/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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty H-Termination with start terms of the given HASKELL could be proven: (0) HASKELL (1) IFR [EQUIVALENT, 0 ms] (2) HASKELL (3) BR [EQUIVALENT, 0 ms] (4)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, 14 ms] (6) HASKELL (7) Narrow [SOUND, 0 ms] (8) AND (9) QDP (10) QDPSizeChangeProof [EQUIVALENT, 0 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 (24) QDP (25) QDPSizeChangeProof [EQUIVALENT, 0 ms] (26) 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; infix 5 \\; (\\) :: Eq a => [a] -> [a] -> [a]; (\\) = foldl (flip delete); 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; infix 5 \\; (\\) :: Eq a => [a] -> [a] -> [a]; (\\) = foldl (flip delete); 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; infix 5 \\; (\\) :: Eq a => [a] -> [a] -> [a]; (\\) = foldl (flip delete); 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; infix 5 \\; (\\) :: Eq a => [a] -> [a] -> [a]; (\\) = foldl (flip delete); 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.\\)",fontsize=16,color="grey",shape="box"];1 -> 3[label="",style="dashed", color="grey", weight=3]; 3[label="xy3 (List.\\)",fontsize=16,color="grey",shape="box"];3 -> 4[label="",style="dashed", color="grey", weight=3]; 4[label="xy3 (List.\\) xy4",fontsize=16,color="black",shape="triangle"];4 -> 5[label="",style="solid", color="black", weight=3]; 5[label="foldl (flip List.delete) xy3 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weight=3]; 354[label="xy400 == xy300",fontsize=16,color="burlywood",shape="triangle"];1062[label="xy400/Nothing",fontsize=10,color="white",style="solid",shape="box"];354 -> 1062[label="",style="solid", color="burlywood", weight=9]; 1062 -> 384[label="",style="solid", color="burlywood", weight=3]; 1063[label="xy400/Just xy4000",fontsize=10,color="white",style="solid",shape="box"];354 -> 1063[label="",style="solid", color="burlywood", weight=9]; 1063 -> 385[label="",style="solid", color="burlywood", weight=3]; 355[label="xy400 == xy300",fontsize=16,color="burlywood",shape="triangle"];1064[label="xy400/LT",fontsize=10,color="white",style="solid",shape="box"];355 -> 1064[label="",style="solid", color="burlywood", weight=9]; 1064 -> 386[label="",style="solid", color="burlywood", weight=3]; 1065[label="xy400/EQ",fontsize=10,color="white",style="solid",shape="box"];355 -> 1065[label="",style="solid", color="burlywood", weight=9]; 1065 -> 387[label="",style="solid", color="burlywood", 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weight=3]; 369 -> 355[label="",style="dashed", color="red", weight=0]; 369[label="xy401 == xy301",fontsize=16,color="magenta"];369 -> 406[label="",style="dashed", color="magenta", weight=3]; 369 -> 407[label="",style="dashed", color="magenta", weight=3]; 370 -> 356[label="",style="dashed", color="red", weight=0]; 370[label="xy401 == xy301",fontsize=16,color="magenta"];370 -> 408[label="",style="dashed", color="magenta", weight=3]; 370 -> 409[label="",style="dashed", color="magenta", weight=3]; 371 -> 357[label="",style="dashed", color="red", weight=0]; 371[label="xy401 == xy301",fontsize=16,color="magenta"];371 -> 410[label="",style="dashed", color="magenta", weight=3]; 371 -> 411[label="",style="dashed", color="magenta", weight=3]; 372 -> 358[label="",style="dashed", color="red", weight=0]; 372[label="xy401 == xy301",fontsize=16,color="magenta"];372 -> 412[label="",style="dashed", color="magenta", weight=3]; 372 -> 413[label="",style="dashed", color="magenta", weight=3]; 373 -> 359[label="",style="dashed", color="red", weight=0]; 373[label="xy401 == xy301",fontsize=16,color="magenta"];373 -> 414[label="",style="dashed", color="magenta", weight=3]; 373 -> 415[label="",style="dashed", color="magenta", weight=3]; 374 -> 360[label="",style="dashed", color="red", weight=0]; 374[label="xy401 == xy301",fontsize=16,color="magenta"];374 -> 416[label="",style="dashed", color="magenta", weight=3]; 374 -> 417[label="",style="dashed", color="magenta", weight=3]; 375 -> 361[label="",style="dashed", color="red", weight=0]; 375[label="xy401 == xy301",fontsize=16,color="magenta"];375 -> 418[label="",style="dashed", color="magenta", weight=3]; 375 -> 419[label="",style="dashed", color="magenta", weight=3]; 376 -> 362[label="",style="dashed", color="red", weight=0]; 376[label="xy401 == xy301",fontsize=16,color="magenta"];376 -> 420[label="",style="dashed", color="magenta", weight=3]; 376 -> 421[label="",style="dashed", color="magenta", weight=3]; 377 -> 363[label="",style="dashed", color="red", weight=0]; 377[label="xy401 == xy301",fontsize=16,color="magenta"];377 -> 422[label="",style="dashed", color="magenta", weight=3]; 377 -> 423[label="",style="dashed", color="magenta", weight=3]; 378 -> 364[label="",style="dashed", color="red", weight=0]; 378[label="xy401 == xy301",fontsize=16,color="magenta"];378 -> 424[label="",style="dashed", color="magenta", weight=3]; 378 -> 425[label="",style="dashed", color="magenta", weight=3]; 379 -> 365[label="",style="dashed", color="red", weight=0]; 379[label="xy401 == xy301",fontsize=16,color="magenta"];379 -> 426[label="",style="dashed", color="magenta", weight=3]; 379 -> 427[label="",style="dashed", color="magenta", weight=3]; 380 -> 366[label="",style="dashed", color="red", weight=0]; 380[label="xy401 == xy301",fontsize=16,color="magenta"];380 -> 428[label="",style="dashed", color="magenta", weight=3]; 380 -> 429[label="",style="dashed", color="magenta", weight=3]; 381 -> 367[label="",style="dashed", color="red", weight=0]; 381[label="xy401 == xy301",fontsize=16,color="magenta"];381 -> 430[label="",style="dashed", color="magenta", weight=3]; 381 -> 431[label="",style="dashed", color="magenta", weight=3]; 382[label="False && xy43",fontsize=16,color="black",shape="box"];382 -> 432[label="",style="solid", color="black", weight=3]; 383[label="True && xy43",fontsize=16,color="black",shape="box"];383 -> 433[label="",style="solid", color="black", weight=3]; 149[label="(xy26,xy27) : List.deleteBy (==) (xy28,xy29) xy25",fontsize=16,color="green",shape="box"];149 -> 173[label="",style="dashed", color="green", weight=3]; 150[label="xy25",fontsize=16,color="green",shape="box"];384[label="Nothing == xy300",fontsize=16,color="burlywood",shape="box"];1078[label="xy300/Nothing",fontsize=10,color="white",style="solid",shape="box"];384 -> 1078[label="",style="solid", color="burlywood", weight=9]; 1078 -> 434[label="",style="solid", color="burlywood", weight=3]; 1079[label="xy300/Just xy3000",fontsize=10,color="white",style="solid",shape="box"];384 -> 1079[label="",style="solid", color="burlywood", weight=9]; 1079 -> 435[label="",style="solid", color="burlywood", weight=3]; 385[label="Just xy4000 == xy300",fontsize=16,color="burlywood",shape="box"];1080[label="xy300/Nothing",fontsize=10,color="white",style="solid",shape="box"];385 -> 1080[label="",style="solid", color="burlywood", weight=9]; 1080 -> 436[label="",style="solid", color="burlywood", weight=3]; 1081[label="xy300/Just xy3000",fontsize=10,color="white",style="solid",shape="box"];385 -> 1081[label="",style="solid", color="burlywood", weight=9]; 1081 -> 437[label="",style="solid", color="burlywood", weight=3]; 386[label="LT == xy300",fontsize=16,color="burlywood",shape="box"];1082[label="xy300/LT",fontsize=10,color="white",style="solid",shape="box"];386 -> 1082[label="",style="solid", color="burlywood", weight=9]; 1082 -> 438[label="",style="solid", color="burlywood", weight=3]; 1083[label="xy300/EQ",fontsize=10,color="white",style="solid",shape="box"];386 -> 1083[label="",style="solid", color="burlywood", weight=9]; 1083 -> 439[label="",style="solid", color="burlywood", weight=3]; 1084[label="xy300/GT",fontsize=10,color="white",style="solid",shape="box"];386 -> 1084[label="",style="solid", color="burlywood", weight=9]; 1084 -> 440[label="",style="solid", color="burlywood", weight=3]; 387[label="EQ == xy300",fontsize=16,color="burlywood",shape="box"];1085[label="xy300/LT",fontsize=10,color="white",style="solid",shape="box"];387 -> 1085[label="",style="solid", color="burlywood", weight=9]; 1085 -> 441[label="",style="solid", color="burlywood", weight=3]; 1086[label="xy300/EQ",fontsize=10,color="white",style="solid",shape="box"];387 -> 1086[label="",style="solid", color="burlywood", weight=9]; 1086 -> 442[label="",style="solid", color="burlywood", weight=3]; 1087[label="xy300/GT",fontsize=10,color="white",style="solid",shape="box"];387 -> 1087[label="",style="solid", color="burlywood", weight=9]; 1087 -> 443[label="",style="solid", color="burlywood", weight=3]; 388[label="GT == xy300",fontsize=16,color="burlywood",shape="box"];1088[label="xy300/LT",fontsize=10,color="white",style="solid",shape="box"];388 -> 1088[label="",style="solid", color="burlywood", weight=9]; 1088 -> 444[label="",style="solid", color="burlywood", weight=3]; 1089[label="xy300/EQ",fontsize=10,color="white",style="solid",shape="box"];388 -> 1089[label="",style="solid", color="burlywood", weight=9]; 1089 -> 445[label="",style="solid", color="burlywood", weight=3]; 1090[label="xy300/GT",fontsize=10,color="white",style="solid",shape="box"];388 -> 1090[label="",style="solid", color="burlywood", weight=9]; 1090 -> 446[label="",style="solid", color="burlywood", weight=3]; 389[label="xy4000 :% xy4001 == xy300",fontsize=16,color="burlywood",shape="box"];1091[label="xy300/xy3000 :% xy3001",fontsize=10,color="white",style="solid",shape="box"];389 -> 1091[label="",style="solid", color="burlywood", weight=9]; 1091 -> 447[label="",style="solid", color="burlywood", weight=3]; 390[label="Integer xy4000 == xy300",fontsize=16,color="burlywood",shape="box"];1092[label="xy300/Integer xy3000",fontsize=10,color="white",style="solid",shape="box"];390 -> 1092[label="",style="solid", color="burlywood", weight=9]; 1092 -> 448[label="",style="solid", color="burlywood", weight=3]; 391[label="primEqDouble xy400 xy300",fontsize=16,color="burlywood",shape="box"];1093[label="xy400/Double xy4000 xy4001",fontsize=10,color="white",style="solid",shape="box"];391 -> 1093[label="",style="solid", color="burlywood", weight=9]; 1093 -> 449[label="",style="solid", color="burlywood", weight=3]; 392[label="(xy4000,xy4001) == xy300",fontsize=16,color="burlywood",shape="box"];1094[label="xy300/(xy3000,xy3001)",fontsize=10,color="white",style="solid",shape="box"];392 -> 1094[label="",style="solid", color="burlywood", weight=9]; 1094 -> 450[label="",style="solid", color="burlywood", weight=3]; 393[label="primEqInt xy400 xy300",fontsize=16,color="burlywood",shape="triangle"];1095[label="xy400/Pos xy4000",fontsize=10,color="white",style="solid",shape="box"];393 -> 1095[label="",style="solid", color="burlywood", weight=9]; 1095 -> 451[label="",style="solid", color="burlywood", weight=3]; 1096[label="xy400/Neg xy4000",fontsize=10,color="white",style="solid",shape="box"];393 -> 1096[label="",style="solid", color="burlywood", weight=9]; 1096 -> 452[label="",style="solid", color="burlywood", weight=3]; 394[label="(xy4000,xy4001,xy4002) == xy300",fontsize=16,color="burlywood",shape="box"];1097[label="xy300/(xy3000,xy3001,xy3002)",fontsize=10,color="white",style="solid",shape="box"];394 -> 1097[label="",style="solid", color="burlywood", weight=9]; 1097 -> 453[label="",style="solid", color="burlywood", weight=3]; 395[label="False == xy300",fontsize=16,color="burlywood",shape="box"];1098[label="xy300/False",fontsize=10,color="white",style="solid",shape="box"];395 -> 1098[label="",style="solid", color="burlywood", weight=9]; 1098 -> 454[label="",style="solid", color="burlywood", weight=3]; 1099[label="xy300/True",fontsize=10,color="white",style="solid",shape="box"];395 -> 1099[label="",style="solid", color="burlywood", weight=9]; 1099 -> 455[label="",style="solid", color="burlywood", weight=3]; 396[label="True == xy300",fontsize=16,color="burlywood",shape="box"];1100[label="xy300/False",fontsize=10,color="white",style="solid",shape="box"];396 -> 1100[label="",style="solid", color="burlywood", weight=9]; 1100 -> 456[label="",style="solid", color="burlywood", weight=3]; 1101[label="xy300/True",fontsize=10,color="white",style="solid",shape="box"];396 -> 1101[label="",style="solid", color="burlywood", weight=9]; 1101 -> 457[label="",style="solid", color="burlywood", weight=3]; 397[label="primEqChar xy400 xy300",fontsize=16,color="burlywood",shape="box"];1102[label="xy400/Char xy4000",fontsize=10,color="white",style="solid",shape="box"];397 -> 1102[label="",style="solid", color="burlywood", weight=9]; 1102 -> 458[label="",style="solid", color="burlywood", weight=3]; 398[label="() == xy300",fontsize=16,color="burlywood",shape="box"];1103[label="xy300/()",fontsize=10,color="white",style="solid",shape="box"];398 -> 1103[label="",style="solid", color="burlywood", weight=9]; 1103 -> 459[label="",style="solid", color="burlywood", weight=3]; 399[label="xy4000 : xy4001 == xy300",fontsize=16,color="burlywood",shape="box"];1104[label="xy300/xy3000 : xy3001",fontsize=10,color="white",style="solid",shape="box"];399 -> 1104[label="",style="solid", color="burlywood", weight=9]; 1104 -> 460[label="",style="solid", color="burlywood", weight=3]; 1105[label="xy300/[]",fontsize=10,color="white",style="solid",shape="box"];399 -> 1105[label="",style="solid", color="burlywood", weight=9]; 1105 -> 461[label="",style="solid", color="burlywood", weight=3]; 400[label="[] == xy300",fontsize=16,color="burlywood",shape="box"];1106[label="xy300/xy3000 : xy3001",fontsize=10,color="white",style="solid",shape="box"];400 -> 1106[label="",style="solid", color="burlywood", weight=9]; 1106 -> 462[label="",style="solid", color="burlywood", weight=3]; 1107[label="xy300/[]",fontsize=10,color="white",style="solid",shape="box"];400 -> 1107[label="",style="solid", color="burlywood", weight=9]; 1107 -> 463[label="",style="solid", color="burlywood", weight=3]; 401[label="primEqFloat xy400 xy300",fontsize=16,color="burlywood",shape="box"];1108[label="xy400/Float xy4000 xy4001",fontsize=10,color="white",style="solid",shape="box"];401 -> 1108[label="",style="solid", color="burlywood", weight=9]; 1108 -> 464[label="",style="solid", color="burlywood", weight=3]; 402[label="Left xy4000 == xy300",fontsize=16,color="burlywood",shape="box"];1109[label="xy300/Left xy3000",fontsize=10,color="white",style="solid",shape="box"];402 -> 1109[label="",style="solid", color="burlywood", weight=9]; 1109 -> 465[label="",style="solid", color="burlywood", weight=3]; 1110[label="xy300/Right xy3000",fontsize=10,color="white",style="solid",shape="box"];402 -> 1110[label="",style="solid", color="burlywood", weight=9]; 1110 -> 466[label="",style="solid", color="burlywood", weight=3]; 403[label="Right xy4000 == xy300",fontsize=16,color="burlywood",shape="box"];1111[label="xy300/Left xy3000",fontsize=10,color="white",style="solid",shape="box"];403 -> 1111[label="",style="solid", color="burlywood", weight=9]; 1111 -> 467[label="",style="solid", color="burlywood", weight=3]; 1112[label="xy300/Right xy3000",fontsize=10,color="white",style="solid",shape="box"];403 -> 1112[label="",style="solid", color="burlywood", weight=9]; 1112 -> 468[label="",style="solid", color="burlywood", weight=3]; 404[label="xy301",fontsize=16,color="green",shape="box"];405[label="xy401",fontsize=16,color="green",shape="box"];406[label="xy301",fontsize=16,color="green",shape="box"];407[label="xy401",fontsize=16,color="green",shape="box"];408[label="xy301",fontsize=16,color="green",shape="box"];409[label="xy401",fontsize=16,color="green",shape="box"];410[label="xy301",fontsize=16,color="green",shape="box"];411[label="xy401",fontsize=16,color="green",shape="box"];412[label="xy301",fontsize=16,color="green",shape="box"];413[label="xy401",fontsize=16,color="green",shape="box"];414[label="xy301",fontsize=16,color="green",shape="box"];415[label="xy401",fontsize=16,color="green",shape="box"];416[label="xy301",fontsize=16,color="green",shape="box"];417[label="xy401",fontsize=16,color="green",shape="box"];418[label="xy301",fontsize=16,color="green",shape="box"];419[label="xy401",fontsize=16,color="green",shape="box"];420[label="xy301",fontsize=16,color="green",shape="box"];421[label="xy401",fontsize=16,color="green",shape="box"];422[label="xy301",fontsize=16,color="green",shape="box"];423[label="xy401",fontsize=16,color="green",shape="box"];424[label="xy301",fontsize=16,color="green",shape="box"];425[label="xy401",fontsize=16,color="green",shape="box"];426[label="xy301",fontsize=16,color="green",shape="box"];427[label="xy401",fontsize=16,color="green",shape="box"];428[label="xy301",fontsize=16,color="green",shape="box"];429[label="xy401",fontsize=16,color="green",shape="box"];430[label="xy301",fontsize=16,color="green",shape="box"];431[label="xy401",fontsize=16,color="green",shape="box"];432[label="False",fontsize=16,color="green",shape="box"];433[label="xy43",fontsize=16,color="green",shape="box"];173 -> 13[label="",style="dashed", color="red", weight=0]; 173[label="List.deleteBy (==) (xy28,xy29) xy25",fontsize=16,color="magenta"];173 -> 223[label="",style="dashed", color="magenta", weight=3]; 173 -> 224[label="",style="dashed", color="magenta", weight=3]; 434[label="Nothing == Nothing",fontsize=16,color="black",shape="box"];434 -> 469[label="",style="solid", color="black", weight=3]; 435[label="Nothing == Just xy3000",fontsize=16,color="black",shape="box"];435 -> 470[label="",style="solid", color="black", weight=3]; 436[label="Just xy4000 == Nothing",fontsize=16,color="black",shape="box"];436 -> 471[label="",style="solid", color="black", weight=3]; 437[label="Just xy4000 == Just xy3000",fontsize=16,color="black",shape="box"];437 -> 472[label="",style="solid", color="black", weight=3]; 438[label="LT == LT",fontsize=16,color="black",shape="box"];438 -> 473[label="",style="solid", color="black", weight=3]; 439[label="LT == EQ",fontsize=16,color="black",shape="box"];439 -> 474[label="",style="solid", color="black", weight=3]; 440[label="LT == GT",fontsize=16,color="black",shape="box"];440 -> 475[label="",style="solid", color="black", weight=3]; 441[label="EQ == LT",fontsize=16,color="black",shape="box"];441 -> 476[label="",style="solid", color="black", weight=3]; 442[label="EQ == EQ",fontsize=16,color="black",shape="box"];442 -> 477[label="",style="solid", color="black", weight=3]; 443[label="EQ == GT",fontsize=16,color="black",shape="box"];443 -> 478[label="",style="solid", color="black", weight=3]; 444[label="GT == LT",fontsize=16,color="black",shape="box"];444 -> 479[label="",style="solid", color="black", weight=3]; 445[label="GT == EQ",fontsize=16,color="black",shape="box"];445 -> 480[label="",style="solid", color="black", weight=3]; 446[label="GT == GT",fontsize=16,color="black",shape="box"];446 -> 481[label="",style="solid", color="black", weight=3]; 447[label="xy4000 :% xy4001 == xy3000 :% xy3001",fontsize=16,color="black",shape="box"];447 -> 482[label="",style="solid", color="black", weight=3]; 448[label="Integer xy4000 == Integer xy3000",fontsize=16,color="black",shape="box"];448 -> 483[label="",style="solid", color="black", weight=3]; 449[label="primEqDouble (Double xy4000 xy4001) xy300",fontsize=16,color="burlywood",shape="box"];1113[label="xy300/Double xy3000 xy3001",fontsize=10,color="white",style="solid",shape="box"];449 -> 1113[label="",style="solid", color="burlywood", weight=9]; 1113 -> 484[label="",style="solid", color="burlywood", weight=3]; 450[label="(xy4000,xy4001) == (xy3000,xy3001)",fontsize=16,color="black",shape="box"];450 -> 485[label="",style="solid", color="black", weight=3]; 451[label="primEqInt (Pos xy4000) xy300",fontsize=16,color="burlywood",shape="box"];1114[label="xy4000/Succ xy40000",fontsize=10,color="white",style="solid",shape="box"];451 -> 1114[label="",style="solid", color="burlywood", weight=9]; 1114 -> 486[label="",style="solid", color="burlywood", weight=3]; 1115[label="xy4000/Zero",fontsize=10,color="white",style="solid",shape="box"];451 -> 1115[label="",style="solid", color="burlywood", weight=9]; 1115 -> 487[label="",style="solid", color="burlywood", weight=3]; 452[label="primEqInt (Neg xy4000) xy300",fontsize=16,color="burlywood",shape="box"];1116[label="xy4000/Succ xy40000",fontsize=10,color="white",style="solid",shape="box"];452 -> 1116[label="",style="solid", color="burlywood", weight=9]; 1116 -> 488[label="",style="solid", color="burlywood", weight=3]; 1117[label="xy4000/Zero",fontsize=10,color="white",style="solid",shape="box"];452 -> 1117[label="",style="solid", color="burlywood", weight=9]; 1117 -> 489[label="",style="solid", color="burlywood", weight=3]; 453[label="(xy4000,xy4001,xy4002) == (xy3000,xy3001,xy3002)",fontsize=16,color="black",shape="box"];453 -> 490[label="",style="solid", color="black", weight=3]; 454[label="False == False",fontsize=16,color="black",shape="box"];454 -> 491[label="",style="solid", color="black", weight=3]; 455[label="False == True",fontsize=16,color="black",shape="box"];455 -> 492[label="",style="solid", color="black", weight=3]; 456[label="True == False",fontsize=16,color="black",shape="box"];456 -> 493[label="",style="solid", color="black", weight=3]; 457[label="True == True",fontsize=16,color="black",shape="box"];457 -> 494[label="",style="solid", color="black", weight=3]; 458[label="primEqChar (Char xy4000) xy300",fontsize=16,color="burlywood",shape="box"];1118[label="xy300/Char xy3000",fontsize=10,color="white",style="solid",shape="box"];458 -> 1118[label="",style="solid", color="burlywood", weight=9]; 1118 -> 495[label="",style="solid", color="burlywood", weight=3]; 459[label="() == ()",fontsize=16,color="black",shape="box"];459 -> 496[label="",style="solid", color="black", weight=3]; 460[label="xy4000 : xy4001 == xy3000 : xy3001",fontsize=16,color="black",shape="box"];460 -> 497[label="",style="solid", color="black", weight=3]; 461[label="xy4000 : xy4001 == []",fontsize=16,color="black",shape="box"];461 -> 498[label="",style="solid", color="black", weight=3]; 462[label="[] == xy3000 : xy3001",fontsize=16,color="black",shape="box"];462 -> 499[label="",style="solid", color="black", weight=3]; 463[label="[] == []",fontsize=16,color="black",shape="box"];463 -> 500[label="",style="solid", color="black", weight=3]; 464[label="primEqFloat (Float xy4000 xy4001) xy300",fontsize=16,color="burlywood",shape="box"];1119[label="xy300/Float xy3000 xy3001",fontsize=10,color="white",style="solid",shape="box"];464 -> 1119[label="",style="solid", color="burlywood", weight=9]; 1119 -> 501[label="",style="solid", color="burlywood", weight=3]; 465[label="Left xy4000 == Left xy3000",fontsize=16,color="black",shape="box"];465 -> 502[label="",style="solid", color="black", weight=3]; 466[label="Left xy4000 == Right xy3000",fontsize=16,color="black",shape="box"];466 -> 503[label="",style="solid", color="black", weight=3]; 467[label="Right xy4000 == Left xy3000",fontsize=16,color="black",shape="box"];467 -> 504[label="",style="solid", color="black", weight=3]; 468[label="Right xy4000 == Right xy3000",fontsize=16,color="black",shape="box"];468 -> 505[label="",style="solid", color="black", weight=3]; 223[label="(xy28,xy29)",fontsize=16,color="green",shape="box"];224[label="xy25",fontsize=16,color="green",shape="box"];469[label="True",fontsize=16,color="green",shape="box"];470[label="False",fontsize=16,color="green",shape="box"];471[label="False",fontsize=16,color="green",shape="box"];472[label="xy4000 == xy3000",fontsize=16,color="blue",shape="box"];1120[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];472 -> 1120[label="",style="solid", color="blue", weight=9]; 1120 -> 506[label="",style="solid", color="blue", weight=3]; 1121[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];472 -> 1121[label="",style="solid", color="blue", weight=9]; 1121 -> 507[label="",style="solid", color="blue", weight=3]; 1122[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];472 -> 1122[label="",style="solid", color="blue", weight=9]; 1122 -> 508[label="",style="solid", color="blue", weight=3]; 1123[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];472 -> 1123[label="",style="solid", color="blue", weight=9]; 1123 -> 509[label="",style="solid", color="blue", weight=3]; 1124[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];472 -> 1124[label="",style="solid", color="blue", weight=9]; 1124 -> 510[label="",style="solid", color="blue", weight=3]; 1125[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];472 -> 1125[label="",style="solid", color="blue", weight=9]; 1125 -> 511[label="",style="solid", color="blue", weight=3]; 1126[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];472 -> 1126[label="",style="solid", color="blue", weight=9]; 1126 -> 512[label="",style="solid", color="blue", weight=3]; 1127[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];472 -> 1127[label="",style="solid", color="blue", weight=9]; 1127 -> 513[label="",style="solid", color="blue", weight=3]; 1128[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];472 -> 1128[label="",style="solid", color="blue", weight=9]; 1128 -> 514[label="",style="solid", color="blue", weight=3]; 1129[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];472 -> 1129[label="",style="solid", color="blue", weight=9]; 1129 -> 515[label="",style="solid", color="blue", weight=3]; 1130[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];472 -> 1130[label="",style="solid", color="blue", weight=9]; 1130 -> 516[label="",style="solid", color="blue", weight=3]; 1131[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];472 -> 1131[label="",style="solid", color="blue", weight=9]; 1131 -> 517[label="",style="solid", color="blue", weight=3]; 1132[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];472 -> 1132[label="",style="solid", color="blue", weight=9]; 1132 -> 518[label="",style="solid", color="blue", weight=3]; 1133[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];472 -> 1133[label="",style="solid", color="blue", weight=9]; 1133 -> 519[label="",style="solid", color="blue", weight=3]; 473[label="True",fontsize=16,color="green",shape="box"];474[label="False",fontsize=16,color="green",shape="box"];475[label="False",fontsize=16,color="green",shape="box"];476[label="False",fontsize=16,color="green",shape="box"];477[label="True",fontsize=16,color="green",shape="box"];478[label="False",fontsize=16,color="green",shape="box"];479[label="False",fontsize=16,color="green",shape="box"];480[label="False",fontsize=16,color="green",shape="box"];481[label="True",fontsize=16,color="green",shape="box"];482 -> 349[label="",style="dashed", color="red", weight=0]; 482[label="xy4000 == xy3000 && xy4001 == xy3001",fontsize=16,color="magenta"];482 -> 520[label="",style="dashed", color="magenta", weight=3]; 482 -> 521[label="",style="dashed", color="magenta", weight=3]; 483 -> 393[label="",style="dashed", color="red", weight=0]; 483[label="primEqInt xy4000 xy3000",fontsize=16,color="magenta"];483 -> 522[label="",style="dashed", color="magenta", weight=3]; 483 -> 523[label="",style="dashed", color="magenta", weight=3]; 484[label="primEqDouble (Double xy4000 xy4001) (Double xy3000 xy3001)",fontsize=16,color="black",shape="box"];484 -> 524[label="",style="solid", color="black", weight=3]; 485 -> 349[label="",style="dashed", color="red", weight=0]; 485[label="xy4000 == xy3000 && xy4001 == xy3001",fontsize=16,color="magenta"];485 -> 525[label="",style="dashed", color="magenta", weight=3]; 485 -> 526[label="",style="dashed", color="magenta", weight=3]; 486[label="primEqInt (Pos (Succ xy40000)) xy300",fontsize=16,color="burlywood",shape="box"];1134[label="xy300/Pos xy3000",fontsize=10,color="white",style="solid",shape="box"];486 -> 1134[label="",style="solid", color="burlywood", weight=9]; 1134 -> 527[label="",style="solid", color="burlywood", weight=3]; 1135[label="xy300/Neg xy3000",fontsize=10,color="white",style="solid",shape="box"];486 -> 1135[label="",style="solid", color="burlywood", weight=9]; 1135 -> 528[label="",style="solid", color="burlywood", weight=3]; 487[label="primEqInt (Pos Zero) xy300",fontsize=16,color="burlywood",shape="box"];1136[label="xy300/Pos xy3000",fontsize=10,color="white",style="solid",shape="box"];487 -> 1136[label="",style="solid", color="burlywood", weight=9]; 1136 -> 529[label="",style="solid", color="burlywood", weight=3]; 1137[label="xy300/Neg xy3000",fontsize=10,color="white",style="solid",shape="box"];487 -> 1137[label="",style="solid", color="burlywood", weight=9]; 1137 -> 530[label="",style="solid", color="burlywood", weight=3]; 488[label="primEqInt (Neg (Succ xy40000)) xy300",fontsize=16,color="burlywood",shape="box"];1138[label="xy300/Pos xy3000",fontsize=10,color="white",style="solid",shape="box"];488 -> 1138[label="",style="solid", color="burlywood", weight=9]; 1138 -> 531[label="",style="solid", color="burlywood", weight=3]; 1139[label="xy300/Neg xy3000",fontsize=10,color="white",style="solid",shape="box"];488 -> 1139[label="",style="solid", color="burlywood", weight=9]; 1139 -> 532[label="",style="solid", color="burlywood", weight=3]; 489[label="primEqInt (Neg Zero) xy300",fontsize=16,color="burlywood",shape="box"];1140[label="xy300/Pos xy3000",fontsize=10,color="white",style="solid",shape="box"];489 -> 1140[label="",style="solid", color="burlywood", weight=9]; 1140 -> 533[label="",style="solid", color="burlywood", weight=3]; 1141[label="xy300/Neg xy3000",fontsize=10,color="white",style="solid",shape="box"];489 -> 1141[label="",style="solid", color="burlywood", weight=9]; 1141 -> 534[label="",style="solid", color="burlywood", weight=3]; 490 -> 349[label="",style="dashed", color="red", weight=0]; 490[label="xy4000 == xy3000 && xy4001 == xy3001 && xy4002 == xy3002",fontsize=16,color="magenta"];490 -> 535[label="",style="dashed", color="magenta", weight=3]; 490 -> 536[label="",style="dashed", color="magenta", weight=3]; 491[label="True",fontsize=16,color="green",shape="box"];492[label="False",fontsize=16,color="green",shape="box"];493[label="False",fontsize=16,color="green",shape="box"];494[label="True",fontsize=16,color="green",shape="box"];495[label="primEqChar (Char xy4000) (Char xy3000)",fontsize=16,color="black",shape="box"];495 -> 537[label="",style="solid", color="black", weight=3]; 496[label="True",fontsize=16,color="green",shape="box"];497 -> 349[label="",style="dashed", color="red", weight=0]; 497[label="xy4000 == xy3000 && xy4001 == xy3001",fontsize=16,color="magenta"];497 -> 538[label="",style="dashed", color="magenta", weight=3]; 497 -> 539[label="",style="dashed", color="magenta", weight=3]; 498[label="False",fontsize=16,color="green",shape="box"];499[label="False",fontsize=16,color="green",shape="box"];500[label="True",fontsize=16,color="green",shape="box"];501[label="primEqFloat (Float xy4000 xy4001) (Float xy3000 xy3001)",fontsize=16,color="black",shape="box"];501 -> 540[label="",style="solid", color="black", weight=3]; 502[label="xy4000 == xy3000",fontsize=16,color="blue",shape="box"];1142[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];502 -> 1142[label="",style="solid", color="blue", weight=9]; 1142 -> 541[label="",style="solid", color="blue", weight=3]; 1143[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];502 -> 1143[label="",style="solid", color="blue", weight=9]; 1143 -> 542[label="",style="solid", color="blue", weight=3]; 1144[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];502 -> 1144[label="",style="solid", color="blue", weight=9]; 1144 -> 543[label="",style="solid", color="blue", weight=3]; 1145[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];502 -> 1145[label="",style="solid", color="blue", weight=9]; 1145 -> 544[label="",style="solid", color="blue", weight=3]; 1146[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];502 -> 1146[label="",style="solid", color="blue", weight=9]; 1146 -> 545[label="",style="solid", color="blue", weight=3]; 1147[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];502 -> 1147[label="",style="solid", color="blue", weight=9]; 1147 -> 546[label="",style="solid", color="blue", weight=3]; 1148[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];502 -> 1148[label="",style="solid", color="blue", weight=9]; 1148 -> 547[label="",style="solid", color="blue", weight=3]; 1149[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];502 -> 1149[label="",style="solid", color="blue", weight=9]; 1149 -> 548[label="",style="solid", color="blue", weight=3]; 1150[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];502 -> 1150[label="",style="solid", color="blue", weight=9]; 1150 -> 549[label="",style="solid", color="blue", weight=3]; 1151[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];502 -> 1151[label="",style="solid", color="blue", weight=9]; 1151 -> 550[label="",style="solid", color="blue", weight=3]; 1152[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];502 -> 1152[label="",style="solid", color="blue", weight=9]; 1152 -> 551[label="",style="solid", color="blue", weight=3]; 1153[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];502 -> 1153[label="",style="solid", color="blue", weight=9]; 1153 -> 552[label="",style="solid", color="blue", weight=3]; 1154[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];502 -> 1154[label="",style="solid", color="blue", weight=9]; 1154 -> 553[label="",style="solid", color="blue", weight=3]; 1155[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];502 -> 1155[label="",style="solid", color="blue", weight=9]; 1155 -> 554[label="",style="solid", color="blue", weight=3]; 503[label="False",fontsize=16,color="green",shape="box"];504[label="False",fontsize=16,color="green",shape="box"];505[label="xy4000 == xy3000",fontsize=16,color="blue",shape="box"];1156[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];505 -> 1156[label="",style="solid", color="blue", weight=9]; 1156 -> 555[label="",style="solid", color="blue", weight=3]; 1157[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];505 -> 1157[label="",style="solid", color="blue", weight=9]; 1157 -> 556[label="",style="solid", color="blue", weight=3]; 1158[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];505 -> 1158[label="",style="solid", color="blue", weight=9]; 1158 -> 557[label="",style="solid", color="blue", weight=3]; 1159[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];505 -> 1159[label="",style="solid", color="blue", weight=9]; 1159 -> 558[label="",style="solid", color="blue", weight=3]; 1160[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];505 -> 1160[label="",style="solid", color="blue", weight=9]; 1160 -> 559[label="",style="solid", color="blue", weight=3]; 1161[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];505 -> 1161[label="",style="solid", color="blue", weight=9]; 1161 -> 560[label="",style="solid", color="blue", weight=3]; 1162[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];505 -> 1162[label="",style="solid", color="blue", weight=9]; 1162 -> 561[label="",style="solid", color="blue", weight=3]; 1163[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];505 -> 1163[label="",style="solid", color="blue", weight=9]; 1163 -> 562[label="",style="solid", color="blue", weight=3]; 1164[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];505 -> 1164[label="",style="solid", color="blue", weight=9]; 1164 -> 563[label="",style="solid", color="blue", weight=3]; 1165[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];505 -> 1165[label="",style="solid", color="blue", weight=9]; 1165 -> 564[label="",style="solid", color="blue", weight=3]; 1166[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];505 -> 1166[label="",style="solid", color="blue", weight=9]; 1166 -> 565[label="",style="solid", color="blue", weight=3]; 1167[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];505 -> 1167[label="",style="solid", color="blue", weight=9]; 1167 -> 566[label="",style="solid", color="blue", weight=3]; 1168[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];505 -> 1168[label="",style="solid", color="blue", weight=9]; 1168 -> 567[label="",style="solid", color="blue", weight=3]; 1169[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];505 -> 1169[label="",style="solid", color="blue", weight=9]; 1169 -> 568[label="",style="solid", color="blue", weight=3]; 506 -> 354[label="",style="dashed", color="red", weight=0]; 506[label="xy4000 == xy3000",fontsize=16,color="magenta"];506 -> 569[label="",style="dashed", color="magenta", weight=3]; 506 -> 570[label="",style="dashed", color="magenta", weight=3]; 507 -> 355[label="",style="dashed", color="red", weight=0]; 507[label="xy4000 == xy3000",fontsize=16,color="magenta"];507 -> 571[label="",style="dashed", color="magenta", weight=3]; 507 -> 572[label="",style="dashed", color="magenta", weight=3]; 508 -> 356[label="",style="dashed", color="red", weight=0]; 508[label="xy4000 == xy3000",fontsize=16,color="magenta"];508 -> 573[label="",style="dashed", color="magenta", weight=3]; 508 -> 574[label="",style="dashed", color="magenta", weight=3]; 509 -> 357[label="",style="dashed", color="red", weight=0]; 509[label="xy4000 == xy3000",fontsize=16,color="magenta"];509 -> 575[label="",style="dashed", color="magenta", weight=3]; 509 -> 576[label="",style="dashed", color="magenta", weight=3]; 510 -> 358[label="",style="dashed", color="red", weight=0]; 510[label="xy4000 == xy3000",fontsize=16,color="magenta"];510 -> 577[label="",style="dashed", color="magenta", weight=3]; 510 -> 578[label="",style="dashed", color="magenta", weight=3]; 511 -> 359[label="",style="dashed", color="red", weight=0]; 511[label="xy4000 == xy3000",fontsize=16,color="magenta"];511 -> 579[label="",style="dashed", color="magenta", weight=3]; 511 -> 580[label="",style="dashed", color="magenta", weight=3]; 512 -> 360[label="",style="dashed", color="red", weight=0]; 512[label="xy4000 == xy3000",fontsize=16,color="magenta"];512 -> 581[label="",style="dashed", color="magenta", weight=3]; 512 -> 582[label="",style="dashed", color="magenta", weight=3]; 513 -> 361[label="",style="dashed", color="red", weight=0]; 513[label="xy4000 == xy3000",fontsize=16,color="magenta"];513 -> 583[label="",style="dashed", color="magenta", weight=3]; 513 -> 584[label="",style="dashed", color="magenta", weight=3]; 514 -> 362[label="",style="dashed", color="red", weight=0]; 514[label="xy4000 == xy3000",fontsize=16,color="magenta"];514 -> 585[label="",style="dashed", color="magenta", weight=3]; 514 -> 586[label="",style="dashed", color="magenta", weight=3]; 515 -> 363[label="",style="dashed", color="red", weight=0]; 515[label="xy4000 == xy3000",fontsize=16,color="magenta"];515 -> 587[label="",style="dashed", color="magenta", weight=3]; 515 -> 588[label="",style="dashed", color="magenta", weight=3]; 516 -> 364[label="",style="dashed", color="red", weight=0]; 516[label="xy4000 == xy3000",fontsize=16,color="magenta"];516 -> 589[label="",style="dashed", color="magenta", weight=3]; 516 -> 590[label="",style="dashed", color="magenta", weight=3]; 517 -> 365[label="",style="dashed", color="red", weight=0]; 517[label="xy4000 == xy3000",fontsize=16,color="magenta"];517 -> 591[label="",style="dashed", color="magenta", weight=3]; 517 -> 592[label="",style="dashed", color="magenta", weight=3]; 518 -> 366[label="",style="dashed", color="red", weight=0]; 518[label="xy4000 == xy3000",fontsize=16,color="magenta"];518 -> 593[label="",style="dashed", color="magenta", weight=3]; 518 -> 594[label="",style="dashed", color="magenta", weight=3]; 519 -> 367[label="",style="dashed", color="red", weight=0]; 519[label="xy4000 == xy3000",fontsize=16,color="magenta"];519 -> 595[label="",style="dashed", color="magenta", weight=3]; 519 -> 596[label="",style="dashed", color="magenta", weight=3]; 520[label="xy4000 == xy3000",fontsize=16,color="blue",shape="box"];1170[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];520 -> 1170[label="",style="solid", color="blue", weight=9]; 1170 -> 597[label="",style="solid", color="blue", weight=3]; 1171[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];520 -> 1171[label="",style="solid", color="blue", weight=9]; 1171 -> 598[label="",style="solid", color="blue", weight=3]; 521[label="xy4001 == xy3001",fontsize=16,color="blue",shape="box"];1172[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];521 -> 1172[label="",style="solid", color="blue", weight=9]; 1172 -> 599[label="",style="solid", color="blue", weight=3]; 1173[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];521 -> 1173[label="",style="solid", color="blue", weight=9]; 1173 -> 600[label="",style="solid", color="blue", weight=3]; 522[label="xy3000",fontsize=16,color="green",shape="box"];523[label="xy4000",fontsize=16,color="green",shape="box"];524 -> 360[label="",style="dashed", color="red", weight=0]; 524[label="xy4000 * xy3001 == xy4001 * xy3000",fontsize=16,color="magenta"];524 -> 601[label="",style="dashed", color="magenta", weight=3]; 524 -> 602[label="",style="dashed", color="magenta", weight=3]; 525[label="xy4000 == xy3000",fontsize=16,color="blue",shape="box"];1174[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];525 -> 1174[label="",style="solid", color="blue", weight=9]; 1174 -> 603[label="",style="solid", color="blue", weight=3]; 1175[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];525 -> 1175[label="",style="solid", color="blue", weight=9]; 1175 -> 604[label="",style="solid", color="blue", weight=3]; 1176[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];525 -> 1176[label="",style="solid", color="blue", weight=9]; 1176 -> 605[label="",style="solid", color="blue", weight=3]; 1177[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];525 -> 1177[label="",style="solid", color="blue", weight=9]; 1177 -> 606[label="",style="solid", color="blue", weight=3]; 1178[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];525 -> 1178[label="",style="solid", color="blue", weight=9]; 1178 -> 607[label="",style="solid", color="blue", weight=3]; 1179[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];525 -> 1179[label="",style="solid", color="blue", weight=9]; 1179 -> 608[label="",style="solid", color="blue", weight=3]; 1180[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];525 -> 1180[label="",style="solid", color="blue", weight=9]; 1180 -> 609[label="",style="solid", color="blue", weight=3]; 1181[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];525 -> 1181[label="",style="solid", color="blue", weight=9]; 1181 -> 610[label="",style="solid", color="blue", weight=3]; 1182[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];525 -> 1182[label="",style="solid", color="blue", weight=9]; 1182 -> 611[label="",style="solid", color="blue", weight=3]; 1183[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];525 -> 1183[label="",style="solid", color="blue", weight=9]; 1183 -> 612[label="",style="solid", color="blue", weight=3]; 1184[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];525 -> 1184[label="",style="solid", color="blue", weight=9]; 1184 -> 613[label="",style="solid", color="blue", weight=3]; 1185[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];525 -> 1185[label="",style="solid", color="blue", weight=9]; 1185 -> 614[label="",style="solid", color="blue", weight=3]; 1186[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];525 -> 1186[label="",style="solid", color="blue", weight=9]; 1186 -> 615[label="",style="solid", color="blue", weight=3]; 1187[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];525 -> 1187[label="",style="solid", color="blue", weight=9]; 1187 -> 616[label="",style="solid", color="blue", weight=3]; 526[label="xy4001 == xy3001",fontsize=16,color="blue",shape="box"];1188[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];526 -> 1188[label="",style="solid", color="blue", weight=9]; 1188 -> 617[label="",style="solid", color="blue", weight=3]; 1189[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];526 -> 1189[label="",style="solid", color="blue", weight=9]; 1189 -> 618[label="",style="solid", color="blue", weight=3]; 1190[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];526 -> 1190[label="",style="solid", color="blue", weight=9]; 1190 -> 619[label="",style="solid", color="blue", weight=3]; 1191[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];526 -> 1191[label="",style="solid", color="blue", weight=9]; 1191 -> 620[label="",style="solid", color="blue", weight=3]; 1192[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];526 -> 1192[label="",style="solid", color="blue", weight=9]; 1192 -> 621[label="",style="solid", color="blue", weight=3]; 1193[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];526 -> 1193[label="",style="solid", color="blue", weight=9]; 1193 -> 622[label="",style="solid", color="blue", weight=3]; 1194[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];526 -> 1194[label="",style="solid", color="blue", weight=9]; 1194 -> 623[label="",style="solid", color="blue", weight=3]; 1195[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];526 -> 1195[label="",style="solid", color="blue", weight=9]; 1195 -> 624[label="",style="solid", color="blue", weight=3]; 1196[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];526 -> 1196[label="",style="solid", color="blue", weight=9]; 1196 -> 625[label="",style="solid", color="blue", weight=3]; 1197[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];526 -> 1197[label="",style="solid", color="blue", weight=9]; 1197 -> 626[label="",style="solid", color="blue", weight=3]; 1198[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];526 -> 1198[label="",style="solid", color="blue", weight=9]; 1198 -> 627[label="",style="solid", color="blue", weight=3]; 1199[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];526 -> 1199[label="",style="solid", color="blue", weight=9]; 1199 -> 628[label="",style="solid", color="blue", weight=3]; 1200[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];526 -> 1200[label="",style="solid", color="blue", weight=9]; 1200 -> 629[label="",style="solid", color="blue", weight=3]; 1201[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];526 -> 1201[label="",style="solid", color="blue", weight=9]; 1201 -> 630[label="",style="solid", color="blue", weight=3]; 527[label="primEqInt (Pos (Succ xy40000)) (Pos xy3000)",fontsize=16,color="burlywood",shape="box"];1202[label="xy3000/Succ xy30000",fontsize=10,color="white",style="solid",shape="box"];527 -> 1202[label="",style="solid", color="burlywood", weight=9]; 1202 -> 631[label="",style="solid", color="burlywood", weight=3]; 1203[label="xy3000/Zero",fontsize=10,color="white",style="solid",shape="box"];527 -> 1203[label="",style="solid", color="burlywood", weight=9]; 1203 -> 632[label="",style="solid", color="burlywood", weight=3]; 