12.28/4.98 YES 14.45/5.53 proof of /export/starexec/sandbox/benchmark/theBenchmark.hs 14.45/5.53 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 14.45/5.53 14.45/5.53 14.45/5.53 H-Termination with start terms of the given HASKELL could be proven: 14.45/5.53 14.45/5.53 (0) HASKELL 14.45/5.53 (1) BR [EQUIVALENT, 0 ms] 14.45/5.53 (2) HASKELL 14.45/5.53 (3) COR [EQUIVALENT, 15 ms] 14.45/5.53 (4) HASKELL 14.45/5.53 (5) Narrow [SOUND, 0 ms] 14.45/5.53 (6) AND 14.45/5.53 (7) QDP 14.45/5.53 (8) TransformationProof [EQUIVALENT, 0 ms] 14.45/5.53 (9) QDP 14.45/5.53 (10) UsableRulesProof [EQUIVALENT, 0 ms] 14.45/5.53 (11) QDP 14.45/5.53 (12) QReductionProof [EQUIVALENT, 0 ms] 14.45/5.53 (13) QDP 14.45/5.53 (14) QDPSizeChangeProof [EQUIVALENT, 0 ms] 14.45/5.53 (15) YES 14.45/5.53 (16) QDP 14.45/5.53 (17) TransformationProof [EQUIVALENT, 0 ms] 14.45/5.53 (18) QDP 14.45/5.53 (19) UsableRulesProof [EQUIVALENT, 0 ms] 14.45/5.53 (20) QDP 14.45/5.53 (21) QReductionProof [EQUIVALENT, 0 ms] 14.45/5.53 (22) QDP 14.45/5.53 (23) QDPSizeChangeProof [EQUIVALENT, 0 ms] 14.45/5.53 (24) YES 14.45/5.53 (25) QDP 14.45/5.53 (26) QDPSizeChangeProof [EQUIVALENT, 0 ms] 14.45/5.53 (27) YES 14.45/5.53 (28) QDP 14.45/5.53 (29) QDPSizeChangeProof [EQUIVALENT, 0 ms] 14.45/5.53 (30) YES 14.45/5.53 (31) QDP 14.45/5.53 (32) QDPSizeChangeProof [EQUIVALENT, 0 ms] 14.45/5.53 (33) YES 14.45/5.53 (34) QDP 14.45/5.53 (35) QDPSizeChangeProof [EQUIVALENT, 0 ms] 14.45/5.53 (36) YES 14.45/5.53 (37) QDP 14.45/5.53 (38) QDPSizeChangeProof [EQUIVALENT, 0 ms] 14.45/5.53 (39) YES 14.45/5.53 14.45/5.53 14.45/5.53 ---------------------------------------- 14.45/5.53 14.45/5.53 (0) 14.45/5.53 Obligation: 14.45/5.53 mainModule Main 14.45/5.53 module Maybe where { 14.45/5.53 import qualified List; 14.45/5.53 import qualified Main; 14.45/5.53 import qualified Prelude; 14.45/5.53 } 14.45/5.53 module List where { 14.45/5.53 import qualified Main; 14.45/5.53 import qualified Maybe; 14.45/5.53 import qualified Prelude; 14.45/5.53 isPrefixOf :: Eq a => [a] -> [a] -> Bool; 14.45/5.53 isPrefixOf [] _ = True; 14.45/5.53 isPrefixOf _ [] = False; 14.45/5.53 isPrefixOf (x : xs) (y : ys) = x == y && isPrefixOf xs ys; 14.45/5.53 14.45/5.53 isSuffixOf :: Eq a => [a] -> [a] -> Bool; 14.45/5.53 isSuffixOf x y = reverse x `isPrefixOf` reverse y; 14.45/5.53 14.45/5.53 } 14.45/5.53 module Main where { 14.45/5.53 import qualified List; 14.45/5.53 import qualified Maybe; 14.45/5.53 import qualified Prelude; 14.45/5.53 } 14.45/5.53 14.45/5.53 ---------------------------------------- 14.45/5.53 14.45/5.53 (1) BR (EQUIVALENT) 14.45/5.53 Replaced joker patterns by fresh variables and removed binding patterns. 14.45/5.53 ---------------------------------------- 14.45/5.53 14.45/5.53 (2) 14.45/5.53 Obligation: 14.45/5.53 mainModule Main 14.45/5.53 module Maybe where { 14.45/5.53 import qualified List; 14.45/5.53 import qualified Main; 14.45/5.53 import qualified Prelude; 14.45/5.53 } 14.45/5.53 module List where { 14.45/5.53 import qualified Main; 14.45/5.53 import qualified Maybe; 14.45/5.53 import qualified Prelude; 14.45/5.53 isPrefixOf :: Eq a => [a] -> [a] -> Bool; 14.45/5.53 isPrefixOf [] xw = True; 14.45/5.53 isPrefixOf xx [] = False; 14.45/5.53 isPrefixOf (x : xs) (y : ys) = x == y && isPrefixOf xs ys; 14.45/5.53 14.45/5.53 isSuffixOf :: Eq a => [a] -> [a] -> Bool; 14.45/5.53 isSuffixOf x y = reverse x `isPrefixOf` reverse y; 14.45/5.53 14.45/5.53 } 14.45/5.53 module Main where { 14.45/5.53 import qualified List; 14.45/5.53 import qualified Maybe; 14.45/5.53 import qualified Prelude; 14.45/5.53 } 14.45/5.53 14.45/5.53 ---------------------------------------- 14.45/5.53 14.45/5.53 (3) COR (EQUIVALENT) 14.45/5.53 Cond Reductions: 14.45/5.53 The following Function with conditions 14.45/5.53 "undefined |Falseundefined; 14.45/5.53 " 14.45/5.53 is transformed to 14.45/5.53 "undefined = undefined1; 14.45/5.53 " 14.45/5.53 "undefined0 True = undefined; 14.45/5.53 " 14.45/5.53 "undefined1 = undefined0 False; 14.45/5.53 " 14.45/5.53 14.45/5.53 ---------------------------------------- 14.45/5.53 14.45/5.53 (4) 14.45/5.53 Obligation: 14.45/5.53 mainModule Main 14.45/5.53 module Maybe where { 14.45/5.53 import qualified List; 14.45/5.53 import qualified Main; 14.45/5.53 import qualified Prelude; 14.45/5.53 } 14.45/5.53 module List where { 14.45/5.53 import qualified Main; 14.45/5.53 import qualified Maybe; 14.45/5.53 import qualified Prelude; 14.45/5.53 isPrefixOf :: Eq a => [a] -> [a] -> Bool; 14.45/5.53 isPrefixOf [] xw = True; 14.45/5.53 isPrefixOf xx [] = False; 14.45/5.53 isPrefixOf (x : xs) (y : ys) = x == y && isPrefixOf xs ys; 14.45/5.53 14.45/5.53 isSuffixOf :: Eq a => [a] -> [a] -> Bool; 14.45/5.53 isSuffixOf x y = reverse x `isPrefixOf` reverse y; 14.45/5.53 14.45/5.53 } 14.45/5.53 module Main where { 14.45/5.53 import qualified List; 14.45/5.53 import qualified Maybe; 14.45/5.53 import qualified Prelude; 14.45/5.53 } 14.45/5.53 14.45/5.53 ---------------------------------------- 14.45/5.53 14.45/5.53 (5) Narrow (SOUND) 14.45/5.53 Haskell To QDPs 14.45/5.53 14.45/5.53 digraph dp_graph { 14.45/5.53 node [outthreshold=100, inthreshold=100];1[label="List.isSuffixOf",fontsize=16,color="grey",shape="box"];1 -> 3[label="",style="dashed", color="grey", weight=3]; 14.45/5.53 3[label="List.isSuffixOf xy3",fontsize=16,color="grey",shape="box"];3 -> 4[label="",style="dashed", color="grey", weight=3]; 14.45/5.53 4[label="List.isSuffixOf xy3 xy4",fontsize=16,color="black",shape="triangle"];4 -> 5[label="",style="solid", color="black", weight=3]; 14.45/5.53 5[label="List.isPrefixOf (reverse xy3) (reverse xy4)",fontsize=16,color="black",shape="box"];5 -> 6[label="",style="solid", color="black", weight=3]; 14.45/5.53 6[label="List.isPrefixOf (foldl (flip (:)) [] xy3) (reverse xy4)",fontsize=16,color="burlywood",shape="box"];1285[label="xy3/xy30 : xy31",fontsize=10,color="white",style="solid",shape="box"];6 -> 1285[label="",style="solid", color="burlywood", weight=9]; 14.45/5.53 1285 -> 7[label="",style="solid", color="burlywood", weight=3]; 14.45/5.53 1286[label="xy3/[]",fontsize=10,color="white",style="solid",shape="box"];6 -> 1286[label="",style="solid", color="burlywood", weight=9]; 14.45/5.53 1286 -> 8[label="",style="solid", color="burlywood", weight=3]; 14.45/5.53 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]; 14.45/5.53 8[label="List.isPrefixOf (foldl (flip (:)) [] []) (reverse xy4)",fontsize=16,color="black",shape="box"];8 -> 10[label="",style="solid", color="black", weight=3]; 14.45/5.53 9 -> 340[label="",style="dashed", color="red", weight=0]; 14.45/5.53 9[label="List.isPrefixOf (foldl (flip (:)) (flip (:) [] xy30) xy31) (reverse xy4)",fontsize=16,color="magenta"];9 -> 341[label="",style="dashed", color="magenta", weight=3]; 14.45/5.53 9 -> 342[label="",style="dashed", color="magenta", weight=3]; 14.45/5.53 9 -> 343[label="",style="dashed", color="magenta", weight=3]; 14.45/5.53 9 -> 344[label="",style="dashed", color="magenta", weight=3]; 14.45/5.53 10[label="List.isPrefixOf [] (reverse xy4)",fontsize=16,color="black",shape="box"];10 -> 13[label="",style="solid", color="black", weight=3]; 14.45/5.53 341[label="xy31",fontsize=16,color="green",shape="box"];342[label="xy4",fontsize=16,color="green",shape="box"];343[label="[]",fontsize=16,color="green",shape="box"];344[label="xy30",fontsize=16,color="green",shape="box"];340[label="List.isPrefixOf (foldl (flip (:)) (flip (:) xy22 xy23) xy24) (reverse xy25)",fontsize=16,color="burlywood",shape="triangle"];1287[label="xy24/xy240 : xy241",fontsize=10,color="white",style="solid",shape="box"];340 -> 1287[label="",style="solid", color="burlywood", weight=9]; 14.45/5.53 1287 -> 377[label="",style="solid", color="burlywood", weight=3]; 14.45/5.53 1288[label="xy24/[]",fontsize=10,color="white",style="solid",shape="box"];340 -> 1288[label="",style="solid", color="burlywood", weight=9]; 14.45/5.53 1288 -> 378[label="",style="solid", color="burlywood", weight=3]; 14.45/5.53 13[label="True",fontsize=16,color="green",shape="box"];377[label="List.isPrefixOf (foldl (flip (:)) (flip (:) xy22 xy23) (xy240 : xy241)) (reverse xy25)",fontsize=16,color="black",shape="box"];377 -> 379[label="",style="solid", color="black", weight=3]; 14.45/5.53 378[label="List.isPrefixOf (foldl (flip (:)) (flip (:) xy22 xy23) []) (reverse xy25)",fontsize=16,color="black",shape="box"];378 -> 380[label="",style="solid", color="black", weight=3]; 14.45/5.53 379 -> 340[label="",style="dashed", color="red", weight=0]; 14.45/5.53 379[label="List.isPrefixOf (foldl (flip (:)) (flip (:) (flip (:) xy22 xy23) xy240) xy241) (reverse xy25)",fontsize=16,color="magenta"];379 -> 381[label="",style="dashed", color="magenta", weight=3]; 14.45/5.53 379 -> 382[label="",style="dashed", color="magenta", weight=3]; 14.45/5.53 379 -> 383[label="",style="dashed", color="magenta", weight=3]; 14.45/5.53 380[label="List.isPrefixOf (flip (:) xy22 xy23) (reverse xy25)",fontsize=16,color="black",shape="box"];380 -> 384[label="",style="solid", color="black", weight=3]; 14.45/5.53 381[label="xy241",fontsize=16,color="green",shape="box"];382[label="flip (:) xy22 xy23",fontsize=16,color="black",shape="triangle"];382 -> 385[label="",style="solid", color="black", weight=3]; 