/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# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty H-Termination with start terms of the given HASKELL could be proven: (0) HASKELL (1) BR [EQUIVALENT, 0 ms] (2) HASKELL (3) COR [EQUIVALENT, 12 ms] (4) HASKELL (5) Narrow [SOUND, 0 ms] (6) AND (7) QDP (8) TransformationProof [EQUIVALENT, 0 ms] (9) QDP (10) UsableRulesProof [EQUIVALENT, 0 ms] (11) QDP (12) QReductionProof [EQUIVALENT, 0 ms] (13) QDP (14) QDPSizeChangeProof [EQUIVALENT, 0 ms] (15) YES (16) QDP (17) QDPSizeChangeProof [EQUIVALENT, 45 ms] (18) YES (19) QDP (20) TransformationProof [EQUIVALENT, 0 ms] (21) QDP (22) UsableRulesProof [EQUIVALENT, 0 ms] (23) QDP (24) QReductionProof [EQUIVALENT, 0 ms] (25) QDP (26) QDPSizeChangeProof [EQUIVALENT, 0 ms] (27) YES (28) QDP (29) QDPSizeChangeProof [EQUIVALENT, 0 ms] (30) YES (31) QDP (32) QDPSizeChangeProof [EQUIVALENT, 0 ms] (33) YES (34) QDP (35) QDPSizeChangeProof [EQUIVALENT, 0 ms] (36) YES (37) QDP (38) QDPSizeChangeProof [EQUIVALENT, 0 ms] (39) 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; isPrefixOf :: Eq a => [a] -> [a] -> Bool; isPrefixOf [] _ = True; isPrefixOf _ [] = False; isPrefixOf (x : xs) (y : ys) = x == y && isPrefixOf xs ys; isSuffixOf :: Eq a => [a] -> [a] -> Bool; isSuffixOf x y = reverse x `isPrefixOf` reverse y; } module Main where { import qualified List; import qualified Maybe; import qualified Prelude; } ---------------------------------------- (1) BR (EQUIVALENT) Replaced joker patterns by fresh variables and removed binding patterns. ---------------------------------------- (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; isPrefixOf :: Eq a => [a] -> [a] -> Bool; isPrefixOf [] xw = True; isPrefixOf xx [] = False; isPrefixOf (x : xs) (y : ys) = x == y && isPrefixOf xs ys; isSuffixOf :: Eq a => [a] -> [a] -> Bool; isSuffixOf x y = reverse x `isPrefixOf` reverse y; } module Main where { import qualified List; import qualified Maybe; import qualified Prelude; } ---------------------------------------- (3) COR (EQUIVALENT) Cond Reductions: The following Function with conditions "undefined |Falseundefined; " is transformed to "undefined = undefined1; " "undefined0 True = undefined; " "undefined1 = undefined0 False; " ---------------------------------------- (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; isPrefixOf :: Eq a => [a] -> [a] -> Bool; isPrefixOf [] xw = True; isPrefixOf xx [] = False; isPrefixOf (x : xs) (y : ys) = x == y && isPrefixOf xs ys; isSuffixOf :: Eq a => [a] -> [a] -> Bool; isSuffixOf x y = reverse x `isPrefixOf` reverse y; } module Main where { import qualified List; import qualified Maybe; import qualified Prelude; } ---------------------------------------- (5) Narrow (SOUND) Haskell To QDPs digraph dp_graph { node [outthreshold=100, inthreshold=100];1[label="List.isSuffixOf",fontsize=16,color="grey",shape="box"];1 -> 3[label="",style="dashed", color="grey", weight=3]; 3[label="List.isSuffixOf xy3",fontsize=16,color="grey",shape="box"];3 -> 4[label="",style="dashed", color="grey", weight=3]; 4[label="List.isSuffixOf xy3 xy4",fontsize=16,color="black",shape="triangle"];4 -> 5[label="",style="solid", color="black", weight=3]; 5[label="List.isPrefixOf (reverse xy3) (reverse xy4)",fontsize=16,color="black",shape="box"];5 -> 6[label="",style="solid", color="black", weight=3]; 6[label="List.isPrefixOf (foldl (flip (:)) [] xy3) (reverse xy4)",fontsize=16,color="burlywood",shape="box"];1294[label="xy3/xy30 : xy31",fontsize=10,color="white",style="solid",shape="box"];6 -> 1294[label="",style="solid", color="burlywood", weight=9]; 1294 -> 7[label="",style="solid", color="burlywood", weight=3]; 1295[label="xy3/[]",fontsize=10,color="white",style="solid",shape="box"];6 -> 1295[label="",style="solid", color="burlywood", weight=9]; 1295 -> 8[label="",style="solid", color="burlywood", weight=3]; 7[label="List.isPrefixOf (foldl (flip (:)) [] (xy30 : xy31)) (reverse xy4)",fontsize=16,color="black",shape="box"];7 -> 9[label="",style="solid", color="black", weight=3]; 8[label="List.isPrefixOf (foldl (flip (:)) [] []) (reverse xy4)",fontsize=16,color="black",shape="box"];8 -> 10[label="",style="solid", color="black", weight=3]; 9 -> 304[label="",style="dashed", color="red", weight=0]; 9[label="List.isPrefixOf (foldl (flip (:)) (flip (:) [] xy30) xy31) (reverse xy4)",fontsize=16,color="magenta"];9 -> 305[label="",style="dashed", color="magenta", weight=3]; 9 -> 306[label="",style="dashed", color="magenta", weight=3]; 9 -> 307[label="",style="dashed", color="magenta", weight=3]; 9 -> 308[label="",style="dashed", color="magenta", weight=3]; 10[label="List.isPrefixOf [] (reverse xy4)",fontsize=16,color="black",shape="box"];10 -> 13[label="",style="solid", color="black", weight=3]; 305[label="xy31",fontsize=16,color="green",shape="box"];306[label="xy4",fontsize=16,color="green",shape="box"];307[label="[]",fontsize=16,color="green",shape="box"];308[label="xy30",fontsize=16,color="green",shape="box"];304[label="List.isPrefixOf (foldl (flip (:)) (flip (:) xy22 xy23) xy24) (reverse xy25)",fontsize=16,color="burlywood",shape="triangle"];1296[label="xy24/xy240 : xy241",fontsize=10,color="white",style="solid",shape="box"];304 -> 1296[label="",style="solid", color="burlywood", weight=9]; 1296 -> 341[label="",style="solid", color="burlywood", weight=3]; 1297[label="xy24/[]",fontsize=10,color="white",style="solid",shape="box"];304 -> 1297[label="",style="solid", color="burlywood", weight=9]; 1297 -> 342[label="",style="solid", color="burlywood", weight=3]; 13[label="True",fontsize=16,color="green",shape="box"];341[label="List.isPrefixOf (foldl (flip (:)) (flip (:) xy22 xy23) (xy240 : xy241)) (reverse xy25)",fontsize=16,color="black",shape="box"];341 -> 343[label="",style="solid", color="black", weight=3]; 342[label="List.isPrefixOf (foldl (flip (:)) (flip (:) xy22 xy23) []) (reverse xy25)",fontsize=16,color="black",shape="box"];342 -> 344[label="",style="solid", color="black", weight=3]; 343 -> 304[label="",style="dashed", color="red", weight=0]; 343[label="List.isPrefixOf (foldl (flip (:)) (flip (:) (flip (:) xy22 xy23) xy240) xy241) (reverse xy25)",fontsize=16,color="magenta"];343 -> 345[label="",style="dashed", color="magenta", weight=3]; 343 -> 346[label="",style="dashed", color="magenta", weight=3]; 343 -> 347[label="",style="dashed", color="magenta", weight=3]; 344[label="List.isPrefixOf (flip (:) xy22 xy23) (reverse xy25)",fontsize=16,color="black",shape="box"];344 -> 348[label="",style="solid", color="black", weight=3]; 345[label="xy241",fontsize=16,color="green",shape="box"];346[label="flip (:) xy22 xy23",fontsize=16,color="black",shape="triangle"];346 -> 349[label="",style="solid", color="black", weight=3]; 347[label="xy240",fontsize=16,color="green",shape="box"];348[label="List.isPrefixOf ((:) xy23 xy22) (reverse xy25)",fontsize=16,color="black",shape="box"];348 -> 350[label="",style="solid", color="black", weight=3]; 349[label="(:) xy23 xy22",fontsize=16,color="green",shape="box"];350 -> 355[label="",style="dashed", color="red", weight=0]; 350[label="List.isPrefixOf ((:) xy23 xy22) (foldl (flip (:)) [] xy25)",fontsize=16,color="magenta"];350 -> 356[label="",style="dashed", color="magenta", weight=3]; 350 -> 357[label="",style="dashed", color="magenta", weight=3]; 356[label="xy25",fontsize=16,color="green",shape="box"];357[label="[]",fontsize=16,color="green",shape="box"];355[label="List.isPrefixOf ((:) xy23 xy22) (foldl (flip (:)) xy26 xy251)",fontsize=16,color="burlywood",shape="triangle"];1298[label="xy251/xy2510 : xy2511",fontsize=10,color="white",style="solid",shape="box"];355 -> 1298[label="",style="solid", color="burlywood", weight=9]; 1298 -> 359[label="",style="solid", color="burlywood", weight=3]; 1299[label="xy251/[]",fontsize=10,color="white",style="solid",shape="box"];355 -> 1299[label="",style="solid", color="burlywood", weight=9]; 1299 -> 360[label="",style="solid", color="burlywood", weight=3]; 359[label="List.isPrefixOf ((:) xy23 xy22) (foldl (flip (:)) xy26 (xy2510 : xy2511))",fontsize=16,color="black",shape="box"];359 -> 361[label="",style="solid", color="black", weight=3]; 360[label="List.isPrefixOf ((:) xy23 xy22) (foldl (flip (:)) xy26 [])",fontsize=16,color="black",shape="box"];360 -> 362[label="",style="solid", color="black", weight=3]; 361 -> 355[label="",style="dashed", color="red", weight=0]; 361[label="List.isPrefixOf ((:) xy23 xy22) (foldl (flip (:)) (flip (:) xy26 xy2510) xy2511)",fontsize=16,color="magenta"];361 -> 363[label="",style="dashed", color="magenta", weight=3]; 361 -> 364[label="",style="dashed", color="magenta", weight=3]; 362[label="List.isPrefixOf ((:) xy23 xy22) xy26",fontsize=16,color="burlywood",shape="box"];1300[label="xy26/xy260 : xy261",fontsize=10,color="white",style="solid",shape="box"];362 -> 1300[label="",style="solid", color="burlywood", weight=9]; 1300 -> 365[label="",style="solid", color="burlywood", weight=3]; 1301[label="xy26/[]",fontsize=10,color="white",style="solid",shape="box"];362 -> 1301[label="",style="solid", color="burlywood", weight=9]; 1301 -> 366[label="",style="solid", color="burlywood", weight=3]; 363[label="xy2511",fontsize=16,color="green",shape="box"];364 -> 346[label="",style="dashed", color="red", weight=0]; 364[label="flip (:) xy26 xy2510",fontsize=16,color="magenta"];364 -> 367[label="",style="dashed", color="magenta", weight=3]; 364 -> 368[label="",style="dashed", color="magenta", weight=3]; 365[label="List.isPrefixOf ((:) xy23 xy22) (xy260 : xy261)",fontsize=16,color="black",shape="box"];365 -> 369[label="",style="solid", color="black", weight=3]; 366[label="List.isPrefixOf ((:) xy23 xy22) []",fontsize=16,color="black",shape="box"];366 -> 370[label="",style="solid", color="black", weight=3]; 367[label="xy26",fontsize=16,color="green",shape="box"];368[label="xy2510",fontsize=16,color="green",shape="box"];369 -> 595[label="",style="dashed", color="red", weight=0]; 369[label="xy23 == xy260 && List.isPrefixOf xy22 xy261",fontsize=16,color="magenta"];369 -> 596[label="",style="dashed", color="magenta", weight=3]; 369 -> 597[label="",style="dashed", color="magenta", weight=3]; 370[label="False",fontsize=16,color="green",shape="box"];596[label="xy23 == xy260",fontsize=16,color="blue",shape="box"];1302[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];596 -> 1302[label="",style="solid", color="blue", weight=9]; 1302 -> 613[label="",style="solid", color="blue", weight=3]; 1303[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];596 -> 1303[label="",style="solid", color="blue", weight=9]; 1303 -> 614[label="",style="solid", color="blue", weight=3]; 1304[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];596 -> 1304[label="",style="solid", color="blue", weight=9]; 1304 -> 615[label="",style="solid", color="blue", weight=3]; 1305[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];596 -> 1305[label="",style="solid", color="blue", weight=9]; 1305 -> 616[label="",style="solid", color="blue", weight=3]; 1306[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];596 -> 1306[label="",style="solid", color="blue", weight=9]; 1306 -> 617[label="",style="solid", color="blue", weight=3]; 1307[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];596 -> 1307[label="",style="solid", color="blue", weight=9]; 1307 -> 618[label="",style="solid", color="blue", weight=3]; 1308[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];596 -> 1308[label="",style="solid", color="blue", weight=9]; 1308 -> 619[label="",style="solid", color="blue", weight=3]; 1309[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];596 -> 1309[label="",style="solid", color="blue", weight=9]; 1309 -> 620[label="",style="solid", color="blue", weight=3]; 1310[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];596 -> 1310[label="",style="solid", color="blue", weight=9]; 1310 -> 621[label="",style="solid", color="blue", weight=3]; 1311[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];596 -> 1311[label="",style="solid", color="blue", weight=9]; 1311 -> 622[label="",style="solid", color="blue", weight=3]; 1312[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];596 -> 1312[label="",style="solid", color="blue", weight=9]; 1312 -> 623[label="",style="solid", color="blue", weight=3]; 1313[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];596 -> 1313[label="",style="solid", color="blue", weight=9]; 1313 -> 624[label="",style="solid", color="blue", weight=3]; 1314[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];596 -> 1314[label="",style="solid", color="blue", weight=9]; 1314 -> 625[label="",style="solid", color="blue", weight=3]; 1315[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];596 -> 1315[label="",style="solid", color="blue", weight=9]; 1315 -> 626[label="",style="solid", color="blue", weight=3]; 597[label="List.isPrefixOf xy22 xy261",fontsize=16,color="burlywood",shape="triangle"];1316[label="xy22/xy220 : xy221",fontsize=10,color="white",style="solid",shape="box"];597 -> 1316[label="",style="solid", color="burlywood", weight=9]; 1316 -> 627[label="",style="solid", color="burlywood", weight=3]; 1317[label="xy22/[]",fontsize=10,color="white",style="solid",shape="box"];597 -> 1317[label="",style="solid", color="burlywood", weight=9]; 1317 -> 628[label="",style="solid", color="burlywood", weight=3]; 595[label="xy40 && xy52",fontsize=16,color="burlywood",shape="triangle"];1318[label="xy40/False",fontsize=10,color="white",style="solid",shape="box"];595 -> 1318[label="",style="solid", color="burlywood", weight=9]; 1318 -> 629[label="",style="solid", color="burlywood", weight=3]; 1319[label="xy40/True",fontsize=10,color="white",style="solid",shape="box"];595 -> 1319[label="",style="solid", color="burlywood", weight=9]; 1319 -> 630[label="",style="solid", color="burlywood", weight=3]; 613[label="xy23 == xy260",fontsize=16,color="black",shape="triangle"];613 -> 631[label="",style="solid", color="black", weight=3]; 614[label="xy23 == xy260",fontsize=16,color="black",shape="triangle"];614 -> 632[label="",style="solid", color="black", weight=3]; 615[label="xy23 == xy260",fontsize=16,color="burlywood",shape="triangle"];1320[label="xy23/LT",fontsize=10,color="white",style="solid",shape="box"];615 -> 1320[label="",style="solid", color="burlywood", weight=9]; 1320 -> 633[label="",style="solid", color="burlywood", weight=3]; 1321[label="xy23/EQ",fontsize=10,color="white",style="solid",shape="box"];615 -> 1321[label="",style="solid", color="burlywood", weight=9]; 1321 -> 634[label="",style="solid", color="burlywood", weight=3]; 1322[label="xy23/GT",fontsize=10,color="white",style="solid",shape="box"];615 -> 1322[label="",style="solid", color="burlywood", weight=9]; 1322 -> 635[label="",style="solid", color="burlywood", weight=3]; 616[label="xy23 == xy260",fontsize=16,color="black",shape="triangle"];616 -> 636[label="",style="solid", color="black", weight=3]; 617[label="xy23 == xy260",fontsize=16,color="burlywood",shape="triangle"];1323[label="xy23/(xy230,xy231,xy232)",fontsize=10,color="white",style="solid",shape="box"];617 -> 1323[label="",style="solid", color="burlywood", weight=9]; 1323 -> 637[label="",style="solid", color="burlywood", weight=3]; 618[label="xy23 == xy260",fontsize=16,color="burlywood",shape="triangle"];1324[label="xy23/(xy230,xy231)",fontsize=10,color="white",style="solid",shape="box"];618 -> 1324[label="",style="solid", color="burlywood", weight=9]; 1324 -> 638[label="",style="solid", color="burlywood", weight=3]; 619[label="xy23 == xy260",fontsize=16,color="burlywood",shape="triangle"];1325[label="xy23/()",fontsize=10,color="white",style="solid",shape="box"];619 -> 1325[label="",style="solid", color="burlywood", weight=9]; 1325 -> 639[label="",style="solid", color="burlywood", weight=3]; 620[label="xy23 == xy260",fontsize=16,color="black",shape="triangle"];620 -> 640[label="",style="solid", color="black", weight=3]; 621[label="xy23 == xy260",fontsize=16,color="burlywood",shape="triangle"];1326[label="xy23/xy230 : xy231",fontsize=10,color="white",style="solid",shape="box"];621 -> 1326[label="",style="solid", color="burlywood", weight=9]; 1326 -> 641[label="",style="solid", color="burlywood", weight=3]; 1327[label="xy23/[]",fontsize=10,color="white",style="solid",shape="box"];621 -> 1327[label="",style="solid", color="burlywood", weight=9]; 1327 -> 642[label="",style="solid", color="burlywood", weight=3]; 622[label="xy23 == xy260",fontsize=16,color="burlywood",shape="triangle"];1328[label="xy23/Nothing",fontsize=10,color="white",style="solid",shape="box"];622 -> 1328[label="",style="solid", color="burlywood", weight=9]; 1328 -> 643[label="",style="solid", color="burlywood", weight=3]; 1329[label="xy23/Just xy230",fontsize=10,color="white",style="solid",shape="box"];622 -> 1329[label="",style="solid", color="burlywood", weight=9]; 1329 -> 644[label="",style="solid", color="burlywood", weight=3]; 623[label="xy23 == xy260",fontsize=16,color="burlywood",shape="triangle"];1330[label="xy23/Left xy230",fontsize=10,color="white",style="solid",shape="box"];623 -> 1330[label="",style="solid", color="burlywood", weight=9]; 1330 -> 645[label="",style="solid", color="burlywood", weight=3]; 1331[label="xy23/Right xy230",fontsize=10,color="white",style="solid",shape="box"];623 -> 1331[label="",style="solid", color="burlywood", weight=9]; 1331 -> 646[label="",style="solid", color="burlywood", weight=3]; 624[label="xy23 == xy260",fontsize=16,color="burlywood",shape="triangle"];1332[label="xy23/Integer xy230",fontsize=10,color="white",style="solid",shape="box"];624 -> 1332[label="",style="solid", color="burlywood", weight=9]; 1332 -> 647[label="",style="solid", color="burlywood", weight=3]; 625[label="xy23 == xy260",fontsize=16,color="burlywood",shape="triangle"];1333[label="xy23/False",fontsize=10,color="white",style="solid",shape="box"];625 -> 1333[label="",style="solid", color="burlywood", weight=9]; 1333 -> 648[label="",style="solid", color="burlywood", weight=3]; 1334[label="xy23/True",fontsize=10,color="white",style="solid",shape="box"];625 -> 1334[label="",style="solid", color="burlywood", weight=9]; 1334 -> 649[label="",style="solid", color="burlywood", weight=3]; 626[label="xy23 == xy260",fontsize=16,color="burlywood",shape="triangle"];1335[label="xy23/xy230 :% xy231",fontsize=10,color="white",style="solid",shape="box"];626 -> 1335[label="",style="solid", color="burlywood", weight=9]; 1335 -> 650[label="",style="solid", color="burlywood", weight=3]; 627[label="List.isPrefixOf (xy220 : xy221) xy261",fontsize=16,color="burlywood",shape="box"];1336[label="xy261/xy2610 : xy2611",fontsize=10,color="white",style="solid",shape="box"];627 -> 1336[label="",style="solid", color="burlywood", weight=9]; 1336 -> 651[label="",style="solid", color="burlywood", weight=3]; 1337[label="xy261/[]",fontsize=10,color="white",style="solid",shape="box"];627 -> 1337[label="",style="solid", color="burlywood", weight=9]; 1337 -> 652[label="",style="solid", color="burlywood", weight=3]; 628[label="List.isPrefixOf [] xy261",fontsize=16,color="black",shape="box"];628 -> 653[label="",style="solid", color="black", weight=3]; 629[label="False && xy52",fontsize=16,color="black",shape="box"];629 -> 654[label="",style="solid", color="black", weight=3]; 630[label="True && xy52",fontsize=16,color="black",shape="box"];630 -> 655[label="",style="solid", color="black", weight=3]; 631[label="primEqInt xy23 xy260",fontsize=16,color="burlywood",shape="triangle"];1338[label="xy23/Pos xy230",fontsize=10,color="white",style="solid",shape="box"];631 -> 1338[label="",style="solid", color="burlywood", weight=9]; 1338 -> 656[label="",style="solid", color="burlywood", weight=3]; 1339[label="xy23/Neg xy230",fontsize=10,color="white",style="solid",shape="box"];631 -> 1339[label="",style="solid", color="burlywood", weight=9]; 1339 -> 657[label="",style="solid", color="burlywood", weight=3]; 632[label="primEqFloat xy23 xy260",fontsize=16,color="burlywood",shape="box"];1340[label="xy23/Float xy230 xy231",fontsize=10,color="white",style="solid",shape="box"];632 -> 1340[label="",style="solid", color="burlywood", weight=9]; 1340 -> 658[label="",style="solid", color="burlywood", weight=3]; 633[label="LT == xy260",fontsize=16,color="burlywood",shape="box"];1341[label="xy260/LT",fontsize=10,color="white",style="solid",shape="box"];633 -> 1341[label="",style="solid", color="burlywood", weight=9]; 