/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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty H-Termination with start terms of the given HASKELL could be proven: (0) HASKELL (1) BR [EQUIVALENT, 0 ms] (2) HASKELL (3) COR [EQUIVALENT, 13 ms] (4)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, 0 ms] (27) YES (28) QDP (29) QDPSizeChangeProof [EQUIVALENT, 0 ms] (30) YES (31) QDP (32) QDPSizeChangeProof [EQUIVALENT, 0 ms] (33) YES (34) QDP (35) QDPSizeChangeProof [EQUIVALENT, 0 ms] (36) YES (37) QDP (38) QDPSizeChangeProof [EQUIVALENT, 0 ms] (39) YES ---------------------------------------- (0) Obligation: mainModule Main module Maybe where { import qualified List; import qualified Main; import qualified Prelude; } module List where { import qualified Main; import qualified Maybe; import qualified Prelude; isPrefixOf :: Eq a => [a] -> [a] -> Bool; isPrefixOf [] _ = True; isPrefixOf _ [] = False; isPrefixOf (x : xs) (y : ys) = x == y && isPrefixOf xs ys; isSuffixOf :: Eq a => [a] -> [a] -> Bool; isSuffixOf x y = reverse x `isPrefixOf` reverse y; } module Main where { import qualified List; import qualified Maybe; import qualified Prelude; } ---------------------------------------- (1) BR (EQUIVALENT) Replaced joker patterns by fresh variables and removed binding patterns. ---------------------------------------- (2) Obligation: mainModule Main module Maybe where { import qualified List; import qualified Main; import qualified Prelude; } module List where { import qualified Main; import qualified Maybe; import qualified Prelude; isPrefixOf :: Eq a => [a] -> [a] -> Bool; isPrefixOf [] xw = True; isPrefixOf xx [] = False; isPrefixOf (x : xs) (y : ys) = x == y && isPrefixOf xs ys; isSuffixOf :: Eq a => [a] -> [a] -> Bool; isSuffixOf x y = reverse x `isPrefixOf` reverse y; } module Main where { import qualified List; import qualified Maybe; import qualified Prelude; } ---------------------------------------- (3) COR (EQUIVALENT) Cond Reductions: The following Function with conditions "undefined |Falseundefined; " is transformed to "undefined = undefined1; " "undefined0 True = undefined; " "undefined1 = undefined0 False; " ---------------------------------------- (4) Obligation: mainModule Main module Maybe where { import qualified List; import qualified Main; import qualified Prelude; } module List where { import qualified Main; import qualified Maybe; import qualified Prelude; isPrefixOf :: Eq a => [a] -> [a] -> Bool; isPrefixOf [] xw = True; isPrefixOf xx [] = False; isPrefixOf (x : xs) (y : ys) = x == y && isPrefixOf xs ys; isSuffixOf :: Eq a => [a] -> [a] -> Bool; isSuffixOf x y = reverse x `isPrefixOf` reverse y; } module Main where { import qualified List; import qualified Maybe; import qualified Prelude; } ---------------------------------------- (5) Narrow (SOUND) Haskell To QDPs digraph dp_graph { node [outthreshold=100, inthreshold=100];1[label="List.isSuffixOf",fontsize=16,color="grey",shape="box"];1 -> 3[label="",style="dashed", color="grey", weight=3]; 3[label="List.isSuffixOf xy3",fontsize=16,color="grey",shape="box"];3 -> 4[label="",style="dashed", color="grey", weight=3]; 4[label="List.isSuffixOf xy3 xy4",fontsize=16,color="black",shape="triangle"];4 -> 5[label="",style="solid", color="black", weight=3]; 5[label="List.isPrefixOf (reverse xy3) (reverse xy4)",fontsize=16,color="black",shape="box"];5 -> 6[label="",style="solid", color="black", weight=3]; 6[label="List.isPrefixOf (foldl (flip (:)) [] xy3) (reverse xy4)",fontsize=16,color="burlywood",shape="box"];1274[label="xy3/xy30 : xy31",fontsize=10,color="white",style="solid",shape="box"];6 -> 1274[label="",style="solid", color="burlywood", weight=9]; 1274 -> 7[label="",style="solid", color="burlywood", weight=3]; 1275[label="xy3/[]",fontsize=10,color="white",style="solid",shape="box"];6 -> 1275[label="",style="solid", color="burlywood", weight=9]; 1275 -> 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 -> 350[label="",style="dashed", color="red", weight=0]; 9[label="List.isPrefixOf (foldl (flip (:)) (flip (:) [] xy30) xy31) (reverse xy4)",fontsize=16,color="magenta"];9 -> 351[label="",style="dashed", color="magenta", weight=3]; 9 -> 352[label="",style="dashed", color="magenta", weight=3]; 9 -> 353[label="",style="dashed", color="magenta", weight=3]; 9 -> 354[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]; 351[label="xy31",fontsize=16,color="green",shape="box"];352[label="xy30",fontsize=16,color="green",shape="box"];353[label="[]",fontsize=16,color="green",shape="box"];354[label="xy4",fontsize=16,color="green",shape="box"];350[label="List.isPrefixOf (foldl (flip (:)) (flip (:) xy33 xy34) xy35) (reverse xy36)",fontsize=16,color="burlywood",shape="triangle"];1276[label="xy35/xy350 : xy351",fontsize=10,color="white",style="solid",shape="box"];350 -> 1276[label="",style="solid", color="burlywood", weight=9]; 1276 -> 387[label="",style="solid", color="burlywood", weight=3]; 1277[label="xy35/[]",fontsize=10,color="white",style="solid",shape="box"];350 -> 1277[label="",style="solid", color="burlywood", weight=9]; 1277 -> 388[label="",style="solid", color="burlywood", weight=3]; 13[label="True",fontsize=16,color="green",shape="box"];387[label="List.isPrefixOf (foldl (flip (:)) (flip (:) xy33 xy34) (xy350 : xy351)) (reverse xy36)",fontsize=16,color="black",shape="box"];387 -> 389[label="",style="solid", color="black", weight=3]; 388[label="List.isPrefixOf (foldl (flip (:)) (flip (:) xy33 xy34) []) (reverse xy36)",fontsize=16,color="black",shape="box"];388 -> 390[label="",style="solid", color="black", weight=3]; 389 -> 350[label="",style="dashed", color="red", weight=0]; 389[label="List.isPrefixOf (foldl (flip (:)) (flip (:) (flip (:) xy33 xy34) xy350) xy351) (reverse xy36)",fontsize=16,color="magenta"];389 -> 391[label="",style="dashed", color="magenta", weight=3]; 389 -> 392[label="",style="dashed", color="magenta", weight=3]; 389 -> 393[label="",style="dashed", color="magenta", weight=3]; 390[label="List.isPrefixOf (flip (:) xy33 xy34) (reverse xy36)",fontsize=16,color="black",shape="box"];390 -> 394[label="",style="solid", color="black", weight=3]; 391[label="xy351",fontsize=16,color="green",shape="box"];392[label="xy350",fontsize=16,color="green",shape="box"];393[label="flip (:) xy33 xy34",fontsize=16,color="black",shape="triangle"];393 -> 395[label="",style="solid", color="black", weight=3]; 394[label="List.isPrefixOf ((:) xy34 xy33) (reverse xy36)",fontsize=16,color="black",shape="box"];394 -> 396[label="",style="solid", color="black", weight=3]; 395[label="(:) xy34 xy33",fontsize=16,color="green",shape="box"];396 -> 401[label="",style="dashed", color="red", weight=0]; 396[label="List.isPrefixOf ((:) xy34 xy33) (foldl (flip (:)) [] xy36)",fontsize=16,color="magenta"];396 -> 402[label="",style="dashed", color="magenta", weight=3]; 396 -> 403[label="",style="dashed", color="magenta", weight=3]; 402[label="[]",fontsize=16,color="green",shape="box"];403[label="xy36",fontsize=16,color="green",shape="box"];401[label="List.isPrefixOf ((:) xy34 xy33) (foldl (flip (:)) xy37 xy361)",fontsize=16,color="burlywood",shape="triangle"];1278[label="xy361/xy3610 : xy3611",fontsize=10,color="white",style="solid",shape="box"];401 -> 1278[label="",style="solid", color="burlywood", weight=9]; 1278 -> 405[label="",style="solid", color="burlywood", weight=3]; 1279[label="xy361/[]",fontsize=10,color="white",style="solid",shape="box"];401 -> 1279[label="",style="solid", color="burlywood", weight=9]; 1279 -> 406[label="",style="solid", color="burlywood", weight=3]; 405[label="List.isPrefixOf ((:) xy34 xy33) (foldl (flip (:)) xy37 (xy3610 : xy3611))",fontsize=16,color="black",shape="box"];405 -> 407[label="",style="solid", color="black", weight=3]; 406[label="List.isPrefixOf ((:) xy34 xy33) (foldl (flip (:)) xy37 [])",fontsize=16,color="black",shape="box"];406 -> 408[label="",style="solid", color="black", weight=3]; 407 -> 401[label="",style="dashed", color="red", weight=0]; 407[label="List.isPrefixOf ((:) xy34 xy33) (foldl (flip (:)) (flip (:) xy37 xy3610) xy3611)",fontsize=16,color="magenta"];407 -> 409[label="",style="dashed", color="magenta", weight=3]; 407 -> 410[label="",style="dashed", color="magenta", weight=3]; 408[label="List.isPrefixOf ((:) xy34 xy33) xy37",fontsize=16,color="burlywood",shape="box"];1280[label="xy37/xy370 : xy371",fontsize=10,color="white",style="solid",shape="box"];408 -> 1280[label="",style="solid", color="burlywood", weight=9]; 1280 -> 411[label="",style="solid", color="burlywood", weight=3]; 1281[label="xy37/[]",fontsize=10,color="white",style="solid",shape="box"];408 -> 1281[label="",style="solid", color="burlywood", weight=9]; 1281 -> 412[label="",style="solid", color="burlywood", weight=3]; 409 -> 393[label="",style="dashed", color="red", weight=0]; 409[label="flip (:) xy37 xy3610",fontsize=16,color="magenta"];409 -> 413[label="",style="dashed", color="magenta", weight=3]; 409 -> 414[label="",style="dashed", color="magenta", weight=3]; 410[label="xy3611",fontsize=16,color="green",shape="box"];411[label="List.isPrefixOf ((:) xy34 xy33) (xy370 : xy371)",fontsize=16,color="black",shape="box"];411 -> 415[label="",style="solid", color="black", weight=3]; 412[label="List.isPrefixOf ((:) xy34 xy33) []",fontsize=16,color="black",shape="box"];412 -> 416[label="",style="solid", color="black", weight=3]; 413[label="xy3610",fontsize=16,color="green",shape="box"];414[label="xy37",fontsize=16,color="green",shape="box"];415 -> 588[label="",style="dashed", color="red", weight=0]; 415[label="xy34 == xy370 && List.isPrefixOf xy33 xy371",fontsize=16,color="magenta"];415 -> 589[label="",style="dashed", color="magenta", weight=3]; 415 -> 590[label="",style="dashed", color="magenta", weight=3]; 416[label="False",fontsize=16,color="green",shape="box"];589[label="xy34 == xy370",fontsize=16,color="blue",shape="box"];1282[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];589 -> 1282[label="",style="solid", color="blue", weight=9]; 1282 -> 593[label="",style="solid", color="blue", weight=3]; 1283[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];589 -> 1283[label="",style="solid", color="blue", weight=9]; 1283 -> 594[label="",style="solid", color="blue", weight=3]; 1284[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];589 -> 1284[label="",style="solid", color="blue", weight=9]; 1284 -> 595[label="",style="solid", color="blue", weight=3]; 1285[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];589 -> 1285[label="",style="solid", color="blue", weight=9]; 1285 -> 596[label="",style="solid", color="blue", weight=3]; 1286[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];589 -> 1286[label="",style="solid", color="blue", weight=9]; 1286 -> 597[label="",style="solid", color="blue", weight=3]; 1287[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];589 -> 1287[label="",style="solid", color="blue", weight=9]; 1287 -> 598[label="",style="solid", color="blue", weight=3]; 1288[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];589 -> 1288[label="",style="solid", color="blue", weight=9]; 1288 -> 599[label="",style="solid", color="blue", weight=3]; 1289[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];589 -> 1289[label="",style="solid", color="blue", weight=9]; 1289 -> 600[label="",style="solid", color="blue", weight=3]; 1290[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];589 -> 1290[label="",style="solid", color="blue", weight=9]; 1290 -> 601[label="",style="solid", color="blue", weight=3]; 1291[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];589 -> 1291[label="",style="solid", color="blue", weight=9]; 1291 -> 602[label="",style="solid", color="blue", weight=3]; 1292[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];589 -> 1292[label="",style="solid", color="blue", weight=9]; 1292 -> 603[label="",style="solid", color="blue", weight=3]; 1293[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];589 -> 1293[label="",style="solid", color="blue", weight=9]; 1293 -> 604[label="",style="solid", color="blue", weight=3]; 1294[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];589 -> 1294[label="",style="solid", color="blue", weight=9]; 1294 -> 605[label="",style="solid", color="blue", weight=3]; 1295[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];589 -> 1295[label="",style="solid", color="blue", weight=9]; 1295 -> 606[label="",style="solid", color="blue", weight=3]; 590[label="List.isPrefixOf xy33 xy371",fontsize=16,color="burlywood",shape="triangle"];1296[label="xy33/xy330 : xy331",fontsize=10,color="white",style="solid",shape="box"];590 -> 1296[label="",style="solid", color="burlywood", weight=9]; 1296 -> 607[label="",style="solid", color="burlywood", weight=3]; 1297[label="xy33/[]",fontsize=10,color="white",style="solid",shape="box"];590 -> 1297[label="",style="solid", color="burlywood", weight=9]; 1297 -> 608[label="",style="solid", color="burlywood", weight=3]; 588[label="xy49 && xy50",fontsize=16,color="burlywood",shape="triangle"];1298[label="xy49/False",fontsize=10,color="white",style="solid",shape="box"];588 -> 1298[label="",style="solid", color="burlywood", weight=9]; 1298 -> 609[label="",style="solid", color="burlywood", weight=3]; 1299[label="xy49/True",fontsize=10,color="white",style="solid",shape="box"];588 -> 1299[label="",style="solid", color="burlywood", weight=9]; 1299 -> 610[label="",style="solid", color="burlywood", weight=3]; 593[label="xy34 == xy370",fontsize=16,color="black",shape="triangle"];593 -> 611[label="",style="solid", color="black", weight=3]; 594[label="xy34 == xy370",fontsize=16,color="burlywood",shape="triangle"];1300[label="xy34/Left xy340",fontsize=10,color="white",style="solid",shape="box"];594 -> 1300[label="",style="solid", color="burlywood", weight=9]; 1300 -> 612[label="",style="solid", color="burlywood", weight=3]; 1301[label="xy34/Right xy340",fontsize=10,color="white",style="solid",shape="box"];594 -> 1301[label="",style="solid", color="burlywood", weight=9]; 1301 -> 613[label="",style="solid", color="burlywood", weight=3]; 595[label="xy34 == xy370",fontsize=16,color="burlywood",shape="triangle"];1302[label="xy34/xy340 : xy341",fontsize=10,color="white",style="solid",shape="box"];595 -> 1302[label="",style="solid", color="burlywood", weight=9]; 1302 -> 614[label="",style="solid", color="burlywood", weight=3]; 1303[label="xy34/[]",fontsize=10,color="white",style="solid",shape="box"];595 -> 1303[label="",style="solid", color="burlywood", weight=9]; 1303 -> 615[label="",style="solid", color="burlywood", weight=3]; 596[label="xy34 == xy370",fontsize=16,color="burlywood",shape="triangle"];1304[label="xy34/LT",fontsize=10,color="white",style="solid",shape="box"];596 -> 1304[label="",style="solid", color="burlywood", weight=9]; 1304 -> 616[label="",style="solid", color="burlywood", weight=3]; 1305[label="xy34/EQ",fontsize=10,color="white",style="solid",shape="box"];596 -> 1305[label="",style="solid", color="burlywood", weight=9]; 1305 -> 617[label="",style="solid", color="burlywood", weight=3]; 1306[label="xy34/GT",fontsize=10,color="white",style="solid",shape="box"];596 -> 1306[label="",style="solid", color="burlywood", weight=9]; 1306 -> 618[label="",style="solid", color="burlywood", weight=3]; 597[label="xy34 == xy370",fontsize=16,color="burlywood",shape="triangle"];1307[label="xy34/Nothing",fontsize=10,color="white",style="solid",shape="box"];597 -> 1307[label="",style="solid", color="burlywood", weight=9]; 1307 -> 619[label="",style="solid", color="burlywood", weight=3]; 1308[label="xy34/Just xy340",fontsize=10,color="white",style="solid",shape="box"];597 -> 1308[label="",style="solid", color="burlywood", weight=9]; 1308 -> 620[label="",style="solid", color="burlywood", weight=3]; 598[label="xy34 == xy370",fontsize=16,color="burlywood",shape="triangle"];1309[label="xy34/xy340 :% xy341",fontsize=10,color="white",style="solid",shape="box"];598 -> 1309[label="",style="solid", color="burlywood", weight=9]; 1309 -> 621[label="",style="solid", color="burlywood", weight=3]; 599[label="xy34 == xy370",fontsize=16,color="burlywood",shape="triangle"];1310[label="xy34/False",fontsize=10,color="white",style="solid",shape="box"];599 -> 1310[label="",style="solid", color="burlywood", weight=9]; 1310 -> 622[label="",style="solid", color="burlywood", weight=3]; 1311[label="xy34/True",fontsize=10,color="white",style="solid",shape="box"];599 -> 1311[label="",style="solid", color="burlywood", weight=9]; 1311 -> 623[label="",style="solid", color="burlywood", weight=3]; 600[label="xy34 == xy370",fontsize=16,color="burlywood",shape="triangle"];1312[label="xy34/(xy340,xy341,xy342)",fontsize=10,color="white",style="solid",shape="box"];600 -> 1312[label="",style="solid", color="burlywood", weight=9]; 1312 -> 624[label="",style="solid", color="burlywood", weight=3]; 601[label="xy34 == xy370",fontsize=16,color="black",shape="triangle"];601 -> 625[label="",style="solid", color="black", weight=3]; 602[label="xy34 == xy370",fontsize=16,color="burlywood",shape="triangle"];1313[label="xy34/Integer xy340",fontsize=10,color="white",style="solid",shape="box"];602 -> 1313[label="",style="solid", color="burlywood", weight=9]; 1313 -> 626[label="",style="solid", color="burlywood", weight=3]; 603[label="xy34 == xy370",fontsize=16,color="burlywood",shape="triangle"];1314[label="xy34/(xy340,xy341)",fontsize=10,color="white",style="solid",shape="box"];603 -> 1314[label="",style="solid", color="burlywood", weight=9]; 1314 -> 627[label="",style="solid", color="burlywood", weight=3]; 604[label="xy34 == xy370",fontsize=16,color="burlywood",shape="triangle"];1315[label="xy34/()",fontsize=10,color="white",style="solid",shape="box"];604 -> 1315[label="",style="solid", color="burlywood", weight=9]; 1315 -> 628[label="",style="solid", color="burlywood", weight=3]; 605[label="xy34 == xy370",fontsize=16,color="black",shape="triangle"];605 -> 629[label="",style="solid", color="black", weight=3]; 606[label="xy34 == xy370",fontsize=16,color="black",shape="triangle"];606 -> 630[label="",style="solid", color="black", weight=3]; 607[label="List.isPrefixOf (xy330 : xy331) xy371",fontsize=16,color="burlywood",shape="box"];1316[label="xy371/xy3710 : xy3711",fontsize=10,color="white",style="solid",shape="box"];607 -> 1316[label="",style="solid", color="burlywood", weight=9]; 1316 -> 631[label="",style="solid", color="burlywood", weight=3]; 1317[label="xy371/[]",fontsize=10,color="white",style="solid",shape="box"];607 -> 1317[label="",style="solid", color="burlywood", weight=9]; 1317 -> 632[label="",style="solid", color="burlywood", weight=3]; 608[label="List.isPrefixOf [] xy371",fontsize=16,color="black",shape="box"];608 -> 633[label="",style="solid", color="black", weight=3]; 609[label="False && xy50",fontsize=16,color="black",shape="box"];609 -> 634[label="",style="solid", color="black", weight=3]; 610[label="True && xy50",fontsize=16,color="black",shape="box"];610 -> 635[label="",style="solid", color="black", weight=3]; 611[label="primEqInt xy34 xy370",fontsize=16,color="burlywood",shape="triangle"];1318[label="xy34/Pos xy340",fontsize=10,color="white",style="solid",shape="box"];611 -> 1318[label="",style="solid", color="burlywood", weight=9]; 1318 -> 636[label="",style="solid", color="burlywood", weight=3]; 1319[label="xy34/Neg xy340",fontsize=10,color="white",style="solid",shape="box"];611 -> 1319[label="",style="solid", color="burlywood", weight=9]; 1319 -> 637[label="",style="solid", color="burlywood", weight=3]; 612[label="Left xy340 == xy370",fontsize=16,color="burlywood",shape="box"];1320[label="xy370/Left xy3700",fontsize=10,color="white",style="solid",shape="box"];612 -> 1320[label="",style="solid", color="burlywood", weight=9]; 1320 -> 