/export/starexec/sandbox/solver/bin/starexec_run_standard /export/starexec/sandbox/benchmark/theBenchmark.hs /export/starexec/sandbox/output/output_files -------------------------------------------------------------------------------- YES proof of /export/starexec/sandbox/benchmark/theBenchmark.hs # AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty H-Termination with start terms of the given HASKELL could be proven: (0) HASKELL (1) BR [EQUIVALENT, 0 ms] (2) HASKELL (3) COR [EQUIVALENT, 8 ms] (4)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) TransformationProof [EQUIVALENT, 0 ms] (18) QDP (19) UsableRulesProof [EQUIVALENT, 0 ms] (20) QDP (21) QReductionProof [EQUIVALENT, 0 ms] (22) QDP (23) QDPSizeChangeProof [EQUIVALENT, 0 ms] (24) YES (25) QDP (26) QDPSizeChangeProof [EQUIVALENT, 33 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"];1228[label="xy3/xy30 : xy31",fontsize=10,color="white",style="solid",shape="box"];6 -> 1228[label="",style="solid", color="burlywood", weight=9]; 1228 -> 7[label="",style="solid", color="burlywood", weight=3]; 1229[label="xy3/[]",fontsize=10,color="white",style="solid",shape="box"];6 -> 1229[label="",style="solid", color="burlywood", weight=9]; 1229 -> 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"];1230[label="xy24/xy240 : xy241",fontsize=10,color="white",style="solid",shape="box"];304 -> 1230[label="",style="solid", color="burlywood", weight=9]; 1230 -> 341[label="",style="solid", color="burlywood", weight=3]; 1231[label="xy24/[]",fontsize=10,color="white",style="solid",shape="box"];304 -> 1231[label="",style="solid", color="burlywood", weight=9]; 1231 -> 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"];1232[label="xy251/xy2510 : xy2511",fontsize=10,color="white",style="solid",shape="box"];355 -> 1232[label="",style="solid", color="burlywood", weight=9]; 1232 -> 359[label="",style="solid", color="burlywood", weight=3]; 1233[label="xy251/[]",fontsize=10,color="white",style="solid",shape="box"];355 -> 1233[label="",style="solid", color="burlywood", weight=9]; 1233 -> 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"];1234[label="xy26/xy260 : xy261",fontsize=10,color="white",style="solid",shape="box"];362 -> 1234[label="",style="solid", color="burlywood", weight=9]; 1234 -> 365[label="",style="solid", color="burlywood", weight=3]; 1235[label="xy26/[]",fontsize=10,color="white",style="solid",shape="box"];362 -> 1235[label="",style="solid", color="burlywood", weight=9]; 1235 -> 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 -> 542[label="",style="dashed", color="red", weight=0]; 369[label="xy23 == xy260 && List.isPrefixOf xy22 xy261",fontsize=16,color="magenta"];369 -> 543[label="",style="dashed", color="magenta", weight=3]; 369 -> 544[label="",style="dashed", color="magenta", weight=3]; 370[label="False",fontsize=16,color="green",shape="box"];543[label="List.isPrefixOf xy22 xy261",fontsize=16,color="burlywood",shape="triangle"];1236[label="xy22/xy220 : xy221",fontsize=10,color="white",style="solid",shape="box"];543 -> 1236[label="",style="solid", color="burlywood", weight=9]; 1236 -> 547[label="",style="solid", color="burlywood", weight=3]; 1237[label="xy22/[]",fontsize=10,color="white",style="solid",shape="box"];543 -> 1237[label="",style="solid", color="burlywood", weight=9]; 1237 -> 548[label="",style="solid", color="burlywood", weight=3]; 544[label="xy23 == xy260",fontsize=16,color="blue",shape="box"];1238[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];544 -> 1238[label="",style="solid", color="blue", weight=9]; 1238 -> 549[label="",style="solid", color="blue", weight=3]; 1239[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];544 -> 1239[label="",style="solid", color="blue", weight=9]; 1239 -> 550[label="",style="solid", color="blue", weight=3]; 1240[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];544 -> 1240[label="",style="solid", color="blue", weight=9]; 1240 -> 551[label="",style="solid", color="blue", weight=3]; 1241[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];544 -> 1241[label="",style="solid", color="blue", weight=9]; 1241 -> 552[label="",style="solid", color="blue", weight=3]; 1242[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];544 -> 1242[label="",style="solid", color="blue", weight=9]; 1242 -> 553[label="",style="solid", color="blue", weight=3]; 1243[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];544 -> 1243[label="",style="solid", color="blue", weight=9]; 1243 -> 554[label="",style="solid", color="blue", weight=3]; 1244[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];544 -> 1244[label="",style="solid", color="blue", weight=9]; 1244 -> 555[label="",style="solid", color="blue", weight=3]; 1245[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];544 -> 1245[label="",style="solid", color="blue", weight=9]; 1245 -> 556[label="",style="solid", color="blue", weight=3]; 1246[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];544 -> 1246[label="",style="solid", color="blue", weight=9]; 1246 -> 557[label="",style="solid", color="blue", weight=3]; 1247[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];544 -> 1247[label="",style="solid", color="blue", weight=9]; 1247 -> 558[label="",style="solid", color="blue", weight=3]; 1248[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];544 -> 1248[label="",style="solid", color="blue", weight=9]; 1248 -> 559[label="",style="solid", color="blue", weight=3]; 1249[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];544 -> 1249[label="",style="solid", color="blue", weight=9]; 1249 -> 560[label="",style="solid", color="blue", weight=3]; 1250[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];544 -> 1250[label="",style="solid", color="blue", weight=9]; 1250 -> 561[label="",style="solid", color="blue", weight=3]; 1251[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];544 -> 1251[label="",style="solid", color="blue", weight=9]; 1251 -> 562[label="",style="solid", color="blue", weight=3]; 542[label="xy38 && xy39",fontsize=16,color="burlywood",shape="triangle"];1252[label="xy38/False",fontsize=10,color="white",style="solid",shape="box"];542 -> 1252[label="",style="solid", color="burlywood", weight=9]; 1252 -> 563[label="",style="solid", color="burlywood", weight=3]; 1253[label="xy38/True",fontsize=10,color="white",style="solid",shape="box"];542 -> 1253[label="",style="solid", color="burlywood", weight=9]; 1253 -> 564[label="",style="solid", color="burlywood", weight=3]; 547[label="List.isPrefixOf (xy220 : xy221) xy261",fontsize=16,color="burlywood",shape="box"];1254[label="xy261/xy2610 : xy2611",fontsize=10,color="white",style="solid",shape="box"];547 -> 1254[label="",style="solid", color="burlywood", weight=9]; 1254 -> 565[label="",style="solid", color="burlywood", weight=3]; 1255[label="xy261/[]",fontsize=10,color="white",style="solid",shape="box"];547 -> 1255[label="",style="solid", color="burlywood", weight=9]; 1255 -> 566[label="",style="solid", color="burlywood", weight=3]; 548[label="List.isPrefixOf [] xy261",fontsize=16,color="black",shape="box"];548 -> 567[label="",style="solid", color="black", weight=3]; 549[label="xy23 == xy260",fontsize=16,color="black",shape="triangle"];549 -> 568[label="",style="solid", color="black", weight=3]; 550[label="xy23 == xy260",fontsize=16,color="burlywood",shape="triangle"];1256[label="xy23/Left xy230",fontsize=10,color="white",style="solid",shape="box"];550 -> 1256[label="",style="solid", color="burlywood", weight=9]; 1256 -> 569[label="",style="solid", color="burlywood", weight=3]; 1257[label="xy23/Right xy230",fontsize=10,color="white",style="solid",shape="box"];550 -> 1257[label="",style="solid", color="burlywood", weight=9]; 1257 -> 570[label="",style="solid", color="burlywood", weight=3]; 551[label="xy23 == xy260",fontsize=16,color="burlywood",shape="triangle"];1258[label="xy23/xy230 : xy231",fontsize=10,color="white",style="solid",shape="box"];551 -> 1258[label="",style="solid", color="burlywood", weight=9]; 1258 -> 571[label="",style="solid", color="burlywood", weight=3]; 1259[label="xy23/[]",fontsize=10,color="white",style="solid",shape="box"];551 -> 1259[label="",style="solid", color="burlywood", weight=9]; 1259 -> 572[label="",style="solid", color="burlywood", weight=3]; 552[label="xy23 == xy260",fontsize=16,color="burlywood",shape="triangle"];1260[label="xy23/LT",fontsize=10,color="white",style="solid",shape="box"];552 -> 1260[label="",style="solid", color="burlywood", weight=9]; 1260 -> 573[label="",style="solid", color="burlywood", weight=3]; 1261[label="xy23/EQ",fontsize=10,color="white",style="solid",shape="box"];552 -> 1261[label="",style="solid", color="burlywood", weight=9]; 1261 -> 574[label="",style="solid", color="burlywood", weight=3]; 1262[label="xy23/GT",fontsize=10,color="white",style="solid",shape="box"];552 -> 1262[label="",style="solid", color="burlywood", weight=9]; 1262 -> 575[label="",style="solid", color="burlywood", weight=3]; 553[label="xy23 == xy260",fontsize=16,color="burlywood",shape="triangle"];1263[label="xy23/Nothing",fontsize=10,color="white",style="solid",shape="box"];553 -> 1263[label="",style="solid", color="burlywood", weight=9]; 1263 -> 576[label="",style="solid", color="burlywood", weight=3]; 1264[label="xy23/Just xy230",fontsize=10,color="white",style="solid",shape="box"];553 -> 1264[label="",style="solid", color="burlywood", weight=9]; 1264 -> 577[label="",style="solid", color="burlywood", weight=3]; 554[label="xy23 == xy260",fontsize=16,color="burlywood",shape="triangle"];1265[label="xy23/xy230 :% xy231",fontsize=10,color="white",style="solid",shape="box"];554 -> 1265[label="",style="solid", color="burlywood", weight=9]; 1265 -> 578[label="",style="solid", color="burlywood", weight=3]; 555[label="xy23 == xy260",fontsize=16,color="burlywood",shape="triangle"];1266[label="xy23/False",fontsize=10,color="white",style="solid",shape="box"];555 -> 1266[label="",style="solid", color="burlywood", weight=9]; 1266 -> 579[label="",style="solid", color="burlywood", weight=3]; 1267[label="xy23/True",fontsize=10,color="white",style="solid",shape="box"];555 -> 1267[label="",style="solid", color="burlywood", weight=9]; 1267 -> 580[label="",style="solid", color="burlywood", weight=3]; 556[label="xy23 == xy260",fontsize=16,color="burlywood",shape="triangle"];1268[label="xy23/(xy230,xy231,xy232)",fontsize=10,color="white",style="solid",shape="box"];556 -> 1268[label="",style="solid", color="burlywood", weight=9]; 1268 -> 581[label="",style="solid", color="burlywood", weight=3]; 557[label="xy23 == xy260",fontsize=16,color="black",shape="triangle"];557 -> 582[label="",style="solid", color="black", weight=3]; 558[label="xy23 == xy260",fontsize=16,color="burlywood",shape="triangle"];1269[label="xy23/Integer xy230",fontsize=10,color="white",style="solid",shape="box"];558 -> 1269[label="",style="solid", color="burlywood", weight=9]; 1269 -> 583[label="",style="solid", color="burlywood", weight=3]; 559[label="xy23 == xy260",fontsize=16,color="burlywood",shape="triangle"];1270[label="xy23/(xy230,xy231)",fontsize=10,color="white",style="solid",shape="box"];559 -> 1270[label="",style="solid", color="burlywood", weight=9]; 1270 -> 584[label="",style="solid", color="burlywood", weight=3]; 560[label="xy23 == xy260",fontsize=16,color="burlywood",shape="triangle"];1271[label="xy23/()",fontsize=10,color="white",style="solid",shape="box"];560 -> 1271[label="",style="solid", color="burlywood", weight=9]; 1271 -> 585[label="",style="solid", color="burlywood", weight=3]; 561[label="xy23 == xy260",fontsize=16,color="black",shape="triangle"];561 -> 586[label="",style="solid", color="black", weight=3]; 562[label="xy23 == xy260",fontsize=16,color="black",shape="triangle"];562 -> 587[label="",style="solid", color="black", weight=3]; 563[label="False && xy39",fontsize=16,color="black",shape="box"];563 -> 588[label="",style="solid", color="black", weight=3]; 564[label="True && xy39",fontsize=16,color="black",shape="box"];564 -> 589[label="",style="solid", color="black", weight=3]; 565[label="List.isPrefixOf (xy220 : xy221) (xy2610 : xy2611)",fontsize=16,color="black",shape="box"];565 -> 590[label="",style="solid", color="black", weight=3]; 566[label="List.isPrefixOf (xy220 : xy221) []",fontsize=16,color="black",shape="box"];566 -> 591[label="",style="solid", color="black", weight=3]; 567[label="True",fontsize=16,color="green",shape="box"];568[label="primEqInt xy23 xy260",fontsize=16,color="burlywood",shape="triangle"];1272[label="xy23/Pos xy230",fontsize=10,color="white",style="solid",shape="box"];568 -> 1272[label="",style="solid", color="burlywood", weight=9]; 1272 -> 592[label="",style="solid", color="burlywood", weight=3]; 1273[label="xy23/Neg xy230",fontsize=10,color="white",style="solid",shape="box"];568 -> 1273[label="",style="solid", color="burlywood", weight=9]; 1273 -> 593[label="",style="solid", color="burlywood", weight=3]; 569[label="Left xy230 == xy260",fontsize=16,color="burlywood",shape="box"];1274[label="xy260/Left xy2600",fontsize=10,color="white",style="solid",shape="box"];569 -> 1274[label="",style="solid", color="burlywood", weight=9]; 1274 -> 594[label="",style="solid", color="burlywood", weight=3]; 1275[label="xy260/Right xy2600",fontsize=10,color="white",style="solid",shape="box"];569 -> 1275[label="",style="solid", color="burlywood", weight=9]; 1275 -> 595[label="",style="solid", color="burlywood", weight=3]; 570[label="Right xy230 == xy260",fontsize=16,color="burlywood",shape="box"];1276[label="xy260/Left xy2600",fontsize=10,color="white",style="solid",shape="box"];570 -> 1276[label="",style="solid", color="burlywood", weight=9]; 1276 -> 596[label="",style="solid", color="burlywood", weight=3]; 1277[label="xy260/Right xy2600",fontsize=10,color="white",style="solid",shape="box"];570 -> 1277[label="",style="solid", color="burlywood", weight=9]; 1277 -> 597[label="",style="solid", color="burlywood", weight=3]; 571[label="xy230 : xy231 == xy260",fontsize=16,color="burlywood",shape="box"];1278[label="xy260/xy2600 : xy2601",fontsize=10,color="white",style="solid",shape="box"];571 -> 1278[label="",style="solid", color="burlywood", weight=9]; 1278 -> 598[label="",style="solid", color="burlywood", weight=3]; 1279[label="xy260/[]",fontsize=10,color="white",style="solid",shape="box"];571 -> 1279[label="",style="solid", color="burlywood", weight=9]; 1279 -> 599[label="",style="solid", color="burlywood", weight=3]; 572[label="[] == xy260",fontsize=16,color="burlywood",shape="box"];1280[label="xy260/xy2600 : xy2601",fontsize=10,color="white",style="solid",shape="box"];572 -> 1280[label="",style="solid", color="burlywood", weight=9]; 1280 -> 600[label="",style="solid", color="burlywood", weight=3]; 1281[label="xy260/[]",fontsize=10,color="white",style="solid",shape="box"];572 -> 1281[label="",style="solid", color="burlywood", weight=9]; 1281 -> 601[label="",style="solid", color="burlywood", weight=3]; 573[label="LT == xy260",fontsize=16,color="burlywood",shape="box"];1282[label="xy260/LT",fontsize=10,color="white",style="solid",shape="box"];573 -> 1282[label="",style="solid", color="burlywood", weight=9]; 1282 -> 602[label="",style="solid", color="burlywood", weight=3]; 1283[label="xy260/EQ",fontsize=10,color="white",style="solid",shape="box"];573 -> 1283[label="",style="solid", color="burlywood", weight=9]; 1283 -> 603[label="",style="solid", color="burlywood", weight=3]; 1284[label="xy260/GT",fontsize=10,color="white",style="solid",shape="box"];573 -> 1284[label="",style="solid", color="burlywood", weight=9]; 1284 -> 604[label="",style="solid", color="burlywood", weight=3]; 574[label="EQ == xy260",fontsize=16,color="burlywood",shape="box"];1285[label="xy260/LT",fontsize=10,color="white",style="solid",shape="box"];574 -> 1285[label="",style="solid", color="burlywood", weight=9]; 1285 -> 605[label="",style="solid", color="burlywood", weight=3]; 1286[label="xy260/EQ",fontsize=10,color="white",style="solid",shape="box"];574 -> 1286[label="",style="solid", color="burlywood", weight=9]; 1286 -> 606[label="",style="solid", color="burlywood", weight=3]; 1287[label="xy260/GT",fontsize=10,color="white",style="solid",shape="box"];574 -> 1287[label="",style="solid", color="burlywood", weight=9]; 1287 -> 607[label="",style="solid", color="burlywood", weight=3]; 575[label="GT == xy260",fontsize=16,color="burlywood",shape="box"];1288[label="xy260/LT",fontsize=10,color="white",style="solid",shape="box"];575 -> 1288[label="",style="solid", color="burlywood", weight=9]; 1288 -> 608[label="",style="solid", color="burlywood", weight=3]; 