1341 -> 659[label="",style="solid", color="burlywood", weight=3]; 1342[label="xy260/EQ",fontsize=10,color="white",style="solid",shape="box"];633 -> 1342[label="",style="solid", color="burlywood", weight=9]; 1342 -> 660[label="",style="solid", color="burlywood", weight=3]; 1343[label="xy260/GT",fontsize=10,color="white",style="solid",shape="box"];633 -> 1343[label="",style="solid", color="burlywood", weight=9]; 1343 -> 661[label="",style="solid", color="burlywood", weight=3]; 634[label="EQ == xy260",fontsize=16,color="burlywood",shape="box"];1344[label="xy260/LT",fontsize=10,color="white",style="solid",shape="box"];634 -> 1344[label="",style="solid", color="burlywood", weight=9]; 1344 -> 662[label="",style="solid", color="burlywood", weight=3]; 1345[label="xy260/EQ",fontsize=10,color="white",style="solid",shape="box"];634 -> 1345[label="",style="solid", color="burlywood", weight=9]; 1345 -> 663[label="",style="solid", color="burlywood", weight=3]; 1346[label="xy260/GT",fontsize=10,color="white",style="solid",shape="box"];634 -> 1346[label="",style="solid", color="burlywood", weight=9]; 1346 -> 664[label="",style="solid", color="burlywood", weight=3]; 635[label="GT == xy260",fontsize=16,color="burlywood",shape="box"];1347[label="xy260/LT",fontsize=10,color="white",style="solid",shape="box"];635 -> 1347[label="",style="solid", color="burlywood", weight=9]; 1347 -> 665[label="",style="solid", color="burlywood", weight=3]; 1348[label="xy260/EQ",fontsize=10,color="white",style="solid",shape="box"];635 -> 1348[label="",style="solid", color="burlywood", weight=9]; 1348 -> 666[label="",style="solid", color="burlywood", weight=3]; 1349[label="xy260/GT",fontsize=10,color="white",style="solid",shape="box"];635 -> 1349[label="",style="solid", color="burlywood", weight=9]; 1349 -> 667[label="",style="solid", color="burlywood", weight=3]; 636[label="primEqChar xy23 xy260",fontsize=16,color="burlywood",shape="box"];1350[label="xy23/Char xy230",fontsize=10,color="white",style="solid",shape="box"];636 -> 1350[label="",style="solid", color="burlywood", weight=9]; 1350 -> 668[label="",style="solid", color="burlywood", weight=3]; 637[label="(xy230,xy231,xy232) == xy260",fontsize=16,color="burlywood",shape="box"];1351[label="xy260/(xy2600,xy2601,xy2602)",fontsize=10,color="white",style="solid",shape="box"];637 -> 1351[label="",style="solid", color="burlywood", weight=9]; 1351 -> 669[label="",style="solid", color="burlywood", weight=3]; 638[label="(xy230,xy231) == xy260",fontsize=16,color="burlywood",shape="box"];1352[label="xy260/(xy2600,xy2601)",fontsize=10,color="white",style="solid",shape="box"];638 -> 1352[label="",style="solid", color="burlywood", weight=9]; 1352 -> 670[label="",style="solid", color="burlywood", weight=3]; 639[label="() == xy260",fontsize=16,color="burlywood",shape="box"];1353[label="xy260/()",fontsize=10,color="white",style="solid",shape="box"];639 -> 1353[label="",style="solid", color="burlywood", weight=9]; 1353 -> 671[label="",style="solid", color="burlywood", weight=3]; 640[label="primEqDouble xy23 xy260",fontsize=16,color="burlywood",shape="box"];1354[label="xy23/Double xy230 xy231",fontsize=10,color="white",style="solid",shape="box"];640 -> 1354[label="",style="solid", color="burlywood", weight=9]; 1354 -> 672[label="",style="solid", color="burlywood", weight=3]; 641[label="xy230 : xy231 == xy260",fontsize=16,color="burlywood",shape="box"];1355[label="xy260/xy2600 : xy2601",fontsize=10,color="white",style="solid",shape="box"];641 -> 1355[label="",style="solid", color="burlywood", weight=9]; 1355 -> 673[label="",style="solid", color="burlywood", weight=3]; 1356[label="xy260/[]",fontsize=10,color="white",style="solid",shape="box"];641 -> 1356[label="",style="solid", color="burlywood", weight=9]; 1356 -> 674[label="",style="solid", color="burlywood", weight=3]; 642[label="[] == xy260",fontsize=16,color="burlywood",shape="box"];1357[label="xy260/xy2600 : xy2601",fontsize=10,color="white",style="solid",shape="box"];642 -> 1357[label="",style="solid", color="burlywood", weight=9]; 1357 -> 675[label="",style="solid", color="burlywood", weight=3]; 1358[label="xy260/[]",fontsize=10,color="white",style="solid",shape="box"];642 -> 1358[label="",style="solid", color="burlywood", weight=9]; 1358 -> 676[label="",style="solid", color="burlywood", weight=3]; 643[label="Nothing == xy260",fontsize=16,color="burlywood",shape="box"];1359[label="xy260/Nothing",fontsize=10,color="white",style="solid",shape="box"];643 -> 1359[label="",style="solid", color="burlywood", weight=9]; 1359 -> 677[label="",style="solid", color="burlywood", weight=3]; 1360[label="xy260/Just xy2600",fontsize=10,color="white",style="solid",shape="box"];643 -> 1360[label="",style="solid", color="burlywood", weight=9]; 1360 -> 678[label="",style="solid", color="burlywood", weight=3]; 644[label="Just xy230 == xy260",fontsize=16,color="burlywood",shape="box"];1361[label="xy260/Nothing",fontsize=10,color="white",style="solid",shape="box"];644 -> 1361[label="",style="solid", color="burlywood", weight=9]; 1361 -> 679[label="",style="solid", color="burlywood", weight=3]; 1362[label="xy260/Just xy2600",fontsize=10,color="white",style="solid",shape="box"];644 -> 1362[label="",style="solid", color="burlywood", weight=9]; 1362 -> 680[label="",style="solid", color="burlywood", weight=3]; 645[label="Left xy230 == xy260",fontsize=16,color="burlywood",shape="box"];1363[label="xy260/Left xy2600",fontsize=10,color="white",style="solid",shape="box"];645 -> 1363[label="",style="solid", color="burlywood", weight=9]; 1363 -> 681[label="",style="solid", color="burlywood", weight=3]; 1364[label="xy260/Right xy2600",fontsize=10,color="white",style="solid",shape="box"];645 -> 1364[label="",style="solid", color="burlywood", weight=9]; 1364 -> 682[label="",style="solid", color="burlywood", weight=3]; 646[label="Right xy230 == xy260",fontsize=16,color="burlywood",shape="box"];1365[label="xy260/Left xy2600",fontsize=10,color="white",style="solid",shape="box"];646 -> 1365[label="",style="solid", color="burlywood", weight=9]; 1365 -> 683[label="",style="solid", color="burlywood", weight=3]; 1366[label="xy260/Right xy2600",fontsize=10,color="white",style="solid",shape="box"];646 -> 1366[label="",style="solid", color="burlywood", weight=9]; 1366 -> 684[label="",style="solid", color="burlywood", weight=3]; 647[label="Integer xy230 == xy260",fontsize=16,color="burlywood",shape="box"];1367[label="xy260/Integer xy2600",fontsize=10,color="white",style="solid",shape="box"];647 -> 1367[label="",style="solid", color="burlywood", weight=9]; 1367 -> 685[label="",style="solid", color="burlywood", weight=3]; 648[label="False == xy260",fontsize=16,color="burlywood",shape="box"];1368[label="xy260/False",fontsize=10,color="white",style="solid",shape="box"];648 -> 1368[label="",style="solid", color="burlywood", weight=9]; 1368 -> 686[label="",style="solid", color="burlywood", weight=3]; 1369[label="xy260/True",fontsize=10,color="white",style="solid",shape="box"];648 -> 1369[label="",style="solid", color="burlywood", weight=9]; 1369 -> 687[label="",style="solid", color="burlywood", weight=3]; 649[label="True == xy260",fontsize=16,color="burlywood",shape="box"];1370[label="xy260/False",fontsize=10,color="white",style="solid",shape="box"];649 -> 1370[label="",style="solid", color="burlywood", weight=9]; 1370 -> 688[label="",style="solid", color="burlywood", weight=3]; 1371[label="xy260/True",fontsize=10,color="white",style="solid",shape="box"];649 -> 1371[label="",style="solid", color="burlywood", weight=9]; 1371 -> 689[label="",style="solid", color="burlywood", weight=3]; 650[label="xy230 :% xy231 == xy260",fontsize=16,color="burlywood",shape="box"];1372[label="xy260/xy2600 :% xy2601",fontsize=10,color="white",style="solid",shape="box"];650 -> 1372[label="",style="solid", color="burlywood", weight=9]; 1372 -> 690[label="",style="solid", color="burlywood", weight=3]; 651[label="List.isPrefixOf (xy220 : xy221) (xy2610 : xy2611)",fontsize=16,color="black",shape="box"];651 -> 691[label="",style="solid", color="black", weight=3]; 652[label="List.isPrefixOf (xy220 : xy221) []",fontsize=16,color="black",shape="box"];652 -> 692[label="",style="solid", color="black", weight=3]; 653[label="True",fontsize=16,color="green",shape="box"];654[label="False",fontsize=16,color="green",shape="box"];655[label="xy52",fontsize=16,color="green",shape="box"];656[label="primEqInt (Pos xy230) xy260",fontsize=16,color="burlywood",shape="box"];1373[label="xy230/Succ xy2300",fontsize=10,color="white",style="solid",shape="box"];656 -> 1373[label="",style="solid", color="burlywood", weight=9]; 1373 -> 693[label="",style="solid", color="burlywood", weight=3]; 1374[label="xy230/Zero",fontsize=10,color="white",style="solid",shape="box"];656 -> 1374[label="",style="solid", color="burlywood", weight=9]; 1374 -> 694[label="",style="solid", color="burlywood", weight=3]; 657[label="primEqInt (Neg xy230) xy260",fontsize=16,color="burlywood",shape="box"];1375[label="xy230/Succ xy2300",fontsize=10,color="white",style="solid",shape="box"];657 -> 1375[label="",style="solid", color="burlywood", weight=9]; 1375 -> 695[label="",style="solid", color="burlywood", weight=3]; 1376[label="xy230/Zero",fontsize=10,color="white",style="solid",shape="box"];657 -> 1376[label="",style="solid", color="burlywood", weight=9]; 1376 -> 696[label="",style="solid", color="burlywood", weight=3]; 658[label="primEqFloat (Float xy230 xy231) xy260",fontsize=16,color="burlywood",shape="box"];1377[label="xy260/Float xy2600 xy2601",fontsize=10,color="white",style="solid",shape="box"];658 -> 1377[label="",style="solid", color="burlywood", weight=9]; 1377 -> 697[label="",style="solid", color="burlywood", weight=3]; 659[label="LT == LT",fontsize=16,color="black",shape="box"];659 -> 698[label="",style="solid", color="black", weight=3]; 660[label="LT == EQ",fontsize=16,color="black",shape="box"];660 -> 699[label="",style="solid", color="black", weight=3]; 661[label="LT == GT",fontsize=16,color="black",shape="box"];661 -> 700[label="",style="solid", color="black", weight=3]; 662[label="EQ == LT",fontsize=16,color="black",shape="box"];662 -> 701[label="",style="solid", color="black", weight=3]; 663[label="EQ == EQ",fontsize=16,color="black",shape="box"];663 -> 702[label="",style="solid", color="black", weight=3]; 664[label="EQ == GT",fontsize=16,color="black",shape="box"];664 -> 703[label="",style="solid", color="black", weight=3]; 665[label="GT == LT",fontsize=16,color="black",shape="box"];665 -> 704[label="",style="solid", color="black", weight=3]; 666[label="GT == EQ",fontsize=16,color="black",shape="box"];666 -> 705[label="",style="solid", color="black", weight=3]; 667[label="GT == GT",fontsize=16,color="black",shape="box"];667 -> 706[label="",style="solid", color="black", weight=3]; 668[label="primEqChar (Char xy230) xy260",fontsize=16,color="burlywood",shape="box"];1378[label="xy260/Char xy2600",fontsize=10,color="white",style="solid",shape="box"];668 -> 1378[label="",style="solid", color="burlywood", weight=9]; 1378 -> 707[label="",style="solid", color="burlywood", weight=3]; 669[label="(xy230,xy231,xy232) == (xy2600,xy2601,xy2602)",fontsize=16,color="black",shape="box"];669 -> 708[label="",style="solid", color="black", weight=3]; 670[label="(xy230,xy231) == (xy2600,xy2601)",fontsize=16,color="black",shape="box"];670 -> 709[label="",style="solid", color="black", weight=3]; 671[label="() == ()",fontsize=16,color="black",shape="box"];671 -> 710[label="",style="solid", color="black", weight=3]; 672[label="primEqDouble (Double xy230 xy231) xy260",fontsize=16,color="burlywood",shape="box"];1379[label="xy260/Double xy2600 xy2601",fontsize=10,color="white",style="solid",shape="box"];672 -> 1379[label="",style="solid", color="burlywood", weight=9]; 1379 -> 711[label="",style="solid", color="burlywood", weight=3]; 673[label="xy230 : xy231 == xy2600 : xy2601",fontsize=16,color="black",shape="box"];673 -> 712[label="",style="solid", color="black", weight=3]; 674[label="xy230 : xy231 == []",fontsize=16,color="black",shape="box"];674 -> 713[label="",style="solid", color="black", weight=3]; 675[label="[] == xy2600 : xy2601",fontsize=16,color="black",shape="box"];675 -> 714[label="",style="solid", color="black", weight=3]; 676[label="[] == []",fontsize=16,color="black",shape="box"];676 -> 715[label="",style="solid", color="black", weight=3]; 677[label="Nothing == Nothing",fontsize=16,color="black",shape="box"];677 -> 716[label="",style="solid", color="black", weight=3]; 678[label="Nothing == Just xy2600",fontsize=16,color="black",shape="box"];678 -> 717[label="",style="solid", color="black", weight=3]; 679[label="Just xy230 == Nothing",fontsize=16,color="black",shape="box"];679 -> 718[label="",style="solid", color="black", weight=3]; 680[label="Just xy230 == Just xy2600",fontsize=16,color="black",shape="box"];680 -> 719[label="",style="solid", color="black", weight=3]; 681[label="Left xy230 == Left xy2600",fontsize=16,color="black",shape="box"];681 -> 720[label="",style="solid", color="black", weight=3]; 682[label="Left xy230 == Right xy2600",fontsize=16,color="black",shape="box"];682 -> 721[label="",style="solid", color="black", weight=3]; 683[label="Right xy230 == Left xy2600",fontsize=16,color="black",shape="box"];683 -> 722[label="",style="solid", color="black", weight=3]; 684[label="Right xy230 == Right xy2600",fontsize=16,color="black",shape="box"];684 -> 723[label="",style="solid", color="black", weight=3]; 685[label="Integer xy230 == Integer xy2600",fontsize=16,color="black",shape="box"];685 -> 724[label="",style="solid", color="black", weight=3]; 686[label="False == False",fontsize=16,color="black",shape="box"];686 -> 725[label="",style="solid", color="black", weight=3]; 687[label="False == True",fontsize=16,color="black",shape="box"];687 -> 726[label="",style="solid", color="black", weight=3]; 688[label="True == False",fontsize=16,color="black",shape="box"];688 -> 727[label="",style="solid", color="black", weight=3]; 689[label="True == True",fontsize=16,color="black",shape="box"];689 -> 728[label="",style="solid", color="black", weight=3]; 690[label="xy230 :% xy231 == xy2600 :% xy2601",fontsize=16,color="black",shape="box"];690 -> 729[label="",style="solid", color="black", weight=3]; 691 -> 595[label="",style="dashed", color="red", weight=0]; 691[label="xy220 == xy2610 && List.isPrefixOf xy221 xy2611",fontsize=16,color="magenta"];691 -> 730[label="",style="dashed", color="magenta", weight=3]; 691 -> 731[label="",style="dashed", color="magenta", weight=3]; 692[label="False",fontsize=16,color="green",shape="box"];693[label="primEqInt (Pos (Succ xy2300)) xy260",fontsize=16,color="burlywood",shape="box"];1380[label="xy260/Pos xy2600",fontsize=10,color="white",style="solid",shape="box"];693 -> 1380[label="",style="solid", color="burlywood", weight=9]; 1380 -> 732[label="",style="solid", color="burlywood", weight=3]; 1381[label="xy260/Neg xy2600",fontsize=10,color="white",style="solid",shape="box"];693 -> 1381[label="",style="solid", color="burlywood", weight=9]; 1381 -> 733[label="",style="solid", color="burlywood", weight=3]; 694[label="primEqInt (Pos Zero) xy260",fontsize=16,color="burlywood",shape="box"];1382[label="xy260/Pos xy2600",fontsize=10,color="white",style="solid",shape="box"];694 -> 1382[label="",style="solid", color="burlywood", weight=9]; 1382 -> 734[label="",style="solid", color="burlywood", weight=3]; 1383[label="xy260/Neg xy2600",fontsize=10,color="white",style="solid",shape="box"];694 -> 1383[label="",style="solid", color="burlywood", weight=9]; 1383 -> 735[label="",style="solid", color="burlywood", weight=3]; 695[label="primEqInt (Neg (Succ xy2300)) xy260",fontsize=16,color="burlywood",shape="box"];1384[label="xy260/Pos xy2600",fontsize=10,color="white",style="solid",shape="box"];695 -> 1384[label="",style="solid", color="burlywood", weight=9]; 1384 -> 736[label="",style="solid", color="burlywood", weight=3]; 1385[label="xy260/Neg xy2600",fontsize=10,color="white",style="solid",shape="box"];695 -> 1385[label="",style="solid", color="burlywood", weight=9]; 1385 -> 737[label="",style="solid", color="burlywood", weight=3]; 696[label="primEqInt (Neg Zero) xy260",fontsize=16,color="burlywood",shape="box"];1386[label="xy260/Pos xy2600",fontsize=10,color="white",style="solid",shape="box"];696 -> 1386[label="",style="solid", color="burlywood", weight=9]; 1386 -> 738[label="",style="solid", color="burlywood", weight=3]; 1387[label="xy260/Neg xy2600",fontsize=10,color="white",style="solid",shape="box"];696 -> 1387[label="",style="solid", color="burlywood", weight=9]; 1387 -> 739[label="",style="solid", color="burlywood", weight=3]; 697[label="primEqFloat (Float xy230 xy231) (Float xy2600 xy2601)",fontsize=16,color="black",shape="box"];697 -> 740[label="",style="solid", color="black", weight=3]; 698[label="True",fontsize=16,color="green",shape="box"];699[label="False",fontsize=16,color="green",shape="box"];700[label="False",fontsize=16,color="green",shape="box"];701[label="False",fontsize=16,color="green",shape="box"];702[label="True",fontsize=16,color="green",shape="box"];703[label="False",fontsize=16,color="green",shape="box"];704[label="False",fontsize=16,color="green",shape="box"];705[label="False",fontsize=16,color="green",shape="box"];706[label="True",fontsize=16,color="green",shape="box"];707[label="primEqChar (Char xy230) (Char xy2600)",fontsize=16,color="black",shape="box"];707 -> 741[label="",style="solid", color="black", weight=3]; 708 -> 595[label="",style="dashed", color="red", weight=0]; 708[label="xy230 == xy2600 && xy231 == xy2601 && xy232 == xy2602",fontsize=16,color="magenta"];708 -> 742[label="",style="dashed", color="magenta", weight=3]; 708 -> 743[label="",style="dashed", color="magenta", weight=3]; 709 -> 595[label="",style="dashed", color="red", weight=0]; 709[label="xy230 == xy2600 && xy231 == xy2601",fontsize=16,color="magenta"];709 -> 744[label="",style="dashed", color="magenta", weight=3]; 709 -> 745[label="",style="dashed", color="magenta", weight=3]; 710[label="True",fontsize=16,color="green",shape="box"];711[label="primEqDouble (Double xy230 xy231) (Double xy2600 xy2601)",fontsize=16,color="black",shape="box"];711 -> 746[label="",style="solid", color="black", weight=3]; 712 -> 595[label="",style="dashed", color="red", weight=0]; 712[label="xy230 == xy2600 && xy231 == xy2601",fontsize=16,color="magenta"];712 -> 747[label="",style="dashed", color="magenta", weight=3]; 712 -> 748[label="",style="dashed", color="magenta", weight=3]; 713[label="False",fontsize=16,color="green",shape="box"];714[label="False",fontsize=16,color="green",shape="box"];715[label="True",fontsize=16,color="green",shape="box"];716[label="True",fontsize=16,color="green",shape="box"];717[label="False",fontsize=16,color="green",shape="box"];718[label="False",fontsize=16,color="green",shape="box"];719[label="xy230 == xy2600",fontsize=16,color="blue",shape="box"];1388[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];719 -> 1388[label="",style="solid", color="blue", weight=9]; 1388 -> 749[label="",style="solid", color="blue", weight=3]; 1389[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];719 -> 1389[label="",style="solid", color="blue", weight=9]; 1389 -> 750[label="",style="solid", color="blue", weight=3]; 1390[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];719 -> 1390[label="",style="solid", color="blue", weight=9]; 1390 -> 751[label="",style="solid", color="blue", weight=3]; 1391[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];719 -> 1391[label="",style="solid", color="blue", weight=9]; 1391 -> 752[label="",style="solid", color="blue", weight=3]; 1392[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];719 -> 1392[label="",style="solid", color="blue", weight=9]; 1392 -> 753[label="",style="solid", color="blue", weight=3]; 1393[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];719 -> 1393[label="",style="solid", color="blue", weight=9]; 1393 -> 754[label="",style="solid", color="blue", weight=3]; 1394[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];719 -> 1394[label="",style="solid", color="blue", weight=9]; 1394 -> 755[label="",style="solid", color="blue", weight=3]; 1395[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];719 -> 1395[label="",style="solid", color="blue", weight=9]; 1395 -> 