528[label="primEqInt (Pos (Succ xy40000)) (Neg xy3000)",fontsize=16,color="black",shape="box"];528 -> 633[label="",style="solid", color="black", weight=3]; 529[label="primEqInt (Pos Zero) (Pos xy3000)",fontsize=16,color="burlywood",shape="box"];1204[label="xy3000/Succ xy30000",fontsize=10,color="white",style="solid",shape="box"];529 -> 1204[label="",style="solid", color="burlywood", weight=9]; 1204 -> 634[label="",style="solid", color="burlywood", weight=3]; 1205[label="xy3000/Zero",fontsize=10,color="white",style="solid",shape="box"];529 -> 1205[label="",style="solid", color="burlywood", weight=9]; 1205 -> 635[label="",style="solid", color="burlywood", weight=3]; 530[label="primEqInt (Pos Zero) (Neg xy3000)",fontsize=16,color="burlywood",shape="box"];1206[label="xy3000/Succ xy30000",fontsize=10,color="white",style="solid",shape="box"];530 -> 1206[label="",style="solid", color="burlywood", weight=9]; 1206 -> 636[label="",style="solid", color="burlywood", weight=3]; 1207[label="xy3000/Zero",fontsize=10,color="white",style="solid",shape="box"];530 -> 1207[label="",style="solid", color="burlywood", weight=9]; 1207 -> 637[label="",style="solid", color="burlywood", weight=3]; 531[label="primEqInt (Neg (Succ xy40000)) (Pos xy3000)",fontsize=16,color="black",shape="box"];531 -> 638[label="",style="solid", color="black", weight=3]; 532[label="primEqInt (Neg (Succ xy40000)) (Neg xy3000)",fontsize=16,color="burlywood",shape="box"];1208[label="xy3000/Succ xy30000",fontsize=10,color="white",style="solid",shape="box"];532 -> 1208[label="",style="solid", color="burlywood", weight=9]; 1208 -> 639[label="",style="solid", color="burlywood", weight=3]; 1209[label="xy3000/Zero",fontsize=10,color="white",style="solid",shape="box"];532 -> 1209[label="",style="solid", color="burlywood", weight=9]; 1209 -> 640[label="",style="solid", color="burlywood", weight=3]; 533[label="primEqInt (Neg Zero) (Pos xy3000)",fontsize=16,color="burlywood",shape="box"];1210[label="xy3000/Succ xy30000",fontsize=10,color="white",style="solid",shape="box"];533 -> 1210[label="",style="solid", color="burlywood", weight=9]; 1210 -> 641[label="",style="solid", color="burlywood", weight=3]; 1211[label="xy3000/Zero",fontsize=10,color="white",style="solid",shape="box"];533 -> 1211[label="",style="solid", color="burlywood", weight=9]; 1211 -> 642[label="",style="solid", color="burlywood", weight=3]; 534[label="primEqInt (Neg Zero) (Neg xy3000)",fontsize=16,color="burlywood",shape="box"];1212[label="xy3000/Succ xy30000",fontsize=10,color="white",style="solid",shape="box"];534 -> 1212[label="",style="solid", color="burlywood", weight=9]; 1212 -> 643[label="",style="solid", color="burlywood", weight=3]; 1213[label="xy3000/Zero",fontsize=10,color="white",style="solid",shape="box"];534 -> 1213[label="",style="solid", color="burlywood", weight=9]; 1213 -> 644[label="",style="solid", color="burlywood", weight=3]; 535[label="xy4000 == xy3000",fontsize=16,color="blue",shape="box"];1214[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];535 -> 1214[label="",style="solid", color="blue", weight=9]; 1214 -> 645[label="",style="solid", color="blue", weight=3]; 1215[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];535 -> 1215[label="",style="solid", color="blue", weight=9]; 1215 -> 646[label="",style="solid", color="blue", weight=3]; 1216[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];535 -> 1216[label="",style="solid", color="blue", weight=9]; 1216 -> 647[label="",style="solid", color="blue", weight=3]; 1217[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];535 -> 1217[label="",style="solid", color="blue", weight=9]; 1217 -> 648[label="",style="solid", color="blue", weight=3]; 1218[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];535 -> 1218[label="",style="solid", color="blue", weight=9]; 1218 -> 649[label="",style="solid", color="blue", weight=3]; 1219[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];535 -> 1219[label="",style="solid", color="blue", weight=9]; 1219 -> 650[label="",style="solid", color="blue", weight=3]; 1220[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];535 -> 1220[label="",style="solid", color="blue", weight=9]; 1220 -> 651[label="",style="solid", color="blue", weight=3]; 1221[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];535 -> 1221[label="",style="solid", color="blue", weight=9]; 1221 -> 652[label="",style="solid", color="blue", weight=3]; 1222[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];535 -> 1222[label="",style="solid", color="blue", weight=9]; 1222 -> 653[label="",style="solid", color="blue", weight=3]; 1223[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];535 -> 1223[label="",style="solid", color="blue", weight=9]; 1223 -> 654[label="",style="solid", color="blue", weight=3]; 1224[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];535 -> 1224[label="",style="solid", color="blue", weight=9]; 1224 -> 655[label="",style="solid", color="blue", weight=3]; 1225[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];535 -> 1225[label="",style="solid", color="blue", weight=9]; 1225 -> 656[label="",style="solid", color="blue", weight=3]; 1226[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];535 -> 1226[label="",style="solid", color="blue", weight=9]; 1226 -> 657[label="",style="solid", color="blue", weight=3]; 1227[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];535 -> 1227[label="",style="solid", color="blue", weight=9]; 1227 -> 658[label="",style="solid", color="blue", weight=3]; 536 -> 349[label="",style="dashed", color="red", weight=0]; 536[label="xy4001 == xy3001 && xy4002 == xy3002",fontsize=16,color="magenta"];536 -> 659[label="",style="dashed", color="magenta", weight=3]; 536 -> 660[label="",style="dashed", color="magenta", weight=3]; 537[label="primEqNat xy4000 xy3000",fontsize=16,color="burlywood",shape="triangle"];1228[label="xy4000/Succ xy40000",fontsize=10,color="white",style="solid",shape="box"];537 -> 1228[label="",style="solid", color="burlywood", weight=9]; 1228 -> 661[label="",style="solid", color="burlywood", weight=3]; 1229[label="xy4000/Zero",fontsize=10,color="white",style="solid",shape="box"];537 -> 1229[label="",style="solid", color="burlywood", weight=9]; 1229 -> 662[label="",style="solid", color="burlywood", weight=3]; 538[label="xy4000 == xy3000",fontsize=16,color="blue",shape="box"];1230[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];538 -> 1230[label="",style="solid", color="blue", weight=9]; 1230 -> 663[label="",style="solid", color="blue", weight=3]; 1231[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];538 -> 1231[label="",style="solid", color="blue", weight=9]; 1231 -> 664[label="",style="solid", color="blue", weight=3]; 1232[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];538 -> 1232[label="",style="solid", color="blue", weight=9]; 1232 -> 665[label="",style="solid", color="blue", weight=3]; 1233[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];538 -> 1233[label="",style="solid", color="blue", weight=9]; 1233 -> 666[label="",style="solid", color="blue", weight=3]; 1234[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];538 -> 1234[label="",style="solid", color="blue", weight=9]; 1234 -> 667[label="",style="solid", color="blue", weight=3]; 1235[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];538 -> 1235[label="",style="solid", color="blue", weight=9]; 1235 -> 668[label="",style="solid", color="blue", weight=3]; 1236[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];538 -> 1236[label="",style="solid", color="blue", weight=9]; 1236 -> 669[label="",style="solid", color="blue", weight=3]; 1237[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];538 -> 1237[label="",style="solid", color="blue", weight=9]; 1237 -> 670[label="",style="solid", color="blue", weight=3]; 1238[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];538 -> 1238[label="",style="solid", color="blue", weight=9]; 1238 -> 671[label="",style="solid", color="blue", weight=3]; 1239[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];538 -> 1239[label="",style="solid", color="blue", weight=9]; 1239 -> 672[label="",style="solid", color="blue", weight=3]; 1240[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];538 -> 1240[label="",style="solid", color="blue", weight=9]; 1240 -> 673[label="",style="solid", color="blue", weight=3]; 1241[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];538 -> 1241[label="",style="solid", color="blue", weight=9]; 1241 -> 674[label="",style="solid", color="blue", weight=3]; 1242[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];538 -> 1242[label="",style="solid", color="blue", weight=9]; 1242 -> 675[label="",style="solid", color="blue", weight=3]; 1243[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];538 -> 1243[label="",style="solid", color="blue", weight=9]; 1243 -> 676[label="",style="solid", color="blue", weight=3]; 539 -> 365[label="",style="dashed", color="red", weight=0]; 539[label="xy4001 == xy3001",fontsize=16,color="magenta"];539 -> 677[label="",style="dashed", color="magenta", weight=3]; 539 -> 678[label="",style="dashed", color="magenta", weight=3]; 540 -> 360[label="",style="dashed", color="red", weight=0]; 540[label="xy4000 * xy3001 == xy4001 * xy3000",fontsize=16,color="magenta"];540 -> 679[label="",style="dashed", color="magenta", weight=3]; 540 -> 680[label="",style="dashed", color="magenta", weight=3]; 541 -> 354[label="",style="dashed", color="red", weight=0]; 541[label="xy4000 == xy3000",fontsize=16,color="magenta"];541 -> 681[label="",style="dashed", color="magenta", weight=3]; 541 -> 682[label="",style="dashed", color="magenta", weight=3]; 542 -> 355[label="",style="dashed", color="red", weight=0]; 542[label="xy4000 == xy3000",fontsize=16,color="magenta"];542 -> 683[label="",style="dashed", color="magenta", weight=3]; 542 -> 684[label="",style="dashed", color="magenta", weight=3]; 543 -> 356[label="",style="dashed", color="red", weight=0]; 543[label="xy4000 == xy3000",fontsize=16,color="magenta"];543 -> 685[label="",style="dashed", color="magenta", weight=3]; 543 -> 686[label="",style="dashed", color="magenta", weight=3]; 544 -> 357[label="",style="dashed", color="red", weight=0]; 544[label="xy4000 == xy3000",fontsize=16,color="magenta"];544 -> 687[label="",style="dashed", color="magenta", weight=3]; 544 -> 688[label="",style="dashed", color="magenta", weight=3]; 545 -> 358[label="",style="dashed", color="red", weight=0]; 545[label="xy4000 == xy3000",fontsize=16,color="magenta"];545 -> 689[label="",style="dashed", color="magenta", weight=3]; 545 -> 690[label="",style="dashed", color="magenta", weight=3]; 546 -> 359[label="",style="dashed", color="red", weight=0]; 546[label="xy4000 == xy3000",fontsize=16,color="magenta"];546 -> 691[label="",style="dashed", color="magenta", weight=3]; 546 -> 692[label="",style="dashed", color="magenta", weight=3]; 547 -> 360[label="",style="dashed", color="red", weight=0]; 547[label="xy4000 == xy3000",fontsize=16,color="magenta"];547 -> 693[label="",style="dashed", color="magenta", weight=3]; 547 -> 694[label="",style="dashed", color="magenta", weight=3]; 548 -> 361[label="",style="dashed", color="red", weight=0]; 548[label="xy4000 == xy3000",fontsize=16,color="magenta"];548 -> 695[label="",style="dashed", color="magenta", weight=3]; 548 -> 696[label="",style="dashed", color="magenta", weight=3]; 549 -> 362[label="",style="dashed", color="red", weight=0]; 549[label="xy4000 == xy3000",fontsize=16,color="magenta"];549 -> 697[label="",style="dashed", color="magenta", weight=3]; 549 -> 698[label="",style="dashed", color="magenta", weight=3]; 550 -> 363[label="",style="dashed", color="red", weight=0]; 550[label="xy4000 == xy3000",fontsize=16,color="magenta"];550 -> 699[label="",style="dashed", color="magenta", weight=3]; 550 -> 700[label="",style="dashed", color="magenta", weight=3]; 551 -> 364[label="",style="dashed", color="red", weight=0]; 551[label="xy4000 == xy3000",fontsize=16,color="magenta"];551 -> 701[label="",style="dashed", color="magenta", weight=3]; 551 -> 702[label="",style="dashed", color="magenta", weight=3]; 552 -> 365[label="",style="dashed", color="red", weight=0]; 552[label="xy4000 == xy3000",fontsize=16,color="magenta"];552 -> 703[label="",style="dashed", color="magenta", weight=3]; 552 -> 704[label="",style="dashed", color="magenta", weight=3]; 553 -> 366[label="",style="dashed", color="red", weight=0]; 553[label="xy4000 == xy3000",fontsize=16,color="magenta"];553 -> 705[label="",style="dashed", color="magenta", weight=3]; 553 -> 706[label="",style="dashed", color="magenta", weight=3]; 554 -> 367[label="",style="dashed", color="red", weight=0]; 554[label="xy4000 == xy3000",fontsize=16,color="magenta"];554 -> 707[label="",style="dashed", color="magenta", weight=3]; 554 -> 708[label="",style="dashed", color="magenta", weight=3]; 555 -> 354[label="",style="dashed", color="red", weight=0]; 555[label="xy4000 == xy3000",fontsize=16,color="magenta"];555 -> 709[label="",style="dashed", color="magenta", weight=3]; 555 -> 710[label="",style="dashed", color="magenta", weight=3]; 556 -> 355[label="",style="dashed", color="red", weight=0]; 556[label="xy4000 == xy3000",fontsize=16,color="magenta"];556 -> 711[label="",style="dashed", color="magenta", weight=3]; 556 -> 712[label="",style="dashed", color="magenta", weight=3]; 557 -> 356[label="",style="dashed", color="red", weight=0]; 557[label="xy4000 == xy3000",fontsize=16,color="magenta"];557 -> 713[label="",style="dashed", color="magenta", weight=3]; 557 -> 714[label="",style="dashed", color="magenta", weight=3]; 558 -> 357[label="",style="dashed", color="red", weight=0]; 558[label="xy4000 == xy3000",fontsize=16,color="magenta"];558 -> 715[label="",style="dashed", color="magenta", weight=3]; 558 -> 716[label="",style="dashed", color="magenta", weight=3]; 559 -> 358[label="",style="dashed", color="red", weight=0]; 559[label="xy4000 == xy3000",fontsize=16,color="magenta"];559 -> 717[label="",style="dashed", color="magenta", weight=3]; 559 -> 718[label="",style="dashed", color="magenta", weight=3]; 560 -> 359[label="",style="dashed", color="red", weight=0]; 560[label="xy4000 == xy3000",fontsize=16,color="magenta"];560 -> 719[label="",style="dashed", color="magenta", weight=3]; 560 -> 720[label="",style="dashed", color="magenta", weight=3]; 561 -> 360[label="",style="dashed", color="red", weight=0]; 561[label="xy4000 == xy3000",fontsize=16,color="magenta"];561 -> 721[label="",style="dashed", color="magenta", weight=3]; 561 -> 722[label="",style="dashed", color="magenta", weight=3]; 562 -> 361[label="",style="dashed", color="red", weight=0]; 562[label="xy4000 == xy3000",fontsize=16,color="magenta"];562 -> 723[label="",style="dashed", color="magenta", weight=3]; 562 -> 724[label="",style="dashed", color="magenta", weight=3]; 563 -> 362[label="",style="dashed", color="red", weight=0]; 563[label="xy4000 == xy3000",fontsize=16,color="magenta"];563 -> 725[label="",style="dashed", color="magenta", weight=3]; 563 -> 726[label="",style="dashed", color="magenta", weight=3]; 564 -> 363[label="",style="dashed", color="red", weight=0]; 564[label="xy4000 == xy3000",fontsize=16,color="magenta"];564 -> 727[label="",style="dashed", color="magenta", weight=3]; 564 -> 728[label="",style="dashed", color="magenta", weight=3]; 565 -> 364[label="",style="dashed", color="red", weight=0]; 565[label="xy4000 == xy3000",fontsize=16,color="magenta"];565 -> 729[label="",style="dashed", color="magenta", weight=3]; 565 -> 730[label="",style="dashed", color="magenta", weight=3]; 566 -> 365[label="",style="dashed", color="red", weight=0]; 566[label="xy4000 == xy3000",fontsize=16,color="magenta"];566 -> 731[label="",style="dashed", color="magenta", weight=3]; 566 -> 732[label="",style="dashed", color="magenta", weight=3]; 567 -> 366[label="",style="dashed", color="red", weight=0]; 567[label="xy4000 == xy3000",fontsize=16,color="magenta"];567 -> 733[label="",style="dashed", color="magenta", weight=3]; 567 -> 734[label="",style="dashed", color="magenta", weight=3]; 568 -> 367[label="",style="dashed", color="red", weight=0]; 568[label="xy4000 == xy3000",fontsize=16,color="magenta"];568 -> 735[label="",style="dashed", color="magenta", weight=3]; 568 -> 736[label="",style="dashed", color="magenta", weight=3]; 569[label="xy3000",fontsize=16,color="green",shape="box"];570[label="xy4000",fontsize=16,color="green",shape="box"];571[label="xy3000",fontsize=16,color="green",shape="box"];572[label="xy4000",fontsize=16,color="green",shape="box"];573[label="xy3000",fontsize=16,color="green",shape="box"];574[label="xy4000",fontsize=16,color="green",shape="box"];575[label="xy3000",fontsize=16,color="green",shape="box"];576[label="xy4000",fontsize=16,color="green",shape="box"];577[label="xy3000",fontsize=16,color="green",shape="box"];578[label="xy4000",fontsize=16,color="green",shape="box"];579[label="xy3000",fontsize=16,color="green",shape="box"];580[label="xy4000",fontsize=16,color="green",shape="box"];581[label="xy3000",fontsize=16,color="green",shape="box"];582[label="xy4000",fontsize=16,color="green",shape="box"];583[label="xy3000",fontsize=16,color="green",shape="box"];584[label="xy4000",fontsize=16,color="green",shape="box"];585[label="xy3000",fontsize=16,color="green",shape="box"];586[label="xy4000",fontsize=16,color="green",shape="box"];587[label="xy3000",fontsize=16,color="green",shape="box"];588[label="xy4000",fontsize=16,color="green",shape="box"];589[label="xy3000",fontsize=16,color="green",shape="box"];590[label="xy4000",fontsize=16,color="green",shape="box"];591[label="xy3000",fontsize=16,color="green",shape="box"];592[label="xy4000",fontsize=16,color="green",shape="box"];593[label="xy3000",fontsize=16,color="green",shape="box"];594[label="xy4000",fontsize=16,color="green",shape="box"];595[label="xy3000",fontsize=16,color="green",shape="box"];596[label="xy4000",fontsize=16,color="green",shape="box"];597 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xy3000",fontsize=16,color="black",shape="triangle"];601 -> 745[label="",style="solid", color="black", weight=3]; 602 -> 601[label="",style="dashed", color="red", weight=0]; 602[label="xy4000 * xy3001",fontsize=16,color="magenta"];602 -> 746[label="",style="dashed", color="magenta", weight=3]; 602 -> 747[label="",style="dashed", color="magenta", weight=3]; 603 -> 354[label="",style="dashed", color="red", weight=0]; 603[label="xy4000 == xy3000",fontsize=16,color="magenta"];603 -> 748[label="",style="dashed", color="magenta", weight=3]; 603 -> 749[label="",style="dashed", color="magenta", weight=3]; 604 -> 355[label="",style="dashed", color="red", weight=0]; 604[label="xy4000 == xy3000",fontsize=16,color="magenta"];604 -> 750[label="",style="dashed", color="magenta", weight=3]; 604 -> 751[label="",style="dashed", color="magenta", weight=3]; 605 -> 356[label="",style="dashed", color="red", weight=0]; 605[label="xy4000 == xy3000",fontsize=16,color="magenta"];605 -> 752[label="",style="dashed", color="magenta", weight=3]; 605 -> 753[label="",style="dashed", color="magenta", weight=3]; 606 -> 357[label="",style="dashed", color="red", weight=0]; 606[label="xy4000 == xy3000",fontsize=16,color="magenta"];606 -> 754[label="",style="dashed", color="magenta", weight=3]; 606 -> 755[label="",style="dashed", color="magenta", weight=3]; 607 -> 358[label="",style="dashed", color="red", weight=0]; 607[label="xy4000 == xy3000",fontsize=16,color="magenta"];607 -> 756[label="",style="dashed", color="magenta", weight=3]; 607 -> 757[label="",style="dashed", color="magenta", weight=3]; 608 -> 359[label="",style="dashed", color="red", weight=0]; 608[label="xy4000 == xy3000",fontsize=16,color="magenta"];608 -> 758[label="",style="dashed", color="magenta", weight=3]; 608 -> 759[label="",style="dashed", color="magenta", weight=3]; 609 -> 360[label="",style="dashed", color="red", weight=0]; 609[label="xy4000 == xy3000",fontsize=16,color="magenta"];609 -> 760[label="",style="dashed", color="magenta", weight=3]; 609 -> 761[label="",style="dashed", color="magenta", weight=3]; 610 -> 361[label="",style="dashed", color="red", weight=0]; 610[label="xy4000 == xy3000",fontsize=16,color="magenta"];610 -> 762[label="",style="dashed", color="magenta", weight=3]; 610 -> 763[label="",style="dashed", color="magenta", weight=3]; 611 -> 362[label="",style="dashed", color="red", weight=0]; 611[label="xy4000 == xy3000",fontsize=16,color="magenta"];611 -> 764[label="",style="dashed", color="magenta", weight=3]; 611 -> 765[label="",style="dashed", color="magenta", weight=3]; 612 -> 363[label="",style="dashed", color="red", weight=0]; 612[label="xy4000 == xy3000",fontsize=16,color="magenta"];612 -> 766[label="",style="dashed", color="magenta", weight=3]; 612 -> 767[label="",style="dashed", color="magenta", weight=3]; 613 -> 364[label="",style="dashed", color="red", weight=0]; 613[label="xy4000 == xy3000",fontsize=16,color="magenta"];613 -> 768[label="",style="dashed", color="magenta", weight=3]; 613 -> 769[label="",style="dashed", color="magenta", weight=3]; 614 -> 365[label="",style="dashed", color="red", weight=0]; 614[label="xy4000 == xy3000",fontsize=16,color="magenta"];614 -> 770[label="",style="dashed", color="magenta", weight=3]; 614 -> 771[label="",style="dashed", color="magenta", weight=3]; 615 -> 366[label="",style="dashed", color="red", weight=0]; 615[label="xy4000 == xy3000",fontsize=16,color="magenta"];615 -> 772[label="",style="dashed", color="magenta", weight=3]; 615 -> 773[label="",style="dashed", color="magenta", weight=3]; 616 -> 367[label="",style="dashed", color="red", weight=0]; 616[label="xy4000 == xy3000",fontsize=16,color="magenta"];616 -> 774[label="",style="dashed", color="magenta", weight=3]; 616 -> 775[label="",style="dashed", color="magenta", weight=3]; 617 -> 354[label="",style="dashed", color="red", weight=0]; 617[label="xy4001 == xy3001",fontsize=16,color="magenta"];617 -> 776[label="",style="dashed", color="magenta", weight=3]; 617 -> 777[label="",style="dashed", color="magenta", weight=3]; 618 -> 355[label="",style="dashed", color="red", weight=0]; 618[label="xy4001 == xy3001",fontsize=16,color="magenta"];618 -> 778[label="",style="dashed", color="magenta", weight=3]; 618 -> 779[label="",style="dashed", color="magenta", weight=3]; 619 -> 356[label="",style="dashed", color="red", weight=0]; 619[label="xy4001 == xy3001",fontsize=16,color="magenta"];619 -> 780[label="",style="dashed", color="magenta", weight=3]; 619 -> 781[label="",style="dashed", color="magenta", weight=3]; 620 -> 357[label="",style="dashed", color="red", weight=0]; 620[label="xy4001 == xy3001",fontsize=16,color="magenta"];620 -> 782[label="",style="dashed", color="magenta", weight=3]; 620 -> 783[label="",style="dashed", color="magenta", weight=3]; 621 -> 358[label="",style="dashed", color="red", weight=0]; 621[label="xy4001 == xy3001",fontsize=16,color="magenta"];621 -> 784[label="",style="dashed", color="magenta", weight=3]; 621 -> 785[label="",style="dashed", color="magenta", weight=3]; 622 -> 359[label="",style="dashed", color="red", weight=0]; 622[label="xy4001 == xy3001",fontsize=16,color="magenta"];622 -> 786[label="",style="dashed", color="magenta", weight=3]; 622 -> 787[label="",style="dashed", color="magenta", weight=3]; 623 -> 