1289[label="xy260/EQ",fontsize=10,color="white",style="solid",shape="box"];575 -> 1289[label="",style="solid", color="burlywood", weight=9]; 1289 -> 609[label="",style="solid", color="burlywood", weight=3]; 1290[label="xy260/GT",fontsize=10,color="white",style="solid",shape="box"];575 -> 1290[label="",style="solid", color="burlywood", weight=9]; 1290 -> 610[label="",style="solid", color="burlywood", weight=3]; 576[label="Nothing == xy260",fontsize=16,color="burlywood",shape="box"];1291[label="xy260/Nothing",fontsize=10,color="white",style="solid",shape="box"];576 -> 1291[label="",style="solid", color="burlywood", weight=9]; 1291 -> 611[label="",style="solid", color="burlywood", weight=3]; 1292[label="xy260/Just xy2600",fontsize=10,color="white",style="solid",shape="box"];576 -> 1292[label="",style="solid", color="burlywood", weight=9]; 1292 -> 612[label="",style="solid", color="burlywood", weight=3]; 577[label="Just xy230 == xy260",fontsize=16,color="burlywood",shape="box"];1293[label="xy260/Nothing",fontsize=10,color="white",style="solid",shape="box"];577 -> 1293[label="",style="solid", color="burlywood", weight=9]; 1293 -> 613[label="",style="solid", color="burlywood", weight=3]; 1294[label="xy260/Just xy2600",fontsize=10,color="white",style="solid",shape="box"];577 -> 1294[label="",style="solid", color="burlywood", weight=9]; 1294 -> 614[label="",style="solid", color="burlywood", weight=3]; 578[label="xy230 :% xy231 == xy260",fontsize=16,color="burlywood",shape="box"];1295[label="xy260/xy2600 :% xy2601",fontsize=10,color="white",style="solid",shape="box"];578 -> 1295[label="",style="solid", color="burlywood", weight=9]; 1295 -> 615[label="",style="solid", color="burlywood", weight=3]; 579[label="False == xy260",fontsize=16,color="burlywood",shape="box"];1296[label="xy260/False",fontsize=10,color="white",style="solid",shape="box"];579 -> 1296[label="",style="solid", color="burlywood", weight=9]; 1296 -> 616[label="",style="solid", color="burlywood", weight=3]; 1297[label="xy260/True",fontsize=10,color="white",style="solid",shape="box"];579 -> 1297[label="",style="solid", color="burlywood", weight=9]; 1297 -> 617[label="",style="solid", color="burlywood", weight=3]; 580[label="True == xy260",fontsize=16,color="burlywood",shape="box"];1298[label="xy260/False",fontsize=10,color="white",style="solid",shape="box"];580 -> 1298[label="",style="solid", color="burlywood", weight=9]; 1298 -> 618[label="",style="solid", color="burlywood", weight=3]; 1299[label="xy260/True",fontsize=10,color="white",style="solid",shape="box"];580 -> 1299[label="",style="solid", color="burlywood", weight=9]; 1299 -> 619[label="",style="solid", color="burlywood", weight=3]; 581[label="(xy230,xy231,xy232) == xy260",fontsize=16,color="burlywood",shape="box"];1300[label="xy260/(xy2600,xy2601,xy2602)",fontsize=10,color="white",style="solid",shape="box"];581 -> 1300[label="",style="solid", color="burlywood", weight=9]; 1300 -> 620[label="",style="solid", color="burlywood", weight=3]; 582[label="primEqChar xy23 xy260",fontsize=16,color="burlywood",shape="box"];1301[label="xy23/Char xy230",fontsize=10,color="white",style="solid",shape="box"];582 -> 1301[label="",style="solid", color="burlywood", weight=9]; 1301 -> 621[label="",style="solid", color="burlywood", weight=3]; 583[label="Integer xy230 == xy260",fontsize=16,color="burlywood",shape="box"];1302[label="xy260/Integer xy2600",fontsize=10,color="white",style="solid",shape="box"];583 -> 1302[label="",style="solid", color="burlywood", weight=9]; 1302 -> 622[label="",style="solid", color="burlywood", weight=3]; 584[label="(xy230,xy231) == xy260",fontsize=16,color="burlywood",shape="box"];1303[label="xy260/(xy2600,xy2601)",fontsize=10,color="white",style="solid",shape="box"];584 -> 1303[label="",style="solid", color="burlywood", weight=9]; 1303 -> 623[label="",style="solid", color="burlywood", weight=3]; 585[label="() == xy260",fontsize=16,color="burlywood",shape="box"];1304[label="xy260/()",fontsize=10,color="white",style="solid",shape="box"];585 -> 1304[label="",style="solid", color="burlywood", weight=9]; 1304 -> 624[label="",style="solid", color="burlywood", weight=3]; 586[label="primEqFloat xy23 xy260",fontsize=16,color="burlywood",shape="box"];1305[label="xy23/Float xy230 xy231",fontsize=10,color="white",style="solid",shape="box"];586 -> 1305[label="",style="solid", color="burlywood", weight=9]; 1305 -> 625[label="",style="solid", color="burlywood", weight=3]; 587[label="primEqDouble xy23 xy260",fontsize=16,color="burlywood",shape="box"];1306[label="xy23/Double xy230 xy231",fontsize=10,color="white",style="solid",shape="box"];587 -> 1306[label="",style="solid", color="burlywood", weight=9]; 1306 -> 626[label="",style="solid", color="burlywood", weight=3]; 588[label="False",fontsize=16,color="green",shape="box"];589[label="xy39",fontsize=16,color="green",shape="box"];590 -> 542[label="",style="dashed", color="red", weight=0]; 590[label="xy220 == xy2610 && List.isPrefixOf xy221 xy2611",fontsize=16,color="magenta"];590 -> 627[label="",style="dashed", color="magenta", weight=3]; 590 -> 628[label="",style="dashed", color="magenta", weight=3]; 591[label="False",fontsize=16,color="green",shape="box"];592[label="primEqInt (Pos xy230) xy260",fontsize=16,color="burlywood",shape="box"];1307[label="xy230/Succ xy2300",fontsize=10,color="white",style="solid",shape="box"];592 -> 1307[label="",style="solid", color="burlywood", weight=9]; 1307 -> 629[label="",style="solid", color="burlywood", weight=3]; 1308[label="xy230/Zero",fontsize=10,color="white",style="solid",shape="box"];592 -> 1308[label="",style="solid", color="burlywood", weight=9]; 1308 -> 630[label="",style="solid", color="burlywood", weight=3]; 593[label="primEqInt (Neg xy230) xy260",fontsize=16,color="burlywood",shape="box"];1309[label="xy230/Succ xy2300",fontsize=10,color="white",style="solid",shape="box"];593 -> 1309[label="",style="solid", color="burlywood", weight=9]; 1309 -> 631[label="",style="solid", color="burlywood", weight=3]; 1310[label="xy230/Zero",fontsize=10,color="white",style="solid",shape="box"];593 -> 1310[label="",style="solid", color="burlywood", weight=9]; 1310 -> 632[label="",style="solid", color="burlywood", weight=3]; 594[label="Left xy230 == Left xy2600",fontsize=16,color="black",shape="box"];594 -> 633[label="",style="solid", color="black", weight=3]; 595[label="Left xy230 == Right xy2600",fontsize=16,color="black",shape="box"];595 -> 634[label="",style="solid", color="black", weight=3]; 596[label="Right xy230 == Left xy2600",fontsize=16,color="black",shape="box"];596 -> 635[label="",style="solid", color="black", weight=3]; 597[label="Right xy230 == Right xy2600",fontsize=16,color="black",shape="box"];597 -> 636[label="",style="solid", color="black", weight=3]; 598[label="xy230 : xy231 == xy2600 : xy2601",fontsize=16,color="black",shape="box"];598 -> 637[label="",style="solid", color="black", weight=3]; 599[label="xy230 : xy231 == []",fontsize=16,color="black",shape="box"];599 -> 638[label="",style="solid", color="black", weight=3]; 600[label="[] == xy2600 : xy2601",fontsize=16,color="black",shape="box"];600 -> 639[label="",style="solid", color="black", weight=3]; 601[label="[] == []",fontsize=16,color="black",shape="box"];601 -> 640[label="",style="solid", color="black", weight=3]; 602[label="LT == LT",fontsize=16,color="black",shape="box"];602 -> 641[label="",style="solid", color="black", weight=3]; 603[label="LT == EQ",fontsize=16,color="black",shape="box"];603 -> 642[label="",style="solid", color="black", weight=3]; 604[label="LT == GT",fontsize=16,color="black",shape="box"];604 -> 643[label="",style="solid", color="black", weight=3]; 605[label="EQ == LT",fontsize=16,color="black",shape="box"];605 -> 644[label="",style="solid", color="black", weight=3]; 606[label="EQ == EQ",fontsize=16,color="black",shape="box"];606 -> 645[label="",style="solid", color="black", weight=3]; 607[label="EQ == GT",fontsize=16,color="black",shape="box"];607 -> 646[label="",style="solid", color="black", weight=3]; 608[label="GT == LT",fontsize=16,color="black",shape="box"];608 -> 647[label="",style="solid", color="black", weight=3]; 609[label="GT == EQ",fontsize=16,color="black",shape="box"];609 -> 648[label="",style="solid", color="black", weight=3]; 610[label="GT == GT",fontsize=16,color="black",shape="box"];610 -> 649[label="",style="solid", color="black", weight=3]; 611[label="Nothing == Nothing",fontsize=16,color="black",shape="box"];611 -> 650[label="",style="solid", color="black", weight=3]; 612[label="Nothing == Just xy2600",fontsize=16,color="black",shape="box"];612 -> 651[label="",style="solid", color="black", weight=3]; 613[label="Just xy230 == Nothing",fontsize=16,color="black",shape="box"];613 -> 652[label="",style="solid", color="black", weight=3]; 614[label="Just xy230 == Just xy2600",fontsize=16,color="black",shape="box"];614 -> 653[label="",style="solid", color="black", weight=3]; 615[label="xy230 :% xy231 == xy2600 :% xy2601",fontsize=16,color="black",shape="box"];615 -> 654[label="",style="solid", color="black", weight=3]; 616[label="False == False",fontsize=16,color="black",shape="box"];616 -> 655[label="",style="solid", color="black", weight=3]; 617[label="False == True",fontsize=16,color="black",shape="box"];617 -> 656[label="",style="solid", color="black", weight=3]; 618[label="True == False",fontsize=16,color="black",shape="box"];618 -> 657[label="",style="solid", color="black", weight=3]; 619[label="True == True",fontsize=16,color="black",shape="box"];619 -> 658[label="",style="solid", color="black", weight=3]; 620[label="(xy230,xy231,xy232) == (xy2600,xy2601,xy2602)",fontsize=16,color="black",shape="box"];620 -> 659[label="",style="solid", color="black", weight=3]; 621[label="primEqChar (Char xy230) xy260",fontsize=16,color="burlywood",shape="box"];1311[label="xy260/Char xy2600",fontsize=10,color="white",style="solid",shape="box"];621 -> 1311[label="",style="solid", color="burlywood", weight=9]; 1311 -> 660[label="",style="solid", color="burlywood", weight=3]; 622[label="Integer xy230 == Integer xy2600",fontsize=16,color="black",shape="box"];622 -> 661[label="",style="solid", color="black", weight=3]; 623[label="(xy230,xy231) == (xy2600,xy2601)",fontsize=16,color="black",shape="box"];623 -> 662[label="",style="solid", color="black", weight=3]; 624[label="() == ()",fontsize=16,color="black",shape="box"];624 -> 663[label="",style="solid", color="black", weight=3]; 625[label="primEqFloat (Float xy230 xy231) xy260",fontsize=16,color="burlywood",shape="box"];1312[label="xy260/Float xy2600 xy2601",fontsize=10,color="white",style="solid",shape="box"];625 -> 1312[label="",style="solid", color="burlywood", weight=9]; 1312 -> 664[label="",style="solid", color="burlywood", weight=3]; 626[label="primEqDouble (Double xy230 xy231) xy260",fontsize=16,color="burlywood",shape="box"];1313[label="xy260/Double xy2600 xy2601",fontsize=10,color="white",style="solid",shape="box"];626 -> 1313[label="",style="solid", color="burlywood", weight=9]; 1313 -> 665[label="",style="solid", color="burlywood", weight=3]; 627 -> 543[label="",style="dashed", color="red", weight=0]; 627[label="List.isPrefixOf xy221 xy2611",fontsize=16,color="magenta"];627 -> 666[label="",style="dashed", color="magenta", weight=3]; 627 -> 667[label="",style="dashed", color="magenta", weight=3]; 628[label="xy220 == xy2610",fontsize=16,color="blue",shape="box"];1314[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];628 -> 1314[label="",style="solid", color="blue", weight=9]; 1314 -> 668[label="",style="solid", color="blue", weight=3]; 1315[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];628 -> 1315[label="",style="solid", color="blue", weight=9]; 1315 -> 669[label="",style="solid", color="blue", weight=3]; 1316[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];628 -> 1316[label="",style="solid", color="blue", weight=9]; 1316 -> 670[label="",style="solid", color="blue", weight=3]; 1317[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];628 -> 1317[label="",style="solid", color="blue", weight=9]; 1317 -> 671[label="",style="solid", color="blue", weight=3]; 1318[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];628 -> 1318[label="",style="solid", color="blue", weight=9]; 1318 -> 672[label="",style="solid", color="blue", weight=3]; 1319[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];628 -> 1319[label="",style="solid", color="blue", weight=9]; 1319 -> 673[label="",style="solid", color="blue", weight=3]; 1320[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];628 -> 1320[label="",style="solid", color="blue", weight=9]; 1320 -> 674[label="",style="solid", color="blue", weight=3]; 1321[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];628 -> 1321[label="",style="solid", color="blue", weight=9]; 1321 -> 675[label="",style="solid", color="blue", weight=3]; 1322[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];628 -> 1322[label="",style="solid", color="blue", weight=9]; 1322 -> 676[label="",style="solid", color="blue", weight=3]; 1323[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];628 -> 1323[label="",style="solid", color="blue", weight=9]; 1323 -> 677[label="",style="solid", color="blue", weight=3]; 1324[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];628 -> 1324[label="",style="solid", color="blue", weight=9]; 1324 -> 678[label="",style="solid", color="blue", weight=3]; 1325[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];628 -> 1325[label="",style="solid", color="blue", weight=9]; 1325 -> 679[label="",style="solid", color="blue", weight=3]; 1326[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];628 -> 1326[label="",style="solid", color="blue", weight=9]; 1326 -> 680[label="",style="solid", color="blue", weight=3]; 1327[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];628 -> 1327[label="",style="solid", color="blue", weight=9]; 1327 -> 681[label="",style="solid", color="blue", weight=3]; 629[label="primEqInt (Pos (Succ xy2300)) xy260",fontsize=16,color="burlywood",shape="box"];1328[label="xy260/Pos xy2600",fontsize=10,color="white",style="solid",shape="box"];629 -> 1328[label="",style="solid", color="burlywood", weight=9]; 1328 -> 682[label="",style="solid", color="burlywood", weight=3]; 1329[label="xy260/Neg xy2600",fontsize=10,color="white",style="solid",shape="box"];629 -> 1329[label="",style="solid", color="burlywood", weight=9]; 1329 -> 683[label="",style="solid", color="burlywood", weight=3]; 630[label="primEqInt (Pos Zero) xy260",fontsize=16,color="burlywood",shape="box"];1330[label="xy260/Pos xy2600",fontsize=10,color="white",style="solid",shape="box"];630 -> 1330[label="",style="solid", color="burlywood", weight=9]; 1330 -> 684[label="",style="solid", color="burlywood", weight=3]; 1331[label="xy260/Neg xy2600",fontsize=10,color="white",style="solid",shape="box"];630 -> 1331[label="",style="solid", color="burlywood", weight=9]; 1331 -> 685[label="",style="solid", color="burlywood", weight=3]; 631[label="primEqInt (Neg (Succ xy2300)) xy260",fontsize=16,color="burlywood",shape="box"];1332[label="xy260/Pos xy2600",fontsize=10,color="white",style="solid",shape="box"];631 -> 1332[label="",style="solid", color="burlywood", weight=9]; 1332 -> 686[label="",style="solid", color="burlywood", weight=3]; 1333[label="xy260/Neg xy2600",fontsize=10,color="white",style="solid",shape="box"];631 -> 1333[label="",style="solid", color="burlywood", weight=9]; 1333 -> 687[label="",style="solid", color="burlywood", weight=3]; 632[label="primEqInt (Neg Zero) xy260",fontsize=16,color="burlywood",shape="box"];1334[label="xy260/Pos xy2600",fontsize=10,color="white",style="solid",shape="box"];632 -> 1334[label="",style="solid", color="burlywood", weight=9]; 1334 -> 688[label="",style="solid", color="burlywood", weight=3]; 1335[label="xy260/Neg xy2600",fontsize=10,color="white",style="solid",shape="box"];632 -> 1335[label="",style="solid", color="burlywood", weight=9]; 1335 -> 689[label="",style="solid", color="burlywood", weight=3]; 633[label="xy230 == xy2600",fontsize=16,color="blue",shape="box"];1336[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];633 -> 1336[label="",style="solid", color="blue", weight=9]; 1336 -> 690[label="",style="solid", color="blue", weight=3]; 1337[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];633 -> 1337[label="",style="solid", color="blue", weight=9]; 1337 -> 691[label="",style="solid", color="blue", weight=3]; 1338[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];633 -> 1338[label="",style="solid", color="blue", weight=9]; 1338 -> 