638[label="",style="solid", color="burlywood", weight=3]; 1321[label="xy370/Right xy3700",fontsize=10,color="white",style="solid",shape="box"];612 -> 1321[label="",style="solid", color="burlywood", weight=9]; 1321 -> 639[label="",style="solid", color="burlywood", weight=3]; 613[label="Right xy340 == xy370",fontsize=16,color="burlywood",shape="box"];1322[label="xy370/Left xy3700",fontsize=10,color="white",style="solid",shape="box"];613 -> 1322[label="",style="solid", color="burlywood", weight=9]; 1322 -> 640[label="",style="solid", color="burlywood", weight=3]; 1323[label="xy370/Right xy3700",fontsize=10,color="white",style="solid",shape="box"];613 -> 1323[label="",style="solid", color="burlywood", weight=9]; 1323 -> 641[label="",style="solid", color="burlywood", weight=3]; 614[label="xy340 : xy341 == xy370",fontsize=16,color="burlywood",shape="box"];1324[label="xy370/xy3700 : xy3701",fontsize=10,color="white",style="solid",shape="box"];614 -> 1324[label="",style="solid", color="burlywood", weight=9]; 1324 -> 642[label="",style="solid", color="burlywood", weight=3]; 1325[label="xy370/[]",fontsize=10,color="white",style="solid",shape="box"];614 -> 1325[label="",style="solid", color="burlywood", weight=9]; 1325 -> 643[label="",style="solid", color="burlywood", weight=3]; 615[label="[] == xy370",fontsize=16,color="burlywood",shape="box"];1326[label="xy370/xy3700 : xy3701",fontsize=10,color="white",style="solid",shape="box"];615 -> 1326[label="",style="solid", color="burlywood", weight=9]; 1326 -> 644[label="",style="solid", color="burlywood", weight=3]; 1327[label="xy370/[]",fontsize=10,color="white",style="solid",shape="box"];615 -> 1327[label="",style="solid", color="burlywood", weight=9]; 1327 -> 645[label="",style="solid", color="burlywood", weight=3]; 616[label="LT == xy370",fontsize=16,color="burlywood",shape="box"];1328[label="xy370/LT",fontsize=10,color="white",style="solid",shape="box"];616 -> 1328[label="",style="solid", color="burlywood", weight=9]; 1328 -> 646[label="",style="solid", color="burlywood", weight=3]; 1329[label="xy370/EQ",fontsize=10,color="white",style="solid",shape="box"];616 -> 1329[label="",style="solid", color="burlywood", weight=9]; 1329 -> 647[label="",style="solid", color="burlywood", weight=3]; 1330[label="xy370/GT",fontsize=10,color="white",style="solid",shape="box"];616 -> 1330[label="",style="solid", color="burlywood", weight=9]; 1330 -> 648[label="",style="solid", color="burlywood", weight=3]; 617[label="EQ == xy370",fontsize=16,color="burlywood",shape="box"];1331[label="xy370/LT",fontsize=10,color="white",style="solid",shape="box"];617 -> 1331[label="",style="solid", color="burlywood", weight=9]; 1331 -> 649[label="",style="solid", color="burlywood", weight=3]; 1332[label="xy370/EQ",fontsize=10,color="white",style="solid",shape="box"];617 -> 1332[label="",style="solid", color="burlywood", weight=9]; 1332 -> 650[label="",style="solid", color="burlywood", weight=3]; 1333[label="xy370/GT",fontsize=10,color="white",style="solid",shape="box"];617 -> 1333[label="",style="solid", color="burlywood", weight=9]; 1333 -> 651[label="",style="solid", color="burlywood", weight=3]; 618[label="GT == xy370",fontsize=16,color="burlywood",shape="box"];1334[label="xy370/LT",fontsize=10,color="white",style="solid",shape="box"];618 -> 1334[label="",style="solid", color="burlywood", weight=9]; 1334 -> 652[label="",style="solid", color="burlywood", weight=3]; 1335[label="xy370/EQ",fontsize=10,color="white",style="solid",shape="box"];618 -> 1335[label="",style="solid", color="burlywood", weight=9]; 1335 -> 653[label="",style="solid", color="burlywood", weight=3]; 1336[label="xy370/GT",fontsize=10,color="white",style="solid",shape="box"];618 -> 1336[label="",style="solid", color="burlywood", weight=9]; 1336 -> 654[label="",style="solid", color="burlywood", weight=3]; 619[label="Nothing == xy370",fontsize=16,color="burlywood",shape="box"];1337[label="xy370/Nothing",fontsize=10,color="white",style="solid",shape="box"];619 -> 1337[label="",style="solid", color="burlywood", weight=9]; 1337 -> 655[label="",style="solid", color="burlywood", weight=3]; 1338[label="xy370/Just xy3700",fontsize=10,color="white",style="solid",shape="box"];619 -> 1338[label="",style="solid", color="burlywood", weight=9]; 1338 -> 656[label="",style="solid", color="burlywood", weight=3]; 620[label="Just xy340 == xy370",fontsize=16,color="burlywood",shape="box"];1339[label="xy370/Nothing",fontsize=10,color="white",style="solid",shape="box"];620 -> 1339[label="",style="solid", color="burlywood", weight=9]; 1339 -> 657[label="",style="solid", color="burlywood", weight=3]; 1340[label="xy370/Just xy3700",fontsize=10,color="white",style="solid",shape="box"];620 -> 1340[label="",style="solid", color="burlywood", weight=9]; 1340 -> 658[label="",style="solid", color="burlywood", weight=3]; 621[label="xy340 :% xy341 == xy370",fontsize=16,color="burlywood",shape="box"];1341[label="xy370/xy3700 :% xy3701",fontsize=10,color="white",style="solid",shape="box"];621 -> 1341[label="",style="solid", color="burlywood", weight=9]; 1341 -> 659[label="",style="solid", color="burlywood", weight=3]; 622[label="False == xy370",fontsize=16,color="burlywood",shape="box"];1342[label="xy370/False",fontsize=10,color="white",style="solid",shape="box"];622 -> 1342[label="",style="solid", color="burlywood", weight=9]; 1342 -> 660[label="",style="solid", color="burlywood", weight=3]; 1343[label="xy370/True",fontsize=10,color="white",style="solid",shape="box"];622 -> 1343[label="",style="solid", color="burlywood", weight=9]; 1343 -> 661[label="",style="solid", color="burlywood", weight=3]; 623[label="True == xy370",fontsize=16,color="burlywood",shape="box"];1344[label="xy370/False",fontsize=10,color="white",style="solid",shape="box"];623 -> 1344[label="",style="solid", color="burlywood", weight=9]; 1344 -> 662[label="",style="solid", color="burlywood", weight=3]; 1345[label="xy370/True",fontsize=10,color="white",style="solid",shape="box"];623 -> 1345[label="",style="solid", color="burlywood", weight=9]; 1345 -> 663[label="",style="solid", color="burlywood", weight=3]; 624[label="(xy340,xy341,xy342) == xy370",fontsize=16,color="burlywood",shape="box"];1346[label="xy370/(xy3700,xy3701,xy3702)",fontsize=10,color="white",style="solid",shape="box"];624 -> 1346[label="",style="solid", color="burlywood", weight=9]; 1346 -> 664[label="",style="solid", color="burlywood", weight=3]; 625[label="primEqChar xy34 xy370",fontsize=16,color="burlywood",shape="box"];1347[label="xy34/Char xy340",fontsize=10,color="white",style="solid",shape="box"];625 -> 1347[label="",style="solid", color="burlywood", weight=9]; 1347 -> 665[label="",style="solid", color="burlywood", weight=3]; 626[label="Integer xy340 == xy370",fontsize=16,color="burlywood",shape="box"];1348[label="xy370/Integer xy3700",fontsize=10,color="white",style="solid",shape="box"];626 -> 1348[label="",style="solid", color="burlywood", weight=9]; 1348 -> 666[label="",style="solid", color="burlywood", weight=3]; 627[label="(xy340,xy341) == xy370",fontsize=16,color="burlywood",shape="box"];1349[label="xy370/(xy3700,xy3701)",fontsize=10,color="white",style="solid",shape="box"];627 -> 1349[label="",style="solid", color="burlywood", weight=9]; 1349 -> 667[label="",style="solid", color="burlywood", weight=3]; 628[label="() == xy370",fontsize=16,color="burlywood",shape="box"];1350[label="xy370/()",fontsize=10,color="white",style="solid",shape="box"];628 -> 1350[label="",style="solid", color="burlywood", weight=9]; 1350 -> 668[label="",style="solid", color="burlywood", weight=3]; 629[label="primEqFloat xy34 xy370",fontsize=16,color="burlywood",shape="box"];1351[label="xy34/Float xy340 xy341",fontsize=10,color="white",style="solid",shape="box"];629 -> 1351[label="",style="solid", color="burlywood", weight=9]; 1351 -> 669[label="",style="solid", color="burlywood", weight=3]; 630[label="primEqDouble xy34 xy370",fontsize=16,color="burlywood",shape="box"];1352[label="xy34/Double xy340 xy341",fontsize=10,color="white",style="solid",shape="box"];630 -> 1352[label="",style="solid", color="burlywood", weight=9]; 1352 -> 670[label="",style="solid", color="burlywood", weight=3]; 631[label="List.isPrefixOf (xy330 : xy331) (xy3710 : xy3711)",fontsize=16,color="black",shape="box"];631 -> 671[label="",style="solid", color="black", weight=3]; 632[label="List.isPrefixOf (xy330 : xy331) []",fontsize=16,color="black",shape="box"];632 -> 672[label="",style="solid", color="black", weight=3]; 633[label="True",fontsize=16,color="green",shape="box"];634[label="False",fontsize=16,color="green",shape="box"];635[label="xy50",fontsize=16,color="green",shape="box"];636[label="primEqInt (Pos xy340) xy370",fontsize=16,color="burlywood",shape="box"];1353[label="xy340/Succ xy3400",fontsize=10,color="white",style="solid",shape="box"];636 -> 1353[label="",style="solid", color="burlywood", weight=9]; 1353 -> 673[label="",style="solid", color="burlywood", weight=3]; 1354[label="xy340/Zero",fontsize=10,color="white",style="solid",shape="box"];636 -> 1354[label="",style="solid", color="burlywood", weight=9]; 1354 -> 674[label="",style="solid", color="burlywood", weight=3]; 637[label="primEqInt (Neg xy340) xy370",fontsize=16,color="burlywood",shape="box"];1355[label="xy340/Succ xy3400",fontsize=10,color="white",style="solid",shape="box"];637 -> 1355[label="",style="solid", color="burlywood", weight=9]; 1355 -> 675[label="",style="solid", color="burlywood", weight=3]; 1356[label="xy340/Zero",fontsize=10,color="white",style="solid",shape="box"];637 -> 1356[label="",style="solid", color="burlywood", weight=9]; 1356 -> 676[label="",style="solid", color="burlywood", weight=3]; 638[label="Left xy340 == Left xy3700",fontsize=16,color="black",shape="box"];638 -> 677[label="",style="solid", color="black", weight=3]; 639[label="Left xy340 == Right xy3700",fontsize=16,color="black",shape="box"];639 -> 678[label="",style="solid", color="black", weight=3]; 640[label="Right xy340 == Left xy3700",fontsize=16,color="black",shape="box"];640 -> 679[label="",style="solid", color="black", weight=3]; 641[label="Right xy340 == Right xy3700",fontsize=16,color="black",shape="box"];641 -> 680[label="",style="solid", color="black", weight=3]; 642[label="xy340 : xy341 == xy3700 : xy3701",fontsize=16,color="black",shape="box"];642 -> 681[label="",style="solid", color="black", weight=3]; 643[label="xy340 : xy341 == []",fontsize=16,color="black",shape="box"];643 -> 682[label="",style="solid", color="black", weight=3]; 644[label="[] == xy3700 : xy3701",fontsize=16,color="black",shape="box"];644 -> 683[label="",style="solid", color="black", weight=3]; 645[label="[] == []",fontsize=16,color="black",shape="box"];645 -> 684[label="",style="solid", color="black", weight=3]; 646[label="LT == LT",fontsize=16,color="black",shape="box"];646 -> 685[label="",style="solid", color="black", weight=3]; 647[label="LT == EQ",fontsize=16,color="black",shape="box"];647 -> 686[label="",style="solid", color="black", weight=3]; 648[label="LT == GT",fontsize=16,color="black",shape="box"];648 -> 687[label="",style="solid", color="black", weight=3]; 649[label="EQ == LT",fontsize=16,color="black",shape="box"];649 -> 688[label="",style="solid", color="black", weight=3]; 650[label="EQ == EQ",fontsize=16,color="black",shape="box"];650 -> 689[label="",style="solid", color="black", weight=3]; 651[label="EQ == GT",fontsize=16,color="black",shape="box"];651 -> 690[label="",style="solid", color="black", weight=3]; 652[label="GT == LT",fontsize=16,color="black",shape="box"];652 -> 691[label="",style="solid", color="black", weight=3]; 653[label="GT == EQ",fontsize=16,color="black",shape="box"];653 -> 692[label="",style="solid", color="black", weight=3]; 654[label="GT == GT",fontsize=16,color="black",shape="box"];654 -> 693[label="",style="solid", color="black", weight=3]; 655[label="Nothing == Nothing",fontsize=16,color="black",shape="box"];655 -> 694[label="",style="solid", color="black", weight=3]; 656[label="Nothing == Just xy3700",fontsize=16,color="black",shape="box"];656 -> 695[label="",style="solid", color="black", weight=3]; 657[label="Just xy340 == Nothing",fontsize=16,color="black",shape="box"];657 -> 696[label="",style="solid", color="black", weight=3]; 658[label="Just xy340 == Just xy3700",fontsize=16,color="black",shape="box"];658 -> 697[label="",style="solid", color="black", weight=3]; 659[label="xy340 :% xy341 == xy3700 :% xy3701",fontsize=16,color="black",shape="box"];659 -> 698[label="",style="solid", color="black", weight=3]; 660[label="False == False",fontsize=16,color="black",shape="box"];660 -> 699[label="",style="solid", color="black", weight=3]; 661[label="False == True",fontsize=16,color="black",shape="box"];661 -> 700[label="",style="solid", color="black", weight=3]; 662[label="True == False",fontsize=16,color="black",shape="box"];662 -> 701[label="",style="solid", color="black", weight=3]; 663[label="True == True",fontsize=16,color="black",shape="box"];663 -> 702[label="",style="solid", color="black", weight=3]; 664[label="(xy340,xy341,xy342) == (xy3700,xy3701,xy3702)",fontsize=16,color="black",shape="box"];664 -> 703[label="",style="solid", color="black", weight=3]; 665[label="primEqChar (Char xy340) xy370",fontsize=16,color="burlywood",shape="box"];1357[label="xy370/Char xy3700",fontsize=10,color="white",style="solid",shape="box"];665 -> 1357[label="",style="solid", color="burlywood", weight=9]; 1357 -> 704[label="",style="solid", color="burlywood", weight=3]; 666[label="Integer xy340 == Integer xy3700",fontsize=16,color="black",shape="box"];666 -> 705[label="",style="solid", color="black", weight=3]; 667[label="(xy340,xy341) == (xy3700,xy3701)",fontsize=16,color="black",shape="box"];667 -> 706[label="",style="solid", color="black", weight=3]; 668[label="() == ()",fontsize=16,color="black",shape="box"];668 -> 707[label="",style="solid", color="black", weight=3]; 669[label="primEqFloat (Float xy340 xy341) xy370",fontsize=16,color="burlywood",shape="box"];1358[label="xy370/Float xy3700 xy3701",fontsize=10,color="white",style="solid",shape="box"];669 -> 1358[label="",style="solid", color="burlywood", weight=9]; 1358 -> 708[label="",style="solid", color="burlywood", weight=3]; 670[label="primEqDouble (Double xy340 xy341) xy370",fontsize=16,color="burlywood",shape="box"];1359[label="xy370/Double xy3700 xy3701",fontsize=10,color="white",style="solid",shape="box"];670 -> 1359[label="",style="solid", color="burlywood", weight=9]; 1359 -> 709[label="",style="solid", color="burlywood", weight=3]; 671 -> 588[label="",style="dashed", color="red", weight=0]; 671[label="xy330 == xy3710 && List.isPrefixOf xy331 xy3711",fontsize=16,color="magenta"];671 -> 710[label="",style="dashed", color="magenta", weight=3]; 671 -> 711[label="",style="dashed", color="magenta", weight=3]; 672[label="False",fontsize=16,color="green",shape="box"];673[label="primEqInt (Pos (Succ xy3400)) xy370",fontsize=16,color="burlywood",shape="box"];1360[label="xy370/Pos xy3700",fontsize=10,color="white",style="solid",shape="box"];673 -> 1360[label="",style="solid", color="burlywood", weight=9]; 1360 -> 712[label="",style="solid", color="burlywood", weight=3]; 1361[label="xy370/Neg xy3700",fontsize=10,color="white",style="solid",shape="box"];673 -> 1361[label="",style="solid", color="burlywood", weight=9]; 1361 -> 713[label="",style="solid", color="burlywood", weight=3]; 674[label="primEqInt (Pos Zero) xy370",fontsize=16,color="burlywood",shape="box"];1362[label="xy370/Pos xy3700",fontsize=10,color="white",style="solid",shape="box"];674 -> 1362[label="",style="solid", color="burlywood", weight=9]; 1362 -> 714[label="",style="solid", color="burlywood", weight=3]; 1363[label="xy370/Neg xy3700",fontsize=10,color="white",style="solid",shape="box"];674 -> 1363[label="",style="solid", color="burlywood", weight=9]; 1363 -> 715[label="",style="solid", color="burlywood", weight=3]; 675[label="primEqInt (Neg (Succ xy3400)) xy370",fontsize=16,color="burlywood",shape="box"];1364[label="xy370/Pos xy3700",fontsize=10,color="white",style="solid",shape="box"];675 -> 1364[label="",style="solid", color="burlywood", weight=9]; 1364 -> 716[label="",style="solid", color="burlywood", weight=3]; 1365[label="xy370/Neg xy3700",fontsize=10,color="white",style="solid",shape="box"];675 -> 1365[label="",style="solid", color="burlywood", weight=9]; 1365 -> 717[label="",style="solid", color="burlywood", weight=3]; 676[label="primEqInt (Neg Zero) xy370",fontsize=16,color="burlywood",shape="box"];1366[label="xy370/Pos xy3700",fontsize=10,color="white",style="solid",shape="box"];676 -> 1366[label="",style="solid", color="burlywood", weight=9]; 1366 -> 718[label="",style="solid", color="burlywood", weight=3]; 1367[label="xy370/Neg xy3700",fontsize=10,color="white",style="solid",shape="box"];676 -> 1367[label="",style="solid", color="burlywood", weight=9]; 1367 -> 719[label="",style="solid", color="burlywood", weight=3]; 677[label="xy340 == xy3700",fontsize=16,color="blue",shape="box"];1368[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];677 -> 1368[label="",style="solid", color="blue", weight=9]; 1368 -> 720[label="",style="solid", color="blue", weight=3]; 1369[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];677 -> 1369[label="",style="solid", color="blue", weight=9]; 1369 -> 721[label="",style="solid", color="blue", weight=3]; 1370[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];677 -> 1370[label="",style="solid", color="blue", weight=9]; 1370 -> 722[label="",style="solid", color="blue", weight=3]; 1371[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];677 -> 1371[label="",style="solid", color="blue", weight=9]; 1371 -> 723[label="",style="solid", color="blue", weight=3]; 1372[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];677 -> 1372[label="",style="solid", color="blue", weight=9]; 1372 -> 724[label="",style="solid", color="blue", weight=3]; 1373[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];677 -> 1373[label="",style="solid", color="blue", weight=9]; 1373 -> 725[label="",style="solid", color="blue", weight=3]; 1374[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];677 -> 1374[label="",style="solid", color="blue", weight=9]; 1374 -> 726[label="",style="solid", color="blue", weight=3]; 1375[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];677 -> 1375[label="",style="solid", color="blue", weight=9]; 1375 -> 727[label="",style="solid", color="blue", weight=3]; 1376[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];677 -> 1376[label="",style="solid", color="blue", weight=9]; 1376 -> 728[label="",style="solid", color="blue", weight=3]; 1377[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];677 -> 1377[label="",style="solid", color="blue", weight=9]; 1377 -> 729[label="",style="solid", color="blue", weight=3]; 1378[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];677 -> 1378[label="",style="solid", color="blue", weight=9]; 1378 -> 730[label="",style="solid", color="blue", weight=3]; 1379[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];677 -> 1379[label="",style="solid", color="blue", weight=9]; 1379 -> 731[label="",style="solid", color="blue", weight=3]; 1380[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];677 -> 1380[label="",style="solid", color="blue", weight=9]; 1380 -> 732[label="",style="solid", color="blue", weight=3]; 1381[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];677 -> 1381[label="",style="solid", color="blue", weight=9]; 1381 -> 733[label="",style="solid", color="blue", weight=3]; 678[label="False",fontsize=16,color="green",shape="box"];679[label="False",fontsize=16,color="green",shape="box"];680[label="xy340 == xy3700",fontsize=16,color="blue",shape="box"];1382[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];680 -> 1382[label="",style="solid", color="blue", weight=9]; 1382 -> 734[label="",style="solid", color="blue", weight=3]; 1383[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];680 -> 1383[label="",style="solid", color="blue", weight=9]; 1383 -> 735[label="",style="solid", color="blue", weight=3]; 1384[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];680 -> 1384[label="",style="solid", color="blue", weight=9]; 1384 -> 736[label="",style="solid", color="blue", weight=3]; 1385[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];680 -> 1385[label="",style="solid", color="blue", weight=9]; 1385 -> 737[label="",style="solid", color="blue", weight=3]; 1386[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];680 -> 1386[label="",style="solid", color="blue", weight=9]; 1386 -> 738[label="",style="solid", color="blue", weight=3]; 1387[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];680 -> 1387[label="",style="solid", color="blue", weight=9]; 1387 -> 739[label="",style="solid", color="blue", weight=3]; 1388[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];680 -> 1388[label="",style="solid", color="blue", weight=9]; 1388 -> 740[label="",style="solid", color="blue", weight=3]; 1389[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];680 -> 1389[label="",style="solid", color="blue", weight=9]; 1389 -> 741[label="",style="solid", color="blue", weight=3]; 1390[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];680 -> 1390[label="",style="solid", color="blue", weight=9]; 1390 -> 742[label="",style="solid", color="blue", weight=3]; 1391[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];680 -> 1391[label="",style="solid", color="blue", weight=9]; 1391 -> 743[label="",style="solid", color="blue", weight=3]; 1392[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];680 -> 1392[label="",style="solid", color="blue", weight=9]; 1392 -> 744[label="",style="solid", color="blue", weight=3]; 1393[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];680 -> 1393[label="",style="solid", color="blue", weight=9]; 1393 -> 745[label="",style="solid", color="blue", weight=3]; 1394[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];680 -> 1394[label="",style="solid", color="blue", weight=9]; 1394 -> 746[label="",style="solid", color="blue", weight=3]; 1395[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];680 -> 1395[label="",style="solid", color="blue", weight=9]; 1395 -> 747[label="",style="solid", color="blue", weight=3]; 681 -> 588[label="",style="dashed", color="red", weight=0]; 681[label="xy340 == xy3700 && xy341 == xy3701",fontsize=16,color="magenta"];681 -> 748[label="",style="dashed", color="magenta", weight=3]; 681 -> 749[label="",style="dashed", color="magenta", weight=3]; 682[label="False",fontsize=16,color="green",shape="box"];683[label="False",fontsize=16,color="green",shape="box"];684[label="True",fontsize=16,color="green",shape="box"];685[label="True",fontsize=16,color="green",shape="box"];686[label="False",fontsize=16,color="green",shape="box"];687[label="False",fontsize=16,color="green",shape="box"];688[label="False",fontsize=16,color="green",shape="box"];689[label="True",fontsize=16,color="green",shape="box"];690[label="False",fontsize=16,color="green",shape="box"];691[label="False",fontsize=16,color="green",shape="box"];692[label="False",fontsize=16,color="green",shape="box"];693[label="True",fontsize=16,color="green",shape="box"];694[label="True",fontsize=16,color="green",shape="box"];695[label="False",fontsize=16,color="green",shape="box"];696[label="False",fontsize=16,color="green",shape="box"];697[label="xy340 == xy3700",fontsize=16,color="blue",shape="box"];1396[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];697 -> 1396[label="",style="solid", color="blue", weight=9]; 1396 -> 750[label="",style="solid", color="blue", weight=3]; 1397[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];697 -> 1397[label="",style="solid", color="blue", weight=9]; 1397 -> 751[label="",style="solid", color="blue", weight=3]; 1398[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];697 -> 1398[label="",style="solid", color="blue", weight=9]; 1398 -> 752[label="",style="solid", color="blue", weight=3]; 1399[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];697 -> 1399[label="",style="solid", color="blue", weight=9]; 1399 -> 753[label="",style="solid", color="blue", weight=3]; 1400[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];697 -> 1400[label="",style="solid", color="blue", weight=9]; 1400 -> 754[label="",style="solid", color="blue", weight=3]; 1401[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];697 -> 1401[label="",style="solid", color="blue", weight=9]; 1401 -> 755[label="",style="solid", color="blue", weight=3]; 1402[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];697 -> 1402[label="",style="solid", color="blue", weight=9]; 1402 -> 756[label="",style="solid", color="blue", weight=3]; 1403[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];697 -> 1403[label="",style="solid", color="blue", weight=9]; 1403 -> 757[label="",style="solid", color="blue", weight=3]; 1404[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];697 -> 1404[label="",style="solid", color="blue", weight=9]; 1404 -> 758[label="",style="solid", color="blue", weight=3]; 1405[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];697 -> 1405[label="",style="solid", color="blue", weight=9]; 1405 -> 759[label="",style="solid", color="blue", weight=3]; 1406[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];697 -> 1406[label="",style="solid", color="blue", weight=9]; 1406 -> 760[label="",style="solid", color="blue", weight=3]; 1407[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];697 -> 1407[label="",style="solid", color="blue", weight=9]; 1407 -> 761[label="",style="solid", color="blue", weight=3]; 1408[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];697 -> 1408[label="",style="solid", color="blue", weight=9]; 1408 -> 762[label="",style="solid", color="blue", weight=3]; 1409[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];697 -> 1409[label="",style="solid", color="blue", weight=9]; 1409 -> 763[label="",style="solid", color="blue", weight=3]; 698 -> 588[label="",style="dashed", color="red", weight=0]; 698[label="xy340 == xy3700 && xy341 == xy3701",fontsize=16,color="magenta"];698 -> 764[label="",style="dashed", color="magenta", weight=3]; 698 -> 765[label="",style="dashed", color="magenta", weight=3]; 699[label="True",fontsize=16,color="green",shape="box"];700[label="False",fontsize=16,color="green",shape="box"];701[label="False",fontsize=16,color="green",shape="box"];702[label="True",fontsize=16,color="green",shape="box"];703 -> 588[label="",style="dashed", color="red", weight=0]; 703[label="xy340 == xy3700 && xy341 == xy3701 && xy342 == xy3702",fontsize=16,color="magenta"];703 -> 766[label="",style="dashed", color="magenta", weight=3]; 703 -> 767[label="",style="dashed", color="magenta", weight=3]; 704[label="primEqChar (Char xy340) (Char xy3700)",fontsize=16,color="black",shape="box"];704 -> 768[label="",style="solid", color="black", weight=3]; 705 -> 611[label="",style="dashed", color="red", weight=0]; 705[label="primEqInt xy340 xy3700",fontsize=16,color="magenta"];705 -> 769[label="",style="dashed", color="magenta", weight=3]; 705 -> 770[label="",style="dashed", color="magenta", weight=3]; 706 -> 588[label="",style="dashed", color="red", weight=0]; 706[label="xy340 == xy3700 && xy341 == xy3701",fontsize=16,color="magenta"];706 -> 771[label="",style="dashed", color="magenta", weight=3]; 706 -> 772[label="",style="dashed", color="magenta", weight=3]; 707[label="True",fontsize=16,color="green",shape="box"];708[label="primEqFloat (Float xy340 xy341) (Float xy3700 xy3701)",fontsize=16,color="black",shape="box"];708 -> 773[label="",style="solid", color="black", weight=3]; 709[label="primEqDouble (Double xy340 xy341) (Double xy3700 xy3701)",fontsize=16,color="black",shape="box"];709 -> 774[label="",style="solid", color="black", weight=3]; 710[label="xy330 == xy3710",fontsize=16,color="blue",shape="box"];1410[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];710 -> 1410[label="",style="solid", color="blue", weight=9]; 1410 -> 775[label="",style="solid", color="blue", weight=3]; 1411[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];710 -> 1411[label="",style="solid", color="blue", weight=9]; 1411 -> 776[label="",style="solid", color="blue", weight=3]; 1412[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];710 -> 1412[label="",style="solid", color="blue", weight=9]; 1412 -> 777[label="",style="solid", color="blue", weight=3]; 1413[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];710 -> 1413[label="",style="solid", color="blue", weight=9]; 1413 -> 778[label="",style="solid", color="blue", weight=3]; 1414[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];710 -> 1414[label="",style="solid", color="blue", weight=9]; 1414 -> 779[label="",style="solid", color="blue", weight=3]; 1415[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];710 -> 1415[label="",style="solid", color="blue", weight=9]; 1415 -> 780[label="",style="solid", color="blue", weight=3]; 1416[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];710 -> 1416[label="",style="solid", color="blue", weight=9]; 1416 -> 781[label="",style="solid", color="blue", weight=3]; 1417[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];710 -> 1417[label="",style="solid", color="blue", weight=9]; 1417 -> 782[label="",style="solid", color="blue", weight=3]; 1418[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];710 -> 1418[label="",style="solid", color="blue", weight=9]; 1418 -> 783[label="",style="solid", color="blue", weight=3]; 1419[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];710 -> 1419[label="",style="solid", color="blue", weight=9]; 1419 -> 784[label="",style="solid", color="blue", weight=3]; 1420[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];710 -> 1420[label="",style="solid", color="blue", weight=9]; 1420 -> 785[label="",style="solid", color="blue", weight=3]; 1421[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];710 -> 1421[label="",style="solid", color="blue", weight=9]; 1421 -> 786[label="",style="solid", color="blue", weight=3]; 1422[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];710 -> 1422[label="",style="solid", color="blue", weight=9]; 1422 -> 787[label="",style="solid", color="blue", weight=3]; 1423[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];710 -> 1423[label="",style="solid", color="blue", weight=9]; 1423 -> 788[label="",style="solid", color="blue", weight=3]; 711 -> 590[label="",style="dashed", color="red", weight=0]; 711[label="List.isPrefixOf xy331 xy3711",fontsize=16,color="magenta"];711 -> 789[label="",style="dashed", color="magenta", weight=3]; 711 -> 790[label="",style="dashed", color="magenta", weight=3]; 712[label="primEqInt (Pos (Succ xy3400)) (Pos xy3700)",fontsize=16,color="burlywood",shape="box"];1424[label="xy3700/Succ xy37000",fontsize=10,color="white",style="solid",shape="box"];712 -> 1424[label="",style="solid", color="burlywood", weight=9]; 1424 -> 791[label="",style="solid", color="burlywood", weight=3]; 1425[label="xy3700/Zero",fontsize=10,color="white",style="solid",shape="box"];712 -> 1425[label="",style="solid", color="burlywood", weight=9]; 1425 -> 792[label="",style="solid", color="burlywood", weight=3]; 713[label="primEqInt (Pos (Succ xy3400)) (Neg xy3700)",fontsize=16,color="black",shape="box"];713 -> 793[label="",style="solid", color="black", weight=3]; 714[label="primEqInt (Pos Zero) (Pos xy3700)",fontsize=16,color="burlywood",shape="box"];1426[label="xy3700/Succ xy37000",fontsize=10,color="white",style="solid",shape="box"];714 -> 1426[label="",style="solid", color="burlywood", weight=9]; 1426 -> 794[label="",style="solid", color="burlywood", weight=3]; 1427[label="xy3700/Zero",fontsize=10,color="white",style="solid",shape="box"];714 -> 1427[label="",style="solid", color="burlywood", weight=9]; 1427 -> 795[label="",style="solid", color="burlywood", weight=3]; 715[label="primEqInt (Pos Zero) (Neg xy3700)",fontsize=16,color="burlywood",shape="box"];1428[label="xy3700/Succ xy37000",fontsize=10,color="white",style="solid",shape="box"];715 -> 1428[label="",style="solid", color="burlywood", weight=9]; 1428 -> 796[label="",style="solid", color="burlywood", weight=3]; 1429[label="xy3700/Zero",fontsize=10,color="white",style="solid",shape="box"];715 -> 1429[label="",style="solid", color="burlywood", weight=9]; 1429 -> 797[label="",style="solid", color="burlywood", weight=3]; 716[label="primEqInt (Neg (Succ xy3400)) (Pos xy3700)",fontsize=16,color="black",shape="box"];716 -> 798[label="",style="solid", color="black", weight=3]; 717[label="primEqInt (Neg (Succ xy3400)) (Neg xy3700)",fontsize=16,color="burlywood",shape="box"];1430[label="xy3700/Succ xy37000",fontsize=10,color="white",style="solid",shape="box"];717 -> 1430[label="",style="solid", color="burlywood", weight=9]; 1430 -> 799[label="",style="solid", color="burlywood", weight=3]; 1431[label="xy3700/Zero",fontsize=10,color="white",style="solid",shape="box"];717 -> 1431[label="",style="solid", color="burlywood", weight=9]; 1431 -> 800[label="",style="solid", color="burlywood", weight=3]; 718[label="primEqInt (Neg Zero) (Pos xy3700)",fontsize=16,color="burlywood",shape="box"];1432[label="xy3700/Succ xy37000",fontsize=10,color="white",style="solid",shape="box"];718 -> 1432[label="",style="solid", color="burlywood", weight=9]; 1432 -> 801[label="",style="solid", color="burlywood", weight=3]; 1433[label="xy3700/Zero",fontsize=10,color="white",style="solid",shape="box"];718 -> 1433[label="",style="solid", color="burlywood", weight=9]; 1433 -> 802[label="",style="solid", color="burlywood", weight=3]; 719[label="primEqInt (Neg Zero) (Neg xy3700)",fontsize=16,color="burlywood",shape="box"];1434[label="xy3700/Succ xy37000",fontsize=10,color="white",style="solid",shape="box"];719 -> 1434[label="",style="solid", color="burlywood", weight=9]; 1434 -> 803[label="",style="solid", color="burlywood", weight=3]; 1435[label="xy3700/Zero",fontsize=10,color="white",style="solid",shape="box"];719 -> 1435[label="",style="solid", color="burlywood", weight=9]; 1435 -> 804[label="",style="solid", color="burlywood", weight=3]; 720 -> 593[label="",style="dashed", color="red", weight=0]; 720[label="xy340 == xy3700",fontsize=16,color="magenta"];720 -> 805[label="",style="dashed", color="magenta", weight=3]; 720 -> 806[label="",style="dashed", color="magenta", weight=3]; 721 -> 594[label="",style="dashed", color="red", weight=0]; 721[label="xy340 == xy3700",fontsize=16,color="magenta"];721 -> 807[label="",style="dashed", color="magenta", weight=3]; 721 -> 808[label="",style="dashed", color="magenta", weight=3]; 722 -> 595[label="",style="dashed", color="red", weight=0]; 722[label="xy340 == xy3700",fontsize=16,color="magenta"];722 -> 809[label="",style="dashed", color="magenta", weight=3]; 722 -> 810[label="",style="dashed", color="magenta", weight=3]; 723 -> 596[label="",style="dashed", color="red", weight=0]; 723[label="xy340 == xy3700",fontsize=16,color="magenta"];723 -> 811[label="",style="dashed", color="magenta", weight=3]; 723 -> 812[label="",style="dashed", color="magenta", weight=3]; 724 -> 597[label="",style="dashed", color="red", weight=0]; 724[label="xy340 == xy3700",fontsize=16,color="magenta"];724 -> 813[label="",style="dashed", color="magenta", weight=3]; 724 -> 814[label="",style="dashed", color="magenta", weight=3]; 725 -> 598[label="",style="dashed", color="red", weight=0]; 725[label="xy340 == xy3700",fontsize=16,color="magenta"];725 -> 815[label="",style="dashed", color="magenta", weight=3]; 725 -> 816[label="",style="dashed", color="magenta", weight=3]; 726 -> 599[label="",style="dashed", color="red", weight=0]; 726[label="xy340 == xy3700",fontsize=16,color="magenta"];726 -> 817[label="",style="dashed", color="magenta", weight=3]; 726 -> 818[label="",style="dashed", color="magenta", weight=3]; 727 -> 600[label="",style="dashed", color="red", weight=0]; 727[label="xy340 == xy3700",fontsize=16,color="magenta"];727 -> 819[label="",style="dashed", color="magenta", weight=3]; 727 -> 820[label="",style="dashed", color="magenta", weight=3]; 728 -> 601[label="",style="dashed", color="red", weight=0]; 728[label="xy340 == xy3700",fontsize=16,color="magenta"];728 -> 821[label="",style="dashed", color="magenta", weight=3]; 728 -> 822[label="",style="dashed", color="magenta", weight=3]; 729 -> 602[label="",style="dashed", color="red", weight=0]; 729[label="xy340 == xy3700",fontsize=16,color="magenta"];729 -> 823[label="",style="dashed", color="magenta", weight=3]; 729 -> 824[label="",style="dashed", color="magenta", weight=3]; 730 -> 603[label="",style="dashed", color="red", weight=0]; 730[label="xy340 == xy3700",fontsize=16,color="magenta"];730 -> 825[label="",style="dashed", color="magenta", weight=3]; 730 -> 826[label="",style="dashed", color="magenta", weight=3]; 731 -> 604[label="",style="dashed", color="red", weight=0]; 731[label="xy340 == xy3700",fontsize=16,color="magenta"];731 -> 827[label="",style="dashed", color="magenta", weight=3]; 731 -> 828[label="",style="dashed", color="magenta", weight=3]; 732 -> 605[label="",style="dashed", color="red", weight=0]; 732[label="xy340 == xy3700",fontsize=16,color="magenta"];732 -> 829[label="",style="dashed", color="magenta", weight=3]; 732 -> 830[label="",style="dashed", color="magenta", weight=3]; 733 -> 606[label="",style="dashed", color="red", weight=0]; 733[label="xy340 == xy3700",fontsize=16,color="magenta"];733 -> 831[label="",style="dashed", color="magenta", weight=3]; 733 -> 832[label="",style="dashed", color="magenta", weight=3]; 734 -> 593[label="",style="dashed", color="red", weight=0]; 734[label="xy340 == xy3700",fontsize=16,color="magenta"];734 -> 833[label="",style="dashed", color="magenta", weight=3]; 734 -> 834[label="",style="dashed", color="magenta", weight=3]; 735 -> 594[label="",style="dashed", color="red", weight=0]; 735[label="xy340 == xy3700",fontsize=16,color="magenta"];735 -> 835[label="",style="dashed", color="magenta", weight=3]; 735 -> 836[label="",style="dashed", color="magenta", weight=3]; 736 -> 595[label="",style="dashed", color="red", weight=0]; 736[label="xy340 == xy3700",fontsize=16,color="magenta"];736 -> 837[label="",style="dashed", color="magenta", weight=3]; 736 -> 838[label="",style="dashed", color="magenta", weight=3]; 737 -> 596[label="",style="dashed", color="red", weight=0]; 737[label="xy340 == xy3700",fontsize=16,color="magenta"];737 -> 839[label="",style="dashed", color="magenta", weight=3]; 737 -> 840[label="",style="dashed", color="magenta", weight=3]; 738 -> 597[label="",style="dashed", color="red", weight=0]; 738[label="xy340 == xy3700",fontsize=16,color="magenta"];738 -> 841[label="",style="dashed", color="magenta", weight=3]; 738 -> 842[label="",style="dashed", color="magenta", weight=3]; 739 -> 598[label="",style="dashed", color="red", weight=0]; 739[label="xy340 == xy3700",fontsize=16,color="magenta"];739 -> 843[label="",style="dashed", color="magenta", weight=3]; 739 -> 844[label="",style="dashed", color="magenta", weight=3]; 740 -> 599[label="",style="dashed", color="red", weight=0]; 740[label="xy340 == xy3700",fontsize=16,color="magenta"];740 -> 845[label="",style="dashed", color="magenta", weight=3]; 740 -> 846[label="",style="dashed", color="magenta", weight=3]; 741 -> 600[label="",style="dashed", color="red", weight=0]; 741[label="xy340 == xy3700",fontsize=16,color="magenta"];741 -> 847[label="",style="dashed", color="magenta", weight=3]; 741 -> 