360[label="",style="dashed", color="red", weight=0]; 623[label="xy4001 == xy3001",fontsize=16,color="magenta"];623 -> 788[label="",style="dashed", color="magenta", weight=3]; 623 -> 789[label="",style="dashed", color="magenta", weight=3]; 624 -> 361[label="",style="dashed", color="red", weight=0]; 624[label="xy4001 == xy3001",fontsize=16,color="magenta"];624 -> 790[label="",style="dashed", color="magenta", weight=3]; 624 -> 791[label="",style="dashed", color="magenta", weight=3]; 625 -> 362[label="",style="dashed", color="red", weight=0]; 625[label="xy4001 == xy3001",fontsize=16,color="magenta"];625 -> 792[label="",style="dashed", color="magenta", weight=3]; 625 -> 793[label="",style="dashed", color="magenta", weight=3]; 626 -> 363[label="",style="dashed", color="red", weight=0]; 626[label="xy4001 == xy3001",fontsize=16,color="magenta"];626 -> 794[label="",style="dashed", color="magenta", weight=3]; 626 -> 795[label="",style="dashed", color="magenta", weight=3]; 627 -> 364[label="",style="dashed", color="red", weight=0]; 627[label="xy4001 == xy3001",fontsize=16,color="magenta"];627 -> 796[label="",style="dashed", color="magenta", weight=3]; 627 -> 797[label="",style="dashed", color="magenta", weight=3]; 628 -> 365[label="",style="dashed", color="red", weight=0]; 628[label="xy4001 == xy3001",fontsize=16,color="magenta"];628 -> 798[label="",style="dashed", color="magenta", weight=3]; 628 -> 799[label="",style="dashed", color="magenta", weight=3]; 629 -> 366[label="",style="dashed", color="red", weight=0]; 629[label="xy4001 == xy3001",fontsize=16,color="magenta"];629 -> 800[label="",style="dashed", color="magenta", weight=3]; 629 -> 801[label="",style="dashed", color="magenta", weight=3]; 630 -> 367[label="",style="dashed", color="red", weight=0]; 630[label="xy4001 == xy3001",fontsize=16,color="magenta"];630 -> 802[label="",style="dashed", color="magenta", weight=3]; 630 -> 803[label="",style="dashed", color="magenta", weight=3]; 631[label="primEqInt (Pos (Succ xy40000)) (Pos (Succ xy30000))",fontsize=16,color="black",shape="box"];631 -> 804[label="",style="solid", color="black", weight=3]; 632[label="primEqInt (Pos (Succ xy40000)) (Pos Zero)",fontsize=16,color="black",shape="box"];632 -> 805[label="",style="solid", color="black", weight=3]; 633[label="False",fontsize=16,color="green",shape="box"];634[label="primEqInt (Pos Zero) (Pos (Succ xy30000))",fontsize=16,color="black",shape="box"];634 -> 806[label="",style="solid", color="black", weight=3]; 635[label="primEqInt (Pos Zero) (Pos Zero)",fontsize=16,color="black",shape="box"];635 -> 807[label="",style="solid", color="black", weight=3]; 636[label="primEqInt (Pos Zero) (Neg (Succ xy30000))",fontsize=16,color="black",shape="box"];636 -> 808[label="",style="solid", color="black", weight=3]; 637[label="primEqInt (Pos Zero) (Neg Zero)",fontsize=16,color="black",shape="box"];637 -> 809[label="",style="solid", color="black", weight=3]; 638[label="False",fontsize=16,color="green",shape="box"];639[label="primEqInt (Neg (Succ xy40000)) (Neg (Succ xy30000))",fontsize=16,color="black",shape="box"];639 -> 810[label="",style="solid", color="black", weight=3]; 640[label="primEqInt (Neg (Succ xy40000)) (Neg Zero)",fontsize=16,color="black",shape="box"];640 -> 811[label="",style="solid", color="black", weight=3]; 641[label="primEqInt (Neg Zero) (Pos (Succ xy30000))",fontsize=16,color="black",shape="box"];641 -> 812[label="",style="solid", color="black", weight=3]; 642[label="primEqInt (Neg Zero) (Pos Zero)",fontsize=16,color="black",shape="box"];642 -> 813[label="",style="solid", color="black", weight=3]; 643[label="primEqInt (Neg Zero) (Neg (Succ xy30000))",fontsize=16,color="black",shape="box"];643 -> 814[label="",style="solid", color="black", weight=3]; 644[label="primEqInt (Neg Zero) (Neg Zero)",fontsize=16,color="black",shape="box"];644 -> 815[label="",style="solid", color="black", weight=3]; 645 -> 354[label="",style="dashed", color="red", weight=0]; 645[label="xy4000 == xy3000",fontsize=16,color="magenta"];645 -> 816[label="",style="dashed", color="magenta", weight=3]; 645 -> 817[label="",style="dashed", color="magenta", weight=3]; 646 -> 355[label="",style="dashed", color="red", weight=0]; 646[label="xy4000 == xy3000",fontsize=16,color="magenta"];646 -> 818[label="",style="dashed", color="magenta", weight=3]; 646 -> 819[label="",style="dashed", color="magenta", weight=3]; 647 -> 356[label="",style="dashed", color="red", weight=0]; 647[label="xy4000 == xy3000",fontsize=16,color="magenta"];647 -> 820[label="",style="dashed", color="magenta", weight=3]; 647 -> 821[label="",style="dashed", color="magenta", weight=3]; 648 -> 357[label="",style="dashed", color="red", weight=0]; 648[label="xy4000 == xy3000",fontsize=16,color="magenta"];648 -> 822[label="",style="dashed", color="magenta", weight=3]; 648 -> 823[label="",style="dashed", color="magenta", weight=3]; 649 -> 358[label="",style="dashed", color="red", weight=0]; 649[label="xy4000 == xy3000",fontsize=16,color="magenta"];649 -> 824[label="",style="dashed", color="magenta", weight=3]; 649 -> 825[label="",style="dashed", color="magenta", weight=3]; 650 -> 359[label="",style="dashed", color="red", weight=0]; 650[label="xy4000 == xy3000",fontsize=16,color="magenta"];650 -> 826[label="",style="dashed", color="magenta", weight=3]; 650 -> 827[label="",style="dashed", color="magenta", weight=3]; 651 -> 360[label="",style="dashed", color="red", weight=0]; 651[label="xy4000 == xy3000",fontsize=16,color="magenta"];651 -> 828[label="",style="dashed", color="magenta", weight=3]; 651 -> 829[label="",style="dashed", color="magenta", weight=3]; 652 -> 361[label="",style="dashed", color="red", weight=0]; 652[label="xy4000 == xy3000",fontsize=16,color="magenta"];652 -> 830[label="",style="dashed", color="magenta", weight=3]; 652 -> 831[label="",style="dashed", color="magenta", weight=3]; 653 -> 362[label="",style="dashed", color="red", weight=0]; 653[label="xy4000 == xy3000",fontsize=16,color="magenta"];653 -> 832[label="",style="dashed", color="magenta", weight=3]; 653 -> 833[label="",style="dashed", color="magenta", weight=3]; 654 -> 363[label="",style="dashed", color="red", weight=0]; 654[label="xy4000 == xy3000",fontsize=16,color="magenta"];654 -> 834[label="",style="dashed", color="magenta", weight=3]; 654 -> 835[label="",style="dashed", color="magenta", weight=3]; 655 -> 364[label="",style="dashed", color="red", weight=0]; 655[label="xy4000 == xy3000",fontsize=16,color="magenta"];655 -> 836[label="",style="dashed", color="magenta", weight=3]; 655 -> 837[label="",style="dashed", color="magenta", weight=3]; 656 -> 365[label="",style="dashed", color="red", weight=0]; 656[label="xy4000 == xy3000",fontsize=16,color="magenta"];656 -> 838[label="",style="dashed", color="magenta", weight=3]; 656 -> 839[label="",style="dashed", color="magenta", weight=3]; 657 -> 366[label="",style="dashed", color="red", weight=0]; 657[label="xy4000 == xy3000",fontsize=16,color="magenta"];657 -> 840[label="",style="dashed", color="magenta", weight=3]; 657 -> 841[label="",style="dashed", color="magenta", weight=3]; 658 -> 367[label="",style="dashed", color="red", weight=0]; 658[label="xy4000 == xy3000",fontsize=16,color="magenta"];658 -> 842[label="",style="dashed", color="magenta", weight=3]; 658 -> 843[label="",style="dashed", color="magenta", weight=3]; 659[label="xy4001 == xy3001",fontsize=16,color="blue",shape="box"];1244[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];659 -> 1244[label="",style="solid", color="blue", weight=9]; 1244 -> 844[label="",style="solid", color="blue", weight=3]; 1245[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];659 -> 1245[label="",style="solid", color="blue", weight=9]; 1245 -> 845[label="",style="solid", color="blue", weight=3]; 1246[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];659 -> 1246[label="",style="solid", color="blue", weight=9]; 1246 -> 846[label="",style="solid", color="blue", weight=3]; 1247[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];659 -> 1247[label="",style="solid", color="blue", weight=9]; 1247 -> 847[label="",style="solid", color="blue", weight=3]; 1248[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];659 -> 1248[label="",style="solid", color="blue", weight=9]; 1248 -> 848[label="",style="solid", color="blue", weight=3]; 1249[label="== :: ((@2) a 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color="blue", weight=9]; 1253 -> 853[label="",style="solid", color="blue", weight=3]; 1254[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];659 -> 1254[label="",style="solid", color="blue", weight=9]; 1254 -> 854[label="",style="solid", color="blue", weight=3]; 1255[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];659 -> 1255[label="",style="solid", color="blue", weight=9]; 1255 -> 855[label="",style="solid", color="blue", weight=3]; 1256[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];659 -> 1256[label="",style="solid", color="blue", weight=9]; 1256 -> 856[label="",style="solid", color="blue", weight=3]; 1257[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];659 -> 1257[label="",style="solid", color="blue", weight=9]; 1257 -> 857[label="",style="solid", color="blue", weight=3]; 660[label="xy4002 == xy3002",fontsize=16,color="blue",shape="box"];1258[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];660 -> 1258[label="",style="solid", color="blue", weight=9]; 1258 -> 858[label="",style="solid", color="blue", weight=3]; 1259[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];660 -> 1259[label="",style="solid", color="blue", weight=9]; 1259 -> 859[label="",style="solid", color="blue", weight=3]; 1260[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];660 -> 1260[label="",style="solid", color="blue", weight=9]; 1260 -> 860[label="",style="solid", color="blue", weight=3]; 1261[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];660 -> 1261[label="",style="solid", color="blue", weight=9]; 1261 -> 861[label="",style="solid", color="blue", weight=3]; 1262[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];660 -> 1262[label="",style="solid", color="blue", weight=9]; 1262 -> 862[label="",style="solid", color="blue", weight=3]; 1263[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];660 -> 1263[label="",style="solid", color="blue", weight=9]; 1263 -> 863[label="",style="solid", color="blue", weight=3]; 1264[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];660 -> 1264[label="",style="solid", color="blue", weight=9]; 1264 -> 864[label="",style="solid", color="blue", weight=3]; 1265[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];660 -> 1265[label="",style="solid", color="blue", weight=9]; 1265 -> 865[label="",style="solid", color="blue", weight=3]; 1266[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];660 -> 1266[label="",style="solid", color="blue", weight=9]; 1266 -> 866[label="",style="solid", color="blue", weight=3]; 1267[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];660 -> 1267[label="",style="solid", color="blue", weight=9]; 1267 -> 867[label="",style="solid", color="blue", weight=3]; 1268[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];660 -> 1268[label="",style="solid", color="blue", weight=9]; 1268 -> 868[label="",style="solid", color="blue", weight=3]; 1269[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];660 -> 1269[label="",style="solid", color="blue", weight=9]; 1269 -> 869[label="",style="solid", color="blue", weight=3]; 1270[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];660 -> 1270[label="",style="solid", color="blue", weight=9]; 1270 -> 870[label="",style="solid", color="blue", weight=3]; 1271[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];660 -> 1271[label="",style="solid", color="blue", weight=9]; 1271 -> 871[label="",style="solid", color="blue", weight=3]; 661[label="primEqNat (Succ xy40000) xy3000",fontsize=16,color="burlywood",shape="box"];1272[label="xy3000/Succ xy30000",fontsize=10,color="white",style="solid",shape="box"];661 -> 1272[label="",style="solid", color="burlywood", weight=9]; 1272 -> 872[label="",style="solid", color="burlywood", weight=3]; 1273[label="xy3000/Zero",fontsize=10,color="white",style="solid",shape="box"];661 -> 1273[label="",style="solid", color="burlywood", weight=9]; 1273 -> 873[label="",style="solid", color="burlywood", weight=3]; 662[label="primEqNat Zero xy3000",fontsize=16,color="burlywood",shape="box"];1274[label="xy3000/Succ xy30000",fontsize=10,color="white",style="solid",shape="box"];662 -> 1274[label="",style="solid", color="burlywood", weight=9]; 1274 -> 874[label="",style="solid", color="burlywood", weight=3]; 1275[label="xy3000/Zero",fontsize=10,color="white",style="solid",shape="box"];662 -> 1275[label="",style="solid", color="burlywood", weight=9]; 1275 -> 875[label="",style="solid", color="burlywood", weight=3]; 663 -> 354[label="",style="dashed", color="red", weight=0]; 663[label="xy4000 == xy3000",fontsize=16,color="magenta"];663 -> 876[label="",style="dashed", color="magenta", weight=3]; 663 -> 877[label="",style="dashed", color="magenta", weight=3]; 664 -> 355[label="",style="dashed", color="red", weight=0]; 664[label="xy4000 == xy3000",fontsize=16,color="magenta"];664 -> 878[label="",style="dashed", color="magenta", weight=3]; 664 -> 879[label="",style="dashed", color="magenta", weight=3]; 665 -> 356[label="",style="dashed", color="red", weight=0]; 665[label="xy4000 == xy3000",fontsize=16,color="magenta"];665 -> 880[label="",style="dashed", color="magenta", weight=3]; 665 -> 881[label="",style="dashed", color="magenta", weight=3]; 666 -> 357[label="",style="dashed", color="red", weight=0]; 666[label="xy4000 == xy3000",fontsize=16,color="magenta"];666 -> 882[label="",style="dashed", color="magenta", weight=3]; 666 -> 883[label="",style="dashed", color="magenta", weight=3]; 667 -> 358[label="",style="dashed", color="red", weight=0]; 667[label="xy4000 == xy3000",fontsize=16,color="magenta"];667 -> 884[label="",style="dashed", color="magenta", weight=3]; 667 -> 885[label="",style="dashed", color="magenta", weight=3]; 668 -> 359[label="",style="dashed", color="red", weight=0]; 668[label="xy4000 == xy3000",fontsize=16,color="magenta"];668 -> 886[label="",style="dashed", color="magenta", weight=3]; 668 -> 887[label="",style="dashed", color="magenta", weight=3]; 669 -> 360[label="",style="dashed", color="red", weight=0]; 669[label="xy4000 == xy3000",fontsize=16,color="magenta"];669 -> 888[label="",style="dashed", color="magenta", weight=3]; 669 -> 889[label="",style="dashed", color="magenta", weight=3]; 670 -> 361[label="",style="dashed", color="red", weight=0]; 670[label="xy4000 == xy3000",fontsize=16,color="magenta"];670 -> 890[label="",style="dashed", color="magenta", weight=3]; 670 -> 891[label="",style="dashed", color="magenta", weight=3]; 671 -> 362[label="",style="dashed", color="red", weight=0]; 671[label="xy4000 == xy3000",fontsize=16,color="magenta"];671 -> 892[label="",style="dashed", color="magenta", weight=3]; 671 -> 893[label="",style="dashed", color="magenta", weight=3]; 672 -> 363[label="",style="dashed", color="red", weight=0]; 672[label="xy4000 == xy3000",fontsize=16,color="magenta"];672 -> 894[label="",style="dashed", color="magenta", weight=3]; 672 -> 895[label="",style="dashed", color="magenta", weight=3]; 673 -> 364[label="",style="dashed", color="red", weight=0]; 673[label="xy4000 == xy3000",fontsize=16,color="magenta"];673 -> 896[label="",style="dashed", color="magenta", weight=3]; 673 -> 897[label="",style="dashed", color="magenta", weight=3]; 674 -> 365[label="",style="dashed", color="red", weight=0]; 674[label="xy4000 == xy3000",fontsize=16,color="magenta"];674 -> 898[label="",style="dashed", color="magenta", weight=3]; 674 -> 899[label="",style="dashed", color="magenta", weight=3]; 675 -> 366[label="",style="dashed", color="red", weight=0]; 675[label="xy4000 == xy3000",fontsize=16,color="magenta"];675 -> 900[label="",style="dashed", color="magenta", weight=3]; 675 -> 901[label="",style="dashed", color="magenta", weight=3]; 676 -> 367[label="",style="dashed", color="red", weight=0]; 676[label="xy4000 == xy3000",fontsize=16,color="magenta"];676 -> 902[label="",style="dashed", color="magenta", weight=3]; 676 -> 903[label="",style="dashed", color="magenta", weight=3]; 677[label="xy3001",fontsize=16,color="green",shape="box"];678[label="xy4001",fontsize=16,color="green",shape="box"];679 -> 601[label="",style="dashed", color="red", weight=0]; 679[label="xy4001 * xy3000",fontsize=16,color="magenta"];679 -> 904[label="",style="dashed", color="magenta", weight=3]; 679 -> 905[label="",style="dashed", color="magenta", weight=3]; 680 -> 601[label="",style="dashed", color="red", weight=0]; 680[label="xy4000 * xy3001",fontsize=16,color="magenta"];680 -> 906[label="",style="dashed", color="magenta", weight=3]; 680 -> 907[label="",style="dashed", color="magenta", weight=3]; 681[label="xy3000",fontsize=16,color="green",shape="box"];682[label="xy4000",fontsize=16,color="green",shape="box"];683[label="xy3000",fontsize=16,color="green",shape="box"];684[label="xy4000",fontsize=16,color="green",shape="box"];685[label="xy3000",fontsize=16,color="green",shape="box"];686[label="xy4000",fontsize=16,color="green",shape="box"];687[label="xy3000",fontsize=16,color="green",shape="box"];688[label="xy4000",fontsize=16,color="green",shape="box"];689[label="xy3000",fontsize=16,color="green",shape="box"];690[label="xy4000",fontsize=16,color="green",shape="box"];691[label="xy3000",fontsize=16,color="green",shape="box"];692[label="xy4000",fontsize=16,color="green",shape="box"];693[label="xy3000",fontsize=16,color="green",shape="box"];694[label="xy4000",fontsize=16,color="green",shape="box"];695[label="xy3000",fontsize=16,color="green",shape="box"];696[label="xy4000",fontsize=16,color="green",shape="box"];697[label="xy3000",fontsize=16,color="green",shape="box"];698[label="xy4000",fontsize=16,color="green",shape="box"];699[label="xy3000",fontsize=16,color="green",shape="box"];700[label="xy4000",fontsize=16,color="green",shape="box"];701[label="xy3000",fontsize=16,color="green",shape="box"];702[label="xy4000",fontsize=16,color="green",shape="box"];703[label="xy3000",fontsize=16,color="green",shape="box"];704[label="xy4000",fontsize=16,color="green",shape="box"];705[label="xy3000",fontsize=16,color="green",shape="box"];706[label="xy4000",fontsize=16,color="green",shape="box"];707[label="xy3000",fontsize=16,color="green",shape="box"];708[label="xy4000",fontsize=16,color="green",shape="box"];709[label="xy3000",fontsize=16,color="green",shape="box"];710[label="xy4000",fontsize=16,color="green",shape="box"];711[label="xy3000",fontsize=16,color="green",shape="box"];712[label="xy4000",fontsize=16,color="green",shape="box"];713[label="xy3000",fontsize=16,color="green",shape="box"];714[label="xy4000",fontsize=16,color="green",shape="box"];715[label="xy3000",fontsize=16,color="green",shape="box"];716[label="xy4000",fontsize=16,color="green",shape="box"];717[label="xy3000",fontsize=16,color="green",shape="box"];718[label="xy4000",fontsize=16,color="green",shape="box"];719[label="xy3000",fontsize=16,color="green",shape="box"];720[label="xy4000",fontsize=16,color="green",shape="box"];721[label="xy3000",fontsize=16,color="green",shape="box"];722[label="xy4000",fontsize=16,color="green",shape="box"];723[label="xy3000",fontsize=16,color="green",shape="box"];724[label="xy4000",fontsize=16,color="green",shape="box"];725[label="xy3000",fontsize=16,color="green",shape="box"];726[label="xy4000",fontsize=16,color="green",shape="box"];727[label="xy3000",fontsize=16,color="green",shape="box"];728[label="xy4000",fontsize=16,color="green",shape="box"];729[label="xy3000",fontsize=16,color="green",shape="box"];730[label="xy4000",fontsize=16,color="green",shape="box"];731[label="xy3000",fontsize=16,color="green",shape="box"];732[label="xy4000",fontsize=16,color="green",shape="box"];733[label="xy3000",fontsize=16,color="green",shape="box"];734[label="xy4000",fontsize=16,color="green",shape="box"];735[label="xy3000",fontsize=16,color="green",shape="box"];736[label="xy4000",fontsize=16,color="green",shape="box"];737[label="xy3000",fontsize=16,color="green",shape="box"];738[label="xy4000",fontsize=16,color="green",shape="box"];739[label="xy3000",fontsize=16,color="green",shape="box"];740[label="xy4000",fontsize=16,color="green",shape="box"];741[label="xy3001",fontsize=16,color="green",shape="box"];742[label="xy4001",fontsize=16,color="green",shape="box"];743[label="xy3001",fontsize=16,color="green",shape="box"];744[label="xy4001",fontsize=16,color="green",shape="box"];745[label="primMulInt xy4001 xy3000",fontsize=16,color="burlywood",shape="box"];1276[label="xy4001/Pos xy40010",fontsize=10,color="white",style="solid",shape="box"];745 -> 1276[label="",style="solid", color="burlywood", weight=9]; 1276 -> 908[label="",style="solid", color="burlywood", weight=3]; 1277[label="xy4001/Neg xy40010",fontsize=10,color="white",style="solid",shape="box"];745 -> 1277[label="",style="solid", color="burlywood", weight=9]; 1277 -> 909[label="",style="solid", color="burlywood", weight=3]; 746[label="xy4000",fontsize=16,color="green",shape="box"];747[label="xy3001",fontsize=16,color="green",shape="box"];748[label="xy3000",fontsize=16,color="green",shape="box"];749[label="xy4000",fontsize=16,color="green",shape="box"];750[label="xy3000",fontsize=16,color="green",shape="box"];751[label="xy4000",fontsize=16,color="green",shape="box"];752[label="xy3000",fontsize=16,color="green",shape="box"];753[label="xy4000",fontsize=16,color="green",shape="box"];754[label="xy3000",fontsize=16,color="green",shape="box"];755[label="xy4000",fontsize=16,color="green",shape="box"];756[label="xy3000",fontsize=16,color="green",shape="box"];757[label="xy4000",fontsize=16,color="green",shape="box"];758[label="xy3000",fontsize=16,color="green",shape="box"];759[label="xy4000",fontsize=16,color="green",shape="box"];760[label="xy3000",fontsize=16,color="green",shape="box"];761[label="xy4000",fontsize=16,color="green",shape="box"];762[label="xy3000",fontsize=16,color="green",shape="box"];763[label="xy4000",fontsize=16,color="green",shape="box"];764[label="xy3000",fontsize=16,color="green",shape="box"];765[label="xy4000",fontsize=16,color="green",shape="box"];766[label="xy3000",fontsize=16,color="green",shape="box"];767[label="xy4000",fontsize=16,color="green",shape="box"];768[label="xy3000",fontsize=16,color="green",shape="box"];769[label="xy4000",fontsize=16,color="green",shape="box"];770[label="xy3000",fontsize=16,color="green",shape="box"];771[label="xy4000",fontsize=16,color="green",shape="box"];772[label="xy3000",fontsize=16,color="green",shape="box"];773[label="xy4000",fontsize=16,color="green",shape="box"];774[label="xy3000",fontsize=16,color="green",shape="box"];775[label="xy4000",fontsize=16,color="green",shape="box"];776[label="xy3001",fontsize=16,color="green",shape="box"];777[label="xy4001",fontsize=16,color="green",shape="box"];778[label="xy3001",fontsize=16,color="green",shape="box"];779[label="xy4001",fontsize=16,color="green",shape="box"];780[label="xy3001",fontsize=16,color="green",shape="box"];781[label="xy4001",fontsize=16,color="green",shape="box"];782[label="xy3001",fontsize=16,color="green",shape="box"];783[label="xy4001",fontsize=16,color="green",shape="box"];784[label="xy3001",fontsize=16,color="green",shape="box"];785[label="xy4001",fontsize=16,color="green",shape="box"];786[label="xy3001",fontsize=16,color="green",shape="box"];787[label="xy4001",fontsize=16,color="green",shape="box"];788[label="xy3001",fontsize=16,color="green",shape="box"];789[label="xy4001",fontsize=16,color="green",shape="box"];790[label="xy3001",fontsize=16,color="green",shape="box"];791[label="xy4001",fontsize=16,color="green",shape="box"];792[label="xy3001",fontsize=16,color="green",shape="box"];793[label="xy4001",fontsize=16,color="green",shape="box"];794[label="xy3001",fontsize=16,color="green",shape="box"];795[label="xy4001",fontsize=16,color="green",shape="box"];796[label="xy3001",fontsize=16,color="green",shape="box"];797[label="xy4001",fontsize=16,color="green",shape="box"];798[label="xy3001",fontsize=16,color="green",shape="box"];799[label="xy4001",fontsize=16,color="green",shape="box"];800[label="xy3001",fontsize=16,color="green",shape="box"];801[label="xy4001",fontsize=16,color="green",shape="box"];802[label="xy3001",fontsize=16,color="green",shape="box"];803[label="xy4001",fontsize=16,color="green",shape="box"];804 -> 537[label="",style="dashed", color="red", weight=0]; 804[label="primEqNat xy40000 xy30000",fontsize=16,color="magenta"];804 -> 910[label="",style="dashed", color="magenta", weight=3]; 804 -> 911[label="",style="dashed", color="magenta", weight=3]; 805[label="False",fontsize=16,color="green",shape="box"];806[label="False",fontsize=16,color="green",shape="box"];807[label="True",fontsize=16,color="green",shape="box"];808[label="False",fontsize=16,color="green",shape="box"];809[label="True",fontsize=16,color="green",shape="box"];810 -> 537[label="",style="dashed", color="red", weight=0]; 810[label="primEqNat xy40000 xy30000",fontsize=16,color="magenta"];810 -> 912[label="",style="dashed", color="magenta", weight=3]; 810 -> 913[label="",style="dashed", color="magenta", weight=3]; 811[label="False",fontsize=16,color="green",shape="box"];812[label="False",fontsize=16,color="green",shape="box"];813[label="True",fontsize=16,color="green",shape="box"];814[label="False",fontsize=16,color="green",shape="box"];815[label="True",fontsize=16,color="green",shape="box"];816[label="xy3000",fontsize=16,color="green",shape="box"];817[label="xy4000",fontsize=16,color="green",shape="box"];818[label="xy3000",fontsize=16,color="green",shape="box"];819[label="xy4000",fontsize=16,color="green",shape="box"];820[label="xy3000",fontsize=16,color="green",shape="box"];821[label="xy4000",fontsize=16,color="green",shape="box"];822[label="xy3000",fontsize=16,color="green",shape="box"];823[label="xy4000",fontsize=16,color="green",shape="box"];824[label="xy3000",fontsize=16,color="green",shape="box"];825[label="xy4000",fontsize=16,color="green",shape="box"];826[label="xy3000",fontsize=16,color="green",shape="box"];827[label="xy4000",fontsize=16,color="green",shape="box"];828[label="xy3000",fontsize=16,color="green",shape="box"];829[label="xy4000",fontsize=16,color="green",shape="box"];830[label="xy3000",fontsize=16,color="green",shape="box"];831[label="xy4000",fontsize=16,color="green",shape="box"];832[label="xy3000",fontsize=16,color="green",shape="box"];833[label="xy4000",fontsize=16,color="green",shape="box"];834[label="xy3000",fontsize=16,color="green",shape="box"];835[label="xy4000",fontsize=16,color="green",shape="box"];836[label="xy3000",fontsize=16,color="green",shape="box"];837[label="xy4000",fontsize=16,color="green",shape="box"];838[label="xy3000",fontsize=16,color="green",shape="box"];839[label="xy4000",fontsize=16,color="green",shape="box"];840[label="xy3000",fontsize=16,color="green",shape="box"];841[label="xy4000",fontsize=16,color="green",shape="box"];842[label="xy3000",fontsize=16,color="green",shape="box"];843[label="xy4000",fontsize=16,color="green",shape="box"];844 -> 354[label="",style="dashed", color="red", weight=0]; 844[label="xy4001 == xy3001",fontsize=16,color="magenta"];844 -> 914[label="",style="dashed", color="magenta", weight=3]; 844 -> 915[label="",style="dashed", color="magenta", weight=3]; 845 -> 355[label="",style="dashed", color="red", weight=0]; 845[label="xy4001 == xy3001",fontsize=16,color="magenta"];845 -> 916[label="",style="dashed", color="magenta", weight=3]; 845 -> 917[label="",style="dashed", color="magenta", weight=3]; 846 -> 356[label="",style="dashed", color="red", weight=0]; 846[label="xy4001 == xy3001",fontsize=16,color="magenta"];846 -> 918[label="",style="dashed", color="magenta", weight=3]; 846 -> 919[label="",style="dashed", color="magenta", weight=3]; 847 -> 357[label="",style="dashed", color="red", weight=0]; 847[label="xy4001 == xy3001",fontsize=16,color="magenta"];847 -> 920[label="",style="dashed", color="magenta", weight=3]; 847 -> 921[label="",style="dashed", color="magenta", weight=3]; 848 -> 358[label="",style="dashed", color="red", weight=0]; 848[label="xy4001 == xy3001",fontsize=16,color="magenta"];848 -> 922[label="",style="dashed", color="magenta", weight=3]; 848 -> 923[label="",style="dashed", color="magenta", weight=3]; 849 -> 359[label="",style="dashed", color="red", weight=0]; 849[label="xy4001 == xy3001",fontsize=16,color="magenta"];849 -> 924[label="",style="dashed", color="magenta", weight=3]; 849 -> 925[label="",style="dashed", color="magenta", weight=3]; 850 -> 360[label="",style="dashed", color="red", weight=0]; 850[label="xy4001 == xy3001",fontsize=16,color="magenta"];850 -> 926[label="",style="dashed", color="magenta", weight=3]; 850 -> 927[label="",style="dashed", color="magenta", weight=3]; 851 -> 361[label="",style="dashed", color="red", weight=0]; 851[label="xy4001 == xy3001",fontsize=16,color="magenta"];851 -> 928[label="",style="dashed", color="magenta", weight=3]; 851 -> 929[label="",style="dashed", color="magenta", weight=3]; 852 -> 362[label="",style="dashed", color="red", weight=0]; 852[label="xy4001 == xy3001",fontsize=16,color="magenta"];852 -> 930[label="",style="dashed", color="magenta", weight=3]; 852 -> 931[label="",style="dashed", color="magenta", weight=3]; 853 -> 363[label="",style="dashed", color="red", weight=0]; 853[label="xy4001 == xy3001",fontsize=16,color="magenta"];853 -> 932[label="",style="dashed", color="magenta", weight=3]; 853 -> 933[label="",style="dashed", color="magenta", weight=3]; 854 -> 364[label="",style="dashed", color="red", weight=0]; 854[label="xy4001 == xy3001",fontsize=16,color="magenta"];854 -> 934[label="",style="dashed", color="magenta", weight=3]; 854 -> 935[label="",style="dashed", color="magenta", weight=3]; 855 -> 365[label="",style="dashed", color="red", weight=0]; 855[label="xy4001 == xy3001",fontsize=16,color="magenta"];855 -> 936[label="",style="dashed", color="magenta", weight=3]; 855 -> 937[label="",style="dashed", color="magenta", weight=3]; 856 -> 366[label="",style="dashed", color="red", weight=0]; 856[label="xy4001 == xy3001",fontsize=16,color="magenta"];856 -> 938[label="",style="dashed", color="magenta", weight=3]; 856 -> 939[label="",style="dashed", color="magenta", weight=3]; 857 -> 367[label="",style="dashed", color="red", weight=0]; 857[label="xy4001 == xy3001",fontsize=16,color="magenta"];857 -> 940[label="",style="dashed", color="magenta", weight=3]; 857 -> 941[label="",style="dashed", color="magenta", weight=3]; 858 -> 354[label="",style="dashed", color="red", weight=0]; 858[label="xy4002 == xy3002",fontsize=16,color="magenta"];858 -> 942[label="",style="dashed", color="magenta", weight=3]; 858 -> 943[label="",style="dashed", color="magenta", weight=3]; 859 -> 355[label="",style="dashed", color="red", weight=0]; 859[label="xy4002 == xy3002",fontsize=16,color="magenta"];859 -> 944[label="",style="dashed", color="magenta", weight=3]; 859 -> 945[label="",style="dashed", color="magenta", weight=3]; 860 -> 356[label="",style="dashed", color="red", weight=0]; 860[label="xy4002 == xy3002",fontsize=16,color="magenta"];860 -> 946[label="",style="dashed", color="magenta", weight=3]; 860 -> 947[label="",style="dashed", color="magenta", weight=3]; 861 -> 357[label="",style="dashed", color="red", weight=0]; 861[label="xy4002 == xy3002",fontsize=16,color="magenta"];861 -> 948[label="",style="dashed", color="magenta", weight=3]; 861 -> 949[label="",style="dashed", color="magenta", weight=3]; 862 -> 358[label="",style="dashed", color="red", weight=0]; 862[label="xy4002 == xy3002",fontsize=16,color="magenta"];862 -> 950[label="",style="dashed", color="magenta", weight=3]; 862 -> 951[label="",style="dashed", color="magenta", weight=3]; 863 -> 359[label="",style="dashed", color="red", weight=0]; 863[label="xy4002 == xy3002",fontsize=16,color="magenta"];863 -> 952[label="",style="dashed", color="magenta", weight=3]; 863 -> 953[label="",style="dashed", color="magenta", weight=3]; 864 -> 360[label="",style="dashed", color="red", weight=0]; 864[label="xy4002 == xy3002",fontsize=16,color="magenta"];864 -> 954[label="",style="dashed", color="magenta", weight=3]; 864 -> 955[label="",style="dashed", color="magenta", weight=3]; 865 -> 361[label="",style="dashed", color="red", weight=0]; 865[label="xy4002 == xy3002",fontsize=16,color="magenta"];865 -> 956[label="",style="dashed", color="magenta", weight=3]; 865 -> 957[label="",style="dashed", color="magenta", weight=3]; 866 -> 362[label="",style="dashed", color="red", weight=0]; 866[label="xy4002 == xy3002",fontsize=16,color="magenta"];866 -> 958[label="",style="dashed", color="magenta", weight=3]; 866 -> 959[label="",style="dashed", color="magenta", weight=3]; 867 -> 363[label="",style="dashed", color="red", weight=0]; 867[label="xy4002 == xy3002",fontsize=16,color="magenta"];867 -> 960[label="",style="dashed", color="magenta", weight=3]; 867 -> 961[label="",style="dashed", color="magenta", weight=3]; 868 -> 364[label="",style="dashed", color="red", weight=0]; 868[label="xy4002 == xy3002",fontsize=16,color="magenta"];868 -> 962[label="",style="dashed", color="magenta", weight=3]; 868 -> 963[label="",style="dashed", color="magenta", weight=3]; 869 -> 365[label="",style="dashed", color="red", weight=0]; 869[label="xy4002 == xy3002",fontsize=16,color="magenta"];869 -> 964[label="",style="dashed", color="magenta", weight=3]; 869 -> 965[label="",style="dashed", color="magenta", weight=3]; 870 -> 366[label="",style="dashed", color="red", weight=0]; 870[label="xy4002 == xy3002",fontsize=16,color="magenta"];870 -> 966[label="",style="dashed", color="magenta", weight=3]; 870 -> 967[label="",style="dashed", color="magenta", weight=3]; 871 -> 367[label="",style="dashed", color="red", weight=0]; 871[label="xy4002 == xy3002",fontsize=16,color="magenta"];871 -> 968[label="",style="dashed", color="magenta", weight=3]; 871 -> 969[label="",style="dashed", color="magenta", weight=3]; 872[label="primEqNat (Succ xy40000) (Succ xy30000)",fontsize=16,color="black",shape="box"];872 -> 970[label="",style="solid", color="black", weight=3]; 873[label="primEqNat (Succ xy40000) Zero",fontsize=16,color="black",shape="box"];873 -> 971[label="",style="solid", color="black", weight=3]; 874[label="primEqNat Zero (Succ xy30000)",fontsize=16,color="black",shape="box"];874 -> 972[label="",style="solid", color="black", weight=3]; 875[label="primEqNat Zero Zero",fontsize=16,color="black",shape="box"];875 -> 973[label="",style="solid", color="black", weight=3]; 876[label="xy3000",fontsize=16,color="green",shape="box"];877[label="xy4000",fontsize=16,color="green",shape="box"];878[label="xy3000",fontsize=16,color="green",shape="box"];879[label="xy4000",fontsize=16,color="green",shape="box"];880[label="xy3000",fontsize=16,color="green",shape="box"];881[label="xy4000",fontsize=16,color="green",shape="box"];882[label="xy3000",fontsize=16,color="green",shape="box"];883[label="xy4000",fontsize=16,color="green",shape="box"];884[label="xy3000",fontsize=16,color="green",shape="box"];885[label="xy4000",fontsize=16,color="green",shape="box"];886[label="xy3000",fontsize=16,color="green",shape="box"];887[label="xy4000",fontsize=16,color="green",shape="box"];888[label="xy3000",fontsize=16,color="green",shape="box"];889[label="xy4000",fontsize=16,color="green",shape="box"];890[label="xy3000",fontsize=16,color="green",shape="box"];891[label="xy4000",fontsize=16,color="green",shape="box"];892[label="xy3000",fontsize=16,color="green",shape="box"];893[label="xy4000",fontsize=16,color="green",shape="box"];894[label="xy3000",fontsize=16,color="green",shape="box"];895[label="xy4000",fontsize=16,color="green",shape="box"];896[label="xy3000",fontsize=16,color="green",shape="box"];897[label="xy4000",fontsize=16,color="green",shape="box"];898[label="xy3000",fontsize=16,color="green",shape="box"];899[label="xy4000",fontsize=16,color="green",shape="box"];900[label="xy3000",fontsize=16,color="green",shape="box"];901[label="xy4000",fontsize=16,color="green",shape="box"];902[label="xy3000",fontsize=16,color="green",shape="box"];903[label="xy4000",fontsize=16,color="green",shape="box"];904[label="xy4001",fontsize=16,color="green",shape="box"];905[label="xy3000",fontsize=16,color="green",shape="box"];906[label="xy4000",fontsize=16,color="green",shape="box"];907[label="xy3001",fontsize=16,color="green",shape="box"];908[label="primMulInt (Pos xy40010) xy3000",fontsize=16,color="burlywood",shape="box"];1278[label="xy3000/Pos xy30000",fontsize=10,color="white",style="solid",shape="box"];908 -> 1278[label="",style="solid", color="burlywood", weight=9]; 1278 -> 974[label="",style="solid", color="burlywood", weight=3]; 1279[label="xy3000/Neg xy30000",fontsize=10,color="white",style="solid",shape="box"];908 -> 1279[label="",style="solid", color="burlywood", weight=9]; 1279 -> 975[label="",style="solid", color="burlywood", weight=3]; 909[label="primMulInt (Neg xy40010) xy3000",fontsize=16,color="burlywood",shape="box"];1280[label="xy3000/Pos xy30000",fontsize=10,color="white",style="solid",shape="box"];909 -> 1280[label="",style="solid", color="burlywood", weight=9]; 1280 -> 976[label="",style="solid", color="burlywood", weight=3]; 1281[label="xy3000/Neg xy30000",fontsize=10,color="white",style="solid",shape="box"];909 -> 1281[label="",style="solid", color="burlywood", weight=9]; 1281 -> 977[label="",style="solid", color="burlywood", weight=3]; 910[label="xy40000",fontsize=16,color="green",shape="box"];911[label="xy30000",fontsize=16,color="green",shape="box"];912[label="xy40000",fontsize=16,color="green",shape="box"];913[label="xy30000",fontsize=16,color="green",shape="box"];914[label="xy3001",fontsize=16,color="green",shape="box"];915[label="xy4001",fontsize=16,color="green",shape="box"];916[label="xy3001",fontsize=16,color="green",shape="box"];917[label="xy4001",fontsize=16,color="green",shape="box"];918[label="xy3001",fontsize=16,color="green",shape="box"];919[label="xy4001",fontsize=16,color="green",shape="box"];920[label="xy3001",fontsize=16,color="green",shape="box"];921[label="xy4001",fontsize=16,color="green",shape="box"];922[label="xy3001",fontsize=16,color="green",shape="box"];923[label="xy4001",fontsize=16,color="green",shape="box"];924[label="xy3001",fontsize=16,color="green",shape="box"];925[label="xy4001",fontsize=16,color="green",shape="box"];926[label="xy3001",fontsize=16,color="green",shape="box"];927[label="xy4001",fontsize=16,color="green",shape="box"];928[label="xy3001",fontsize=16,color="green",shape="box"];929[label="xy4001",fontsize=16,color="green",shape="box"];930[label="xy3001",fontsize=16,color="green",shape="box"];931[label="xy4001",fontsize=16,color="green",shape="box"];932[label="xy3001",fontsize=16,color="green",shape="box"];933[label="xy4001",fontsize=16,color="green",shape="box"];934[label="xy3001",fontsize=16,color="green",shape="box"];935[label="xy4001",fontsize=16,color="green",shape="box"];936[label="xy3001",fontsize=16,color="green",shape="box"];937[label="xy4001",fontsize=16,color="green",shape="box"];938[label="xy3001",fontsize=16,color="green",shape="box"];939[label="xy4001",fontsize=16,color="green",shape="box"];940[label="xy3001",fontsize=16,color="green",shape="box"];941[label="xy4001",fontsize=16,color="green",shape="box"];942[label="xy3002",fontsize=16,color="green",shape="box"];943[label="xy4002",fontsize=16,color="green",shape="box"];944[label="xy3002",fontsize=16,color="green",shape="box"];945[label="xy4002",fontsize=16,color="green",shape="box"];946[label="xy3002",fontsize=16,color="green",shape="box"];947[label="xy4002",fontsize=16,color="green",shape="box"];948[label="xy3002",fontsize=16,color="green",shape="box"];949[label="xy4002",fontsize=16,color="green",shape="box"];950[label="xy3002",fontsize=16,color="green",shape="box"];951[label="xy4002",fontsize=16,color="green",shape="box"];952[label="xy3002",fontsize=16,color="green",shape="box"];953[label="xy4002",fontsize=16,color="green",shape="box"];954[label="xy3002",fontsize=16,color="green",shape="box"];955[label="xy4002",fontsize=16,color="green",shape="box"];956[label="xy3002",fontsize=16,color="green",shape="box"];957[label="xy4002",fontsize=16,color="green",shape="box"];958[label="xy3002",fontsize=16,color="green",shape="box"];959[label="xy4002",fontsize=16,color="green",shape="box"];960[label="xy3002",fontsize=16,color="green",shape="box"];961[label="xy4002",fontsize=16,color="green",shape="box"];962[label="xy3002",fontsize=16,color="green",shape="box"];963[label="xy4002",fontsize=16,color="green",shape="box"];964[label="xy3002",fontsize=16,color="green",shape="box"];965[label="xy4002",fontsize=16,color="green",shape="box"];966[label="xy3002",fontsize=16,color="green",shape="box"];967[label="xy4002",fontsize=16,color="green",shape="box"];968[label="xy3002",fontsize=16,color="green",shape="box"];969[label="xy4002",fontsize=16,color="green",shape="box"];970 -> 537[label="",style="dashed", color="red", weight=0]; 970[label="primEqNat xy40000 xy30000",fontsize=16,color="magenta"];970 -> 978[label="",style="dashed", color="magenta", weight=3]; 970 -> 979[label="",style="dashed", color="magenta", weight=3]; 971[label="False",fontsize=16,color="green",shape="box"];972[label="False",fontsize=16,color="green",shape="box"];973[label="True",fontsize=16,color="green",shape="box"];974[label="primMulInt (Pos xy40010) (Pos xy30000)",fontsize=16,color="black",shape="box"];974 -> 980[label="",style="solid", color="black", weight=3]; 975[label="primMulInt (Pos xy40010) (Neg xy30000)",fontsize=16,color="black",shape="box"];975 -> 981[label="",style="solid", color="black", weight=3]; 976[label="primMulInt (Neg xy40010) (Pos xy30000)",fontsize=16,color="black",shape="box"];976 -> 982[label="",style="solid", color="black", weight=3]; 977[label="primMulInt (Neg xy40010) (Neg xy30000)",fontsize=16,color="black",shape="box"];977 -> 983[label="",style="solid", color="black", weight=3]; 978[label="xy40000",fontsize=16,color="green",shape="box"];979[label="xy30000",fontsize=16,color="green",shape="box"];980[label="Pos (primMulNat xy40010 xy30000)",fontsize=16,color="green",shape="box"];980 -> 984[label="",style="dashed", color="green", weight=3]; 981[label="Neg (primMulNat xy40010 xy30000)",fontsize=16,color="green",shape="box"];981 -> 985[label="",style="dashed", color="green", weight=3]; 982[label="Neg (primMulNat xy40010 xy30000)",fontsize=16,color="green",shape="box"];982 -> 986[label="",style="dashed", color="green", weight=3]; 983[label="Pos (primMulNat xy40010 xy30000)",fontsize=16,color="green",shape="box"];983 -> 987[label="",style="dashed", color="green", weight=3]; 984[label="primMulNat xy40010 xy30000",fontsize=16,color="burlywood",shape="triangle"];1282[label="xy40010/Succ xy400100",fontsize=10,color="white",style="solid",shape="box"];984 -> 1282[label="",style="solid", color="burlywood", weight=9]; 1282 -> 988[label="",style="solid", color="burlywood", weight=3]; 1283[label="xy40010/Zero",fontsize=10,color="white",style="solid",shape="box"];984 -> 1283[label="",style="solid", color="burlywood", weight=9]; 1283 -> 989[label="",style="solid", color="burlywood", weight=3]; 985 -> 984[label="",style="dashed", color="red", weight=0]; 985[label="primMulNat xy40010 xy30000",fontsize=16,color="magenta"];985 -> 990[label="",style="dashed", color="magenta", weight=3]; 986 -> 984[label="",style="dashed", color="red", weight=0]; 986[label="primMulNat xy40010 xy30000",fontsize=16,color="magenta"];986 -> 991[label="",style="dashed", color="magenta", weight=3]; 987 -> 984[label="",style="dashed", color="red", weight=0]; 987[label="primMulNat xy40010 xy30000",fontsize=16,color="magenta"];987 -> 992[label="",style="dashed", color="magenta", weight=3]; 987 -> 993[label="",style="dashed", color="magenta", weight=3]; 988[label="primMulNat (Succ xy400100) xy30000",fontsize=16,color="burlywood",shape="box"];1284[label="xy30000/Succ xy300000",fontsize=10,color="white",style="solid",shape="box"];988 -> 1284[label="",style="solid", color="burlywood", weight=9]; 1284 -> 994[label="",style="solid", color="burlywood", weight=3]; 1285[label="xy30000/Zero",fontsize=10,color="white",style="solid",shape="box"];988 -> 1285[label="",style="solid", color="burlywood", weight=9]; 1285 -> 995[label="",style="solid", color="burlywood", weight=3]; 989[label="primMulNat Zero xy30000",fontsize=16,color="burlywood",shape="box"];1286[label="xy30000/Succ xy300000",fontsize=10,color="white",style="solid",shape="box"];989 -> 1286[label="",style="solid", color="burlywood", weight=9]; 1286 -> 996[label="",style="solid", color="burlywood", weight=3]; 1287[label="xy30000/Zero",fontsize=10,color="white",style="solid",shape="box"];989 -> 1287[label="",style="solid", color="burlywood", weight=9]; 1287 -> 997[label="",style="solid", color="burlywood", weight=3]; 990[label="xy30000",fontsize=16,color="green",shape="box"];991[label="xy40010",fontsize=16,color="green",shape="box"];992[label="xy40010",fontsize=16,color="green",shape="box"];993[label="xy30000",fontsize=16,color="green",shape="box"];994[label="primMulNat (Succ xy400100) (Succ xy300000)",fontsize=16,color="black",shape="box"];994 -> 998[label="",style="solid", color="black", weight=3]; 995[label="primMulNat (Succ xy400100) Zero",fontsize=16,color="black",shape="box"];995 -> 999[label="",style="solid", color="black", weight=3]; 996[label="primMulNat Zero (Succ xy300000)",fontsize=16,color="black",shape="box"];996 -> 1000[label="",style="solid", color="black", weight=3]; 997[label="primMulNat Zero Zero",fontsize=16,color="black",shape="box"];997 -> 1001[label="",style="solid", color="black", weight=3]; 998 -> 1002[label="",style="dashed", color="red", weight=0]; 998[label="primPlusNat (primMulNat xy400100 (Succ xy300000)) (Succ xy300000)",fontsize=16,color="magenta"];998 -> 1003[label="",style="dashed", color="magenta", weight=3]; 999[label="Zero",fontsize=16,color="green",shape="box"];1000[label="Zero",fontsize=16,color="green",shape="box"];1001[label="Zero",fontsize=16,color="green",shape="box"];1003 -> 984[label="",style="dashed", color="red", weight=0]; 1003[label="primMulNat xy400100 (Succ xy300000)",fontsize=16,color="magenta"];1003 -> 1004[label="",style="dashed", color="magenta", weight=3]; 1003 -> 1005[label="",style="dashed", color="magenta", weight=3]; 1002[label="primPlusNat xy44 (Succ xy300000)",fontsize=16,color="burlywood",shape="triangle"];1288[label="xy44/Succ xy440",fontsize=10,color="white",style="solid",shape="box"];1002 -> 