14.45/5.53 383[label="xy240",fontsize=16,color="green",shape="box"];384[label="List.isPrefixOf ((:) xy23 xy22) (reverse xy25)",fontsize=16,color="black",shape="box"];384 -> 386[label="",style="solid", color="black", weight=3]; 14.45/5.53 385[label="(:) xy23 xy22",fontsize=16,color="green",shape="box"];386 -> 391[label="",style="dashed", color="red", weight=0]; 14.45/5.53 386[label="List.isPrefixOf ((:) xy23 xy22) (foldl (flip (:)) [] xy25)",fontsize=16,color="magenta"];386 -> 392[label="",style="dashed", color="magenta", weight=3]; 14.45/5.53 386 -> 393[label="",style="dashed", color="magenta", weight=3]; 14.45/5.53 392[label="xy25",fontsize=16,color="green",shape="box"];393[label="[]",fontsize=16,color="green",shape="box"];391[label="List.isPrefixOf ((:) xy23 xy22) (foldl (flip (:)) xy26 xy251)",fontsize=16,color="burlywood",shape="triangle"];1289[label="xy251/xy2510 : xy2511",fontsize=10,color="white",style="solid",shape="box"];391 -> 1289[label="",style="solid", color="burlywood", weight=9]; 14.45/5.53 1289 -> 395[label="",style="solid", color="burlywood", weight=3]; 14.45/5.53 1290[label="xy251/[]",fontsize=10,color="white",style="solid",shape="box"];391 -> 1290[label="",style="solid", color="burlywood", weight=9]; 14.45/5.53 1290 -> 396[label="",style="solid", color="burlywood", weight=3]; 14.45/5.53 395[label="List.isPrefixOf ((:) xy23 xy22) (foldl (flip (:)) xy26 (xy2510 : xy2511))",fontsize=16,color="black",shape="box"];395 -> 397[label="",style="solid", color="black", weight=3]; 14.45/5.53 396[label="List.isPrefixOf ((:) xy23 xy22) (foldl (flip (:)) xy26 [])",fontsize=16,color="black",shape="box"];396 -> 398[label="",style="solid", color="black", weight=3]; 14.45/5.53 397 -> 391[label="",style="dashed", color="red", weight=0]; 14.45/5.53 397[label="List.isPrefixOf ((:) xy23 xy22) (foldl (flip (:)) (flip (:) xy26 xy2510) xy2511)",fontsize=16,color="magenta"];397 -> 399[label="",style="dashed", color="magenta", weight=3]; 14.45/5.53 397 -> 400[label="",style="dashed", color="magenta", weight=3]; 14.45/5.53 398[label="List.isPrefixOf ((:) xy23 xy22) xy26",fontsize=16,color="burlywood",shape="box"];1291[label="xy26/xy260 : xy261",fontsize=10,color="white",style="solid",shape="box"];398 -> 1291[label="",style="solid", color="burlywood", weight=9]; 14.45/5.53 1291 -> 401[label="",style="solid", color="burlywood", weight=3]; 14.45/5.53 1292[label="xy26/[]",fontsize=10,color="white",style="solid",shape="box"];398 -> 1292[label="",style="solid", color="burlywood", weight=9]; 14.45/5.53 1292 -> 402[label="",style="solid", color="burlywood", weight=3]; 14.45/5.53 399[label="xy2511",fontsize=16,color="green",shape="box"];400 -> 382[label="",style="dashed", color="red", weight=0]; 14.45/5.53 400[label="flip (:) xy26 xy2510",fontsize=16,color="magenta"];400 -> 403[label="",style="dashed", color="magenta", weight=3]; 14.45/5.53 400 -> 404[label="",style="dashed", color="magenta", weight=3]; 14.45/5.53 401[label="List.isPrefixOf ((:) xy23 xy22) (xy260 : xy261)",fontsize=16,color="black",shape="box"];401 -> 405[label="",style="solid", color="black", weight=3]; 14.45/5.53 402[label="List.isPrefixOf ((:) xy23 xy22) []",fontsize=16,color="black",shape="box"];402 -> 406[label="",style="solid", color="black", weight=3]; 14.45/5.53 403[label="xy26",fontsize=16,color="green",shape="box"];404[label="xy2510",fontsize=16,color="green",shape="box"];405 -> 599[label="",style="dashed", color="red", weight=0]; 14.45/5.53 405[label="xy23 == xy260 && List.isPrefixOf xy22 xy261",fontsize=16,color="magenta"];405 -> 600[label="",style="dashed", color="magenta", weight=3]; 14.45/5.53 405 -> 601[label="",style="dashed", color="magenta", weight=3]; 14.45/5.53 406[label="False",fontsize=16,color="green",shape="box"];600[label="xy23 == xy260",fontsize=16,color="blue",shape="box"];1293[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];600 -> 1293[label="",style="solid", color="blue", weight=9]; 14.45/5.53 1293 -> 604[label="",style="solid", color="blue", weight=3]; 14.45/5.53 1294[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];600 -> 1294[label="",style="solid", color="blue", weight=9]; 14.45/5.53 1294 -> 605[label="",style="solid", color="blue", weight=3]; 14.45/5.53 1295[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];600 -> 1295[label="",style="solid", color="blue", weight=9]; 14.45/5.53 1295 -> 606[label="",style="solid", color="blue", weight=3]; 14.45/5.53 1296[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];600 -> 1296[label="",style="solid", color="blue", weight=9]; 14.45/5.53 1296 -> 607[label="",style="solid", color="blue", weight=3]; 14.45/5.53 1297[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];600 -> 1297[label="",style="solid", color="blue", weight=9]; 14.45/5.53 1297 -> 608[label="",style="solid", color="blue", weight=3]; 14.45/5.53 1298[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];600 -> 1298[label="",style="solid", color="blue", weight=9]; 14.45/5.53 1298 -> 609[label="",style="solid", color="blue", weight=3]; 14.45/5.53 1299[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];600 -> 1299[label="",style="solid", color="blue", weight=9]; 14.45/5.53 1299 -> 610[label="",style="solid", color="blue", weight=3]; 14.45/5.53 1300[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];600 -> 1300[label="",style="solid", color="blue", weight=9]; 14.45/5.53 1300 -> 611[label="",style="solid", color="blue", weight=3]; 14.45/5.53 1301[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];600 -> 1301[label="",style="solid", color="blue", weight=9]; 14.45/5.53 1301 -> 612[label="",style="solid", color="blue", weight=3]; 14.45/5.53 1302[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];600 -> 1302[label="",style="solid", color="blue", weight=9]; 14.45/5.53 1302 -> 613[label="",style="solid", color="blue", weight=3]; 14.45/5.53 1303[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];600 -> 1303[label="",style="solid", color="blue", weight=9]; 14.45/5.53 1303 -> 614[label="",style="solid", color="blue", weight=3]; 14.45/5.53 1304[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];600 -> 1304[label="",style="solid", color="blue", weight=9]; 14.45/5.53 1304 -> 615[label="",style="solid", color="blue", weight=3]; 14.45/5.53 1305[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];600 -> 1305[label="",style="solid", color="blue", weight=9]; 14.45/5.53 1305 -> 616[label="",style="solid", color="blue", weight=3]; 14.45/5.53 1306[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];600 -> 1306[label="",style="solid", color="blue", weight=9]; 14.45/5.53 1306 -> 617[label="",style="solid", color="blue", weight=3]; 14.45/5.53 601[label="List.isPrefixOf xy22 xy261",fontsize=16,color="burlywood",shape="triangle"];1307[label="xy22/xy220 : xy221",fontsize=10,color="white",style="solid",shape="box"];601 -> 1307[label="",style="solid", color="burlywood", weight=9]; 14.45/5.53 1307 -> 618[label="",style="solid", color="burlywood", weight=3]; 14.45/5.53 1308[label="xy22/[]",fontsize=10,color="white",style="solid",shape="box"];601 -> 1308[label="",style="solid", color="burlywood", weight=9]; 14.45/5.53 1308 -> 619[label="",style="solid", color="burlywood", weight=3]; 14.45/5.53 599[label="xy45 && xy46",fontsize=16,color="burlywood",shape="triangle"];1309[label="xy45/False",fontsize=10,color="white",style="solid",shape="box"];599 -> 1309[label="",style="solid", color="burlywood", weight=9]; 14.45/5.53 1309 -> 620[label="",style="solid", color="burlywood", weight=3]; 14.45/5.53 1310[label="xy45/True",fontsize=10,color="white",style="solid",shape="box"];599 -> 1310[label="",style="solid", color="burlywood", weight=9]; 14.45/5.53 1310 -> 621[label="",style="solid", color="burlywood", weight=3]; 14.45/5.53 604[label="xy23 == xy260",fontsize=16,color="burlywood",shape="triangle"];1311[label="xy23/Left xy230",fontsize=10,color="white",style="solid",shape="box"];604 -> 1311[label="",style="solid", color="burlywood", weight=9]; 14.45/5.53 1311 -> 622[label="",style="solid", color="burlywood", weight=3]; 14.45/5.53 1312[label="xy23/Right xy230",fontsize=10,color="white",style="solid",shape="box"];604 -> 1312[label="",style="solid", color="burlywood", weight=9]; 14.45/5.53 1312 -> 623[label="",style="solid", color="burlywood", weight=3]; 14.45/5.53 605[label="xy23 == xy260",fontsize=16,color="burlywood",shape="triangle"];1313[label="xy23/(xy230,xy231)",fontsize=10,color="white",style="solid",shape="box"];605 -> 1313[label="",style="solid", color="burlywood", weight=9]; 14.45/5.53 1313 -> 624[label="",style="solid", color="burlywood", weight=3]; 14.45/5.53 606[label="xy23 == xy260",fontsize=16,color="black",shape="triangle"];606 -> 625[label="",style="solid", color="black", weight=3]; 14.45/5.53 607[label="xy23 == xy260",fontsize=16,color="black",shape="triangle"];607 -> 626[label="",style="solid", color="black", weight=3]; 14.45/5.53 608[label="xy23 == xy260",fontsize=16,color="burlywood",shape="triangle"];1314[label="xy23/xy230 :% xy231",fontsize=10,color="white",style="solid",shape="box"];608 -> 1314[label="",style="solid", color="burlywood", weight=9]; 14.45/5.53 1314 -> 627[label="",style="solid", color="burlywood", weight=3]; 14.45/5.53 609[label="xy23 == xy260",fontsize=16,color="burlywood",shape="triangle"];1315[label="xy23/Integer xy230",fontsize=10,color="white",style="solid",shape="box"];609 -> 1315[label="",style="solid", color="burlywood", weight=9]; 14.45/5.53 1315 -> 628[label="",style="solid", color="burlywood", weight=3]; 14.45/5.53 610[label="xy23 == xy260",fontsize=16,color="black",shape="triangle"];610 -> 629[label="",style="solid", color="black", weight=3]; 14.45/5.53 611[label="xy23 == xy260",fontsize=16,color="burlywood",shape="triangle"];1316[label="xy23/Nothing",fontsize=10,color="white",style="solid",shape="box"];611 -> 1316[label="",style="solid", color="burlywood", weight=9]; 14.45/5.53 1316 -> 630[label="",style="solid", color="burlywood", weight=3]; 14.45/5.53 1317[label="xy23/Just xy230",fontsize=10,color="white",style="solid",shape="box"];611 -> 1317[label="",style="solid", color="burlywood", weight=9]; 14.45/5.53 1317 -> 631[label="",style="solid", color="burlywood", weight=3]; 14.45/5.53 612[label="xy23 == xy260",fontsize=16,color="burlywood",shape="triangle"];1318[label="xy23/(xy230,xy231,xy232)",fontsize=10,color="white",style="solid",shape="box"];612 -> 1318[label="",style="solid", color="burlywood", weight=9]; 14.45/5.53 1318 -> 632[label="",style="solid", color="burlywood", weight=3]; 14.45/5.53 613[label="xy23 == xy260",fontsize=16,color="black",shape="triangle"];613 -> 633[label="",style="solid", color="black", weight=3]; 14.45/5.53 614[label="xy23 == xy260",fontsize=16,color="burlywood",shape="triangle"];1319[label="xy23/()",fontsize=10,color="white",style="solid",shape="box"];614 -> 1319[label="",style="solid", color="burlywood", weight=9]; 14.45/5.53 1319 -> 634[label="",style="solid", color="burlywood", weight=3]; 14.45/5.53 615[label="xy23 == xy260",fontsize=16,color="burlywood",shape="triangle"];1320[label="xy23/xy230 : xy231",fontsize=10,color="white",style="solid",shape="box"];615 -> 1320[label="",style="solid", color="burlywood", weight=9]; 14.45/5.53 1320 -> 635[label="",style="solid", color="burlywood", weight=3]; 14.45/5.53 1321[label="xy23/[]",fontsize=10,color="white",style="solid",shape="box"];615 -> 1321[label="",style="solid", color="burlywood", weight=9]; 14.45/5.53 1321 -> 636[label="",style="solid", color="burlywood", weight=3]; 14.45/5.53 616[label="xy23 == xy260",fontsize=16,color="burlywood",shape="triangle"];1322[label="xy23/False",fontsize=10,color="white",style="solid",shape="box"];616 -> 1322[label="",style="solid", color="burlywood", weight=9]; 14.45/5.53 1322 -> 637[label="",style="solid", color="burlywood", weight=3]; 14.45/5.53 1323[label="xy23/True",fontsize=10,color="white",style="solid",shape="box"];616 -> 1323[label="",style="solid", color="burlywood", weight=9]; 14.45/5.53 1323 -> 638[label="",style="solid", color="burlywood", weight=3]; 14.45/5.53 617[label="xy23 == xy260",fontsize=16,color="burlywood",shape="triangle"];1324[label="xy23/LT",fontsize=10,color="white",style="solid",shape="box"];617 -> 1324[label="",style="solid", color="burlywood", weight=9]; 14.45/5.53 1324 -> 639[label="",style="solid", color="burlywood", weight=3]; 14.45/5.53 1325[label="xy23/EQ",fontsize=10,color="white",style="solid",shape="box"];617 -> 1325[label="",style="solid", color="burlywood", weight=9]; 14.45/5.53 1325 -> 640[label="",style="solid", color="burlywood", weight=3]; 14.45/5.53 1326[label="xy23/GT",fontsize=10,color="white",style="solid",shape="box"];617 -> 1326[label="",style="solid", color="burlywood", weight=9]; 14.45/5.53 1326 -> 641[label="",style="solid", color="burlywood", weight=3]; 14.45/5.53 618[label="List.isPrefixOf (xy220 : xy221) xy261",fontsize=16,color="burlywood",shape="box"];1327[label="xy261/xy2610 : xy2611",fontsize=10,color="white",style="solid",shape="box"];618 -> 1327[label="",style="solid", color="burlywood", weight=9]; 14.45/5.53 1327 -> 642[label="",style="solid", color="burlywood", weight=3]; 14.45/5.53 1328[label="xy261/[]",fontsize=10,color="white",style="solid",shape="box"];618 -> 1328[label="",style="solid", color="burlywood", weight=9]; 14.45/5.53 1328 -> 643[label="",style="solid", color="burlywood", weight=3]; 14.45/5.53 619[label="List.isPrefixOf [] xy261",fontsize=16,color="black",shape="box"];619 -> 644[label="",style="solid", color="black", weight=3]; 14.45/5.53 620[label="False && xy46",fontsize=16,color="black",shape="box"];620 -> 645[label="",style="solid", color="black", weight=3]; 14.45/5.53 621[label="True && xy46",fontsize=16,color="black",shape="box"];621 -> 646[label="",style="solid", color="black", weight=3]; 14.45/5.53 622[label="Left xy230 == xy260",fontsize=16,color="burlywood",shape="box"];1329[label="xy260/Left xy2600",fontsize=10,color="white",style="solid",shape="box"];622 -> 1329[label="",style="solid", color="burlywood", weight=9]; 14.45/5.53 1329 -> 647[label="",style="solid", color="burlywood", weight=3]; 14.45/5.53 1330[label="xy260/Right xy2600",fontsize=10,color="white",style="solid",shape="box"];622 -> 1330[label="",style="solid", color="burlywood", weight=9]; 14.45/5.53 1330 -> 648[label="",style="solid", color="burlywood", weight=3]; 14.45/5.53 623[label="Right xy230 == xy260",fontsize=16,color="burlywood",shape="box"];1331[label="xy260/Left xy2600",fontsize=10,color="white",style="solid",shape="box"];623 -> 1331[label="",style="solid", color="burlywood", weight=9]; 14.45/5.53 1331 -> 649[label="",style="solid", color="burlywood", weight=3]; 14.45/5.53 1332[label="xy260/Right xy2600",fontsize=10,color="white",style="solid",shape="box"];623 -> 1332[label="",style="solid", color="burlywood", weight=9]; 14.45/5.53 1332 -> 650[label="",style="solid", color="burlywood", weight=3]; 14.45/5.53 624[label="(xy230,xy231) == xy260",fontsize=16,color="burlywood",shape="box"];1333[label="xy260/(xy2600,xy2601)",fontsize=10,color="white",style="solid",shape="box"];624 -> 1333[label="",style="solid", color="burlywood", weight=9]; 14.45/5.53 1333 -> 651[label="",style="solid", color="burlywood", weight=3]; 14.45/5.53 625[label="primEqChar xy23 xy260",fontsize=16,color="burlywood",shape="box"];1334[label="xy23/Char xy230",fontsize=10,color="white",style="solid",shape="box"];625 -> 1334[label="",style="solid", color="burlywood", weight=9]; 14.45/5.53 1334 -> 652[label="",style="solid", color="burlywood", weight=3]; 14.45/5.53 626[label="primEqDouble xy23 xy260",fontsize=16,color="burlywood",shape="box"];1335[label="xy23/Double xy230 xy231",fontsize=10,color="white",style="solid",shape="box"];626 -> 1335[label="",style="solid", color="burlywood", weight=9]; 14.45/5.53 1335 -> 653[label="",style="solid", color="burlywood", weight=3]; 14.45/5.53 627[label="xy230 :% xy231 == xy260",fontsize=16,color="burlywood",shape="box"];1336[label="xy260/xy2600 :% xy2601",fontsize=10,color="white",style="solid",shape="box"];627 -> 1336[label="",style="solid", color="burlywood", weight=9]; 14.45/5.53 1336 -> 654[label="",style="solid", color="burlywood", weight=3]; 14.45/5.53 628[label="Integer xy230 == xy260",fontsize=16,color="burlywood",shape="box"];1337[label="xy260/Integer xy2600",fontsize=10,color="white",style="solid",shape="box"];628 -> 1337[label="",style="solid", color="burlywood", weight=9]; 14.45/5.53 1337 -> 655[label="",style="solid", color="burlywood", weight=3]; 14.45/5.53 629[label="primEqFloat xy23 xy260",fontsize=16,color="burlywood",shape="box"];1338[label="xy23/Float xy230 xy231",fontsize=10,color="white",style="solid",shape="box"];629 -> 1338[label="",style="solid", color="burlywood", weight=9]; 14.45/5.53 1338 -> 656[label="",style="solid", color="burlywood", weight=3]; 14.45/5.53 630[label="Nothing == xy260",fontsize=16,color="burlywood",shape="box"];1339[label="xy260/Nothing",fontsize=10,color="white",style="solid",shape="box"];630 -> 1339[label="",style="solid", color="burlywood", weight=9]; 14.45/5.53 1339 -> 657[label="",style="solid", color="burlywood", weight=3]; 14.45/5.53 1340[label="xy260/Just xy2600",fontsize=10,color="white",style="solid",shape="box"];630 -> 1340[label="",style="solid", color="burlywood", weight=9]; 14.45/5.53 1340 -> 658[label="",style="solid", color="burlywood", weight=3]; 14.45/5.53 631[label="Just xy230 == xy260",fontsize=16,color="burlywood",shape="box"];1341[label="xy260/Nothing",fontsize=10,color="white",style="solid",shape="box"];631 -> 1341[label="",style="solid", color="burlywood", weight=9]; 14.45/5.53 1341 -> 659[label="",style="solid", color="burlywood", weight=3]; 14.45/5.53 1342[label="xy260/Just xy2600",fontsize=10,color="white",style="solid",shape="box"];631 -> 1342[label="",style="solid", color="burlywood", weight=9]; 14.45/5.53 1342 -> 660[label="",style="solid", color="burlywood", weight=3]; 14.45/5.53 632[label="(xy230,xy231,xy232) == xy260",fontsize=16,color="burlywood",shape="box"];1343[label="xy260/(xy2600,xy2601,xy2602)",fontsize=10,color="white",style="solid",shape="box"];632 -> 1343[label="",style="solid", color="burlywood", weight=9]; 14.45/5.53 1343 -> 661[label="",style="solid", color="burlywood", weight=3]; 14.45/5.53 633[label="primEqInt xy23 xy260",fontsize=16,color="burlywood",shape="triangle"];1344[label="xy23/Pos xy230",fontsize=10,color="white",style="solid",shape="box"];633 -> 1344[label="",style="solid", color="burlywood", weight=9]; 14.45/5.53 1344 -> 