756[label="",style="solid", color="blue", weight=3]; 1396[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];719 -> 1396[label="",style="solid", color="blue", weight=9]; 1396 -> 757[label="",style="solid", color="blue", weight=3]; 1397[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];719 -> 1397[label="",style="solid", color="blue", weight=9]; 1397 -> 758[label="",style="solid", color="blue", weight=3]; 1398[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];719 -> 1398[label="",style="solid", color="blue", weight=9]; 1398 -> 759[label="",style="solid", color="blue", weight=3]; 1399[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];719 -> 1399[label="",style="solid", color="blue", weight=9]; 1399 -> 760[label="",style="solid", color="blue", weight=3]; 1400[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];719 -> 1400[label="",style="solid", color="blue", weight=9]; 1400 -> 761[label="",style="solid", color="blue", weight=3]; 1401[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];719 -> 1401[label="",style="solid", color="blue", weight=9]; 1401 -> 762[label="",style="solid", color="blue", weight=3]; 720[label="xy230 == xy2600",fontsize=16,color="blue",shape="box"];1402[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];720 -> 1402[label="",style="solid", color="blue", weight=9]; 1402 -> 763[label="",style="solid", color="blue", weight=3]; 1403[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];720 -> 1403[label="",style="solid", color="blue", weight=9]; 1403 -> 764[label="",style="solid", color="blue", weight=3]; 1404[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];720 -> 1404[label="",style="solid", color="blue", weight=9]; 1404 -> 765[label="",style="solid", color="blue", weight=3]; 1405[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];720 -> 1405[label="",style="solid", color="blue", weight=9]; 1405 -> 766[label="",style="solid", color="blue", weight=3]; 1406[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];720 -> 1406[label="",style="solid", color="blue", weight=9]; 1406 -> 767[label="",style="solid", color="blue", weight=3]; 1407[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];720 -> 1407[label="",style="solid", color="blue", weight=9]; 1407 -> 768[label="",style="solid", color="blue", weight=3]; 1408[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];720 -> 1408[label="",style="solid", color="blue", weight=9]; 1408 -> 769[label="",style="solid", color="blue", weight=3]; 1409[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];720 -> 1409[label="",style="solid", color="blue", weight=9]; 1409 -> 770[label="",style="solid", color="blue", weight=3]; 1410[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];720 -> 1410[label="",style="solid", color="blue", weight=9]; 1410 -> 771[label="",style="solid", color="blue", weight=3]; 1411[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];720 -> 1411[label="",style="solid", color="blue", weight=9]; 1411 -> 772[label="",style="solid", color="blue", weight=3]; 1412[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];720 -> 1412[label="",style="solid", color="blue", weight=9]; 1412 -> 773[label="",style="solid", color="blue", weight=3]; 1413[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];720 -> 1413[label="",style="solid", color="blue", weight=9]; 1413 -> 774[label="",style="solid", color="blue", weight=3]; 1414[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];720 -> 1414[label="",style="solid", color="blue", weight=9]; 1414 -> 775[label="",style="solid", color="blue", weight=3]; 1415[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];720 -> 1415[label="",style="solid", color="blue", weight=9]; 1415 -> 776[label="",style="solid", color="blue", weight=3]; 721[label="False",fontsize=16,color="green",shape="box"];722[label="False",fontsize=16,color="green",shape="box"];723[label="xy230 == xy2600",fontsize=16,color="blue",shape="box"];1416[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];723 -> 1416[label="",style="solid", color="blue", weight=9]; 1416 -> 777[label="",style="solid", color="blue", weight=3]; 1417[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];723 -> 1417[label="",style="solid", color="blue", weight=9]; 1417 -> 778[label="",style="solid", color="blue", weight=3]; 1418[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];723 -> 1418[label="",style="solid", color="blue", weight=9]; 1418 -> 779[label="",style="solid", color="blue", weight=3]; 1419[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];723 -> 1419[label="",style="solid", color="blue", weight=9]; 1419 -> 780[label="",style="solid", color="blue", weight=3]; 1420[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];723 -> 1420[label="",style="solid", color="blue", weight=9]; 1420 -> 781[label="",style="solid", color="blue", weight=3]; 1421[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];723 -> 1421[label="",style="solid", color="blue", weight=9]; 1421 -> 782[label="",style="solid", color="blue", weight=3]; 1422[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];723 -> 1422[label="",style="solid", color="blue", weight=9]; 1422 -> 783[label="",style="solid", color="blue", weight=3]; 1423[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];723 -> 1423[label="",style="solid", color="blue", weight=9]; 1423 -> 784[label="",style="solid", color="blue", weight=3]; 1424[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];723 -> 1424[label="",style="solid", color="blue", weight=9]; 1424 -> 785[label="",style="solid", color="blue", weight=3]; 1425[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];723 -> 1425[label="",style="solid", color="blue", weight=9]; 1425 -> 786[label="",style="solid", color="blue", weight=3]; 1426[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];723 -> 1426[label="",style="solid", color="blue", weight=9]; 1426 -> 787[label="",style="solid", color="blue", weight=3]; 1427[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];723 -> 1427[label="",style="solid", color="blue", weight=9]; 1427 -> 788[label="",style="solid", color="blue", weight=3]; 1428[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];723 -> 1428[label="",style="solid", color="blue", weight=9]; 1428 -> 789[label="",style="solid", color="blue", weight=3]; 1429[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];723 -> 1429[label="",style="solid", color="blue", weight=9]; 1429 -> 790[label="",style="solid", color="blue", weight=3]; 724 -> 631[label="",style="dashed", color="red", weight=0]; 724[label="primEqInt xy230 xy2600",fontsize=16,color="magenta"];724 -> 791[label="",style="dashed", color="magenta", weight=3]; 724 -> 792[label="",style="dashed", color="magenta", weight=3]; 725[label="True",fontsize=16,color="green",shape="box"];726[label="False",fontsize=16,color="green",shape="box"];727[label="False",fontsize=16,color="green",shape="box"];728[label="True",fontsize=16,color="green",shape="box"];729 -> 595[label="",style="dashed", color="red", weight=0]; 729[label="xy230 == xy2600 && xy231 == xy2601",fontsize=16,color="magenta"];729 -> 793[label="",style="dashed", color="magenta", weight=3]; 729 -> 794[label="",style="dashed", color="magenta", weight=3]; 730[label="xy220 == xy2610",fontsize=16,color="blue",shape="box"];1430[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];730 -> 1430[label="",style="solid", color="blue", weight=9]; 1430 -> 795[label="",style="solid", color="blue", weight=3]; 1431[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];730 -> 1431[label="",style="solid", color="blue", weight=9]; 1431 -> 796[label="",style="solid", color="blue", weight=3]; 1432[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];730 -> 1432[label="",style="solid", color="blue", weight=9]; 1432 -> 797[label="",style="solid", color="blue", weight=3]; 1433[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];730 -> 1433[label="",style="solid", color="blue", weight=9]; 1433 -> 798[label="",style="solid", color="blue", weight=3]; 1434[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];730 -> 1434[label="",style="solid", color="blue", weight=9]; 1434 -> 799[label="",style="solid", color="blue", weight=3]; 1435[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];730 -> 1435[label="",style="solid", color="blue", weight=9]; 1435 -> 800[label="",style="solid", color="blue", weight=3]; 1436[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];730 -> 1436[label="",style="solid", color="blue", weight=9]; 1436 -> 801[label="",style="solid", color="blue", weight=3]; 1437[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];730 -> 1437[label="",style="solid", color="blue", weight=9]; 1437 -> 802[label="",style="solid", color="blue", weight=3]; 1438[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];730 -> 1438[label="",style="solid", color="blue", weight=9]; 1438 -> 803[label="",style="solid", color="blue", weight=3]; 1439[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];730 -> 1439[label="",style="solid", color="blue", weight=9]; 1439 -> 804[label="",style="solid", color="blue", weight=3]; 1440[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];730 -> 1440[label="",style="solid", color="blue", weight=9]; 1440 -> 805[label="",style="solid", color="blue", weight=3]; 1441[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];730 -> 1441[label="",style="solid", color="blue", weight=9]; 1441 -> 806[label="",style="solid", color="blue", weight=3]; 1442[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];730 -> 1442[label="",style="solid", color="blue", weight=9]; 1442 -> 807[label="",style="solid", color="blue", weight=3]; 1443[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];730 -> 1443[label="",style="solid", color="blue", weight=9]; 1443 -> 808[label="",style="solid", color="blue", weight=3]; 731 -> 597[label="",style="dashed", color="red", weight=0]; 731[label="List.isPrefixOf xy221 xy2611",fontsize=16,color="magenta"];731 -> 809[label="",style="dashed", color="magenta", weight=3]; 731 -> 810[label="",style="dashed", color="magenta", weight=3]; 732[label="primEqInt (Pos (Succ xy2300)) (Pos xy2600)",fontsize=16,color="burlywood",shape="box"];1444[label="xy2600/Succ xy26000",fontsize=10,color="white",style="solid",shape="box"];732 -> 1444[label="",style="solid", color="burlywood", weight=9]; 1444 -> 811[label="",style="solid", color="burlywood", weight=3]; 1445[label="xy2600/Zero",fontsize=10,color="white",style="solid",shape="box"];732 -> 1445[label="",style="solid", color="burlywood", weight=9]; 1445 -> 812[label="",style="solid", color="burlywood", weight=3]; 733[label="primEqInt (Pos (Succ xy2300)) (Neg xy2600)",fontsize=16,color="black",shape="box"];733 -> 813[label="",style="solid", color="black", weight=3]; 734[label="primEqInt (Pos Zero) (Pos xy2600)",fontsize=16,color="burlywood",shape="box"];1446[label="xy2600/Succ xy26000",fontsize=10,color="white",style="solid",shape="box"];734 -> 1446[label="",style="solid", color="burlywood", weight=9]; 1446 -> 814[label="",style="solid", color="burlywood", weight=3]; 1447[label="xy2600/Zero",fontsize=10,color="white",style="solid",shape="box"];734 -> 1447[label="",style="solid", color="burlywood", weight=9]; 1447 -> 815[label="",style="solid", color="burlywood", weight=3]; 735[label="primEqInt (Pos Zero) (Neg xy2600)",fontsize=16,color="burlywood",shape="box"];1448[label="xy2600/Succ xy26000",fontsize=10,color="white",style="solid",shape="box"];735 -> 1448[label="",style="solid", color="burlywood", weight=9]; 1448 -> 816[label="",style="solid", color="burlywood", weight=3]; 1449[label="xy2600/Zero",fontsize=10,color="white",style="solid",shape="box"];735 -> 1449[label="",style="solid", color="burlywood", weight=9]; 1449 -> 817[label="",style="solid", color="burlywood", weight=3]; 736[label="primEqInt (Neg (Succ xy2300)) (Pos xy2600)",fontsize=16,color="black",shape="box"];736 -> 818[label="",style="solid", color="black", weight=3]; 737[label="primEqInt (Neg (Succ xy2300)) (Neg xy2600)",fontsize=16,color="burlywood",shape="box"];1450[label="xy2600/Succ xy26000",fontsize=10,color="white",style="solid",shape="box"];737 -> 1450[label="",style="solid", color="burlywood", weight=9]; 1450 -> 819[label="",style="solid", color="burlywood", weight=3]; 1451[label="xy2600/Zero",fontsize=10,color="white",style="solid",shape="box"];737 -> 1451[label="",style="solid", color="burlywood", weight=9]; 1451 -> 820[label="",style="solid", color="burlywood", weight=3]; 738[label="primEqInt (Neg Zero) (Pos xy2600)",fontsize=16,color="burlywood",shape="box"];1452[label="xy2600/Succ xy26000",fontsize=10,color="white",style="solid",shape="box"];738 -> 1452[label="",style="solid", color="burlywood", weight=9]; 1452 -> 821[label="",style="solid", color="burlywood", weight=3]; 1453[label="xy2600/Zero",fontsize=10,color="white",style="solid",shape="box"];738 -> 1453[label="",style="solid", color="burlywood", weight=9]; 1453 -> 822[label="",style="solid", color="burlywood", weight=3]; 739[label="primEqInt (Neg Zero) (Neg xy2600)",fontsize=16,color="burlywood",shape="box"];1454[label="xy2600/Succ xy26000",fontsize=10,color="white",style="solid",shape="box"];739 -> 1454[label="",style="solid", color="burlywood", weight=9]; 1454 -> 823[label="",style="solid", color="burlywood", weight=3]; 1455[label="xy2600/Zero",fontsize=10,color="white",style="solid",shape="box"];739 -> 1455[label="",style="solid", color="burlywood", weight=9]; 1455 -> 824[label="",style="solid", color="burlywood", weight=3]; 740 -> 613[label="",style="dashed", color="red", weight=0]; 740[label="xy230 * xy2601 == xy231 * xy2600",fontsize=16,color="magenta"];740 -> 825[label="",style="dashed", color="magenta", weight=3]; 740 -> 826[label="",style="dashed", color="magenta", weight=3]; 741[label="primEqNat xy230 xy2600",fontsize=16,color="burlywood",shape="triangle"];1456[label="xy230/Succ xy2300",fontsize=10,color="white",style="solid",shape="box"];741 -> 1456[label="",style="solid", color="burlywood", weight=9]; 1456 -> 827[label="",style="solid", color="burlywood", weight=3]; 1457[label="xy230/Zero",fontsize=10,color="white",style="solid",shape="box"];741 -> 1457[label="",style="solid", color="burlywood", weight=9]; 1457 -> 828[label="",style="solid", color="burlywood", weight=3]; 742[label="xy230 == xy2600",fontsize=16,color="blue",shape="box"];1458[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];742 -> 1458[label="",style="solid", color="blue", weight=9]; 1458 -> 829[label="",style="solid", color="blue", weight=3]; 1459[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];742 -> 1459[label="",style="solid", color="blue", weight=9]; 1459 -> 830[label="",style="solid", color="blue", weight=3]; 1460[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];742 -> 1460[label="",style="solid", color="blue", weight=9]; 1460 -> 831[label="",style="solid", color="blue", weight=3]; 1461[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];742 -> 1461[label="",style="solid", color="blue", weight=9]; 1461 -> 832[label="",style="solid", color="blue", weight=3]; 1462[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];742 -> 1462[label="",style="solid", color="blue", weight=9]; 1462 -> 833[label="",style="solid", color="blue", weight=3]; 1463[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];742 -> 1463[label="",style="solid", color="blue", weight=9]; 1463 -> 834[label="",style="solid", color="blue", weight=3]; 1464[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];742 -> 1464[label="",style="solid", color="blue", weight=9]; 1464 -> 835[label="",style="solid", color="blue", weight=3]; 1465[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];742 -> 1465[label="",style="solid", color="blue", weight=9]; 1465 -> 836[label="",style="solid", color="blue", weight=3]; 1466[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];742 -> 1466[label="",style="solid", color="blue", weight=9]; 1466 -> 837[label="",style="solid", color="blue", weight=3]; 1467[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];742 -> 1467[label="",style="solid", color="blue", weight=9]; 1467 -> 838[label="",style="solid", color="blue", weight=3]; 1468[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];742 -> 1468[label="",style="solid", color="blue", weight=9]; 1468 -> 839[label="",style="solid", color="blue", weight=3]; 1469[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];742 -> 1469[label="",style="solid", color="blue", weight=9]; 1469 -> 840[label="",style="solid", color="blue", weight=3]; 1470[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];742 -> 1470[label="",style="solid", color="blue", weight=9]; 1470 -> 841[label="",style="solid", color="blue", weight=3]; 1471[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];742 -> 1471[label="",style="solid", color="blue", weight=9]; 1471 -> 842[label="",style="solid", color="blue", weight=3]; 743 -> 595[label="",style="dashed", color="red", weight=0]; 743[label="xy231 == xy2601 && xy232 == xy2602",fontsize=16,color="magenta"];743 -> 843[label="",style="dashed", color="magenta", weight=3]; 743 -> 844[label="",style="dashed", color="magenta", weight=3]; 744[label="xy230 == xy2600",fontsize=16,color="blue",shape="box"];1472[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];744 -> 1472[label="",style="solid", color="blue", weight=9]; 1472 -> 845[label="",style="solid", color="blue", weight=3]; 1473[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];744 -> 1473[label="",style="solid", color="blue", weight=9]; 1473 -> 846[label="",style="solid", color="blue", weight=3]; 1474[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];744 -> 1474[label="",style="solid", color="blue", weight=9]; 1474 -> 847[label="",style="solid", color="blue", weight=3]; 1475[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];744 -> 1475[label="",style="solid", color="blue", weight=9]; 1475 -> 848[label="",style="solid", color="blue", weight=3]; 1476[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];744 -> 1476[label="",style="solid", color="blue", weight=9]; 1476 -> 849[label="",style="solid", color="blue", weight=3]; 1477[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];744 -> 1477[label="",style="solid", color="blue", weight=9]; 1477 -> 850[label="",style="solid", color="blue", weight=3]; 1478[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];744 -> 1478[label="",style="solid", color="blue", weight=9]; 1478 -> 851[label="",style="solid", color="blue", weight=3]; 1479[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];744 -> 1479[label="",style="solid", color="blue", weight=9]; 1479 -> 852[label="",style="solid", color="blue", weight=3]; 1480[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];744 -> 1480[label="",style="solid", color="blue", weight=9]; 1480 -> 853[label="",style="solid", color="blue", weight=3]; 1481[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];744 -> 1481[label="",style="solid", color="blue", weight=9]; 1481 -> 854[label="",style="solid", color="blue", weight=3]; 1482[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];744 -> 1482[label="",style="solid", color="blue", weight=9]; 1482 -> 855[label="",style="solid", color="blue", weight=3]; 1483[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];744 -> 1483[label="",style="solid", color="blue", weight=9]; 1483 -> 856[label="",style="solid", color="blue", weight=3]; 1484[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];744 -> 1484[label="",style="solid", color="blue", weight=9]; 1484 -> 857[label="",style="solid", color="blue", weight=3]; 1485[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];744 -> 1485[label="",style="solid", color="blue", weight=9]; 1485 -> 858[label="",style="solid", color="blue", weight=3]; 745[label="xy231 == xy2601",fontsize=16,color="blue",shape="box"];1486[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];745 -> 1486[label="",style="solid", color="blue", weight=9]; 1486 -> 859[label="",style="solid", color="blue", weight=3]; 1487[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];745 -> 1487[label="",style="solid", color="blue", weight=9]; 1487 -> 860[label="",style="solid", color="blue", weight=3]; 1488[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];745 -> 1488[label="",style="solid", color="blue", weight=9]; 1488 -> 861[label="",style="solid", color="blue", weight=3]; 