)) -> new_esEs17(xy300, xy4000, bed, bee) new_esEs8(xy301, xy4001, app(ty_Ratio, db)) -> new_esEs14(xy301, xy4001, db) new_esEs20(Just(xy300), Just(xy4000), app(app(ty_Either, bff), bfg)) -> new_esEs17(xy300, xy4000, bff, bfg) new_primEqInt(Pos(Zero), Neg(Zero)) -> True new_primEqInt(Neg(Zero), Pos(Zero)) -> True new_esEs23(xy301, xy4001, ty_Double) -> new_esEs13(xy301, xy4001) new_esEs7(xy300, xy4000, app(app(ty_@2, cf), cg)) -> new_esEs6(xy300, xy4000, cf, cg) new_esEs20(Just(xy300), Just(xy4000), app(app(ty_@2, bfh), bga)) -> new_esEs6(xy300, xy4000, bfh, bga) new_esEs25(xy300, xy4000, ty_Bool) -> new_esEs12(xy300, xy4000) new_esEs17(Left(xy300), Left(xy4000), app(app(app(ty_@3, bcf), bcg), bch), fb) -> new_esEs15(xy300, xy4000, bcf, bcg, bch) new_esEs17(Right(xy300), Right(xy4000), fa, app(app(app(ty_@3, bdh), bea), beb)) -> new_esEs15(xy300, xy4000, bdh, bea, beb) new_primEqNat0(Zero, Zero) -> True new_esEs16([], [], eh) -> True new_esEs24(xy302, xy4002, app(app(ty_Either, bbh), bca)) -> new_esEs17(xy302, xy4002, bbh, bca) new_esEs23(xy301, xy4001, ty_Ordering) -> new_esEs10(xy301, xy4001) new_esEs25(xy300, xy4000, app(app(ty_Either, bgh), bha)) -> new_esEs17(xy300, xy4000, bgh, bha) new_esEs25(xy300, xy4000, app(app(ty_@2, bhb), bhc)) -> new_esEs6(xy300, xy4000, bhb, bhc) new_esEs19(Integer(xy300), Integer(xy4000)) -> new_primEqInt(xy300, xy4000) new_esEs22(xy300, xy4000, app(ty_[], hc)) -> new_esEs16(xy300, xy4000, hc) new_asAs(False, xy43) -> False new_esEs15(@3(xy300, xy301, xy302), @3(xy4000, xy4001, xy4002), ee, ef, eg) -> new_asAs(new_esEs22(xy300, xy4000, ee), new_asAs(new_esEs23(xy301, xy4001, ef), new_esEs24(xy302, xy4002, eg))) new_esEs4(xy30, xy400, ty_Double) -> new_esEs13(xy30, xy400) new_esEs8(xy301, xy4001, ty_Integer) -> new_esEs19(xy301, xy4001) new_esEs23(xy301, xy4001, ty_Float) -> new_esEs11(xy301, xy4001) new_esEs10(LT, LT) -> True new_esEs26(xy300, xy4000, ty_Integer) -> new_esEs19(xy300, xy4000) new_esEs5(xy31, xy401, ty_Float) -> new_esEs11(xy31, xy401) new_esEs8(xy301, xy4001, ty_@0) -> new_esEs18(xy301, xy4001) new_esEs17(Right(xy300), Right(xy4000), fa, ty_Int) -> new_esEs21(xy300, xy4000) new_esEs4(xy30, xy400, app(app(app(ty_@3, ee), ef), eg)) -> new_esEs15(xy30, xy400, ee, ef, eg) new_esEs4(xy30, xy400, app(ty_[], eh)) -> new_esEs16(xy30, xy400, eh) new_esEs22(xy300, xy4000, app(ty_Maybe, hh)) -> new_esEs20(xy300, xy4000, hh) The set Q consists of the following terms: new_esEs25(x0, x1, app(ty_[], x2)) new_esEs25(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs4(x0, x1, ty_Integer) new_esEs7(x0, x1, ty_Int) new_esEs17(Left(x0), Left(x1), app(ty_Maybe, x2), x3) new_esEs25(x0, x1, app(app(ty_@2, x2), x3)) new_asAs(True, x0) new_esEs23(x0, x1, ty_Bool) new_sr(Pos(x0), Neg(x1)) new_sr(Neg(x0), Pos(x1)) new_esEs24(x0, x1, ty_Integer) new_primPlusNat0(Succ(x0), x1) new_esEs11(Float(x0, x1), Float(x2, x3)) new_sr(Neg(x0), Neg(x1)) new_primPlusNat1(Zero, Succ(x0)) new_primMulNat0(Zero, Zero) new_esEs14(:%(x0, x1), :%(x2, x3), x4) new_primPlusNat1(Zero, Zero) new_esEs22(x0, x1, ty_@0) new_esEs7(x0, x1, app(ty_[], x2)) new_esEs17(Right(x0), Right(x1), x2, ty_Char) new_esEs7(x0, x1, ty_Ordering) new_esEs23(x0, x1, ty_@0) new_esEs24(x0, x1, app(ty_Ratio, x2)) new_primEqInt(Pos(Succ(x0)), Neg(x1)) new_primEqInt(Neg(Succ(x0)), Pos(x1)) new_esEs23(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs10(EQ, EQ) new_esEs25(x0, x1, ty_Char) new_esEs20(Just(x0), Just(x1), app(app(app(ty_@3, x2), x3), x4)) new_primMulNat0(Zero, Succ(x0)) new_esEs22(x0, x1, app(ty_Maybe, x2)) new_primEqInt(Pos(Zero), Pos(Zero)) new_esEs7(x0, x1, ty_Double) new_esEs8(x0, x1, ty_Int) new_esEs23(x0, x1, app(ty_[], x2)) new_esEs17(Right(x0), Right(x1), x2, ty_Int) new_esEs17(Left(x0), Left(x1), app(ty_[], x2), x3) new_esEs7(x0, x1, ty_Char) new_esEs8(x0, x1, app(ty_Ratio, x2)) new_esEs22(x0, x1, ty_Bool) new_esEs20(Just(x0), Just(x1), ty_Ordering) new_esEs17(Right(x0), Right(x1), x2, app(ty_Ratio, x3)) new_primEqInt(Pos(Zero), Neg(Succ(x0))) new_primEqInt(Neg(Zero), Pos(Succ(x0))) new_esEs20(Just(x0), Just(x1), ty_Double) new_esEs26(x0, x1, ty_Int) new_esEs4(x0, x1, app(app(ty_@2, x2), x3)) new_esEs22(x0, x1, ty_Char) new_esEs8(x0, x1, ty_Char) new_esEs17(Left(x0), Left(x1), ty_Integer, x2) new_esEs22(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs25(x0, x1, app(ty_Ratio, x2)) new_esEs17(Right(x0), Right(x1), x2, ty_Ordering) new_primEqInt(Neg(Zero), Neg(Zero)) new_esEs25(x0, x1, ty_Bool) new_sr(Pos(x0), Pos(x1)) new_esEs17(Right(x0), Right(x1), x2, ty_@0) new_esEs4(x0, x1, app(ty_Ratio, x2)) new_primMulNat0(Succ(x0), Zero) new_esEs10(LT, LT) new_esEs12(False, True) new_esEs12(True, False) new_esEs24(x0, x1, ty_@0) new_esEs20(Just(x0), Just(x1), app(app(ty_Either, x2), x3)) new_primEqNat0(Succ(x0), Succ(x1)) new_esEs13(Double(x0, x1), Double(x2, x3)) new_esEs12(False, False) new_esEs17(Right(x0), Right(x1), x2, ty_Bool) new_esEs8(x0, x1, ty_Float) new_esEs24(x0, x1, ty_Float) new_esEs4(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs8(x0, x1, app(ty_Maybe, x2)) new_esEs7(x0, x1, app(ty_Ratio, x2)) new_esEs25(x0, x1, ty_Int) new_esEs22(x0, x1, ty_Int) new_esEs20(Just(x0), Just(x1), ty_Bool) new_esEs26(x0, x1, ty_Integer) new_esEs20(Just(x0), Nothing, x1) new_esEs4(x0, x1, ty_Bool) new_esEs17(Right(x0), Right(x1), x2, ty_Double) new_esEs24(x0, x1, app(ty_Maybe, x2)) new_esEs5(x0, x1, ty_Float) new_esEs20(Just(x0), Just(x1), ty_Integer) new_esEs8(x0, x1, ty_@0) new_esEs25(x0, x1, ty_@0) new_esEs4(x0, x1, app(ty_[], x2)) new_primEqInt(Pos(Zero), Neg(Zero)) new_primEqInt(Neg(Zero), Pos(Zero)) new_esEs23(x0, x1, ty_Integer) new_primEqInt(Neg(Zero), Neg(Succ(x0))) new_esEs4(x0, x1, app(ty_Maybe, x2)) new_esEs5(x0, x1, app(app(ty_@2, x2), x3)) new_esEs17(Right(x0), Right(x1), x2, app(ty_[], x3)) new_esEs16(:(x0, x1), [], x2) new_esEs22(x0, x1, app(app(ty_@2, x2), x3)) new_esEs7(x0, x1, ty_Integer) new_esEs7(x0, x1, app(app(ty_Either, x2), x3)) new_esEs25(x0, x1, ty_Float) new_esEs15(@3(x0, x1, x2), @3(x3, x4, x5), x6, x7, x8) new_esEs22(x0, x1, ty_Float) new_esEs23(x0, x1, app(ty_Ratio, x2)) new_primEqInt(Pos(Succ(x0)), Pos(Succ(x1))) new_esEs17(Right(x0), Right(x1), x2, app(app(app(ty_@3, x3), x4), x5)) new_esEs17(Right(x0), Right(x1), x2, app(app(ty_Either, x3), x4)) new_esEs17(Left(x0), Left(x1), app(app(ty_@2, x2), x3), x4) new_esEs20(Nothing, Nothing, x0) new_esEs25(x0, x1, app(ty_Maybe, x2)) new_esEs10(GT, GT) new_esEs22(x0, x1, app(ty_Ratio, x2)) new_esEs4(x0, x1, ty_Int) new_esEs5(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs17(Left(x0), Left(x1), ty_Int, x2) new_esEs17(Right(x0), Right(x1), x2, app(ty_Maybe, x3)) new_esEs23(x0, x1, app(app(ty_Either, x2), x3)) new_esEs10(LT, EQ) new_esEs10(EQ, LT) new_esEs17(Left(x0), Left(x1), ty_Ordering, x2) new_esEs19(Integer(x0), Integer(x1)) new_esEs7(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs17(Left(x0), Left(x1), app(app(app(ty_@3, x2), x3), x4), x5) new_esEs23(x0, x1, ty_Int) new_esEs21(x0, x1) new_esEs5(x0, x1, app(ty_Maybe, x2)) new_esEs23(x0, x1, ty_Ordering) new_primPlusNat0(Zero, x0) new_primEqInt(Neg(Succ(x0)), Neg(Zero)) new_primEqInt(Neg(Succ(x0)), Neg(Succ(x1))) new_primEqInt(Pos(Succ(x0)), Pos(Zero)) new_esEs20(Nothing, Just(x0), x1) new_esEs24(x0, x1, app(app(ty_@2, x2), x3)) new_esEs5(x0, x1, ty_@0) new_esEs20(Just(x0), Just(x1), ty_@0) new_esEs17(Left(x0), Left(x1), ty_Float, x2) new_esEs4(x0, x1, ty_Double) new_esEs17(Right(x0), Right(x1), x2, ty_Integer) new_esEs25(x0, x1, ty_Double) new_esEs24(x0, x1, ty_Int) new_esEs7(x0, x1, ty_Bool) new_esEs20(Just(x0), Just(x1), ty_Char) new_esEs4(x0, x1, ty_Ordering) new_esEs5(x0, x1, ty_Char) new_esEs16([], [], x0) new_esEs4(x0, x1, ty_Char) new_esEs23(x0, x1, ty_Double) new_esEs6(@2(x0, x1), @2(x2, x3), x4, x5) new_esEs22(x0, x1, ty_Double) new_esEs23(x0, x1, ty_Char) new_esEs8(x0, x1, ty_Double) new_esEs20(Just(x0), Just(x1), app(ty_[], x2)) new_esEs18(@0, @0) new_esEs4(x0, x1, app(app(ty_Either, x2), x3)) new_esEs20(Just(x0), Just(x1), ty_Int) new_esEs27(x0, x1, ty_Int) new_esEs5(x0, x1, ty_Int) new_esEs23(x0, x1, app(ty_Maybe, x2)) new_esEs24(x0, x1, ty_Char) new_esEs24(x0, x1, ty_Double) new_esEs17(Left(x0), Right(x1), x2, x3) new_esEs17(Right(x0