692[label="",style="solid", color="blue", weight=3]; 1339[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];633 -> 1339[label="",style="solid", color="blue", weight=9]; 1339 -> 693[label="",style="solid", color="blue", weight=3]; 1340[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];633 -> 1340[label="",style="solid", color="blue", weight=9]; 1340 -> 694[label="",style="solid", color="blue", weight=3]; 1341[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];633 -> 1341[label="",style="solid", color="blue", weight=9]; 1341 -> 695[label="",style="solid", color="blue", weight=3]; 1342[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];633 -> 1342[label="",style="solid", color="blue", weight=9]; 1342 -> 696[label="",style="solid", color="blue", weight=3]; 1343[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];633 -> 1343[label="",style="solid", color="blue", weight=9]; 1343 -> 697[label="",style="solid", color="blue", weight=3]; 1344[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];633 -> 1344[label="",style="solid", color="blue", weight=9]; 1344 -> 698[label="",style="solid", color="blue", weight=3]; 1345[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];633 -> 1345[label="",style="solid", color="blue", weight=9]; 1345 -> 699[label="",style="solid", color="blue", weight=3]; 1346[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];633 -> 1346[label="",style="solid", color="blue", weight=9]; 1346 -> 700[label="",style="solid", color="blue", weight=3]; 1347[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];633 -> 1347[label="",style="solid", color="blue", weight=9]; 1347 -> 701[label="",style="solid", color="blue", weight=3]; 1348[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];633 -> 1348[label="",style="solid", color="blue", weight=9]; 1348 -> 702[label="",style="solid", color="blue", weight=3]; 1349[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];633 -> 1349[label="",style="solid", color="blue", weight=9]; 1349 -> 703[label="",style="solid", color="blue", weight=3]; 634[label="False",fontsize=16,color="green",shape="box"];635[label="False",fontsize=16,color="green",shape="box"];636[label="xy230 == xy2600",fontsize=16,color="blue",shape="box"];1350[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];636 -> 1350[label="",style="solid", color="blue", weight=9]; 1350 -> 704[label="",style="solid", color="blue", weight=3]; 1351[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];636 -> 1351[label="",style="solid", color="blue", weight=9]; 1351 -> 705[label="",style="solid", color="blue", weight=3]; 1352[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];636 -> 1352[label="",style="solid", color="blue", weight=9]; 1352 -> 706[label="",style="solid", color="blue", weight=3]; 1353[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];636 -> 1353[label="",style="solid", color="blue", weight=9]; 1353 -> 707[label="",style="solid", color="blue", weight=3]; 1354[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];636 -> 1354[label="",style="solid", color="blue", weight=9]; 1354 -> 708[label="",style="solid", color="blue", weight=3]; 1355[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];636 -> 1355[label="",style="solid", color="blue", weight=9]; 1355 -> 709[label="",style="solid", color="blue", weight=3]; 1356[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];636 -> 1356[label="",style="solid", color="blue", weight=9]; 1356 -> 710[label="",style="solid", color="blue", weight=3]; 1357[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];636 -> 1357[label="",style="solid", color="blue", weight=9]; 1357 -> 711[label="",style="solid", color="blue", weight=3]; 1358[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];636 -> 1358[label="",style="solid", color="blue", weight=9]; 1358 -> 712[label="",style="solid", color="blue", weight=3]; 1359[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];636 -> 1359[label="",style="solid", color="blue", weight=9]; 1359 -> 713[label="",style="solid", color="blue", weight=3]; 1360[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];636 -> 1360[label="",style="solid", color="blue", weight=9]; 1360 -> 714[label="",style="solid", color="blue", weight=3]; 1361[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];636 -> 1361[label="",style="solid", color="blue", weight=9]; 1361 -> 715[label="",style="solid", color="blue", weight=3]; 1362[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];636 -> 1362[label="",style="solid", color="blue", weight=9]; 1362 -> 716[label="",style="solid", color="blue", weight=3]; 1363[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];636 -> 1363[label="",style="solid", color="blue", weight=9]; 1363 -> 717[label="",style="solid", color="blue", weight=3]; 637 -> 542[label="",style="dashed", color="red", weight=0]; 637[label="xy230 == xy2600 && xy231 == xy2601",fontsize=16,color="magenta"];637 -> 718[label="",style="dashed", color="magenta", weight=3]; 637 -> 719[label="",style="dashed", color="magenta", weight=3]; 638[label="False",fontsize=16,color="green",shape="box"];639[label="False",fontsize=16,color="green",shape="box"];640[label="True",fontsize=16,color="green",shape="box"];641[label="True",fontsize=16,color="green",shape="box"];642[label="False",fontsize=16,color="green",shape="box"];643[label="False",fontsize=16,color="green",shape="box"];644[label="False",fontsize=16,color="green",shape="box"];645[label="True",fontsize=16,color="green",shape="box"];646[label="False",fontsize=16,color="green",shape="box"];647[label="False",fontsize=16,color="green",shape="box"];648[label="False",fontsize=16,color="green",shape="box"];649[label="True",fontsize=16,color="green",shape="box"];650[label="True",fontsize=16,color="green",shape="box"];651[label="False",fontsize=16,color="green",shape="box"];652[label="False",fontsize=16,color="green",shape="box"];653[label="xy230 == xy2600",fontsize=16,color="blue",shape="box"];1364[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];653 -> 1364[label="",style="solid", color="blue", weight=9]; 1364 -> 720[label="",style="solid", color="blue", weight=3]; 1365[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];653 -> 1365[label="",style="solid", color="blue", weight=9]; 1365 -> 721[label="",style="solid", color="blue", weight=3]; 1366[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];653 -> 1366[label="",style="solid", color="blue", weight=9]; 1366 -> 722[label="",style="solid", color="blue", weight=3]; 1367[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];653 -> 1367[label="",style="solid", color="blue", weight=9]; 1367 -> 723[label="",style="solid", color="blue", weight=3]; 1368[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];653 -> 1368[label="",style="solid", color="blue", weight=9]; 1368 -> 724[label="",style="solid", color="blue", weight=3]; 1369[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];653 -> 1369[label="",style="solid", color="blue", weight=9]; 1369 -> 725[label="",style="solid", color="blue", weight=3]; 1370[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];653 -> 1370[label="",style="solid", color="blue", weight=9]; 1370 -> 726[label="",style="solid", color="blue", weight=3]; 1371[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];653 -> 1371[label="",style="solid", color="blue", weight=9]; 1371 -> 727[label="",style="solid", color="blue", weight=3]; 1372[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];653 -> 1372[label="",style="solid", color="blue", weight=9]; 1372 -> 728[label="",style="solid", color="blue", weight=3]; 1373[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];653 -> 1373[label="",style="solid", color="blue", weight=9]; 1373 -> 729[label="",style="solid", color="blue", weight=3]; 1374[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];653 -> 1374[label="",style="solid", color="blue", weight=9]; 1374 -> 730[label="",style="solid", color="blue", weight=3]; 1375[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];653 -> 1375[label="",style="solid", color="blue", weight=9]; 1375 -> 731[label="",style="solid", color="blue", weight=3]; 1376[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];653 -> 1376[label="",style="solid", color="blue", weight=9]; 1376 -> 732[label="",style="solid", color="blue", weight=3]; 1377[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];653 -> 1377[label="",style="solid", color="blue", weight=9]; 1377 -> 733[label="",style="solid", color="blue", weight=3]; 654 -> 542[label="",style="dashed", color="red", weight=0]; 654[label="xy230 == xy2600 && xy231 == xy2601",fontsize=16,color="magenta"];654 -> 734[label="",style="dashed", color="magenta", weight=3]; 654 -> 735[label="",style="dashed", color="magenta", weight=3]; 655[label="True",fontsize=16,color="green",shape="box"];656[label="False",fontsize=16,color="green",shape="box"];657[label="False",fontsize=16,color="green",shape="box"];658[label="True",fontsize=16,color="green",shape="box"];659 -> 542[label="",style="dashed", color="red", weight=0]; 659[label="xy230 == xy2600 && xy231 == xy2601 && xy232 == xy2602",fontsize=16,color="magenta"];659 -> 736[label="",style="dashed", color="magenta", weight=3]; 659 -> 737[label="",style="dashed", color="magenta", weight=3]; 660[label="primEqChar (Char xy230) (Char xy2600)",fontsize=16,color="black",shape="box"];660 -> 738[label="",style="solid", color="black", weight=3]; 661 -> 568[label="",style="dashed", color="red", weight=0]; 661[label="primEqInt xy230 xy2600",fontsize=16,color="magenta"];661 -> 739[label="",style="dashed", color="magenta", weight=3]; 661 -> 740[label="",style="dashed", color="magenta", weight=3]; 662 -> 542[label="",style="dashed", color="red", weight=0]; 662[label="xy230 == xy2600 && xy231 == xy2601",fontsize=16,color="magenta"];662 -> 741[label="",style="dashed", color="magenta", weight=3]; 662 -> 742[label="",style="dashed", color="magenta", weight=3]; 663[label="True",fontsize=16,color="green",shape="box"];664[label="primEqFloat (Float xy230 xy231) (Float xy2600 xy2601)",fontsize=16,color="black",shape="box"];664 -> 743[label="",style="solid", color="black", weight=3]; 665[label="primEqDouble (Double xy230 xy231) (Double xy2600 xy2601)",fontsize=16,color="black",shape="box"];665 -> 744[label="",style="solid", color="black", weight=3]; 666[label="xy2611",fontsize=16,color="green",shape="box"];667[label="xy221",fontsize=16,color="green",shape="box"];668 -> 549[label="",style="dashed", color="red", weight=0]; 668[label="xy220 == xy2610",fontsize=16,color="magenta"];668 -> 745[label="",style="dashed", color="magenta", weight=3]; 668 -> 746[label="",style="dashed", color="magenta", weight=3]; 669 -> 550[label="",style="dashed", color="red", weight=0]; 669[label="xy220 == xy2610",fontsize=16,color="magenta"];669 -> 747[label="",style="dashed", color="magenta", weight=3]; 669 -> 748[label="",style="dashed", color="magenta", weight=3]; 670 -> 551[label="",style="dashed", color="red", weight=0]; 670[label="xy220 == xy2610",fontsize=16,color="magenta"];670 -> 749[label="",style="dashed", color="magenta", weight=3]; 670 -> 750[label="",style="dashed", color="magenta", weight=3]; 671 -> 552[label="",style="dashed", color="red", weight=0]; 671[label="xy220 == xy2610",fontsize=16,color="magenta"];671 -> 751[label="",style="dashed", color="magenta", weight=3]; 671 -> 752[label="",style="dashed", color="magenta", weight=3]; 672 -> 553[label="",style="dashed", color="red", weight=0]; 672[label="xy220 == xy2610",fontsize=16,color="magenta"];672 -> 753[label="",style="dashed", color="magenta", weight=3]; 672 -> 754[label="",style="dashed", color="magenta", weight=3]; 673 -> 554[label="",style="dashed", color="red", weight=0]; 673[label="xy220 == xy2610",fontsize=16,color="magenta"];673 -> 755[label="",style="dashed", color="magenta", weight=3]; 673 -> 756[label="",style="dashed", color="magenta", weight=3]; 674 -> 555[label="",style="dashed", color="red", weight=0]; 674[label="xy220 == xy2610",fontsize=16,color="magenta"];674 -> 757[label="",style="dashed", color="magenta", weight=3]; 674 -> 758[label="",style="dashed", color="magenta", weight=3]; 675 -> 556[label="",style="dashed", color="red", weight=0]; 675[label="xy220 == xy2610",fontsize=16,color="magenta"];675 -> 759[label="",style="dashed", color="magenta", weight=3]; 675 -> 760[label="",style="dashed", color="magenta", weight=3]; 676 -> 557[label="",style="dashed", color="red", weight=0]; 676[label="xy220 == xy2610",fontsize=16,color="magenta"];676 -> 761[label="",style="dashed", color="magenta", weight=3]; 676 -> 762[label="",style="dashed", color="magenta", weight=3]; 677 -> 558[label="",style="dashed", color="red", weight=0]; 677[label="xy220 == xy2610",fontsize=16,color="magenta"];677 -> 763[label="",style="dashed", color="magenta", weight=3]; 677 -> 764[label="",style="dashed", color="magenta", weight=3]; 678 -> 559[label="",style="dashed", color="red", weight=0]; 678[label="xy220 == xy2610",fontsize=16,color="magenta"];678 -> 765[label="",style="dashed", color="magenta", weight=3]; 678 -> 766[label="",style="dashed", color="magenta", weight=3]; 679 -> 560[label="",style="dashed", color="red", weight=0]; 679[label="xy220 == xy2610",fontsize=16,color="magenta"];679 -> 767[label="",style="dashed", color="magenta", weight=3]; 679 -> 768[label="",style="dashed", color="magenta", weight=3]; 680 -> 561[label="",style="dashed", color="red", weight=0]; 680[label="xy220 == xy2610",fontsize=16,color="magenta"];680 -> 769[label="",style="dashed", color="magenta", weight=3]; 680 -> 770[label="",style="dashed", color="magenta", weight=3]; 681 -> 562[label="",style="dashed", color="red", weight=0]; 681[label="xy220 == xy2610",fontsize=16,color="magenta"];681 -> 771[label="",style="dashed", color="magenta", weight=3]; 681 -> 772[label="",style="dashed", color="magenta", weight=3]; 682[label="primEqInt (Pos (Succ xy2300)) (Pos xy2600)",fontsize=16,color="burlywood",shape="box"];1378[label="xy2600/Succ xy26000",fontsize=10,color="white",style="solid",shape="box"];682 -> 1378[label="",style="solid", color="burlywood", weight=9]; 1378 -> 773[label="",style="solid", color="burlywood", weight=3]; 1379[label="xy2600/Zero",fontsize=10,color="white",style="solid",shape="box"];682 -> 1379[label="",style="solid", color="burlywood", weight=9]; 1379 -> 774[label="",style="solid", color="burlywood", weight=3]; 683[label="primEqInt (Pos (Succ xy2300)) (Neg xy2600)",fontsize=16,color="black",shape="box"];683 -> 775[label="",style="solid", color="black", weight=3]; 684[label="primEqInt (Pos Zero) (Pos xy2600)",fontsize=16,color="burlywood",shape="box"];1380[label="xy2600/Succ xy26000",fontsize=10,color="white",style="solid",shape="box"];684 -> 1380[label="",style="solid", color="burlywood", weight=9]; 1380 -> 776[label="",style="solid", color="burlywood", weight=3]; 1381[label="xy2600/Zero",fontsize=10,color="white",style="solid",shape="box"];684 -> 1381[label="",style="solid", color="burlywood", weight=9]; 1381 -> 777[label="",style="solid", color="burlywood", weight=3]; 685[label="primEqInt (Pos Zero) (Neg xy2600)",fontsize=16,color="burlywood",shape="box"];1382[label="xy2600/Succ xy26000",fontsize=10,color="white",style="solid",shape="box"];685 -> 1382[label="",style="solid", color="burlywood", weight=9]; 1382 -> 778[label="",style="solid", color="burlywood", weight=3]; 1383[label="xy2600/Zero",fontsize=10,color="white",style="solid",shape="box"];685 -> 1383[label="",style="solid", color="burlywood", weight=9]; 1383 -> 779[label="",style="solid", color="burlywood", weight=3]; 686[label="primEqInt (Neg (Succ xy2300)) (Pos xy2600)",fontsize=16,color="black",shape="box"];686 -> 780[label="",style="solid", color="black", weight=3]; 687[label="primEqInt (Neg (Succ xy2300)) (Neg xy2600)",fontsize=16,color="burlywood",shape="box"];1384[label="xy2600/Succ xy26000",fontsize=10,color="white",style="solid",shape="box"];687 -> 1384[label="",style="solid", color="burlywood", weight=9]; 1384 -> 781[label="",style="solid", color="burlywood", weight=3]; 1385[label="xy2600/Zero",fontsize=10,color="white",style="solid",shape="box"];687 -> 1385[label="",style="solid", color="burlywood", weight=9]; 1385 -> 782[label="",style="solid", color="burlywood", weight=3]; 688[label="primEqInt (Neg Zero) (Pos xy2600)",fontsize=16,color="burlywood",shape="box"];1386[label="xy2600/Succ xy26000",fontsize=10,color="white",style="solid",shape="box"];688 -> 1386[label="",style="solid", color="burlywood", weight=9]; 1386 -> 783[label="",style="solid", color="burlywood", weight=3]; 