1489[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];745 -> 1489[label="",style="solid", color="blue", weight=9]; 1489 -> 862[label="",style="solid", color="blue", weight=3]; 1490[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];745 -> 1490[label="",style="solid", color="blue", weight=9]; 1490 -> 863[label="",style="solid", color="blue", weight=3]; 1491[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];745 -> 1491[label="",style="solid", color="blue", weight=9]; 1491 -> 864[label="",style="solid", color="blue", weight=3]; 1492[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];745 -> 1492[label="",style="solid", color="blue", weight=9]; 1492 -> 865[label="",style="solid", color="blue", weight=3]; 1493[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];745 -> 1493[label="",style="solid", color="blue", weight=9]; 1493 -> 866[label="",style="solid", color="blue", weight=3]; 1494[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];745 -> 1494[label="",style="solid", color="blue", weight=9]; 1494 -> 867[label="",style="solid", color="blue", weight=3]; 1495[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];745 -> 1495[label="",style="solid", color="blue", weight=9]; 1495 -> 868[label="",style="solid", color="blue", weight=3]; 1496[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];745 -> 1496[label="",style="solid", color="blue", weight=9]; 1496 -> 869[label="",style="solid", color="blue", weight=3]; 1497[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];745 -> 1497[label="",style="solid", color="blue", weight=9]; 1497 -> 870[label="",style="solid", color="blue", weight=3]; 1498[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];745 -> 1498[label="",style="solid", color="blue", weight=9]; 1498 -> 871[label="",style="solid", color="blue", weight=3]; 1499[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];745 -> 1499[label="",style="solid", color="blue", weight=9]; 1499 -> 872[label="",style="solid", color="blue", weight=3]; 746 -> 613[label="",style="dashed", color="red", weight=0]; 746[label="xy230 * xy2601 == xy231 * xy2600",fontsize=16,color="magenta"];746 -> 873[label="",style="dashed", color="magenta", weight=3]; 746 -> 874[label="",style="dashed", color="magenta", weight=3]; 747[label="xy230 == xy2600",fontsize=16,color="blue",shape="box"];1500[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];747 -> 1500[label="",style="solid", color="blue", weight=9]; 1500 -> 875[label="",style="solid", color="blue", weight=3]; 1501[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];747 -> 1501[label="",style="solid", color="blue", weight=9]; 1501 -> 876[label="",style="solid", color="blue", weight=3]; 1502[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];747 -> 1502[label="",style="solid", color="blue", weight=9]; 1502 -> 877[label="",style="solid", color="blue", weight=3]; 1503[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];747 -> 1503[label="",style="solid", color="blue", weight=9]; 1503 -> 878[label="",style="solid", color="blue", weight=3]; 1504[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];747 -> 1504[label="",style="solid", color="blue", weight=9]; 1504 -> 879[label="",style="solid", color="blue", weight=3]; 1505[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];747 -> 1505[label="",style="solid", color="blue", weight=9]; 1505 -> 880[label="",style="solid", color="blue", weight=3]; 1506[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];747 -> 1506[label="",style="solid", color="blue", weight=9]; 1506 -> 881[label="",style="solid", color="blue", weight=3]; 1507[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];747 -> 1507[label="",style="solid", color="blue", weight=9]; 1507 -> 882[label="",style="solid", color="blue", weight=3]; 1508[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];747 -> 1508[label="",style="solid", color="blue", weight=9]; 1508 -> 883[label="",style="solid", color="blue", weight=3]; 1509[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];747 -> 1509[label="",style="solid", color="blue", weight=9]; 1509 -> 884[label="",style="solid", color="blue", weight=3]; 1510[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];747 -> 1510[label="",style="solid", color="blue", weight=9]; 1510 -> 885[label="",style="solid", color="blue", weight=3]; 1511[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];747 -> 1511[label="",style="solid", color="blue", weight=9]; 1511 -> 886[label="",style="solid", color="blue", weight=3]; 1512[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];747 -> 1512[label="",style="solid", color="blue", weight=9]; 1512 -> 887[label="",style="solid", color="blue", weight=3]; 1513[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];747 -> 1513[label="",style="solid", color="blue", weight=9]; 1513 -> 888[label="",style="solid", color="blue", weight=3]; 748 -> 621[label="",style="dashed", color="red", weight=0]; 748[label="xy231 == xy2601",fontsize=16,color="magenta"];748 -> 889[label="",style="dashed", color="magenta", weight=3]; 748 -> 890[label="",style="dashed", color="magenta", weight=3]; 749 -> 613[label="",style="dashed", color="red", weight=0]; 749[label="xy230 == xy2600",fontsize=16,color="magenta"];749 -> 891[label="",style="dashed", color="magenta", weight=3]; 749 -> 892[label="",style="dashed", color="magenta", weight=3]; 750 -> 614[label="",style="dashed", color="red", weight=0]; 750[label="xy230 == xy2600",fontsize=16,color="magenta"];750 -> 893[label="",style="dashed", color="magenta", weight=3]; 750 -> 894[label="",style="dashed", color="magenta", weight=3]; 751 -> 615[label="",style="dashed", color="red", weight=0]; 751[label="xy230 == xy2600",fontsize=16,color="magenta"];751 -> 895[label="",style="dashed", color="magenta", weight=3]; 751 -> 896[label="",style="dashed", color="magenta", weight=3]; 752 -> 616[label="",style="dashed", color="red", weight=0]; 752[label="xy230 == xy2600",fontsize=16,color="magenta"];752 -> 897[label="",style="dashed", color="magenta", weight=3]; 752 -> 898[label="",style="dashed", color="magenta", weight=3]; 753 -> 617[label="",style="dashed", color="red", weight=0]; 753[label="xy230 == xy2600",fontsize=16,color="magenta"];753 -> 899[label="",style="dashed", color="magenta", weight=3]; 753 -> 900[label="",style="dashed", color="magenta", weight=3]; 754 -> 618[label="",style="dashed", color="red", weight=0]; 754[label="xy230 == xy2600",fontsize=16,color="magenta"];754 -> 901[label="",style="dashed", color="magenta", weight=3]; 754 -> 902[label="",style="dashed", color="magenta", weight=3]; 755 -> 619[label="",style="dashed", color="red", weight=0]; 755[label="xy230 == xy2600",fontsize=16,color="magenta"];755 -> 903[label="",style="dashed", color="magenta", weight=3]; 755 -> 904[label="",style="dashed", color="magenta", weight=3]; 756 -> 620[label="",style="dashed", color="red", weight=0]; 756[label="xy230 == xy2600",fontsize=16,color="magenta"];756 -> 905[label="",style="dashed", color="magenta", weight=3]; 756 -> 906[label="",style="dashed", color="magenta", weight=3]; 757 -> 621[label="",style="dashed", color="red", weight=0]; 757[label="xy230 == xy2600",fontsize=16,color="magenta"];757 -> 907[label="",style="dashed", color="magenta", weight=3]; 757 -> 908[label="",style="dashed", color="magenta", weight=3]; 758 -> 622[label="",style="dashed", color="red", weight=0]; 758[label="xy230 == xy2600",fontsize=16,color="magenta"];758 -> 909[label="",style="dashed", color="magenta", weight=3]; 758 -> 910[label="",style="dashed", color="magenta", weight=3]; 759 -> 623[label="",style="dashed", color="red", weight=0]; 759[label="xy230 == xy2600",fontsize=16,color="magenta"];759 -> 911[label="",style="dashed", color="magenta", weight=3]; 759 -> 912[label="",style="dashed", color="magenta", weight=3]; 760 -> 624[label="",style="dashed", color="red", weight=0]; 760[label="xy230 == xy2600",fontsize=16,color="magenta"];760 -> 913[label="",style="dashed", color="magenta", weight=3]; 760 -> 914[label="",style="dashed", color="magenta", weight=3]; 761 -> 625[label="",style="dashed", color="red", weight=0]; 761[label="xy230 == xy2600",fontsize=16,color="magenta"];761 -> 915[label="",style="dashed", color="magenta", weight=3]; 761 -> 916[label="",style="dashed", color="magenta", weight=3]; 762 -> 626[label="",style="dashed", color="red", weight=0]; 762[label="xy230 == xy2600",fontsize=16,color="magenta"];762 -> 917[label="",style="dashed", color="magenta", weight=3]; 762 -> 918[label="",style="dashed", color="magenta", weight=3]; 763 -> 613[label="",style="dashed", color="red", weight=0]; 763[label="xy230 == xy2600",fontsize=16,color="magenta"];763 -> 919[label="",style="dashed", color="magenta", weight=3]; 763 -> 920[label="",style="dashed", color="magenta", weight=3]; 764 -> 614[label="",style="dashed", color="red", weight=0]; 764[label="xy230 == xy2600",fontsize=16,color="magenta"];764 -> 921[label="",style="dashed", color="magenta", weight=3]; 764 -> 922[label="",style="dashed", color="magenta", weight=3]; 765 -> 615[label="",style="dashed", color="red", weight=0]; 765[label="xy230 == xy2600",fontsize=16,color="magenta"];765 -> 923[label="",style="dashed", color="magenta", weight=3]; 765 -> 924[label="",style="dashed", color="magenta", weight=3]; 766 -> 616[label="",style="dashed", color="red", weight=0]; 766[label="xy230 == xy2600",fontsize=16,color="magenta"];766 -> 925[label="",style="dashed", color="magenta", weight=3]; 766 -> 926[label="",style="dashed", color="magenta", weight=3]; 767 -> 617[label="",style="dashed", color="red", weight=0]; 767[label="xy230 == xy2600",fontsize=16,color="magenta"];767 -> 927[label="",style="dashed", color="magenta", weight=3]; 767 -> 928[label="",style="dashed", color="magenta", weight=3]; 768 -> 618[label="",style="dashed", color="red", weight=0]; 768[label="xy230 == xy2600",fontsize=16,color="magenta"];768 -> 929[label="",style="dashed", color="magenta", weight=3]; 768 -> 930[label="",style="dashed", color="magenta", weight=3]; 769 -> 619[label="",style="dashed", color="red", weight=0]; 769[label="xy230 == xy2600",fontsize=16,color="magenta"];769 -> 931[label="",style="dashed", color="magenta", weight=3]; 769 -> 932[label="",style="dashed", color="magenta", weight=3]; 770 -> 620[label="",style="dashed", color="red", weight=0]; 770[label="xy230 == xy2600",fontsize=16,color="magenta"];770 -> 933[label="",style="dashed", color="magenta", weight=3]; 770 -> 934[label="",style="dashed", color="magenta", weight=3]; 771 -> 621[label="",style="dashed", color="red", weight=0]; 771[label="xy230 == xy2600",fontsize=16,color="magenta"];771 -> 935[label="",style="dashed", color="magenta", weight=3]; 771 -> 936[label="",style="dashed", color="magenta", weight=3]; 772 -> 622[label="",style="dashed", color="red", weight=0]; 772[label="xy230 == xy2600",fontsize=16,color="magenta"];772 -> 937[label="",style="dashed", color="magenta", weight=3]; 772 -> 938[label="",style="dashed", color="magenta", weight=3]; 773 -> 623[label="",style="dashed", color="red", weight=0]; 773[label="xy230 == xy2600",fontsize=16,color="magenta"];773 -> 939[label="",style="dashed", color="magenta", weight=3]; 773 -> 940[label="",style="dashed", color="magenta", weight=3]; 774 -> 624[label="",style="dashed", color="red", weight=0]; 774[label="xy230 == xy2600",fontsize=16,color="magenta"];774 -> 941[label="",style="dashed", color="magenta", weight=3]; 774 -> 942[label="",style="dashed", color="magenta", weight=3]; 775 -> 625[label="",style="dashed", color="red", weight=0]; 775[label="xy230 == xy2600",fontsize=16,color="magenta"];775 -> 943[label="",style="dashed", color="magenta", weight=3]; 775 -> 944[label="",style="dashed", color="magenta", weight=3]; 776 -> 626[label="",style="dashed", color="red", weight=0]; 776[label="xy230 == xy2600",fontsize=16,color="magenta"];776 -> 945[label="",style="dashed", color="magenta", weight=3]; 776 -> 946[label="",style="dashed", color="magenta", weight=3]; 777 -> 613[label="",style="dashed", color="red", weight=0]; 777[label="xy230 == xy2600",fontsize=16,color="magenta"];777 -> 947[label="",style="dashed", color="magenta", weight=3]; 777 -> 948[label="",style="dashed", color="magenta", weight=3]; 778 -> 614[label="",style="dashed", color="red", weight=0]; 778[label="xy230 == xy2600",fontsize=16,color="magenta"];778 -> 949[label="",style="dashed", color="magenta", weight=3]; 778 -> 950[label="",style="dashed", color="magenta", weight=3]; 779 -> 615[label="",style="dashed", color="red", weight=0]; 779[label="xy230 == xy2600",fontsize=16,color="magenta"];779 -> 951[label="",style="dashed", color="magenta", weight=3]; 779 -> 952[label="",style="dashed", color="magenta", weight=3]; 780 -> 616[label="",style="dashed", color="red", weight=0]; 780[label="xy230 == xy2600",fontsize=16,color="magenta"];780 -> 953[label="",style="dashed", color="magenta", weight=3]; 780 -> 954[label="",style="dashed", color="magenta", weight=3]; 781 -> 617[label="",style="dashed", color="red", weight=0]; 781[label="xy230 == xy2600",fontsize=16,color="magenta"];781 -> 955[label="",style="dashed", color="magenta", weight=3]; 781 -> 956[label="",style="dashed", color="magenta", weight=3]; 782 -> 618[label="",style="dashed", color="red", weight=0]; 782[label="xy230 == xy2600",fontsize=16,color="magenta"];782 -> 957[label="",style="dashed", color="magenta", weight=3]; 782 -> 958[label="",style="dashed", color="magenta", weight=3]; 783 -> 619[label="",style="dashed", color="red", weight=0]; 783[label="xy230 == xy2600",fontsize=16,color="magenta"];783 -> 959[label="",style="dashed", color="magenta", weight=3]; 783 -> 960[label="",style="dashed", color="magenta", weight=3]; 784 -> 620[label="",style="dashed", color="red", weight=0]; 784[label="xy230 == xy2600",fontsize=16,color="magenta"];784 -> 961[label="",style="dashed", color="magenta", weight=3]; 784 -> 962[label="",style="dashed", color="magenta", weight=3]; 785 -> 621[label="",style="dashed", color="red", weight=0]; 785[label="xy230 == xy2600",fontsize=16,color="magenta"];785 -> 963[label="",style="dashed", color="magenta", weight=3]; 785 -> 964[label="",style="dashed", color="magenta", weight=3]; 786 -> 622[label="",style="dashed", color="red", weight=0]; 786[label="xy230 == xy2600",fontsize=16,color="magenta"];786 -> 965[label="",style="dashed", color="magenta", weight=3]; 786 -> 966[label="",style="dashed", color="magenta", weight=3]; 787 -> 623[label="",style="dashed", color="red", weight=0]; 787[label="xy230 == xy2600",fontsize=16,color="magenta"];787 -> 967[label="",style="dashed", color="magenta", weight=3]; 787 -> 968[label="",style="dashed", color="magenta", weight=3]; 788 -> 624[label="",style="dashed", color="red", weight=0]; 788[label="xy230 == xy2600",fontsize=16,color="magenta"];788 -> 969[label="",style="dashed", color="magenta", weight=3]; 788 -> 970[label="",style="dashed", color="magenta", weight=3]; 789 -> 625[label="",style="dashed", color="red", weight=0]; 789[label="xy230 == xy2600",fontsize=16,color="magenta"];789 -> 971[label="",style="dashed", color="magenta", weight=3]; 789 -> 972[label="",style="dashed", color="magenta", weight=3]; 790 -> 626[label="",style="dashed", color="red", weight=0]; 790[label="xy230 == xy2600",fontsize=16,color="magenta"];790 -> 973[label="",style="dashed", color="magenta", weight=3]; 790 -> 974[label="",style="dashed", color="magenta", weight=3]; 791[label="xy2600",fontsize=16,color="green",shape="box"];792[label="xy230",fontsize=16,color="green",shape="box"];793[label="xy230 == xy2600",fontsize=16,color="blue",shape="box"];1514[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];793 -> 1514[label="",style="solid", color="blue", weight=9]; 1514 -> 975[label="",style="solid", color="blue", weight=3]; 1515[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];793 -> 1515[label="",style="solid", color="blue", weight=9]; 1515 -> 976[label="",style="solid", color="blue", weight=3]; 794[label="xy231 == xy2601",fontsize=16,color="blue",shape="box"];1516[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];794 -> 1516[label="",style="solid", color="blue", weight=9]; 1516 -> 977[label="",style="solid", color="blue", weight=3]; 1517[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];794 -> 1517[label="",style="solid", color="blue", weight=9]; 1517 -> 978[label="",style="solid", color="blue", weight=3]; 795 -> 613[label="",style="dashed", color="red", weight=0]; 795[label="xy220 == xy2610",fontsize=16,color="magenta"];795 -> 979[label="",style="dashed", color="magenta", weight=3]; 795 -> 980[label="",style="dashed", color="magenta", weight=3]; 796 -> 614[label="",style="dashed", color="red", weight=0]; 796[label="xy220 == xy2610",fontsize=16,color="magenta"];796 -> 981[label="",style="dashed", color="magenta", weight=3]; 796 -> 982[label="",style="dashed", color="magenta", weight=3]; 797 -> 615[label="",style="dashed", color="red", weight=0]; 797[label="xy220 == xy2610",fontsize=16,color="magenta"];797 -> 983[label="",style="dashed", color="magenta", weight=3]; 797 -> 984[label="",style="dashed", color="magenta", weight=3]; 798 -> 616[label="",style="dashed", color="red", weight=0]; 798[label="xy220 == xy2610",fontsize=16,color="magenta"];798 -> 985[label="",style="dashed", color="magenta", weight=3]; 798 -> 986[label="",style="dashed", color="magenta", weight=3]; 799 -> 617[label="",style="dashed", color="red", weight=0]; 799[label="xy220 == xy2610",fontsize=16,color="magenta"];799 -> 987[label="",style="dashed", color="magenta", weight=3]; 799 -> 988[label="",style="dashed", color="magenta", weight=3]; 800 -> 618[label="",style="dashed", color="red", weight=0]; 800[label="xy220 == xy2610",fontsize=16,color="magenta"];800 -> 989[label="",style="dashed", color="magenta", weight=3]; 800 -> 990[label="",style="dashed", color="magenta", weight=3]; 801 -> 619[label="",style="dashed", color="red", weight=0]; 801[label="xy220 == xy2610",fontsize=16,color="magenta"];801 -> 991[label="",style="dashed", color="magenta", weight=3]; 801 -> 992[label="",style="dashed", color="magenta", weight=3]; 802 -> 620[label="",style="dashed", color="red", weight=0]; 802[label="xy220 == xy2610",fontsize=16,color="magenta"];802 -> 993[label="",style="dashed", color="magenta", weight=3]; 802 -> 994[label="",style="dashed", color="magenta", weight=3]; 803 -> 621[label="",style="dashed", color="red", weight=0]; 803[label="xy220 == xy2610",fontsize=16,color="magenta"];803 -> 995[label="",style="dashed", color="magenta", weight=3]; 803 -> 996[label="",style="dashed", color="magenta", weight=3]; 804 -> 622[label="",style="dashed", color="red", weight=0]; 804[label="xy220 == xy2610",fontsize=16,color="magenta"];804 -> 997[label="",style="dashed", color="magenta", weight=3]; 804 -> 998[label="",style="dashed", color="magenta", weight=3]; 805 -> 623[label="",style="dashed", color="red", weight=0]; 805[label="xy220 == xy2610",fontsize=16,color="magenta"];805 -> 999[label="",style="dashed", color="magenta", weight=3]; 805 -> 1000[label="",style="dashed", color="magenta", weight=3]; 806 -> 624[label="",style="dashed", color="red", weight=0]; 806[label="xy220 == xy2610",fontsize=16,color="magenta"];806 -> 1001[label="",style="dashed", color="magenta", weight=3]; 806 -> 1002[label="",style="dashed", color="magenta", weight=3]; 807 -> 625[label="",style="dashed", color="red", weight=0]; 807[label="xy220 == xy2610",fontsize=16,color="magenta"];807 -> 1003[label="",style="dashed", color="magenta", weight=3]; 807 -> 1004[label="",style="dashed", color="magenta", weight=3]; 808 -> 626[label="",style="dashed", color="red", weight=0]; 808[label="xy220 == xy2610",fontsize=16,color="magenta"];808 -> 1005[label="",style="dashed", color="magenta", weight=3]; 808 -> 1006[label="",style="dashed", color="magenta", weight=3]; 809[label="xy2611",fontsize=16,color="green",shape="box"];810[label="xy221",fontsize=16,color="green",shape="box"];811[label="primEqInt (Pos (Succ xy2300)) (Pos (Succ xy26000))",fontsize=16,color="black",shape="box"];811 -> 1007[label="",style="solid", color="black", weight=3]; 812[label="primEqInt (Pos (Succ xy2300)) (Pos Zero)",fontsize=16,color="black",shape="box"];812 -> 1008[label="",style="solid", color="black", weight=3]; 813[label="False",fontsize=16,color="green",shape="box"];814[label="primEqInt (Pos Zero) (Pos (Succ xy26000))",fontsize=16,color="black",shape="box"];814 -> 1009[label="",style="solid", color="black", weight=3]; 815[label="primEqInt (Pos Zero) (Pos Zero)",fontsize=16,color="black",shape="box"];815 -> 1010[label="",style="solid", color="black", weight=3]; 816[label="primEqInt (Pos Zero) (Neg (Succ xy26000))",fontsize=16,color="black",shape="box"];816 -> 1011[label="",style="solid", color="black", weight=3]; 817[label="primEqInt (Pos Zero) (Neg Zero)",fontsize=16,color="black",shape="box"];817 -> 1012[label="",style="solid", color="black", weight=3]; 818[label="False",fontsize=16,color="green",shape="box"];819[label="primEqInt (Neg (Succ xy2300)) (Neg (Succ xy26000))",fontsize=16,color="black",shape="box"];819 -> 1013[label="",style="solid", color="black", weight=3]; 820[label="primEqInt (Neg (Succ xy2300)) (Neg Zero)",fontsize=16,color="black",shape="box"];820 -> 1014[label="",style="solid", color="black", weight=3]; 821[label="primEqInt (Neg Zero) (Pos (Succ xy26000))",fontsize=16,color="black",shape="box"];821 -> 1015[label="",style="solid", color="black", weight=3]; 822[label="primEqInt (Neg Zero) (Pos Zero)",fontsize=16,color="black",shape="box"];822 -> 1016[label="",style="solid", color="black", weight=3]; 823[label="primEqInt (Neg Zero) (Neg (Succ xy26000))",fontsize=16,color="black",shape="box"];823 -> 1017[label="",style="solid", color="black", weight=3]; 824[label="primEqInt (Neg Zero) (Neg Zero)",fontsize=16,color="black",shape="box"];824 -> 1018[label="",style="solid", color="black", weight=3]; 825[label="xy231 * xy2600",fontsize=16,color="black",shape="triangle"];825 -> 1019[label="",style="solid", color="black", weight=3]; 826 -> 825[label="",style="dashed", color="red", weight=0]; 826[label="xy230 * xy2601",fontsize=16,color="magenta"];826 -> 1020[label="",style="dashed", color="magenta", weight=3]; 826 -> 1021[label="",style="dashed", color="magenta", weight=3]; 827[label="primEqNat (Succ xy2300) xy2600",fontsize=16,color="burlywood",shape="box"];1518[label="xy2600/Succ xy26000",fontsize=10,color="white",style="solid",shape="box"];827 -> 1518[label="",style="solid", color="burlywood", weight=9]; 1518 -> 1022[label="",style="solid", color="burlywood", weight=3]; 1519[label="xy2600/Zero",fontsize=10,color="white",style="solid",shape="box"];827 -> 1519[label="",style="solid", color="burlywood", weight=9]; 1519 -> 1023[label="",style="solid", color="burlywood", weight=3]; 828[label="primEqNat Zero xy2600",fontsize=16,color="burlywood",shape="box"];1520[label="xy2600/Succ xy26000",fontsize=10,color="white",style="solid",shape="box"];828 -> 1520[label="",style="solid", color="burlywood", weight=9]; 1520 -> 1024[label="",style="solid", color="burlywood", weight=3]; 1521[label="xy2600/Zero",fontsize=10,color="white",style="solid",shape="box"];828 -> 1521[label="",style="solid", color="burlywood", weight=9]; 1521 -> 1025[label="",style="solid", color="burlywood", weight=3]; 829 -> 613[label="",style="dashed", color="red", weight=0]; 829[label="xy230 == xy2600",fontsize=16,color="magenta"];829 -> 1026[label="",style="dashed", color="magenta", weight=3]; 829 -> 1027[label="",style="dashed", color="magenta", weight=3]; 830 -> 614[label="",style="dashed", color="red", weight=0]; 830[label="xy230 == xy2600",fontsize=16,color="magenta"];830 -> 1028[label="",style="dashed", color="magenta", weight=3]; 830 -> 1029[label="",style="dashed", color="magenta", weight=3]; 831 -> 615[label="",style="dashed", color="red", weight=0]; 831[label="xy230 == xy2600",fontsize=16,color="magenta"];831 -> 1030[label="",style="dashed", color="magenta", weight=3]; 831 -> 1031[label="",style="dashed", color="magenta", weight=3]; 832 -> 616[label="",style="dashed", color="red", weight=0]; 832[label="xy230 == xy2600",fontsize=16,color="magenta"];832 -> 1032[label="",style="dashed", color="magenta", weight=3]; 832 -> 1033[label="",style="dashed", color="magenta", weight=3]; 833 -> 617[label="",style="dashed", color="red", weight=0]; 833[label="xy230 == xy2600",fontsize=16,color="magenta"];833 -> 1034[label="",style="dashed", color="magenta", weight=3]; 833 -> 1035[label="",style="dashed", color="magenta", weight=3]; 834 -> 618[label="",style="dashed", color="red", weight=0]; 834[label="xy230 == xy2600",fontsize=16,color="magenta"];834 -> 1036[label="",style="dashed", color="magenta", weight=3]; 834 -> 1037[label="",style="dashed", color="magenta", weight=3]; 835 -> 619[label="",style="dashed", color="red", weight=0]; 835[label="xy230 == xy2600",fontsize=16,color="magenta"];835 -> 1038[label="",style="dashed", color="magenta", weight=3]; 835 -> 1039[label="",style="dashed", color="magenta", weight=3]; 836 -> 620[label="",style="dashed", color="red", weight=0]; 836[label="xy230 == xy2600",fontsize=16,color="magenta"];836 -> 1040[label="",style="dashed", color="magenta", weight=3]; 836 -> 1041[label="",style="dashed", color="magenta", weight=3]; 837 -> 621[label="",style="dashed", color="red", weight=0]; 837[label="xy230 == xy2600",fontsize=16,color="magenta"];837 -> 1042[label="",style="dashed", color="magenta", weight=3]; 837 -> 1043[label="",style="dashed", color="magenta", weight=3]; 838 -> 622[label="",style="dashed", color="red", weight=0]; 838[label="xy230 == xy2600",fontsize=16,color="magenta"];838 -> 1044[label="",style="dashed", color="magenta", weight=3]; 838 -> 1045[label="",style="dashed", color="magenta", weight=3]; 839 -> 623[label="",style="dashed", color="red", weight=0]; 839[label="xy230 == xy2600",fontsize=16,color="magenta"];839 -> 1046[label="",style="dashed", color="magenta", weight=3]; 839 -> 1047[label="",style="dashed", color="magenta", weight=3]; 840 -> 624[label="",style="dashed", color="red", weight=0]; 840[label="xy230 == xy2600",fontsize=16,color="magenta"];840 -> 1048[label="",style="dashed", color="magenta", weight=3]; 840 -> 1049[label="",style="dashed", color="magenta", weight=3]; 841 -> 625[label="",style="dashed", color="red", weight=0]; 841[label="xy230 == xy2600",fontsize=16,color="magenta"];841 -> 1050[label="",style="dashed", color="magenta", weight=3]; 841 -> 1051[label="",style="dashed", color="magenta", weight=3]; 842 -> 626[label="",style="dashed", color="red", weight=0]; 842[label="xy230 == xy2600",fontsize=16,color="magenta"];842 -> 1052[label="",style="dashed", color="magenta", weight=3]; 842 -> 1053[label="",style="dashed", color="magenta", weight=3]; 843[label="xy231 == xy2601",fontsize=16,color="blue",shape="box"];1522[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];843 -> 1522[label="",style="solid", color="blue", weight=9]; 1522 -> 1054[label="",style="solid", color="blue", weight=3]; 1523[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];843 -> 1523[label="",style="solid", color="blue", weight=9]; 1523 -> 1055[label="",style="solid", color="blue", weight=3]; 1524[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];843 -> 1524[label="",style="solid", color="blue", weight=9]; 1524 -> 1056[label="",style="solid", color="blue", weight=3]; 1525[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];843 -> 1525[label="",style="solid", color="blue", weight=9]; 1525 -> 1057[label="",style="solid", color="blue", weight=3]; 1526[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];843 -> 1526[label="",style="solid", color="blue", weight=9]; 1526 -> 1058[label="",style="solid", color="blue", weight=3]; 1527[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];843 -> 1527[label="",style="solid", color="blue", weight=9]; 1527 -> 1059[label="",style="solid", color="blue", weight=3]; 1528[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];843 -> 1528[label="",style="solid", color="blue", weight=9]; 1528 -> 1060[label="",style="solid", color="blue", weight=3]; 1529[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];843 -> 1529[label="",style="solid", color="blue", weight=9]; 1529 -> 1061[label="",style="solid", color="blue", weight=3]; 1530[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];843 -> 1530[label="",style="solid", color="blue", weight=9]; 1530 -> 1062[label="",style="solid", color="blue", weight=3]; 1531[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];843 -> 1531[label="",style="solid", color="blue", weight=9]; 1531 -> 1063[label="",style="solid", color="blue", weight=3]; 1532[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];843 -> 1532[label="",style="solid", color="blue", weight=9]; 1532 -> 1064[label="",style="solid", color="blue", weight=3]; 1533[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];843 -> 1533[label="",style="solid", color="blue", weight=9]; 1533 -> 1065[label="",style="solid", color="blue", weight=3]; 1534[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];843 -> 1534[label="",style="solid", color="blue", weight=9]; 1534 -> 1066[label="",style="solid", color="blue", weight=3]; 1535[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];843 -> 1535[label="",style="solid", color="blue", weight=9]; 1535 -> 1067[label="",style="solid", color="blue", weight=3]; 844[label="xy232 == xy2602",fontsize=16,color="blue",shape="box"];1536[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];844 -> 1536[label="",style="solid", color="blue", weight=9]; 1536 -> 1068[label="",style="solid", color="blue", weight=3]; 1537[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];844 -> 1537[label="",style="solid", color="blue", weight=9]; 1537 -> 1069[label="",style="solid", color="blue", weight=3]; 1538[label="== :: Ordering -> 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color="blue", weight=9]; 1542 -> 1074[label="",style="solid", color="blue", weight=3]; 1543[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];844 -> 1543[label="",style="solid", color="blue", weight=9]; 1543 -> 1075[label="",style="solid", color="blue", weight=3]; 1544[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];844 -> 1544[label="",style="solid", color="blue", weight=9]; 1544 -> 1076[label="",style="solid", color="blue", weight=3]; 1545[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];844 -> 1545[label="",style="solid", color="blue", weight=9]; 1545 -> 1077[label="",style="solid", color="blue", weight=3]; 1546[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];844 -> 1546[label="",style="solid", color="blue", weight=9]; 1546 -> 1078[label="",style="solid", color="blue", weight=3]; 1547[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];844 -> 1547[label="",style="solid", color="blue", weight=9]; 1547 -> 1079[label="",style="solid", color="blue", weight=3]; 1548[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];844 -> 1548[label="",style="solid", color="blue", weight=9]; 1548 -> 1080[label="",style="solid", color="blue", weight=3]; 1549[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];844 -> 1549[label="",style="solid", color="blue", weight=9]; 1549 -> 1081[label="",style="solid", color="blue", weight=3]; 845 -> 613[label="",style="dashed", color="red", weight=0]; 845[label="xy230 == xy2600",fontsize=16,color="magenta"];845 -> 1082[label="",style="dashed", color="magenta", weight=3]; 845 -> 1083[label="",style="dashed", color="magenta", weight=3]; 846 -> 614[label="",style="dashed", color="red", weight=0]; 846[label="xy230 == xy2600",fontsize=16,color="magenta"];846 -> 1084[label="",style="dashed", color="magenta", weight=3]; 846 -> 1085[label="",style="dashed", color="magenta", weight=3]; 847 -> 615[label="",style="dashed", color="red", weight=0]; 847[label="xy230 == xy2600",fontsize=16,color="magenta"];847 -> 1086[label="",style="dashed", color="magenta", weight=3]; 847 -> 1087[label="",style="dashed", color="magenta", weight=3]; 848 -> 616[label="",style="dashed", color="red", weight=0]; 848[label="xy230 == xy2600",fontsize=16,color="magenta"];848 -> 1088[label="",style="dashed", color="magenta", weight=3]; 848 -> 1089[label="",style="dashed", color="magenta", weight=3]; 849 -> 617[label="",style="dashed", color="red", weight=0]; 849[label="xy230 == xy2600",fontsize=16,color="magenta"];849 -> 1090[label="",style="dashed", color="magenta", weight=3]; 849 -> 1091[label="",style="dashed", color="magenta", weight=3]; 850 -> 618[label="",style="dashed", color="red", weight=0]; 850[label="xy230 == xy2600",fontsize=16,color="magenta"];850 -> 1092[label="",style="dashed", color="magenta", weight=3]; 850 -> 1093[label="",style="dashed", color="magenta", weight=3]; 851 -> 619[label="",style="dashed", color="red", weight=0]; 851[label="xy230 == xy2600",fontsize=16,color="magenta"];851 -> 1094[label="",style="dashed", color="magenta", weight=3]; 851 -> 1095[label="",style="dashed", color="magenta", weight=3]; 852 -> 620[label="",style="dashed", color="red", weight=0]; 852[label="xy230 == xy2600",fontsize=16,color="magenta"];852 -> 1096[label="",style="dashed", color="magenta", weight=3]; 852 -> 1097[label="",style="dashed", color="magenta", weight=3]; 853 -> 621[label="",style="dashed", color="red", weight=0]; 853[label="xy230 == xy2600",fontsize=16,color="magenta"];853 -> 1098[label="",style="dashed", color="magenta", weight=3]; 853 -> 1099[label="",style="dashed", color="magenta", weight=3]; 854 -> 622[label="",style="dashed", color="red", weight=0]; 854[label="xy230 == xy2600",fontsize=16,color="magenta"];854 -> 1100[label="",style="dashed", color="magenta", weight=3]; 854 -> 1101[label="",style="dashed", color="magenta", weight=3]; 855 -> 623[label="",style="dashed", color="red", weight=0]; 855[label="xy230 == xy2600",fontsize=16,color="magenta"];855 -> 1102[label="",style="dashed", color="magenta", weight=3]; 855 -> 1103[label="",style="dashed", color="magenta", weight=3]; 856 -> 624[label="",style="dashed", color="red", weight=0]; 856[label="xy230 == xy2600",fontsize=16,color="magenta"];856 -> 1104[label="",style="dashed", color="magenta", weight=3]; 856 -> 1105[label="",style="dashed", color="magenta", weight=3]; 857 -> 625[label="",style="dashed", color="red", weight=0]; 857[label="xy230 == xy2600",fontsize=16,color="magenta"];857 -> 1106[label="",style="dashed", color="magenta", weight=3]; 857 -> 1107[label="",style="dashed", color="magenta", weight=3]; 858 -> 626[label="",style="dashed", color="red", weight=0]; 858[label="xy230 == xy2600",fontsize=16,color="magenta"];858 -> 1108[label="",style="dashed", color="magenta", weight=3]; 858 -> 1109[label="",style="dashed", color="magenta", weight=3]; 859 -> 613[label="",style="dashed", color="red", weight=0]; 859[label="xy231 == xy2601",fontsize=16,color="magenta"];859 -> 1110[label="",style="dashed", color="magenta", weight=3]; 859 -> 1111[label="",style="dashed", color="magenta", weight=3]; 860 -> 614[label="",style="dashed", color="red", weight=0]; 860[label="xy231 == xy2601",fontsize=16,color="magenta"];860 -> 1112[label="",style="dashed", color="magenta", weight=3]; 860 -> 1113[label="",style="dashed", color="magenta", weight=3]; 861 -> 615[label="",style="dashed", color="red", weight=0]; 861[label="xy231 == xy2601",fontsize=16,color="magenta"];861 -> 1114[label="",style="dashed", color="magenta", weight=3]; 861 -> 1115[label="",style="dashed", color="magenta", weight=3]; 862 -> 616[label="",style="dashed", color="red", weight=0]; 862[label="xy231 == xy2601",fontsize=16,color="magenta"];862 -> 1116[label="",style="dashed", color="magenta", weight=3]; 862 -> 1117[label="",style="dashed", color="magenta", weight=3]; 863 -> 617[label="",style="dashed", color="red", weight=0]; 863[label="xy231 == xy2601",fontsize=16,color="magenta"];863 -> 1118[label="",style="dashed", color="magenta", weight=3]; 863 -> 1119[label="",style="dashed", color="magenta", weight=3]; 864 -> 618[label="",style="dashed", color="red", weight=0]; 864[label="xy231 == xy2601",fontsize=16,color="magenta"];864 -> 1120[label="",style="dashed", color="magenta", weight=3]; 864 -> 1121[label="",style="dashed", color="magenta", weight=3]; 865 -> 619[label="",style="dashed", color="red", weight=0]; 865[label="xy231 == xy2601",fontsize=16,color="magenta"];865 -> 1122[label="",style="dashed", color="magenta", weight=3]; 865 -> 1123[label="",style="dashed", color="magenta", weight=3]; 866 -> 620[label="",style="dashed", color="red", weight=0]; 866[label="xy231 == xy2601",fontsize=16,color="magenta"];866 -> 1124[label="",style="dashed", color="magenta", weight=3]; 866 -> 1125[label="",style="dashed", color="magenta", weight=3]; 867 -> 621[label="",style="dashed", color="red", weight=0]; 867[label="xy231 == xy2601",fontsize=16,color="magenta"];867 -> 1126[label="",style="dashed", color="magenta", weight=3]; 867 -> 1127[label="",style="dashed", color="magenta", weight=3]; 868 -> 622[label="",style="dashed", color="red", weight=0]; 868[label="xy231 == xy2601",fontsize=16,color="magenta"];868 -> 1128[label="",style="dashed", color="magenta", weight=3]; 868 -> 1129[label="",style="dashed", color="magenta", weight=3]; 869 -> 623[label="",style="dashed", color="red", weight=0]; 869[label="xy231 == xy2601",fontsize=16,color="magenta"];869 -> 1130[label="",style="dashed", color="magenta", weight=3]; 869 -> 1131[label="",style="dashed", color="magenta", weight=3]; 870 -> 624[label="",style="dashed", color="red", weight=0]; 870[label="xy231 == xy2601",fontsize=16,color="magenta"];870 -> 1132[label="",style="dashed", color="magenta", weight=3]; 870 -> 1133[label="",style="dashed", color="magenta", weight=3]; 871 -> 625[label="",style="dashed", color="red", weight=0]; 871[label="xy231 == xy2601",fontsize=16,color="magenta"];871 -> 1134[label="",style="dashed", color="magenta", weight=3]; 871 -> 1135[label="",style="dashed", color="magenta", weight=3]; 872 -> 626[label="",style="dashed", color="red", weight=0]; 872[label="xy231 == xy2601",fontsize=16,color="magenta"];872 -> 1136[label="",style="dashed", color="magenta", weight=3]; 872 -> 1137[label="",style="dashed", color="magenta", weight=3]; 873 -> 825[label="",style="dashed", color="red", weight=0]; 873[label="xy231 * xy2600",fontsize=16,color="magenta"];873 -> 1138[label="",style="dashed", color="magenta", weight=3]; 873 -> 1139[label="",style="dashed", color="magenta", weight=3]; 874 -> 825[label="",style="dashed", color="red", weight=0]; 874[label="xy230 * xy2601",fontsize=16,color="magenta"];874 -> 1140[label="",style="dashed", color="magenta", weight=3]; 874 -> 1141[label="",style="dashed", color="magenta", weight=3]; 875 -> 613[label="",style="dashed", color="red", weight=0]; 875[label="xy230 == xy2600",fontsize=16,color="magenta"];875 -> 1142[label="",style="dashed", color="magenta", weight=3]; 875 -> 1143[label="",style="dashed", color="magenta", weight=3]; 876 -> 614[label="",style="dashed", color="red", weight=0]; 876[label="xy230 == xy2600",fontsize=16,color="magenta"];876 -> 1144[label="",style="dashed", color="magenta", weight=3]; 876 -> 1145[label="",style="dashed", color="magenta", weight=3]; 877 -> 615[label="",style="dashed", color="red", weight=0]; 877[label="xy230 == xy2600",fontsize=16,color="magenta"];877 -> 1146[label="",style="dashed", color="magenta", weight=3]; 877 -> 1147[label="",style="dashed", color="magenta", weight=3]; 878 -> 616[label="",style="dashed", color="red", weight=0]; 878[label="xy230 == xy2600",fontsize=16,color="magenta"];878 -> 1148[label="",style="dashed", color="magenta", weight=3]; 878 -> 1149[label="",style="dashed", color="magenta", weight=3]; 879 -> 617[label="",style="dashed", color="red", weight=0]; 879[label="xy230 == xy2600",fontsize=16,color="magenta"];879 -> 1150[label="",style="dashed", color="magenta", weight=3]; 879 -> 1151[label="",style="dashed", color="magenta", weight=3]; 880 -> 618[label="",style="dashed", color="red", weight=0]; 880[label="xy230 == xy2600",fontsize=16,color="magenta"];880 -> 1152[label="",style="dashed", color="magenta", weight=3]; 880 -> 1153[label="",style="dashed", color="magenta", weight=3]; 881 -> 619[label="",style="dashed", color="red", weight=0]; 881[label="xy230 == xy2600",fontsize=16,color="magenta"];881 -> 1154[label="",style="dashed", color="magenta", weight=3]; 881 -> 1155[label="",style="dashed", color="magenta", weight=3]; 882 -> 620[label="",style="dashed", color="red", weight=0]; 882[label="xy230 == xy2600",fontsize=16,color="magenta"];882 -> 1156[label="",style="dashed", color="magenta", weight=3]; 882 -> 1157[label="",style="dashed", color="magenta", weight=3]; 883 -> 621[label="",style="dashed", color="red", weight=0]; 883[label="xy230 == xy2600",fontsize=16,color="magenta"];883 -> 