848[label="",style="dashed", color="magenta", weight=3]; 742 -> 601[label="",style="dashed", color="red", weight=0]; 742[label="xy340 == xy3700",fontsize=16,color="magenta"];742 -> 849[label="",style="dashed", color="magenta", weight=3]; 742 -> 850[label="",style="dashed", color="magenta", weight=3]; 743 -> 602[label="",style="dashed", color="red", weight=0]; 743[label="xy340 == xy3700",fontsize=16,color="magenta"];743 -> 851[label="",style="dashed", color="magenta", weight=3]; 743 -> 852[label="",style="dashed", color="magenta", weight=3]; 744 -> 603[label="",style="dashed", color="red", weight=0]; 744[label="xy340 == xy3700",fontsize=16,color="magenta"];744 -> 853[label="",style="dashed", color="magenta", weight=3]; 744 -> 854[label="",style="dashed", color="magenta", weight=3]; 745 -> 604[label="",style="dashed", color="red", weight=0]; 745[label="xy340 == xy3700",fontsize=16,color="magenta"];745 -> 855[label="",style="dashed", color="magenta", weight=3]; 745 -> 856[label="",style="dashed", color="magenta", weight=3]; 746 -> 605[label="",style="dashed", color="red", weight=0]; 746[label="xy340 == xy3700",fontsize=16,color="magenta"];746 -> 857[label="",style="dashed", color="magenta", weight=3]; 746 -> 858[label="",style="dashed", color="magenta", weight=3]; 747 -> 606[label="",style="dashed", color="red", weight=0]; 747[label="xy340 == xy3700",fontsize=16,color="magenta"];747 -> 859[label="",style="dashed", color="magenta", weight=3]; 747 -> 860[label="",style="dashed", color="magenta", weight=3]; 748[label="xy340 == xy3700",fontsize=16,color="blue",shape="box"];1436[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];748 -> 1436[label="",style="solid", color="blue", weight=9]; 1436 -> 861[label="",style="solid", color="blue", weight=3]; 1437[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];748 -> 1437[label="",style="solid", color="blue", weight=9]; 1437 -> 862[label="",style="solid", color="blue", weight=3]; 1438[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];748 -> 1438[label="",style="solid", color="blue", weight=9]; 1438 -> 863[label="",style="solid", color="blue", weight=3]; 1439[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];748 -> 1439[label="",style="solid", color="blue", weight=9]; 1439 -> 864[label="",style="solid", color="blue", weight=3]; 1440[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];748 -> 1440[label="",style="solid", color="blue", weight=9]; 1440 -> 865[label="",style="solid", color="blue", weight=3]; 1441[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];748 -> 1441[label="",style="solid", color="blue", weight=9]; 1441 -> 866[label="",style="solid", color="blue", weight=3]; 1442[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];748 -> 1442[label="",style="solid", color="blue", weight=9]; 1442 -> 867[label="",style="solid", color="blue", weight=3]; 1443[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];748 -> 1443[label="",style="solid", color="blue", weight=9]; 1443 -> 868[label="",style="solid", color="blue", weight=3]; 1444[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];748 -> 1444[label="",style="solid", color="blue", weight=9]; 1444 -> 869[label="",style="solid", color="blue", weight=3]; 1445[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];748 -> 1445[label="",style="solid", color="blue", weight=9]; 1445 -> 870[label="",style="solid", color="blue", weight=3]; 1446[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];748 -> 1446[label="",style="solid", color="blue", weight=9]; 1446 -> 871[label="",style="solid", color="blue", weight=3]; 1447[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];748 -> 1447[label="",style="solid", color="blue", weight=9]; 1447 -> 872[label="",style="solid", color="blue", weight=3]; 1448[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];748 -> 1448[label="",style="solid", color="blue", weight=9]; 1448 -> 873[label="",style="solid", color="blue", weight=3]; 1449[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];748 -> 1449[label="",style="solid", color="blue", weight=9]; 1449 -> 874[label="",style="solid", color="blue", weight=3]; 749 -> 595[label="",style="dashed", color="red", weight=0]; 749[label="xy341 == xy3701",fontsize=16,color="magenta"];749 -> 875[label="",style="dashed", color="magenta", weight=3]; 749 -> 876[label="",style="dashed", color="magenta", weight=3]; 750 -> 593[label="",style="dashed", color="red", weight=0]; 750[label="xy340 == xy3700",fontsize=16,color="magenta"];750 -> 877[label="",style="dashed", color="magenta", weight=3]; 750 -> 878[label="",style="dashed", color="magenta", weight=3]; 751 -> 594[label="",style="dashed", color="red", weight=0]; 751[label="xy340 == xy3700",fontsize=16,color="magenta"];751 -> 879[label="",style="dashed", color="magenta", weight=3]; 751 -> 880[label="",style="dashed", color="magenta", weight=3]; 752 -> 595[label="",style="dashed", color="red", weight=0]; 752[label="xy340 == xy3700",fontsize=16,color="magenta"];752 -> 881[label="",style="dashed", color="magenta", weight=3]; 752 -> 882[label="",style="dashed", color="magenta", weight=3]; 753 -> 596[label="",style="dashed", color="red", weight=0]; 753[label="xy340 == xy3700",fontsize=16,color="magenta"];753 -> 883[label="",style="dashed", color="magenta", weight=3]; 753 -> 884[label="",style="dashed", color="magenta", weight=3]; 754 -> 597[label="",style="dashed", color="red", weight=0]; 754[label="xy340 == xy3700",fontsize=16,color="magenta"];754 -> 885[label="",style="dashed", color="magenta", weight=3]; 754 -> 886[label="",style="dashed", color="magenta", weight=3]; 755 -> 598[label="",style="dashed", color="red", weight=0]; 755[label="xy340 == xy3700",fontsize=16,color="magenta"];755 -> 887[label="",style="dashed", color="magenta", weight=3]; 755 -> 888[label="",style="dashed", color="magenta", weight=3]; 756 -> 599[label="",style="dashed", color="red", weight=0]; 756[label="xy340 == xy3700",fontsize=16,color="magenta"];756 -> 889[label="",style="dashed", color="magenta", weight=3]; 756 -> 890[label="",style="dashed", color="magenta", weight=3]; 757 -> 600[label="",style="dashed", color="red", weight=0]; 757[label="xy340 == xy3700",fontsize=16,color="magenta"];757 -> 891[label="",style="dashed", color="magenta", weight=3]; 757 -> 892[label="",style="dashed", color="magenta", weight=3]; 758 -> 601[label="",style="dashed", color="red", weight=0]; 758[label="xy340 == xy3700",fontsize=16,color="magenta"];758 -> 893[label="",style="dashed", color="magenta", weight=3]; 758 -> 894[label="",style="dashed", color="magenta", weight=3]; 759 -> 602[label="",style="dashed", color="red", weight=0]; 759[label="xy340 == xy3700",fontsize=16,color="magenta"];759 -> 895[label="",style="dashed", color="magenta", weight=3]; 759 -> 896[label="",style="dashed", color="magenta", weight=3]; 760 -> 603[label="",style="dashed", color="red", weight=0]; 760[label="xy340 == xy3700",fontsize=16,color="magenta"];760 -> 897[label="",style="dashed", color="magenta", weight=3]; 760 -> 898[label="",style="dashed", color="magenta", weight=3]; 761 -> 604[label="",style="dashed", color="red", weight=0]; 761[label="xy340 == xy3700",fontsize=16,color="magenta"];761 -> 899[label="",style="dashed", color="magenta", weight=3]; 761 -> 900[label="",style="dashed", color="magenta", weight=3]; 762 -> 605[label="",style="dashed", color="red", weight=0]; 762[label="xy340 == xy3700",fontsize=16,color="magenta"];762 -> 901[label="",style="dashed", color="magenta", weight=3]; 762 -> 902[label="",style="dashed", color="magenta", weight=3]; 763 -> 606[label="",style="dashed", color="red", weight=0]; 763[label="xy340 == xy3700",fontsize=16,color="magenta"];763 -> 903[label="",style="dashed", color="magenta", weight=3]; 763 -> 904[label="",style="dashed", color="magenta", weight=3]; 764[label="xy340 == xy3700",fontsize=16,color="blue",shape="box"];1450[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];764 -> 1450[label="",style="solid", color="blue", weight=9]; 1450 -> 905[label="",style="solid", color="blue", weight=3]; 1451[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];764 -> 1451[label="",style="solid", color="blue", weight=9]; 1451 -> 906[label="",style="solid", color="blue", weight=3]; 765[label="xy341 == xy3701",fontsize=16,color="blue",shape="box"];1452[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];765 -> 1452[label="",style="solid", color="blue", weight=9]; 1452 -> 907[label="",style="solid", color="blue", weight=3]; 1453[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];765 -> 1453[label="",style="solid", color="blue", weight=9]; 1453 -> 908[label="",style="solid", color="blue", weight=3]; 766[label="xy340 == xy3700",fontsize=16,color="blue",shape="box"];1454[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];766 -> 1454[label="",style="solid", color="blue", weight=9]; 1454 -> 909[label="",style="solid", color="blue", weight=3]; 1455[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];766 -> 1455[label="",style="solid", color="blue", weight=9]; 1455 -> 910[label="",style="solid", color="blue", weight=3]; 1456[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];766 -> 1456[label="",style="solid", color="blue", weight=9]; 1456 -> 911[label="",style="solid", color="blue", weight=3]; 1457[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];766 -> 1457[label="",style="solid", color="blue", weight=9]; 1457 -> 912[label="",style="solid", color="blue", weight=3]; 1458[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];766 -> 1458[label="",style="solid", color="blue", weight=9]; 1458 -> 913[label="",style="solid", color="blue", weight=3]; 1459[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];766 -> 1459[label="",style="solid", color="blue", weight=9]; 1459 -> 914[label="",style="solid", color="blue", weight=3]; 1460[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];766 -> 1460[label="",style="solid", color="blue", weight=9]; 1460 -> 915[label="",style="solid", color="blue", weight=3]; 1461[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];766 -> 1461[label="",style="solid", color="blue", weight=9]; 1461 -> 916[label="",style="solid", color="blue", weight=3]; 1462[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];766 -> 1462[label="",style="solid", color="blue", weight=9]; 1462 -> 917[label="",style="solid", color="blue", weight=3]; 1463[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];766 -> 1463[label="",style="solid", color="blue", weight=9]; 1463 -> 918[label="",style="solid", color="blue", weight=3]; 1464[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];766 -> 1464[label="",style="solid", color="blue", weight=9]; 1464 -> 919[label="",style="solid", color="blue", weight=3]; 1465[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];766 -> 1465[label="",style="solid", color="blue", weight=9]; 1465 -> 920[label="",style="solid", color="blue", weight=3]; 1466[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];766 -> 1466[label="",style="solid", color="blue", weight=9]; 1466 -> 921[label="",style="solid", color="blue", weight=3]; 1467[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];766 -> 1467[label="",style="solid", color="blue", weight=9]; 1467 -> 922[label="",style="solid", color="blue", weight=3]; 767 -> 588[label="",style="dashed", color="red", weight=0]; 767[label="xy341 == xy3701 && xy342 == xy3702",fontsize=16,color="magenta"];767 -> 923[label="",style="dashed", color="magenta", weight=3]; 767 -> 924[label="",style="dashed", color="magenta", weight=3]; 768[label="primEqNat xy340 xy3700",fontsize=16,color="burlywood",shape="triangle"];1468[label="xy340/Succ xy3400",fontsize=10,color="white",style="solid",shape="box"];768 -> 1468[label="",style="solid", color="burlywood", weight=9]; 1468 -> 925[label="",style="solid", color="burlywood", weight=3]; 1469[label="xy340/Zero",fontsize=10,color="white",style="solid",shape="box"];768 -> 1469[label="",style="solid", color="burlywood", weight=9]; 1469 -> 926[label="",style="solid", color="burlywood", weight=3]; 769[label="xy340",fontsize=16,color="green",shape="box"];770[label="xy3700",fontsize=16,color="green",shape="box"];771[label="xy340 == xy3700",fontsize=16,color="blue",shape="box"];1470[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];771 -> 1470[label="",style="solid", color="blue", weight=9]; 1470 -> 927[label="",style="solid", color="blue", weight=3]; 1471[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];771 -> 1471[label="",style="solid", color="blue", weight=9]; 1471 -> 928[label="",style="solid", color="blue", weight=3]; 1472[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];771 -> 1472[label="",style="solid", color="blue", weight=9]; 1472 -> 929[label="",style="solid", color="blue", weight=3]; 1473[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];771 -> 1473[label="",style="solid", color="blue", weight=9]; 1473 -> 930[label="",style="solid", color="blue", weight=3]; 1474[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];771 -> 1474[label="",style="solid", color="blue", weight=9]; 1474 -> 931[label="",style="solid", color="blue", weight=3]; 1475[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];771 -> 1475[label="",style="solid", color="blue", weight=9]; 1475 -> 932[label="",style="solid", color="blue", weight=3]; 1476[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];771 -> 1476[label="",style="solid", color="blue", weight=9]; 1476 -> 933[label="",style="solid", color="blue", weight=3]; 1477[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];771 -> 1477[label="",style="solid", color="blue", weight=9]; 1477 -> 934[label="",style="solid", color="blue", weight=3]; 1478[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];771 -> 1478[label="",style="solid", color="blue", weight=9]; 1478 -> 935[label="",style="solid", color="blue", weight=3]; 1479[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];771 -> 1479[label="",style="solid", color="blue", weight=9]; 1479 -> 936[label="",style="solid", color="blue", weight=3]; 1480[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];771 -> 1480[label="",style="solid", color="blue", weight=9]; 1480 -> 937[label="",style="solid", color="blue", weight=3]; 1481[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];771 -> 1481[label="",style="solid", color="blue", weight=9]; 1481 -> 938[label="",style="solid", color="blue", weight=3]; 1482[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];771 -> 1482[label="",style="solid", color="blue", weight=9]; 1482 -> 939[label="",style="solid", color="blue", weight=3]; 1483[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];771 -> 1483[label="",style="solid", color="blue", weight=9]; 1483 -> 940[label="",style="solid", color="blue", weight=3]; 772[label="xy341 == xy3701",fontsize=16,color="blue",shape="box"];1484[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];772 -> 1484[label="",style="solid", color="blue", weight=9]; 1484 -> 941[label="",style="solid", color="blue", weight=3]; 1485[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];772 -> 1485[label="",style="solid", color="blue", weight=9]; 1485 -> 942[label="",style="solid", color="blue", weight=3]; 1486[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];772 -> 1486[label="",style="solid", color="blue", weight=9]; 1486 -> 943[label="",style="solid", color="blue", weight=3]; 1487[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];772 -> 1487[label="",style="solid", color="blue", weight=9]; 1487 -> 944[label="",style="solid", color="blue", weight=3]; 1488[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];772 -> 1488[label="",style="solid", color="blue", weight=9]; 1488 -> 945[label="",style="solid", color="blue", weight=3]; 1489[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];772 -> 1489[label="",style="solid", color="blue", weight=9]; 1489 -> 946[label="",style="solid", color="blue", weight=3]; 1490[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];772 -> 1490[label="",style="solid", color="blue", weight=9]; 1490 -> 947[label="",style="solid", color="blue", weight=3]; 1491[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];772 -> 1491[label="",style="solid", color="blue", weight=9]; 1491 -> 948[label="",style="solid", color="blue", weight=3]; 1492[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];772 -> 1492[label="",style="solid", color="blue", weight=9]; 1492 -> 949[label="",style="solid", color="blue", weight=3]; 1493[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];772 -> 1493[label="",style="solid", color="blue", weight=9]; 1493 -> 950[label="",style="solid", color="blue", weight=3]; 1494[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];772 -> 1494[label="",style="solid", color="blue", weight=9]; 1494 -> 951[label="",style="solid", color="blue", weight=3]; 1495[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];772 -> 1495[label="",style="solid", color="blue", weight=9]; 1495 -> 952[label="",style="solid", color="blue", weight=3]; 1496[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];772 -> 1496[label="",style="solid", color="blue", weight=9]; 1496 -> 953[label="",style="solid", color="blue", weight=3]; 1497[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];772 -> 1497[label="",style="solid", color="blue", weight=9]; 1497 -> 954[label="",style="solid", color="blue", weight=3]; 773 -> 593[label="",style="dashed", color="red", weight=0]; 773[label="xy340 * xy3701 == xy341 * xy3700",fontsize=16,color="magenta"];773 -> 955[label="",style="dashed", color="magenta", weight=3]; 773 -> 956[label="",style="dashed", color="magenta", weight=3]; 774 -> 593[label="",style="dashed", color="red", weight=0]; 774[label="xy340 * xy3701 == xy341 * xy3700",fontsize=16,color="magenta"];774 -> 957[label="",style="dashed", color="magenta", weight=3]; 774 -> 958[label="",style="dashed", color="magenta", weight=3]; 775 -> 593[label="",style="dashed", color="red", weight=0]; 775[label="xy330 == xy3710",fontsize=16,color="magenta"];775 -> 959[label="",style="dashed", color="magenta", weight=3]; 775 -> 960[label="",style="dashed", color="magenta", weight=3]; 776 -> 594[label="",style="dashed", color="red", weight=0]; 776[label="xy330 == xy3710",fontsize=16,color="magenta"];776 -> 961[label="",style="dashed", color="magenta", weight=3]; 776 -> 962[label="",style="dashed", color="magenta", weight=3]; 777 -> 595[label="",style="dashed", color="red", weight=0]; 777[label="xy330 == xy3710",fontsize=16,color="magenta"];777 -> 963[label="",style="dashed", color="magenta", weight=3]; 777 -> 964[label="",style="dashed", color="magenta", weight=3]; 778 -> 596[label="",style="dashed", color="red", weight=0]; 778[label="xy330 == xy3710",fontsize=16,color="magenta"];778 -> 965[label="",style="dashed", color="magenta", weight=3]; 778 -> 966[label="",style="dashed", color="magenta", weight=3]; 779 -> 597[label="",style="dashed", color="red", weight=0]; 779[label="xy330 == xy3710",fontsize=16,color="magenta"];779 -> 967[label="",style="dashed", color="magenta", weight=3]; 779 -> 968[label="",style="dashed", color="magenta", weight=3]; 780 -> 598[label="",style="dashed", color="red", weight=0]; 780[label="xy330 == xy3710",fontsize=16,color="magenta"];780 -> 969[label="",style="dashed", color="magenta", weight=3]; 780 -> 970[label="",style="dashed", color="magenta", weight=3]; 781 -> 599[label="",style="dashed", color="red", weight=0]; 781[label="xy330 == xy3710",fontsize=16,color="magenta"];781 -> 971[label="",style="dashed", color="magenta", weight=3]; 781 -> 972[label="",style="dashed", color="magenta", weight=3]; 782 -> 600[label="",style="dashed", color="red", weight=0]; 782[label="xy330 == xy3710",fontsize=16,color="magenta"];782 -> 973[label="",style="dashed", color="magenta", weight=3]; 782 -> 974[label="",style="dashed", color="magenta", weight=3]; 783 -> 601[label="",style="dashed", color="red", weight=0]; 783[label="xy330 == xy3710",fontsize=16,color="magenta"];783 -> 975[label="",style="dashed", color="magenta", weight=3]; 783 -> 976[label="",style="dashed", color="magenta", weight=3]; 784 -> 602[label="",style="dashed", color="red", weight=0]; 784[label="xy330 == xy3710",fontsize=16,color="magenta"];784 -> 977[label="",style="dashed", color="magenta", weight=3]; 784 -> 978[label="",style="dashed", color="magenta", weight=3]; 785 -> 603[label="",style="dashed", color="red", weight=0]; 785[label="xy330 == xy3710",fontsize=16,color="magenta"];785 -> 979[label="",style="dashed", color="magenta", weight=3]; 785 -> 980[label="",style="dashed", color="magenta", weight=3]; 786 -> 604[label="",style="dashed", color="red", weight=0]; 786[label="xy330 == xy3710",fontsize=16,color="magenta"];786 -> 981[label="",style="dashed", color="magenta", weight=3]; 786 -> 982[label="",style="dashed", color="magenta", weight=3]; 787 -> 605[label="",style="dashed", color="red", weight=0]; 787[label="xy330 == xy3710",fontsize=16,color="magenta"];787 -> 983[label="",style="dashed", color="magenta", weight=3]; 787 -> 984[label="",style="dashed", color="magenta", weight=3]; 788 -> 606[label="",style="dashed", color="red", weight=0]; 788[label="xy330 == xy3710",fontsize=16,color="magenta"];788 -> 985[label="",style="dashed", color="magenta", weight=3]; 788 -> 986[label="",style="dashed", color="magenta", weight=3]; 789[label="xy331",fontsize=16,color="green",shape="box"];790[label="xy3711",fontsize=16,color="green",shape="box"];791[label="primEqInt (Pos (Succ xy3400)) (Pos (Succ xy37000))",fontsize=16,color="black",shape="box"];791 -> 987[label="",style="solid", color="black", weight=3]; 792[label="primEqInt (Pos (Succ xy3400)) (Pos Zero)",fontsize=16,color="black",shape="box"];792 -> 988[label="",style="solid", color="black", weight=3]; 793[label="False",fontsize=16,color="green",shape="box"];794[label="primEqInt (Pos Zero) (Pos (Succ xy37000))",fontsize=16,color="black",shape="box"];794 -> 989[label="",style="solid", color="black", weight=3]; 795[label="primEqInt (Pos Zero) (Pos Zero)",fontsize=16,color="black",shape="box"];795 -> 990[label="",style="solid", color="black", weight=3]; 796[label="primEqInt (Pos Zero) (Neg (Succ xy37000))",fontsize=16,color="black",shape="box"];796 -> 991[label="",style="solid", color="black", weight=3]; 797[label="primEqInt (Pos Zero) (Neg Zero)",fontsize=16,color="black",shape="box"];797 -> 992[label="",style="solid", color="black", weight=3]; 798[label="False",fontsize=16,color="green",shape="box"];799[label="primEqInt (Neg (Succ xy3400)) (Neg (Succ xy37000))",fontsize=16,color="black",shape="box"];799 -> 993[label="",style="solid", color="black", weight=3]; 800[label="primEqInt (Neg (Succ xy3400)) (Neg Zero)",fontsize=16,color="black",shape="box"];800 -> 994[label="",style="solid", color="black", weight=3]; 801[label="primEqInt (Neg Zero) (Pos (Succ xy37000))",fontsize=16,color="black",shape="box"];801 -> 995[label="",style="solid", color="black", weight=3]; 802[label="primEqInt (Neg Zero) (Pos Zero)",fontsize=16,color="black",shape="box"];802 -> 996[label="",style="solid", color="black", weight=3]; 803[label="primEqInt (Neg Zero) (Neg (Succ xy37000))",fontsize=16,color="black",shape="box"];803 -> 997[label="",style="solid", color="black", weight=3]; 804[label="primEqInt (Neg Zero) (Neg Zero)",fontsize=16,color="black",shape="box"];804 -> 998[label="",style="solid", color="black", weight=3]; 805[label="xy340",fontsize=16,color="green",shape="box"];806[label="xy3700",fontsize=16,color="green",shape="box"];807[label="xy340",fontsize=16,color="green",shape="box"];808[label="xy3700",fontsize=16,color="green",shape="box"];809[label="xy340",fontsize=16,color="green",shape="box"];810[label="xy3700",fontsize=16,color="green",shape="box"];811[label="xy340",fontsize=16,color="green",shape="box"];812[label="xy3700",fontsize=16,color="green",shape="box"];813[label="xy340",fontsize=16,color="green",shape="box"];814[label="xy3700",fontsize=16,color="green",shape="box"];815[label="xy340",fontsize=16,color="green",shape="box"];816[label="xy3700",fontsize=16,color="green",shape="box"];817[label="xy340",fontsize=16,color="green",shape="box"];818[label="xy3700",fontsize=16,color="green",shape="box"];819[label="xy340",fontsize=16,color="green",shape="box"];820[label="xy3700",fontsize=16,color="green",shape="box"];821[label="xy340",fontsize=16,color="green",shape="box"];822[label="xy3700",fontsize=16,color="green",shape="box"];823[label="xy340",fontsize=16,color="green",shape="box"];824[label="xy3700",fontsize=16,color="green",shape="box"];825[label="xy340",fontsize=16,color="green",shape="box"];826[label="xy3700",fontsize=16,color="green",shape="box"];827[label="xy340",fontsize=16,color="green",shape="box"];828[label="xy3700",fontsize=16,color="green",shape="box"];829[label="xy340",fontsize=16,color="green",shape="box"];830[label="xy3700",fontsize=16,color="green",shape="box"];831[label="xy340",fontsize=16,color="green",shape="box"];832[label="xy3700",fontsize=16,color="green",shape="box"];833[label="xy340",fontsize=16,color="green",shape="box"];834[label="xy3700",fontsize=16,color="green",shape="box"];835[label="xy340",fontsize=16,color="green",shape="box"];836[label="xy3700",fontsize=16,color="green",shape="box"];837[label="xy340",fontsize=16,color="green",shape="box"];838[label="xy3700",fontsize=16,color="green",shape="box"];839[label="xy340",fontsize=16,color="green",shape="box"];840[label="xy3700",fontsize=16,color="green",shape="box"];841[label="xy340",fontsize=16,color="green",shape="box"];842[label="xy3700",fontsize=16,color="green",shape="box"];843[label="xy340",fontsize=16,color="green",shape="box"];844[label="xy3700",fontsize=16,color="green",shape="box"];845[label="xy340",fontsize=16,color="green",shape="box"];846[label="xy3700",fontsize=16,color="green",shape="box"];847[label="xy340",fontsize=16,color="green",shape="box"];848[label="xy3700",fontsize=16,color="green",shape="box"];849[label="xy340",fontsize=16,color="green",shape="box"];850[label="xy3700",fontsize=16,color="green",shape="box"];851[label="xy340",fontsize=16,color="green",shape="box"];852[label="xy3700",fontsize=16,color="green",shape="box"];853[label="xy340",fontsize=16,color="green",shape="box"];854[label="xy3700",fontsize=16,color="green",shape="box"];855[label="xy340",fontsize=16,color="green",shape="box"];856[label="xy3700",fontsize=16,color="green",shape="box"];857[label="xy340",fontsize=16,color="green",shape="box"];858[label="xy3700",fontsize=16,color="green",shape="box"];859[label="xy340",fontsize=16,color="green",shape="box"];860[label="xy3700",fontsize=16,color="green",shape="box"];861 -> 593[label="",style="dashed", color="red", weight=0]; 861[label="xy340 == xy3700",fontsize=16,color="magenta"];861 -> 999[label="",style="dashed", color="magenta", weight=3]; 861 -> 1000[label="",style="dashed", color="magenta", weight=3]; 862 -> 594[label="",style="dashed", color="red", weight=0]; 862[label="xy340 == xy3700",fontsize=16,color="magenta"];862 -> 1001[label="",style="dashed", color="magenta", weight=3]; 862 -> 1002[label="",style="dashed", color="magenta", weight=3]; 863 -> 595[label="",style="dashed", color="red", weight=0]; 863[label="xy340 == xy3700",fontsize=16,color="magenta"];863 -> 1003[label="",style="dashed", color="magenta", weight=3]; 863 -> 1004[label="",style="dashed", color="magenta", weight=3]; 864 -> 596[label="",style="dashed", color="red", weight=0]; 864[label="xy340 == xy3700",fontsize=16,color="magenta"];864 -> 1005[label="",style="dashed", color="magenta", weight=3]; 864 -> 1006[label="",style="dashed", color="magenta", weight=3]; 865 -> 597[label="",style="dashed", color="red", weight=0]; 865[label="xy340 == xy3700",fontsize=16,color="magenta"];865 -> 1007[label="",style="dashed", color="magenta", weight=3]; 865 -> 1008[label="",style="dashed", color="magenta", weight=3]; 866 -> 598[label="",style="dashed", color="red", weight=0]; 866[label="xy340 == xy3700",fontsize=16,color="magenta"];866 -> 1009[label="",style="dashed", color="magenta", weight=3]; 866 -> 1010[label="",style="dashed", color="magenta", weight=3]; 867 -> 599[label="",style="dashed", color="red", weight=0]; 867[label="xy340 == xy3700",fontsize=16,color="magenta"];867 -> 1011[label="",style="dashed", color="magenta", weight=3]; 867 -> 1012[label="",style="dashed", color="magenta", weight=3]; 868 -> 600[label="",style="dashed", color="red", weight=0]; 868[label="xy340 == xy3700",fontsize=16,color="magenta"];868 -> 1013[label="",style="dashed", color="magenta", weight=3]; 868 -> 1014[label="",style="dashed", color="magenta", weight=3]; 869 -> 601[label="",style="dashed", color="red", weight=0]; 869[label="xy340 == xy3700",fontsize=16,color="magenta"];869 -> 1015[label="",style="dashed", color="magenta", weight=3]; 869 -> 1016[label="",style="dashed", color="magenta", weight=3]; 870 -> 602[label="",style="dashed", color="red", weight=0]; 870[label="xy340 == xy3700",fontsize=16,color="magenta"];870 -> 1017[label="",style="dashed", color="magenta", weight=3]; 870 -> 1018[label="",style="dashed", color="magenta", weight=3]; 871 -> 603[label="",style="dashed", color="red", weight=0]; 871[label="xy340 == xy3700",fontsize=16,color="magenta"];871 -> 1019[label="",style="dashed", color="magenta", weight=3]; 871 -> 1020[label="",style="dashed", color="magenta", weight=3]; 872 -> 604[label="",style="dashed", color="red", weight=0]; 872[label="xy340 == xy3700",fontsize=16,color="magenta"];872 -> 1021[label="",style="dashed", color="magenta", weight=3]; 872 -> 1022[label="",style="dashed", color="magenta", weight=3]; 873 -> 605[label="",style="dashed", color="red", weight=0]; 873[label="xy340 == xy3700",fontsize=16,color="magenta"];873 -> 1023[label="",style="dashed", color="magenta", weight=3]; 873 -> 1024[label="",style="dashed", color="magenta", weight=3]; 874 -> 606[label="",style="dashed", color="red", weight=0]; 874[label="xy340 == xy3700",fontsize=16,color="magenta"];874 -> 1025[label="",style="dashed", color="magenta", weight=3]; 874 -> 1026[label="",style="dashed", color="magenta", weight=3]; 875[label="xy341",fontsize=16,color="green",shape="box"];876[label="xy3701",fontsize=16,color="green",shape="box"];877[label="xy340",fontsize=16,color="green",shape="box"];878[label="xy3700",fontsize=16,color="green",shape="box"];879[label="xy340",fontsize=16,color="green",shape="box"];880[label="xy3700",fontsize=16,color="green",shape="box"];881[label="xy340",fontsize=16,color="green",shape="box"];882[label="xy3700",fontsize=16,color="green",shape="box"];883[label="xy340",fontsize=16,color="green",shape="box"];884[label="xy3700",fontsize=16,color="green",shape="box"];885[label="xy340",fontsize=16,color="green",shape="box"];886[label="xy3700",fontsize=16,color="green",shape="box"];887[label="xy340",fontsize=16,color="green",shape="box"];888[label="xy3700",fontsize=16,color="green",shape="box"];889[label="xy340",fontsize=16,color="green",shape="box"];890[label="xy3700",fontsize=16,color="green",shape="box"];891[label="xy340",fontsize=16,color="green",shape="box"];892[label="xy3700",fontsize=16,color="green",shape="box"];893[label="xy340",fontsize=16,color="green",shape="box"];894[label="xy3700",fontsize=16,color="green",shape="box"];895[label="xy340",fontsize=16,color="green",shape="box"];896[label="xy3700",fontsize=16,color="green",shape="box"];897[label="xy340",fontsize=16,color="green",shape="box"];898[label="xy3700",fontsize=16,color="green",shape="box"];899[label="xy340",fontsize=16,color="green",shape="box"];900[label="xy3700",fontsize=16,color="green",shape="box"];901[label="xy340",fontsize=16,color="green",shape="box"];902[label="xy3700",fontsize=16,color="green",shape="box"];903[label="xy340",fontsize=16,color="green",shape="box"];904[label="xy3700",fontsize=16,color="green",shape="box"];905 -> 593[label="",style="dashed", color="red", weight=0]; 905[label="xy340 == xy3700",fontsize=16,color="magenta"];905 -> 1027[label="",style="dashed", color="magenta", weight=3]; 905 -> 1028[label="",style="dashed", color="magenta", weight=3]; 906 -> 602[label="",style="dashed", color="red", weight=0]; 906[label="xy340 == xy3700",fontsize=16,color="magenta"];906 -> 1029[label="",style="dashed", color="magenta", weight=3]; 906 -> 1030[label="",style="dashed", color="magenta", weight=3]; 907 -> 593[label="",style="dashed", color="red", weight=0]; 907[label="xy341 == xy3701",fontsize=16,color="magenta"];907 -> 1031[label="",style="dashed", color="magenta", weight=3]; 907 -> 1032[label="",style="dashed", color="magenta", weight=3]; 908 -> 602[label="",style="dashed", color="red", weight=0]; 908[label="xy341 == xy3701",fontsize=16,color="magenta"];908 -> 1033[label="",style="dashed", color="magenta", weight=3]; 908 -> 1034[label="",style="dashed", color="magenta", weight=3]; 909 -> 593[label="",style="dashed", color="red", weight=0]; 909[label="xy340 == xy3700",fontsize=16,color="magenta"];909 -> 1035[label="",style="dashed", color="magenta", weight=3]; 909 -> 1036[label="",style="dashed", color="magenta", weight=3]; 910 -> 594[label="",style="dashed", color="red", weight=0]; 910[label="xy340 == xy3700",fontsize=16,color="magenta"];910 -> 1037[label="",style="dashed", color="magenta", weight=3]; 910 -> 1038[label="",style="dashed", color="magenta", weight=3]; 911 -> 595[label="",style="dashed", color="red", weight=0]; 911[label="xy340 == xy3700",fontsize=16,color="magenta"];911 -> 1039[label="",style="dashed", color="magenta", weight=3]; 911 -> 1040[label="",style="dashed", color="magenta", weight=3]; 912 -> 596[label="",style="dashed", color="red", weight=0]; 912[label="xy340 == xy3700",fontsize=16,color="magenta"];912 -> 1041[label="",style="dashed", color="magenta", weight=3]; 912 -> 1042[label="",style="dashed", color="magenta", weight=3]; 913 -> 597[label="",style="dashed", color="red", weight=0]; 913[label="xy340 == xy3700",fontsize=16,color="magenta"];913 -> 1043[label="",style="dashed", color="magenta", weight=3]; 913 -> 1044[label="",style="dashed", color="magenta", weight=3]; 914 -> 598[label="",style="dashed", color="red", weight=0]; 914[label="xy340 == xy3700",fontsize=16,color="magenta"];914 -> 1045[label="",style="dashed", color="magenta", weight=3]; 914 -> 1046[label="",style="dashed", color="magenta", weight=3]; 915 -> 599[label="",style="dashed", color="red", weight=0]; 915[label="xy340 == xy3700",fontsize=16,color="magenta"];915 -> 1047[label="",style="dashed", color="magenta", weight=3]; 915 -> 1048[label="",style="dashed", color="magenta", weight=3]; 916 -> 600[label="",style="dashed", color="red", weight=0]; 916[label="xy340 == xy3700",fontsize=16,color="magenta"];916 -> 1049[label="",style="dashed", color="magenta", weight=3]; 916 -> 1050[label="",style="dashed", color="magenta", weight=3]; 917 -> 601[label="",style="dashed", color="red", weight=0]; 917[label="xy340 == xy3700",fontsize=16,color="magenta"];917 -> 1051[label="",style="dashed", color="magenta", weight=3]; 917 -> 1052[label="",style="dashed", color="magenta", weight=3]; 918 -> 602[label="",style="dashed", color="red", weight=0]; 918[label="xy340 == xy3700",fontsize=16,color="magenta"];918 -> 1053[label="",style="dashed", color="magenta", weight=3]; 918 -> 1054[label="",style="dashed", color="magenta", weight=3]; 919 -> 603[label="",style="dashed", color="red", weight=0]; 919[label="xy340 == xy3700",fontsize=16,color="magenta"];919 -> 1055[label="",style="dashed", color="magenta", weight=3]; 919 -> 1056[label="",style="dashed", color="magenta", weight=3]; 920 -> 604[label="",style="dashed", color="red", weight=0]; 920[label="xy340 == xy3700",fontsize=16,color="magenta"];920 -> 1057[label="",style="dashed", color="magenta", weight=3]; 920 -> 1058[label="",style="dashed", color="magenta", weight=3]; 921 -> 605[label="",style="dashed", color="red", weight=0]; 921[label="xy340 == xy3700",fontsize=16,color="magenta"];921 -> 1059[label="",style="dashed", color="magenta", weight=3]; 921 -> 1060[label="",style="dashed", color="magenta", weight=3]; 922 -> 606[label="",style="dashed", color="red", weight=0]; 922[label="xy340 == xy3700",fontsize=16,color="magenta"];922 -> 1061[label="",style="dashed", color="magenta", weight=3]; 922 -> 1062[label="",style="dashed", color="magenta", weight=3]; 923[label="xy341 == xy3701",fontsize=16,color="blue",shape="box"];1498[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];923 -> 1498[label="",style="solid", color="blue", weight=9]; 1498 -> 1063[label="",style="solid", color="blue", weight=3]; 1499[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];923 -> 1499[label="",style="solid", color="blue", weight=9]; 1499 -> 1064[label="",style="solid", color="blue", weight=3]; 1500[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];923 -> 1500[label="",style="solid", color="blue", weight=9]; 1500 -> 1065[label="",style="solid", color="blue", weight=3]; 1501[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];923 -> 1501[label="",style="solid", color="blue", weight=9]; 1501 -> 1066[label="",style="solid", color="blue", weight=3]; 1502[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];923 -> 1502[label="",style="solid", color="blue", weight=9]; 1502 -> 1067[label="",style="solid", color="blue", weight=3]; 1503[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];923 -> 1503[label="",style="solid", color="blue", weight=9]; 1503 -> 1068[label="",style="solid", color="blue", weight=3]; 1504[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];923 -> 1504[label="",style="solid", color="blue", weight=9]; 1504 -> 1069[label="",style="solid", color="blue", weight=3]; 1505[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];923 -> 1505[label="",style="solid", color="blue", weight=9]; 1505 -> 1070[label="",style="solid", color="blue", weight=3]; 1506[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];923 -> 1506[label="",style="solid", color="blue", weight=9]; 1506 -> 1071[label="",style="solid", color="blue", weight=3]; 1507[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];923 -> 1507[label="",style="solid", color="blue", weight=9]; 1507 -> 1072[label="",style="solid", color="blue", weight=3]; 1508[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];923 -> 1508[label="",style="solid", color="blue", weight=9]; 1508 -> 1073[label="",style="solid", color="blue", weight=3]; 1509[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];923 -> 1509[label="",style="solid", color="blue", weight=9]; 1509 -> 1074[label="",style="solid", color="blue", weight=3]; 1510[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];923 -> 1510[label="",style="solid", color="blue", weight=9]; 1510 -> 1075[label="",style="solid", color="blue", weight=3]; 1511[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];923 -> 1511[label="",style="solid", color="blue", weight=9]; 1511 -> 1076[label="",style="solid", color="blue", weight=3]; 924[label="xy342 == xy3702",fontsize=16,color="blue",shape="box"];1512[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];924 -> 1512[label="",style="solid", color="blue", weight=9]; 1512 -> 1077[label="",style="solid", color="blue", weight=3]; 1513[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];924 -> 1513[label="",style="solid", color="blue", weight=9]; 1513 -> 1078[label="",style="solid", color="blue", weight=3]; 1514[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];924 -> 1514[label="",style="solid", color="blue", weight=9]; 1514 -> 1079[label="",style="solid", color="blue", weight=3]; 