1387[label="xy2600/Zero",fontsize=10,color="white",style="solid",shape="box"];688 -> 1387[label="",style="solid", color="burlywood", weight=9]; 1387 -> 784[label="",style="solid", color="burlywood", weight=3]; 689[label="primEqInt (Neg Zero) (Neg xy2600)",fontsize=16,color="burlywood",shape="box"];1388[label="xy2600/Succ xy26000",fontsize=10,color="white",style="solid",shape="box"];689 -> 1388[label="",style="solid", color="burlywood", weight=9]; 1388 -> 785[label="",style="solid", color="burlywood", weight=3]; 1389[label="xy2600/Zero",fontsize=10,color="white",style="solid",shape="box"];689 -> 1389[label="",style="solid", color="burlywood", weight=9]; 1389 -> 786[label="",style="solid", color="burlywood", weight=3]; 690 -> 549[label="",style="dashed", color="red", weight=0]; 690[label="xy230 == xy2600",fontsize=16,color="magenta"];690 -> 787[label="",style="dashed", color="magenta", weight=3]; 690 -> 788[label="",style="dashed", color="magenta", weight=3]; 691 -> 550[label="",style="dashed", color="red", weight=0]; 691[label="xy230 == xy2600",fontsize=16,color="magenta"];691 -> 789[label="",style="dashed", color="magenta", weight=3]; 691 -> 790[label="",style="dashed", color="magenta", weight=3]; 692 -> 551[label="",style="dashed", color="red", weight=0]; 692[label="xy230 == xy2600",fontsize=16,color="magenta"];692 -> 791[label="",style="dashed", color="magenta", weight=3]; 692 -> 792[label="",style="dashed", color="magenta", weight=3]; 693 -> 552[label="",style="dashed", color="red", weight=0]; 693[label="xy230 == xy2600",fontsize=16,color="magenta"];693 -> 793[label="",style="dashed", color="magenta", weight=3]; 693 -> 794[label="",style="dashed", color="magenta", weight=3]; 694 -> 553[label="",style="dashed", color="red", weight=0]; 694[label="xy230 == xy2600",fontsize=16,color="magenta"];694 -> 795[label="",style="dashed", color="magenta", weight=3]; 694 -> 796[label="",style="dashed", color="magenta", weight=3]; 695 -> 554[label="",style="dashed", color="red", weight=0]; 695[label="xy230 == xy2600",fontsize=16,color="magenta"];695 -> 797[label="",style="dashed", color="magenta", weight=3]; 695 -> 798[label="",style="dashed", color="magenta", weight=3]; 696 -> 555[label="",style="dashed", color="red", weight=0]; 696[label="xy230 == xy2600",fontsize=16,color="magenta"];696 -> 799[label="",style="dashed", color="magenta", weight=3]; 696 -> 800[label="",style="dashed", color="magenta", weight=3]; 697 -> 556[label="",style="dashed", color="red", weight=0]; 697[label="xy230 == xy2600",fontsize=16,color="magenta"];697 -> 801[label="",style="dashed", color="magenta", weight=3]; 697 -> 802[label="",style="dashed", color="magenta", weight=3]; 698 -> 557[label="",style="dashed", color="red", weight=0]; 698[label="xy230 == xy2600",fontsize=16,color="magenta"];698 -> 803[label="",style="dashed", color="magenta", weight=3]; 698 -> 804[label="",style="dashed", color="magenta", weight=3]; 699 -> 558[label="",style="dashed", color="red", weight=0]; 699[label="xy230 == xy2600",fontsize=16,color="magenta"];699 -> 805[label="",style="dashed", color="magenta", weight=3]; 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1413 -> 898[label="",style="solid", color="blue", weight=3]; 1414[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];737 -> 1414[label="",style="solid", color="blue", weight=9]; 1414 -> 899[label="",style="solid", color="blue", weight=3]; 1415[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];737 -> 1415[label="",style="solid", color="blue", weight=9]; 1415 -> 900[label="",style="solid", color="blue", weight=3]; 1416[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];737 -> 1416[label="",style="solid", color="blue", weight=9]; 1416 -> 901[label="",style="solid", color="blue", weight=3]; 1417[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];737 -> 1417[label="",style="solid", color="blue", weight=9]; 1417 -> 902[label="",style="solid", color="blue", weight=3]; 1418[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];737 -> 1418[label="",style="solid", color="blue", weight=9]; 1418 -> 903[label="",style="solid", color="blue", weight=3]; 1419[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];737 -> 1419[label="",style="solid", color="blue", weight=9]; 1419 -> 904[label="",style="solid", color="blue", weight=3]; 1420[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];737 -> 1420[label="",style="solid", color="blue", weight=9]; 1420 -> 905[label="",style="solid", color="blue", weight=3]; 1421[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];737 -> 1421[label="",style="solid", color="blue", weight=9]; 1421 -> 906[label="",style="solid", color="blue", weight=3]; 738[label="primEqNat xy230 xy2600",fontsize=16,color="burlywood",shape="triangle"];1422[label="xy230/Succ xy2300",fontsize=10,color="white",style="solid",shape="box"];738 -> 1422[label="",style="solid", color="burlywood", weight=9]; 1422 -> 907[label="",style="solid", color="burlywood", weight=3]; 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1427[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];741 -> 1427[label="",style="solid", color="blue", weight=9]; 1427 -> 912[label="",style="solid", color="blue", weight=3]; 1428[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];741 -> 1428[label="",style="solid", color="blue", weight=9]; 1428 -> 913[label="",style="solid", color="blue", weight=3]; 1429[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];741 -> 1429[label="",style="solid", color="blue", weight=9]; 1429 -> 914[label="",style="solid", color="blue", weight=3]; 1430[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];741 -> 1430[label="",style="solid", color="blue", weight=9]; 1430 -> 915[label="",style="solid", color="blue", weight=3]; 1431[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];741 -> 1431[label="",style="solid", color="blue", weight=9]; 1431 -> 916[label="",style="solid", color="blue", weight=3]; 1432[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];741 -> 1432[label="",style="solid", color="blue", weight=9]; 1432 -> 917[label="",style="solid", color="blue", weight=3]; 1433[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];741 -> 1433[label="",style="solid", color="blue", weight=9]; 1433 -> 918[label="",style="solid", color="blue", weight=3]; 1434[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];741 -> 1434[label="",style="solid", color="blue", weight=9]; 1434 -> 919[label="",style="solid", color="blue", weight=3]; 1435[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];741 -> 1435[label="",style="solid", color="blue", weight=9]; 1435 -> 920[label="",style="solid", color="blue", weight=3]; 1436[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];741 -> 1436[label="",style="solid", color="blue", weight=9]; 1436 -> 921[label="",style="solid", color="blue", weight=3]; 1437[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];741 -> 1437[label="",style="solid", color="blue", weight=9]; 1437 -> 922[label="",style="solid", color="blue", weight=3]; 742[label="xy230 == xy2600",fontsize=16,color="blue",shape="box"];1438[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];742 -> 1438[label="",style="solid", color="blue", weight=9]; 1438 -> 923[label="",style="solid", color="blue", weight=3]; 1439[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];742 -> 1439[label="",style="solid", color="blue", weight=9]; 1439 -> 924[label="",style="solid", color="blue", weight=3]; 1440[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];742 -> 1440[label="",style="solid", color="blue", weight=9]; 1440 -> 925[label="",style="solid", color="blue", weight=3]; 1441[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];742 -> 1441[label="",style="solid", color="blue", weight=9]; 1441 -> 926[label="",style="solid", color="blue", weight=3]; 1442[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];742 -> 1442[label="",style="solid", color="blue", weight=9]; 1442 -> 927[label="",style="solid", color="blue", weight=3]; 1443[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];742 -> 1443[label="",style="solid", color="blue", weight=9]; 1443 -> 928[label="",style="solid", color="blue", weight=3]; 1444[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];742 -> 1444[label="",style="solid", color="blue", weight=9]; 1444 -> 929[label="",style="solid", color="blue", weight=3]; 1445[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];742 -> 1445[label="",style="solid", color="blue", weight=9]; 1445 -> 930[label="",style="solid", color="blue", weight=3]; 1446[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];742 -> 1446[label="",style="solid", color="blue", weight=9]; 1446 -> 931[label="",style="solid", color="blue", weight=3]; 1447[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];742 -> 1447[label="",style="solid", color="blue", weight=9]; 1447 -> 932[label="",style="solid", color="blue", weight=3]; 1448[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];742 -> 1448[label="",style="solid", color="blue", weight=9]; 1448 -> 933[label="",style="solid", color="blue", weight=3]; 1449[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];742 -> 1449[label="",style="solid", color="blue", weight=9]; 1449 -> 934[label="",style="solid", color="blue", weight=3]; 1450[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];742 -> 1450[label="",style="solid", color="blue", weight=9]; 1450 -> 935[label="",style="solid", color="blue", weight=3]; 1451[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];742 -> 1451[label="",style="solid", color="blue", weight=9]; 1451 -> 936[label="",style="solid", color="blue", weight=3]; 743 -> 549[label="",style="dashed", color="red", weight=0]; 743[label="xy230 * xy2601 == xy231 * xy2600",fontsize=16,color="magenta"];743 -> 937[label="",style="dashed", color="magenta", weight=3]; 743 -> 938[label="",style="dashed", color="magenta", weight=3]; 744 -> 549[label="",style="dashed", color="red", weight=0]; 744[label="xy230 * xy2601 == xy231 * xy2600",fontsize=16,color="magenta"];744 -> 939[label="",style="dashed", color="magenta", weight=3]; 744 -> 940[label="",style="dashed", color="magenta", weight=3]; 745[label="xy2610",fontsize=16,color="green",shape="box"];746[label="xy220",fontsize=16,color="green",shape="box"];747[label="xy2610",fontsize=16,color="green",shape="box"];748[label="xy220",fontsize=16,color="green",shape="box"];749[label="xy2610",fontsize=16,color="green",shape="box"];750[label="xy220",fontsize=16,color="green",shape="box"];751[label="xy2610",fontsize=16,color="green",shape="box"];752[label="xy220",fontsize=16,color="green",shape="box"];753[label="xy2610",fontsize=16,color="green",shape="box"];754[label="xy220",fontsize=16,color="green",shape="box"];755[label="xy2610",fontsize=16,color="green",shape="box"];756[label="xy220",fontsize=16,color="green",shape="box"];757[label="xy2610",fontsize=16,color="green",shape="box"];758[label="xy220",fontsize=16,color="green",shape="box"];759[label="xy2610",fontsize=16,color="green",shape="box"];760[label="xy220",fontsize=16,color="green",shape="box"];761[label="xy2610",fontsize=16,color="green",shape="box"];762[label="xy220",fontsize=16,color="green",shape="box"];763[label="xy2610",fontsize=16,color="green",shape="box"];764[label="xy220",fontsize=16,color="green",shape="box"];765[label="xy2610",fontsize=16,color="green",shape="box"];766[label="xy220",fontsize=16,color="green",shape="box"];767[label="xy2610",fontsize=16,color="green",shape="box"];768[label="xy220",fontsize=16,color="green",shape="box"];769[label="xy2610",fontsize=16,color="green",shape="box"];770[label="xy220",fontsize=16,color="green",shape="box"];771[label="xy2610",fontsize=16,color="green",shape="box"];772[label="xy220",fontsize=16,color="green",shape="box"];773[label="primEqInt (Pos (Succ xy2300)) (Pos (Succ xy26000))",fontsize=16,color="black",shape="box"];773 -> 941[label="",style="solid", color="black", weight=3]; 774[label="primEqInt (Pos (Succ xy2300)) (Pos Zero)",fontsize=16,color="black",shape="box"];774 -> 942[label="",style="solid", color="black", weight=3]; 775[label="False",fontsize=16,color="green",shape="box"];776[label="primEqInt (Pos Zero) (Pos (Succ xy26000))",fontsize=16,color="black",shape="box"];776 -> 943[label="",style="solid", color="black", weight=3]; 777[label="primEqInt (Pos Zero) (Pos Zero)",fontsize=16,color="black",shape="box"];777 -> 944[label="",style="solid", color="black", weight=3]; 778[label="primEqInt (Pos Zero) (Neg (Succ xy26000))",fontsize=16,color="black",shape="box"];778 -> 945[label="",style="solid", color="black", weight=3]; 779[label="primEqInt (Pos Zero) (Neg Zero)",fontsize=16,color="black",shape="box"];779 -> 946[label="",style="solid", color="black", weight=3]; 780[label="False",fontsize=16,color="green",shape="box"];781[label="primEqInt (Neg (Succ xy2300)) (Neg (Succ xy26000))",fontsize=16,color="black",shape="box"];781 -> 947[label="",style="solid", color="black", weight=3]; 782[label="primEqInt (Neg (Succ xy2300)) (Neg Zero)",fontsize=16,color="black",shape="box"];782 -> 948[label="",style="solid", color="black", weight=3]; 783[label="primEqInt (Neg Zero) (Pos (Succ xy26000))",fontsize=16,color="black",shape="box"];783 -> 949[label="",style="solid", color="black", weight=3]; 784[label="primEqInt (Neg Zero) (Pos Zero)",fontsize=16,color="black",shape="box"];784 -> 950[label="",style="solid", color="black", weight=3]; 785[label="primEqInt (Neg Zero) (Neg (Succ xy26000))",fontsize=16,color="black",shape="box"];785 -> 951[label="",style="solid", color="black", weight=3]; 786[label="primEqInt (Neg Zero) (Neg Zero)",fontsize=16,color="black",shape="box"];786 -> 952[label="",style="solid", color="black", weight=3]; 787[label="xy2600",fontsize=16,color="green",shape="box"];788[label="xy230",fontsize=16,color="green",shape="box"];789[label="xy2600",fontsize=16,color="green",shape="box"];790[label="xy230",fontsize=16,color="green",shape="box"];791[label="xy2600",fontsize=16,color="green",shape="box"];792[label="xy230",fontsize=16,color="green",shape="box"];793[label="xy2600",fontsize=16,color="green",shape="box"];794[label="xy230",fontsize=16,color="green",shape="box"];795[label="xy2600",fontsize=16,color="green",shape="box"];796[label="xy230",fontsize=16,color="green",shape="box"];797[label="xy2600",fontsize=16,color="green",shape="box"];798[label="xy230",fontsize=16,color="green",shape="box"];799[label="xy2600",fontsize=16,color="green",shape="box"];800[label="xy230",fontsize=16,color="green",shape="box"];801[label="xy2600",fontsize=16,color="green",shape="box"];802[label="xy230",fontsize=16,color="green",shape="box"];803[label="xy2600",fontsize=16,color="green",shape="box"];804[label="xy230",fontsize=16,color="green",shape="box"];805[label="xy2600",fontsize=16,color="green",shape="box"];806[label="xy230",fontsize=16,color="green",shape="box"];807[label="xy2600",fontsize=16,color="green",shape="box"];808[label="xy230",fontsize=16,color="green",shape="box"];809[label="xy2600",fontsize=16,color="green",shape="box"];810[label="xy230",fontsize=16,color="green",shape="box"];811[label="xy2600",fontsize=16,color="green",shape="box"];812[label="xy230",fontsize=16,color="green",shape="box"];813[label="xy2600",fontsize=16,color="green",shape="box"];814[label="xy230",fontsize=16,color="green",shape="box"];815[label="xy2600",fontsize=16,color="green",shape="box"];816[label="xy230",fontsize=16,color="green",shape="box"];817[label="xy2600",fontsize=16,color="green",shape="box"];818[label="xy230",fontsize=16,color="green",shape="box"];819[label="xy2600",fontsize=16,color="green",shape="box"];820[label="xy230",fontsize=16,color="green",shape="box"];821[label="xy2600",fontsize=16,color="green",shape="box"];822[label="xy230",fontsize=16,color="green",shape="box"];823[label="xy2600",fontsize=16,color="green",shape="box"];824[label="xy230",fontsize=16,color="green",shape="box"];825[label="xy2600",fontsize=16,color="green",shape="box"];826[label="xy230",fontsize=16,color="green",shape="box"];827[label="xy2600",fontsize=16,color="green",shape="box"];828[label="xy230",fontsize=16,color="green",shape="box"];829[label="xy2600",fontsize=16,color="green",shape="box"];830[label="xy230",fontsize=16,color="green",shape="box"];831[label="xy2600",fontsize=16,color="green",shape="box"];832[label="xy230",fontsize=16,color="green",shape="box"];833[label="xy2600",fontsize=16,color="green",shape="box"];834[label="xy230",fontsize=16,color="green",shape="box"];835[label="xy2600",fontsize=16,color="green",shape="box"];836[label="xy230",fontsize=16,color="green",shape="box"];837[label="xy2600",fontsize=16,color="green",shape="box"];838[label="xy230",fontsize=16,color="green",shape="box"];839[label="xy2600",fontsize=16,color="green",shape="box"];840[label="xy230",fontsize=16,color="green",shape="box"];841[label="xy2600",fontsize=16,color="green",shape="box"];842[label="xy230",fontsize=16,color="green",shape="box"];843[label="xy2601",fontsize=16,color="green",shape="box"];844[label="xy231",fontsize=16,color="green",shape="box"];845 -> 549[label="",style="dashed", color="red", weight=0]; 845[label="xy230 == xy2600",fontsize=16,color="magenta"];845 -> 953[label="",style="dashed", color="magenta", weight=3]; 845 -> 954[label="",style="dashed", color="magenta", weight=3]; 846 -> 550[label="",style="dashed", color="red", weight=0]; 846[label="xy230 == xy2600",fontsize=16,color="magenta"];846 -> 955[label="",style="dashed", color="magenta", weight=3]; 846 -> 956[label="",style="dashed", color="magenta", weight=3]; 847 -> 551[label="",style="dashed", color="red", weight=0]; 847[label="xy230 == xy2600",fontsize=16,color="magenta"];847 -> 957[label="",style="dashed", color="magenta", weight=3]; 847 -> 958[label="",style="dashed", color="magenta", weight=3]; 848 -> 552[label="",style="dashed", color="red", weight=0]; 848[label="xy230 == xy2600",fontsize=16,color="magenta"];848 -> 959[label="",style="dashed", color="magenta", weight=3]; 848 -> 960[label="",style="dashed", color="magenta", weight=3]; 849 -> 553[label="",style="dashed", color="red", weight=0]; 849[label="xy230 == xy2600",fontsize=16,color="magenta"];849 -> 961[label="",style="dashed", color="magenta", weight=3]; 849 -> 962[label="",style="dashed", color="magenta", weight=3]; 850 -> 554[label="",style="dashed", color="red", weight=0]; 850[label="xy230 == xy2600",fontsize=16,color="magenta"];850 -> 963[label="",style="dashed", color="magenta", weight=3]; 850 -> 964[label="",style="dashed", color="magenta", weight=3]; 851 -> 555[label="",style="dashed", color="red", weight=0]; 851[label="xy230 == xy2600",fontsize=16,color="magenta"];851 -> 965[label="",style="dashed", color="magenta", weight=3]; 851 -> 966[label="",style="dashed", color="magenta", weight=3]; 852 -> 556[label="",style="dashed", color="red", weight=0]; 852[label="xy230 == xy2600",fontsize=16,color="magenta"];852 -> 967[label="",style="dashed", color="magenta", weight=3]; 852 -> 968[label="",style="dashed", color="magenta", weight=3]; 853 -> 557[label="",style="dashed", color="red", weight=0]; 853[label="xy230 == xy2600",fontsize=16,color="magenta"];853 -> 969[label="",style="dashed", color="magenta", weight=3]; 853 -> 970[label="",style="dashed", color="magenta", weight=3]; 854 -> 558[label="",style="dashed", color="red", weight=0]; 854[label="xy230 == xy2600",fontsize=16,color="magenta"];854 -> 971[label="",style="dashed", color="magenta", weight=3]; 854 -> 972[label="",style="dashed", color="magenta", weight=3]; 855 -> 559[label="",style="dashed", color="red", weight=0]; 855[label="xy230 == xy2600",fontsize=16,color="magenta"];855 -> 973[label="",style="dashed", color="magenta", weight=3]; 855 -> 974[label="",style="dashed", color="magenta", weight=3]; 856 -> 560[label="",style="dashed", color="red", weight=0]; 856[label="xy230 == xy2600",fontsize=16,color="magenta"];856 -> 975[label="",style="dashed", color="magenta", weight=3]; 856 -> 976[label="",style="dashed", color="magenta", weight=3]; 857 -> 561[label="",style="dashed", color="red", weight=0]; 857[label="xy230 == xy2600",fontsize=16,color="magenta"];857 -> 977[label="",style="dashed", color="magenta", weight=3]; 857 -> 978[label="",style="dashed", color="magenta", weight=3]; 858 -> 562[label="",style="dashed", color="red", weight=0]; 858[label="xy230 == xy2600",fontsize=16,color="magenta"];858 -> 979[label="",style="dashed", color="magenta", weight=3]; 858 -> 980[label="",style="dashed", color="magenta", weight=3]; 859[label="xy2600",fontsize=16,color="green",shape="box"];860[label="xy230",fontsize=16,color="green",shape="box"];861[label="xy2600",fontsize=16,color="green",shape="box"];862[label="xy230",fontsize=16,color="green",shape="box"];863[label="xy2600",fontsize=16,color="green",shape="box"];864[label="xy230",fontsize=16,color="green",shape="box"];865[label="xy2600",fontsize=16,color="green",shape="box"];866[label="xy230",fontsize=16,color="green",shape="box"];867[label="xy2600",fontsize=16,color="green",shape="box"];868[label="xy230",fontsize=16,color="green",shape="box"];869[label="xy2600",fontsize=16,color="green",shape="box"];870[label="xy230",fontsize=16,color="green",shape="box"];871[label="xy2600",fontsize=16,color="green",shape="box"];872[label="xy230",fontsize=16,color="green",shape="box"];873[label="xy2600",fontsize=16,color="green",shape="box"];874[label="xy230",fontsize=16,color="green",shape="box"];875[label="xy2600",fontsize=16,color="green",shape="box"];876[label="xy230",fontsize=16,color="green",shape="box"];877[label="xy2600",fontsize=16,color="green",shape="box"];878[label="xy230",fontsize=16,color="green",shape="box"];879[label="xy2600",fontsize=16,color="green",shape="box"];880[label="xy230",fontsize=16,color="green",shape="box"];881[label="xy2600",fontsize=16,color="green",shape="box"];882[label="xy230",fontsize=16,color="green",shape="box"];883[label="xy2600",fontsize=16,color="green",shape="box"];884[label="xy230",fontsize=16,color="green",shape="box"];885[label="xy2600",fontsize=16,color="green",shape="box"];886[label="xy230",fontsize=16,color="green",shape="box"];887 -> 549[label="",style="dashed", color="red", weight=0]; 887[label="xy231 == xy2601",fontsize=16,color="magenta"];887 -> 981[label="",style="dashed", color="magenta", weight=3]; 887 -> 982[label="",style="dashed", color="magenta", weight=3]; 888 -> 558[label="",style="dashed", color="red", weight=0]; 888[label="xy231 == xy2601",fontsize=16,color="magenta"];888 -> 983[label="",style="dashed", color="magenta", weight=3]; 888 -> 984[label="",style="dashed", color="magenta", weight=3]; 889 -> 549[label="",style="dashed", color="red", weight=0]; 889[label="xy230 == xy2600",fontsize=16,color="magenta"];889 -> 985[label="",style="dashed", color="magenta", weight=3]; 889 -> 986[label="",style="dashed", color="magenta", weight=3]; 890 -> 558[label="",style="dashed", color="red", weight=0]; 890[label="xy230 == xy2600",fontsize=16,color="magenta"];890 -> 987[label="",style="dashed", color="magenta", weight=3]; 890 -> 988[label="",style="dashed", color="magenta", weight=3]; 891[label="xy232 == xy2602",fontsize=16,color="blue",shape="box"];1452[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];891 -> 1452[label="",style="solid", color="blue", weight=9]; 1452 -> 989[label="",style="solid", color="blue", weight=3]; 1453[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];891 -> 1453[label="",style="solid", color="blue", weight=9]; 1453 -> 990[label="",style="solid", color="blue", weight=3]; 1454[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];891 -> 1454[label="",style="solid", color="blue", weight=9]; 1454 -> 991[label="",style="solid", color="blue", weight=3]; 1455[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];891 -> 1455[label="",style="solid", color="blue", weight=9]; 1455 -> 992[label="",style="solid", color="blue", weight=3]; 1456[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];891 -> 1456[label="",style="solid", color="blue", weight=9]; 1456 -> 993[label="",style="solid", color="blue", weight=3]; 1457[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];891 -> 1457[label="",style="solid", color="blue", weight=9]; 1457 -> 994[label="",style="solid", color="blue", weight=3]; 1458[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];891 -> 1458[label="",style="solid", color="blue", weight=9]; 1458 -> 995[label="",style="solid", color="blue", weight=3]; 1459[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];891 -> 1459[label="",style="solid", color="blue", weight=9]; 1459 -> 996[label="",style="solid", color="blue", weight=3]; 1460[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];891 -> 1460[label="",style="solid", color="blue", weight=9]; 1460 -> 997[label="",style="solid", color="blue", weight=3]; 1461[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];891 -> 1461[label="",style="solid", color="blue", weight=9]; 1461 -> 998[label="",style="solid", color="blue", weight=3]; 1462[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];891 -> 1462[label="",style="solid", color="blue", weight=9]; 1462 -> 999[label="",style="solid", color="blue", weight=3]; 1463[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];891 -> 1463[label="",style="solid", color="blue", weight=9]; 1463 -> 1000[label="",style="solid", color="blue", weight=3]; 1464[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];891 -> 1464[label="",style="solid", color="blue", weight=9]; 1464 -> 1001[label="",style="solid", color="blue", weight=3]; 1465[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];891 -> 1465[label="",style="solid", color="blue", weight=9]; 1465 -> 1002[label="",style="solid", color="blue", weight=3]; 892[label="xy231 == xy2601",fontsize=16,color="blue",shape="box"];1466[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];892 -> 1466[label="",style="solid", color="blue", weight=9]; 1466 -> 1003[label="",style="solid", color="blue", weight=3]; 1467[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];892 -> 1467[label="",style="solid", color="blue", weight=9]; 1467 -> 1004[label="",style="solid", color="blue", weight=3]; 1468[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];892 -> 1468[label="",style="solid", color="blue", weight=9]; 1468 -> 1005[label="",style="solid", color="blue", weight=3]; 1469[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];892 -> 1469[label="",style="solid", color="blue", weight=9]; 1469 -> 1006[label="",style="solid", color="blue", weight=3]; 1470[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];892 -> 1470[label="",style="solid", color="blue", weight=9]; 1470 -> 1007[label="",style="solid", color="blue", weight=3]; 1471[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];892 -> 1471[label="",style="solid", color="blue", weight=9]; 1471 -> 1008[label="",style="solid", color="blue", weight=3]; 1472[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];892 -> 1472[label="",style="solid", color="blue", weight=9]; 1472 -> 1009[label="",style="solid", color="blue", weight=3]; 1473[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];892 -> 1473[label="",style="solid", color="blue", weight=9]; 1473 -> 1010[label="",style="solid", color="blue", weight=3]; 1474[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];892 -> 1474[label="",style="solid", color="blue", weight=9]; 1474 -> 1011[label="",style="solid", color="blue", weight=3]; 1475[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];892 -> 1475[label="",style="solid", color="blue", weight=9]; 1475 -> 1012[label="",style="solid", color="blue", weight=3]; 1476[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];892 -> 1476[label="",style="solid", color="blue", weight=9]; 1476 -> 1013[label="",style="solid", color="blue", weight=3]; 1477[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];892 -> 1477[label="",style="solid", color="blue", weight=9]; 1477 -> 1014[label="",style="solid", color="blue", weight=3]; 1478[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];892 -> 1478[label="",style="solid", color="blue", weight=9]; 1478 -> 1015[label="",style="solid", color="blue", weight=3]; 1479[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];892 -> 1479[label="",style="solid", color="blue", weight=9]; 1479 -> 1016[label="",style="solid", color="blue", weight=3]; 893 -> 549[label="",style="dashed", color="red", weight=0]; 893[label="xy230 == xy2600",fontsize=16,color="magenta"];893 -> 1017[label="",style="dashed", color="magenta", weight=3]; 893 -> 1018[label="",style="dashed", color="magenta", weight=3]; 894 -> 550[label="",style="dashed", color="red", weight=0]; 894[label="xy230 == xy2600",fontsize=16,color="magenta"];894 -> 1019[label="",style="dashed", color="magenta", weight=3]; 894 -> 1020[label="",style="dashed", color="magenta", weight=3]; 895 -> 551[label="",style="dashed", color="red", weight=0]; 895[label="xy230 == xy2600",fontsize=16,color="magenta"];895 -> 1021[label="",style="dashed", color="magenta", weight=3]; 895 -> 1022[label="",style="dashed", color="magenta", weight=3]; 896 -> 552[label="",style="dashed", color="red", weight=0]; 896[label="xy230 == xy2600",fontsize=16,color="magenta"];896 -> 1023[label="",style="dashed", color="magenta", weight=3]; 896 -> 1024[label="",style="dashed", color="magenta", weight=3]; 897 -> 553[label="",style="dashed", color="red", weight=0]; 897[label="xy230 == xy2600",fontsize=16,color="magenta"];897 -> 1025[label="",style="dashed", color="magenta", weight=3]; 897 -> 1026[label="",style="dashed", color="magenta", weight=3]; 898 -> 554[label="",style="dashed", color="red", weight=0]; 898[label="xy230 == xy2600",fontsize=16,color="magenta"];898 -> 1027[label="",style="dashed", color="magenta", weight=3]; 898 -> 1028[label="",style="dashed", color="magenta", weight=3]; 899 -> 555[label="",style="dashed", color="red", weight=0]; 899[label="xy230 == xy2600",fontsize=16,color="magenta"];899 -> 1029[label="",style="dashed", color="magenta", weight=3]; 899 -> 1030[label="",style="dashed", color="magenta", weight=3]; 900 -> 556[label="",style="dashed", color="red", weight=0]; 900[label="xy230 == xy2600",fontsize=16,color="magenta"];900 -> 1031[label="",style="dashed", color="magenta", weight=3]; 900 -> 1032[label="",style="dashed", color="magenta", weight=3]; 901 -> 557[label="",style="dashed", color="red", weight=0]; 901[label="xy230 == xy2600",fontsize=16,color="magenta"];901 -> 1033[label="",style="dashed", color="magenta", weight=3]; 901 -> 1034[label="",style="dashed", color="magenta", weight=3]; 902 -> 558[label="",style="dashed", color="red", weight=0]; 902[label="xy230 == xy2600",fontsize=16,color="magenta"];902 -> 1035[label="",style="dashed", color="magenta", weight=3]; 902 -> 1036[label="",style="dashed", color="magenta", weight=3]; 903 -> 559[label="",style="dashed", color="red", weight=0]; 903[label="xy230 == xy2600",fontsize=16,color="magenta"];903 -> 1037[label="",style="dashed", color="magenta", weight=3]; 903 -> 1038[label="",style="dashed", color="magenta", weight=3]; 904 -> 560[label="",style="dashed", color="red", weight=0]; 904[label="xy230 == xy2600",fontsize=16,color="magenta"];904 -> 1039[label="",style="dashed", color="magenta", weight=3]; 904 -> 1040[label="",style="dashed", color="magenta", weight=3]; 905 -> 561[label="",style="dashed", color="red", weight=0]; 905[label="xy230 == xy2600",fontsize=16,color="magenta"];905 -> 1041[label="",style="dashed", color="magenta", weight=3]; 905 -> 1042[label="",style="dashed", color="magenta", weight=3]; 906 -> 562[label="",style="dashed", color="red", weight=0]; 906[label="xy230 == xy2600",fontsize=16,color="magenta"];906 -> 1043[label="",style="dashed", color="magenta", weight=3]; 906 -> 1044[label="",style="dashed", color="magenta", weight=3]; 907[label="primEqNat (Succ xy2300) xy2600",fontsize=16,color="burlywood",shape="box"];1480[label="xy2600/Succ xy26000",fontsize=10,color="white",style="solid",shape="box"];907 -> 1480[label="",style="solid", color="burlywood", weight=9]; 1480 -> 1045[label="",style="solid", color="burlywood", weight=3]; 1481[label="xy2600/Zero",fontsize=10,color="white",style="solid",shape="box"];907 -> 1481[label="",style="solid", color="burlywood", weight=9]; 1481 -> 1046[label="",style="solid", color="burlywood", weight=3]; 908[label="primEqNat Zero xy2600",fontsize=16,color="burlywood",shape="box"];1482[label="xy2600/Succ xy26000",fontsize=10,color="white",style="solid",shape="box"];908 -> 1482[label="",style="solid", color="burlywood", weight=9]; 1482 -> 1047[label="",style="solid", color="burlywood", weight=3]; 1483[label="xy2600/Zero",fontsize=10,color="white",style="solid",shape="box"];908 -> 1483[label="",style="solid", color="burlywood", weight=9]; 1483 -> 1048[label="",style="solid", color="burlywood", weight=3]; 909 -> 549[label="",style="dashed", color="red", weight=0]; 909[label="xy231 == xy2601",fontsize=16,color="magenta"];909 -> 1049[label="",style="dashed", color="magenta", weight=3]; 909 -> 1050[label="",style="dashed", color="magenta", weight=3]; 910 -> 550[label="",style="dashed", color="red", weight=0]; 910[label="xy231 == xy2601",fontsize=16,color="magenta"];910 -> 1051[label="",style="dashed", color="magenta", weight=3]; 