1288[label="",style="solid", color="burlywood", weight=9]; 1288 -> 1006[label="",style="solid", color="burlywood", weight=3]; 1289[label="xy44/Zero",fontsize=10,color="white",style="solid",shape="box"];1002 -> 1289[label="",style="solid", color="burlywood", weight=9]; 1289 -> 1007[label="",style="solid", color="burlywood", weight=3]; 1004[label="xy400100",fontsize=16,color="green",shape="box"];1005[label="Succ xy300000",fontsize=16,color="green",shape="box"];1006[label="primPlusNat (Succ xy440) (Succ xy300000)",fontsize=16,color="black",shape="box"];1006 -> 1008[label="",style="solid", color="black", weight=3]; 1007[label="primPlusNat Zero (Succ xy300000)",fontsize=16,color="black",shape="box"];1007 -> 1009[label="",style="solid", color="black", weight=3]; 1008[label="Succ (Succ (primPlusNat xy440 xy300000))",fontsize=16,color="green",shape="box"];1008 -> 1010[label="",style="dashed", color="green", weight=3]; 1009[label="Succ xy300000",fontsize=16,color="green",shape="box"];1010[label="primPlusNat xy440 xy300000",fontsize=16,color="burlywood",shape="triangle"];1290[label="xy440/Succ xy4400",fontsize=10,color="white",style="solid",shape="box"];1010 -> 1290[label="",style="solid", color="burlywood", weight=9]; 1290 -> 1011[label="",style="solid", color="burlywood", weight=3]; 1291[label="xy440/Zero",fontsize=10,color="white",style="solid",shape="box"];1010 -> 1291[label="",style="solid", color="burlywood", weight=9]; 1291 -> 1012[label="",style="solid", color="burlywood", weight=3]; 1011[label="primPlusNat (Succ xy4400) xy300000",fontsize=16,color="burlywood",shape="box"];1292[label="xy300000/Succ xy3000000",fontsize=10,color="white",style="solid",shape="box"];1011 -> 1292[label="",style="solid", color="burlywood", weight=9]; 1292 -> 1013[label="",style="solid", color="burlywood", weight=3]; 1293[label="xy300000/Zero",fontsize=10,color="white",style="solid",shape="box"];1011 -> 1293[label="",style="solid", color="burlywood", weight=9]; 1293 -> 1014[label="",style="solid", color="burlywood", weight=3]; 1012[label="primPlusNat Zero xy300000",fontsize=16,color="burlywood",shape="box"];1294[label="xy300000/Succ xy3000000",fontsize=10,color="white",style="solid",shape="box"];1012 -> 1294[label="",style="solid", color="burlywood", weight=9]; 1294 -> 1015[label="",style="solid", color="burlywood", weight=3]; 1295[label="xy300000/Zero",fontsize=10,color="white",style="solid",shape="box"];1012 -> 1295[label="",style="solid", color="burlywood", weight=9]; 1295 -> 1016[label="",style="solid", color="burlywood", weight=3]; 1013[label="primPlusNat (Succ xy4400) (Succ xy3000000)",fontsize=16,color="black",shape="box"];1013 -> 1017[label="",style="solid", color="black", weight=3]; 1014[label="primPlusNat (Succ xy4400) Zero",fontsize=16,color="black",shape="box"];1014 -> 1018[label="",style="solid", color="black", weight=3]; 1015[label="primPlusNat Zero (Succ xy3000000)",fontsize=16,color="black",shape="box"];1015 -> 1019[label="",style="solid", color="black", weight=3]; 1016[label="primPlusNat Zero Zero",fontsize=16,color="black",shape="box"];1016 -> 1020[label="",style="solid", color="black", weight=3]; 1017[label="Succ (Succ (primPlusNat xy4400 xy3000000))",fontsize=16,color="green",shape="box"];1017 -> 1021[label="",style="dashed", color="green", weight=3]; 1018[label="Succ xy4400",fontsize=16,color="green",shape="box"];1019[label="Succ xy3000000",fontsize=16,color="green",shape="box"];1020[label="Zero",fontsize=16,color="green",shape="box"];1021 -> 1010[label="",style="dashed", color="red", weight=0]; 1021[label="primPlusNat xy4400 xy3000000",fontsize=16,color="magenta"];1021 -> 1022[label="",style="dashed", color="magenta", weight=3]; 1021 -> 1023[label="",style="dashed", color="magenta", weight=3]; 1022[label="xy3000000",fontsize=16,color="green",shape="box"];1023[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_deleteBy0(xy25, xy26, xy27, xy28, xy29, False, ba, bb) -> new_deleteBy(@2(xy28, xy29), xy25, ba, bb) new_deleteBy(@2(xy400, xy401), :(@2(xy300, xy301), xy31), bc, bd) -> new_deleteBy0(xy31, xy300, xy301, xy400, xy401, new_asAs(new_esEs4(xy400, xy300, bc), new_esEs5(xy401, xy301, bd)), bc, bd) The TRS R consists of the following rules: new_esEs22(xy4000, xy3000, app(app(ty_@2, ge), gf)) -> new_esEs8(xy4000, xy3000, ge, gf) new_esEs27(xy4000, xy3000, app(ty_Ratio, bcd)) -> new_esEs13(xy4000, xy3000, bcd) new_primEqInt(Pos(Zero), Pos(Zero)) -> True new_esEs11(Just(xy4000), Just(xy3000), app(app(app(ty_@3, fa), fb), fc)) -> new_esEs15(xy4000, xy3000, fa, fb, fc) new_esEs11(Just(xy4000), Just(xy3000), ty_Bool) -> new_esEs16(xy4000, xy3000) new_esEs19(:(xy4000, xy4001), :(xy3000, xy3001), bcb) -> new_asAs(new_esEs27(xy4000, xy3000, bcb), new_esEs19(xy4001, xy3001, bcb)) new_esEs11(Just(xy4000), Just(xy3000), ty_Int) -> new_esEs7(xy4000, xy3000) new_esEs23(xy4001, xy3001, ty_Char) -> new_esEs17(xy4001, xy3001) new_esEs11(Just(xy4000), Just(xy3000), ty_Double) -> new_esEs6(xy4000, xy3000) new_esEs27(xy4000, xy3000, ty_Float) -> new_esEs20(xy4000, xy3000) new_esEs24(xy4002, xy3002, app(ty_Maybe, bag)) -> new_esEs11(xy4002, xy3002, bag) new_esEs24(xy4002, xy3002, app(ty_[], bbf)) -> new_esEs19(xy4002, xy3002, bbf) new_esEs21(Right(xy4000), Right(xy3000), bde, app(ty_Maybe, bfa)) -> new_esEs11(xy4000, xy3000, bfa) new_esEs5(xy401, xy301, ty_Double) -> new_esEs6(xy401, xy301) new_esEs19(:(xy4000, xy4001), [], bcb) -> False new_esEs19([], :(xy3000, xy3001), bcb) -> False new_esEs24(xy4002, xy3002, ty_Integer) -> new_esEs14(xy4002, xy3002) new_esEs10(xy4001, xy3001, ty_Float) -> new_esEs20(xy4001, xy3001) new_esEs18(@0, @0) -> True new_esEs10(xy4001, xy3001, app(ty_Ratio, dc)) -> new_esEs13(xy4001, xy3001, dc) new_esEs5(xy401, xy301, ty_Bool) -> new_esEs16(xy401, xy301) new_esEs21(Left(xy4000), Left(xy3000), app(ty_[], bef), bdf) -> new_esEs19(xy4000, xy3000, bef) new_esEs24(xy4002, xy3002, app(app(ty_Either, bbg), bbh)) -> new_esEs21(xy4002, xy3002, bbg, bbh) new_esEs9(xy4000, xy3000, ty_Bool) -> new_esEs16(xy4000, xy3000) new_esEs12(GT, GT) -> True new_esEs5(xy401, xy301, app(app(app(ty_@3, bgg), bgh), bha)) -> new_esEs15(xy401, xy301, bgg, bgh, bha) new_asAs(True, xy43) -> xy43 new_esEs5(xy401, xy301, app(ty_[], bhb)) -> new_esEs19(xy401, xy301, bhb) new_esEs11(Just(xy4000), Just(xy3000), app(ty_Maybe, ee)) -> new_esEs11(xy4000, xy3000, ee) new_esEs24(xy4002, xy3002, app(app(app(ty_@3, bbc), bbd), bbe)) -> new_esEs15(xy4002, xy3002, bbc, bbd, bbe) new_primEqInt(Pos(Succ(xy40000)), Pos(Zero)) -> False new_primEqInt(Pos(Zero), Pos(Succ(xy30000))) -> False new_esEs21(Left(xy4000), Left(xy3000), ty_Bool, bdf) -> new_esEs16(xy4000, xy3000) new_esEs9(xy4000, xy3000, ty_@0) -> new_esEs18(xy4000, xy3000) new_esEs21(Right(xy4000), Right(xy3000), bde, ty_Char) -> new_esEs17(xy4000, xy3000) new_esEs21(Left(xy4000), Right(xy3000), bde, bdf) -> False new_esEs21(Right(xy4000), Left(xy3000), bde, bdf) -> False new_esEs4(xy400, xy300, app(ty_Ratio, bca)) -> new_esEs13(xy400, xy300, bca) new_esEs4(xy400, xy300, ty_Char) -> new_esEs17(xy400, xy300) new_esEs21(Right(xy4000), Right(xy3000), bde, app(app(ty_@2, bfc), bfd)) -> new_esEs8(xy4000, xy3000, bfc, bfd) new_esEs11(Just(xy4000), Just(xy3000), ty_Integer) -> new_esEs14(xy4000, xy3000) new_esEs11(Just(xy4000), Just(xy3000), app(ty_[], fd)) -> new_esEs19(xy4000, xy3000, fd) new_esEs21(Right(xy4000), Right(xy3000), bde, app(ty_[], bfh)) -> new_esEs19(xy4000, xy3000, bfh) new_primEqNat0(Succ(xy40000), Succ(xy30000)) -> new_primEqNat0(xy40000, xy30000) new_esEs26(xy4001, xy3001, ty_Integer) -> new_esEs14(xy4001, xy3001) new_esEs22(xy4000, xy3000, app(ty_Ratio, gd)) -> new_esEs13(xy4000, xy3000, gd) new_esEs21(Left(xy4000), Left(xy3000), app(app(app(ty_@3, bec), bed), bee), bdf) -> new_esEs15(xy4000, xy3000, bec, bed, bee) new_esEs5(xy401, xy301, app(ty_Maybe, bgc)) -> new_esEs11(xy401, xy301, bgc) new_esEs5(xy401, xy301, ty_Integer) -> new_esEs14(xy401, xy301) new_esEs22(xy4000, xy3000, ty_Float) -> new_esEs20(xy4000, xy3000) new_esEs24(xy4002, xy3002, ty_Bool) -> new_esEs16(xy4002, xy3002) new_esEs5(xy401, xy301, ty_Int) -> new_esEs7(xy401, xy301) new_esEs26(xy4001, xy3001, ty_Int) -> new_esEs7(xy4001, xy3001) new_esEs12(EQ, EQ) -> True new_esEs21(Right(xy4000), Right(xy3000), bde, app(app(ty_Either, bga), bgb)) -> new_esEs21(xy4000, xy3000, bga, bgb) new_esEs22(xy4000, xy3000, app(app(ty_Either, hc), hd)) -> new_esEs21(xy4000, xy3000, hc, hd) new_esEs10(xy4001, xy3001, app(app(ty_Either, eb), ec)) -> new_esEs21(xy4001, xy3001, eb, ec) new_esEs23(xy4001, xy3001, ty_Float) -> new_esEs20(xy4001, xy3001) new_esEs17(Char(xy4000), Char(xy3000)) -> new_primEqNat0(xy4000, xy3000) new_esEs23(xy4001, xy3001, ty_Int) -> new_esEs7(xy4001, xy3001) new_primMulNat0(Zero, Zero) -> Zero new_esEs21(Left(xy4000), Left(xy3000), app(app(ty_Either, beg), beh), bdf) -> new_esEs21(xy4000, xy3000, beg, beh) new_esEs21(Right(xy4000), Right(xy3000), bde, ty_Double) -> new_esEs6(xy4000, xy3000) new_esEs23(xy4001, xy3001, app(ty_Ratio, hf)) -> new_esEs13(xy4001, xy3001, hf) new_esEs27(xy4000, xy3000, app(app(ty_Either, bdc), bdd)) -> new_esEs21(xy4000, xy3000, bdc, bdd) new_esEs10(xy4001, xy3001, ty_Char) -> new_esEs17(xy4001, xy3001) new_esEs11(Just(xy4000), Just(xy3000), ty_Char) -> new_esEs17(xy4000, xy3000) new_esEs27(xy4000, xy3000, ty_Char) -> new_esEs17(xy4000, xy3000) new_esEs4(xy400, xy300, ty_Float) -> new_esEs20(xy400, xy300) new_esEs11(Just(xy4000), Just(xy3000), app(app(ty_Either, ff), fg)) -> new_esEs21(xy4000, xy3000, ff, fg) new_esEs24(xy4002, xy3002, ty_Float) -> new_esEs20(xy4002, xy3002) new_esEs12(LT, LT) -> True new_esEs4(xy400, xy300, ty_Ordering) -> new_esEs12(xy400, xy300) new_esEs4(xy400, xy300, ty_Int) -> new_esEs7(xy400, xy300) new_primEqNat0(Succ(xy40000), Zero) -> False new_primEqNat0(Zero, Succ(xy30000)) -> False new_esEs23(xy4001, xy3001, ty_@0) -> new_esEs18(xy4001, xy3001) new_esEs27(xy4000, xy3000, app(ty_[], bdb)) -> new_esEs19(xy4000, xy3000, bdb) new_esEs9(xy4000, xy3000, ty_Double) -> new_esEs6(xy4000, xy3000) new_esEs11(Just(xy4000), Just(xy3000), ty_Ordering) -> new_esEs12(xy4000, xy3000) new_esEs9(xy4000, xy3000, ty_Char) -> new_esEs17(xy4000, xy3000) new_esEs24(xy4002, xy3002, app(ty_Ratio, bah)) -> new_esEs13(xy4002, xy3002, bah) new_esEs13(:%(xy4000, xy4001), :%(xy3000, xy3001), bca) -> new_asAs(new_esEs25(xy4000, xy3000, bca), new_esEs26(xy4001, xy3001, bca)) new_esEs22(xy4000, xy3000, ty_Double) -> new_esEs6(xy4000, xy3000) new_esEs10(xy4001, xy3001, app(ty_[], ea)) -> new_esEs19(xy4001, xy3001, ea) new_esEs27(xy4000, xy3000, ty_Ordering) -> new_esEs12(xy4000, xy3000) new_esEs5(xy401, xy301, app(ty_Ratio, bgd)) -> new_esEs13(xy401, xy301, bgd) new_esEs24(xy4002, xy3002, app(app(ty_@2, bba), bbb)) -> new_esEs8(xy4002, xy3002, bba, bbb) new_esEs21(Left(xy4000), Left(xy3000), app(ty_Maybe, bdg), bdf) -> new_esEs11(xy4000, xy3000, bdg) new_esEs5(xy401, xy301, app(app(ty_@2, bge), bgf)) -> new_esEs8(xy401, xy301, bge, bgf) new_esEs21(Right(xy4000), Right(xy3000), bde, ty_Int) -> new_esEs7(xy4000, xy3000) new_esEs21(Left(xy4000), Left(xy3000), ty_Double, bdf) -> new_esEs6(xy4000, xy3000) new_primEqInt(Neg(Succ(xy40000)), Neg(Zero)) -> False new_primEqInt(Neg(Zero), Neg(Succ(xy30000))) -> False new_esEs22(xy4000, xy3000, ty_Ordering) -> new_esEs12(xy4000, xy3000) new_esEs10(xy4001, xy3001, ty_Ordering) -> new_esEs12(xy4001, xy3001) new_primEqInt(Pos(Succ(xy40000)), Pos(Succ(xy30000))) -> new_primEqNat0(xy40000, xy30000) new_esEs21(Left(xy4000), Left(xy3000), ty_Char, bdf) -> new_esEs17(xy4000, xy3000) new_esEs4(xy400, xy300, app(ty_Maybe, ed)) -> new_esEs11(xy400, xy300, ed) new_esEs24(xy4002, xy3002, ty_@0) -> new_esEs18(xy4002, xy3002) new_esEs27(xy4000, xy3000, app(ty_Maybe, bcc)) -> new_esEs11(xy4000, xy3000, bcc) new_esEs5(xy401, xy301, ty_@0) -> new_esEs18(xy401, xy301) new_esEs9(xy4000, xy3000, app(ty_Maybe, bg)) -> new_esEs11(xy4000, xy3000, bg) new_esEs21(Left(xy4000), Left(xy3000), ty_Int, bdf) -> new_esEs7(xy4000, xy3000) new_esEs9(xy4000, xy3000, app(ty_[], cf)) -> new_esEs19(xy4000, xy3000, cf) new_esEs7(xy400, xy300) -> new_primEqInt(xy400, xy300) new_esEs27(xy4000, xy3000, ty_Double) -> new_esEs6(xy4000, xy3000) new_sr(Pos(xy40010), Neg(xy30000)) -> Neg(new_primMulNat0(xy40010, xy30000)) new_sr(Neg(xy40010), Pos(xy30000)) -> Neg(new_primMulNat0(xy40010, xy30000)) new_esEs16(True, True) -> True new_esEs22(xy4000, xy3000, app(ty_[], hb)) -> new_esEs19(xy4000, xy3000, hb) new_esEs4(xy400, xy300, app(ty_[], bcb)) -> new_esEs19(xy400, xy300, bcb) new_primPlusNat1(Succ(xy4400), Succ(xy3000000)) -> Succ(Succ(new_primPlusNat1(xy4400, xy3000000))) new_esEs9(xy4000, xy3000, ty_Ordering) -> new_esEs12(xy4000, xy3000) new_primEqInt(Pos(Succ(xy40000)), Neg(xy3000)) -> False new_primEqInt(Neg(Succ(xy40000)), Pos(xy3000)) -> False new_esEs22(xy4000, xy3000, ty_Int) -> new_esEs7(xy4000, xy3000) new_esEs10(xy4001, xy3001, ty_Double) -> new_esEs6(xy4001, xy3001) new_esEs21(Left(xy4000), Left(xy3000), ty_Ordering, bdf) -> new_esEs12(xy4000, xy3000) new_esEs22(xy4000, xy3000, app(ty_Maybe, gc)) -> new_esEs11(xy4000, xy3000, gc) new_esEs12(EQ, GT) -> False new_esEs12(GT, EQ) -> False new_esEs21(Right(xy4000), Right(xy3000), bde, app(app(app(ty_@3, bfe), bff), bfg)) -> new_esEs15(xy4000, xy3000, bfe, bff, bfg) new_esEs5(xy401, xy301, ty_Float) -> new_esEs20(xy401, xy301) new_esEs9(xy4000, xy3000, ty_Int) -> new_esEs7(xy4000, xy3000) new_esEs10(xy4001, xy3001, ty_Bool) -> new_esEs16(xy4001, xy3001) new_esEs27(xy4000, xy3000, app(app(app(ty_@3, bcg), bch), bda)) -> new_esEs15(xy4000, xy3000, bcg, bch, bda) new_esEs23(xy4001, xy3001, app(ty_[], bad)) -> new_esEs19(xy4001, xy3001, bad) new_esEs10(xy4001, xy3001, ty_@0) -> new_esEs18(xy4001, xy3001) new_esEs19([], [], bcb) -> True new_esEs11(Just(xy4000), Just(xy3000), app(ty_Ratio, ef)) -> new_esEs13(xy4000, xy3000, ef) new_esEs25(xy4000, xy3000, ty_Integer) -> new_esEs14(xy4000, xy3000) new_esEs10(xy4001, xy3001, app(app(app(ty_@3, df), dg), dh)) -> new_esEs15(xy4001, xy3001, df, dg, dh) new_esEs11(Just(xy4000), Just(xy3000), ty_Float) -> new_esEs20(xy4000, xy3000) new_sr(Neg(xy40010), Neg(xy30000)) -> Pos(new_primMulNat0(xy40010, xy30000)) new_esEs27(xy4000, xy3000, ty_Int) -> new_esEs7(xy4000, xy3000) new_esEs27(xy4000, xy3000, ty_Bool) -> new_esEs16(xy4000, xy3000) new_esEs10(xy4001, xy3001, app(ty_Maybe, db)) -> new_esEs11(xy4001, xy3001, db) new_esEs10(xy4001, xy3001, ty_Integer) -> new_esEs14(xy4001, xy3001) new_esEs21(Right(xy4000), Right(xy3000), bde, ty_Ordering) -> new_esEs12(xy4000, xy3000) new_esEs10(xy4001, xy3001, ty_Int) -> new_esEs7(xy4001, xy3001) new_esEs8(@2(xy4000, xy4001), @2(xy3000, xy3001), be, bf) -> new_asAs(new_esEs9(xy4000, xy3000, be), new_esEs10(xy4001, xy3001, bf)) new_esEs23(xy4001, xy3001, app(app(ty_@2, hg), hh)) -> new_esEs8(xy4001, xy3001, hg, hh) new_esEs27(xy4000, xy3000, ty_Integer) -> new_esEs14(xy4000, xy3000) new_esEs11(Nothing, Just(xy3000), ed) -> False new_esEs11(Just(xy4000), Nothing, ed) -> False new_primEqInt(Pos(Zero), Neg(Succ(xy30000))) -> False new_primEqInt(Neg(Zero), Pos(Succ(xy30000))) -> False new_esEs22(xy4000, xy3000, ty_Char) -> new_esEs17(xy4000, xy3000) new_esEs11(Nothing, Nothing, ed) -> True new_esEs12(LT, EQ) -> False new_esEs12(EQ, LT) -> False new_esEs27(xy4000, xy3000, ty_@0) -> new_esEs18(xy4000, xy3000) new_esEs23(xy4001, xy3001, app(ty_Maybe, he)) -> new_esEs11(xy4001, xy3001, he) new_esEs23(xy4001, xy3001, ty_Integer) -> new_esEs14(xy4001, xy3001) new_esEs9(xy4000, xy3000, app(app(ty_Either, cg), da)) -> new_esEs21(xy4000, xy3000, cg, da) new_primEqInt(Neg(Succ(xy40000)), Neg(Succ(xy30000))) -> new_primEqNat0(xy40000, xy30000) new_esEs12(LT, GT) -> False new_esEs12(GT, LT) -> False new_primPlusNat0(Succ(xy440), xy300000) -> Succ(Succ(new_primPlusNat1(xy440, xy300000))) new_esEs9(xy4000, xy3000, app(app(ty_@2, ca), cb)) -> new_esEs8(xy4000, xy3000, ca, cb) new_esEs21(Right(xy4000), Right(xy3000), bde, ty_Float) -> new_esEs20(xy4000, xy3000) new_esEs23(xy4001, xy3001, ty_Double) -> new_esEs6(xy4001, xy3001) new_esEs4(xy400, xy300, ty_Double) -> new_esEs6(xy400, xy300) new_esEs4(xy400, xy300, app(app(ty_Either, bde), bdf)) -> new_esEs21(xy400, xy300, bde, bdf) new_esEs9(xy4000, xy3000, ty_Float) -> new_esEs20(xy4000, xy3000) new_esEs21(Left(xy4000), Left(xy3000), ty_Float, bdf) -> new_esEs20(xy4000, xy3000) new_esEs9(xy4000, xy3000, app(ty_Ratio, bh)) -> new_esEs13(xy4000, xy3000, bh) new_primPlusNat1(Zero, Zero) -> Zero new_primMulNat0(Succ(xy400100), Zero) -> Zero new_primMulNat0(Zero, Succ(xy300000)) -> Zero new_sr(Pos(xy40010), Pos(xy30000)) -> Pos(new_primMulNat0(xy40010, xy30000)) new_primPlusNat0(Zero, xy300000) -> Succ(xy300000) new_esEs23(xy4001, xy3001, ty_Ordering) -> new_esEs12(xy4001, xy3001) new_esEs4(xy400, xy300, app(app(ty_@2, be), bf)) -> new_esEs8(xy400, xy300, be, bf) new_esEs4(xy400, xy300, ty_@0) -> new_esEs18(xy400, xy300) new_esEs22(xy4000, xy3000, app(app(app(ty_@3, gg), gh), ha)) -> new_esEs15(xy4000, xy3000, gg, gh, ha) new_esEs22(xy4000, xy3000, ty_Bool) -> new_esEs16(xy4000, xy3000) new_esEs5(xy401, xy301, ty_Ordering) -> new_esEs12(xy401, xy301) new_esEs21(Right(xy4000), Right(xy3000), bde, ty_@0) -> new_esEs18(xy4000, xy3000) new_primEqInt(Neg(Zero), Neg(Zero)) -> True new_esEs27(xy4000, xy3000, app(app(ty_@2, bce), bcf)) -> new_esEs8(xy4000, xy3000, bce, bcf) new_esEs21(Right(xy4000), Right(xy3000), bde, ty_Integer) -> new_esEs14(xy4000, xy3000) new_esEs11(Just(xy4000), Just(xy3000), app(app(ty_@2, eg), eh)) -> new_esEs8(xy4000, xy3000, eg, eh) new_primMulNat0(Succ(xy400100), Succ(xy300000)) -> new_primPlusNat0(new_primMulNat0(xy400100, Succ(xy300000)), xy300000) new_esEs22(xy4000, xy3000, ty_@0) -> new_esEs18(xy4000, xy3000) new_esEs24(xy4002, xy3002, ty_Ordering) -> new_esEs12(xy4002, xy3002) new_esEs21(Right(xy4000), Right(xy3000), bde, ty_Bool) -> new_esEs16(xy4000, xy3000) new_esEs21(Left(xy4000), Left(xy3000), app(app(ty_@2, bea), beb), bdf) -> new_esEs8(xy4000, xy3000, bea, beb) new_esEs16(False, False) -> True new_esEs6(Double(xy4000, xy4001), Double(xy3000, xy3001)) -> new_esEs7(new_sr(xy4000, xy3001), new_sr(xy4001, xy3000)) new_esEs24(xy4002, xy3002, ty_Int) -> new_esEs7(xy4002, xy3002) new_primPlusNat1(Succ(xy4400), Zero) -> Succ(xy4400) new_primPlusNat1(Zero, Succ(xy3000000)) -> Succ(xy3000000) new_esEs23(xy4001, xy3001, app(app(app(ty_@3, baa), bab), bac)) -> new_esEs15(xy4001, xy3001, baa, bab, bac) new_esEs23(xy4001, xy3001, ty_Bool) -> new_esEs16(xy4001, xy3001) new_esEs21(Left(xy4000), Left(xy3000), ty_Integer, bdf) -> new_esEs14(xy4000, xy3000) new_esEs21(Left(xy4000), Left(xy3000), app(ty_Ratio, bdh), bdf) -> new_esEs13(xy4000, xy3000, bdh) new_primEqInt(Pos(Zero), Neg(Zero)) -> True new_primEqInt(Neg(Zero), Pos(Zero)) -> True new_esEs10(xy4001, xy3001, app(app(ty_@2, dd), de)) -> new_esEs8(xy4001, xy3001, dd, de) new_esEs21(Left(xy4000), Left(xy3000), ty_@0, bdf) -> new_esEs18(xy4000, xy3000) new_esEs25(xy4000, xy3000, ty_Int) -> new_esEs7(xy4000, xy3000) new_esEs5(xy401, xy301, ty_Char) -> new_esEs17(xy401, xy301) new_primEqNat0(Zero, Zero) -> True new_esEs9(xy4000, xy3000, app(app(app(ty_@3, cc), cd), ce)) -> new_esEs15(xy4000, xy3000, cc, cd, ce) new_esEs4(xy400, xy300, ty_Bool) -> new_esEs16(xy400, xy300) new_esEs4(xy400, xy300, ty_Integer) -> new_esEs14(xy400, xy300) new_asAs(False, xy43) -> False new_esEs15(@3(xy4000, xy4001, xy4002), @3(xy3000, xy3001, xy3002), fh, ga, gb) -> new_asAs(new_esEs22(xy4000, xy3000, fh), new_asAs(new_esEs23(xy4001, xy3001, ga), new_esEs24(xy4002, xy3002, gb))) new_esEs23(xy4001, xy3001, app(app(ty_Either, bae), baf)) -> new_esEs21(xy4001, xy3001, bae, baf) new_esEs22(xy4000, xy3000, ty_Integer) -> new_esEs14(xy4000, xy3000) new_esEs21(Right(xy4000), Right(xy3000), bde, app(ty_Ratio, bfb)) -> new_esEs13(xy4000, xy3000, bfb) new_esEs14(Integer(xy4000), Integer(xy3000)) -> new_primEqInt(xy4000, xy3000) new_esEs20(Float(xy4000, xy4001), Float(xy3000, xy3001)) -> new_esEs7(new_sr(xy4000, xy3001), new_sr(xy4001, xy3000)) new_esEs9(xy4000, xy3000, ty_Integer) -> new_esEs14(xy4000, xy3000) new_esEs5(xy401, xy301, app(app(ty_Either, bhc), bhd)) -> new_esEs21(xy401, xy301, bhc, bhd) new_esEs24(xy4002, xy3002, ty_Double) -> new_esEs6(xy4002, xy3002) new_esEs4(xy400, xy300, app(app(app(ty_@3, fh), ga), gb)) -> new_esEs15(xy400, xy300, fh, ga, gb) new_esEs24(xy4002, xy3002, ty_Char) -> new_esEs17(xy4002, xy3002) new_esEs16(False, True) -> False new_esEs16(True, False) -> False new_esEs11(Just(xy4000), Just(xy3000), ty_@0) -> new_esEs18(xy4000, xy3000) The set Q consists of the following terms: new_primEqInt(Pos(Succ(x0)), Neg(x1)) new_primEqInt(Neg(Succ(x0)), Pos(x1)) new_esEs22(x0, x1, ty_Char) new_esEs11(Just(x0), Just(x1), ty_Float) new_esEs13(:%(x0, x1), :%(x2, x3), x4) new_esEs11(Just(x0), Just(x1), app(ty_[], x2)) new_esEs12(EQ, EQ) new_esEs7(x0, x1) new_asAs(True, x0) new_esEs10(x0, x1, ty_Int) new_esEs25(x0, x1, ty_Int) new_esEs11(Just(x0), Just(x1), app(app(ty_Either, x2), x3)) new_esEs21(Right(x0), Right(x1), x2, ty_Char) new_esEs24(x0, x1, ty_Bool) new_esEs27(x0, x1, ty_Ordering) new_esEs5(x0, x1, ty_Integer) new_primMulNat0(Zero, Zero) new_esEs4(x0, x1, app(app(ty_Either, x2), x3)) new_esEs24(x0, x1, ty_@0) new_esEs4(x0, x1, ty_Bool) new_primPlusNat1(Zero, Zero) new_primPlusNat0(Zero, x0) new_esEs5(x0, x1, app(ty_Maybe, x2)) new_esEs21(Left(x0), Left(x1), ty_Bool, x2) new_esEs11(Just(x0), Just(x1), ty_Ordering) new_esEs22(x0, x1, ty_Int) new_esEs21(Left(x0), Left(x1), ty_Integer, x2) new_esEs21(Right(x0), Right(x1), x2, ty_Int) new_esEs4(x0, x1, ty_Integer) new_esEs27(x0, x1, ty_Int) new_esEs4(x0, x1, app(app(ty_@2, x2), x3)) new_esEs21(Left(x0), Left(x1), ty_@0, x2) new_primMulNat0(Succ(x0), Zero) new_esEs27(x0, x1, app(ty_Maybe, x2)) new_esEs9(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs27(x0, x1, ty_Double) new_primEqInt(Pos(Zero), Pos(Zero)) new_esEs24(x0, x1, app(ty_Ratio, x2)) new_esEs11(Just(x0), Just(x1), ty_Int) new_esEs21(Left(x0), Left(x1), app(ty_Maybe, x2), x3) new_esEs10(x0, x1, ty_Ordering) new_esEs23(x0, x1, app(ty_[], x2)) new_esEs23(x0, x1, ty_@0) new_esEs24(x0, x1, ty_Integer) new_esEs26(x0, x1, ty_Int) new_esEs21(Right(x0), Right(x1), x2, app(ty_Ratio, x3)) new_esEs22(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs27(x0, x1, ty_Char) new_esEs4(x0, x1, ty_@0) new_esEs10(x0, x1, ty_Char) new_esEs9(x0, x1, app(app(ty_@2, x2), x3)) new_esEs21(Left(x0), Left(x1), app(ty_[], x2), x3) new_esEs21(Left(x0), Left(x1), app(app(app(ty_@3, x2), x3), x4), x5) new_esEs11(Just(x0), Just(x1), ty_Char) new_esEs10(x0, x1, ty_Double) new_esEs9(x0, x1, app(ty_[], x2)) new_primEqInt(Neg(Zero), Neg(Zero)) new_esEs11(Just(x0), Just(x1), ty_Double) new_esEs9(x0, x1, ty_Double) new_sr(Pos(x0), Neg(x1)) new_sr(Neg(x0), Pos(x1)) new_esEs22(x0, x1, ty_Float) new_esEs11(Just(x0), Just(x1), app(ty_Ratio, x2)) new_esEs21(Right(x0), Right(x1), x2, ty_Double) new_esEs22(x0, x1, ty_@0) new_esEs11(Nothing, Just(x0), x1) new_esEs5(x0, x1, ty_Double) new_esEs23(x0, x1, app(ty_Ratio, x2)) new_esEs11(Just(x0), Just(x1), app(app(ty_@2, x2), x3)) new_esEs12(EQ, GT) new_esEs12(GT, EQ) new_esEs27(x0, x1, app(ty_[], x2)) new_esEs5(x0, x1, ty_Bool) new_esEs21(Right(x0), Right(x1), x2, ty_@0) new_esEs22(x0, x1, ty_Double) new_esEs9(x0, x1, ty_Integer) new_esEs27(x0, x1, app(app(ty_Either, x2), x3)) new_esEs23(x0, x1, ty_Ordering) new_esEs10(x0, x1, ty_@0) new_esEs9(x0, x1, ty_Ordering) new_esEs4(x0, x1, app(ty_Ratio, x2)) new_esEs19([], :(x0, x1), x2) new_esEs24(x0, x1, app(app(ty_@2, x2), x3)) new_esEs9(x0, x1, app(ty_Maybe, x2)) new_esEs23(x0, x1, app(app(ty_@2, x2), x3)) new_esEs24(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs19([], [], x0) new_esEs24(x0, x1, ty_Int) new_primEqInt(Pos(Zero), Neg(Zero)) new_primEqInt(Neg(Zero), Pos(Zero)) new_esEs27(x0, x1, ty_@0) new_esEs12(LT, GT) new_esEs12(GT, LT) new_esEs10(x0, x1, ty_Float) new_esEs11(Just(x0), Just(x1), ty_Integer) new_esEs11(Just(x0), Just(x1), app(app(app(ty_@3, x2), x3), x4)) new_esEs16(True, True) new_sr(Neg(x0), Neg(x1)) new_esEs4(x0, x1, app(ty_Maybe, x2)) new_esEs10(x0, x1, app(ty_Maybe, x2)) new_primMulNat0(Succ(x0), Succ(x1)) new_esEs20(Float(x0, x1), Float(x2, x3)) new_primEqInt(Neg(Succ(x0)), Neg(Zero)) new_esEs12(LT, LT) new_esEs9(x0, x1, app(ty_Ratio, x2)) new_esEs17(Char(x0), Char(x1)) new_esEs22(x0, x1, ty_Bool) new_primEqInt(Neg(Succ(x0)), Neg(Succ(x1))) new_esEs24(x0, x1, ty_Char) new_primEqInt(Pos(Zero), Neg(Succ(x0))) new_primEqInt(Neg(Zero), Pos(Succ(x0))) new_esEs5(x0, x1, app(ty_[], x2)) new_primEqNat0(Zero, Succ(x0)) new_esEs4(x0, x1, app(ty_[], x2)) new_esEs24(x0, x1, ty_Double) new_esEs10(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs27(x0, x1, ty_Float) new_esEs21(Right(x0), Right(x1), x2, ty_Float) new_esEs11(Just(x0), Just(x1), ty_Bool) new_esEs10(x0, x1, ty_Integer) new_esEs24(x0, x1, ty_Float) new_esEs21(Right(x0), Right(x1), x2, app(app(app(ty_@3, x3), x4), x5)) new_esEs10(x0, x1, app(ty_[], x2)) new_esEs25(x0, x1, ty_Integer) new_esEs4(x0, x1, ty_Ordering) new_esEs5(x0, x1, ty_Char) new_esEs24(x0, x1, app(app(ty_Either, x2), x3)) new_primMulNat0(Zero, Succ(x0)) new_esEs9(x0, x1, app(app(ty_Either, x2), x3)) new_esEs8(@2(x0, x1), @2(x2, x3), x4, x5) new_esEs10(x0, x1, app(ty_Ratio, x2)) new_esEs24(x0, x1, ty_Ordering) new_esEs11(Just(x0), Just(x1), ty_@0) new_esEs12(GT, GT) new_esEs9(x0, x1, ty_@0) new_esEs4(x0, x1, ty_Float) new_esEs12(LT, EQ) new_esEs12(EQ, LT) new_esEs5(x0, x1, app(app(ty_Either, x2), x3)) new_esEs21(Left(x0), Left(x1), ty_Float, x2) new_esEs24(x0, x1, app(ty_Maybe, x2)) new_esEs11(Nothing, Nothing, x0) new_primEqNat0(Succ(x0), Succ(x1)) new_esEs26(x0, x1, ty_Integer) new_primEqInt(Pos(Zero), Pos(Succ(x0))) new_esEs23(x0, x1, ty_Float) new_esEs4(x0, x1, ty_Char) new_esEs10(x0, x1, app(app(ty_@2, x2), x3)) new_esEs27(x0, x1, app(app(ty_@2, x2), x3)) new_esEs9(x0, x1, ty_Bool) new_esEs11(Just(x0), Just(x1), app(ty_Maybe, x2)) new_esEs15(@3(x0, x1, x2), @3(x3, x4, x5), x6, x7, x8) new_esEs23(x0, x1, app(app(ty_Either, x2), x3)) new_esEs4(x0, x1, ty_Double) new_esEs21(Left(x0), Left(x1), ty_Double, x2) new_esEs27(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs21(Left(x0), Left(x1), app(app(ty_@2, x2), x3), x4) new_esEs21(Left(x0), Right(x1), x2, x3) new_esEs21(Right(x0), Left(x1), x2, x3) new_esEs5(x0, x1, app(ty_Ratio, x2)) new_esEs21(Left(x0), Left(x1), ty_Char, x2) new_esEs5(x0, x1, ty_Ordering) new_esEs23(x0, x1, ty_Integer) new_esEs21(Left(x0), Left(x1), ty_Ordering, x2) new_esEs22(x0, x1, app(ty_[], x2)) new_esEs4(x0, x1, ty_Int) new_primEqInt(Neg(Zero), Neg(Succ(x0))) new_esEs27(x0, x1, ty_Bool) new_esEs18(@0, @0) new_esEs21(Left(x0), Left(x1), ty_Int, x2) new_esEs11(Just(x0), Nothing, x1) new_primPlusNat1(Zero, Succ(x0)) new_esEs23(x0, x1, app(ty_Maybe, x2)) new_esEs9(x0, x1, ty_Char) new_esEs5(x0, x1, ty_Int) new_esEs22(x0, x1, ty_Integer) new_esEs6(Double(x0, x1), Double(x2, x3)) new_esEs9(x0, x1, ty_Int) new_primEqNat0(Zero, Zero) new_esEs19(:(x0, x1), :(x2, x3), x4) new_esEs21(Right(x0), Right(x1), x2, ty_Bool) new_esEs24(x0, x1, app(ty_[], x2)) new_esEs21(Right(x0), Right(x1), x2, app(app(ty_@2, x3), x4)) new_esEs5(x0, x1, ty_@0) new_esEs21(Left(x0), Left(x1), app(ty_Ratio, x2), x3) new_esEs27(x0, x1, app(ty_Ratio, x2)) new_esEs22(x0, x1, ty_Ordering) new_esEs23(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs21(Right(x0), Right(x1), x2, ty_Ordering) new_esEs16(False, False) new_primPlusNat0(Succ(x0), x1) new_esEs21(Right(x0), Right(x1), x2, app(ty_Maybe, x3)) new_esEs10(x0, x1, app(app(ty_Either, x2), x3)) new_esEs10(x0, x1, ty_Bool) new_primEqInt(Pos(Succ(x0)), Pos(Zero)) new_esEs5(x0, x1, ty_Float) new_esEs23(x0, x1, ty_Int) new_primPlusNat1(Succ(x0), Zero) new_esEs16(False, True) new_esEs16(True, False) new_esEs22(x0, x1, app(ty_Maybe, x2)) new_esEs23(x0, x1, ty_Double) new_sr(Pos(x0), Pos(x1)) new_esEs21(Right(x0), Right(x1), x2, app(ty_[], x3)) new_esEs21(Right(x0), Right(x1), x2, app(app(ty_Either, x3), x4)) new_esEs14(Integer(x0), Integer(x1)) new_esEs4(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs22(x0, x1, app(app(ty_Either, x2), x3)) new_primPlusNat1(Succ(x0), Succ(x1)) new_esEs19(:(x0, x1), [], x2) new_esEs5(x0, x1, app(app(ty_@2, x2), x3)) new_esEs23(x0, x1, ty_Char) new_esEs23(x0, x1, ty_Bool) new_primEqInt(Pos(Succ(x0)), Pos(Succ(x1))) new_esEs9(x0, x1, ty_Float) new_esEs27(x0, x1, ty_Integer) new_esEs21(Left(x0), Left(x1), app(app(ty_Either, x2), x3), x4) new_esEs22(x0, x1, app(ty_Ratio, x2)) new_esEs22(x0, x1, app(app(ty_@2, x2), x3)) new_primEqNat0(Succ(x0), Zero) new_asAs(False, x0) new_esEs5(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs21(Right(x0), Right(x1), x2, ty_Integer) 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_deleteBy(@2(xy400, xy401), :(@2(xy300, xy301), xy31), bc, bd) -> new_deleteBy0(xy31, xy300, xy301, xy400, xy401, new_asAs(new_esEs4(xy400, xy300, bc), new_esEs5(xy401, xy301, 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 ---------------------------------------- (11) YES ---------------------------------------- (12) Obligation: Q DP problem: The TRS P consists of the following rules: new_esEs(Just(xy4000), Just(xy3000), app(ty_[], bg)) -> new_esEs2(xy4000, xy3000, bg) new_esEs0(@2(xy4000, xy4001), @2(xy3000, xy3001), de, app(ty_Maybe, df)) -> new_esEs(xy4001, xy3001, df) new_esEs3(Left(xy4000), Left(xy3000), app(app(ty_Either, bch), bda), bca) -> new_esEs3(xy4000, xy3000, bch, bda) new_esEs2(:(xy4000, xy4001), :(xy3000, xy3001), bbg) -> new_esEs2(xy4001, xy3001, bbg) new_esEs3(Right(xy4000), Right(xy3000), bdb, app(ty_[], bea)) -> new_esEs2(xy4000, xy3000, bea) new_esEs2(:(xy4000, xy4001), :(xy3000, xy3001), app(app(ty_@2, bag), bah)) -> new_esEs0(xy4000, xy3000, bag, bah) new_esEs0(@2(xy4000, xy4001), @2(xy3000, xy3001), de, app(app(ty_@2, dg), dh)) -> new_esEs0(xy4001, xy3001, dg, dh) new_esEs1(@3(xy4000, xy4001, xy4002), @3(xy3000, xy3001, xy3002), app(app(app(ty_@3, fd), ff), fg), eh, fa) -> new_esEs1(xy4000, xy3000, fd, ff, fg) new_esEs0(@2(xy4000, xy4001), @2(xy3000, xy3001), app(app(ty_Either, dc), dd), cc) -> new_esEs3(xy4000, xy3000, dc, dd) new_esEs3(Right(xy4000), Right(xy3000), bdb, app(ty_Maybe, bdc)) -> new_esEs(xy4000, xy3000, bdc) new_esEs(Just(xy4000), Just(xy3000), app(ty_Maybe, ba)) -> new_esEs(xy4000, xy3000, ba) new_esEs1(@3(xy4000, xy4001, xy4002), @3(xy3000, xy3001, xy3002), gc, eh, app(ty_[], bac)) -> new_esEs2(xy4002, xy3002, bac) new_esEs1(@3(xy4000, xy4001, xy4002), @3(xy3000, xy3001, xy3002), gc, app(ty_[], hb), fa) -> new_esEs2(xy4001, xy3001, hb) new_esEs3(Left(xy4000), Left(xy3000), app(app(ty_@2, bcb), bcc), bca) -> new_esEs0(xy4000, xy3000, bcb, bcc) new_esEs(Just(xy4000), Just(xy3000), app(app(app(ty_@3, bd), be), bf)) -> new_esEs1(xy4000, xy3000, bd, be, bf) new_esEs3(Right(xy4000), Right(xy3000), bdb, app(app(ty_Either, beb), bec)) -> new_esEs3(xy4000, xy3000, beb, bec) new_esEs(Just(xy4000), Just(xy3000), app(app(ty_@2, bb), bc)) -> new_esEs0(xy4000, xy3000, bb, bc) new_esEs0(@2(xy4000, xy4001), @2(xy3000, xy3001), de, app(app(ty_Either, ee), ef)) -> new_esEs3(xy4001, xy3001, ee, ef) new_esEs1(@3(xy4000, xy4001, xy4002), @3(xy3000, xy3001, xy3002), app(ty_[], fh), eh, fa) -> new_esEs2(xy4000, xy3000, fh) new_esEs1(@3(xy4000, xy4001, xy4002), @3(xy3000, xy3001, xy3002), gc, eh, app(ty_Maybe, he)) -> new_esEs(xy4002, xy3002, he) new_esEs0(@2(xy4000, xy4001), @2(xy3000, xy3001), app(ty_Maybe, cb), cc) -> new_esEs(xy4000, xy3000, cb) new_esEs2(:(xy4000, xy4001), :(xy3000, xy3001), app(app(app(ty_@3, bba), bbb), bbc)) -> new_esEs1(xy4000, xy3000, bba, bbb, bbc) new_esEs1(@3(xy4000, xy4001, xy4002), @3(xy3000, xy3001, xy3002), app(app(ty_Either, ga), gb), eh, fa) -> new_esEs3(xy4000, xy3000, ga, gb) new_esEs1(@3(xy4000, xy4001, xy4002), @3(xy3000, xy3001, xy3002), gc, app(ty_Maybe, gd), fa) -> new_esEs(xy4001, xy3001, gd) new_esEs3(Right(xy4000), Right(xy3000), bdb, app(app(app(ty_@3, bdf), bdg), bdh)) -> new_esEs1(xy4000, xy3000, bdf, bdg, bdh) new_esEs0(@2(xy4000, xy4001), @2(xy3000, xy3001), de, app(app(app(ty_@3, ea), eb), ec)) -> new_esEs1(xy4001, xy3001, ea, eb, ec) new_esEs1(@3(xy4000, xy4001, xy4002), @3(xy3000, xy3001, xy3002), gc, app(app(ty_@2, ge), gf), fa) -> new_esEs0(xy4001, xy3001, ge, gf) new_esEs1(@3(xy4000, xy4001, xy4002), @3(xy3000, xy3001, xy3002), app(ty_Maybe, eg), eh, fa) -> new_esEs(xy4000, xy3000, eg) new_esEs3(Right(xy4000), Right(xy3000), bdb, app(app(ty_@2, bdd), bde)) -> new_esEs0(xy4000, xy3000, bdd, bde) new_esEs1(@3(xy4000, xy4001, xy4002), @3(xy3000, xy3001, xy3002), gc, eh, app(app(ty_@2, hf), hg)) -> new_esEs0(xy4002, xy3002, hf, hg) new_esEs3(Left(xy4000), Left(xy3000), app(ty_Maybe, bbh), bca) -> new_esEs(xy4000, xy3000, bbh) new_esEs0(@2(xy4000, xy4001), @2(xy3000, xy3001), app(ty_[], db), cc) -> new_esEs2(xy4000, xy3000, db) new_esEs1(@3(xy4000, xy4001, xy4002), @3(xy3000, xy3001, xy3002), gc, eh, app(app(app(ty_@3, hh), baa), bab)) -> new_esEs1(xy4002, xy3002, hh, baa, bab) new_esEs(Just(xy4000), Just(xy3000), app(app(ty_Either, bh), ca)) -> new_esEs3(xy4000, xy3000, bh, ca) new_esEs1(@3(xy4000, xy4001, xy4002), @3(xy3000, xy3001, xy3002), gc, app(app(ty_Either, hc), hd), fa) -> new_esEs3(xy4001, xy3001, hc, hd) new_esEs2(:(xy4000, xy4001), :(xy3000, xy3001), app(ty_Maybe, baf)) -> new_esEs(xy4000, xy3000, baf) new_esEs0(@2(xy4000, xy4001), @2(xy3000, xy3001), de, app(ty_[], ed)) -> new_esEs2(xy4001, xy3001, ed) new_esEs1(@3(xy4000, xy4001, xy4002), @3(xy3000, xy3001, xy3002), app(app(ty_@2, fb), fc), eh, fa) -> new_esEs0(xy4000, xy3000, fb, fc) new_esEs3(Left(xy4000), Left(xy3000), app(app(app(ty_@3, bcd), bce), bcf), bca) -> new_esEs1(xy4000, xy3000, bcd, bce, bcf) new_esEs2(:(xy4000, xy4001), :(xy3000, xy3001), app(ty_[], bbd)) -> new_esEs2(xy4000, xy3000, bbd) new_esEs1(@3(xy4000, xy4001, xy4002), @3(xy3000, xy3001, xy3002), gc, eh, app(app(ty_Either, bad), bae)) -> new_esEs3(xy4002, xy3002, bad, bae) new_esEs2(:(xy4000, xy4001), :(xy3000, xy3001), app(app(ty_Either, bbe), bbf)) -> new_esEs3(xy4000, xy3000, bbe, bbf) new_esEs0(@2(xy4000, xy4001), @2(xy3000, xy3001), app(app(ty_@2, cd), ce), cc) -> new_esEs0(xy4000, xy3000, cd, ce) new_esEs1(@3(xy4000, xy4001, xy4002), @3(xy3000, xy3001, xy3002), gc, app(app(app(ty_@3, gg), gh), ha), fa) -> new_esEs1(xy4001, xy3001, gg, gh, ha) new_esEs3(Left(xy4000), Left(xy3000), app(ty_[], bcg), bca) -> new_esEs2(xy4000, xy3000, bcg) new_esEs0(@2(xy4000, xy4001), @2(xy3000, xy3001), app(app(app(ty_@3, cf), cg), da), cc) -> new_esEs1(xy4000, xy3000, cf, cg, da) R is empty. Q is empty. We have to consider all minimal (P,Q,R)-chains. ---------------------------------------- (13) QDPSizeChangeProof (EQUIVALENT) By using the subterm criterion [SUBTERM_CRITERION] together with the size-change analysis [AAECC05] we have proven that there are no infinite chains for this DP problem. From the DPs we obtained the following set of size-change graphs: *new_esEs2(:(xy4000, xy4001), :(xy3000, xy3001), app(ty_Maybe, baf)) -> new_esEs(xy4000, xy3000, baf) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs2(:(xy4000, xy4001), :(xy3000, xy3001), app(app(ty_@2, bag), bah)) -> new_esEs0(xy4000, xy3000, bag, bah) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs(Just(xy4000), Just(xy3000), app(ty_Maybe, ba)) -> new_esEs(xy4000, xy3000, ba) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs(Just(xy4000), Just(xy3000), app(app(ty_@2, bb), bc)) -> new_esEs0(xy4000, xy3000, bb, bc) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs2(:(xy4000, xy4001), :(xy3000, xy3001), app(app(ty_Either, bbe), bbf)) -> new_esEs3(xy4000, xy3000, bbe, bbf) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs(Just(xy4000), Just(xy3000), app(app(ty_Either, bh), ca)) -> new_esEs3(xy4000, xy3000, bh, ca) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs2(:(xy4000, xy4001), :(xy3000, xy3001), app(app(app(ty_@3, bba), bbb), bbc)) -> new_esEs1(xy4000, xy3000, bba, bbb, bbc) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 *new_esEs(Just(xy4000), Just(xy3000), app(ty_[], bg)) -> new_esEs2(xy4000, xy3000, bg) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs(Just(xy4000), Just(xy3000), app(app(app(ty_@3, bd), be), bf)) -> new_esEs1(xy4000, xy3000, bd, be, bf) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 *new_esEs2(:(xy4000, xy4001), :(xy3000, xy3001), bbg) -> new_esEs2(xy4001, xy3001, bbg) The graph contains the following edges 1 > 1, 2 > 2, 3 >= 3 *new_esEs2(:(xy4000, xy4001), :(xy3000, xy3001), app(ty_[], bbd)) -> new_esEs2(xy4000, xy3000, bbd) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs3(Right(xy4000), Right(xy3000), bdb, app(ty_Maybe, bdc)) -> new_esEs(xy4000, xy3000, bdc) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 *new_esEs3(Left(xy4000), Left(xy3000), app(ty_Maybe, bbh), bca) -> new_esEs(xy4000, xy3000, bbh) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs0(@2(xy4000, xy4001), @2(xy3000, xy3001), de, app(ty_Maybe, df)) -> new_esEs(xy4001, xy3001, df) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 *new_esEs0(@2(xy4000, xy4001), @2(xy3000, xy3001), app(ty_Maybe, cb), cc) -> new_esEs(xy4000, xy3000, cb) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs1(@3(xy4000, xy4001, xy4002), @3(xy3000, xy3001, xy3002), gc, eh, app(ty_Maybe, he)) -> new_esEs(xy4002, xy3002, he) The graph contains the following edges 1 > 1, 2 > 2, 5 > 3 *new_esEs1(@3(xy4000, xy4001, xy4002), @3(xy3000, xy3001, xy3002), gc, app(ty_Maybe, gd), fa) -> new_esEs(xy4001, xy3001, gd) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 *new_esEs1(@3(xy4000, xy4001, xy4002), @3(xy3000, xy3001, xy3002), app(ty_Maybe, eg), eh, fa) -> new_esEs(xy4000, xy3000, eg) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs3(Left(xy4000), Left(xy3000), app(app(ty_@2, bcb), bcc), bca) -> new_esEs0(xy4000, xy3000, bcb, bcc) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs3(Right(xy4000), Right(xy3000), bdb, app(app(ty_@2, bdd), bde)) -> new_esEs0(xy4000, xy3000, bdd, bde) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 *new_esEs0(@2(xy4000, xy4001), @2(xy3000, xy3001), de, app(app(ty_@2, dg), dh)) -> new_esEs0(xy4001, xy3001, dg, dh) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 *new_esEs0(@2(xy4000, xy4001), @2(xy3000, xy3001), app(app(ty_@2, cd), ce), cc) -> new_esEs0(xy4000, xy3000, cd, ce) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs1(@3(xy4000, xy4001, xy4002), @3(xy3000, xy3001, xy3002), gc, app(app(ty_@2, ge), gf), fa) -> new_esEs0(xy4001, xy3001, ge, gf) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 *new_esEs1(@3(xy4000, xy4001, xy4002), @3(xy3000, xy3001, xy3002), gc, eh, app(app(ty_@2, hf), hg)) -> new_esEs0(xy4002, xy3002, hf, hg) The graph contains the following edges 1 > 1, 2 > 2, 5 > 3, 5 > 4 *new_esEs1(@3(xy4000, xy4001, xy4002), @3(xy3000, xy3001, xy3002), app(app(ty_@2, fb), fc), eh, fa) -> new_esEs0(xy4000, xy3000, fb, fc) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs3(Left(xy4000), Left(xy3000), app(app(ty_Either, bch), bda), bca) -> new_esEs3(xy4000, xy3000, bch, bda) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs3(Right(xy4000), Right(xy3000), bdb, app(app(ty_Either, beb), bec)) -> new_esEs3(xy4000, xy3000, beb, bec) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 *new_esEs3(Right(xy4000), Right(xy3000), bdb, app(ty_[], bea)) -> new_esEs2(xy4000, xy3000, bea) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 *new_esEs3(Left(xy4000), Left(xy3000), app(ty_[], bcg), bca) -> new_esEs2(xy4000, xy3000, bcg) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs3(Right(xy4000), Right(xy3000), bdb, app(app(app(ty_@3, bdf), bdg), bdh)) -> new_esEs1(xy4000, xy3000, bdf, bdg, bdh) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4, 4 > 5 *new_esEs3(Left(xy4000), Left(xy3000), app(app(app(ty_@3, bcd), bce), bcf), bca) -> new_esEs1(xy4000, xy3000, bcd, bce, bcf) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 *new_esEs0(@2(xy4000, xy4001), @2(xy3000, xy3001), app(app(ty_Either, dc), dd), cc) -> new_esEs3(xy4000, xy3000, dc, dd) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs0(@2(xy4000, xy4001), @2(xy3000, xy3001), de, app(app(ty_Either, ee), ef)) -> new_esEs3(xy4001, xy3001, ee, ef) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 *new_esEs1(@3(xy4000, xy4001, xy4002), @3(xy3000, xy3001, xy3002), app(app(ty_Either, ga), gb), eh, fa) -> new_esEs3(xy4000, xy3000, ga, gb) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs1(@3(xy4000, xy4001, xy4002), @3(xy3000, xy3001, xy3002), gc, app(app(ty_Either, hc), hd), fa) -> new_esEs3(xy4001, xy3001, hc, hd) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 *new_esEs1(@3(xy4000, xy4001, xy4002), @3(xy3000, xy3001, xy3002), gc, eh, app(app(ty_Either, bad), bae)) -> new_esEs3(xy4002, xy3002, bad, bae) The graph contains the following edges 1 > 1, 2 > 2, 5 > 3, 5 > 4 *new_esEs0(@2(xy4000, xy4001), @2(xy3000, xy3001), app(ty_[], db), cc) -> new_esEs2(xy4000, xy3000, db) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs0(@2(xy4000, xy4001), @2(xy3000, xy3001), de, app(ty_[], ed)) -> new_esEs2(xy4001, xy3001, ed) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 *new_esEs1(@3(xy4000, xy4001, xy4002), @3(xy3000, xy3001, xy3002), gc, eh, app(ty_[], bac)) -> new_esEs2(xy4002, xy3002, bac) The graph contains the following edges 1 > 1, 2 > 2, 5 > 3 *new_esEs1(@3(xy4000, xy4001, xy4002), @3(xy3000, xy3001, xy3002), gc, app(ty_[], hb), fa) -> new_esEs2(xy4001, xy3001, hb) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 *new_esEs1(@3(xy4000, xy4001, xy4002), @3(xy3000, xy3001, xy3002), app(ty_[], fh), eh, fa) -> new_esEs2(xy4000, xy3000, fh) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs0(@2(xy4000, xy4001), @2(xy3000, xy3001), de, app(app(app(ty_@3, ea), eb), ec)) -> new_esEs1(xy4001, xy3001, ea, eb, ec) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4, 4 > 5 *new_esEs0(@2(xy4000, xy4001), @2(xy3000, xy3001), app(app(app(ty_@3, cf), cg), da), cc) -> new_esEs1(xy4000, xy3000, cf, cg, da) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 *new_esEs1(@3(xy4000, xy4001, xy4002), @3(xy3000, xy3001, xy3002), app(app(app(ty_@3, fd), ff), fg), eh, fa) -> new_esEs1(xy4000, xy3000, fd, ff, fg) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 *new_esEs1(@3(xy4000, xy4001, xy4002), @3(xy3000, xy3001, xy3002), gc, eh, app(app(app(ty_@3, hh), baa), bab)) -> new_esEs1(xy4002, xy3002, hh, baa, bab) The graph contains the following edges 1 > 1, 2 > 2, 5 > 3, 5 > 4, 5 > 5 *new_esEs1(@3(xy4000, xy4001, xy4002), @3(xy3000, xy3001, xy3002), gc, app(app(app(ty_@3, gg), gh), ha), fa) -> new_esEs1(xy4001, xy3001, gg, gh, ha) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4, 4 > 5 ---------------------------------------- (14) YES ---------------------------------------- (15) Obligation: Q DP problem: The TRS P consists of the following rules: new_foldl(xy3, :(xy40, xy41), ba, bb) -> new_foldl(new_deleteBy1(xy40, xy3, ba, bb), xy41, ba, bb) The TRS R consists of the following rules: new_esEs22(xy4000, xy3000, app(app(ty_@2, gc), gd)) -> new_esEs8(xy4000, xy3000, gc, gd) new_esEs27(xy4000, xy3000, app(ty_Ratio, bcd)) -> new_esEs13(xy4000, xy3000, bcd) new_primEqInt(Pos(Zero), Pos(Zero)) -> True new_esEs11(Just(xy4000), Just(xy3000), app(app(app(ty_@3, eg), eh), fa)) -> new_esEs15(xy4000, xy3000, eg, eh, fa) new_esEs11(Just(xy4000), Just(xy3000), ty_Bool) -> new_esEs16(xy4000, xy3000) new_esEs19(:(xy4000, xy4001), :(xy3000, xy3001), bcb) -> new_asAs(new_esEs27(xy4000, xy3000, bcb), new_esEs19(xy4001, xy3001, bcb)) new_deleteBy1(xy40, [], ba, bb) -> [] new_esEs11(Just(xy4000), Just(xy3000), ty_Int) -> new_esEs7(xy4000, xy3000) new_esEs23(xy4001, xy3001, ty_Char) -> new_esEs17(xy4001, xy3001) new_esEs11(Just(xy4000), Just(xy3000), ty_Double) -> new_esEs6(xy4000, xy3000) new_esEs27(xy4000, xy3000, ty_Float) -> new_esEs20(xy4000, xy3000) new_esEs24(xy4002, xy3002, app(ty_Maybe, bae)) -> new_esEs11(xy4002, xy3002, bae) new_esEs24(xy4002, xy3002, app(ty_[], bbd)) -> new_esEs19(xy4002, xy3002, bbd) new_esEs21(Right(xy4000), Right(xy3000), bde, app(ty_Maybe, bgc)) -> new_esEs11(xy4000, xy3000, bgc) new_esEs5(xy401, xy301, ty_Double) -> new_esEs6(xy401, xy301) new_esEs19(:(xy4000, xy4001), [], bcb) -> False new_esEs19([], :(xy3000, xy3001), bcb) -> False new_esEs24(xy4002, xy3002, ty_Integer) -> new_esEs14(xy4002, xy3002) new_esEs10(xy4001, xy3001, ty_Float) -> new_esEs20(xy4001, xy3001) new_esEs18(@0, @0) -> True new_esEs10(xy4001, xy3001, app(ty_Ratio, da)) -> new_esEs13(xy4001, xy3001, da) new_esEs5(xy401, xy301, ty_Bool) -> new_esEs16(xy401, xy301) new_esEs21(Left(xy4000), Left(xy3000), app(ty_[], bfh), bdf) -> new_esEs19(xy4000, xy3000, bfh) new_esEs24(xy4002, xy3002, app(app(ty_Either, bbe), bbf)) -> new_esEs21(xy4002, xy3002, bbe, bbf) new_esEs9(xy4000, xy3000, ty_Bool) -> new_esEs16(xy4000, xy3000) new_esEs12(GT, GT) -> True new_esEs5(xy401, xy301, app(app(app(ty_@3, bec), bed), bee)) -> new_esEs15(xy401, xy301, bec, bed, bee) new_asAs(True, xy43) -> xy43 new_esEs5(xy401, xy301, app(ty_[], bef)) -> new_esEs19(xy401, xy301, bef) new_esEs11(Just(xy4000), Just(xy3000), app(ty_Maybe, ec)) -> new_esEs11(xy4000, xy3000, ec) new_esEs24(xy4002, xy3002, app(app(app(ty_@3, bba), bbb), bbc)) -> new_esEs15(xy4002, xy3002, bba, bbb, bbc) new_primEqInt(Pos(Succ(xy40000)), Pos(Zero)) -> False new_primEqInt(Pos(Zero), Pos(Succ(xy30000))) -> False new_esEs21(Left(xy4000), Left(xy3000), ty_Bool, bdf) -> new_esEs16(xy4000, xy3000) new_esEs9(xy4000, xy3000, ty_@0) -> new_esEs18(xy4000, xy3000) new_esEs21(Right(xy4000), Right(xy3000), bde, ty_Char) -> new_esEs17(xy4000, xy3000) new_esEs21(Left(xy4000), Right(xy3000), bde, bdf) -> False new_esEs21(Right(xy4000), Left(xy3000), bde, bdf) -> False new_esEs4(xy400, xy300, app(ty_Ratio, bbg)) -> new_esEs13(xy400, xy300, bbg) new_esEs4(xy400, xy300, ty_Char) -> new_esEs17(xy400, xy300) new_esEs21(Right(xy4000), Right(xy3000), bde, app(app(ty_@2, bge), bgf)) -> new_esEs8(xy4000, xy3000, bge, bgf) new_esEs11(Just(xy4000), Just(xy3000), ty_Integer) -> new_esEs14(xy4000, xy3000) new_esEs11(Just(xy4000), Just(xy3000), app(ty_[], fb)) -> new_esEs19(xy4000, xy3000, fb) new_esEs21(Right(xy4000), Right(xy3000), bde, app(ty_[], bhb)) -> new_esEs19(xy4000, xy3000, bhb) new_primEqNat0(Succ(xy40000), Succ(xy30000)) -> new_primEqNat0(xy40000, xy30000) new_esEs26(xy4001, xy3001, ty_Integer) -> new_esEs14(xy4001, xy3001) new_esEs22(xy4000, xy3000, app(ty_Ratio, gb)) -> new_esEs13(xy4000, xy3000, gb) new_esEs21(Left(xy4000), Left(xy3000), app(app(app(ty_@3, bfe), bff), bfg), bdf) -> new_esEs15(xy4000, xy3000, bfe, bff, bfg) new_esEs5(xy401, xy301, app(ty_Maybe, bdg)) -> new_esEs11(xy401, xy301, bdg) new_esEs5(xy401, xy301, ty_Integer) -> new_esEs14(xy401, xy301) new_esEs22(xy4000, xy3000, ty_Float) -> new_esEs20(xy4000, xy3000) new_esEs24(xy4002, xy3002, ty_Bool) -> new_esEs16(xy4002, xy3002) new_esEs5(xy401, xy301, ty_Int) -> new_esEs7(xy401, xy301) new_esEs26(xy4001, xy3001, ty_Int) -> new_esEs7(xy4001, xy3001) new_esEs12(EQ, EQ) -> True