1515[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];924 -> 1515[label="",style="solid", color="blue", weight=9]; 1515 -> 1080[label="",style="solid", color="blue", weight=3]; 1516[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];924 -> 1516[label="",style="solid", color="blue", weight=9]; 1516 -> 1081[label="",style="solid", color="blue", weight=3]; 1517[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];924 -> 1517[label="",style="solid", color="blue", weight=9]; 1517 -> 1082[label="",style="solid", color="blue", weight=3]; 1518[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];924 -> 1518[label="",style="solid", color="blue", weight=9]; 1518 -> 1083[label="",style="solid", color="blue", weight=3]; 1519[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];924 -> 1519[label="",style="solid", color="blue", weight=9]; 1519 -> 1084[label="",style="solid", color="blue", weight=3]; 1520[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];924 -> 1520[label="",style="solid", color="blue", weight=9]; 1520 -> 1085[label="",style="solid", color="blue", weight=3]; 1521[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];924 -> 1521[label="",style="solid", color="blue", weight=9]; 1521 -> 1086[label="",style="solid", color="blue", weight=3]; 1522[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];924 -> 1522[label="",style="solid", color="blue", weight=9]; 1522 -> 1087[label="",style="solid", color="blue", weight=3]; 1523[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];924 -> 1523[label="",style="solid", color="blue", weight=9]; 1523 -> 1088[label="",style="solid", color="blue", weight=3]; 1524[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];924 -> 1524[label="",style="solid", color="blue", weight=9]; 1524 -> 1089[label="",style="solid", color="blue", weight=3]; 1525[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];924 -> 1525[label="",style="solid", color="blue", weight=9]; 1525 -> 1090[label="",style="solid", color="blue", weight=3]; 925[label="primEqNat (Succ xy3400) xy3700",fontsize=16,color="burlywood",shape="box"];1526[label="xy3700/Succ xy37000",fontsize=10,color="white",style="solid",shape="box"];925 -> 1526[label="",style="solid", color="burlywood", weight=9]; 1526 -> 1091[label="",style="solid", color="burlywood", weight=3]; 1527[label="xy3700/Zero",fontsize=10,color="white",style="solid",shape="box"];925 -> 1527[label="",style="solid", color="burlywood", weight=9]; 1527 -> 1092[label="",style="solid", color="burlywood", weight=3]; 926[label="primEqNat Zero xy3700",fontsize=16,color="burlywood",shape="box"];1528[label="xy3700/Succ xy37000",fontsize=10,color="white",style="solid",shape="box"];926 -> 1528[label="",style="solid", color="burlywood", weight=9]; 1528 -> 1093[label="",style="solid", color="burlywood", weight=3]; 1529[label="xy3700/Zero",fontsize=10,color="white",style="solid",shape="box"];926 -> 1529[label="",style="solid", color="burlywood", weight=9]; 1529 -> 1094[label="",style="solid", color="burlywood", weight=3]; 927 -> 593[label="",style="dashed", color="red", weight=0]; 927[label="xy340 == xy3700",fontsize=16,color="magenta"];927 -> 1095[label="",style="dashed", color="magenta", weight=3]; 927 -> 1096[label="",style="dashed", color="magenta", weight=3]; 928 -> 594[label="",style="dashed", color="red", weight=0]; 928[label="xy340 == xy3700",fontsize=16,color="magenta"];928 -> 1097[label="",style="dashed", color="magenta", weight=3]; 928 -> 1098[label="",style="dashed", color="magenta", weight=3]; 929 -> 595[label="",style="dashed", color="red", weight=0]; 929[label="xy340 == xy3700",fontsize=16,color="magenta"];929 -> 1099[label="",style="dashed", color="magenta", weight=3]; 929 -> 1100[label="",style="dashed", color="magenta", weight=3]; 930 -> 596[label="",style="dashed", color="red", weight=0]; 930[label="xy340 == xy3700",fontsize=16,color="magenta"];930 -> 1101[label="",style="dashed", color="magenta", weight=3]; 930 -> 1102[label="",style="dashed", color="magenta", weight=3]; 931 -> 597[label="",style="dashed", color="red", weight=0]; 931[label="xy340 == xy3700",fontsize=16,color="magenta"];931 -> 1103[label="",style="dashed", color="magenta", weight=3]; 931 -> 1104[label="",style="dashed", color="magenta", weight=3]; 932 -> 598[label="",style="dashed", color="red", weight=0]; 932[label="xy340 == xy3700",fontsize=16,color="magenta"];932 -> 1105[label="",style="dashed", color="magenta", weight=3]; 932 -> 1106[label="",style="dashed", color="magenta", weight=3]; 933 -> 599[label="",style="dashed", color="red", weight=0]; 933[label="xy340 == xy3700",fontsize=16,color="magenta"];933 -> 1107[label="",style="dashed", color="magenta", weight=3]; 933 -> 1108[label="",style="dashed", color="magenta", weight=3]; 934 -> 600[label="",style="dashed", color="red", weight=0]; 934[label="xy340 == xy3700",fontsize=16,color="magenta"];934 -> 1109[label="",style="dashed", color="magenta", weight=3]; 934 -> 1110[label="",style="dashed", color="magenta", weight=3]; 935 -> 601[label="",style="dashed", color="red", weight=0]; 935[label="xy340 == xy3700",fontsize=16,color="magenta"];935 -> 1111[label="",style="dashed", color="magenta", weight=3]; 935 -> 1112[label="",style="dashed", color="magenta", weight=3]; 936 -> 602[label="",style="dashed", color="red", weight=0]; 936[label="xy340 == xy3700",fontsize=16,color="magenta"];936 -> 1113[label="",style="dashed", color="magenta", weight=3]; 936 -> 1114[label="",style="dashed", color="magenta", weight=3]; 937 -> 603[label="",style="dashed", color="red", weight=0]; 937[label="xy340 == xy3700",fontsize=16,color="magenta"];937 -> 1115[label="",style="dashed", color="magenta", weight=3]; 937 -> 1116[label="",style="dashed", color="magenta", weight=3]; 938 -> 604[label="",style="dashed", color="red", weight=0]; 938[label="xy340 == xy3700",fontsize=16,color="magenta"];938 -> 1117[label="",style="dashed", color="magenta", weight=3]; 938 -> 1118[label="",style="dashed", color="magenta", weight=3]; 939 -> 605[label="",style="dashed", color="red", weight=0]; 939[label="xy340 == xy3700",fontsize=16,color="magenta"];939 -> 1119[label="",style="dashed", color="magenta", weight=3]; 939 -> 1120[label="",style="dashed", color="magenta", weight=3]; 940 -> 606[label="",style="dashed", color="red", weight=0]; 940[label="xy340 == xy3700",fontsize=16,color="magenta"];940 -> 1121[label="",style="dashed", color="magenta", weight=3]; 940 -> 1122[label="",style="dashed", color="magenta", weight=3]; 941 -> 593[label="",style="dashed", color="red", weight=0]; 941[label="xy341 == xy3701",fontsize=16,color="magenta"];941 -> 1123[label="",style="dashed", color="magenta", weight=3]; 941 -> 1124[label="",style="dashed", color="magenta", weight=3]; 942 -> 594[label="",style="dashed", color="red", weight=0]; 942[label="xy341 == xy3701",fontsize=16,color="magenta"];942 -> 1125[label="",style="dashed", color="magenta", weight=3]; 942 -> 1126[label="",style="dashed", color="magenta", weight=3]; 943 -> 595[label="",style="dashed", color="red", weight=0]; 943[label="xy341 == xy3701",fontsize=16,color="magenta"];943 -> 1127[label="",style="dashed", color="magenta", weight=3]; 943 -> 1128[label="",style="dashed", color="magenta", weight=3]; 944 -> 596[label="",style="dashed", color="red", weight=0]; 944[label="xy341 == xy3701",fontsize=16,color="magenta"];944 -> 1129[label="",style="dashed", color="magenta", weight=3]; 944 -> 1130[label="",style="dashed", color="magenta", weight=3]; 945 -> 597[label="",style="dashed", color="red", weight=0]; 945[label="xy341 == xy3701",fontsize=16,color="magenta"];945 -> 1131[label="",style="dashed", color="magenta", weight=3]; 945 -> 1132[label="",style="dashed", color="magenta", weight=3]; 946 -> 598[label="",style="dashed", color="red", weight=0]; 946[label="xy341 == xy3701",fontsize=16,color="magenta"];946 -> 1133[label="",style="dashed", color="magenta", weight=3]; 946 -> 1134[label="",style="dashed", color="magenta", weight=3]; 947 -> 599[label="",style="dashed", color="red", weight=0]; 947[label="xy341 == xy3701",fontsize=16,color="magenta"];947 -> 1135[label="",style="dashed", color="magenta", weight=3]; 947 -> 1136[label="",style="dashed", color="magenta", weight=3]; 948 -> 600[label="",style="dashed", color="red", weight=0]; 948[label="xy341 == xy3701",fontsize=16,color="magenta"];948 -> 1137[label="",style="dashed", color="magenta", weight=3]; 948 -> 1138[label="",style="dashed", color="magenta", weight=3]; 949 -> 601[label="",style="dashed", color="red", weight=0]; 949[label="xy341 == xy3701",fontsize=16,color="magenta"];949 -> 1139[label="",style="dashed", color="magenta", weight=3]; 949 -> 1140[label="",style="dashed", color="magenta", weight=3]; 950 -> 602[label="",style="dashed", color="red", weight=0]; 950[label="xy341 == xy3701",fontsize=16,color="magenta"];950 -> 1141[label="",style="dashed", color="magenta", weight=3]; 950 -> 1142[label="",style="dashed", color="magenta", weight=3]; 951 -> 603[label="",style="dashed", color="red", weight=0]; 951[label="xy341 == xy3701",fontsize=16,color="magenta"];951 -> 1143[label="",style="dashed", color="magenta", weight=3]; 951 -> 1144[label="",style="dashed", color="magenta", weight=3]; 952 -> 604[label="",style="dashed", color="red", weight=0]; 952[label="xy341 == xy3701",fontsize=16,color="magenta"];952 -> 1145[label="",style="dashed", color="magenta", weight=3]; 952 -> 1146[label="",style="dashed", color="magenta", weight=3]; 953 -> 605[label="",style="dashed", color="red", weight=0]; 953[label="xy341 == xy3701",fontsize=16,color="magenta"];953 -> 1147[label="",style="dashed", color="magenta", weight=3]; 953 -> 1148[label="",style="dashed", color="magenta", weight=3]; 954 -> 606[label="",style="dashed", color="red", weight=0]; 954[label="xy341 == xy3701",fontsize=16,color="magenta"];954 -> 1149[label="",style="dashed", color="magenta", weight=3]; 954 -> 1150[label="",style="dashed", color="magenta", weight=3]; 955[label="xy340 * xy3701",fontsize=16,color="black",shape="triangle"];955 -> 1151[label="",style="solid", color="black", weight=3]; 956 -> 955[label="",style="dashed", color="red", weight=0]; 956[label="xy341 * xy3700",fontsize=16,color="magenta"];956 -> 1152[label="",style="dashed", color="magenta", weight=3]; 956 -> 1153[label="",style="dashed", color="magenta", weight=3]; 957 -> 955[label="",style="dashed", color="red", weight=0]; 957[label="xy340 * xy3701",fontsize=16,color="magenta"];957 -> 1154[label="",style="dashed", color="magenta", weight=3]; 957 -> 1155[label="",style="dashed", color="magenta", weight=3]; 958 -> 955[label="",style="dashed", color="red", weight=0]; 958[label="xy341 * xy3700",fontsize=16,color="magenta"];958 -> 1156[label="",style="dashed", color="magenta", weight=3]; 958 -> 1157[label="",style="dashed", color="magenta", weight=3]; 959[label="xy330",fontsize=16,color="green",shape="box"];960[label="xy3710",fontsize=16,color="green",shape="box"];961[label="xy330",fontsize=16,color="green",shape="box"];962[label="xy3710",fontsize=16,color="green",shape="box"];963[label="xy330",fontsize=16,color="green",shape="box"];964[label="xy3710",fontsize=16,color="green",shape="box"];965[label="xy330",fontsize=16,color="green",shape="box"];966[label="xy3710",fontsize=16,color="green",shape="box"];967[label="xy330",fontsize=16,color="green",shape="box"];968[label="xy3710",fontsize=16,color="green",shape="box"];969[label="xy330",fontsize=16,color="green",shape="box"];970[label="xy3710",fontsize=16,color="green",shape="box"];971[label="xy330",fontsize=16,color="green",shape="box"];972[label="xy3710",fontsize=16,color="green",shape="box"];973[label="xy330",fontsize=16,color="green",shape="box"];974[label="xy3710",fontsize=16,color="green",shape="box"];975[label="xy330",fontsize=16,color="green",shape="box"];976[label="xy3710",fontsize=16,color="green",shape="box"];977[label="xy330",fontsize=16,color="green",shape="box"];978[label="xy3710",fontsize=16,color="green",shape="box"];979[label="xy330",fontsize=16,color="green",shape="box"];980[label="xy3710",fontsize=16,color="green",shape="box"];981[label="xy330",fontsize=16,color="green",shape="box"];982[label="xy3710",fontsize=16,color="green",shape="box"];983[label="xy330",fontsize=16,color="green",shape="box"];984[label="xy3710",fontsize=16,color="green",shape="box"];985[label="xy330",fontsize=16,color="green",shape="box"];986[label="xy3710",fontsize=16,color="green",shape="box"];987 -> 768[label="",style="dashed", color="red", weight=0]; 987[label="primEqNat xy3400 xy37000",fontsize=16,color="magenta"];987 -> 1158[label="",style="dashed", color="magenta", weight=3]; 987 -> 1159[label="",style="dashed", color="magenta", weight=3]; 988[label="False",fontsize=16,color="green",shape="box"];989[label="False",fontsize=16,color="green",shape="box"];990[label="True",fontsize=16,color="green",shape="box"];991[label="False",fontsize=16,color="green",shape="box"];992[label="True",fontsize=16,color="green",shape="box"];993 -> 768[label="",style="dashed", color="red", weight=0]; 993[label="primEqNat xy3400 xy37000",fontsize=16,color="magenta"];993 -> 1160[label="",style="dashed", color="magenta", weight=3]; 993 -> 1161[label="",style="dashed", color="magenta", weight=3]; 994[label="False",fontsize=16,color="green",shape="box"];995[label="False",fontsize=16,color="green",shape="box"];996[label="True",fontsize=16,color="green",shape="box"];997[label="False",fontsize=16,color="green",shape="box"];998[label="True",fontsize=16,color="green",shape="box"];999[label="xy340",fontsize=16,color="green",shape="box"];1000[label="xy3700",fontsize=16,color="green",shape="box"];1001[label="xy340",fontsize=16,color="green",shape="box"];1002[label="xy3700",fontsize=16,color="green",shape="box"];1003[label="xy340",fontsize=16,color="green",shape="box"];1004[label="xy3700",fontsize=16,color="green",shape="box"];1005[label="xy340",fontsize=16,color="green",shape="box"];1006[label="xy3700",fontsize=16,color="green",shape="box"];1007[label="xy340",fontsize=16,color="green",shape="box"];1008[label="xy3700",fontsize=16,color="green",shape="box"];1009[label="xy340",fontsize=16,color="green",shape="box"];1010[label="xy3700",fontsize=16,color="green",shape="box"];1011[label="xy340",fontsize=16,color="green",shape="box"];1012[label="xy3700",fontsize=16,color="green",shape="box"];1013[label="xy340",fontsize=16,color="green",shape="box"];1014[label="xy3700",fontsize=16,color="green",shape="box"];1015[label="xy340",fontsize=16,color="green",shape="box"];1016[label="xy3700",fontsize=16,color="green",shape="box"];1017[label="xy340",fontsize=16,color="green",shape="box"];1018[label="xy3700",fontsize=16,color="green",shape="box"];1019[label="xy340",fontsize=16,color="green",shape="box"];1020[label="xy3700",fontsize=16,color="green",shape="box"];1021[label="xy340",fontsize=16,color="green",shape="box"];1022[label="xy3700",fontsize=16,color="green",shape="box"];1023[label="xy340",fontsize=16,color="green",shape="box"];1024[label="xy3700",fontsize=16,color="green",shape="box"];1025[label="xy340",fontsize=16,color="green",shape="box"];1026[label="xy3700",fontsize=16,color="green",shape="box"];1027[label="xy340",fontsize=16,color="green",shape="box"];1028[label="xy3700",fontsize=16,color="green",shape="box"];1029[label="xy340",fontsize=16,color="green",shape="box"];1030[label="xy3700",fontsize=16,color="green",shape="box"];1031[label="xy341",fontsize=16,color="green",shape="box"];1032[label="xy3701",fontsize=16,color="green",shape="box"];1033[label="xy341",fontsize=16,color="green",shape="box"];1034[label="xy3701",fontsize=16,color="green",shape="box"];1035[label="xy340",fontsize=16,color="green",shape="box"];1036[label="xy3700",fontsize=16,color="green",shape="box"];1037[label="xy340",fontsize=16,color="green",shape="box"];1038[label="xy3700",fontsize=16,color="green",shape="box"];1039[label="xy340",fontsize=16,color="green",shape="box"];1040[label="xy3700",fontsize=16,color="green",shape="box"];1041[label="xy340",fontsize=16,color="green",shape="box"];1042[label="xy3700",fontsize=16,color="green",shape="box"];1043[label="xy340",fontsize=16,color="green",shape="box"];1044[label="xy3700",fontsize=16,color="green",shape="box"];1045[label="xy340",fontsize=16,color="green",shape="box"];1046[label="xy3700",fontsize=16,color="green",shape="box"];1047[label="xy340",fontsize=16,color="green",shape="box"];1048[label="xy3700",fontsize=16,color="green",shape="box"];1049[label="xy340",fontsize=16,color="green",shape="box"];1050[label="xy3700",fontsize=16,color="green",shape="box"];1051[label="xy340",fontsize=16,color="green",shape="box"];1052[label="xy3700",fontsize=16,color="green",shape="box"];1053[label="xy340",fontsize=16,color="green",shape="box"];1054[label="xy3700",fontsize=16,color="green",shape="box"];1055[label="xy340",fontsize=16,color="green",shape="box"];1056[label="xy3700",fontsize=16,color="green",shape="box"];1057[label="xy340",fontsize=16,color="green",shape="box"];1058[label="xy3700",fontsize=16,color="green",shape="box"];1059[label="xy340",fontsize=16,color="green",shape="box"];1060[label="xy3700",fontsize=16,color="green",shape="box"];1061[label="xy340",fontsize=16,color="green",shape="box"];1062[label="xy3700",fontsize=16,color="green",shape="box"];1063 -> 593[label="",style="dashed", color="red", weight=0]; 1063[label="xy341 == xy3701",fontsize=16,color="magenta"];1063 -> 1162[label="",style="dashed", color="magenta", weight=3]; 1063 -> 1163[label="",style="dashed", color="magenta", weight=3]; 1064 -> 594[label="",style="dashed", color="red", weight=0]; 1064[label="xy341 == xy3701",fontsize=16,color="magenta"];1064 -> 1164[label="",style="dashed", color="magenta", weight=3]; 1064 -> 1165[label="",style="dashed", color="magenta", weight=3]; 1065 -> 595[label="",style="dashed", color="red", weight=0]; 1065[label="xy341 == xy3701",fontsize=16,color="magenta"];1065 -> 1166[label="",style="dashed", color="magenta", weight=3]; 1065 -> 1167[label="",style="dashed", color="magenta", weight=3]; 1066 -> 596[label="",style="dashed", color="red", weight=0]; 1066[label="xy341 == xy3701",fontsize=16,color="magenta"];1066 -> 1168[label="",style="dashed", color="magenta", weight=3]; 1066 -> 1169[label="",style="dashed", color="magenta", weight=3]; 1067 -> 597[label="",style="dashed", color="red", weight=0]; 1067[label="xy341 == xy3701",fontsize=16,color="magenta"];1067 -> 1170[label="",style="dashed", color="magenta", weight=3]; 1067 -> 1171[label="",style="dashed", color="magenta", weight=3]; 1068 -> 598[label="",style="dashed", color="red", weight=0]; 1068[label="xy341 == xy3701",fontsize=16,color="magenta"];1068 -> 1172[label="",style="dashed", color="magenta", weight=3]; 1068 -> 1173[label="",style="dashed", color="magenta", weight=3]; 1069 -> 599[label="",style="dashed", color="red", weight=0]; 1069[label="xy341 == xy3701",fontsize=16,color="magenta"];1069 -> 1174[label="",style="dashed", color="magenta", weight=3]; 1069 -> 1175[label="",style="dashed", color="magenta", weight=3]; 1070 -> 600[label="",style="dashed", color="red", weight=0]; 1070[label="xy341 == xy3701",fontsize=16,color="magenta"];1070 -> 1176[label="",style="dashed", color="magenta", weight=3]; 1070 -> 1177[label="",style="dashed", color="magenta", weight=3]; 1071 -> 601[label="",style="dashed", color="red", weight=0]; 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1075[label="xy341 == xy3701",fontsize=16,color="magenta"];1075 -> 1186[label="",style="dashed", color="magenta", weight=3]; 1075 -> 1187[label="",style="dashed", color="magenta", weight=3]; 1076 -> 606[label="",style="dashed", color="red", weight=0]; 1076[label="xy341 == xy3701",fontsize=16,color="magenta"];1076 -> 1188[label="",style="dashed", color="magenta", weight=3]; 