910 -> 1052[label="",style="dashed", color="magenta", weight=3]; 911 -> 551[label="",style="dashed", color="red", weight=0]; 911[label="xy231 == xy2601",fontsize=16,color="magenta"];911 -> 1053[label="",style="dashed", color="magenta", weight=3]; 911 -> 1054[label="",style="dashed", color="magenta", weight=3]; 912 -> 552[label="",style="dashed", color="red", weight=0]; 912[label="xy231 == xy2601",fontsize=16,color="magenta"];912 -> 1055[label="",style="dashed", color="magenta", weight=3]; 912 -> 1056[label="",style="dashed", color="magenta", weight=3]; 913 -> 553[label="",style="dashed", color="red", weight=0]; 913[label="xy231 == xy2601",fontsize=16,color="magenta"];913 -> 1057[label="",style="dashed", color="magenta", weight=3]; 913 -> 1058[label="",style="dashed", color="magenta", weight=3]; 914 -> 554[label="",style="dashed", color="red", weight=0]; 914[label="xy231 == xy2601",fontsize=16,color="magenta"];914 -> 1059[label="",style="dashed", color="magenta", weight=3]; 914 -> 1060[label="",style="dashed", color="magenta", weight=3]; 915 -> 555[label="",style="dashed", color="red", weight=0]; 915[label="xy231 == xy2601",fontsize=16,color="magenta"];915 -> 1061[label="",style="dashed", color="magenta", weight=3]; 915 -> 1062[label="",style="dashed", color="magenta", weight=3]; 916 -> 556[label="",style="dashed", color="red", weight=0]; 916[label="xy231 == xy2601",fontsize=16,color="magenta"];916 -> 1063[label="",style="dashed", color="magenta", weight=3]; 916 -> 1064[label="",style="dashed", color="magenta", weight=3]; 917 -> 557[label="",style="dashed", color="red", weight=0]; 917[label="xy231 == xy2601",fontsize=16,color="magenta"];917 -> 1065[label="",style="dashed", color="magenta", weight=3]; 917 -> 1066[label="",style="dashed", color="magenta", weight=3]; 918 -> 558[label="",style="dashed", color="red", weight=0]; 918[label="xy231 == xy2601",fontsize=16,color="magenta"];918 -> 1067[label="",style="dashed", color="magenta", weight=3]; 918 -> 1068[label="",style="dashed", color="magenta", weight=3]; 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923[label="xy230 == xy2600",fontsize=16,color="magenta"];923 -> 1077[label="",style="dashed", color="magenta", weight=3]; 923 -> 1078[label="",style="dashed", color="magenta", weight=3]; 924 -> 550[label="",style="dashed", color="red", weight=0]; 924[label="xy230 == xy2600",fontsize=16,color="magenta"];924 -> 1079[label="",style="dashed", color="magenta", weight=3]; 924 -> 1080[label="",style="dashed", color="magenta", weight=3]; 925 -> 551[label="",style="dashed", color="red", weight=0]; 925[label="xy230 == xy2600",fontsize=16,color="magenta"];925 -> 1081[label="",style="dashed", color="magenta", weight=3]; 925 -> 1082[label="",style="dashed", color="magenta", weight=3]; 926 -> 552[label="",style="dashed", color="red", weight=0]; 926[label="xy230 == xy2600",fontsize=16,color="magenta"];926 -> 1083[label="",style="dashed", color="magenta", weight=3]; 926 -> 1084[label="",style="dashed", color="magenta", weight=3]; 927 -> 553[label="",style="dashed", color="red", weight=0]; 927[label="xy230 == xy2600",fontsize=16,color="magenta"];927 -> 1085[label="",style="dashed", color="magenta", weight=3]; 927 -> 1086[label="",style="dashed", color="magenta", weight=3]; 928 -> 554[label="",style="dashed", color="red", weight=0]; 928[label="xy230 == xy2600",fontsize=16,color="magenta"];928 -> 1087[label="",style="dashed", color="magenta", weight=3]; 928 -> 1088[label="",style="dashed", color="magenta", weight=3]; 929 -> 555[label="",style="dashed", color="red", weight=0]; 929[label="xy230 == xy2600",fontsize=16,color="magenta"];929 -> 1089[label="",style="dashed", color="magenta", weight=3]; 929 -> 1090[label="",style="dashed", color="magenta", weight=3]; 930 -> 556[label="",style="dashed", color="red", weight=0]; 930[label="xy230 == xy2600",fontsize=16,color="magenta"];930 -> 1091[label="",style="dashed", color="magenta", weight=3]; 930 -> 1092[label="",style="dashed", color="magenta", weight=3]; 931 -> 557[label="",style="dashed", color="red", weight=0]; 931[label="xy230 == xy2600",fontsize=16,color="magenta"];931 -> 1093[label="",style="dashed", color="magenta", weight=3]; 931 -> 1094[label="",style="dashed", color="magenta", weight=3]; 932 -> 558[label="",style="dashed", color="red", weight=0]; 932[label="xy230 == xy2600",fontsize=16,color="magenta"];932 -> 1095[label="",style="dashed", color="magenta", weight=3]; 932 -> 1096[label="",style="dashed", color="magenta", weight=3]; 933 -> 559[label="",style="dashed", color="red", weight=0]; 933[label="xy230 == xy2600",fontsize=16,color="magenta"];933 -> 1097[label="",style="dashed", color="magenta", weight=3]; 933 -> 1098[label="",style="dashed", color="magenta", weight=3]; 934 -> 560[label="",style="dashed", color="red", weight=0]; 934[label="xy230 == xy2600",fontsize=16,color="magenta"];934 -> 1099[label="",style="dashed", color="magenta", weight=3]; 934 -> 1100[label="",style="dashed", color="magenta", weight=3]; 935 -> 561[label="",style="dashed", color="red", weight=0]; 935[label="xy230 == xy2600",fontsize=16,color="magenta"];935 -> 1101[label="",style="dashed", color="magenta", weight=3]; 935 -> 1102[label="",style="dashed", color="magenta", weight=3]; 936 -> 562[label="",style="dashed", color="red", weight=0]; 936[label="xy230 == xy2600",fontsize=16,color="magenta"];936 -> 1103[label="",style="dashed", color="magenta", weight=3]; 936 -> 1104[label="",style="dashed", color="magenta", weight=3]; 937[label="xy231 * xy2600",fontsize=16,color="black",shape="triangle"];937 -> 1105[label="",style="solid", color="black", weight=3]; 938 -> 937[label="",style="dashed", color="red", weight=0]; 938[label="xy230 * xy2601",fontsize=16,color="magenta"];938 -> 1106[label="",style="dashed", color="magenta", weight=3]; 938 -> 1107[label="",style="dashed", color="magenta", weight=3]; 939 -> 937[label="",style="dashed", color="red", weight=0]; 939[label="xy231 * xy2600",fontsize=16,color="magenta"];939 -> 1108[label="",style="dashed", color="magenta", weight=3]; 939 -> 1109[label="",style="dashed", color="magenta", weight=3]; 940 -> 937[label="",style="dashed", color="red", weight=0]; 940[label="xy230 * xy2601",fontsize=16,color="magenta"];940 -> 1110[label="",style="dashed", color="magenta", weight=3]; 940 -> 1111[label="",style="dashed", color="magenta", weight=3]; 941 -> 738[label="",style="dashed", color="red", weight=0]; 941[label="primEqNat xy2300 xy26000",fontsize=16,color="magenta"];941 -> 1112[label="",style="dashed", color="magenta", weight=3]; 941 -> 1113[label="",style="dashed", color="magenta", weight=3]; 942[label="False",fontsize=16,color="green",shape="box"];943[label="False",fontsize=16,color="green",shape="box"];944[label="True",fontsize=16,color="green",shape="box"];945[label="False",fontsize=16,color="green",shape="box"];946[label="True",fontsize=16,color="green",shape="box"];947 -> 738[label="",style="dashed", color="red", weight=0]; 947[label="primEqNat xy2300 xy26000",fontsize=16,color="magenta"];947 -> 1114[label="",style="dashed", color="magenta", weight=3]; 947 -> 1115[label="",style="dashed", color="magenta", weight=3]; 948[label="False",fontsize=16,color="green",shape="box"];949[label="False",fontsize=16,color="green",shape="box"];950[label="True",fontsize=16,color="green",shape="box"];951[label="False",fontsize=16,color="green",shape="box"];952[label="True",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[label="xy2600",fontsize=16,color="green",shape="box"];976[label="xy230",fontsize=16,color="green",shape="box"];977[label="xy2600",fontsize=16,color="green",shape="box"];978[label="xy230",fontsize=16,color="green",shape="box"];979[label="xy2600",fontsize=16,color="green",shape="box"];980[label="xy230",fontsize=16,color="green",shape="box"];981[label="xy2601",fontsize=16,color="green",shape="box"];982[label="xy231",fontsize=16,color="green",shape="box"];983[label="xy2601",fontsize=16,color="green",shape="box"];984[label="xy231",fontsize=16,color="green",shape="box"];985[label="xy2600",fontsize=16,color="green",shape="box"];986[label="xy230",fontsize=16,color="green",shape="box"];987[label="xy2600",fontsize=16,color="green",shape="box"];988[label="xy230",fontsize=16,color="green",shape="box"];989 -> 549[label="",style="dashed", color="red", weight=0]; 989[label="xy232 == xy2602",fontsize=16,color="magenta"];989 -> 1116[label="",style="dashed", color="magenta", weight=3]; 989 -> 1117[label="",style="dashed", color="magenta", weight=3]; 990 -> 550[label="",style="dashed", color="red", weight=0]; 990[label="xy232 == xy2602",fontsize=16,color="magenta"];990 -> 1118[label="",style="dashed", color="magenta", weight=3]; 990 -> 1119[label="",style="dashed", color="magenta", weight=3]; 991 -> 551[label="",style="dashed", color="red", weight=0]; 991[label="xy232 == xy2602",fontsize=16,color="magenta"];991 -> 1120[label="",style="dashed", color="magenta", weight=3]; 991 -> 1121[label="",style="dashed", color="magenta", weight=3]; 992 -> 552[label="",style="dashed", color="red", weight=0]; 992[label="xy232 == xy2602",fontsize=16,color="magenta"];992 -> 1122[label="",style="dashed", color="magenta", weight=3]; 992 -> 1123[label="",style="dashed", color="magenta", weight=3]; 993 -> 553[label="",style="dashed", color="red", weight=0]; 993[label="xy232 == xy2602",fontsize=16,color="magenta"];993 -> 1124[label="",style="dashed", color="magenta", weight=3]; 993 -> 1125[label="",style="dashed", color="magenta", weight=3]; 994 -> 554[label="",style="dashed", color="red", weight=0]; 994[label="xy232 == xy2602",fontsize=16,color="magenta"];994 -> 1126[label="",style="dashed", color="magenta", weight=3]; 994 -> 1127[label="",style="dashed", color="magenta", weight=3]; 995 -> 555[label="",style="dashed", color="red", weight=0]; 995[label="xy232 == xy2602",fontsize=16,color="magenta"];995 -> 1128[label="",style="dashed", color="magenta", weight=3]; 995 -> 1129[label="",style="dashed", color="magenta", weight=3]; 996 -> 556[label="",style="dashed", color="red", weight=0]; 996[label="xy232 == xy2602",fontsize=16,color="magenta"];996 -> 1130[label="",style="dashed", color="magenta", weight=3]; 996 -> 1131[label="",style="dashed", color="magenta", weight=3]; 997 -> 557[label="",style="dashed", color="red", weight=0]; 997[label="xy232 == xy2602",fontsize=16,color="magenta"];997 -> 1132[label="",style="dashed", color="magenta", weight=3]; 997 -> 1133[label="",style="dashed", color="magenta", weight=3]; 998 -> 558[label="",style="dashed", color="red", weight=0]; 998[label="xy232 == xy2602",fontsize=16,color="magenta"];998 -> 1134[label="",style="dashed", color="magenta", weight=3]; 998 -> 1135[label="",style="dashed", color="magenta", weight=3]; 999 -> 559[label="",style="dashed", color="red", weight=0]; 999[label="xy232 == xy2602",fontsize=16,color="magenta"];999 -> 1136[label="",style="dashed", color="magenta", weight=3]; 999 -> 1137[label="",style="dashed", color="magenta", weight=3]; 1000 -> 560[label="",style="dashed", color="red", weight=0]; 1000[label="xy232 == xy2602",fontsize=16,color="magenta"];1000 -> 1138[label="",style="dashed", color="magenta", weight=3]; 1000 -> 1139[label="",style="dashed", color="magenta", weight=3]; 1001 -> 561[label="",style="dashed", color="red", weight=0]; 1001[label="xy232 == xy2602",fontsize=16,color="magenta"];1001 -> 1140[label="",style="dashed", color="magenta", weight=3]; 1001 -> 1141[label="",style="dashed", color="magenta", weight=3]; 1002 -> 562[label="",style="dashed", color="red", weight=0]; 1002[label="xy232 == xy2602",fontsize=16,color="magenta"];1002 -> 1142[label="",style="dashed", color="magenta", weight=3]; 1002 -> 1143[label="",style="dashed", color="magenta", weight=3]; 1003 -> 549[label="",style="dashed", color="red", weight=0]; 1003[label="xy231 == xy2601",fontsize=16,color="magenta"];1003 -> 1144[label="",style="dashed", color="magenta", weight=3]; 1003 -> 1145[label="",style="dashed", color="magenta", weight=3]; 1004 -> 550[label="",style="dashed", color="red", weight=0]; 1004[label="xy231 == xy2601",fontsize=16,color="magenta"];1004 -> 1146[label="",style="dashed", color="magenta", weight=3]; 1004 -> 1147[label="",style="dashed", color="magenta", weight=3]; 1005 -> 551[label="",style="dashed", color="red", weight=0]; 1005[label="xy231 == xy2601",fontsize=16,color="magenta"];1005 -> 1148[label="",style="dashed", color="magenta", weight=3]; 1005 -> 1149[label="",style="dashed", color="magenta", weight=3]; 1006 -> 552[label="",style="dashed", color="red", weight=0]; 1006[label="xy231 == xy2601",fontsize=16,color="magenta"];1006 -> 1150[label="",style="dashed", color="magenta", weight=3]; 1006 -> 1151[label="",style="dashed", color="magenta", weight=3]; 1007 -> 553[label="",style="dashed", color="red", weight=0]; 1007[label="xy231 == xy2601",fontsize=16,color="magenta"];1007 -> 1152[label="",style="dashed", color="magenta", weight=3]; 1007 -> 1153[label="",style="dashed", color="magenta", weight=3]; 1008 -> 554[label="",style="dashed", color="red", weight=0]; 1008[label="xy231 == xy2601",fontsize=16,color="magenta"];1008 -> 1154[label="",style="dashed", color="magenta", weight=3]; 1008 -> 1155[label="",style="dashed", color="magenta", weight=3]; 1009 -> 555[label="",style="dashed", color="red", weight=0]; 1009[label="xy231 == xy2601",fontsize=16,color="magenta"];1009 -> 1156[label="",style="dashed", color="magenta", weight=3]; 1009 -> 1157[label="",style="dashed", color="magenta", weight=3]; 1010 -> 556[label="",style="dashed", color="red", weight=0]; 1010[label="xy231 == xy2601",fontsize=16,color="magenta"];1010 -> 1158[label="",style="dashed", color="magenta", weight=3]; 1010 -> 1159[label="",style="dashed", color="magenta", weight=3]; 1011 -> 557[label="",style="dashed", color="red", weight=0]; 1011[label="xy231 == xy2601",fontsize=16,color="magenta"];1011 -> 1160[label="",style="dashed", color="magenta", weight=3]; 1011 -> 1161[label="",style="dashed", color="magenta", weight=3]; 1012 -> 558[label="",style="dashed", color="red", weight=0]; 1012[label="xy231 == xy2601",fontsize=16,color="magenta"];1012 -> 1162[label="",style="dashed", color="magenta", weight=3]; 1012 -> 1163[label="",style="dashed", color="magenta", weight=3]; 1013 -> 559[label="",style="dashed", color="red", weight=0]; 1013[label="xy231 == xy2601",fontsize=16,color="magenta"];1013 -> 1164[label="",style="dashed", color="magenta", weight=3]; 1013 -> 1165[label="",style="dashed", color="magenta", weight=3]; 1014 -> 560[label="",style="dashed", color="red", weight=0]; 1014[label="xy231 == xy2601",fontsize=16,color="magenta"];1014 -> 1166[label="",style="dashed", color="magenta", weight=3]; 1014 -> 1167[label="",style="dashed", color="magenta", weight=3]; 1015 -> 561[label="",style="dashed", color="red", weight=0]; 1015[label="xy231 == xy2601",fontsize=16,color="magenta"];1015 -> 1168[label="",style="dashed", color="magenta", weight=3]; 1015 -> 1169[label="",style="dashed", color="magenta", weight=3]; 1016 -> 562[label="",style="dashed", color="red", weight=0]; 1016[label="xy231 == xy2601",fontsize=16,color="magenta"];1016 -> 1170[label="",style="dashed", color="magenta", weight=3]; 1016 -> 1171[label="",style="dashed", color="magenta", weight=3]; 1017[label="xy2600",fontsize=16,color="green",shape="box"];1018[label="xy230",fontsize=16,color="green",shape="box"];1019[label="xy2600",fontsize=16,color="green",shape="box"];1020[label="xy230",fontsize=16,color="green",shape="box"];1021[label="xy2600",fontsize=16,color="green",shape="box"];1022[label="xy230",fontsize=16,color="green",shape="box"];1023[label="xy2600",fontsize=16,color="green",shape="box"];1024[label="xy230",fontsize=16,color="green",shape="box"];1025[label="xy2600",fontsize=16,color="green",shape="box"];1026[label="xy230",fontsize=16,color="green",shape="box"];1027[label="xy2600",fontsize=16,color="green",shape="box"];1028[label="xy230",fontsize=16,color="green",shape="box"];1029[label="xy2600",fontsize=16,color="green",shape="box"];1030[label="xy230",fontsize=16,color="green",shape="box"];1031[label="xy2600",fontsize=16,color="green",shape="box"];1032[label="xy230",fontsize=16,color="green",shape="box"];1033[label="xy2600",fontsize=16,color="green",shape="box"];1034[label="xy230",fontsize=16,color="green",shape="box"];1035[label="xy2600",fontsize=16,color="green",shape="box"];1036[label="xy230",fontsize=16,color="green",shape="box"];1037[label="xy2600",fontsize=16,color="green",shape="box"];1038[label="xy230",fontsize=16,color="green",shape="box"];1039[label="xy2600",fontsize=16,color="green",shape="box"];1040[label="xy230",fontsize=16,color="green",shape="box"];1041[label="xy2600",fontsize=16,color="green",shape="box"];1042[label="xy230",fontsize=16,color="green",shape="box"];1043[label="xy2600",fontsize=16,color="green",shape="box"];1044[label="xy230",fontsize=16,color="green",shape="box"];1045[label="primEqNat (Succ xy2300) (Succ xy26000)",fontsize=16,color="black",shape="box"];1045 -> 1172[label="",style="solid", color="black", weight=3]; 1046[label="primEqNat (Succ xy2300) Zero",fontsize=16,color="black",shape="box"];1046 -> 1173[label="",style="solid", color="black", weight=3]; 1047[label="primEqNat Zero (Succ xy26000)",fontsize=16,color="black",shape="box"];1047 -> 1174[label="",style="solid", color="black", weight=3]; 1048[label="primEqNat Zero Zero",fontsize=16,color="black",shape="box"];1048 -> 1175[label="",style="solid", color="black", weight=3]; 1049[label="xy2601",fontsize=16,color="green",shape="box"];1050[label="xy231",fontsize=16,color="green",shape="box"];1051[label="xy2601",fontsize=16,color="green",shape="box"];1052[label="xy231",fontsize=16,color="green",shape="box"];1053[label="xy2601",fontsize=16,color="green",shape="box"];1054[label="xy231",fontsize=16,color="green",shape="box"];1055[label="xy2601",fontsize=16,color="green",shape="box"];1056[label="xy231",fontsize=16,color="green",shape="box"];1057[label="xy2601",fontsize=16,color="green",shape="box"];1058[label="xy231",fontsize=16,color="green",shape="box"];1059[label="xy2601",fontsize=16,color="green",shape="box"];1060[label="xy231",fontsize=16,color="green",shape="box"];1061[label="xy2601",fontsize=16,color="green",shape="box"];1062[label="xy231",fontsize=16,color="green",shape="box"];1063[label="xy2601",fontsize=16,color="green",shape="box"];1064[label="xy231",fontsize=16,color="green",shape="box"];1065[label="xy2601",fontsize=16,color="green",shape="box"];1066[label="xy231",fontsize=16,color="green",shape="box"];1067[label="xy2601",fontsize=16,color="green",shape="box"];1068[label="xy231",fontsize=16,color="green",shape="box"];1069[label="xy2601",fontsize=16,color="green",shape="box"];1070[label="xy231",fontsize=16,color="green",shape="box"];1071[label="xy2601",fontsize=16,color="green",shape="box"];1072[label="xy231",fontsize=16,color="green",shape="box"];1073[label="xy2601",fontsize=16,color="green",shape="box"];1074[label="xy231",fontsize=16,color="green",shape="box"];1075[label="xy2601",fontsize=16,color="green",shape="box"];1076[label="xy231",fontsize=16,color="green",shape="box"];1077[label="xy2600",fontsize=16,color="green",shape="box"];1078[label="xy230",fontsize=16,color="green",shape="box"];1079[label="xy2600",fontsize=16,color="green",shape="box"];1080[label="xy230",fontsize=16,color="green",shape="box"];1081[label="xy2600",fontsize=16,color="green",shape="box"];1082[label="xy230",fontsize=16,color="green",shape="box"];1083[label="xy2600",fontsize=16,color="green",shape="box"];1084[label="xy230",fontsize=16,color="green",shape="box"];1085[label="xy2600",fontsize=16,color="green",shape="box"];1086[label="xy230",fontsize=16,color="green",shape="box"];1087[label="xy2600",fontsize=16,color="green",shape="box"];1088[label="xy230",fontsize=16,color="green",shape="box"];1089[label="xy2600",fontsize=16,color="green",shape="box"];1090[label="xy230",fontsize=16,color="green",shape="box"];1091[label="xy2600",fontsize=16,color="green",shape="box"];1092[label="xy230",fontsize=16,color="green",shape="box"];1093[label="xy2600",fontsize=16,color="green",shape="box"];1094[label="xy230",fontsize=16,color="green",shape="box"];1095[label="xy2600",fontsize=16,color="green",shape="box"];1096[label="xy230",fontsize=16,color="green",shape="box"];1097[label="xy2600",fontsize=16,color="green",shape="box"];1098[label="xy230",fontsize=16,color="green",shape="box"];1099[label="xy2600",fontsize=16,color="green",shape="box"];1100[label="xy230",fontsize=16,color="green",shape="box"];1101[label="xy2600",fontsize=16,color="green",shape="box"];1102[label="xy230",fontsize=16,color="green",shape="box"];1103[label="xy2600",fontsize=16,color="green",shape="box"];1104[label="xy230",fontsize=16,color="green",shape="box"];1105[label="primMulInt xy231 xy2600",fontsize=16,color="burlywood",shape="box"];1484[label="xy231/Pos xy2310",fontsize=10,color="white",style="solid",shape="box"];1105 -> 1484[label="",style="solid", color="burlywood", weight=9]; 1484 -> 1176[label="",style="solid", color="burlywood", weight=3]; 1485[label="xy231/Neg xy2310",fontsize=10,color="white",style="solid",shape="box"];1105 -> 1485[label="",style="solid", color="burlywood", weight=9]; 1485 -> 1177[label="",style="solid", color="burlywood", weight=3]; 1106[label="xy2601",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="xy231",fontsize=16,color="green",shape="box"];1110[label="xy2601",fontsize=16,color="green",shape="box"];1111[label="xy230",fontsize=16,color="green",shape="box"];1112[label="xy26000",fontsize=16,color="green",shape="box"];1113[label="xy2300",fontsize=16,color="green",shape="box"];1114[label="xy26000",fontsize=16,color="green",shape="box"];1115[label="xy2300",fontsize=16,color="green",shape="box"];1116[label="xy2602",fontsize=16,color="green",shape="box"];1117[label="xy232",fontsize=16,color="green",shape="box"];1118[label="xy2602",fontsize=16,color="green",shape="box"];1119[label="xy232",fontsize=16,color="green",shape="box"];1120[label="xy2602",fontsize=16,color="green",shape="box"];1121[label="xy232",fontsize=16,color="green",shape="box"];1122[label="xy2602",fontsize=16,color="green",shape="box"];1123[label="xy232",fontsize=16,color="green",shape="box"];1124[label="xy2602",fontsize=16,color="green",shape="box"];1125[label="xy232",fontsize=16,color="green",shape="box"];1126[label="xy2602",fontsize=16,color="green",shape="box"];1127[label="xy232",fontsize=16,color="green",shape="box"];1128[label="xy2602",fontsize=16,color="green",shape="box"];1129[label="xy232",fontsize=16,color="green",shape="box"];1130[label="xy2602",fontsize=16,color="green",shape="box"];1131[label="xy232",fontsize=16,color="green",shape="box"];1132[label="xy2602",fontsize=16,color="green",shape="box"];1133[label="xy232",fontsize=16,color="green",shape="box"];1134[label="xy2602",fontsize=16,color="green",shape="box"];1135[label="xy232",fontsize=16,color="green",shape="box"];1136[label="xy2602",fontsize=16,color="green",shape="box"];1137[label="xy232",fontsize=16,color="green",shape="box"];1138[label="xy2602",fontsize=16,color="green",shape="box"];1139[label="xy232",fontsize=16,color="green",shape="box"];1140[label="xy2602",fontsize=16,color="green",shape="box"];1141[label="xy232",fontsize=16,color="green",shape="box"];1142[label="xy2602",fontsize=16,color="green",shape="box"];1143[label="xy232",fontsize=16,color="green",shape="box"];1144[label="xy2601",fontsize=16,color="green",shape="box"];1145[label="xy231",fontsize=16,color="green",shape="box"];1146[label="xy2601",fontsize=16,color="green",shape="box"];1147[label="xy231",fontsize=16,color="green",shape="box"];1148[label="xy2601",fontsize=16,color="green",shape="box"];1149[label="xy231",fontsize=16,color="green",shape="box"];1150[label="xy2601",fontsize=16,color="green",shape="box"];1151[label="xy231",fontsize=16,color="green",shape="box"];1152[label="xy2601",fontsize=16,color="green",shape="box"];1153[label="xy231",fontsize=16,color="green",shape="box"];1154[label="xy2601",fontsize=16,color="green",shape="box"];1155[label="xy231",fontsize=16,color="green",shape="box"];1156[label="xy2601",fontsize=16,color="green",shape="box"];1157[label="xy231",fontsize=16,color="green",shape="box"];1158[label="xy2601",fontsize=16,color="green",shape="box"];1159[label="xy231",fontsize=16,color="green",shape="box"];1160[label="xy2601",fontsize=16,color="green",shape="box"];1161[label="xy231",fontsize=16,color="green",shape="box"];1162[label="xy2601",fontsize=16,color="green",shape="box"];1163[label="xy231",fontsize=16,color="green",shape="box"];1164[label="xy2601",fontsize=16,color="green",shape="box"];1165[label="xy231",fontsize=16,color="green",shape="box"];1166[label="xy2601",fontsize=16,color="green",shape="box"];1167[label="xy231",fontsize=16,color="green",shape="box"];1168[label="xy2601",fontsize=16,color="green",shape="box"];1169[label="xy231",fontsize=16,color="green",shape="box"];1170[label="xy2601",fontsize=16,color="green",shape="box"];1171[label="xy231",fontsize=16,color="green",shape="box"];1172 -> 738[label="",style="dashed", color="red", weight=0]; 1172[label="primEqNat xy2300 xy26000",fontsize=16,color="magenta"];1172 -> 1178[label="",style="dashed", color="magenta", weight=3]; 1172 -> 1179[label="",style="dashed", color="magenta", weight=3]; 1173[label="False",fontsize=16,color="green",shape="box"];1174[label="False",fontsize=16,color="green",shape="box"];1175[label="True",fontsize=16,color="green",shape="box"];1176[label="primMulInt (Pos xy2310) xy2600",fontsize=16,color="burlywood",shape="box"];1486[label="xy2600/Pos xy26000",fontsize=10,color="white",style="solid",shape="box"];1176 -> 1486[label="",style="solid", color="burlywood", weight=9]; 1486 -> 1180[label="",style="solid", color="burlywood", weight=3]; 1487[label="xy2600/Neg xy26000",fontsize=10,color="white",style="solid",shape="box"];1176 -> 1487[label="",style="solid", color="burlywood", weight=9]; 1487 -> 1181[label="",style="solid", color="burlywood", weight=3]; 1177[label="primMulInt (Neg xy2310) xy2600",fontsize=16,color="burlywood",shape="box"];1488[label="xy2600/Pos xy26000",fontsize=10,color="white",style="solid",shape="box"];1177 -> 1488[label="",style="solid", color="burlywood", weight=9]; 1488 -> 1182[label="",style="solid", color="burlywood", weight=3]; 1489[label="xy2600/Neg xy26000",fontsize=10,color="white",style="solid",shape="box"];1177 -> 1489[label="",style="solid", color="burlywood", weight=9]; 1489 -> 1183[label="",style="solid", color="burlywood", weight=3]; 1178[label="xy26000",fontsize=16,color="green",shape="box"];1179[label="xy2300",fontsize=16,color="green",shape="box"];1180[label="primMulInt (Pos xy2310) (Pos xy26000)",fontsize=16,color="black",shape="box"];1180 -> 1184[label="",style="solid", color="black", weight=3]; 1181[label="primMulInt (Pos xy2310) (Neg xy26000)",fontsize=16,color="black",shape="box"];1181 -> 1185[label="",style="solid", color="black", weight=3]; 1182[label="primMulInt (Neg xy2310) (Pos xy26000)",fontsize=16,color="black",shape="box"];1182 -> 1186[label="",style="solid", color="black", weight=3]; 1183[label="primMulInt (Neg xy2310) (Neg xy26000)",fontsize=16,color="black",shape="box"];1183 -> 1187[label="",style="solid", color="black", weight=3]; 1184[label="Pos (primMulNat xy2310 xy26000)",fontsize=16,color="green",shape="box"];1184 -> 1188[label="",style="dashed", color="green", weight=3]; 1185[label="Neg (primMulNat xy2310 xy26000)",fontsize=16,color="green",shape="box"];1185 -> 1189[label="",style="dashed", color="green", weight=3]; 1186[label="Neg (primMulNat xy2310 xy26000)",fontsize=16,color="green",shape="box"];1186 -> 1190[label="",style="dashed", color="green", weight=3]; 1187[label="Pos (primMulNat xy2310 xy26000)",fontsize=16,color="green",shape="box"];1187 -> 1191[label="",style="dashed", color="green", weight=3]; 1188[label="primMulNat xy2310 xy26000",fontsize=16,color="burlywood",shape="triangle"];1490[label="xy2310/Succ xy23100",fontsize=10,color="white",style="solid",shape="box"];1188 -> 1490[label="",style="solid", color="burlywood", weight=9]; 1490 -> 1192[label="",style="solid", color="burlywood", weight=3]; 1491[label="xy2310/Zero",fontsize=10,color="white",style="solid",shape="box"];1188 -> 1491[label="",style="solid", color="burlywood", weight=9]; 1491 -> 1193[label="",style="solid", color="burlywood", weight=3]; 1189 -> 1188[label="",style="dashed", color="red", weight=0]; 1189[label="primMulNat xy2310 xy26000",fontsize=16,color="magenta"];1189 -> 1194[label="",style="dashed", color="magenta", weight=3]; 1190 -> 1188[label="",style="dashed", color="red", weight=0]; 1190[label="primMulNat xy2310 xy26000",fontsize=16,color="magenta"];1190 -> 1195[label="",style="dashed", color="magenta", weight=3]; 1191 -> 1188[label="",style="dashed", color="red", weight=0]; 1191[label="primMulNat xy2310 xy26000",fontsize=16,color="magenta"];1191 -> 1196[label="",style="dashed", color="magenta", weight=3]; 1191 -> 1197[label="",style="dashed", color="magenta", weight=3]; 1192[label="primMulNat (Succ xy23100) xy26000",fontsize=16,color="burlywood",shape="box"];1492[label="xy26000/Succ xy260000",fontsize=10,color="white",style="solid",shape="box"];1192 -> 1492[label="",style="solid", color="burlywood", weight=9]; 1492 -> 1198[label="",style="solid", color="burlywood", weight=3]; 1493[label="xy26000/Zero",fontsize=10,color="white",style="solid",shape="box"];1192 -> 1493[label="",style="solid", color="burlywood", weight=9]; 1493 -> 1199[label="",style="solid", color="burlywood", weight=3]; 1193[label="primMulNat Zero xy26000",fontsize=16,color="burlywood",shape="box"];1494[label="xy26000/Succ xy260000",fontsize=10,color="white",style="solid",shape="box"];1193 -> 1494[label="",style="solid", color="burlywood", weight=9]; 1494 -> 1200[label="",style="solid", color="burlywood", weight=3]; 1495[label="xy26000/Zero",fontsize=10,color="white",style="solid",shape="box"];1193 -> 1495[label="",style="solid", color="burlywood", weight=9]; 1495 -> 1201[label="",style="solid", color="burlywood", weight=3]; 1194[label="xy26000",fontsize=16,color="green",shape="box"];1195[label="xy2310",fontsize=16,color="green",shape="box"];1196[label="xy26000",fontsize=16,color="green",shape="box"];1197[label="xy2310",fontsize=16,color="green",shape="box"];1198[label="primMulNat (Succ xy23100) (Succ xy260000)",fontsize=16,color="black",shape="box"];1198 -> 1202[label="",style="solid", color="black", weight=3]; 1199[label="primMulNat (Succ xy23100) Zero",fontsize=16,color="black",shape="box"];1199 -> 1203[label="",style="solid", color="black", weight=3]; 1200[label="primMulNat Zero (Succ xy260000)",fontsize=16,color="black",shape="box"];1200 -> 1204[label="",style="solid", color="black", weight=3]; 1201[label="primMulNat Zero Zero",fontsize=16,color="black",shape="box"];1201 -> 1205[label="",style="solid", color="black", weight=3]; 1202 -> 1206[label="",style="dashed", color="red", weight=0]; 1202[label="primPlusNat (primMulNat xy23100 (Succ xy260000)) (Succ xy260000)",fontsize=16,color="magenta"];1202 -> 1207[label="",style="dashed", color="magenta", weight=3]; 1203[label="Zero",fontsize=16,color="green",shape="box"];1204[label="Zero",fontsize=16,color="green",shape="box"];1205[label="Zero",fontsize=16,color="green",shape="box"];1207 -> 1188[label="",style="dashed", color="red", weight=0]; 1207[label="primMulNat xy23100 (Succ xy260000)",fontsize=16,color="magenta"];1207 -> 1208[label="",style="dashed", color="magenta", weight=3]; 1207 -> 1209[label="",style="dashed", color="magenta", weight=3]; 1206[label="primPlusNat xy40 (Succ xy260000)",fontsize=16,color="burlywood",shape="triangle"];1496[label="xy40/Succ xy400",fontsize=10,color="white",style="solid",shape="box"];1206 -> 1496[label="",style="solid", color="burlywood", weight=9]; 1496 -> 1210[label="",style="solid", color="burlywood", weight=3]; 1497[label="xy40/Zero",fontsize=10,color="white",style="solid",shape="box"];1206 -> 1497[label="",style="solid", color="burlywood", weight=9]; 1497 -> 1211[label="",style="solid", color="burlywood", weight=3]; 1208[label="Succ xy260000",fontsize=16,color="green",shape="box"];1209[label="xy23100",fontsize=16,color="green",shape="box"];1210[label="primPlusNat (Succ xy400) (Succ xy260000)",fontsize=16,color="black",shape="box"];1210 -> 1212[label="",style="solid", color="black", weight=3]; 1211[label="primPlusNat Zero (Succ xy260000)",fontsize=16,color="black",shape="box"];1211 -> 1213[label="",style="solid", color="black", weight=3]; 1212[label="Succ (Succ (primPlusNat xy400 xy260000))",fontsize=16,color="green",shape="box"];1212 -> 1214[label="",style="dashed", color="green", weight=3]; 1213[label="Succ xy260000",fontsize=16,color="green",shape="box"];1214[label="primPlusNat xy400 xy260000",fontsize=16,color="burlywood",shape="triangle"];1498[label="xy400/Succ xy4000",fontsize=10,color="white",style="solid",shape="box"];1214 -> 1498[label="",style="solid", color="burlywood", weight=9]; 1498 -> 1215[label="",style="solid", color="burlywood", weight=3]; 1499[label="xy400/Zero",fontsize=10,color="white",style="solid",shape="box"];1214 -> 1499[label="",style="solid", color="burlywood", weight=9]; 1499 -> 1216[label="",style="solid", color="burlywood", weight=3]; 