), Left(x1), x2, x3) new_esEs22(x0, x1, ty_Integer) new_primEqNat0(Zero, Zero) new_esEs17(Right(x0), Right(x1), x2, ty_Float) new_esEs8(x0, x1, ty_Bool) new_esEs25(x0, x1, app(app(ty_Either, x2), x3)) new_esEs20(Just(x0), Just(x1), app(ty_Maybe, x2)) new_esEs22(x0, x1, app(ty_[], x2)) new_esEs12(True, True) new_esEs7(x0, x1, app(ty_Maybe, x2)) new_esEs5(x0, x1, app(ty_Ratio, x2)) new_esEs5(x0, x1, ty_Ordering) new_esEs8(x0, x1, app(app(ty_@2, x2), x3)) new_esEs8(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs9(Char(x0), Char(x1)) new_esEs8(x0, x1, app(ty_[], x2)) new_esEs5(x0, x1, ty_Double) new_esEs4(x0, x1, ty_@0) new_primEqNat0(Succ(x0), Zero) new_esEs24(x0, x1, app(ty_[], x2)) new_esEs10(LT, GT) new_esEs10(GT, LT) new_esEs24(x0, x1, ty_Bool) new_esEs5(x0, x1, app(ty_[], x2)) new_esEs27(x0, x1, ty_Integer) new_esEs5(x0, x1, ty_Bool) new_esEs20(Just(x0), Just(x1), app(app(ty_@2, x2), x3)) new_primMulNat0(Succ(x0), Succ(x1)) new_esEs16([], :(x0, x1), x2) new_esEs7(x0, x1, ty_@0) new_primPlusNat1(Succ(x0), Succ(x1)) new_esEs4(x0, x1, ty_Float) new_primEqInt(Pos(Zero), Pos(Succ(x0))) new_esEs17(Left(x0), Left(x1), ty_@0, x2) new_esEs8(x0, x1, ty_Ordering) new_esEs24(x0, x1, ty_Ordering) new_primPlusNat1(Succ(x0), Zero) new_esEs5(x0, x1, ty_Integer) new_esEs20(Just(x0), Just(x1), ty_Float) new_esEs8(x0, x1, app(app(ty_Either, x2), x3)) new_esEs22(x0, x1, ty_Ordering) new_esEs7(x0, x1, ty_Float) new_esEs17(Left(x0), Left(x1), ty_Char, x2) new_esEs17(Left(x0), Left(x1), ty_Double, x2) new_esEs24(x0, x1, app(app(ty_Either, x2), x3)) new_esEs20(Just(x0), Just(x1), app(ty_Ratio, x2)) new_esEs24(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs17(Left(x0), Left(x1), ty_Bool, x2) new_esEs8(x0, x1, ty_Integer) new_esEs23(x0, x1, app(app(ty_@2, x2), x3)) new_esEs16(:(x0, x1), :(x2, x3), x4) new_esEs23(x0, x1, ty_Float) new_esEs25(x0, x1, ty_Ordering) new_esEs25(x0, x1, ty_Integer) new_esEs17(Left(x0), Left(x1), app(app(ty_Either, x2), x3), x4) new_esEs22(x0, x1, app(app(ty_Either, x2), x3)) new_esEs5(x0, x1, app(app(ty_Either, x2), x3)) new_esEs10(EQ, GT) new_esEs10(GT, EQ) new_esEs17(Left(x0), Left(x1), app(ty_Ratio, x2), x3) new_esEs7(x0, x1, app(app(ty_@2, x2), x3)) new_primEqNat0(Zero, Succ(x0)) new_asAs(False, x0) new_esEs17(Right(x0), Right(x1), x2, app(app(ty_@2, x3), x4)) We have to consider all minimal (P,Q,R)-chains. ---------------------------------------- (13) QDPSizeChangeProof (EQUIVALENT) By using the subterm criterion [SUBTERM_CRITERION] together with the size-change analysis [AAECC05] we have proven that there are no infinite chains for this DP problem. From the DPs we obtained the following set of size-change graphs: *new_deleteBy(@2(xy30, xy31), :(@2(xy400, xy401), xy41), bc, bd) -> new_deleteBy0(xy41, xy400, xy401, xy30, xy31, new_asAs(new_esEs4(xy30, xy400, bc), new_esEs5(xy31, xy401, bd)), bc, bd) The graph contains the following edges 2 > 1, 2 > 2, 2 > 3, 1 > 4, 1 > 5, 3 >= 7, 4 >= 8 *new_deleteBy0(xy25, xy26, xy27, xy28, xy29, False, ba, bb) -> new_deleteBy(@2(xy28, xy29), xy25, ba, bb) The graph contains the following edges 1 >= 2, 7 >= 3, 8 >= 4 ---------------------------------------- (14) YES ---------------------------------------- (15) Obligation: Q DP problem: The TRS P consists of the following rules: new_primMulNat(Succ(xy30000), Succ(xy400100)) -> new_primMulNat(xy30000, Succ(xy400100)) R is empty. Q is empty. We have to consider all minimal (P,Q,R)-chains. ---------------------------------------- (16) QDPSizeChangeProof (EQUIVALENT) By using the subterm criterion [SUBTERM_CRITERION] together with the size-change analysis [AAECC05] we have proven that there are no infinite chains for this DP problem. From the DPs we obtained the following set of size-change graphs: *new_primMulNat(Succ(xy30000), Succ(xy400100)) -> new_primMulNat(xy30000, Succ(xy400100)) The graph contains the following edges 1 > 1, 2 >= 2 ---------------------------------------- (17) YES ---------------------------------------- (18) Obligation: Q DP problem: The TRS P consists of the following rules: new_primPlusNat(Succ(xy4400), Succ(xy4001000)) -> new_primPlusNat(xy4400, xy4001000) R is empty. Q is empty. We have to consider all minimal (P,Q,R)-chains. ---------------------------------------- (19) QDPSizeChangeProof (EQUIVALENT) By using the subterm criterion [SUBTERM_CRITERION] together with the size-change analysis [AAECC05] we have proven that there are no infinite chains for this DP problem. From the DPs we obtained the following set of size-change graphs: *new_primPlusNat(Succ(xy4400), Succ(xy4001000)) -> new_primPlusNat(xy4400, xy4001000) The graph contains the following edges 1 > 1, 2 > 2 ---------------------------------------- (20) YES ---------------------------------------- (21) Obligation: Q DP problem: The TRS P consists of the following rules: new_primEqNat(Succ(xy3000), Succ(xy40000)) -> new_primEqNat(xy3000, xy40000) R is empty. Q is empty. We have to consider all minimal (P,Q,R)-chains. ---------------------------------------- (22) QDPSizeChangeProof (EQUIVALENT) By using the subterm criterion [SUBTERM_CRITERION] together with the size-change analysis [AAECC05] we have proven that there are no infinite chains for this DP problem. From the DPs we obtained the following set of size-change graphs: *new_primEqNat(Succ(xy3000), Succ(xy40000)) -> new_primEqNat(xy3000, xy40000) The graph contains the following edges 1 > 1, 2 > 2 ---------------------------------------- (23) YES