1076 -> 1189[label="",style="dashed", color="magenta", weight=3]; 1077 -> 593[label="",style="dashed", color="red", weight=0]; 1077[label="xy342 == xy3702",fontsize=16,color="magenta"];1077 -> 1190[label="",style="dashed", color="magenta", weight=3]; 1077 -> 1191[label="",style="dashed", color="magenta", weight=3]; 1078 -> 594[label="",style="dashed", color="red", weight=0]; 1078[label="xy342 == xy3702",fontsize=16,color="magenta"];1078 -> 1192[label="",style="dashed", color="magenta", weight=3]; 1078 -> 1193[label="",style="dashed", color="magenta", weight=3]; 1079 -> 595[label="",style="dashed", color="red", weight=0]; 1079[label="xy342 == xy3702",fontsize=16,color="magenta"];1079 -> 1194[label="",style="dashed", color="magenta", weight=3]; 1079 -> 1195[label="",style="dashed", color="magenta", weight=3]; 1080 -> 596[label="",style="dashed", color="red", weight=0]; 1080[label="xy342 == xy3702",fontsize=16,color="magenta"];1080 -> 1196[label="",style="dashed", color="magenta", weight=3]; 1080 -> 1197[label="",style="dashed", color="magenta", weight=3]; 1081 -> 597[label="",style="dashed", color="red", weight=0]; 1081[label="xy342 == xy3702",fontsize=16,color="magenta"];1081 -> 1198[label="",style="dashed", color="magenta", weight=3]; 1081 -> 1199[label="",style="dashed", color="magenta", weight=3]; 1082 -> 598[label="",style="dashed", color="red", weight=0]; 1082[label="xy342 == xy3702",fontsize=16,color="magenta"];1082 -> 1200[label="",style="dashed", color="magenta", weight=3]; 1082 -> 1201[label="",style="dashed", color="magenta", weight=3]; 1083 -> 599[label="",style="dashed", color="red", weight=0]; 1083[label="xy342 == xy3702",fontsize=16,color="magenta"];1083 -> 1202[label="",style="dashed", color="magenta", weight=3]; 1083 -> 1203[label="",style="dashed", color="magenta", weight=3]; 1084 -> 600[label="",style="dashed", color="red", weight=0]; 1084[label="xy342 == xy3702",fontsize=16,color="magenta"];1084 -> 1204[label="",style="dashed", color="magenta", weight=3]; 1084 -> 1205[label="",style="dashed", color="magenta", weight=3]; 1085 -> 601[label="",style="dashed", color="red", weight=0]; 1085[label="xy342 == xy3702",fontsize=16,color="magenta"];1085 -> 1206[label="",style="dashed", color="magenta", weight=3]; 1085 -> 1207[label="",style="dashed", color="magenta", weight=3]; 1086 -> 602[label="",style="dashed", color="red", weight=0]; 1086[label="xy342 == xy3702",fontsize=16,color="magenta"];1086 -> 1208[label="",style="dashed", color="magenta", weight=3]; 1086 -> 1209[label="",style="dashed", color="magenta", weight=3]; 1087 -> 603[label="",style="dashed", color="red", weight=0]; 1087[label="xy342 == xy3702",fontsize=16,color="magenta"];1087 -> 1210[label="",style="dashed", color="magenta", weight=3]; 1087 -> 1211[label="",style="dashed", color="magenta", weight=3]; 1088 -> 604[label="",style="dashed", color="red", weight=0]; 1088[label="xy342 == xy3702",fontsize=16,color="magenta"];1088 -> 1212[label="",style="dashed", color="magenta", weight=3]; 1088 -> 1213[label="",style="dashed", color="magenta", weight=3]; 1089 -> 605[label="",style="dashed", color="red", weight=0]; 1089[label="xy342 == xy3702",fontsize=16,color="magenta"];1089 -> 1214[label="",style="dashed", color="magenta", weight=3]; 1089 -> 1215[label="",style="dashed", color="magenta", weight=3]; 1090 -> 606[label="",style="dashed", color="red", weight=0]; 1090[label="xy342 == xy3702",fontsize=16,color="magenta"];1090 -> 1216[label="",style="dashed", color="magenta", weight=3]; 1090 -> 1217[label="",style="dashed", color="magenta", weight=3]; 1091[label="primEqNat (Succ xy3400) (Succ xy37000)",fontsize=16,color="black",shape="box"];1091 -> 1218[label="",style="solid", color="black", weight=3]; 1092[label="primEqNat (Succ xy3400) Zero",fontsize=16,color="black",shape="box"];1092 -> 1219[label="",style="solid", color="black", weight=3]; 1093[label="primEqNat Zero (Succ xy37000)",fontsize=16,color="black",shape="box"];1093 -> 1220[label="",style="solid", color="black", weight=3]; 1094[label="primEqNat Zero Zero",fontsize=16,color="black",shape="box"];1094 -> 1221[label="",style="solid", color="black", weight=3]; 1095[label="xy340",fontsize=16,color="green",shape="box"];1096[label="xy3700",fontsize=16,color="green",shape="box"];1097[label="xy340",fontsize=16,color="green",shape="box"];1098[label="xy3700",fontsize=16,color="green",shape="box"];1099[label="xy340",fontsize=16,color="green",shape="box"];1100[label="xy3700",fontsize=16,color="green",shape="box"];1101[label="xy340",fontsize=16,color="green",shape="box"];1102[label="xy3700",fontsize=16,color="green",shape="box"];1103[label="xy340",fontsize=16,color="green",shape="box"];1104[label="xy3700",fontsize=16,color="green",shape="box"];1105[label="xy340",fontsize=16,color="green",shape="box"];1106[label="xy3700",fontsize=16,color="green",shape="box"];1107[label="xy340",fontsize=16,color="green",shape="box"];1108[label="xy3700",fontsize=16,color="green",shape="box"];1109[label="xy340",fontsize=16,color="green",shape="box"];1110[label="xy3700",fontsize=16,color="green",shape="box"];1111[label="xy340",fontsize=16,color="green",shape="box"];1112[label="xy3700",fontsize=16,color="green",shape="box"];1113[label="xy340",fontsize=16,color="green",shape="box"];1114[label="xy3700",fontsize=16,color="green",shape="box"];1115[label="xy340",fontsize=16,color="green",shape="box"];1116[label="xy3700",fontsize=16,color="green",shape="box"];1117[label="xy340",fontsize=16,color="green",shape="box"];1118[label="xy3700",fontsize=16,color="green",shape="box"];1119[label="xy340",fontsize=16,color="green",shape="box"];1120[label="xy3700",fontsize=16,color="green",shape="box"];1121[label="xy340",fontsize=16,color="green",shape="box"];1122[label="xy3700",fontsize=16,color="green",shape="box"];1123[label="xy341",fontsize=16,color="green",shape="box"];1124[label="xy3701",fontsize=16,color="green",shape="box"];1125[label="xy341",fontsize=16,color="green",shape="box"];1126[label="xy3701",fontsize=16,color="green",shape="box"];1127[label="xy341",fontsize=16,color="green",shape="box"];1128[label="xy3701",fontsize=16,color="green",shape="box"];1129[label="xy341",fontsize=16,color="green",shape="box"];1130[label="xy3701",fontsize=16,color="green",shape="box"];1131[label="xy341",fontsize=16,color="green",shape="box"];1132[label="xy3701",fontsize=16,color="green",shape="box"];1133[label="xy341",fontsize=16,color="green",shape="box"];1134[label="xy3701",fontsize=16,color="green",shape="box"];1135[label="xy341",fontsize=16,color="green",shape="box"];1136[label="xy3701",fontsize=16,color="green",shape="box"];1137[label="xy341",fontsize=16,color="green",shape="box"];1138[label="xy3701",fontsize=16,color="green",shape="box"];1139[label="xy341",fontsize=16,color="green",shape="box"];1140[label="xy3701",fontsize=16,color="green",shape="box"];1141[label="xy341",fontsize=16,color="green",shape="box"];1142[label="xy3701",fontsize=16,color="green",shape="box"];1143[label="xy341",fontsize=16,color="green",shape="box"];1144[label="xy3701",fontsize=16,color="green",shape="box"];1145[label="xy341",fontsize=16,color="green",shape="box"];1146[label="xy3701",fontsize=16,color="green",shape="box"];1147[label="xy341",fontsize=16,color="green",shape="box"];1148[label="xy3701",fontsize=16,color="green",shape="box"];1149[label="xy341",fontsize=16,color="green",shape="box"];1150[label="xy3701",fontsize=16,color="green",shape="box"];1151[label="primMulInt xy340 xy3701",fontsize=16,color="burlywood",shape="box"];1530[label="xy340/Pos xy3400",fontsize=10,color="white",style="solid",shape="box"];1151 -> 1530[label="",style="solid", color="burlywood", weight=9]; 1530 -> 1222[label="",style="solid", color="burlywood", weight=3]; 1531[label="xy340/Neg xy3400",fontsize=10,color="white",style="solid",shape="box"];1151 -> 1531[label="",style="solid", color="burlywood", weight=9]; 1531 -> 1223[label="",style="solid", color="burlywood", weight=3]; 1152[label="xy341",fontsize=16,color="green",shape="box"];1153[label="xy3700",fontsize=16,color="green",shape="box"];1154[label="xy340",fontsize=16,color="green",shape="box"];1155[label="xy3701",fontsize=16,color="green",shape="box"];1156[label="xy341",fontsize=16,color="green",shape="box"];1157[label="xy3700",fontsize=16,color="green",shape="box"];1158[label="xy3400",fontsize=16,color="green",shape="box"];1159[label="xy37000",fontsize=16,color="green",shape="box"];1160[label="xy3400",fontsize=16,color="green",shape="box"];1161[label="xy37000",fontsize=16,color="green",shape="box"];1162[label="xy341",fontsize=16,color="green",shape="box"];1163[label="xy3701",fontsize=16,color="green",shape="box"];1164[label="xy341",fontsize=16,color="green",shape="box"];1165[label="xy3701",fontsize=16,color="green",shape="box"];1166[label="xy341",fontsize=16,color="green",shape="box"];1167[label="xy3701",fontsize=16,color="green",shape="box"];1168[label="xy341",fontsize=16,color="green",shape="box"];1169[label="xy3701",fontsize=16,color="green",shape="box"];1170[label="xy341",fontsize=16,color="green",shape="box"];1171[label="xy3701",fontsize=16,color="green",shape="box"];1172[label="xy341",fontsize=16,color="green",shape="box"];1173[label="xy3701",fontsize=16,color="green",shape="box"];1174[label="xy341",fontsize=16,color="green",shape="box"];1175[label="xy3701",fontsize=16,color="green",shape="box"];1176[label="xy341",fontsize=16,color="green",shape="box"];1177[label="xy3701",fontsize=16,color="green",shape="box"];1178[label="xy341",fontsize=16,color="green",shape="box"];1179[label="xy3701",fontsize=16,color="green",shape="box"];1180[label="xy341",fontsize=16,color="green",shape="box"];1181[label="xy3701",fontsize=16,color="green",shape="box"];1182[label="xy341",fontsize=16,color="green",shape="box"];1183[label="xy3701",fontsize=16,color="green",shape="box"];1184[label="xy341",fontsize=16,color="green",shape="box"];1185[label="xy3701",fontsize=16,color="green",shape="box"];1186[label="xy341",fontsize=16,color="green",shape="box"];1187[label="xy3701",fontsize=16,color="green",shape="box"];1188[label="xy341",fontsize=16,color="green",shape="box"];1189[label="xy3701",fontsize=16,color="green",shape="box"];1190[label="xy342",fontsize=16,color="green",shape="box"];1191[label="xy3702",fontsize=16,color="green",shape="box"];1192[label="xy342",fontsize=16,color="green",shape="box"];1193[label="xy3702",fontsize=16,color="green",shape="box"];1194[label="xy342",fontsize=16,color="green",shape="box"];1195[label="xy3702",fontsize=16,color="green",shape="box"];1196[label="xy342",fontsize=16,color="green",shape="box"];1197[label="xy3702",fontsize=16,color="green",shape="box"];1198[label="xy342",fontsize=16,color="green",shape="box"];1199[label="xy3702",fontsize=16,color="green",shape="box"];1200[label="xy342",fontsize=16,color="green",shape="box"];1201[label="xy3702",fontsize=16,color="green",shape="box"];1202[label="xy342",fontsize=16,color="green",shape="box"];1203[label="xy3702",fontsize=16,color="green",shape="box"];1204[label="xy342",fontsize=16,color="green",shape="box"];1205[label="xy3702",fontsize=16,color="green",shape="box"];1206[label="xy342",fontsize=16,color="green",shape="box"];1207[label="xy3702",fontsize=16,color="green",shape="box"];1208[label="xy342",fontsize=16,color="green",shape="box"];1209[label="xy3702",fontsize=16,color="green",shape="box"];1210[label="xy342",fontsize=16,color="green",shape="box"];1211[label="xy3702",fontsize=16,color="green",shape="box"];1212[label="xy342",fontsize=16,color="green",shape="box"];1213[label="xy3702",fontsize=16,color="green",shape="box"];1214[label="xy342",fontsize=16,color="green",shape="box"];1215[label="xy3702",fontsize=16,color="green",shape="box"];1216[label="xy342",fontsize=16,color="green",shape="box"];1217[label="xy3702",fontsize=16,color="green",shape="box"];1218 -> 768[label="",style="dashed", color="red", weight=0]; 1218[label="primEqNat xy3400 xy37000",fontsize=16,color="magenta"];1218 -> 1224[label="",style="dashed", color="magenta", weight=3]; 1218 -> 1225[label="",style="dashed", color="magenta", weight=3]; 1219[label="False",fontsize=16,color="green",shape="box"];1220[label="False",fontsize=16,color="green",shape="box"];1221[label="True",fontsize=16,color="green",shape="box"];1222[label="primMulInt (Pos xy3400) xy3701",fontsize=16,color="burlywood",shape="box"];1532[label="xy3701/Pos xy37010",fontsize=10,color="white",style="solid",shape="box"];1222 -> 1532[label="",style="solid", color="burlywood", weight=9]; 1532 -> 1226[label="",style="solid", color="burlywood", weight=3]; 1533[label="xy3701/Neg xy37010",fontsize=10,color="white",style="solid",shape="box"];1222 -> 1533[label="",style="solid", color="burlywood", weight=9]; 1533 -> 1227[label="",style="solid", color="burlywood", weight=3]; 1223[label="primMulInt (Neg xy3400) xy3701",fontsize=16,color="burlywood",shape="box"];1534[label="xy3701/Pos xy37010",fontsize=10,color="white",style="solid",shape="box"];1223 -> 1534[label="",style="solid", color="burlywood", weight=9]; 1534 -> 1228[label="",style="solid", color="burlywood", weight=3]; 1535[label="xy3701/Neg xy37010",fontsize=10,color="white",style="solid",shape="box"];1223 -> 1535[label="",style="solid", color="burlywood", weight=9]; 1535 -> 1229[label="",style="solid", color="burlywood", weight=3]; 1224[label="xy3400",fontsize=16,color="green",shape="box"];1225[label="xy37000",fontsize=16,color="green",shape="box"];1226[label="primMulInt (Pos xy3400) (Pos xy37010)",fontsize=16,color="black",shape="box"];1226 -> 1230[label="",style="solid", color="black", weight=3]; 1227[label="primMulInt (Pos xy3400) (Neg xy37010)",fontsize=16,color="black",shape="box"];1227 -> 1231[label="",style="solid", color="black", weight=3]; 1228[label="primMulInt (Neg xy3400) (Pos xy37010)",fontsize=16,color="black",shape="box"];1228 -> 1232[label="",style="solid", color="black", weight=3]; 1229[label="primMulInt (Neg xy3400) (Neg xy37010)",fontsize=16,color="black",shape="box"];1229 -> 1233[label="",style="solid", color="black", weight=3]; 1230[label="Pos (primMulNat xy3400 xy37010)",fontsize=16,color="green",shape="box"];1230 -> 1234[label="",style="dashed", color="green", weight=3]; 1231[label="Neg (primMulNat xy3400 xy37010)",fontsize=16,color="green",shape="box"];1231 -> 1235[label="",style="dashed", color="green", weight=3]; 1232[label="Neg (primMulNat xy3400 xy37010)",fontsize=16,color="green",shape="box"];1232 -> 1236[label="",style="dashed", color="green", weight=3]; 1233[label="Pos (primMulNat xy3400 xy37010)",fontsize=16,color="green",shape="box"];1233 -> 1237[label="",style="dashed", color="green", weight=3]; 1234[label="primMulNat xy3400 xy37010",fontsize=16,color="burlywood",shape="triangle"];1536[label="xy3400/Succ xy34000",fontsize=10,color="white",style="solid",shape="box"];1234 -> 1536[label="",style="solid", color="burlywood", weight=9]; 1536 -> 1238[label="",style="solid", color="burlywood", weight=3]; 1537[label="xy3400/Zero",fontsize=10,color="white",style="solid",shape="box"];1234 -> 1537[label="",style="solid", color="burlywood", weight=9]; 1537 -> 1239[label="",style="solid", color="burlywood", weight=3]; 1235 -> 1234[label="",style="dashed", color="red", weight=0]; 1235[label="primMulNat xy3400 xy37010",fontsize=16,color="magenta"];1235 -> 1240[label="",style="dashed", color="magenta", weight=3]; 1236 -> 1234[label="",style="dashed", color="red", weight=0]; 1236[label="primMulNat xy3400 xy37010",fontsize=16,color="magenta"];1236 -> 1241[label="",style="dashed", color="magenta", weight=3]; 1237 -> 1234[label="",style="dashed", color="red", weight=0]; 1237[label="primMulNat xy3400 xy37010",fontsize=16,color="magenta"];1237 -> 1242[label="",style="dashed", color="magenta", weight=3]; 1237 -> 1243[label="",style="dashed", color="magenta", weight=3]; 1238[label="primMulNat (Succ xy34000) xy37010",fontsize=16,color="burlywood",shape="box"];1538[label="xy37010/Succ xy370100",fontsize=10,color="white",style="solid",shape="box"];1238 -> 1538[label="",style="solid", color="burlywood", weight=9]; 1538 -> 1244[label="",style="solid", color="burlywood", weight=3]; 1539[label="xy37010/Zero",fontsize=10,color="white",style="solid",shape="box"];1238 -> 1539[label="",style="solid", color="burlywood", weight=9]; 1539 -> 1245[label="",style="solid", color="burlywood", weight=3]; 1239[label="primMulNat Zero xy37010",fontsize=16,color="burlywood",shape="box"];1540[label="xy37010/Succ xy370100",fontsize=10,color="white",style="solid",shape="box"];1239 -> 1540[label="",style="solid", color="burlywood", weight=9]; 1540 -> 1246[label="",style="solid", color="burlywood", weight=3]; 1541[label="xy37010/Zero",fontsize=10,color="white",style="solid",shape="box"];1239 -> 1541[label="",style="solid", color="burlywood", weight=9]; 1541 -> 1247[label="",style="solid", color="burlywood", weight=3]; 1240[label="xy37010",fontsize=16,color="green",shape="box"];1241[label="xy3400",fontsize=16,color="green",shape="box"];1242[label="xy37010",fontsize=16,color="green",shape="box"];1243[label="xy3400",fontsize=16,color="green",shape="box"];1244[label="primMulNat (Succ xy34000) (Succ xy370100)",fontsize=16,color="black",shape="box"];1244 -> 1248[label="",style="solid", color="black", weight=3]; 1245[label="primMulNat (Succ xy34000) Zero",fontsize=16,color="black",shape="box"];1245 -> 1249[label="",style="solid", color="black", weight=3]; 1246[label="primMulNat Zero (Succ xy370100)",fontsize=16,color="black",shape="box"];1246 -> 1250[label="",style="solid", color="black", weight=3]; 1247[label="primMulNat Zero Zero",fontsize=16,color="black",shape="box"];1247 -> 1251[label="",style="solid", color="black", weight=3]; 1248 -> 1252[label="",style="dashed", color="red", weight=0]; 1248[label="primPlusNat (primMulNat xy34000 (Succ xy370100)) (Succ xy370100)",fontsize=16,color="magenta"];1248 -> 1253[label="",style="dashed", color="magenta", weight=3]; 1249[label="Zero",fontsize=16,color="green",shape="box"];1250[label="Zero",fontsize=16,color="green",shape="box"];1251[label="Zero",fontsize=16,color="green",shape="box"];1253 -> 1234[label="",style="dashed", color="red", weight=0]; 1253[label="primMulNat xy34000 (Succ xy370100)",fontsize=16,color="magenta"];1253 -> 1254[label="",style="dashed", color="magenta", weight=3]; 1253 -> 1255[label="",style="dashed", color="magenta", weight=3]; 1252[label="primPlusNat xy51 (Succ xy370100)",fontsize=16,color="burlywood",shape="triangle"];1542[label="xy51/Succ xy510",fontsize=10,color="white",style="solid",shape="box"];1252 -> 1542[label="",style="solid", color="burlywood", weight=9]; 1542 -> 1256[label="",style="solid", color="burlywood", weight=3]; 1543[label="xy51/Zero",fontsize=10,color="white",style="solid",shape="box"];1252 -> 1543[label="",style="solid", color="burlywood", weight=9]; 1543 -> 1257[label="",style="solid", color="burlywood", weight=3]; 1254[label="Succ xy370100",fontsize=16,color="green",shape="box"];1255[label="xy34000",fontsize=16,color="green",shape="box"];1256[label="primPlusNat (Succ xy510) (Succ xy370100)",fontsize=16,color="black",shape="box"];1256 -> 1258[label="",style="solid", color="black", weight=3]; 1257[label="primPlusNat Zero (Succ xy370100)",fontsize=16,color="black",shape="box"];1257 -> 1259[label="",style="solid", color="black", weight=3]; 1258[label="Succ (Succ (primPlusNat xy510 xy370100))",fontsize=16,color="green",shape="box"];1258 -> 1260[label="",style="dashed", color="green", weight=3]; 1259[label="Succ xy370100",fontsize=16,color="green",shape="box"];1260[label="primPlusNat xy510 xy370100",fontsize=16,color="burlywood",shape="triangle"];1544[label="xy510/Succ xy5100",fontsize=10,color="white",style="solid",shape="box"];1260 -> 1544[label="",style="solid", color="burlywood", weight=9]; 