1215[label="primPlusNat (Succ xy4000) xy260000",fontsize=16,color="burlywood",shape="box"];1500[label="xy260000/Succ xy2600000",fontsize=10,color="white",style="solid",shape="box"];1215 -> 1500[label="",style="solid", color="burlywood", weight=9]; 1500 -> 1217[label="",style="solid", color="burlywood", weight=3]; 1501[label="xy260000/Zero",fontsize=10,color="white",style="solid",shape="box"];1215 -> 1501[label="",style="solid", color="burlywood", weight=9]; 1501 -> 1218[label="",style="solid", color="burlywood", weight=3]; 1216[label="primPlusNat Zero xy260000",fontsize=16,color="burlywood",shape="box"];1502[label="xy260000/Succ xy2600000",fontsize=10,color="white",style="solid",shape="box"];1216 -> 1502[label="",style="solid", color="burlywood", weight=9]; 1502 -> 1219[label="",style="solid", color="burlywood", weight=3]; 1503[label="xy260000/Zero",fontsize=10,color="white",style="solid",shape="box"];1216 -> 1503[label="",style="solid", color="burlywood", weight=9]; 1503 -> 1220[label="",style="solid", color="burlywood", weight=3]; 1217[label="primPlusNat (Succ xy4000) (Succ xy2600000)",fontsize=16,color="black",shape="box"];1217 -> 1221[label="",style="solid", color="black", weight=3]; 1218[label="primPlusNat (Succ xy4000) Zero",fontsize=16,color="black",shape="box"];1218 -> 1222[label="",style="solid", color="black", weight=3]; 1219[label="primPlusNat Zero (Succ xy2600000)",fontsize=16,color="black",shape="box"];1219 -> 1223[label="",style="solid", color="black", weight=3]; 1220[label="primPlusNat Zero Zero",fontsize=16,color="black",shape="box"];1220 -> 1224[label="",style="solid", color="black", weight=3]; 1221[label="Succ (Succ (primPlusNat xy4000 xy2600000))",fontsize=16,color="green",shape="box"];1221 -> 1225[label="",style="dashed", color="green", weight=3]; 1222[label="Succ xy4000",fontsize=16,color="green",shape="box"];1223[label="Succ xy2600000",fontsize=16,color="green",shape="box"];1224[label="Zero",fontsize=16,color="green",shape="box"];1225 -> 1214[label="",style="dashed", color="red", weight=0]; 1225[label="primPlusNat xy4000 xy2600000",fontsize=16,color="magenta"];1225 -> 1226[label="",style="dashed", color="magenta", weight=3]; 1225 -> 1227[label="",style="dashed", color="magenta", weight=3]; 1226[label="xy2600000",fontsize=16,color="green",shape="box"];1227[label="xy4000",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_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. ---------------------------------------- (17) 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)) ---------------------------------------- (18) 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. ---------------------------------------- (19) 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. ---------------------------------------- (20) 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. ---------------------------------------- (21) 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) ---------------------------------------- (22) 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. ---------------------------------------- (23) 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 ---------------------------------------- (24) YES ---------------------------------------- (25) Obligation: Q DP problem: The TRS P consists of the following rules: new_esEs0(Left(xy230), Left(xy2600), app(ty_Maybe, cg), ce) -> new_esEs1(xy230, xy2600, cg) new_esEs3(@2(xy230, xy231), @2(xy2600, xy2601), app(app(ty_Either, bdb), bdc), bdd) -> new_esEs0(xy230, xy2600, bdb, bdc) new_esEs1(Just(xy230), Just(xy2600), app(app(ty_Either, eh), fa)) -> new_esEs0(xy230, xy2600, eh, fa) new_esEs3(@2(xy230, xy231), @2(xy2600, xy2601), bbh, app(app(ty_Either, bca), bcb)) -> new_esEs0(xy231, xy2601, bca, bcb) new_esEs2(@3(xy230, xy231, xy232), @3(xy2600, xy2601, xy2602), gb, gc, app(app(ty_@2, hc), hd)) -> new_esEs3(xy232, xy2602, hc, hd) new_esEs0(Right(xy230), Right(xy2600), df, app(app(ty_Either, dg), dh)) -> new_esEs0(xy230, xy2600, dg, dh) new_esEs(:(xy230, xy231), :(xy2600, xy2601), ba) -> new_esEs(xy231, xy2601, ba) new_esEs2(@3(xy230, xy231, xy232), @3(xy2600, xy2601, xy2602), app(ty_Maybe, bbb), gc, hg) -> new_esEs1(xy230, xy2600, bbb) new_esEs(:(xy230, xy231), :(xy2600, xy2601), app(app(ty_@2, ca), cb)) -> new_esEs3(xy230, xy2600, ca, cb) new_esEs2(@3(xy230, xy231, xy232), @3(xy2600, xy2601, xy2602), gb, gc, app(ty_[], gf)) -> new_esEs(xy232, xy2602, gf) new_esEs(:(xy230, xy231), :(xy2600, xy2601), app(ty_Maybe, be)) -> new_esEs1(xy230, xy2600, be) new_esEs2(@3(xy230, xy231, xy232), @3(xy2600, xy2601, xy2602), gb, app(ty_Maybe, baa), hg) -> new_esEs1(xy231, xy2601, baa) new_esEs2(@3(xy230, xy231, xy232), @3(xy2600, xy2601, xy2602), gb, app(ty_[], hh), hg) -> new_esEs(xy231, xy2601, hh) new_esEs(:(xy230, xy231), :(xy2600, xy2601), app(ty_[], bd)) -> new_esEs(xy230, xy2600, bd) new_esEs2(@3(xy230, xy231, xy232), @3(xy2600, xy2601, xy2602), app(app(ty_@2, bbf), bbg), gc, hg) -> new_esEs3(xy230, xy2600, bbf, bbg) new_esEs2(@3(xy230, xy231, xy232), @3(xy2600, xy2601, xy2602), gb, gc, app(ty_Maybe, gg)) -> new_esEs1(xy232, xy2602, gg) new_esEs2(@3(xy230, xy231, xy232), @3(xy2600, xy2601, xy2602), gb, app(app(ty_@2, bae), baf), hg) -> new_esEs3(xy231, xy2601, bae, baf) new_esEs0(Right(xy230), Right(xy2600), df, app(ty_[], ea)) -> new_esEs(xy230, xy2600, ea) new_esEs1(Just(xy230), Just(xy2600), app(app(ty_@2, fh), ga)) -> new_esEs3(xy230, xy2600, fh, ga) new_esEs2(@3(xy230, xy231, xy232), @3(xy2600, xy2601, xy2602), app(ty_[], bba), gc, hg) -> new_esEs(xy230, xy2600, bba) new_esEs3(@2(xy230, xy231), @2(xy2600, xy2601), app(ty_Maybe, bdf), bdd) -> new_esEs1(xy230, xy2600, bdf) new_esEs0(Left(xy230), Left(xy2600), app(app(app(ty_@3, da), db), dc), ce) -> new_esEs2(xy230, xy2600, da, db, dc) new_esEs2(@3(xy230, xy231, xy232), @3(xy2600, xy2601, xy2602), gb, app(app(app(ty_@3, bab), bac), bad), hg) -> new_esEs2(xy231, xy2601, bab, bac, bad) new_esEs3(@2(xy230, xy231), @2(xy2600, xy2601), bbh, app(app(ty_@2, bch), bda)) -> new_esEs3(xy231, xy2601, bch, bda) new_esEs3(@2(xy230, xy231), @2(xy2600, xy2601), bbh, app(ty_Maybe, bcd)) -> new_esEs1(xy231, xy2601, bcd) new_esEs0(Left(xy230), Left(xy2600), app(app(ty_@2, dd), de), ce) -> new_esEs3(xy230, xy2600, dd, de) new_esEs2(@3(xy230, xy231, xy232), @3(xy2600, xy2601, xy2602), app(app(app(ty_@3, bbc), bbd), bbe), gc, hg) -> new_esEs2(xy230, xy2600, bbc, bbd, bbe) new_esEs0(Right(xy230), Right(xy2600), df, app(app(ty_@2, ef), eg)) -> new_esEs3(xy230, xy2600, ef, eg) new_esEs2(@3(xy230, xy231, xy232), @3(xy2600, xy2601, xy2602), gb, app(app(ty_Either, he), hf), hg) -> new_esEs0(xy231, xy2601, he, hf) new_esEs0(Left(xy230), Left(xy2600), app(app(ty_Either, cc), cd), ce) -> new_esEs0(xy230, xy2600, cc, cd) new_esEs2(@3(xy230, xy231, xy232), @3(xy2600, xy2601, xy2602), gb, gc, app(app(ty_Either, gd), ge)) -> new_esEs0(xy232, xy2602, gd, ge) new_esEs2(@3(xy230, xy231, xy232), @3(xy2600, xy2601, xy2602), app(app(ty_Either, bag), bah), gc, hg) -> new_esEs0(xy230, xy2600, bag, bah) new_esEs3(@2(xy230, xy231), @2(xy2600, xy2601), app(app(ty_@2, beb), bec), bdd) -> new_esEs3(xy230, xy2600, beb, bec) new_esEs3(@2(xy230, xy231), @2(xy2600, xy2601), bbh, app(ty_[], bcc)) -> new_esEs(xy231, xy2601, bcc) new_esEs3(@2(xy230, xy231), @2(xy2600, xy2601), app(app(app(ty_@3, bdg), bdh), bea), bdd) -> new_esEs2(xy230, xy2600, bdg, bdh, bea) new_esEs0(Right(xy230), Right(xy2600), df, app(ty_Maybe, eb)) -> new_esEs1(xy230, xy2600, eb) new_esEs(:(xy230, xy231), :(xy2600, xy2601), app(app(ty_Either, bb), bc)) -> new_esEs0(xy230, xy2600, bb, bc) new_esEs1(Just(xy230), Just(xy2600), app(ty_[], fb)) -> new_esEs(xy230, xy2600, fb) new_esEs3(@2(xy230, xy231), @2(xy2600, xy2601), app(ty_[], bde), bdd) -> new_esEs(xy230, xy2600, bde) new_esEs0(Right(xy230), Right(xy2600), df, app(app(app(ty_@3, ec), ed), ee)) -> new_esEs2(xy230, xy2600, ec, ed, ee) new_esEs2(@3(xy230, xy231, xy232), @3(xy2600, xy2601, xy2602), gb, gc, app(app(app(ty_@3, gh), ha), hb)) -> new_esEs2(xy232, xy2602, gh, ha, hb) new_esEs1(Just(xy230), Just(xy2600), app(ty_Maybe, fc)) -> new_esEs1(xy230, xy2600, fc) new_esEs3(@2(xy230, xy231), @2(xy2600, xy2601), bbh, app(app(app(ty_@3, bce), bcf), bcg)) -> new_esEs2(xy231, xy2601, bce, bcf, bcg) new_esEs(:(xy230, xy231), :(xy2600, xy2601), app(app(app(ty_@3, bf), bg), bh)) -> new_esEs2(xy230, xy2600, bf, bg, bh) new_esEs1(Just(xy230), Just(xy2600), app(app(app(ty_@3, fd), ff), fg)) -> new_esEs2(xy230, xy2600, fd, ff, fg) new_esEs0(Left(xy230), Left(xy2600), app(ty_[], cf), ce) -> new_esEs(xy230, xy2600, cf) 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_esEs1(Just(xy230), Just(xy2600), app(app(ty_Either, eh), fa)) -> new_esEs0(xy230, xy2600, eh, fa) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs1(Just(xy230), Just(xy2600), app(app(ty_@2, fh), ga)) -> new_esEs3(xy230, xy2600, fh, ga) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs1(Just(xy230), Just(xy2600), app(ty_Maybe, fc)) -> new_esEs1(xy230, xy2600, fc) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs1(Just(xy230), Just(xy2600), app(app(app(ty_@3, fd), ff), fg)) -> new_esEs2(xy230, xy2600, fd, ff, fg) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 *new_esEs1(Just(xy230), Just(xy2600), app(ty_[], fb)) -> new_esEs(xy230, xy2600, fb) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs(:(xy230, xy231), :(xy2600, xy2601), app(app(ty_Either, bb), bc)) -> new_esEs0(xy230, xy2600, bb, bc) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs(:(xy230, xy231), :(xy2600, xy2601), app(app(ty_@2, ca), cb)) -> new_esEs3(xy230, xy2600, ca, cb) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs(:(xy230, xy231), :(xy2600, xy2601), app(ty_Maybe, be)) -> new_esEs1(xy230, xy2600, be) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs(:(xy230, xy231), :(xy2600, xy2601), app(app(app(ty_@3, bf), bg), bh)) -> new_esEs2(xy230, xy2600, bf, bg, bh) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 *new_esEs0(Right(xy230), Right(xy2600), df, app(app(ty_Either, dg), dh)) -> new_esEs0(xy230, xy2600, dg, dh) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 *new_esEs0(Left(xy230), Left(xy2600), app(app(ty_Either, cc), cd), ce) -> new_esEs0(xy230, xy2600, cc, cd) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs3(@2(xy230, xy231), @2(xy2600, xy2601), app(app(ty_Either, bdb), bdc), bdd) -> new_esEs0(xy230, xy2600, bdb, bdc) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs3(@2(xy230, xy231), @2(xy2600, xy2601), bbh, app(app(ty_Either, bca), bcb)) -> new_esEs0(xy231, xy2601, bca, bcb) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 *new_esEs2(@3(xy230, xy231, xy232), @3(xy2600, xy2601, xy2602), gb, app(app(ty_Either, he), hf), hg) -> new_esEs0(xy231, xy2601, he, hf) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 *new_esEs2(@3(xy230, xy231, xy232), @3(xy2600, xy2601, xy2602), gb, gc, app(app(ty_Either, gd), ge)) -> new_esEs0(xy232, xy2602, gd, ge) The graph contains the following edges 1 > 1, 2 > 2, 5 > 3, 5 > 4 *new_esEs2(@3(xy230, xy231, xy232), @3(xy2600, xy2601, xy2602), app(app(ty_Either, bag), bah), gc, hg) -> new_esEs0(xy230, xy2600, bag, bah) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs0(Left(xy230), Left(xy2600), app(app(ty_@2, dd), de), ce) -> new_esEs3(xy230, xy2600, dd, de) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs0(Right(xy230), Right(xy2600), df, app(app(ty_@2, ef), eg)) -> new_esEs3(xy230, xy2600, ef, eg) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 *new_esEs0(Left(xy230), Left(xy2600), app(ty_Maybe, cg), ce) -> new_esEs1(xy230, xy2600, cg) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs0(Right(xy230), Right(xy2600), df, app(ty_Maybe, eb)) -> new_esEs1(xy230, xy2600, eb) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 *new_esEs0(Left(xy230), Left(xy2600), app(app(app(ty_@3, da), db), dc), ce) -> new_esEs2(xy230, xy2600, da, db, dc) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 *new_esEs0(Right(xy230), Right(xy2600), df, app(app(app(ty_@3, ec), ed), ee)) -> new_esEs2(xy230, xy2600, ec, ed, ee) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4, 4 > 5 *new_esEs0(Right(xy230), Right(xy2600), df, app(ty_[], ea)) -> new_esEs(xy230, xy2600, ea) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 *new_esEs0(Left(xy230), Left(xy2600), app(ty_[], cf), ce) -> new_esEs(xy230, xy2600, cf) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs3(@2(xy230, xy231), @2(xy2600, xy2601), bbh, app(app(ty_@2, bch), bda)) -> new_esEs3(xy231, xy2601, bch, bda) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 *new_esEs3(@2(xy230, xy231), @2(xy2600, xy2601), app(app(ty_@2, beb), bec), bdd) -> new_esEs3(xy230, xy2600, beb, bec) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs2(@3(xy230, xy231, xy232), @3(xy2600, xy2601, xy2602), gb, gc, app(app(ty_@2, hc), hd)) -> new_esEs3(xy232, xy2602, hc, hd) The graph contains the following edges 1 > 1, 2 > 2, 5 > 3, 5 > 4 *new_esEs2(@3(xy230, xy231, xy232), @3(xy2600, xy2601, xy2602), app(app(ty_@2, bbf), bbg), gc, hg) -> new_esEs3(xy230, xy2600, bbf, bbg) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs2(@3(xy230, xy231, xy232), @3(xy2600, xy2601, xy2602), gb, app(app(ty_@2, bae), baf), hg) -> new_esEs3(xy231, xy2601, bae, baf) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 *new_esEs3(@2(xy230, xy231), @2(xy2600, xy2601), app(ty_Maybe, bdf), bdd) -> new_esEs1(xy230, xy2600, bdf) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs3(@2(xy230, xy231), @2(xy2600, xy2601), bbh, app(ty_Maybe, bcd)) -> new_esEs1(xy231, xy2601, bcd) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 *new_esEs2(@3(xy230, xy231, xy232), @3(xy2600, xy2601, xy2602), app(ty_Maybe, bbb), gc, hg) -> new_esEs1(xy230, xy2600, bbb) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs2(@3(xy230, xy231, xy232), @3(xy2600, xy2601, xy2602), gb, app(ty_Maybe, baa), hg) -> new_esEs1(xy231, xy2601, baa) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 *new_esEs2(@3(xy230, xy231, xy232), @3(xy2600, xy2601, xy2602), gb, gc, app(ty_Maybe, gg)) -> new_esEs1(xy232, xy2602, gg) The graph contains the following edges 1 > 1, 2 > 2, 5 > 3 *new_esEs3(@2(xy230, xy231), @2(xy2600, xy2601), app(app(app(ty_@3, bdg), bdh), bea), bdd) -> new_esEs2(xy230, xy2600, bdg, bdh, bea) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 *new_esEs3(@2(xy230, xy231), @2(xy2600, xy2601), bbh, app(app(app(ty_@3, bce), bcf), bcg)) -> new_esEs2(xy231, xy2601, bce, bcf, bcg) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4, 4 > 5 *new_esEs3(@2(xy230, xy231), @2(xy2600, xy2601), bbh, app(ty_[], bcc)) -> new_esEs(xy231, xy2601, bcc) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 *new_esEs3(@2(xy230, xy231), @2(xy2600, xy2601), app(ty_[], bde), bdd) -> new_esEs(xy230, xy2600, bde) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs2(@3(xy230, xy231, xy232), @3(xy2600, xy2601, xy2602), gb, app(app(app(ty_@3, bab), bac), bad), hg) -> new_esEs2(xy231, xy2601, bab, bac, bad) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4, 4 > 5 *new_esEs2(@3(xy230, xy231, xy232), @3(xy2600, xy2601, xy2602), app(app(app(ty_@3, bbc), bbd), bbe), gc, hg) -> new_esEs2(xy230, xy2600, bbc, bbd, bbe) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 *new_esEs2(@3(xy230, xy231, xy232), @3(xy2600, xy2601, xy2602), gb, gc, app(app(app(ty_@3, gh), ha), hb)) -> new_esEs2(xy232, xy2602, gh, ha, hb) The graph contains the following edges 1 > 1, 2 > 2, 5 > 3, 5 > 4, 5 > 5 *new_esEs(:(xy230, xy231), :(xy2600, xy2601), ba) -> new_esEs(xy231, xy2601, ba) The graph contains the following edges 1 > 1, 2 > 2, 3 >= 3 *new_esEs(:(xy230, xy231), :(xy2600, xy2601), app(ty_[], bd)) -> new_esEs(xy230, xy2600, bd) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs2(@3(xy230, xy231, xy232), @3(xy2600, xy2601, xy2602), gb, gc, app(ty_[], gf)) -> new_esEs(xy232, xy2602, gf) The graph contains the following edges 1 > 1, 2 > 2, 5 > 3 *new_esEs2(@3(xy230, xy231, xy232), @3(xy2600, xy2601, xy2602), gb, app(ty_[], hh), hg) -> new_esEs(xy231, xy2601, hh) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 *new_esEs2(@3(xy230, xy231, xy232), @3(xy2600, xy2601, xy2602), app(ty_[], bba), gc, hg) -> new_esEs(xy230, xy2600, bba) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 ---------------------------------------- (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(xy4000), Succ(xy2600000)) -> new_primPlusNat(xy4000, 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(xy4000), Succ(xy2600000)) -> new_primPlusNat(xy4000, 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