1158[label="",style="dashed", color="magenta", weight=3]; 883 -> 1159[label="",style="dashed", color="magenta", weight=3]; 884 -> 622[label="",style="dashed", color="red", weight=0]; 884[label="xy230 == xy2600",fontsize=16,color="magenta"];884 -> 1160[label="",style="dashed", color="magenta", weight=3]; 884 -> 1161[label="",style="dashed", color="magenta", weight=3]; 885 -> 623[label="",style="dashed", color="red", weight=0]; 885[label="xy230 == xy2600",fontsize=16,color="magenta"];885 -> 1162[label="",style="dashed", color="magenta", weight=3]; 885 -> 1163[label="",style="dashed", color="magenta", weight=3]; 886 -> 624[label="",style="dashed", color="red", weight=0]; 886[label="xy230 == xy2600",fontsize=16,color="magenta"];886 -> 1164[label="",style="dashed", color="magenta", weight=3]; 886 -> 1165[label="",style="dashed", color="magenta", weight=3]; 887 -> 625[label="",style="dashed", color="red", weight=0]; 887[label="xy230 == xy2600",fontsize=16,color="magenta"];887 -> 1166[label="",style="dashed", color="magenta", weight=3]; 887 -> 1167[label="",style="dashed", color="magenta", weight=3]; 888 -> 626[label="",style="dashed", color="red", weight=0]; 888[label="xy230 == xy2600",fontsize=16,color="magenta"];888 -> 1168[label="",style="dashed", color="magenta", weight=3]; 888 -> 1169[label="",style="dashed", color="magenta", weight=3]; 889[label="xy2601",fontsize=16,color="green",shape="box"];890[label="xy231",fontsize=16,color="green",shape="box"];891[label="xy2600",fontsize=16,color="green",shape="box"];892[label="xy230",fontsize=16,color="green",shape="box"];893[label="xy2600",fontsize=16,color="green",shape="box"];894[label="xy230",fontsize=16,color="green",shape="box"];895[label="xy2600",fontsize=16,color="green",shape="box"];896[label="xy230",fontsize=16,color="green",shape="box"];897[label="xy2600",fontsize=16,color="green",shape="box"];898[label="xy230",fontsize=16,color="green",shape="box"];899[label="xy2600",fontsize=16,color="green",shape="box"];900[label="xy230",fontsize=16,color="green",shape="box"];901[label="xy2600",fontsize=16,color="green",shape="box"];902[label="xy230",fontsize=16,color="green",shape="box"];903[label="xy2600",fontsize=16,color="green",shape="box"];904[label="xy230",fontsize=16,color="green",shape="box"];905[label="xy2600",fontsize=16,color="green",shape="box"];906[label="xy230",fontsize=16,color="green",shape="box"];907[label="xy2600",fontsize=16,color="green",shape="box"];908[label="xy230",fontsize=16,color="green",shape="box"];909[label="xy2600",fontsize=16,color="green",shape="box"];910[label="xy230",fontsize=16,color="green",shape="box"];911[label="xy2600",fontsize=16,color="green",shape="box"];912[label="xy230",fontsize=16,color="green",shape="box"];913[label="xy2600",fontsize=16,color="green",shape="box"];914[label="xy230",fontsize=16,color="green",shape="box"];915[label="xy2600",fontsize=16,color="green",shape="box"];916[label="xy230",fontsize=16,color="green",shape="box"];917[label="xy2600",fontsize=16,color="green",shape="box"];918[label="xy230",fontsize=16,color="green",shape="box"];919[label="xy2600",fontsize=16,color="green",shape="box"];920[label="xy230",fontsize=16,color="green",shape="box"];921[label="xy2600",fontsize=16,color="green",shape="box"];922[label="xy230",fontsize=16,color="green",shape="box"];923[label="xy2600",fontsize=16,color="green",shape="box"];924[label="xy230",fontsize=16,color="green",shape="box"];925[label="xy2600",fontsize=16,color="green",shape="box"];926[label="xy230",fontsize=16,color="green",shape="box"];927[label="xy2600",fontsize=16,color="green",shape="box"];928[label="xy230",fontsize=16,color="green",shape="box"];929[label="xy2600",fontsize=16,color="green",shape="box"];930[label="xy230",fontsize=16,color="green",shape="box"];931[label="xy2600",fontsize=16,color="green",shape="box"];932[label="xy230",fontsize=16,color="green",shape="box"];933[label="xy2600",fontsize=16,color="green",shape="box"];934[label="xy230",fontsize=16,color="green",shape="box"];935[label="xy2600",fontsize=16,color="green",shape="box"];936[label="xy230",fontsize=16,color="green",shape="box"];937[label="xy2600",fontsize=16,color="green",shape="box"];938[label="xy230",fontsize=16,color="green",shape="box"];939[label="xy2600",fontsize=16,color="green",shape="box"];940[label="xy230",fontsize=16,color="green",shape="box"];941[label="xy2600",fontsize=16,color="green",shape="box"];942[label="xy230",fontsize=16,color="green",shape="box"];943[label="xy2600",fontsize=16,color="green",shape="box"];944[label="xy230",fontsize=16,color="green",shape="box"];945[label="xy2600",fontsize=16,color="green",shape="box"];946[label="xy230",fontsize=16,color="green",shape="box"];947[label="xy2600",fontsize=16,color="green",shape="box"];948[label="xy230",fontsize=16,color="green",shape="box"];949[label="xy2600",fontsize=16,color="green",shape="box"];950[label="xy230",fontsize=16,color="green",shape="box"];951[label="xy2600",fontsize=16,color="green",shape="box"];952[label="xy230",fontsize=16,color="green",shape="box"];953[label="xy2600",fontsize=16,color="green",shape="box"];954[label="xy230",fontsize=16,color="green",shape="box"];955[label="xy2600",fontsize=16,color="green",shape="box"];956[label="xy230",fontsize=16,color="green",shape="box"];957[label="xy2600",fontsize=16,color="green",shape="box"];958[label="xy230",fontsize=16,color="green",shape="box"];959[label="xy2600",fontsize=16,color="green",shape="box"];960[label="xy230",fontsize=16,color="green",shape="box"];961[label="xy2600",fontsize=16,color="green",shape="box"];962[label="xy230",fontsize=16,color="green",shape="box"];963[label="xy2600",fontsize=16,color="green",shape="box"];964[label="xy230",fontsize=16,color="green",shape="box"];965[label="xy2600",fontsize=16,color="green",shape="box"];966[label="xy230",fontsize=16,color="green",shape="box"];967[label="xy2600",fontsize=16,color="green",shape="box"];968[label="xy230",fontsize=16,color="green",shape="box"];969[label="xy2600",fontsize=16,color="green",shape="box"];970[label="xy230",fontsize=16,color="green",shape="box"];971[label="xy2600",fontsize=16,color="green",shape="box"];972[label="xy230",fontsize=16,color="green",shape="box"];973[label="xy2600",fontsize=16,color="green",shape="box"];974[label="xy230",fontsize=16,color="green",shape="box"];975 -> 613[label="",style="dashed", color="red", weight=0]; 975[label="xy230 == xy2600",fontsize=16,color="magenta"];975 -> 1170[label="",style="dashed", color="magenta", weight=3]; 975 -> 1171[label="",style="dashed", color="magenta", weight=3]; 976 -> 624[label="",style="dashed", color="red", weight=0]; 976[label="xy230 == xy2600",fontsize=16,color="magenta"];976 -> 1172[label="",style="dashed", color="magenta", weight=3]; 976 -> 1173[label="",style="dashed", color="magenta", weight=3]; 977 -> 613[label="",style="dashed", color="red", weight=0]; 977[label="xy231 == xy2601",fontsize=16,color="magenta"];977 -> 1174[label="",style="dashed", color="magenta", weight=3]; 977 -> 1175[label="",style="dashed", color="magenta", weight=3]; 978 -> 624[label="",style="dashed", color="red", weight=0]; 978[label="xy231 == xy2601",fontsize=16,color="magenta"];978 -> 1176[label="",style="dashed", color="magenta", weight=3]; 978 -> 1177[label="",style="dashed", color="magenta", weight=3]; 979[label="xy2610",fontsize=16,color="green",shape="box"];980[label="xy220",fontsize=16,color="green",shape="box"];981[label="xy2610",fontsize=16,color="green",shape="box"];982[label="xy220",fontsize=16,color="green",shape="box"];983[label="xy2610",fontsize=16,color="green",shape="box"];984[label="xy220",fontsize=16,color="green",shape="box"];985[label="xy2610",fontsize=16,color="green",shape="box"];986[label="xy220",fontsize=16,color="green",shape="box"];987[label="xy2610",fontsize=16,color="green",shape="box"];988[label="xy220",fontsize=16,color="green",shape="box"];989[label="xy2610",fontsize=16,color="green",shape="box"];990[label="xy220",fontsize=16,color="green",shape="box"];991[label="xy2610",fontsize=16,color="green",shape="box"];992[label="xy220",fontsize=16,color="green",shape="box"];993[label="xy2610",fontsize=16,color="green",shape="box"];994[label="xy220",fontsize=16,color="green",shape="box"];995[label="xy2610",fontsize=16,color="green",shape="box"];996[label="xy220",fontsize=16,color="green",shape="box"];997[label="xy2610",fontsize=16,color="green",shape="box"];998[label="xy220",fontsize=16,color="green",shape="box"];999[label="xy2610",fontsize=16,color="green",shape="box"];1000[label="xy220",fontsize=16,color="green",shape="box"];1001[label="xy2610",fontsize=16,color="green",shape="box"];1002[label="xy220",fontsize=16,color="green",shape="box"];1003[label="xy2610",fontsize=16,color="green",shape="box"];1004[label="xy220",fontsize=16,color="green",shape="box"];1005[label="xy2610",fontsize=16,color="green",shape="box"];1006[label="xy220",fontsize=16,color="green",shape="box"];1007 -> 741[label="",style="dashed", color="red", weight=0]; 1007[label="primEqNat xy2300 xy26000",fontsize=16,color="magenta"];1007 -> 1178[label="",style="dashed", color="magenta", weight=3]; 1007 -> 1179[label="",style="dashed", color="magenta", weight=3]; 1008[label="False",fontsize=16,color="green",shape="box"];1009[label="False",fontsize=16,color="green",shape="box"];1010[label="True",fontsize=16,color="green",shape="box"];1011[label="False",fontsize=16,color="green",shape="box"];1012[label="True",fontsize=16,color="green",shape="box"];1013 -> 741[label="",style="dashed", color="red", weight=0]; 1013[label="primEqNat xy2300 xy26000",fontsize=16,color="magenta"];1013 -> 1180[label="",style="dashed", color="magenta", weight=3]; 1013 -> 1181[label="",style="dashed", color="magenta", weight=3]; 1014[label="False",fontsize=16,color="green",shape="box"];1015[label="False",fontsize=16,color="green",shape="box"];1016[label="True",fontsize=16,color="green",shape="box"];1017[label="False",fontsize=16,color="green",shape="box"];1018[label="True",fontsize=16,color="green",shape="box"];1019[label="primMulInt xy231 xy2600",fontsize=16,color="burlywood",shape="box"];1550[label="xy231/Pos xy2310",fontsize=10,color="white",style="solid",shape="box"];1019 -> 1550[label="",style="solid", color="burlywood", weight=9]; 1550 -> 1182[label="",style="solid", color="burlywood", weight=3]; 1551[label="xy231/Neg xy2310",fontsize=10,color="white",style="solid",shape="box"];1019 -> 1551[label="",style="solid", color="burlywood", weight=9]; 1551 -> 1183[label="",style="solid", color="burlywood", weight=3]; 1020[label="xy230",fontsize=16,color="green",shape="box"];1021[label="xy2601",fontsize=16,color="green",shape="box"];1022[label="primEqNat (Succ xy2300) (Succ xy26000)",fontsize=16,color="black",shape="box"];1022 -> 1184[label="",style="solid", color="black", weight=3]; 1023[label="primEqNat (Succ xy2300) Zero",fontsize=16,color="black",shape="box"];1023 -> 1185[label="",style="solid", color="black", weight=3]; 1024[label="primEqNat Zero (Succ xy26000)",fontsize=16,color="black",shape="box"];1024 -> 1186[label="",style="solid", color="black", weight=3]; 1025[label="primEqNat Zero Zero",fontsize=16,color="black",shape="box"];1025 -> 1187[label="",style="solid", color="black", weight=3]; 1026[label="xy2600",fontsize=16,color="green",shape="box"];1027[label="xy230",fontsize=16,color="green",shape="box"];1028[label="xy2600",fontsize=16,color="green",shape="box"];1029[label="xy230",fontsize=16,color="green",shape="box"];1030[label="xy2600",fontsize=16,color="green",shape="box"];1031[label="xy230",fontsize=16,color="green",shape="box"];1032[label="xy2600",fontsize=16,color="green",shape="box"];1033[label="xy230",fontsize=16,color="green",shape="box"];1034[label="xy2600",fontsize=16,color="green",shape="box"];1035[label="xy230",fontsize=16,color="green",shape="box"];1036[label="xy2600",fontsize=16,color="green",shape="box"];1037[label="xy230",fontsize=16,color="green",shape="box"];1038[label="xy2600",fontsize=16,color="green",shape="box"];1039[label="xy230",fontsize=16,color="green",shape="box"];1040[label="xy2600",fontsize=16,color="green",shape="box"];1041[label="xy230",fontsize=16,color="green",shape="box"];1042[label="xy2600",fontsize=16,color="green",shape="box"];1043[label="xy230",fontsize=16,color="green",shape="box"];1044[label="xy2600",fontsize=16,color="green",shape="box"];1045[label="xy230",fontsize=16,color="green",shape="box"];1046[label="xy2600",fontsize=16,color="green",shape="box"];1047[label="xy230",fontsize=16,color="green",shape="box"];1048[label="xy2600",fontsize=16,color="green",shape="box"];1049[label="xy230",fontsize=16,color="green",shape="box"];1050[label="xy2600",fontsize=16,color="green",shape="box"];1051[label="xy230",fontsize=16,color="green",shape="box"];1052[label="xy2600",fontsize=16,color="green",shape="box"];1053[label="xy230",fontsize=16,color="green",shape="box"];1054 -> 613[label="",style="dashed", color="red", weight=0]; 1054[label="xy231 == xy2601",fontsize=16,color="magenta"];1054 -> 1188[label="",style="dashed", color="magenta", weight=3]; 1054 -> 1189[label="",style="dashed", color="magenta", weight=3]; 1055 -> 614[label="",style="dashed", color="red", weight=0]; 1055[label="xy231 == xy2601",fontsize=16,color="magenta"];1055 -> 1190[label="",style="dashed", color="magenta", weight=3]; 1055 -> 1191[label="",style="dashed", color="magenta", weight=3]; 1056 -> 615[label="",style="dashed", color="red", weight=0]; 1056[label="xy231 == xy2601",fontsize=16,color="magenta"];1056 -> 1192[label="",style="dashed", color="magenta", weight=3]; 1056 -> 1193[label="",style="dashed", color="magenta", weight=3]; 1057 -> 616[label="",style="dashed", color="red", weight=0]; 1057[label="xy231 == xy2601",fontsize=16,color="magenta"];1057 -> 1194[label="",style="dashed", color="magenta", weight=3]; 1057 -> 1195[label="",style="dashed", color="magenta", weight=3]; 1058 -> 617[label="",style="dashed", color="red", weight=0]; 1058[label="xy231 == xy2601",fontsize=16,color="magenta"];1058 -> 1196[label="",style="dashed", color="magenta", weight=3]; 1058 -> 1197[label="",style="dashed", color="magenta", weight=3]; 1059 -> 618[label="",style="dashed", color="red", weight=0]; 1059[label="xy231 == xy2601",fontsize=16,color="magenta"];1059 -> 1198[label="",style="dashed", color="magenta", weight=3]; 1059 -> 1199[label="",style="dashed", color="magenta", weight=3]; 1060 -> 619[label="",style="dashed", color="red", weight=0]; 1060[label="xy231 == xy2601",fontsize=16,color="magenta"];1060 -> 1200[label="",style="dashed", color="magenta", weight=3]; 1060 -> 1201[label="",style="dashed", color="magenta", weight=3]; 1061 -> 620[label="",style="dashed", color="red", weight=0]; 1061[label="xy231 == xy2601",fontsize=16,color="magenta"];1061 -> 1202[label="",style="dashed", color="magenta", weight=3]; 1061 -> 1203[label="",style="dashed", color="magenta", weight=3]; 1062 -> 621[label="",style="dashed", color="red", weight=0]; 1062[label="xy231 == xy2601",fontsize=16,color="magenta"];1062 -> 1204[label="",style="dashed", color="magenta", weight=3]; 1062 -> 1205[label="",style="dashed", color="magenta", weight=3]; 1063 -> 622[label="",style="dashed", color="red", weight=0]; 1063[label="xy231 == xy2601",fontsize=16,color="magenta"];1063 -> 1206[label="",style="dashed", color="magenta", weight=3]; 1063 -> 1207[label="",style="dashed", color="magenta", weight=3]; 1064 -> 623[label="",style="dashed", color="red", weight=0]; 1064[label="xy231 == xy2601",fontsize=16,color="magenta"];1064 -> 1208[label="",style="dashed", color="magenta", weight=3]; 1064 -> 1209[label="",style="dashed", color="magenta", weight=3]; 1065 -> 624[label="",style="dashed", color="red", weight=0]; 1065[label="xy231 == xy2601",fontsize=16,color="magenta"];1065 -> 1210[label="",style="dashed", color="magenta", weight=3]; 1065 -> 1211[label="",style="dashed", color="magenta", weight=3]; 1066 -> 625[label="",style="dashed", color="red", weight=0]; 1066[label="xy231 == xy2601",fontsize=16,color="magenta"];1066 -> 1212[label="",style="dashed", color="magenta", weight=3]; 1066 -> 1213[label="",style="dashed", color="magenta", weight=3]; 1067 -> 626[label="",style="dashed", color="red", weight=0]; 1067[label="xy231 == xy2601",fontsize=16,color="magenta"];1067 -> 1214[label="",style="dashed", color="magenta", weight=3]; 1067 -> 1215[label="",style="dashed", color="magenta", weight=3]; 1068 -> 613[label="",style="dashed", color="red", weight=0]; 1068[label="xy232 == xy2602",fontsize=16,color="magenta"];1068 -> 1216[label="",style="dashed", color="magenta", weight=3]; 1068 -> 1217[label="",style="dashed", color="magenta", weight=3]; 1069 -> 614[label="",style="dashed", color="red", weight=0]; 1069[label="xy232 == xy2602",fontsize=16,color="magenta"];1069 -> 1218[label="",style="dashed", color="magenta", weight=3]; 1069 -> 1219[label="",style="dashed", color="magenta", weight=3]; 1070 -> 615[label="",style="dashed", color="red", weight=0]; 1070[label="xy232 == xy2602",fontsize=16,color="magenta"];1070 -> 1220[label="",style="dashed", color="magenta", weight=3]; 1070 -> 1221[label="",style="dashed", color="magenta", weight=3]; 1071 -> 616[label="",style="dashed", color="red", weight=0]; 1071[label="xy232 == xy2602",fontsize=16,color="magenta"];1071 -> 1222[label="",style="dashed", color="magenta", weight=3]; 1071 -> 1223[label="",style="dashed", color="magenta", weight=3]; 1072 -> 617[label="",style="dashed", color="red", weight=0]; 1072[label="xy232 == xy2602",fontsize=16,color="magenta"];1072 -> 1224[label="",style="dashed", color="magenta", weight=3]; 1072 -> 1225[label="",style="dashed", color="magenta", weight=3]; 1073 -> 618[label="",style="dashed", color="red", weight=0]; 1073[label="xy232 == xy2602",fontsize=16,color="magenta"];1073 -> 1226[label="",style="dashed", color="magenta", weight=3]; 1073 -> 1227[label="",style="dashed", color="magenta", weight=3]; 1074 -> 619[label="",style="dashed", color="red", weight=0]; 1074[label="xy232 == xy2602",fontsize=16,color="magenta"];1074 -> 1228[label="",style="dashed", color="magenta", weight=3]; 1074 -> 1229[label="",style="dashed", color="magenta", weight=3]; 1075 -> 620[label="",style="dashed", color="red", weight=0]; 1075[label="xy232 == xy2602",fontsize=16,color="magenta"];1075 -> 1230[label="",style="dashed", color="magenta", weight=3]; 1075 -> 1231[label="",style="dashed", color="magenta", weight=3]; 1076 -> 621[label="",style="dashed", color="red", weight=0]; 1076[label="xy232 == xy2602",fontsize=16,color="magenta"];1076 -> 1232[label="",style="dashed", color="magenta", weight=3]; 1076 -> 1233[label="",style="dashed", color="magenta", weight=3]; 1077 -> 622[label="",style="dashed", color="red", weight=0]; 1077[label="xy232 == xy2602",fontsize=16,color="magenta"];1077 -> 1234[label="",style="dashed", color="magenta", weight=3]; 1077 -> 1235[label="",style="dashed", color="magenta", weight=3]; 1078 -> 623[label="",style="dashed", color="red", weight=0]; 1078[label="xy232 == xy2602",fontsize=16,color="magenta"];1078 -> 1236[label="",style="dashed", color="magenta", weight=3]; 1078 -> 1237[label="",style="dashed", color="magenta", weight=3]; 1079 -> 624[label="",style="dashed", color="red", weight=0]; 1079[label="xy232 == xy2602",fontsize=16,color="magenta"];1079 -> 1238[label="",style="dashed", color="magenta", weight=3]; 1079 -> 1239[label="",style="dashed", color="magenta", weight=3]; 1080 -> 625[label="",style="dashed", color="red", weight=0]; 1080[label="xy232 == xy2602",fontsize=16,color="magenta"];1080 -> 1240[label="",style="dashed", color="magenta", weight=3]; 1080 -> 1241[label="",style="dashed", color="magenta", weight=3]; 1081 -> 626[label="",style="dashed", color="red", weight=0]; 1081[label="xy232 == xy2602",fontsize=16,color="magenta"];1081 -> 1242[label="",style="dashed", color="magenta", weight=3]; 1081 -> 1243[label="",style="dashed", color="magenta", weight=3]; 