662[label="",style="solid", color="burlywood", weight=3]; 14.45/5.53 1345[label="xy23/Neg xy230",fontsize=10,color="white",style="solid",shape="box"];633 -> 1345[label="",style="solid", color="burlywood", weight=9]; 14.45/5.53 1345 -> 663[label="",style="solid", color="burlywood", weight=3]; 14.45/5.53 634[label="() == xy260",fontsize=16,color="burlywood",shape="box"];1346[label="xy260/()",fontsize=10,color="white",style="solid",shape="box"];634 -> 1346[label="",style="solid", color="burlywood", weight=9]; 14.45/5.53 1346 -> 664[label="",style="solid", color="burlywood", weight=3]; 14.45/5.53 635[label="xy230 : xy231 == xy260",fontsize=16,color="burlywood",shape="box"];1347[label="xy260/xy2600 : xy2601",fontsize=10,color="white",style="solid",shape="box"];635 -> 1347[label="",style="solid", color="burlywood", weight=9]; 14.45/5.53 1347 -> 665[label="",style="solid", color="burlywood", weight=3]; 14.45/5.53 1348[label="xy260/[]",fontsize=10,color="white",style="solid",shape="box"];635 -> 1348[label="",style="solid", color="burlywood", weight=9]; 14.45/5.53 1348 -> 666[label="",style="solid", color="burlywood", weight=3]; 14.45/5.53 636[label="[] == xy260",fontsize=16,color="burlywood",shape="box"];1349[label="xy260/xy2600 : xy2601",fontsize=10,color="white",style="solid",shape="box"];636 -> 1349[label="",style="solid", color="burlywood", weight=9]; 14.45/5.53 1349 -> 667[label="",style="solid", color="burlywood", weight=3]; 14.45/5.53 1350[label="xy260/[]",fontsize=10,color="white",style="solid",shape="box"];636 -> 1350[label="",style="solid", color="burlywood", weight=9]; 14.45/5.53 1350 -> 668[label="",style="solid", color="burlywood", weight=3]; 14.45/5.53 637[label="False == xy260",fontsize=16,color="burlywood",shape="box"];1351[label="xy260/False",fontsize=10,color="white",style="solid",shape="box"];637 -> 1351[label="",style="solid", color="burlywood", weight=9]; 14.45/5.53 1351 -> 669[label="",style="solid", color="burlywood", weight=3]; 14.45/5.53 1352[label="xy260/True",fontsize=10,color="white",style="solid",shape="box"];637 -> 1352[label="",style="solid", color="burlywood", weight=9]; 14.45/5.53 1352 -> 670[label="",style="solid", color="burlywood", weight=3]; 14.45/5.53 638[label="True == xy260",fontsize=16,color="burlywood",shape="box"];1353[label="xy260/False",fontsize=10,color="white",style="solid",shape="box"];638 -> 1353[label="",style="solid", color="burlywood", weight=9]; 14.45/5.53 1353 -> 671[label="",style="solid", color="burlywood", weight=3]; 14.45/5.53 1354[label="xy260/True",fontsize=10,color="white",style="solid",shape="box"];638 -> 1354[label="",style="solid", color="burlywood", weight=9]; 14.45/5.53 1354 -> 672[label="",style="solid", color="burlywood", weight=3]; 14.45/5.53 639[label="LT == xy260",fontsize=16,color="burlywood",shape="box"];1355[label="xy260/LT",fontsize=10,color="white",style="solid",shape="box"];639 -> 1355[label="",style="solid", color="burlywood", weight=9]; 14.45/5.53 1355 -> 673[label="",style="solid", color="burlywood", weight=3]; 14.45/5.53 1356[label="xy260/EQ",fontsize=10,color="white",style="solid",shape="box"];639 -> 1356[label="",style="solid", color="burlywood", weight=9]; 14.45/5.53 1356 -> 674[label="",style="solid", color="burlywood", weight=3]; 14.45/5.53 1357[label="xy260/GT",fontsize=10,color="white",style="solid",shape="box"];639 -> 1357[label="",style="solid", color="burlywood", weight=9]; 14.45/5.53 1357 -> 675[label="",style="solid", color="burlywood", weight=3]; 14.45/5.53 640[label="EQ == xy260",fontsize=16,color="burlywood",shape="box"];1358[label="xy260/LT",fontsize=10,color="white",style="solid",shape="box"];640 -> 1358[label="",style="solid", color="burlywood", weight=9]; 14.45/5.53 1358 -> 676[label="",style="solid", color="burlywood", weight=3]; 14.45/5.53 1359[label="xy260/EQ",fontsize=10,color="white",style="solid",shape="box"];640 -> 1359[label="",style="solid", color="burlywood", weight=9]; 14.45/5.53 1359 -> 677[label="",style="solid", color="burlywood", weight=3]; 14.45/5.53 1360[label="xy260/GT",fontsize=10,color="white",style="solid",shape="box"];640 -> 1360[label="",style="solid", color="burlywood", weight=9]; 14.45/5.53 1360 -> 678[label="",style="solid", color="burlywood", weight=3]; 14.45/5.53 641[label="GT == xy260",fontsize=16,color="burlywood",shape="box"];1361[label="xy260/LT",fontsize=10,color="white",style="solid",shape="box"];641 -> 1361[label="",style="solid", color="burlywood", weight=9]; 14.45/5.53 1361 -> 679[label="",style="solid", color="burlywood", weight=3]; 14.45/5.53 1362[label="xy260/EQ",fontsize=10,color="white",style="solid",shape="box"];641 -> 1362[label="",style="solid", color="burlywood", weight=9]; 14.45/5.53 1362 -> 680[label="",style="solid", color="burlywood", weight=3]; 14.45/5.53 1363[label="xy260/GT",fontsize=10,color="white",style="solid",shape="box"];641 -> 1363[label="",style="solid", color="burlywood", weight=9]; 14.45/5.53 1363 -> 681[label="",style="solid", color="burlywood", weight=3]; 14.45/5.53 642[label="List.isPrefixOf (xy220 : xy221) (xy2610 : xy2611)",fontsize=16,color="black",shape="box"];642 -> 682[label="",style="solid", color="black", weight=3]; 14.45/5.53 643[label="List.isPrefixOf (xy220 : xy221) []",fontsize=16,color="black",shape="box"];643 -> 683[label="",style="solid", color="black", weight=3]; 14.45/5.53 644[label="True",fontsize=16,color="green",shape="box"];645[label="False",fontsize=16,color="green",shape="box"];646[label="xy46",fontsize=16,color="green",shape="box"];647[label="Left xy230 == Left xy2600",fontsize=16,color="black",shape="box"];647 -> 684[label="",style="solid", color="black", weight=3]; 14.45/5.53 648[label="Left xy230 == Right xy2600",fontsize=16,color="black",shape="box"];648 -> 685[label="",style="solid", color="black", weight=3]; 14.45/5.53 649[label="Right xy230 == Left xy2600",fontsize=16,color="black",shape="box"];649 -> 686[label="",style="solid", color="black", weight=3]; 14.45/5.53 650[label="Right xy230 == Right xy2600",fontsize=16,color="black",shape="box"];650 -> 687[label="",style="solid", color="black", weight=3]; 14.45/5.53 651[label="(xy230,xy231) == (xy2600,xy2601)",fontsize=16,color="black",shape="box"];651 -> 688[label="",style="solid", color="black", weight=3]; 14.45/5.53 652[label="primEqChar (Char xy230) xy260",fontsize=16,color="burlywood",shape="box"];1364[label="xy260/Char xy2600",fontsize=10,color="white",style="solid",shape="box"];652 -> 1364[label="",style="solid", color="burlywood", weight=9]; 14.45/5.53 1364 -> 689[label="",style="solid", color="burlywood", weight=3]; 14.45/5.53 653[label="primEqDouble (Double xy230 xy231) xy260",fontsize=16,color="burlywood",shape="box"];1365[label="xy260/Double xy2600 xy2601",fontsize=10,color="white",style="solid",shape="box"];653 -> 1365[label="",style="solid", color="burlywood", weight=9]; 14.45/5.53 1365 -> 690[label="",style="solid", color="burlywood", weight=3]; 14.45/5.53 654[label="xy230 :% xy231 == xy2600 :% xy2601",fontsize=16,color="black",shape="box"];654 -> 691[label="",style="solid", color="black", weight=3]; 14.45/5.53 655[label="Integer xy230 == Integer xy2600",fontsize=16,color="black",shape="box"];655 -> 692[label="",style="solid", color="black", weight=3]; 14.45/5.53 656[label="primEqFloat (Float xy230 xy231) xy260",fontsize=16,color="burlywood",shape="box"];1366[label="xy260/Float xy2600 xy2601",fontsize=10,color="white",style="solid",shape="box"];656 -> 1366[label="",style="solid", color="burlywood", weight=9]; 14.45/5.53 1366 -> 693[label="",style="solid", color="burlywood", weight=3]; 14.45/5.53 657[label="Nothing == Nothing",fontsize=16,color="black",shape="box"];657 -> 694[label="",style="solid", color="black", weight=3]; 14.45/5.53 658[label="Nothing == Just xy2600",fontsize=16,color="black",shape="box"];658 -> 695[label="",style="solid", color="black", weight=3]; 14.45/5.53 659[label="Just xy230 == Nothing",fontsize=16,color="black",shape="box"];659 -> 696[label="",style="solid", color="black", weight=3]; 14.45/5.53 660[label="Just xy230 == Just xy2600",fontsize=16,color="black",shape="box"];660 -> 697[label="",style="solid", color="black", weight=3]; 14.45/5.53 661[label="(xy230,xy231,xy232) == (xy2600,xy2601,xy2602)",fontsize=16,color="black",shape="box"];661 -> 698[label="",style="solid", color="black", weight=3]; 14.45/5.53 662[label="primEqInt (Pos xy230) xy260",fontsize=16,color="burlywood",shape="box"];1367[label="xy230/Succ xy2300",fontsize=10,color="white",style="solid",shape="box"];662 -> 1367[label="",style="solid", color="burlywood", weight=9]; 14.45/5.53 1367 -> 699[label="",style="solid", color="burlywood", weight=3]; 14.45/5.53 1368[label="xy230/Zero",fontsize=10,color="white",style="solid",shape="box"];662 -> 1368[label="",style="solid", color="burlywood", weight=9]; 14.45/5.53 1368 -> 700[label="",style="solid", color="burlywood", weight=3]; 14.45/5.53 663[label="primEqInt (Neg xy230) xy260",fontsize=16,color="burlywood",shape="box"];1369[label="xy230/Succ xy2300",fontsize=10,color="white",style="solid",shape="box"];663 -> 1369[label="",style="solid", color="burlywood", weight=9]; 14.45/5.53 1369 -> 701[label="",style="solid", color="burlywood", weight=3]; 14.45/5.53 1370[label="xy230/Zero",fontsize=10,color="white",style="solid",shape="box"];663 -> 1370[label="",style="solid", color="burlywood", weight=9]; 14.45/5.53 1370 -> 702[label="",style="solid", color="burlywood", weight=3]; 14.45/5.53 664[label="() == ()",fontsize=16,color="black",shape="box"];664 -> 703[label="",style="solid", color="black", weight=3]; 14.45/5.53 665[label="xy230 : xy231 == xy2600 : xy2601",fontsize=16,color="black",shape="box"];665 -> 704[label="",style="solid", color="black", weight=3]; 14.45/5.53 666[label="xy230 : xy231 == []",fontsize=16,color="black",shape="box"];666 -> 705[label="",style="solid", color="black", weight=3]; 14.45/5.53 667[label="[] == xy2600 : xy2601",fontsize=16,color="black",shape="box"];667 -> 706[label="",style="solid", color="black", weight=3]; 14.45/5.53 668[label="[] == []",fontsize=16,color="black",shape="box"];668 -> 707[label="",style="solid", color="black", weight=3]; 14.45/5.53 669[label="False == False",fontsize=16,color="black",shape="box"];669 -> 708[label="",style="solid", color="black", weight=3]; 14.45/5.53 670[label="False == True",fontsize=16,color="black",shape="box"];670 -> 709[label="",style="solid", color="black", weight=3]; 14.45/5.53 671[label="True == False",fontsize=16,color="black",shape="box"];671 -> 710[label="",style="solid", color="black", weight=3]; 14.45/5.53 672[label="True == True",fontsize=16,color="black",shape="box"];672 -> 711[label="",style="solid", color="black", weight=3]; 14.45/5.53 673[label="LT == LT",fontsize=16,color="black",shape="box"];673 -> 712[label="",style="solid", color="black", weight=3]; 14.45/5.53 674[label="LT == EQ",fontsize=16,color="black",shape="box"];674 -> 713[label="",style="solid", color="black", weight=3]; 14.45/5.53 675[label="LT == GT",fontsize=16,color="black",shape="box"];675 -> 714[label="",style="solid", color="black", weight=3]; 14.45/5.53 676[label="EQ == LT",fontsize=16,color="black",shape="box"];676 -> 715[label="",style="solid", color="black", weight=3]; 14.45/5.53 677[label="EQ == EQ",fontsize=16,color="black",shape="box"];677 -> 716[label="",style="solid", color="black", weight=3]; 14.45/5.53 678[label="EQ == GT",fontsize=16,color="black",shape="box"];678 -> 717[label="",style="solid", color="black", weight=3]; 14.45/5.53 679[label="GT == LT",fontsize=16,color="black",shape="box"];679 -> 718[label="",style="solid", color="black", weight=3]; 14.45/5.53 680[label="GT == EQ",fontsize=16,color="black",shape="box"];680 -> 719[label="",style="solid", color="black", weight=3]; 14.45/5.53 681[label="GT == GT",fontsize=16,color="black",shape="box"];681 -> 720[label="",style="solid", color="black", weight=3]; 14.45/5.53 682 -> 599[label="",style="dashed", color="red", weight=0]; 14.45/5.53 682[label="xy220 == xy2610 && List.isPrefixOf xy221 xy2611",fontsize=16,color="magenta"];682 -> 721[label="",style="dashed", color="magenta", weight=3]; 14.45/5.53 682 -> 722[label="",style="dashed", color="magenta", weight=3]; 14.45/5.53 683[label="False",fontsize=16,color="green",shape="box"];684[label="xy230 == xy2600",fontsize=16,color="blue",shape="box"];1371[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];684 -> 1371[label="",style="solid", color="blue", weight=9]; 14.45/5.53 1371 -> 723[label="",style="solid", color="blue", weight=3]; 14.45/5.53 1372[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];684 -> 1372[label="",style="solid", color="blue", weight=9]; 14.45/5.53 1372 -> 724[label="",style="solid", color="blue", weight=3]; 14.45/5.53 1373[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];684 -> 1373[label="",style="solid", color="blue", weight=9]; 14.45/5.53 1373 -> 725[label="",style="solid", color="blue", weight=3]; 14.45/5.53 1374[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];684 -> 1374[label="",style="solid", color="blue", weight=9]; 14.45/5.53 1374 -> 726[label="",style="solid", color="blue", weight=3]; 14.45/5.53 1375[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];684 -> 1375[label="",style="solid", color="blue", weight=9]; 14.45/5.53 1375 -> 727[label="",style="solid", color="blue", weight=3]; 14.45/5.53 1376[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];684 -> 1376[label="",style="solid", color="blue", weight=9]; 14.45/5.53 1376 -> 728[label="",style="solid", color="blue", weight=3]; 14.45/5.53 1377[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];684 -> 1377[label="",style="solid", color="blue", weight=9]; 14.45/5.53 1377 -> 729[label="",style="solid", color="blue", weight=3]; 14.45/5.53 1378[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];684 -> 1378[label="",style="solid", color="blue", weight=9]; 14.45/5.53 1378 -> 730[label="",style="solid", color="blue", weight=3]; 14.45/5.53 1379[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];684 -> 1379[label="",style="solid", color="blue", weight=9]; 14.45/5.53 1379 -> 731[label="",style="solid", color="blue", weight=3]; 14.45/5.53 1380[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];684 -> 1380[label="",style="solid", color="blue", weight=9]; 14.45/5.53 1380 -> 732[label="",style="solid", color="blue", weight=3]; 14.45/5.53 1381[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];684 -> 1381[label="",style="solid", color="blue", weight=9]; 14.45/5.53 1381 -> 733[label="",style="solid", color="blue", weight=3]; 14.45/5.53 1382[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];684 -> 1382[label="",style="solid", color="blue", weight=9]; 14.45/5.53 1382 -> 734[label="",style="solid", color="blue", weight=3]; 14.45/5.53 1383[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];684 -> 1383[label="",style="solid", color="blue", weight=9]; 14.45/5.53 1383 -> 735[label="",style="solid", color="blue", weight=3]; 14.45/5.53 1384[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];684 -> 1384[label="",style="solid", color="blue", weight=9]; 14.45/5.53 1384 -> 736[label="",style="solid", color="blue", weight=3]; 14.45/5.53 685[label="False",fontsize=16,color="green",shape="box"];686[label="False",fontsize=16,color="green",shape="box"];687[label="xy230 == xy2600",fontsize=16,color="blue",shape="box"];1385[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];687 -> 1385[label="",style="solid", color="blue", weight=9]; 14.45/5.53 1385 -> 737[label="",style="solid", color="blue", weight=3]; 14.45/5.53 1386[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];687 -> 1386[label="",style="solid", color="blue", weight=9]; 14.45/5.53 1386 -> 738[label="",style="solid", color="blue", weight=3]; 14.45/5.53 1387[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];687 -> 1387[label="",style="solid", color="blue", weight=9]; 14.45/5.53 1387 -> 739[label="",style="solid", color="blue", weight=3]; 14.45/5.53 1388[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];687 -> 1388[label="",style="solid", color="blue", weight=9]; 14.45/5.53 1388 -> 740[label="",style="solid", color="blue", weight=3]; 14.45/5.53 1389[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];687 -> 1389[label="",style="solid", color="blue", weight=9]; 14.45/5.53 1389 -> 741[label="",style="solid", color="blue", weight=3]; 14.45/5.53 1390[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];687 -> 1390[label="",style="solid", color="blue", weight=9]; 14.45/5.53 1390 -> 742[label="",style="solid", color="blue", weight=3]; 14.45/5.53 1391[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];687 -> 1391[label="",style="solid", color="blue", weight=9]; 14.45/5.53 1391 -> 743[label="",style="solid", color="blue", weight=3]; 14.45/5.53 1392[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];687 -> 1392[label="",style="solid", color="blue", weight=9]; 14.45/5.53 1392 -> 744[label="",style="solid", color="blue", weight=3]; 14.45/5.53 1393[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];687 -> 1393[label="",style="solid", color="blue", weight=9]; 14.45/5.53 1393 -> 745[label="",style="solid", color="blue", weight=3]; 14.45/5.53 1394[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];687 -> 1394[label="",style="solid", color="blue", weight=9]; 14.45/5.53 1394 -> 746[label="",style="solid", color="blue", weight=3]; 14.45/5.53 1395[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];687 -> 1395[label="",style="solid", color="blue", weight=9]; 14.45/5.53 1395 -> 747[label="",style="solid", color="blue", weight=3]; 14.45/5.53 1396[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];687 -> 1396[label="",style="solid", color="blue", weight=9]; 14.45/5.53 1396 -> 748[label="",style="solid", color="blue", weight=3]; 14.45/5.53 1397[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];687 -> 1397[label="",style="solid", color="blue", weight=9]; 14.45/5.53 1397 -> 749[label="",style="solid", color="blue", weight=3]; 14.45/5.53 1398[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];687 -> 1398[label="",style="solid", color="blue", weight=9]; 14.45/5.53 1398 -> 750[label="",style="solid", color="blue", weight=3]; 14.45/5.53 688 -> 599[label="",style="dashed", color="red", weight=0]; 14.45/5.53 688[label="xy230 == xy2600 && xy231 == xy2601",fontsize=16,color="magenta"];688 -> 751[label="",style="dashed", color="magenta", weight=3]; 14.45/5.53 688 -> 752[label="",style="dashed", color="magenta", weight=3]; 14.45/5.53 