1544 -> 1261[label="",style="solid", color="burlywood", weight=3]; 1545[label="xy510/Zero",fontsize=10,color="white",style="solid",shape="box"];1260 -> 1545[label="",style="solid", color="burlywood", weight=9]; 1545 -> 1262[label="",style="solid", color="burlywood", weight=3]; 1261[label="primPlusNat (Succ xy5100) xy370100",fontsize=16,color="burlywood",shape="box"];1546[label="xy370100/Succ xy3701000",fontsize=10,color="white",style="solid",shape="box"];1261 -> 1546[label="",style="solid", color="burlywood", weight=9]; 1546 -> 1263[label="",style="solid", color="burlywood", weight=3]; 1547[label="xy370100/Zero",fontsize=10,color="white",style="solid",shape="box"];1261 -> 1547[label="",style="solid", color="burlywood", weight=9]; 1547 -> 1264[label="",style="solid", color="burlywood", weight=3]; 1262[label="primPlusNat Zero xy370100",fontsize=16,color="burlywood",shape="box"];1548[label="xy370100/Succ xy3701000",fontsize=10,color="white",style="solid",shape="box"];1262 -> 1548[label="",style="solid", color="burlywood", weight=9]; 1548 -> 1265[label="",style="solid", color="burlywood", weight=3]; 1549[label="xy370100/Zero",fontsize=10,color="white",style="solid",shape="box"];1262 -> 1549[label="",style="solid", color="burlywood", weight=9]; 1549 -> 1266[label="",style="solid", color="burlywood", weight=3]; 1263[label="primPlusNat (Succ xy5100) (Succ xy3701000)",fontsize=16,color="black",shape="box"];1263 -> 1267[label="",style="solid", color="black", weight=3]; 1264[label="primPlusNat (Succ xy5100) Zero",fontsize=16,color="black",shape="box"];1264 -> 1268[label="",style="solid", color="black", weight=3]; 1265[label="primPlusNat Zero (Succ xy3701000)",fontsize=16,color="black",shape="box"];1265 -> 1269[label="",style="solid", color="black", weight=3]; 1266[label="primPlusNat Zero Zero",fontsize=16,color="black",shape="box"];1266 -> 1270[label="",style="solid", color="black", weight=3]; 1267[label="Succ (Succ (primPlusNat xy5100 xy3701000))",fontsize=16,color="green",shape="box"];1267 -> 1271[label="",style="dashed", color="green", weight=3]; 1268[label="Succ xy5100",fontsize=16,color="green",shape="box"];1269[label="Succ xy3701000",fontsize=16,color="green",shape="box"];1270[label="Zero",fontsize=16,color="green",shape="box"];1271 -> 1260[label="",style="dashed", color="red", weight=0]; 1271[label="primPlusNat xy5100 xy3701000",fontsize=16,color="magenta"];1271 -> 1272[label="",style="dashed", color="magenta", weight=3]; 1271 -> 1273[label="",style="dashed", color="magenta", weight=3]; 1272[label="xy5100",fontsize=16,color="green",shape="box"];1273[label="xy3701000",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(xy33, xy34, :(xy350, xy351), xy36, ba) -> new_isPrefixOf1(new_flip(xy33, xy34, ba), xy350, xy351, xy36, ba) The TRS R consists of the following rules: new_flip(xy33, xy34, ba) -> :(xy34, xy33) 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(xy33, xy34, :(xy350, xy351), xy36, ba) -> new_isPrefixOf1(new_flip(xy33, xy34, ba), xy350, xy351, xy36, ba) at position [0] we obtained the following new rules [LPAR04]: (new_isPrefixOf1(xy33, xy34, :(xy350, xy351), xy36, ba) -> new_isPrefixOf1(:(xy34, xy33), xy350, xy351, xy36, ba),new_isPrefixOf1(xy33, xy34, :(xy350, xy351), xy36, ba) -> new_isPrefixOf1(:(xy34, xy33), xy350, xy351, xy36, ba)) ---------------------------------------- (9) Obligation: Q DP problem: The TRS P consists of the following rules: new_isPrefixOf1(xy33, xy34, :(xy350, xy351), xy36, ba) -> new_isPrefixOf1(:(xy34, xy33), xy350, xy351, xy36, ba) The TRS R consists of the following rules: new_flip(xy33, xy34, ba) -> :(xy34, xy33) 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(xy33, xy34, :(xy350, xy351), xy36, ba) -> new_isPrefixOf1(:(xy34, xy33), xy350, xy351, xy36, 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(xy33, xy34, :(xy350, xy351), xy36, ba) -> new_isPrefixOf1(:(xy34, xy33), xy350, xy351, xy36, 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(xy33, xy34, :(xy350, xy351), xy36, ba) -> new_isPrefixOf1(:(xy34, xy33), xy350, xy351, xy36, 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(xy34, xy33, xy37, :(xy3610, xy3611), ba) -> new_isPrefixOf0(xy34, xy33, new_flip(xy37, xy3610, ba), xy3611, ba) The TRS R consists of the following rules: new_flip(xy33, xy34, ba) -> :(xy34, xy33) 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(xy34, xy33, xy37, :(xy3610, xy3611), ba) -> new_isPrefixOf0(xy34, xy33, new_flip(xy37, xy3610, ba), xy3611, ba) at position [2] we obtained the following new rules [LPAR04]: (new_isPrefixOf0(xy34, xy33, xy37, :(xy3610, xy3611), ba) -> new_isPrefixOf0(xy34, xy33, :(xy3610, xy37), xy3611, ba),new_isPrefixOf0(xy34, xy33, xy37, :(xy3610, xy3611), ba) -> new_isPrefixOf0(xy34, xy33, :(xy3610, xy37), xy3611, ba)) ---------------------------------------- (18) Obligation: Q DP problem: The TRS P consists of the following rules: new_isPrefixOf0(xy34, xy33, xy37, :(xy3610, xy3611), ba) -> new_isPrefixOf0(xy34, xy33, :(xy3610, xy37), xy3611, ba) The TRS R consists of the following rules: new_flip(xy33, xy34, ba) -> :(xy34, xy33) 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(xy34, xy33, xy37, :(xy3610, xy3611), ba) -> new_isPrefixOf0(xy34, xy33, :(xy3610, xy37), xy3611, 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(xy34, xy33, xy37, :(xy3610, xy3611), ba) -> new_isPrefixOf0(xy34, xy33, :(xy3610, xy37), xy3611, 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(xy34, xy33, xy37, :(xy3610, xy3611), ba) -> new_isPrefixOf0(xy34, xy33, :(xy3610, xy37), xy3611, 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_esEs2(@3(xy340, xy341, xy342), @3(xy3700, xy3701, xy3702), he, gd, app(ty_[], bba)) -> new_esEs0(xy342, xy3702, bba) new_esEs(Left(xy340), Left(xy3700), app(ty_[], bd), bc) -> new_esEs0(xy340, xy3700, bd) new_esEs3(@2(xy340, xy341), @2(xy3700, xy3701), bdb, app(app(ty_Either, bdc), bdd)) -> new_esEs(xy341, xy3701, bdc, bdd) new_esEs2(@3(xy340, xy341, xy342), @3(xy3700, xy3701, xy3702), app(ty_[], gf), gd, ge) -> new_esEs0(xy340, xy3700, gf) new_esEs2(@3(xy340, xy341, xy342), @3(xy3700, xy3701, xy3702), he, gd, app(app(ty_@2, bbf), bbg)) -> new_esEs3(xy342, xy3702, bbf, bbg) new_esEs(Left(xy340), Left(xy3700), app(app(ty_@2, ca), cb), bc) -> new_esEs3(xy340, xy3700, ca, cb) new_esEs(Left(xy340), Left(xy3700), app(app(app(ty_@3, bf), bg), bh), bc) -> new_esEs2(xy340, xy3700, bf, bg, bh) new_esEs2(@3(xy340, xy341, xy342), @3(xy3700, xy3701, xy3702), app(ty_Maybe, gg), gd, ge) -> new_esEs1(xy340, xy3700, gg) new_esEs2(@3(xy340, xy341, xy342), @3(xy3700, xy3701, xy3702), he, app(ty_[], hh), ge) -> new_esEs0(xy341, xy3701, hh) new_esEs1(Just(xy340), Just(xy3700), app(app(ty_Either, eh), fa)) -> new_esEs(xy340, xy3700, eh, fa) new_esEs0(:(xy340, xy341), :(xy3700, xy3701), app(app(ty_@2, ee), ef)) -> new_esEs3(xy340, xy3700, ee, ef) new_esEs(Right(xy340), Right(xy3700), cc, app(app(ty_@2, dd), de)) -> new_esEs3(xy340, xy3700, dd, de) new_esEs2(@3(xy340, xy341, xy342), @3(xy3700, xy3701, xy3702), app(app(ty_Either, gb), gc), gd, ge) -> new_esEs(xy340, xy3700, gb, gc) new_esEs2(@3(xy340, xy341, xy342), @3(xy3700, xy3701, xy3702), he, app(ty_Maybe, baa), ge) -> new_esEs1(xy341, xy3701, baa) new_esEs0(:(xy340, xy341), :(xy3700, xy3701), app(app(ty_Either, df), dg)) -> new_esEs(xy340, xy3700, df, dg) new_esEs2(@3(xy340, xy341, xy342), @3(xy3700, xy3701, xy3702), app(app(ty_@2, hc), hd), gd, ge) -> new_esEs3(xy340, xy3700, hc, hd) new_esEs0(:(xy340, xy341), :(xy3700, xy3701), app(ty_[], dh)) -> new_esEs0(xy340, xy3700, dh) new_esEs2(@3(xy340, xy341, xy342), @3(xy3700, xy3701, xy3702), he, app(app(ty_@2, bae), baf), ge) -> new_esEs3(xy341, xy3701, bae, baf) new_esEs2(@3(xy340, xy341, xy342), @3(xy3700, xy3701, xy3702), he, gd, app(ty_Maybe, bbb)) -> new_esEs1(xy342, xy3702, bbb) new_esEs0(:(xy340, xy341), :(xy3700, xy3701), app(app(app(ty_@3, eb), ec), ed)) -> new_esEs2(xy340, xy3700, eb, ec, ed) new_esEs1(Just(xy340), Just(xy3700), app(app(ty_@2, fh), ga)) -> new_esEs3(xy340, xy3700, fh, ga) new_esEs3(@2(xy340, xy341), @2(xy3700, xy3701), app(ty_Maybe, bcd), bcb) -> new_esEs1(xy340, xy3700, bcd) new_esEs2(@3(xy340, xy341, xy342), @3(xy3700, xy3701, xy3702), he, app(app(app(ty_@3, bab), bac), bad), ge) -> new_esEs2(xy341, xy3701, bab, bac, bad) new_esEs(Right(xy340), Right(xy3700), cc, app(ty_Maybe, cg)) -> new_esEs1(xy340, xy3700, cg) new_esEs3(@2(xy340, xy341), @2(xy3700, xy3701), bdb, app(app(ty_@2, beb), bec)) -> new_esEs3(xy341, xy3701, beb, bec) new_esEs3(@2(xy340, xy341), @2(xy3700, xy3701), bdb, app(ty_Maybe, bdf)) -> new_esEs1(xy341, xy3701, bdf) new_esEs2(@3(xy340, xy341, xy342), @3(xy3700, xy3701, xy3702), app(app(app(ty_@3, gh), ha), hb), gd, ge) -> new_esEs2(xy340, xy3700, gh, ha, hb) new_esEs(Right(xy340), Right(xy3700), cc, app(app(ty_Either, cd), ce)) -> new_esEs(xy340, xy3700, cd, ce) new_esEs2(@3(xy340, xy341, xy342), @3(xy3700, xy3701, xy3702), he, app(app(ty_Either, hf), hg), ge) -> new_esEs(xy341, xy3701, hf, hg) new_esEs0(:(xy340, xy341), :(xy3700, xy3701), eg) -> new_esEs0(xy341, xy3701, eg) new_esEs(Right(xy340), Right(xy3700), cc, app(app(app(ty_@3, da), db), dc)) -> new_esEs2(xy340, xy3700, da, db, dc) new_esEs0(:(xy340, xy341), :(xy3700, xy3701), app(ty_Maybe, ea)) -> new_esEs1(xy340, xy3700, ea) new_esEs1(Just(xy340), Just(xy3700), app(ty_[], fb)) -> new_esEs0(xy340, xy3700, fb) new_esEs3(@2(xy340, xy341), @2(xy3700, xy3701), app(ty_[], bcc), bcb) -> new_esEs0(xy340, xy3700, bcc) new_esEs3(@2(xy340, xy341), @2(xy3700, xy3701), bdb, app(ty_[], bde)) -> new_esEs0(xy341, xy3701, bde) new_esEs3(@2(xy340, xy341), @2(xy3700, xy3701), app(app(ty_@2, bch), bda), bcb) -> new_esEs3(xy340, xy3700, bch, bda) new_esEs3(@2(xy340, xy341), @2(xy3700, xy3701), app(app(app(ty_@3, bce), bcf), bcg), bcb) -> new_esEs2(xy340, xy3700, bce, bcf, bcg) new_esEs(Left(xy340), Left(xy3700), app(app(ty_Either, ba), bb), bc) -> new_esEs(xy340, xy3700, ba, bb) new_esEs2(@3(xy340, xy341, xy342), @3(xy3700, xy3701, xy3702), he, gd, app(app(ty_Either, bag), bah)) -> new_esEs(xy342, xy3702, bag, bah) new_esEs(Left(xy340), Left(xy3700), app(ty_Maybe, be), bc) -> new_esEs1(xy340, xy3700, be) new_esEs2(@3(xy340, xy341, xy342), @3(xy3700, xy3701, xy3702), he, gd, app(app(app(ty_@3, bbc), bbd), bbe)) -> new_esEs2(xy342, xy3702, bbc, bbd, bbe) new_esEs1(Just(xy340), Just(xy3700), app(ty_Maybe, fc)) -> new_esEs1(xy340, xy3700, fc) new_esEs3(@2(xy340, xy341), @2(xy3700, xy3701), app(app(ty_Either, bbh), bca), bcb) -> new_esEs(xy340, xy3700, bbh, bca) new_esEs(Right(xy340), Right(xy3700), cc, app(ty_[], cf)) -> new_esEs0(xy340, xy3700, cf) new_esEs3(@2(xy340, xy341), @2(xy3700, xy3701), bdb, app(app(app(ty_@3, bdg), bdh), bea)) -> new_esEs2(xy341, xy3701, bdg, bdh, bea) new_esEs1(Just(xy340), Just(xy3700), app(app(app(ty_@3, fd), ff), fg)) -> new_esEs2(xy340, xy3700, fd, ff, fg) 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_esEs0(:(xy340, xy341), :(xy3700, xy3701), app(app(app(ty_@3, eb), ec), ed)) -> new_esEs2(xy340, xy3700, eb, ec, ed) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 *new_esEs0(:(xy340, xy341), :(xy3700, xy3701), app(app(ty_Either, df), dg)) -> new_esEs(xy340, xy3700, df, dg) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs0(:(xy340, xy341), :(xy3700, xy3701), app(app(ty_@2, ee), ef)) -> new_esEs3(xy340, xy3700, ee, ef) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs1(Just(xy340), Just(xy3700), app(app(app(ty_@3, fd), ff), fg)) -> new_esEs2(xy340, xy3700, fd, ff, fg) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 *new_esEs1(Just(xy340), Just(xy3700), app(app(ty_Either, eh), fa)) -> new_esEs(xy340, xy3700, eh, fa) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs1(Just(xy340), Just(xy3700), app(app(ty_@2, fh), ga)) -> new_esEs3(xy340, xy3700, fh, ga) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs0(:(xy340, xy341), :(xy3700, xy3701), app(ty_Maybe, ea)) -> new_esEs1(xy340, xy3700, ea) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs1(Just(xy340), Just(xy3700), app(ty_Maybe, fc)) -> new_esEs1(xy340, xy3700, fc) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs1(Just(xy340), Just(xy3700), app(ty_[], fb)) -> new_esEs0(xy340, xy3700, fb) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs0(:(xy340, xy341), :(xy3700, xy3701), app(ty_[], dh)) -> new_esEs0(xy340, xy3700, dh) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs0(:(xy340, xy341), :(xy3700, xy3701), eg) -> new_esEs0(xy341, xy3701, eg) The graph contains the following edges 1 > 1, 2 > 2, 3 >= 3 *new_esEs(Left(xy340), Left(xy3700), app(app(app(ty_@3, bf), bg), bh), bc) -> new_esEs2(xy340, xy3700, bf, bg, bh) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 *new_esEs(Right(xy340), Right(xy3700), cc, app(app(app(ty_@3, da), db), dc)) -> new_esEs2(xy340, xy3700, da, db, dc) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4, 4 > 5 *new_esEs3(@2(xy340, xy341), @2(xy3700, xy3701), app(app(app(ty_@3, bce), bcf), bcg), bcb) -> new_esEs2(xy340, xy3700, bce, bcf, bcg) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 *new_esEs3(@2(xy340, xy341), @2(xy3700, xy3701), bdb, app(app(app(ty_@3, bdg), bdh), bea)) -> new_esEs2(xy341, xy3701, bdg, bdh, bea) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4, 4 > 5 *new_esEs2(@3(xy340, xy341, xy342), @3(xy3700, xy3701, xy3702), he, app(app(app(ty_@3, bab), bac), bad), ge) -> new_esEs2(xy341, xy3701, bab, bac, bad) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4, 4 > 5 *new_esEs2(@3(xy340, xy341, xy342), @3(xy3700, xy3701, xy3702), app(app(app(ty_@3, gh), ha), hb), gd, ge) -> new_esEs2(xy340, xy3700, gh, ha, hb) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 *new_esEs2(@3(xy340, xy341, xy342), @3(xy3700, xy3701, xy3702), he, gd, app(app(app(ty_@3, bbc), bbd), bbe)) -> new_esEs2(xy342, xy3702, bbc, bbd, bbe) The graph contains the following edges 1 > 1, 2 > 2, 5 > 3, 5 > 4, 5 > 5 *new_esEs(Right(xy340), Right(xy3700), cc, app(app(ty_Either, cd), ce)) -> new_esEs(xy340, xy3700, cd, ce) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 *new_esEs(Left(xy340), Left(xy3700), app(app(ty_Either, ba), bb), bc) -> new_esEs(xy340, xy3700, ba, bb) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs3(@2(xy340, xy341), @2(xy3700, xy3701), bdb, app(app(ty_Either, bdc), bdd)) -> new_esEs(xy341, xy3701, bdc, bdd) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 *new_esEs3(@2(xy340, xy341), @2(xy3700, xy3701), app(app(ty_Either, bbh), bca), bcb) -> new_esEs(xy340, xy3700, bbh, bca) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs2(@3(xy340, xy341, xy342), @3(xy3700, xy3701, xy3702), app(app(ty_Either, gb), gc), gd, ge) -> new_esEs(xy340, xy3700, gb, gc) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs2(@3(xy340, xy341, xy342), @3(xy3700, xy3701, xy3702), he, app(app(ty_Either, hf), hg), ge) -> new_esEs(xy341, xy3701, hf, hg) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 *new_esEs2(@3(xy340, xy341, xy342), @3(xy3700, xy3701, xy3702), he, gd, app(app(ty_Either, bag), bah)) -> new_esEs(xy342, xy3702, bag, bah) The graph contains the following edges 1 > 1, 2 > 2, 5 > 3, 5 > 4 *new_esEs(Left(xy340), Left(xy3700), app(app(ty_@2, ca), cb), bc) -> new_esEs3(xy340, xy3700, ca, cb) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs(Right(xy340), Right(xy3700), cc, app(app(ty_@2, dd), de)) -> new_esEs3(xy340, xy3700, dd, de) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 *new_esEs(Right(xy340), Right(xy3700), cc, app(ty_Maybe, cg)) -> new_esEs1(xy340, xy3700, cg) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 *new_esEs(Left(xy340), Left(xy3700), app(ty_Maybe, be), bc) -> new_esEs1(xy340, xy3700, be) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs(Left(xy340), Left(xy3700), app(ty_[], bd), bc) -> new_esEs0(xy340, xy3700, bd) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs(Right(xy340), Right(xy3700), cc, app(ty_[], cf)) -> new_esEs0(xy340, xy3700, cf) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 *new_esEs3(@2(xy340, xy341), @2(xy3700, xy3701), bdb, app(app(ty_@2, beb), bec)) -> new_esEs3(xy341, xy3701, beb, bec) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 *new_esEs3(@2(xy340, xy341), @2(xy3700, xy3701), app(app(ty_@2, bch), bda), bcb) -> new_esEs3(xy340, xy3700, bch, bda) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs2(@3(xy340, xy341, xy342), @3(xy3700, xy3701, xy3702), he, gd, app(app(ty_@2, bbf), bbg)) -> new_esEs3(xy342, xy3702, bbf, bbg) The graph contains the following edges 1 > 1, 2 > 2, 5 > 3, 5 > 4 *new_esEs2(@3(xy340, xy341, xy342), @3(xy3700, xy3701, xy3702), app(app(ty_@2, hc), hd), gd, ge) -> new_esEs3(xy340, xy3700, hc, hd) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs2(@3(xy340, xy341, xy342), @3(xy3700, xy3701, xy3702), he, app(app(ty_@2, bae), baf), ge) -> new_esEs3(xy341, xy3701, bae, baf) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 *new_esEs3(@2(xy340, xy341), @2(xy3700, xy3701), app(ty_Maybe, bcd), bcb) -> new_esEs1(xy340, xy3700, bcd) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs3(@2(xy340, xy341), @2(xy3700, xy3701), bdb, app(ty_Maybe, bdf)) -> new_esEs1(xy341, xy3701, bdf) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 *new_esEs3(@2(xy340, xy341), @2(xy3700, xy3701), app(ty_[], bcc), bcb) -> new_esEs0(xy340, xy3700, bcc) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs3(@2(xy340, xy341), @2(xy3700, xy3701), bdb, app(ty_[], bde)) -> new_esEs0(xy341, xy3701, bde) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 *new_esEs2(@3(xy340, xy341, xy342), @3(xy3700, xy3701, xy3702), app(ty_Maybe, gg), gd, ge) -> new_esEs1(xy340, xy3700, gg) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs2(@3(xy340, xy341, xy342), @3(xy3700, xy3701, xy3702), he, app(ty_Maybe, baa), ge) -> new_esEs1(xy341, xy3701, baa) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 *new_esEs2(@3(xy340, xy341, xy342), @3(xy3700, xy3701, xy3702), he, gd, app(ty_Maybe, bbb)) -> new_esEs1(xy342, xy3702, bbb) The graph contains the following edges 1 > 1, 2 > 2, 5 > 3 *new_esEs2(@3(xy340, xy341, xy342), @3(xy3700, xy3701, xy3702), he, gd, app(ty_[], bba)) -> new_esEs0(xy342, xy3702, bba) The graph contains the following edges 1 > 1, 2 > 2, 5 > 3 *new_esEs2(@3(xy340, xy341, xy342), @3(xy3700, xy3701, xy3702), app(ty_[], gf), gd, ge) -> new_esEs0(xy340, xy3700, gf) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs2(@3(xy340, xy341, xy342), @3(xy3700, xy3701, xy3702), he, app(ty_[], hh), ge) -> new_esEs0(xy341, xy3701, hh) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 ---------------------------------------- (27) YES ---------------------------------------- (28) Obligation: Q DP problem: The TRS P consists of the following rules: new_isPrefixOf(:(xy330, xy331), :(xy3710, xy3711), ba) -> new_isPrefixOf(xy331, xy3711, 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(:(xy330, xy331), :(xy3710, xy3711), ba) -> new_isPrefixOf(xy331, xy3711, 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(xy34000), Succ(xy370100)) -> new_primMulNat(xy34000, Succ(xy370100)) 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(xy34000), Succ(xy370100)) -> new_primMulNat(xy34000, Succ(xy370100)) 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(xy5100), Succ(xy3701000)) -> new_primPlusNat(xy5100, xy3701000) 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(xy5100), Succ(xy3701000)) -> new_primPlusNat(xy5100, xy3701000) 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(xy3400), Succ(xy37000)) -> new_primEqNat(xy3400, xy37000) 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(xy3400), Succ(xy37000)) -> new_primEqNat(xy3400, xy37000) The graph contains the following edges 1 > 1, 2 > 2 ---------------------------------------- (39) YES