1082[label="xy2600",fontsize=16,color="green",shape="box"];1083[label="xy230",fontsize=16,color="green",shape="box"];1084[label="xy2600",fontsize=16,color="green",shape="box"];1085[label="xy230",fontsize=16,color="green",shape="box"];1086[label="xy2600",fontsize=16,color="green",shape="box"];1087[label="xy230",fontsize=16,color="green",shape="box"];1088[label="xy2600",fontsize=16,color="green",shape="box"];1089[label="xy230",fontsize=16,color="green",shape="box"];1090[label="xy2600",fontsize=16,color="green",shape="box"];1091[label="xy230",fontsize=16,color="green",shape="box"];1092[label="xy2600",fontsize=16,color="green",shape="box"];1093[label="xy230",fontsize=16,color="green",shape="box"];1094[label="xy2600",fontsize=16,color="green",shape="box"];1095[label="xy230",fontsize=16,color="green",shape="box"];1096[label="xy2600",fontsize=16,color="green",shape="box"];1097[label="xy230",fontsize=16,color="green",shape="box"];1098[label="xy2600",fontsize=16,color="green",shape="box"];1099[label="xy230",fontsize=16,color="green",shape="box"];1100[label="xy2600",fontsize=16,color="green",shape="box"];1101[label="xy230",fontsize=16,color="green",shape="box"];1102[label="xy2600",fontsize=16,color="green",shape="box"];1103[label="xy230",fontsize=16,color="green",shape="box"];1104[label="xy2600",fontsize=16,color="green",shape="box"];1105[label="xy230",fontsize=16,color="green",shape="box"];1106[label="xy2600",fontsize=16,color="green",shape="box"];1107[label="xy230",fontsize=16,color="green",shape="box"];1108[label="xy2600",fontsize=16,color="green",shape="box"];1109[label="xy230",fontsize=16,color="green",shape="box"];1110[label="xy2601",fontsize=16,color="green",shape="box"];1111[label="xy231",fontsize=16,color="green",shape="box"];1112[label="xy2601",fontsize=16,color="green",shape="box"];1113[label="xy231",fontsize=16,color="green",shape="box"];1114[label="xy2601",fontsize=16,color="green",shape="box"];1115[label="xy231",fontsize=16,color="green",shape="box"];1116[label="xy2601",fontsize=16,color="green",shape="box"];1117[label="xy231",fontsize=16,color="green",shape="box"];1118[label="xy2601",fontsize=16,color="green",shape="box"];1119[label="xy231",fontsize=16,color="green",shape="box"];1120[label="xy2601",fontsize=16,color="green",shape="box"];1121[label="xy231",fontsize=16,color="green",shape="box"];1122[label="xy2601",fontsize=16,color="green",shape="box"];1123[label="xy231",fontsize=16,color="green",shape="box"];1124[label="xy2601",fontsize=16,color="green",shape="box"];1125[label="xy231",fontsize=16,color="green",shape="box"];1126[label="xy2601",fontsize=16,color="green",shape="box"];1127[label="xy231",fontsize=16,color="green",shape="box"];1128[label="xy2601",fontsize=16,color="green",shape="box"];1129[label="xy231",fontsize=16,color="green",shape="box"];1130[label="xy2601",fontsize=16,color="green",shape="box"];1131[label="xy231",fontsize=16,color="green",shape="box"];1132[label="xy2601",fontsize=16,color="green",shape="box"];1133[label="xy231",fontsize=16,color="green",shape="box"];1134[label="xy2601",fontsize=16,color="green",shape="box"];1135[label="xy231",fontsize=16,color="green",shape="box"];1136[label="xy2601",fontsize=16,color="green",shape="box"];1137[label="xy231",fontsize=16,color="green",shape="box"];1138[label="xy231",fontsize=16,color="green",shape="box"];1139[label="xy2600",fontsize=16,color="green",shape="box"];1140[label="xy230",fontsize=16,color="green",shape="box"];1141[label="xy2601",fontsize=16,color="green",shape="box"];1142[label="xy2600",fontsize=16,color="green",shape="box"];1143[label="xy230",fontsize=16,color="green",shape="box"];1144[label="xy2600",fontsize=16,color="green",shape="box"];1145[label="xy230",fontsize=16,color="green",shape="box"];1146[label="xy2600",fontsize=16,color="green",shape="box"];1147[label="xy230",fontsize=16,color="green",shape="box"];1148[label="xy2600",fontsize=16,color="green",shape="box"];1149[label="xy230",fontsize=16,color="green",shape="box"];1150[label="xy2600",fontsize=16,color="green",shape="box"];1151[label="xy230",fontsize=16,color="green",shape="box"];1152[label="xy2600",fontsize=16,color="green",shape="box"];1153[label="xy230",fontsize=16,color="green",shape="box"];1154[label="xy2600",fontsize=16,color="green",shape="box"];1155[label="xy230",fontsize=16,color="green",shape="box"];1156[label="xy2600",fontsize=16,color="green",shape="box"];1157[label="xy230",fontsize=16,color="green",shape="box"];1158[label="xy2600",fontsize=16,color="green",shape="box"];1159[label="xy230",fontsize=16,color="green",shape="box"];1160[label="xy2600",fontsize=16,color="green",shape="box"];1161[label="xy230",fontsize=16,color="green",shape="box"];1162[label="xy2600",fontsize=16,color="green",shape="box"];1163[label="xy230",fontsize=16,color="green",shape="box"];1164[label="xy2600",fontsize=16,color="green",shape="box"];1165[label="xy230",fontsize=16,color="green",shape="box"];1166[label="xy2600",fontsize=16,color="green",shape="box"];1167[label="xy230",fontsize=16,color="green",shape="box"];1168[label="xy2600",fontsize=16,color="green",shape="box"];1169[label="xy230",fontsize=16,color="green",shape="box"];1170[label="xy2600",fontsize=16,color="green",shape="box"];1171[label="xy230",fontsize=16,color="green",shape="box"];1172[label="xy2600",fontsize=16,color="green",shape="box"];1173[label="xy230",fontsize=16,color="green",shape="box"];1174[label="xy2601",fontsize=16,color="green",shape="box"];1175[label="xy231",fontsize=16,color="green",shape="box"];1176[label="xy2601",fontsize=16,color="green",shape="box"];1177[label="xy231",fontsize=16,color="green",shape="box"];1178[label="xy2300",fontsize=16,color="green",shape="box"];1179[label="xy26000",fontsize=16,color="green",shape="box"];1180[label="xy2300",fontsize=16,color="green",shape="box"];1181[label="xy26000",fontsize=16,color="green",shape="box"];1182[label="primMulInt (Pos xy2310) xy2600",fontsize=16,color="burlywood",shape="box"];1552[label="xy2600/Pos xy26000",fontsize=10,color="white",style="solid",shape="box"];1182 -> 1552[label="",style="solid", color="burlywood", weight=9]; 1552 -> 1244[label="",style="solid", color="burlywood", weight=3]; 1553[label="xy2600/Neg xy26000",fontsize=10,color="white",style="solid",shape="box"];1182 -> 1553[label="",style="solid", color="burlywood", weight=9]; 1553 -> 1245[label="",style="solid", color="burlywood", weight=3]; 1183[label="primMulInt (Neg xy2310) xy2600",fontsize=16,color="burlywood",shape="box"];1554[label="xy2600/Pos xy26000",fontsize=10,color="white",style="solid",shape="box"];1183 -> 1554[label="",style="solid", color="burlywood", weight=9]; 1554 -> 1246[label="",style="solid", color="burlywood", weight=3]; 1555[label="xy2600/Neg xy26000",fontsize=10,color="white",style="solid",shape="box"];1183 -> 1555[label="",style="solid", color="burlywood", weight=9]; 1555 -> 1247[label="",style="solid", color="burlywood", weight=3]; 1184 -> 741[label="",style="dashed", color="red", weight=0]; 1184[label="primEqNat xy2300 xy26000",fontsize=16,color="magenta"];1184 -> 1248[label="",style="dashed", color="magenta", weight=3]; 1184 -> 1249[label="",style="dashed", color="magenta", weight=3]; 1185[label="False",fontsize=16,color="green",shape="box"];1186[label="False",fontsize=16,color="green",shape="box"];1187[label="True",fontsize=16,color="green",shape="box"];1188[label="xy2601",fontsize=16,color="green",shape="box"];1189[label="xy231",fontsize=16,color="green",shape="box"];1190[label="xy2601",fontsize=16,color="green",shape="box"];1191[label="xy231",fontsize=16,color="green",shape="box"];1192[label="xy2601",fontsize=16,color="green",shape="box"];1193[label="xy231",fontsize=16,color="green",shape="box"];1194[label="xy2601",fontsize=16,color="green",shape="box"];1195[label="xy231",fontsize=16,color="green",shape="box"];1196[label="xy2601",fontsize=16,color="green",shape="box"];1197[label="xy231",fontsize=16,color="green",shape="box"];1198[label="xy2601",fontsize=16,color="green",shape="box"];1199[label="xy231",fontsize=16,color="green",shape="box"];1200[label="xy2601",fontsize=16,color="green",shape="box"];1201[label="xy231",fontsize=16,color="green",shape="box"];1202[label="xy2601",fontsize=16,color="green",shape="box"];1203[label="xy231",fontsize=16,color="green",shape="box"];1204[label="xy2601",fontsize=16,color="green",shape="box"];1205[label="xy231",fontsize=16,color="green",shape="box"];1206[label="xy2601",fontsize=16,color="green",shape="box"];1207[label="xy231",fontsize=16,color="green",shape="box"];1208[label="xy2601",fontsize=16,color="green",shape="box"];1209[label="xy231",fontsize=16,color="green",shape="box"];1210[label="xy2601",fontsize=16,color="green",shape="box"];1211[label="xy231",fontsize=16,color="green",shape="box"];1212[label="xy2601",fontsize=16,color="green",shape="box"];1213[label="xy231",fontsize=16,color="green",shape="box"];1214[label="xy2601",fontsize=16,color="green",shape="box"];1215[label="xy231",fontsize=16,color="green",shape="box"];1216[label="xy2602",fontsize=16,color="green",shape="box"];1217[label="xy232",fontsize=16,color="green",shape="box"];1218[label="xy2602",fontsize=16,color="green",shape="box"];1219[label="xy232",fontsize=16,color="green",shape="box"];1220[label="xy2602",fontsize=16,color="green",shape="box"];1221[label="xy232",fontsize=16,color="green",shape="box"];1222[label="xy2602",fontsize=16,color="green",shape="box"];1223[label="xy232",fontsize=16,color="green",shape="box"];1224[label="xy2602",fontsize=16,color="green",shape="box"];1225[label="xy232",fontsize=16,color="green",shape="box"];1226[label="xy2602",fontsize=16,color="green",shape="box"];1227[label="xy232",fontsize=16,color="green",shape="box"];1228[label="xy2602",fontsize=16,color="green",shape="box"];1229[label="xy232",fontsize=16,color="green",shape="box"];1230[label="xy2602",fontsize=16,color="green",shape="box"];1231[label="xy232",fontsize=16,color="green",shape="box"];1232[label="xy2602",fontsize=16,color="green",shape="box"];1233[label="xy232",fontsize=16,color="green",shape="box"];1234[label="xy2602",fontsize=16,color="green",shape="box"];1235[label="xy232",fontsize=16,color="green",shape="box"];1236[label="xy2602",fontsize=16,color="green",shape="box"];1237[label="xy232",fontsize=16,color="green",shape="box"];1238[label="xy2602",fontsize=16,color="green",shape="box"];1239[label="xy232",fontsize=16,color="green",shape="box"];1240[label="xy2602",fontsize=16,color="green",shape="box"];1241[label="xy232",fontsize=16,color="green",shape="box"];1242[label="xy2602",fontsize=16,color="green",shape="box"];1243[label="xy232",fontsize=16,color="green",shape="box"];1244[label="primMulInt (Pos xy2310) (Pos xy26000)",fontsize=16,color="black",shape="box"];1244 -> 1250[label="",style="solid", color="black", weight=3]; 1245[label="primMulInt (Pos xy2310) (Neg xy26000)",fontsize=16,color="black",shape="box"];1245 -> 1251[label="",style="solid", color="black", weight=3]; 1246[label="primMulInt (Neg xy2310) (Pos xy26000)",fontsize=16,color="black",shape="box"];1246 -> 1252[label="",style="solid", color="black", weight=3]; 1247[label="primMulInt (Neg xy2310) (Neg xy26000)",fontsize=16,color="black",shape="box"];1247 -> 1253[label="",style="solid", color="black", weight=3]; 1248[label="xy2300",fontsize=16,color="green",shape="box"];1249[label="xy26000",fontsize=16,color="green",shape="box"];1250[label="Pos (primMulNat xy2310 xy26000)",fontsize=16,color="green",shape="box"];1250 -> 1254[label="",style="dashed", color="green", weight=3]; 1251[label="Neg (primMulNat xy2310 xy26000)",fontsize=16,color="green",shape="box"];1251 -> 1255[label="",style="dashed", color="green", weight=3]; 1252[label="Neg (primMulNat xy2310 xy26000)",fontsize=16,color="green",shape="box"];1252 -> 1256[label="",style="dashed", color="green", weight=3]; 1253[label="Pos (primMulNat xy2310 xy26000)",fontsize=16,color="green",shape="box"];1253 -> 1257[label="",style="dashed", color="green", weight=3]; 1254[label="primMulNat xy2310 xy26000",fontsize=16,color="burlywood",shape="triangle"];1556[label="xy2310/Succ xy23100",fontsize=10,color="white",style="solid",shape="box"];1254 -> 1556[label="",style="solid", color="burlywood", weight=9]; 1556 -> 1258[label="",style="solid", color="burlywood", weight=3]; 1557[label="xy2310/Zero",fontsize=10,color="white",style="solid",shape="box"];1254 -> 1557[label="",style="solid", color="burlywood", weight=9]; 1557 -> 1259[label="",style="solid", color="burlywood", weight=3]; 1255 -> 1254[label="",style="dashed", color="red", weight=0]; 1255[label="primMulNat xy2310 xy26000",fontsize=16,color="magenta"];1255 -> 1260[label="",style="dashed", color="magenta", weight=3]; 1256 -> 1254[label="",style="dashed", color="red", weight=0]; 1256[label="primMulNat xy2310 xy26000",fontsize=16,color="magenta"];1256 -> 1261[label="",style="dashed", color="magenta", weight=3]; 1257 -> 1254[label="",style="dashed", color="red", weight=0]; 1257[label="primMulNat xy2310 xy26000",fontsize=16,color="magenta"];1257 -> 1262[label="",style="dashed", color="magenta", weight=3]; 1257 -> 1263[label="",style="dashed", color="magenta", weight=3]; 1258[label="primMulNat (Succ xy23100) xy26000",fontsize=16,color="burlywood",shape="box"];1558[label="xy26000/Succ xy260000",fontsize=10,color="white",style="solid",shape="box"];1258 -> 1558[label="",style="solid", color="burlywood", weight=9]; 1558 -> 1264[label="",style="solid", color="burlywood", weight=3]; 1559[label="xy26000/Zero",fontsize=10,color="white",style="solid",shape="box"];1258 -> 1559[label="",style="solid", color="burlywood", weight=9]; 1559 -> 1265[label="",style="solid", color="burlywood", weight=3]; 1259[label="primMulNat Zero xy26000",fontsize=16,color="burlywood",shape="box"];1560[label="xy26000/Succ xy260000",fontsize=10,color="white",style="solid",shape="box"];1259 -> 1560[label="",style="solid", color="burlywood", weight=9]; 1560 -> 1266[label="",style="solid", color="burlywood", weight=3]; 1561[label="xy26000/Zero",fontsize=10,color="white",style="solid",shape="box"];1259 -> 1561[label="",style="solid", color="burlywood", weight=9]; 1561 -> 1267[label="",style="solid", color="burlywood", weight=3]; 1260[label="xy26000",fontsize=16,color="green",shape="box"];1261[label="xy2310",fontsize=16,color="green",shape="box"];1262[label="xy2310",fontsize=16,color="green",shape="box"];1263[label="xy26000",fontsize=16,color="green",shape="box"];1264[label="primMulNat (Succ xy23100) (Succ xy260000)",fontsize=16,color="black",shape="box"];1264 -> 1268[label="",style="solid", color="black", weight=3]; 1265[label="primMulNat (Succ xy23100) Zero",fontsize=16,color="black",shape="box"];1265 -> 1269[label="",style="solid", color="black", weight=3]; 1266[label="primMulNat Zero (Succ xy260000)",fontsize=16,color="black",shape="box"];1266 -> 1270[label="",style="solid", color="black", weight=3]; 1267[label="primMulNat Zero Zero",fontsize=16,color="black",shape="box"];1267 -> 1271[label="",style="solid", color="black", weight=3]; 1268 -> 1272[label="",style="dashed", color="red", weight=0]; 1268[label="primPlusNat (primMulNat xy23100 (Succ xy260000)) (Succ xy260000)",fontsize=16,color="magenta"];1268 -> 1273[label="",style="dashed", color="magenta", weight=3]; 1269[label="Zero",fontsize=16,color="green",shape="box"];1270[label="Zero",fontsize=16,color="green",shape="box"];1271[label="Zero",fontsize=16,color="green",shape="box"];1273 -> 1254[label="",style="dashed", color="red", weight=0]; 1273[label="primMulNat xy23100 (Succ xy260000)",fontsize=16,color="magenta"];1273 -> 1274[label="",style="dashed", color="magenta", weight=3]; 1273 -> 1275[label="",style="dashed", color="magenta", weight=3]; 1272[label="primPlusNat xy53 (Succ xy260000)",fontsize=16,color="burlywood",shape="triangle"];1562[label="xy53/Succ xy530",fontsize=10,color="white",style="solid",shape="box"];1272 -> 1562[label="",style="solid", color="burlywood", weight=9]; 1562 -> 1276[label="",style="solid", color="burlywood", weight=3]; 1563[label="xy53/Zero",fontsize=10,color="white",style="solid",shape="box"];1272 -> 1563[label="",style="solid", color="burlywood", weight=9]; 1563 -> 1277[label="",style="solid", color="burlywood", weight=3]; 1274[label="xy23100",fontsize=16,color="green",shape="box"];1275[label="Succ xy260000",fontsize=16,color="green",shape="box"];1276[label="primPlusNat (Succ xy530) (Succ xy260000)",fontsize=16,color="black",shape="box"];1276 -> 1278[label="",style="solid", color="black", weight=3]; 1277[label="primPlusNat Zero (Succ xy260000)",fontsize=16,color="black",shape="box"];1277 -> 1279[label="",style="solid", color="black", weight=3]; 1278[label="Succ (Succ (primPlusNat xy530 xy260000))",fontsize=16,color="green",shape="box"];1278 -> 1280[label="",style="dashed", color="green", weight=3]; 1279[label="Succ xy260000",fontsize=16,color="green",shape="box"];1280[label="primPlusNat xy530 xy260000",fontsize=16,color="burlywood",shape="triangle"];1564[label="xy530/Succ xy5300",fontsize=10,color="white",style="solid",shape="box"];1280 -> 1564[label="",style="solid", color="burlywood", weight=9]; 1564 -> 1281[label="",style="solid", color="burlywood", weight=3]; 1565[label="xy530/Zero",fontsize=10,color="white",style="solid",shape="box"];1280 -> 1565[label="",style="solid", color="burlywood", weight=9]; 1565 -> 1282[label="",style="solid", color="burlywood", weight=3]; 1281[label="primPlusNat (Succ xy5300) xy260000",fontsize=16,color="burlywood",shape="box"];1566[label="xy260000/Succ xy2600000",fontsize=10,color="white",style="solid",shape="box"];1281 -> 1566[label="",style="solid", color="burlywood", weight=9]; 1566 -> 1283[label="",style="solid", color="burlywood", weight=3]; 1567[label="xy260000/Zero",fontsize=10,color="white",style="solid",shape="box"];1281 -> 1567[label="",style="solid", color="burlywood", weight=9]; 1567 -> 1284[label="",style="solid", color="burlywood", weight=3]; 1282[label="primPlusNat Zero xy260000",fontsize=16,color="burlywood",shape="box"];1568[label="xy260000/Succ xy2600000",fontsize=10,color="white",style="solid",shape="box"];1282 -> 1568[label="",style="solid", color="burlywood", weight=9]; 1568 -> 1285[label="",style="solid", color="burlywood", weight=3]; 1569[label="xy260000/Zero",fontsize=10,color="white",style="solid",shape="box"];1282 -> 1569[label="",style="solid", color="burlywood", weight=9]; 1569 -> 1286[label="",style="solid", color="burlywood", weight=3]; 1283[label="primPlusNat (Succ xy5300) (Succ xy2600000)",fontsize=16,color="black",shape="box"];1283 -> 1287[label="",style="solid", color="black", weight=3]; 1284[label="primPlusNat (Succ xy5300) Zero",fontsize=16,color="black",shape="box"];1284 -> 1288[label="",style="solid", color="black", weight=3]; 1285[label="primPlusNat Zero (Succ xy2600000)",fontsize=16,color="black",shape="box"];1285 -> 1289[label="",style="solid", color="black", weight=3]; 1286[label="primPlusNat Zero Zero",fontsize=16,color="black",shape="box"];1286 -> 1290[label="",style="solid", color="black", weight=3]; 1287[label="Succ (Succ (primPlusNat xy5300 xy2600000))",fontsize=16,color="green",shape="box"];1287 -> 1291[label="",style="dashed", color="green", weight=3]; 1288[label="Succ xy5300",fontsize=16,color="green",shape="box"];1289[label="Succ xy2600000",fontsize=16,color="green",shape="box"];1290[label="Zero",fontsize=16,color="green",shape="box"];1291 -> 1280[label="",style="dashed", color="red", weight=0]; 1291[label="primPlusNat xy5300 xy2600000",fontsize=16,color="magenta"];1291 -> 1292[label="",style="dashed", color="magenta", weight=3]; 1291 -> 1293[label="",style="dashed", color="magenta", weight=3]; 1292[label="xy5300",fontsize=16,color="green",shape="box"];1293[label="xy2600000",fontsize=16,color="green",shape="box"];} ---------------------------------------- (6) Complex Obligation (AND) ---------------------------------------- (7) Obligation: Q DP problem: The TRS P consists of the following rules: new_isPrefixOf1(xy22, xy23, :(xy240, xy241), xy25, ba) -> new_isPrefixOf1(new_flip(xy22, xy23, ba), xy240, xy241, xy25, ba) The TRS R consists of the following rules: new_flip(xy22, xy23, ba) -> :(xy23, xy22) The set Q consists of the following terms: new_flip(x0, x1, x2) We have to consider all minimal (P,Q,R)-chains. ---------------------------------------- (8) TransformationProof (EQUIVALENT) By rewriting [LPAR04] the rule new_isPrefixOf1(xy22, xy23, :(xy240, xy241), xy25, ba) -> new_isPrefixOf1(new_flip(xy22, xy23, ba), xy240, xy241, xy25, ba) at position [0] we obtained the following new rules [LPAR04]: (new_isPrefixOf1(xy22, xy23, :(xy240, xy241), xy25, ba) -> new_isPrefixOf1(:(xy23, xy22), xy240, xy241, xy25, ba),new_isPrefixOf1(xy22, xy23, :(xy240, xy241), xy25, ba) -> new_isPrefixOf1(:(xy23, xy22), xy240, xy241, xy25, ba)) ---------------------------------------- (9) Obligation: Q DP problem: The TRS P consists of the following rules: new_isPrefixOf1(xy22, xy23, :(xy240, xy241), xy25, ba) -> new_isPrefixOf1(:(xy23, xy22), xy240, xy241, xy25, ba) The TRS R consists of the following rules: new_flip(xy22, xy23, ba) -> :(xy23, xy22) The set Q consists of the following terms: new_flip(x0, x1, x2) We have to consider all minimal (P,Q,R)-chains. ---------------------------------------- (10) UsableRulesProof (EQUIVALENT) As all Q-normal forms are R-normal forms we are in the innermost case. Hence, by the usable rules processor [LPAR04] we can delete all non-usable rules [FROCOS05] from R. ---------------------------------------- (11) Obligation: Q DP problem: The TRS P consists of the following rules: new_isPrefixOf1(xy22, xy23, :(xy240, xy241), xy25, ba) -> new_isPrefixOf1(:(xy23, xy22), xy240, xy241, xy25, ba) R is empty. The set Q consists of the following terms: new_flip(x0, x1, x2) We have to consider all minimal (P,Q,R)-chains. ---------------------------------------- (12) QReductionProof (EQUIVALENT) We deleted the following terms from Q as each root-symbol of these terms does neither occur in P nor in R.