689[label="primEqChar (Char xy230) (Char xy2600)",fontsize=16,color="black",shape="box"];689 -> 753[label="",style="solid", color="black", weight=3]; 14.45/5.53 690[label="primEqDouble (Double xy230 xy231) (Double xy2600 xy2601)",fontsize=16,color="black",shape="box"];690 -> 754[label="",style="solid", color="black", weight=3]; 14.45/5.53 691 -> 599[label="",style="dashed", color="red", weight=0]; 14.45/5.53 691[label="xy230 == xy2600 && xy231 == xy2601",fontsize=16,color="magenta"];691 -> 755[label="",style="dashed", color="magenta", weight=3]; 14.45/5.53 691 -> 756[label="",style="dashed", color="magenta", weight=3]; 14.45/5.53 692 -> 633[label="",style="dashed", color="red", weight=0]; 14.45/5.53 692[label="primEqInt xy230 xy2600",fontsize=16,color="magenta"];692 -> 757[label="",style="dashed", color="magenta", weight=3]; 14.45/5.53 692 -> 758[label="",style="dashed", color="magenta", weight=3]; 14.45/5.53 693[label="primEqFloat (Float xy230 xy231) (Float xy2600 xy2601)",fontsize=16,color="black",shape="box"];693 -> 759[label="",style="solid", color="black", weight=3]; 14.45/5.53 694[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="xy230 == xy2600",fontsize=16,color="blue",shape="box"];1399[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];697 -> 1399[label="",style="solid", color="blue", weight=9]; 14.45/5.53 1399 -> 760[label="",style="solid", color="blue", weight=3]; 14.45/5.53 1400[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];697 -> 1400[label="",style="solid", color="blue", weight=9]; 14.45/5.53 1400 -> 761[label="",style="solid", color="blue", weight=3]; 14.45/5.53 1401[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];697 -> 1401[label="",style="solid", color="blue", weight=9]; 14.45/5.53 1401 -> 762[label="",style="solid", color="blue", weight=3]; 14.45/5.53 1402[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];697 -> 1402[label="",style="solid", color="blue", weight=9]; 14.45/5.53 1402 -> 763[label="",style="solid", color="blue", weight=3]; 14.45/5.53 1403[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];697 -> 1403[label="",style="solid", color="blue", weight=9]; 14.45/5.53 1403 -> 764[label="",style="solid", color="blue", weight=3]; 14.45/5.53 1404[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];697 -> 1404[label="",style="solid", color="blue", weight=9]; 14.45/5.53 1404 -> 765[label="",style="solid", color="blue", weight=3]; 14.45/5.53 1405[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];697 -> 1405[label="",style="solid", color="blue", weight=9]; 14.45/5.53 1405 -> 766[label="",style="solid", color="blue", weight=3]; 14.45/5.53 1406[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];697 -> 1406[label="",style="solid", color="blue", weight=9]; 14.45/5.53 1406 -> 767[label="",style="solid", color="blue", weight=3]; 14.45/5.53 1407[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];697 -> 1407[label="",style="solid", color="blue", weight=9]; 14.45/5.53 1407 -> 768[label="",style="solid", color="blue", weight=3]; 14.45/5.53 1408[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];697 -> 1408[label="",style="solid", color="blue", weight=9]; 14.45/5.53 1408 -> 769[label="",style="solid", color="blue", weight=3]; 14.45/5.53 1409[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];697 -> 1409[label="",style="solid", color="blue", weight=9]; 14.45/5.53 1409 -> 770[label="",style="solid", color="blue", weight=3]; 14.45/5.53 1410[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];697 -> 1410[label="",style="solid", color="blue", weight=9]; 14.45/5.53 1410 -> 771[label="",style="solid", color="blue", weight=3]; 14.45/5.53 1411[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];697 -> 1411[label="",style="solid", color="blue", weight=9]; 14.45/5.53 1411 -> 772[label="",style="solid", color="blue", weight=3]; 14.45/5.53 1412[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];697 -> 1412[label="",style="solid", color="blue", weight=9]; 14.45/5.53 1412 -> 773[label="",style="solid", color="blue", weight=3]; 14.45/5.53 698 -> 599[label="",style="dashed", color="red", weight=0]; 14.45/5.53 698[label="xy230 == xy2600 && xy231 == xy2601 && xy232 == xy2602",fontsize=16,color="magenta"];698 -> 774[label="",style="dashed", color="magenta", weight=3]; 14.45/5.53 698 -> 775[label="",style="dashed", color="magenta", weight=3]; 14.45/5.53 699[label="primEqInt (Pos (Succ xy2300)) xy260",fontsize=16,color="burlywood",shape="box"];1413[label="xy260/Pos xy2600",fontsize=10,color="white",style="solid",shape="box"];699 -> 1413[label="",style="solid", color="burlywood", weight=9]; 14.45/5.53 1413 -> 776[label="",style="solid", color="burlywood", weight=3]; 14.45/5.53 1414[label="xy260/Neg xy2600",fontsize=10,color="white",style="solid",shape="box"];699 -> 1414[label="",style="solid", color="burlywood", weight=9]; 14.45/5.53 1414 -> 777[label="",style="solid", color="burlywood", weight=3]; 14.45/5.53 700[label="primEqInt (Pos Zero) xy260",fontsize=16,color="burlywood",shape="box"];1415[label="xy260/Pos xy2600",fontsize=10,color="white",style="solid",shape="box"];700 -> 1415[label="",style="solid", color="burlywood", weight=9]; 14.45/5.53 1415 -> 778[label="",style="solid", color="burlywood", weight=3]; 14.45/5.53 1416[label="xy260/Neg xy2600",fontsize=10,color="white",style="solid",shape="box"];700 -> 1416[label="",style="solid", color="burlywood", weight=9]; 14.45/5.53 1416 -> 779[label="",style="solid", color="burlywood", weight=3]; 14.45/5.53 701[label="primEqInt (Neg (Succ xy2300)) xy260",fontsize=16,color="burlywood",shape="box"];1417[label="xy260/Pos xy2600",fontsize=10,color="white",style="solid",shape="box"];701 -> 1417[label="",style="solid", color="burlywood", weight=9]; 14.45/5.53 1417 -> 780[label="",style="solid", color="burlywood", weight=3]; 14.45/5.53 1418[label="xy260/Neg xy2600",fontsize=10,color="white",style="solid",shape="box"];701 -> 1418[label="",style="solid", color="burlywood", weight=9]; 14.45/5.53 1418 -> 781[label="",style="solid", color="burlywood", weight=3]; 14.45/5.53 702[label="primEqInt (Neg Zero) xy260",fontsize=16,color="burlywood",shape="box"];1419[label="xy260/Pos xy2600",fontsize=10,color="white",style="solid",shape="box"];702 -> 1419[label="",style="solid", color="burlywood", weight=9]; 14.45/5.53 1419 -> 782[label="",style="solid", color="burlywood", weight=3]; 14.45/5.53 1420[label="xy260/Neg xy2600",fontsize=10,color="white",style="solid",shape="box"];702 -> 1420[label="",style="solid", color="burlywood", weight=9]; 14.45/5.53 1420 -> 783[label="",style="solid", color="burlywood", weight=3]; 14.45/5.53 703[label="True",fontsize=16,color="green",shape="box"];704 -> 599[label="",style="dashed", color="red", weight=0]; 14.45/5.53 704[label="xy230 == xy2600 && xy231 == xy2601",fontsize=16,color="magenta"];704 -> 784[label="",style="dashed", color="magenta", weight=3]; 14.45/5.53 704 -> 785[label="",style="dashed", color="magenta", weight=3]; 14.45/5.53 705[label="False",fontsize=16,color="green",shape="box"];706[label="False",fontsize=16,color="green",shape="box"];707[label="True",fontsize=16,color="green",shape="box"];708[label="True",fontsize=16,color="green",shape="box"];709[label="False",fontsize=16,color="green",shape="box"];710[label="False",fontsize=16,color="green",shape="box"];711[label="True",fontsize=16,color="green",shape="box"];712[label="True",fontsize=16,color="green",shape="box"];713[label="False",fontsize=16,color="green",shape="box"];714[label="False",fontsize=16,color="green",shape="box"];715[label="False",fontsize=16,color="green",shape="box"];716[label="True",fontsize=16,color="green",shape="box"];717[label="False",fontsize=16,color="green",shape="box"];718[label="False",fontsize=16,color="green",shape="box"];719[label="False",fontsize=16,color="green",shape="box"];720[label="True",fontsize=16,color="green",shape="box"];721[label="xy220 == xy2610",fontsize=16,color="blue",shape="box"];1421[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];721 -> 1421[label="",style="solid", color="blue", weight=9]; 14.45/5.53 1421 -> 786[label="",style="solid", color="blue", weight=3]; 14.45/5.53 1422[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];721 -> 1422[label="",style="solid", color="blue", weight=9]; 14.45/5.53 1422 -> 787[label="",style="solid", color="blue", weight=3]; 14.45/5.53 1423[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];721 -> 1423[label="",style="solid", color="blue", weight=9]; 14.45/5.53 1423 -> 788[label="",style="solid", color="blue", weight=3]; 14.45/5.53 1424[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];721 -> 1424[label="",style="solid", color="blue", weight=9]; 14.45/5.53 1424 -> 789[label="",style="solid", color="blue", weight=3]; 14.45/5.53 1425[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];721 -> 1425[label="",style="solid", color="blue", weight=9]; 14.45/5.53 1425 -> 790[label="",style="solid", color="blue", weight=3]; 14.45/5.53 1426[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];721 -> 1426[label="",style="solid", color="blue", weight=9]; 14.45/5.53 1426 -> 791[label="",style="solid", color="blue", weight=3]; 14.45/5.53 1427[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];721 -> 