new_esEs21(Right(xy4000), Right(xy3000), bde, app(app(ty_Either, bhc), bhd)) -> new_esEs21(xy4000, xy3000, bhc, bhd) new_esEs22(xy4000, xy3000, app(app(ty_Either, ha), hb)) -> new_esEs21(xy4000, xy3000, ha, hb) new_esEs10(xy4001, xy3001, app(app(ty_Either, dh), ea)) -> new_esEs21(xy4001, xy3001, dh, ea) new_esEs23(xy4001, xy3001, ty_Float) -> new_esEs20(xy4001, xy3001) new_esEs17(Char(xy4000), Char(xy3000)) -> new_primEqNat0(xy4000, xy3000) new_esEs23(xy4001, xy3001, ty_Int) -> new_esEs7(xy4001, xy3001) new_primMulNat0(Zero, Zero) -> Zero new_esEs21(Left(xy4000), Left(xy3000), app(app(ty_Either, bga), bgb), bdf) -> new_esEs21(xy4000, xy3000, bga, bgb) new_esEs21(Right(xy4000), Right(xy3000), bde, ty_Double) -> new_esEs6(xy4000, xy3000) new_esEs23(xy4001, xy3001, app(ty_Ratio, hd)) -> new_esEs13(xy4001, xy3001, hd) new_esEs27(xy4000, xy3000, app(app(ty_Either, bdc), bdd)) -> new_esEs21(xy4000, xy3000, bdc, bdd) new_esEs10(xy4001, xy3001, ty_Char) -> new_esEs17(xy4001, xy3001) new_esEs11(Just(xy4000), Just(xy3000), ty_Char) -> new_esEs17(xy4000, xy3000) new_esEs27(xy4000, xy3000, ty_Char) -> new_esEs17(xy4000, xy3000) new_esEs4(xy400, xy300, ty_Float) -> new_esEs20(xy400, xy300) new_esEs11(Just(xy4000), Just(xy3000), app(app(ty_Either, fc), fd)) -> new_esEs21(xy4000, xy3000, fc, fd) new_esEs24(xy4002, xy3002, ty_Float) -> new_esEs20(xy4002, xy3002) new_esEs12(LT, LT) -> True new_esEs4(xy400, xy300, ty_Ordering) -> new_esEs12(xy400, xy300) new_esEs4(xy400, xy300, ty_Int) -> new_esEs7(xy400, xy300) new_primEqNat0(Succ(xy40000), Zero) -> False new_primEqNat0(Zero, Succ(xy30000)) -> False new_esEs23(xy4001, xy3001, ty_@0) -> new_esEs18(xy4001, xy3001) new_esEs27(xy4000, xy3000, app(ty_[], bdb)) -> new_esEs19(xy4000, xy3000, bdb) new_esEs9(xy4000, xy3000, ty_Double) -> new_esEs6(xy4000, xy3000) new_esEs11(Just(xy4000), Just(xy3000), ty_Ordering) -> new_esEs12(xy4000, xy3000) new_esEs9(xy4000, xy3000, ty_Char) -> new_esEs17(xy4000, xy3000) new_esEs24(xy4002, xy3002, app(ty_Ratio, baf)) -> new_esEs13(xy4002, xy3002, baf) new_esEs13(:%(xy4000, xy4001), :%(xy3000, xy3001), bbg) -> new_asAs(new_esEs25(xy4000, xy3000, bbg), new_esEs26(xy4001, xy3001, bbg)) new_esEs22(xy4000, xy3000, ty_Double) -> new_esEs6(xy4000, xy3000) new_esEs10(xy4001, xy3001, app(ty_[], dg)) -> new_esEs19(xy4001, xy3001, dg) new_esEs27(xy4000, xy3000, ty_Ordering) -> new_esEs12(xy4000, xy3000) new_esEs5(xy401, xy301, app(ty_Ratio, bdh)) -> new_esEs13(xy401, xy301, bdh) new_esEs24(xy4002, xy3002, app(app(ty_@2, bag), bah)) -> new_esEs8(xy4002, xy3002, bag, bah) new_esEs21(Left(xy4000), Left(xy3000), app(ty_Maybe, bfa), bdf) -> new_esEs11(xy4000, xy3000, bfa) new_esEs5(xy401, xy301, app(app(ty_@2, bea), beb)) -> new_esEs8(xy401, xy301, bea, beb) new_deleteBy1(@2(xy400, xy401), :(@2(xy300, xy301), xy31), ba, bb) -> new_deleteBy00(xy31, xy300, xy301, xy400, xy401, new_asAs(new_esEs4(xy400, xy300, ba), new_esEs5(xy401, xy301, bb)), ba, bb) new_esEs21(Right(xy4000), Right(xy3000), bde, ty_Int) -> new_esEs7(xy4000, xy3000) new_esEs21(Left(xy4000), Left(xy3000), ty_Double, bdf) -> new_esEs6(xy4000, xy3000) new_primEqInt(Neg(Succ(xy40000)), Neg(Zero)) -> False new_primEqInt(Neg(Zero), Neg(Succ(xy30000))) -> False new_esEs22(xy4000, xy3000, ty_Ordering) -> new_esEs12(xy4000, xy3000) new_esEs10(xy4001, xy3001, ty_Ordering) -> new_esEs12(xy4001, xy3001) new_primEqInt(Pos(Succ(xy40000)), Pos(Succ(xy30000))) -> new_primEqNat0(xy40000, xy30000) new_esEs21(Left(xy4000), Left(xy3000), ty_Char, bdf) -> new_esEs17(xy4000, xy3000) new_esEs4(xy400, xy300, app(ty_Maybe, eb)) -> new_esEs11(xy400, xy300, eb) new_esEs24(xy4002, xy3002, ty_@0) -> new_esEs18(xy4002, xy3002) new_esEs27(xy4000, xy3000, app(ty_Maybe, bcc)) -> new_esEs11(xy4000, xy3000, bcc) new_esEs5(xy401, xy301, ty_@0) -> new_esEs18(xy401, xy301) new_esEs9(xy4000, xy3000, app(ty_Maybe, be)) -> new_esEs11(xy4000, xy3000, be) new_esEs21(Left(xy4000), Left(xy3000), ty_Int, bdf) -> new_esEs7(xy4000, xy3000) new_esEs9(xy4000, xy3000, app(ty_[], cd)) -> new_esEs19(xy4000, xy3000, cd) new_esEs7(xy400, xy300) -> new_primEqInt(xy400, xy300) new_esEs27(xy4000, xy3000, ty_Double) -> new_esEs6(xy4000, xy3000) new_sr(Pos(xy40010), Neg(xy30000)) -> Neg(new_primMulNat0(xy40010, xy30000)) new_sr(Neg(xy40010), Pos(xy30000)) -> Neg(new_primMulNat0(xy40010, xy30000)) new_esEs16(True, True) -> True new_esEs22(xy4000, xy3000, app(ty_[], gh)) -> new_esEs19(xy4000, xy3000, gh) new_esEs4(xy400, xy300, app(ty_[], bcb)) -> new_esEs19(xy400, xy300, bcb) new_primPlusNat1(Succ(xy4400), Succ(xy3000000)) -> Succ(Succ(new_primPlusNat1(xy4400, xy3000000))) new_esEs9(xy4000, xy3000, ty_Ordering) -> new_esEs12(xy4000, xy3000) new_primEqInt(Pos(Succ(xy40000)), Neg(xy3000)) -> False new_primEqInt(Neg(Succ(xy40000)), Pos(xy3000)) -> False new_esEs22(xy4000, xy3000, ty_Int) -> new_esEs7(xy4000, xy3000) new_esEs10(xy4001, xy3001, ty_Double) -> new_esEs6(xy4001, xy3001) new_esEs21(Left(xy4000), Left(xy3000), ty_Ordering, bdf) -> new_esEs12(xy4000, xy3000) new_esEs22(xy4000, xy3000, app(ty_Maybe, ga)) -> new_esEs11(xy4000, xy3000, ga) new_esEs12(EQ, GT) -> False new_esEs12(GT, EQ) -> False new_esEs21(Right(xy4000), Right(xy3000), bde, app(app(app(ty_@3, bgg), bgh), bha)) -> new_esEs15(xy4000, xy3000, bgg, bgh, bha) new_esEs5(xy401, xy301, ty_Float) -> new_esEs20(xy401, xy301) new_esEs9(xy4000, xy3000, ty_Int) -> new_esEs7(xy4000, xy3000) new_esEs10(xy4001, xy3001, ty_Bool) -> new_esEs16(xy4001, xy3001) new_esEs27(xy4000, xy3000, app(app(app(ty_@3, bcg), bch), bda)) -> new_esEs15(xy4000, xy3000, bcg, bch, bda) new_esEs23(xy4001, xy3001, app(ty_[], bab)) -> new_esEs19(xy4001, xy3001, bab) new_esEs10(xy4001, xy3001, ty_@0) -> new_esEs18(xy4001, xy3001) new_esEs19([], [], bcb) -> True new_esEs11(Just(xy4000), Just(xy3000), app(ty_Ratio, ed)) -> new_esEs13(xy4000, xy3000, ed) new_esEs25(xy4000, xy3000, ty_Integer) -> new_esEs14(xy4000, xy3000) new_esEs10(xy4001, xy3001, app(app(app(ty_@3, dd), de), df)) -> new_esEs15(xy4001, xy3001, dd, de, df) new_esEs11(Just(xy4000), Just(xy3000), ty_Float) -> new_esEs20(xy4000, xy3000) new_sr(Neg(xy40010), Neg(xy30000)) -> Pos(new_primMulNat0(xy40010, xy30000)) new_esEs27(xy4000, xy3000, ty_Int) -> new_esEs7(xy4000, xy3000) new_esEs27(xy4000, xy3000, ty_Bool) -> new_esEs16(xy4000, xy3000) new_esEs10(xy4001, xy3001, app(ty_Maybe, cg)) -> new_esEs11(xy4001, xy3001, cg) new_esEs10(xy4001, xy3001, ty_Integer) -> new_esEs14(xy4001, xy3001) new_esEs21(Right(xy4000), Right(xy3000), bde, ty_Ordering) -> new_esEs12(xy4000, xy3000) new_esEs10(xy4001, xy3001, ty_Int) -> new_esEs7(xy4001, xy3001) new_esEs8(@2(xy4000, xy4001), @2(xy3000, xy3001), bc, bd) -> new_asAs(new_esEs9(xy4000, xy3000, bc), new_esEs10(xy4001, xy3001, bd)) new_esEs23(xy4001, xy3001, app(app(ty_@2, he), hf)) -> new_esEs8(xy4001, xy3001, he, hf) new_esEs27(xy4000, xy3000, ty_Integer) -> new_esEs14(xy4000, xy3000) new_esEs11(Nothing, Just(xy3000), eb) -> False new_esEs11(Just(xy4000), Nothing, eb) -> False new_primEqInt(Pos(Zero), Neg(Succ(xy30000))) -> False new_primEqInt(Neg(Zero), Pos(Succ(xy30000))) -> False new_esEs22(xy4000, xy3000, ty_Char) -> new_esEs17(xy4000, xy3000) new_esEs11(Nothing, Nothing, eb) -> True new_esEs12(LT, EQ) -> False new_esEs12(EQ, LT) -> False new_esEs27(xy4000, xy3000, ty_@0) -> new_esEs18(xy4000, xy3000) new_esEs23(xy4001, xy3001, app(ty_Maybe, hc)) -> new_esEs11(xy4001, xy3001, hc) new_esEs23(xy4001, xy3001, ty_Integer) -> new_esEs14(xy4001, xy3001) new_esEs9(xy4000, xy3000, app(app(ty_Either, ce), cf)) -> new_esEs21(xy4000, xy3000, ce, cf) new_primEqInt(Neg(Succ(xy40000)), Neg(Succ(xy30000))) -> new_primEqNat0(xy40000, xy30000) new_esEs12(LT, GT) -> False new_esEs12(GT, LT) -> False new_primPlusNat0(Succ(xy440), xy300000) -> Succ(Succ(new_primPlusNat1(xy440, xy300000))) new_esEs9(xy4000, xy3000, app(app(ty_@2, bg), bh)) -> new_esEs8(xy4000, xy3000, bg, bh) new_esEs21(Right(xy4000), Right(xy3000), bde, ty_Float) -> new_esEs20(xy4000, xy3000) new_esEs23(xy4001, xy3001, ty_Double) -> new_esEs6(xy4001, xy3001) new_esEs4(xy400, xy300, ty_Double) -> new_esEs6(xy400, xy300) new_esEs4(xy400, xy300, app(app(ty_Either, bde), bdf)) -> new_esEs21(xy400, xy300, bde, bdf) new_esEs9(xy4000, xy3000, ty_Float) -> new_esEs20(xy4000, xy3000) new_esEs21(Left(xy4000), Left(xy3000), ty_Float, bdf) -> new_esEs20(xy4000, xy3000) new_esEs9(xy4000, xy3000, app(ty_Ratio, bf)) -> new_esEs13(xy4000, xy3000, bf) new_primPlusNat1(Zero, Zero) -> Zero new_primMulNat0(Succ(xy400100), Zero) -> Zero new_primMulNat0(Zero, Succ(xy300000)) -> Zero new_sr(Pos(xy40010), Pos(xy30000)) -> Pos(new_primMulNat0(xy40010, xy30000)) new_deleteBy00(xy25, xy26, xy27, xy28, xy29, False, bbh, bca) -> :(@2(xy26, xy27), new_deleteBy1(@2(xy28, xy29), xy25, bbh, bca)) new_primPlusNat0(Zero, xy300000) -> Succ(xy300000) new_esEs23(xy4001, xy3001, ty_Ordering) -> new_esEs12(xy4001, xy3001) new_esEs4(xy400, xy300, app(app(ty_@2, bc), bd)) -> new_esEs8(xy400, xy300, bc, bd) new_esEs4(xy400, xy300, ty_@0) -> new_esEs18(xy400, xy300) new_esEs22(xy4000, xy3000, app(app(app(ty_@3, ge), gf), gg)) -> new_esEs15(xy4000, xy3000, ge, gf, gg) new_esEs22(xy4000, xy3000, ty_Bool) -> new_esEs16(xy4000, xy3000) new_esEs5(xy401, xy301, ty_Ordering) -> new_esEs12(xy401, xy301) new_esEs21(Right(xy4000), Right(xy3000), bde, ty_@0) -> new_esEs18(xy4000, xy3000) new_primEqInt(Neg(Zero), Neg(Zero)) -> True new_esEs27(xy4000, xy3000, app(app(ty_@2, bce), bcf)) -> new_esEs8(xy4000, xy3000, bce, bcf) new_esEs21(Right(xy4000), Right(xy3000), bde, ty_Integer) -> new_esEs14(xy4000, xy3000) new_esEs11(Just(xy4000), Just(xy3000), app(app(ty_@2, ee), ef)) -> new_esEs8(xy4000, xy3000, ee, ef) new_primMulNat0(Succ(xy400100), Succ(xy300000)) -> new_primPlusNat0(new_primMulNat0(xy400100, Succ(xy300000)), xy300000) new_esEs22(xy4000, xy3000, ty_@0) -> new_esEs18(xy4000, xy3000) new_esEs24(xy4002, xy3002, ty_Ordering) -> new_esEs12(xy4002, xy3002) new_esEs21(Right(xy4000), Right(xy3000), bde, ty_Bool) -> new_esEs16(xy4000, xy3000) new_esEs21(Left(xy4000), Left(xy3000), app(app(ty_@2, bfc), bfd), bdf) -> new_esEs8(xy4000, xy3000, bfc, bfd) new_esEs16(False, False) -> True new_esEs6(Double(xy4000, xy4001), Double(xy3000, xy3001)) -> new_esEs7(new_sr(xy4000, xy3001), new_sr(xy4001, xy3000)) new_esEs24(xy4002, xy3002, ty_Int) -> new_esEs7(xy4002, xy3002) new_primPlusNat1(Succ(xy4400), Zero) -> Succ(xy4400) new_primPlusNat1(Zero, Succ(xy3000000)) -> Succ(xy3000000) new_esEs23(xy4001, xy3001, app(app(app(ty_@3, hg), hh), baa)) -> new_esEs15(xy4001, xy3001, hg, hh, baa) new_esEs23(xy4001, xy3001, ty_Bool) -> new_esEs16(xy4001, xy3001) new_esEs21(Left(xy4000), Left(xy3000), ty_Integer, bdf) -> new_esEs14(xy4000, xy3000) new_esEs21(Left(xy4000), Left(xy3000), app(ty_Ratio, bfb), bdf) -> new_esEs13(xy4000, xy3000, bfb) new_primEqInt(Pos(Zero), Neg(Zero)) -> True new_primEqInt(Neg(Zero), Pos(Zero)) -> True new_esEs10(xy4001, xy3001, app(app(ty_@2, db), dc)) -> new_esEs8(xy4001, xy3001, db, dc) new_esEs21(Left(xy4000), Left(xy3000), ty_@0, bdf) -> new_esEs18(xy4000, xy3000) new_esEs25(xy4000, xy3000, ty_Int) -> new_esEs7(xy4000, xy3000) new_esEs5(xy401, xy301, ty_Char) -> new_esEs17(xy401, xy301) new_primEqNat0(Zero, Zero) -> True new_esEs9(xy4000, xy3000, app(app(app(ty_@3, ca), cb), cc)) -> new_esEs15(xy4000, xy3000, ca, cb, cc) new_esEs4(xy400, xy300, ty_Bool) -> new_esEs16(xy400, xy300) new_esEs4(xy400, xy300, ty_Integer) -> new_esEs14(xy400, xy300) new_asAs(False, xy43) -> False new_esEs15(@3(xy4000, xy4001, xy4002), @3(xy3000, xy3001, xy3002), ff, fg, fh) -> new_asAs(new_esEs22(xy4000, xy3000, ff), new_asAs(new_esEs23(xy4001, xy3001, fg), new_esEs24(xy4002, xy3002, fh))) new_esEs23(xy4001, xy3001, app(app(ty_Either, bac), bad)) -> new_esEs21(xy4001, xy3001, bac, bad) new_deleteBy00(xy25, xy26, xy27, xy28, xy29, True, bbh, bca) -> xy25 new_esEs22(xy4000, xy3000, ty_Integer) -> new_esEs14(xy4000, xy3000) new_esEs21(Right(xy4000), Right(xy3000), bde, app(ty_Ratio, bgd)) -> new_esEs13(xy4000, xy3000, bgd) new_esEs14(Integer(xy4000), Integer(xy3000)) -> new_primEqInt(xy4000, xy3000) new_esEs20(Float(xy4000, xy4001), Float(xy3000, xy3001)) -> new_esEs7(new_sr(xy4000, xy3001), new_sr(xy4001, xy3000)) new_esEs9(xy4000, xy3000, ty_Integer) -> new_esEs14(xy4000, xy3000) new_esEs5(xy401, xy301, app(app(ty_Either, beg), beh)) -> new_esEs21(xy401, xy301, beg, beh) new_esEs24(xy4002, xy3002, ty_Double) -> new_esEs6(xy4002, xy3002) new_esEs4(xy400, xy300, app(app(app(ty_@3, ff), fg), fh)) -> new_esEs15(xy400, xy300, ff, fg, fh) new_esEs24(xy4002, xy3002, ty_Char) -> new_esEs17(xy4002, xy3002) new_esEs16(False, True) -> False new_esEs16(True, False) -> False new_esEs11(Just(xy4000), Just(xy3000), ty_@0) -> new_esEs18(xy4000, xy3000) The set Q consists of the following terms: new_primEqInt(Pos(Succ(x0)), Neg(x1)) new_primEqInt(Neg(Succ(x0)), Pos(x1)) new_esEs10(x0, x1, app(app(ty_Either, x2), x3)) new_esEs22(x0, x1, ty_Char) new_esEs11(Just(x0), Just(x1), ty_Float) new_esEs23(x0, x1, app(app(ty_@2, x2), x3)) new_esEs21(Left(x0), Left(x1), app(ty_Maybe, x2), x3) new_esEs5(x0, x1, app(ty_Maybe, x2)) new_esEs12(EQ, EQ) new_esEs7(x0, x1) new_asAs(True, x0) new_deleteBy1(@2(x0, x1), :(@2(x2, x3), x4), x5, x6) new_esEs10(x0, x1, ty_Int) new_esEs25(x0, x1, ty_Int) new_esEs21(Right(x0), Right(x1), x2, ty_Char) new_esEs24(x0, x1, ty_Bool) new_esEs27(x0, x1, ty_Ordering) new_esEs21(Left(x0), Left(x1), app(app(ty_@2, x2), x3), x4) new_esEs11(Just(x0), Just(x1), app(ty_Maybe, x2)) new_esEs5(x0, x1, ty_Integer) new_primMulNat0(Zero, Zero) new_esEs4(x0, x1, app(app(ty_Either, x2), x3)) new_esEs24(x0, x1, ty_@0) new_esEs4(x0, x1, ty_Bool) new_primPlusNat1(Zero, Zero) new_esEs8(@2(x0, x1), @2(x2, x3), x4, x5) new_primPlusNat0(Zero, x0) new_esEs21(Left(x0), Left(x1), ty_Bool, x2) new_esEs11(Just(x0), Just(x1), ty_Ordering) new_esEs9(x0, x1, app(app(ty_Either, x2), x3)) new_esEs21(Left(x0), Left(x1), app(ty_[], x2), x3) new_esEs22(x0, x1, ty_Int) new_esEs21(Left(x0), Left(x1), ty_Integer, x2) new_esEs21(Right(x0), Right(x1), x2, ty_Int) new_esEs4(x0, x1, ty_Integer) new_esEs15(@3(x0, x1, x2), @3(x3, x4, x5), x6, x7, x8) new_esEs27(x0, x1, ty_Int) new_esEs21(Left(x0), Left(x1), ty_@0, x2) new_primMulNat0(Succ(x0), Zero) new_esEs27(x0, x1, app(ty_Maybe, x2)) new_esEs27(x0, x1, ty_Double) new_primEqInt(Pos(Zero), Pos(Zero)) new_esEs22(x0, x1, app(app(ty_Either, x2), x3)) new_esEs11(Just(x0), Just(x1), ty_Int) new_esEs10(x0, x1, ty_Ordering) new_esEs23(x0, x1, ty_@0) new_esEs24(x0, x1, ty_Integer) new_esEs26(x0, x1, ty_Int) new_esEs9(x0, x1, app(ty_Maybe, x2)) new_esEs27(x0, x1, ty_Char) new_esEs4(x0, x1, ty_@0) new_esEs10(x0, x1, ty_Char) new_esEs24(x0, x1, app(app(ty_Either, x2), x3)) new_esEs11(Just(x0), Just(x1), ty_Char) new_esEs10(x0, x1, ty_Double) new_esEs23(x0, x1, app(ty_Ratio, x2)) new_primEqInt(Neg(Zero), Neg(Zero)) new_esEs21(Right(x0), Right(x1), x2, app(app(ty_Either, x3), x4)) new_esEs11(Just(x0), Just(x1), ty_Double) new_esEs9(x0, x1, ty_Double) new_sr(Pos(x0), Neg(x1)) new_sr(Neg(x0), Pos(x1)) new_esEs22(x0, x1, ty_Float) new_esEs21(Right(x0), Right(x1), x2, ty_Double) new_esEs22(x0, x1, ty_@0) new_esEs5(x0, x1, ty_Double) new_esEs23(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs12(EQ, GT) new_esEs12(GT, EQ) new_esEs22(x0, x1, app(app(ty_@2, x2), x3)) new_esEs27(x0, x1, app(ty_[], x2)) new_esEs5(x0, x1, ty_Bool) new_esEs9(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs21(Right(x0), Right(x1), x2, ty_@0) new_esEs24(x0, x1, app(ty_Maybe, x2)) new_esEs22(x0, x1, ty_Double) new_esEs9(x0, x1, ty_Integer) new_esEs27(x0, x1, app(app(ty_Either, x2), x3)) new_esEs24(x0, x1, app(ty_Ratio, x2)) new_esEs23(x0, x1, ty_Ordering) new_esEs10(x0, x1, ty_@0) new_esEs9(x0, x1, ty_Ordering) new_esEs19([], :(x0, x1), x2) new_esEs4(x0, x1, app(app(ty_@2, x2), x3)) new_esEs19([], [], x0) new_esEs24(x0, x1, ty_Int) new_primEqInt(Pos(Zero), Neg(Zero)) new_primEqInt(Neg(Zero), Pos(Zero)) new_esEs27(x0, x1, ty_@0) new_esEs10(x0, x1, app(app(ty_@2, x2), x3)) new_deleteBy1(x0, [], x1, x2) new_esEs24(x0, x1, app(ty_[], x2)) new_esEs22(x0, x1, app(ty_Ratio, x2)) new_esEs12(LT, GT) new_esEs12(GT, LT) new_esEs10(x0, x1, ty_Float) new_esEs11(Just(x0), Just(x1), ty_Integer) new_esEs23(x0, x1, app(app(ty_Either, x2), x3)) new_esEs16(True, True) new_esEs9(x0, x1, app(app(ty_@2, x2), x3)) new_sr(Neg(x0), Neg(x1)) new_primMulNat0(Succ(x0), Succ(x1)) new_esEs20(Float(x0, x1), Float(x2, x3)) new_primEqInt(Neg(Succ(x0)), Neg(Zero)) new_esEs12(LT, LT) new_esEs17(Char(x0), Char(x1)) new_esEs22(x0, x1, ty_Bool) new_primEqInt(Neg(Succ(x0)), Neg(Succ(x1))) new_deleteBy00(x0, x1, x2, x3, x4, True, x5, x6) new_esEs24(x0, x1, ty_Char) new_primEqInt(Pos(Zero), Neg(Succ(x0))) new_primEqInt(Neg(Zero), Pos(Succ(x0))) new_primEqNat0(Zero, Succ(x0)) new_esEs4(x0, x1, app(ty_[], x2)) new_esEs24(x0, x1, ty_Double) new_esEs27(x0, x1, ty_Float) new_esEs21(Right(x0), Right(x1), x2, ty_Float) new_esEs11(Just(x0), Just(x1), ty_Bool) new_esEs10(x0, x1, ty_Integer) new_esEs24(x0, x1, ty_Float) new_esEs9(x0, x1, app(ty_[], x2)) new_esEs24(x0, x1, app(app(ty_@2, x2), x3)) new_esEs24(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs25(x0, x1, ty_Integer) new_esEs11(Just(x0), Just(x1), app(app(ty_@2, x2), x3)) new_esEs4(x0, x1, ty_Ordering) new_esEs5(x0, x1, ty_Char) new_esEs21(Left(x0), Left(x1), app(ty_Ratio, x2), x3) new_primMulNat0(Zero, Succ(x0)) new_esEs24(x0, x1, ty_Ordering) new_esEs10(x0, x1, app(ty_[], x2)) new_esEs11(Just(x0), Just(x1), ty_@0) new_esEs12(GT, GT) new_esEs9(x0, x1, ty_@0) new_esEs4(x0, x1, ty_Float) new_esEs12(LT, EQ) new_esEs12(EQ, LT) new_esEs21(Left(x0), Left(x1), ty_Float, x2) new_esEs21(Right(x0), Right(x1), x2, app(app(app(ty_@3, x3), x4), x5)) new_primEqNat0(Succ(x0), Succ(x1)) new_esEs26(x0, x1, ty_Integer) new_esEs11(Just(x0), Just(x1), app(ty_Ratio, x2)) new_primEqInt(Pos(Zero), Pos(Succ(x0))) new_esEs23(x0, x1, ty_Float) new_esEs4(x0, x1, ty_Char) new_esEs22(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs27(x0, x1, app(app(ty_@2, x2), x3)) new_esEs9(x0, x1, ty_Bool) new_esEs4(x0, x1, ty_Double) new_esEs21(Left(x0), Left(x1), ty_Double, x2) new_esEs27(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs22(x0, x1, app(ty_[], x2)) new_esEs21(Right(x0), Right(x1), x2, app(app(ty_@2, x3), x4)) new_esEs21(Left(x0), Right(x1), x2, x3) new_esEs21(Right(x0), Left(x1), x2, x3) new_esEs11(Nothing, Just(x0), x1) new_esEs22(x0, x1, app(ty_Maybe, x2)) new_esEs23(x0, x1, app(ty_Maybe, x2)) new_esEs21(Left(x0), Left(x1), ty_Char, x2) new_esEs5(x0, x1, app(app(ty_@2, x2), x3)) new_esEs5(x0, x1, ty_Ordering) new_esEs23(x0, x1, ty_Integer) new_esEs21(Left(x0), Left(x1), ty_Ordering, x2) new_esEs11(Nothing, Nothing, x0) new_esEs4(x0, x1, ty_Int) new_esEs5(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_primEqInt(Neg(Zero), Neg(Succ(x0))) new_esEs27(x0, x1, ty_Bool) new_esEs18(@0, @0) new_esEs5(x0, x1, app(ty_[], x2)) new_esEs21(Left(x0), Left(x1), ty_Int, x2) new_esEs21(Left(x0), Left(x1), app(app(ty_Either, x2), x3), x4) new_primPlusNat1(Zero, Succ(x0)) new_esEs9(x0, x1, ty_Char) new_esEs5(x0, x1, ty_Int) new_esEs22(x0, x1, ty_Integer) new_esEs6(Double(x0, x1), Double(x2, x3)) new_esEs9(x0, x1, ty_Int) new_primEqNat0(Zero, Zero) new_esEs19(:(x0, x1), :(x2, x3), x4) new_esEs10(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs21(Right(x0), Right(x1), x2, ty_Bool) new_esEs4(x0, x1, app(ty_Ratio, x2)) new_esEs5(x0, x1, ty_@0) new_esEs10(x0, x1, app(ty_Maybe, x2)) new_esEs4(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs27(x0, x1, app(ty_Ratio, x2)) new_esEs22(x0, x1, ty_Ordering) new_esEs21(Right(x0), Right(x1), x2, ty_Ordering) new_deleteBy00(x0, x1, x2, x3, x4, False, x5, x6) new_esEs16(False, False) new_esEs21(Left(x0), Left(x1), app(app(app(ty_@3, x2), x3), x4), x5) new_esEs23(x0, x1, app(ty_[], x2)) new_primPlusNat0(Succ(x0), x1) new_esEs11(Just(x0), Nothing, x1) new_esEs10(x0, x1, ty_Bool) new_primEqInt(Pos(Succ(x0)), Pos(Zero)) new_esEs4(x0, x1, app(ty_Maybe, x2)) new_esEs5(x0, x1, ty_Float) new_esEs23(x0, x1, ty_Int) new_primPlusNat1(Succ(x0), Zero) new_esEs16(False, True) new_esEs16(True, False) new_esEs21(Right(x0), Right(x1), x2, app(ty_[], x3)) new_esEs11(Just(x0), Just(x1), app(app(ty_Either, x2), x3)) new_esEs23(x0, x1, ty_Double) new_sr(Pos(x0), Pos(x1)) new_esEs14(Integer(x0), Integer(x1)) new_esEs13(:%(x0, x1), :%(x2, x3), x4) new_esEs10(x0, x1, app(ty_Ratio, x2)) new_esEs9(x0, x1, app(ty_Ratio, x2)) new_primPlusNat1(Succ(x0), Succ(x1)) new_esEs19(:(x0, x1), [], x2) new_esEs23(x0, x1, ty_Char) new_esEs23(x0, x1, ty_Bool) new_primEqInt(Pos(Succ(x0)), Pos(Succ(x1))) new_esEs21(Right(x0), Right(x1), x2, app(ty_Ratio, x3)) new_esEs5(x0, x1, app(ty_Ratio, x2)) new_esEs9(x0, x1, ty_Float) new_esEs27(x0, x1, ty_Integer) new_esEs11(Just(x0), Just(x1), app(app(app(ty_@3, x2), x3), x4)) new_esEs21(Right(x0), Right(x1), x2, app(ty_Maybe, x3)) new_esEs5(x0, x1, app(app(ty_Either, x2), x3)) new_esEs11(Just(x0), Just(x1), app(ty_[], x2)) new_primEqNat0(Succ(x0), Zero) new_asAs(False, x0) new_esEs21(Right(x0), Right(x1), x2, ty_Integer) 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_foldl(xy3, :(xy40, xy41), ba, bb) -> new_foldl(new_deleteBy1(xy40, xy3, ba, bb), xy41, ba, bb) The graph contains the following edges 2 > 2, 3 >= 3, 4 >= 4 ---------------------------------------- (17) YES ---------------------------------------- (18) Obligation: Q DP problem: The TRS P consists of the following rules: new_primMulNat(Succ(xy400100), Succ(xy300000)) -> new_primMulNat(xy400100, Succ(xy300000)) 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_primMulNat(Succ(xy400100), Succ(xy300000)) -> new_primMulNat(xy400100, Succ(xy300000)) 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_primPlusNat(Succ(xy4400), Succ(xy3000000)) -> new_primPlusNat(xy4400, xy3000000) 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_primPlusNat(Succ(xy4400), Succ(xy3000000)) -> new_primPlusNat(xy4400, xy3000000) The graph contains the following edges 1 > 1, 2 > 2 ---------------------------------------- (23) YES ---------------------------------------- (24) Obligation: Q DP problem: The TRS P consists of the following rules: new_primEqNat(Succ(xy40000), Succ(xy30000)) -> new_primEqNat(xy40000, xy30000) R is empty. Q is empty. We have to consider all minimal (P,Q,R)-chains. ---------------------------------------- (25) QDPSizeChangeProof (EQUIVALENT) By using the subterm criterion [SUBTERM_CRITERION] together with the size-change analysis [AAECC05] we have proven that there are no infinite chains for this DP problem. From the DPs we obtained the following set of size-change graphs: *new_primEqNat(Succ(xy40000), Succ(xy30000)) -> new_primEqNat(xy40000, xy30000) The graph contains the following edges 1 > 1, 2 > 2 ---------------------------------------- (26) YES