[THIEMANN]. new_flip(x0, x1, x2) ---------------------------------------- (13) Obligation: Q DP problem: The TRS P consists of the following rules: new_isPrefixOf1(xy22, xy23, :(xy240, xy241), xy25, ba) -> new_isPrefixOf1(:(xy23, xy22), xy240, xy241, xy25, ba) R is empty. Q is empty. We have to consider all minimal (P,Q,R)-chains. ---------------------------------------- (14) QDPSizeChangeProof (EQUIVALENT) By using the subterm criterion [SUBTERM_CRITERION] together with the size-change analysis [AAECC05] we have proven that there are no infinite chains for this DP problem. From the DPs we obtained the following set of size-change graphs: *new_isPrefixOf1(xy22, xy23, :(xy240, xy241), xy25, ba) -> new_isPrefixOf1(:(xy23, xy22), xy240, xy241, xy25, ba) The graph contains the following edges 3 > 2, 3 > 3, 4 >= 4, 5 >= 5 ---------------------------------------- (15) YES ---------------------------------------- (16) Obligation: Q DP problem: The TRS P consists of the following rules: new_esEs2(Just(xy230), Just(xy2600), app(ty_[], bbd)) -> new_esEs1(xy230, xy2600, bbd) new_esEs3(Left(xy230), Left(xy2600), app(app(ty_Either, bch), bda), bcc) -> new_esEs3(xy230, xy2600, bch, bda) new_esEs1(:(xy230, xy231), :(xy2600, xy2601), app(ty_Maybe, bac)) -> new_esEs2(xy230, xy2600, bac) new_esEs0(@2(xy230, xy231), @2(xy2600, xy2601), gc, app(ty_Maybe, hb)) -> new_esEs2(xy231, xy2601, hb) new_esEs3(Right(xy230), Right(xy2600), bdb, app(ty_[], bdh)) -> new_esEs1(xy230, xy2600, bdh) new_esEs(@3(xy230, xy231, xy232), @3(xy2600, xy2601, xy2602), cd, bd, app(ty_[], ed)) -> new_esEs1(xy232, xy2602, ed) new_esEs(@3(xy230, xy231, xy232), @3(xy2600, xy2601, xy2602), cd, bd, app(app(app(ty_@3, dg), dh), ea)) -> new_esEs(xy232, xy2602, dg, dh, ea) new_esEs(@3(xy230, xy231, xy232), @3(xy2600, xy2601, xy2602), cd, app(app(ty_@2, da), db), be) -> new_esEs0(xy231, xy2601, da, db) new_esEs(@3(xy230, xy231, xy232), @3(xy2600, xy2601, xy2602), app(ty_[], bh), bd, be) -> new_esEs1(xy230, xy2600, bh) new_esEs0(@2(xy230, xy231), @2(xy2600, xy2601), app(app(app(ty_@3, eh), fa), fb), fc) -> new_esEs(xy230, xy2600, eh, fa, fb) new_esEs0(@2(xy230, xy231), @2(xy2600, xy2601), gc, app(app(ty_@2, gg), gh)) -> new_esEs0(xy231, xy2601, gg, gh) new_esEs2(Just(xy230), Just(xy2600), app(app(ty_@2, bbb), bbc)) -> new_esEs0(xy230, xy2600, bbb, bbc) new_esEs(@3(xy230, xy231, xy232), @3(xy2600, xy2601, xy2602), app(ty_Maybe, ca), bd, be) -> new_esEs2(xy230, xy2600, ca) new_esEs(@3(xy230, xy231, xy232), @3(xy2600, xy2601, xy2602), cd, app(ty_[], dc), be) -> new_esEs1(xy231, xy2601, dc) new_esEs0(@2(xy230, xy231), @2(xy2600, xy2601), app(app(ty_Either, ga), gb), fc) -> new_esEs3(xy230, xy2600, ga, gb) new_esEs1(:(xy230, xy231), :(xy2600, xy2601), app(app(app(ty_@3, he), hf), hg)) -> new_esEs(xy230, xy2600, he, hf, hg) new_esEs2(Just(xy230), Just(xy2600), app(ty_Maybe, bbe)) -> new_esEs2(xy230, xy2600, bbe) new_esEs0(@2(xy230, xy231), @2(xy2600, xy2601), app(ty_[], fg), fc) -> new_esEs1(xy230, xy2600, fg) new_esEs1(:(xy230, xy231), :(xy2600, xy2601), app(app(ty_Either, bad), bae)) -> new_esEs3(xy230, xy2600, bad, bae) new_esEs(@3(xy230, xy231, xy232), @3(xy2600, xy2601, xy2602), app(app(ty_Either, cb), cc), bd, be) -> new_esEs3(xy230, xy2600, cb, cc) new_esEs3(Left(xy230), Left(xy2600), app(app(ty_@2, bcd), bce), bcc) -> new_esEs0(xy230, xy2600, bcd, bce) new_esEs3(Right(xy230), Right(xy2600), bdb, app(app(ty_Either, beb), bec)) -> new_esEs3(xy230, xy2600, beb, bec) new_esEs(@3(xy230, xy231, xy232), @3(xy2600, xy2601, xy2602), cd, app(app(app(ty_@3, ce), cf), cg), be) -> new_esEs(xy231, xy2601, ce, cf, cg) new_esEs0(@2(xy230, xy231), @2(xy2600, xy2601), gc, app(app(ty_Either, hc), hd)) -> new_esEs3(xy231, xy2601, hc, hd) new_esEs3(Left(xy230), Left(xy2600), app(app(app(ty_@3, bbh), bca), bcb), bcc) -> new_esEs(xy230, xy2600, bbh, bca, bcb) new_esEs(@3(xy230, xy231, xy232), @3(xy2600, xy2601, xy2602), cd, app(app(ty_Either, de), df), be) -> new_esEs3(xy231, xy2601, de, df) new_esEs0(@2(xy230, xy231), @2(xy2600, xy2601), gc, app(ty_[], ha)) -> new_esEs1(xy231, xy2601, ha) new_esEs(@3(xy230, xy231, xy232), @3(xy2600, xy2601, xy2602), cd, bd, app(app(ty_@2, eb), ec)) -> new_esEs0(xy232, xy2602, eb, ec) new_esEs2(Just(xy230), Just(xy2600), app(app(ty_Either, bbf), bbg)) -> new_esEs3(xy230, xy2600, bbf, bbg) new_esEs3(Right(xy230), Right(xy2600), bdb, app(app(ty_@2, bdf), bdg)) -> new_esEs0(xy230, xy2600, bdf, bdg) new_esEs1(:(xy230, xy231), :(xy2600, xy2601), app(app(ty_@2, hh), baa)) -> new_esEs0(xy230, xy2600, hh, baa) new_esEs(@3(xy230, xy231, xy232), @3(xy2600, xy2601, xy2602), cd, bd, app(app(ty_Either, ef), eg)) -> new_esEs3(xy232, xy2602, ef, eg) new_esEs3(Left(xy230), Left(xy2600), app(ty_Maybe, bcg), bcc) -> new_esEs2(xy230, xy2600, bcg) new_esEs3(Right(xy230), Right(xy2600), bdb, app(app(app(ty_@3, bdc), bdd), bde)) -> new_esEs(xy230, xy2600, bdc, bdd, bde) new_esEs3(Left(xy230), Left(xy2600), app(ty_[], bcf), bcc) -> new_esEs1(xy230, xy2600, bcf) new_esEs1(:(xy230, xy231), :(xy2600, xy2601), baf) -> new_esEs1(xy231, xy2601, baf) new_esEs(@3(xy230, xy231, xy232), @3(xy2600, xy2601, xy2602), app(app(app(ty_@3, ba), bb), bc), bd, be) -> new_esEs(xy230, xy2600, ba, bb, bc) new_esEs1(:(xy230, xy231), :(xy2600, xy2601), app(ty_[], bab)) -> new_esEs1(xy230, xy2600, bab) new_esEs(@3(xy230, xy231, xy232), @3(xy2600, xy2601, xy2602), cd, app(ty_Maybe, dd), be) -> new_esEs2(xy231, xy2601, dd) new_esEs(@3(xy230, xy231, xy232), @3(xy2600, xy2601, xy2602), cd, bd, app(ty_Maybe, ee)) -> new_esEs2(xy232, xy2602, ee) new_esEs0(@2(xy230, xy231), @2(xy2600, xy2601), app(app(ty_@2, fd), ff), fc) -> new_esEs0(xy230, xy2600, fd, ff) new_esEs(@3(xy230, xy231, xy232), @3(xy2600, xy2601, xy2602), app(app(ty_@2, bf), bg), bd, be) -> new_esEs0(xy230, xy2600, bf, bg) new_esEs0(@2(xy230, xy231), @2(xy2600, xy2601), gc, app(app(app(ty_@3, gd), ge), gf)) -> new_esEs(xy231, xy2601, gd, ge, gf) new_esEs2(Just(xy230), Just(xy2600), app(app(app(ty_@3, bag), bah), bba)) -> new_esEs(xy230, xy2600, bag, bah, bba) new_esEs0(@2(xy230, xy231), @2(xy2600, xy2601), app(ty_Maybe, fh), fc) -> new_esEs2(xy230, xy2600, fh) new_esEs3(Right(xy230), Right(xy2600), bdb, app(ty_Maybe, bea)) -> new_esEs2(xy230, xy2600, bea) R is empty. Q is empty. We have to consider all minimal (P,Q,R)-chains. ---------------------------------------- (17) QDPSizeChangeProof (EQUIVALENT) By using the subterm criterion [SUBTERM_CRITERION] together with the size-change analysis [AAECC05] we have proven that there are no infinite chains for this DP problem. From the DPs we obtained the following set of size-change graphs: *new_esEs1(:(xy230, xy231), :(xy2600, xy2601), app(ty_Maybe, bac)) -> new_esEs2(xy230, xy2600, bac) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs1(:(xy230, xy231), :(xy2600, xy2601), app(app(ty_Either, bad), bae)) -> new_esEs3(xy230, xy2600, bad, bae) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs2(Just(xy230), Just(xy2600), app(ty_Maybe, bbe)) -> new_esEs2(xy230, xy2600, bbe) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs2(Just(xy230), Just(xy2600), app(app(ty_Either, bbf), bbg)) -> new_esEs3(xy230, xy2600, bbf, bbg) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs2(Just(xy230), Just(xy2600), app(ty_[], bbd)) -> new_esEs1(xy230, xy2600, bbd) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs1(:(xy230, xy231), :(xy2600, xy2601), app(app(ty_@2, hh), baa)) -> new_esEs0(xy230, xy2600, hh, baa) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs1(:(xy230, xy231), :(xy2600, xy2601), app(app(app(ty_@3, he), hf), hg)) -> new_esEs(xy230, xy2600, he, hf, hg) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 *new_esEs2(Just(xy230), Just(xy2600), app(app(ty_@2, bbb), bbc)) -> new_esEs0(xy230, xy2600, bbb, bbc) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs2(Just(xy230), Just(xy2600), app(app(app(ty_@3, bag), bah), bba)) -> new_esEs(xy230, xy2600, bag, bah, bba) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 *new_esEs1(:(xy230, xy231), :(xy2600, xy2601), baf) -> new_esEs1(xy231, xy2601, baf) The graph contains the following edges 1 > 1, 2 > 2, 3 >= 3 *new_esEs1(:(xy230, xy231), :(xy2600, xy2601), app(ty_[], bab)) -> new_esEs1(xy230, xy2600, bab) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs3(Left(xy230), Left(xy2600), app(ty_Maybe, bcg), bcc) -> new_esEs2(xy230, xy2600, bcg) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs3(Right(xy230), Right(xy2600), bdb, app(ty_Maybe, bea)) -> new_esEs2(xy230, xy2600, bea) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 *new_esEs(@3(xy230, xy231, xy232), @3(xy2600, xy2601, xy2602), app(ty_Maybe, ca), bd, be) -> new_esEs2(xy230, xy2600, ca) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs(@3(xy230, xy231, xy232), @3(xy2600, xy2601, xy2602), cd, app(ty_Maybe, dd), be) -> new_esEs2(xy231, xy2601, dd) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 *new_esEs(@3(xy230, xy231, xy232), @3(xy2600, xy2601, xy2602), cd, bd, app(ty_Maybe, ee)) -> new_esEs2(xy232, xy2602, ee) The graph contains the following edges 1 > 1, 2 > 2, 5 > 3 *new_esEs0(@2(xy230, xy231), @2(xy2600, xy2601), gc, app(ty_Maybe, hb)) -> new_esEs2(xy231, xy2601, hb) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 *new_esEs0(@2(xy230, xy231), @2(xy2600, xy2601), app(ty_Maybe, fh), fc) -> new_esEs2(xy230, xy2600, fh) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs3(Left(xy230), Left(xy2600), app(app(ty_Either, bch), bda), bcc) -> new_esEs3(xy230, xy2600, bch, bda) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs3(Right(xy230), Right(xy2600), bdb, app(app(ty_Either, beb), bec)) -> new_esEs3(xy230, xy2600, beb, bec) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 *new_esEs3(Right(xy230), Right(xy2600), bdb, app(ty_[], bdh)) -> new_esEs1(xy230, xy2600, bdh) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 *new_esEs3(Left(xy230), Left(xy2600), app(ty_[], bcf), bcc) -> new_esEs1(xy230, xy2600, bcf) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs3(Left(xy230), Left(xy2600), app(app(ty_@2, bcd), bce), bcc) -> new_esEs0(xy230, xy2600, bcd, bce) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs3(Right(xy230), Right(xy2600), bdb, app(app(ty_@2, bdf), bdg)) -> new_esEs0(xy230, xy2600, bdf, bdg) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 *new_esEs3(Left(xy230), Left(xy2600), app(app(app(ty_@3, bbh), bca), bcb), bcc) -> new_esEs(xy230, xy2600, bbh, bca, bcb) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 *new_esEs3(Right(xy230), Right(xy2600), bdb, app(app(app(ty_@3, bdc), bdd), bde)) -> new_esEs(xy230, xy2600, bdc, bdd, bde) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4, 4 > 5 *new_esEs(@3(xy230, xy231, xy232), @3(xy2600, xy2601, xy2602), app(app(ty_Either, cb), cc), bd, be) -> new_esEs3(xy230, xy2600, cb, cc) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs(@3(xy230, xy231, xy232), @3(xy2600, xy2601, xy2602), cd, app(app(ty_Either, de), df), be) -> new_esEs3(xy231, xy2601, de, df) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 *new_esEs(@3(xy230, xy231, xy232), @3(xy2600, xy2601, xy2602), cd, bd, app(app(ty_Either, ef), eg)) -> new_esEs3(xy232, xy2602, ef, eg) The graph contains the following edges 1 > 1, 2 > 2, 5 > 3, 5 > 4 *new_esEs0(@2(xy230, xy231), @2(xy2600, xy2601), app(app(ty_Either, ga), gb), fc) -> new_esEs3(xy230, xy2600, ga, gb) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs0(@2(xy230, xy231), @2(xy2600, xy2601), gc, app(app(ty_Either, hc), hd)) -> new_esEs3(xy231, xy2601, hc, hd) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 *new_esEs(@3(xy230, xy231, xy232), @3(xy2600, xy2601, xy2602), cd, bd, app(ty_[], ed)) -> new_esEs1(xy232, xy2602, ed) The graph contains the following edges 1 > 1, 2 > 2, 5 > 3 *new_esEs(@3(xy230, xy231, xy232), @3(xy2600, xy2601, xy2602), app(ty_[], bh), bd, be) -> new_esEs1(xy230, xy2600, bh) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs(@3(xy230, xy231, xy232), @3(xy2600, xy2601, xy2602), cd, app(ty_[], dc), be) -> new_esEs1(xy231, xy2601, dc) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 *new_esEs0(@2(xy230, xy231), @2(xy2600, xy2601), app(ty_[], fg), fc) -> new_esEs1(xy230, xy2600, fg) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs0(@2(xy230, xy231), @2(xy2600, xy2601), gc, app(ty_[], ha)) -> new_esEs1(xy231, xy2601, ha) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 *new_esEs(@3(xy230, xy231, xy232), @3(xy2600, xy2601, xy2602), cd, app(app(ty_@2, da), db), be) -> new_esEs0(xy231, xy2601, da, db) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 *new_esEs(@3(xy230, xy231, xy232), @3(xy2600, xy2601, xy2602), cd, bd, app(app(ty_@2, eb), ec)) -> new_esEs0(xy232, xy2602, eb, ec) The graph contains the following edges 1 > 1, 2 > 2, 5 > 3, 5 > 4 *new_esEs(@3(xy230, xy231, xy232), @3(xy2600, xy2601, xy2602), app(app(ty_@2, bf), bg), bd, be) -> new_esEs0(xy230, xy2600, bf, bg) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs0(@2(xy230, xy231), @2(xy2600, xy2601), gc, app(app(ty_@2, gg), gh)) -> new_esEs0(xy231, xy2601, gg, gh) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 *new_esEs0(@2(xy230, xy231), @2(xy2600, xy2601), app(app(ty_@2, fd), ff), fc) -> new_esEs0(xy230, xy2600, fd, ff) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs(@3(xy230, xy231, xy232), @3(xy2600, xy2601, xy2602), cd, bd, app(app(app(ty_@3, dg), dh), ea)) -> new_esEs(xy232, xy2602, dg, dh, ea) The graph contains the following edges 1 > 1, 2 > 2, 5 > 3, 5 > 4, 5 > 5 *new_esEs(@3(xy230, xy231, xy232), @3(xy2600, xy2601, xy2602), cd, app(app(app(ty_@3, ce), cf), cg), be) -> new_esEs(xy231, xy2601, ce, cf, cg) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4, 4 > 5 *new_esEs(@3(xy230, xy231, xy232), @3(xy2600, xy2601, xy2602), app(app(app(ty_@3, ba), bb), bc), bd, be) -> new_esEs(xy230, xy2600, ba, bb, bc) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 *new_esEs0(@2(xy230, xy231), @2(xy2600, xy2601), app(app(app(ty_@3, eh), fa), fb), fc) -> new_esEs(xy230, xy2600, eh, fa, fb) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 *new_esEs0(@2(xy230, xy231), @2(xy2600, xy2601), gc, app(app(app(ty_@3, gd), ge), gf)) -> new_esEs(xy231, xy2601, gd, ge, gf) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4, 4 > 5 ---------------------------------------- (18) YES ---------------------------------------- (19) Obligation: Q DP problem: The TRS P consists of the following rules: new_isPrefixOf0(xy23, xy22, xy26, :(xy2510, xy2511), ba) -> new_isPrefixOf0(xy23, xy22, new_flip(xy26, xy2510, ba), xy2511, ba) The TRS R consists of the following rules: new_flip(xy22, xy23, ba) -> :(xy23, xy22) The set Q consists of the following terms: new_flip(x0, x1, x2) We have to consider all minimal (P,Q,R)-chains. ---------------------------------------- (20) TransformationProof (EQUIVALENT) By rewriting [LPAR04] the rule new_isPrefixOf0(xy23, xy22, xy26, :(xy2510, xy2511), ba) -> new_isPrefixOf0(xy23, xy22, new_flip(xy26, xy2510, ba), xy2511, ba) at position [2] we obtained the following new rules [LPAR04]: (new_isPrefixOf0(xy23, xy22, xy26, :(xy2510, xy2511), ba) -> new_isPrefixOf0(xy23, xy22, :(xy2510, xy26), xy2511, ba),new_isPrefixOf0(xy23, xy22, xy26, :(xy2510, xy2511), ba) -> new_isPrefixOf0(xy23, xy22, :(xy2510, xy26), xy2511, ba)) ---------------------------------------- (21) Obligation: Q DP problem: The TRS P consists of the following rules: new_isPrefixOf0(xy23, xy22, xy26, :(xy2510, xy2511), ba) -> new_isPrefixOf0(xy23, xy22, :(xy2510, xy26), xy2511, ba) The TRS R consists of the following rules: new_flip(xy22, xy23, ba) -> :(xy23, xy22) The set Q consists of the following terms: new_flip(x0, x1, x2) We have to consider all minimal (P,Q,R)-chains. ---------------------------------------- (22) UsableRulesProof (EQUIVALENT) As all Q-normal forms are R-normal forms we are in the innermost case. Hence, by the usable rules processor [LPAR04] we can delete all non-usable rules [FROCOS05] from R. ---------------------------------------- (23) Obligation: Q DP problem: The TRS P consists of the following rules: new_isPrefixOf0(xy23, xy22, xy26, :(xy2510, xy2511), ba) -> new_isPrefixOf0(xy23, xy22, :(xy2510, xy26), xy2511, ba) R is empty. The set Q consists of the following terms: new_flip(x0, x1, x2) We have to consider all minimal (P,Q,R)-chains. ---------------------------------------- (24) QReductionProof (EQUIVALENT) We deleted the following terms from Q as each root-symbol of these terms does neither occur in P nor in R.[THIEMANN]. new_flip(x0, x1, x2) ---------------------------------------- (25) Obligation: Q DP problem: The TRS P consists of the following rules: new_isPrefixOf0(xy23, xy22, xy26, :(xy2510, xy2511), ba) -> new_isPrefixOf0(xy23, xy22, :(xy2510, xy26), xy2511, ba) R is empty. Q is empty. We have to consider all minimal (P,Q,R)-chains. ---------------------------------------- (26) 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_isPrefixOf0(xy23, xy22, xy26, :(xy2510, xy2511), ba) -> new_isPrefixOf0(xy23, xy22, :(xy2510, xy26), xy2511, ba) The graph contains the following edges 1 >= 1, 2 >= 2, 4 > 4, 5 >= 5 ---------------------------------------- (27) YES ---------------------------------------- (28) Obligation: Q DP problem: The TRS P consists of the following rules: new_isPrefixOf(:(xy220, xy221), :(xy2610, xy2611), ba) -> new_isPrefixOf(xy221, xy2611, ba) R is empty. Q is empty. We have to consider all minimal (P,Q,R)-chains. ---------------------------------------- (29) 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_isPrefixOf(:(xy220, xy221), :(xy2610, xy2611), ba) -> new_isPrefixOf(xy221, xy2611, ba) The graph contains the following edges 1 > 1, 2 > 2, 3 >= 3 ---------------------------------------- (30) YES ---------------------------------------- (31) Obligation: Q DP problem: The TRS P consists of the following rules: new_primMulNat(Succ(xy23100), Succ(xy260000)) -> new_primMulNat(xy23100, Succ(xy260000)) R is empty. Q is empty. We have to consider all minimal (P,Q,R)-chains. ---------------------------------------- (32) 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(xy23100), Succ(xy260000)) -> new_primMulNat(xy23100, Succ(xy260000)) The graph contains the following edges 1 > 1, 2 >= 2 ---------------------------------------- (33) YES ---------------------------------------- (34) Obligation: Q DP problem: The TRS P consists of the following rules: new_primPlusNat(Succ(xy5300), Succ(xy2600000)) -> new_primPlusNat(xy5300, xy2600000) R is empty. Q is empty. We have to consider all minimal (P,Q,R)-chains. ---------------------------------------- (35) 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(xy5300), Succ(xy2600000)) -> new_primPlusNat(xy5300, xy2600000) The graph contains the following edges 1 > 1, 2 > 2 ---------------------------------------- (36) YES ---------------------------------------- (37) Obligation: Q DP problem: The TRS P consists of the following rules: new_primEqNat(Succ(xy2300), Succ(xy26000)) -> new_primEqNat(xy2300, xy26000) R is empty. Q is empty. We have to consider all minimal (P,Q,R)-chains. ---------------------------------------- (38) 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(xy2300), Succ(xy26000)) -> new_primEqNat(xy2300, xy26000) The graph contains the following edges 1 > 1, 2 > 2 ---------------------------------------- (39) YES