1427[label="",style="solid", color="blue", weight=9]; 14.45/5.53 1427 -> 792[label="",style="solid", color="blue", weight=3]; 14.45/5.53 1428[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];721 -> 1428[label="",style="solid", color="blue", weight=9]; 14.45/5.53 1428 -> 793[label="",style="solid", color="blue", weight=3]; 14.45/5.53 1429[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];721 -> 1429[label="",style="solid", color="blue", weight=9]; 14.45/5.53 1429 -> 794[label="",style="solid", color="blue", weight=3]; 14.45/5.53 1430[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];721 -> 1430[label="",style="solid", color="blue", weight=9]; 14.45/5.53 1430 -> 795[label="",style="solid", color="blue", weight=3]; 14.45/5.53 1431[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];721 -> 1431[label="",style="solid", color="blue", weight=9]; 14.45/5.53 1431 -> 796[label="",style="solid", color="blue", weight=3]; 14.45/5.53 1432[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];721 -> 1432[label="",style="solid", color="blue", weight=9]; 14.45/5.53 1432 -> 797[label="",style="solid", color="blue", weight=3]; 14.45/5.53 1433[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];721 -> 1433[label="",style="solid", color="blue", weight=9]; 14.45/5.53 1433 -> 798[label="",style="solid", color="blue", weight=3]; 14.45/5.53 1434[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];721 -> 1434[label="",style="solid", color="blue", weight=9]; 14.45/5.53 1434 -> 799[label="",style="solid", color="blue", weight=3]; 14.45/5.53 722 -> 601[label="",style="dashed", color="red", weight=0]; 14.45/5.53 722[label="List.isPrefixOf xy221 xy2611",fontsize=16,color="magenta"];722 -> 800[label="",style="dashed", color="magenta", weight=3]; 14.45/5.53 722 -> 801[label="",style="dashed", color="magenta", weight=3]; 14.45/5.53 723 -> 604[label="",style="dashed", color="red", weight=0]; 14.45/5.53 723[label="xy230 == xy2600",fontsize=16,color="magenta"];723 -> 802[label="",style="dashed", color="magenta", weight=3]; 14.45/5.53 723 -> 803[label="",style="dashed", color="magenta", weight=3]; 14.45/5.53 724 -> 605[label="",style="dashed", color="red", weight=0]; 14.45/5.53 724[label="xy230 == xy2600",fontsize=16,color="magenta"];724 -> 804[label="",style="dashed", color="magenta", weight=3]; 14.45/5.53 724 -> 805[label="",style="dashed", color="magenta", weight=3]; 14.45/5.53 725 -> 606[label="",style="dashed", color="red", weight=0]; 14.45/5.53 725[label="xy230 == xy2600",fontsize=16,color="magenta"];725 -> 806[label="",style="dashed", color="magenta", weight=3]; 14.45/5.53 725 -> 807[label="",style="dashed", color="magenta", weight=3]; 14.45/5.53 726 -> 607[label="",style="dashed", color="red", weight=0]; 14.45/5.53 726[label="xy230 == xy2600",fontsize=16,color="magenta"];726 -> 808[label="",style="dashed", color="magenta", weight=3]; 14.45/5.53 726 -> 809[label="",style="dashed", color="magenta", weight=3]; 14.45/5.53 727 -> 608[label="",style="dashed", color="red", weight=0]; 14.45/5.53 727[label="xy230 == xy2600",fontsize=16,color="magenta"];727 -> 810[label="",style="dashed", color="magenta", weight=3]; 14.45/5.53 727 -> 811[label="",style="dashed", color="magenta", weight=3]; 14.45/5.53 728 -> 609[label="",style="dashed", color="red", weight=0]; 14.45/5.53 728[label="xy230 == xy2600",fontsize=16,color="magenta"];728 -> 812[label="",style="dashed", color="magenta", weight=3]; 14.45/5.53 728 -> 813[label="",style="dashed", color="magenta", weight=3]; 14.45/5.53 729 -> 610[label="",style="dashed", color="red", weight=0]; 14.45/5.53 729[label="xy230 == xy2600",fontsize=16,color="magenta"];729 -> 814[label="",style="dashed", color="magenta", weight=3]; 14.45/5.53 729 -> 815[label="",style="dashed", color="magenta", weight=3]; 14.45/5.53 730 -> 611[label="",style="dashed", color="red", weight=0]; 14.45/5.53 730[label="xy230 == xy2600",fontsize=16,color="magenta"];730 -> 816[label="",style="dashed", color="magenta", weight=3]; 14.45/5.53 730 -> 817[label="",style="dashed", color="magenta", weight=3]; 14.45/5.53 731 -> 612[label="",style="dashed", color="red", weight=0]; 14.45/5.53 731[label="xy230 == xy2600",fontsize=16,color="magenta"];731 -> 818[label="",style="dashed", color="magenta", weight=3]; 14.45/5.53 731 -> 819[label="",style="dashed", color="magenta", weight=3]; 14.45/5.53 732 -> 613[label="",style="dashed", color="red", weight=0]; 14.45/5.53 732[label="xy230 == xy2600",fontsize=16,color="magenta"];732 -> 820[label="",style="dashed", color="magenta", weight=3]; 14.45/5.53 732 -> 821[label="",style="dashed", color="magenta", weight=3]; 14.45/5.53 733 -> 614[label="",style="dashed", color="red", weight=0]; 14.45/5.53 733[label="xy230 == xy2600",fontsize=16,color="magenta"];733 -> 822[label="",style="dashed", color="magenta", weight=3]; 14.45/5.53 733 -> 823[label="",style="dashed", color="magenta", weight=3]; 14.45/5.53 734 -> 615[label="",style="dashed", color="red", weight=0]; 14.45/5.53 734[label="xy230 == xy2600",fontsize=16,color="magenta"];734 -> 824[label="",style="dashed", color="magenta", weight=3]; 14.45/5.53 734 -> 825[label="",style="dashed", color="magenta", weight=3]; 14.45/5.53 735 -> 616[label="",style="dashed", color="red", weight=0]; 14.45/5.53 735[label="xy230 == xy2600",fontsize=16,color="magenta"];735 -> 826[label="",style="dashed", color="magenta", weight=3]; 14.45/5.53 735 -> 827[label="",style="dashed", color="magenta", weight=3]; 14.45/5.53 736 -> 617[label="",style="dashed", color="red", weight=0]; 14.45/5.53 736[label="xy230 == xy2600",fontsize=16,color="magenta"];736 -> 828[label="",style="dashed", color="magenta", weight=3]; 14.45/5.53 736 -> 829[label="",style="dashed", color="magenta", weight=3]; 14.45/5.53 737 -> 604[label="",style="dashed", color="red", weight=0]; 14.45/5.53 737[label="xy230 == xy2600",fontsize=16,color="magenta"];737 -> 830[label="",style="dashed", color="magenta", weight=3]; 14.45/5.53 737 -> 831[label="",style="dashed", color="magenta", weight=3]; 14.45/5.53 738 -> 605[label="",style="dashed", color="red", weight=0]; 14.45/5.53 738[label="xy230 == xy2600",fontsize=16,color="magenta"];738 -> 832[label="",style="dashed", color="magenta", weight=3]; 14.45/5.53 738 -> 833[label="",style="dashed", color="magenta", weight=3]; 14.45/5.53 739 -> 606[label="",style="dashed", color="red", weight=0]; 14.45/5.53 739[label="xy230 == xy2600",fontsize=16,color="magenta"];739 -> 834[label="",style="dashed", color="magenta", weight=3]; 14.45/5.53 739 -> 835[label="",style="dashed", color="magenta", weight=3]; 14.45/5.53 740 -> 607[label="",style="dashed", color="red", weight=0]; 14.45/5.53 740[label="xy230 == xy2600",fontsize=16,color="magenta"];740 -> 836[label="",style="dashed", color="magenta", weight=3]; 14.45/5.53 740 -> 837[label="",style="dashed", color="magenta", weight=3]; 14.45/5.53 741 -> 608[label="",style="dashed", color="red", weight=0]; 14.45/5.53 741[label="xy230 == xy2600",fontsize=16,color="magenta"];741 -> 838[label="",style="dashed", color="magenta", weight=3]; 14.45/5.53 741 -> 839[label="",style="dashed", color="magenta", weight=3]; 14.45/5.53 742 -> 609[label="",style="dashed", color="red", weight=0]; 14.45/5.53 742[label="xy230 == xy2600",fontsize=16,color="magenta"];742 -> 840[label="",style="dashed", color="magenta", weight=3]; 14.45/5.53 742 -> 841[label="",style="dashed", color="magenta", weight=3]; 14.45/5.53 743 -> 610[label="",style="dashed", color="red", weight=0]; 14.45/5.53 743[label="xy230 == xy2600",fontsize=16,color="magenta"];743 -> 842[label="",style="dashed", color="magenta", weight=3]; 14.45/5.53 743 -> 843[label="",style="dashed", color="magenta", weight=3]; 14.45/5.53 744 -> 611[label="",style="dashed", color="red", weight=0]; 14.45/5.53 744[label="xy230 == xy2600",fontsize=16,color="magenta"];744 -> 844[label="",style="dashed", color="magenta", weight=3]; 14.45/5.53 744 -> 845[label="",style="dashed", color="magenta", weight=3]; 14.45/5.53 745 -> 612[label="",style="dashed", color="red", weight=0]; 14.45/5.53 745[label="xy230 == xy2600",fontsize=16,color="magenta"];745 -> 846[label="",style="dashed", color="magenta", weight=3]; 14.45/5.53 745 -> 847[label="",style="dashed", color="magenta", weight=3]; 14.45/5.53 746 -> 613[label="",style="dashed", color="red", weight=0]; 14.45/5.53 746[label="xy230 == xy2600",fontsize=16,color="magenta"];746 -> 848[label="",style="dashed", color="magenta", weight=3]; 14.45/5.53 746 -> 849[label="",style="dashed", color="magenta", weight=3]; 14.45/5.53 747 -> 614[label="",style="dashed", color="red", weight=0]; 14.45/5.53 747[label="xy230 == xy2600",fontsize=16,color="magenta"];747 -> 850[label="",style="dashed", color="magenta", weight=3]; 14.45/5.53 747 -> 851[label="",style="dashed", color="magenta", weight=3]; 14.45/5.53 748 -> 615[label="",style="dashed", color="red", weight=0]; 14.45/5.53 748[label="xy230 == xy2600",fontsize=16,color="magenta"];748 -> 852[label="",style="dashed", color="magenta", weight=3]; 14.45/5.53 748 -> 853[label="",style="dashed", color="magenta", weight=3]; 14.45/5.53 749 -> 616[label="",style="dashed", color="red", weight=0]; 14.45/5.53 749[label="xy230 == xy2600",fontsize=16,color="magenta"];749 -> 854[label="",style="dashed", color="magenta", weight=3]; 14.45/5.53 749 -> 855[label="",style="dashed", color="magenta", weight=3]; 14.45/5.53 750 -> 617[label="",style="dashed", color="red", weight=0]; 14.45/5.53 750[label="xy230 == xy2600",fontsize=16,color="magenta"];750 -> 856[label="",style="dashed", color="magenta", weight=3]; 14.45/5.53 750 -> 857[label="",style="dashed", color="magenta", weight=3]; 14.45/5.53 751[label="xy230 == xy2600",fontsize=16,color="blue",shape="box"];1435[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];751 -> 1435[label="",style="solid", color="blue", weight=9]; 14.45/5.53 1435 -> 858[label="",style="solid", color="blue", weight=3]; 14.45/5.53 1436[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];751 -> 1436[label="",style="solid", color="blue", weight=9]; 14.45/5.53 1436 -> 859[label="",style="solid", color="blue", weight=3]; 14.45/5.53 1437[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];751 -> 1437[label="",style="solid", color="blue", weight=9]; 14.45/5.53 1437 -> 860[label="",style="solid", color="blue", weight=3]; 14.45/5.53 1438[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];751 -> 1438[label="",style="solid", color="blue", weight=9]; 14.45/5.53 1438 -> 861[label="",style="solid", color="blue", weight=3]; 14.45/5.53 1439[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];751 -> 1439[label="",style="solid", color="blue", weight=9]; 14.45/5.53 1439 -> 862[label="",style="solid", color="blue", weight=3]; 14.45/5.53 1440[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];751 -> 1440[label="",style="solid", color="blue", weight=9]; 14.45/5.53 1440 -> 863[label="",style="solid", color="blue", weight=3]; 14.45/5.53 1441[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];751 -> 1441[label="",style="solid", color="blue", weight=9]; 14.45/5.53 1441 -> 864[label="",style="solid", color="blue", weight=3]; 14.45/5.53 1442[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];751 -> 1442[label="",style="solid", color="blue", weight=9]; 14.45/5.53 1442 -> 865[label="",style="solid", color="blue", weight=3]; 14.45/5.53 1443[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];751 -> 1443[label="",style="solid", color="blue", weight=9]; 14.45/5.53 1443 -> 866[label="",style="solid", color="blue", weight=3]; 14.45/5.53 1444[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];751 -> 1444[label="",style="solid", color="blue", weight=9]; 14.45/5.53 1444 -> 867[label="",style="solid", color="blue", weight=3]; 14.45/5.53 1445[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];751 -> 1445[label="",style="solid", color="blue", weight=9]; 14.45/5.53 1445 -> 868[label="",style="solid", color="blue", weight=3]; 14.45/5.53 1446[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];751 -> 1446[label="",style="solid", color="blue", weight=9]; 14.45/5.53 1446 -> 869[label="",style="solid", color="blue", weight=3]; 14.45/5.53 1447[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];751 -> 1447[label="",style="solid", color="blue", weight=9]; 14.45/5.53 1447 -> 870[label="",style="solid", color="blue", weight=3]; 14.45/5.53 1448[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];751 -> 1448[label="",style="solid", color="blue", weight=9]; 14.45/5.53 1448 -> 871[label="",style="solid", color="blue", weight=3]; 14.45/5.53 752[label="xy231 == xy2601",fontsize=16,color="blue",shape="box"];1449[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];752 -> 1449[label="",style="solid", color="blue", weight=9]; 14.45/5.53 1449 -> 872[label="",style="solid", color="blue", weight=3]; 14.45/5.53 1450[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];752 -> 1450[label="",style="solid", color="blue", weight=9]; 14.45/5.53 1450 -> 873[label="",style="solid", color="blue", weight=3]; 14.45/5.53 1451[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];752 -> 1451[label="",style="solid", color="blue", weight=9]; 14.45/5.53 1451 -> 874[label="",style="solid", color="blue", weight=3]; 14.45/5.53 1452[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];752 -> 1452[label="",style="solid", color="blue", weight=9]; 14.45/5.53 1452 -> 875[label="",style="solid", color="blue", weight=3]; 14.45/5.53 1453[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];752 -> 1453[label="",style="solid", color="blue", weight=9]; 14.45/5.53 1453 -> 876[label="",style="solid", color="blue", weight=3]; 14.45/5.53 1454[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];752 -> 1454[label="",style="solid", color="blue", weight=9]; 14.45/5.53 1454 -> 877[label="",style="solid", color="blue", weight=3]; 14.45/5.53 1455[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];752 -> 1455[label="",style="solid", color="blue", weight=9]; 14.45/5.53 1455 -> 878[label="",style="solid", color="blue", weight=3]; 14.45/5.53 1456[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];752 -> 1456[label="",style="solid", color="blue", weight=9]; 14.45/5.53 1456 -> 879[label="",style="solid", color="blue", weight=3]; 14.45/5.53 1457[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];752 -> 1457[label="",style="solid", color="blue", weight=9]; 14.45/5.53 1457 -> 880[label="",style="solid", color="blue", weight=3]; 14.45/5.53 1458[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];752 -> 1458[label="",style="solid", color="blue", weight=9]; 14.45/5.53 1458 -> 881[label="",style="solid", color="blue", weight=3]; 14.45/5.53 1459[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];752 -> 1459[label="",style="solid", color="blue", weight=9]; 14.45/5.53 1459 -> 882[label="",style="solid", color="blue", weight=3]; 14.45/5.53 1460[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];752 -> 1460[label="",style="solid", color="blue", weight=9]; 14.45/5.53 1460 -> 883[label="",style="solid", color="blue", weight=3]; 14.45/5.53 1461[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];752 -> 1461[label="",style="solid", color="blue", weight=9]; 14.45/5.53 1461 -> 884[label="",style="solid", color="blue", weight=3]; 14.45/5.53 1462[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];752 -> 1462[label="",style="solid", color="blue", weight=9]; 14.45/5.53 1462 -> 885[label="",style="solid", color="blue", weight=3]; 14.45/5.53 753[label="primEqNat xy230 xy2600",fontsize=16,color="burlywood",shape="triangle"];1463[label="xy230/Succ xy2300",fontsize=10,color="white",style="solid",shape="box"];753 -> 1463[label="",style="solid", color="burlywood", weight=9]; 14.45/5.53 1463 -> 886[label="",style="solid", color="burlywood", weight=3]; 14.45/5.53 1464[label="xy230/Zero",fontsize=10,color="white",style="solid",shape="box"];753 -> 1464[label="",style="solid", color="burlywood", weight=9]; 14.45/5.53 1464 -> 887[label="",style="solid", color="burlywood", weight=3]; 14.45/5.53 754 -> 613[label="",style="dashed", color="red", weight=0]; 14.45/5.53 754[label="xy230 * xy2601 == xy231 * xy2600",fontsize=16,color="magenta"];754 -> 888[label="",style="dashed", color="magenta", weight=3]; 14.45/5.53 754 -> 889[label="",style="dashed", color="magenta", weight=3]; 14.45/5.53 755[label="xy230 == xy2600",fontsize=16,color="blue",shape="box"];1465[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];755 -> 1465[label="",style="solid", color="blue", weight=9]; 14.45/5.53 1465 -> 890[label="",style="solid", color="blue", weight=3]; 14.45/5.53 1466[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];755 -> 1466[label="",style="solid", color="blue", weight=9]; 14.45/5.53 1466 -> 891[label="",style="solid", color="blue", weight=3]; 14.45/5.53 756[label="xy231 == xy2601",fontsize=16,color="blue",shape="box"];1467[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];756 -> 1467[label="",style="solid", color="blue", weight=9]; 14.45/5.53 1467 -> 892[label="",style="solid", color="blue", weight=3]; 14.45/5.53 1468[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];756 -> 1468[label="",style="solid", color="blue", weight=9]; 14.45/5.53 1468 -> 893[label="",style="solid", color="blue", weight=3]; 14.45/5.53 757[label="xy2600",fontsize=16,color="green",shape="box"];758[label="xy230",fontsize=16,color="green",shape="box"];759 -> 613[label="",style="dashed", color="red", weight=0]; 14.45/5.53 759[label="xy230 * xy2601 == xy231 * xy2600",fontsize=16,color="magenta"];759 -> 894[label="",style="dashed", color="magenta", weight=3]; 14.45/5.53 759 -> 895[label="",style="dashed", color="magenta", weight=3]; 14.45/5.53 760 -> 604[label="",style="dashed", color="red", weight=0]; 14.45/5.53 760[label="xy230 == xy2600",fontsize=16,color="magenta"];760 -> 896[label="",style="dashed", color="magenta", weight=3]; 14.45/5.53 760 -> 897[label="",style="dashed", color="magenta", weight=3]; 14.45/5.53 761 -> 605[label="",style="dashed", color="red", weight=0]; 14.45/5.53 761[label="xy230 == xy2600",fontsize=16,color="magenta"];761 -> 898[label="",style="dashed", color="magenta", weight=3]; 14.45/5.53 761 -> 899[label="",style="dashed", color="magenta", weight=3]; 14.45/5.53 762 -> 606[label="",style="dashed", color="red", weight=0]; 14.45/5.53 762[label="xy230 == xy2600",fontsize=16,color="magenta"];762 -> 900[label="",style="dashed", color="magenta", weight=3]; 14.45/5.53 762 -> 901[label="",style="dashed", color="magenta", weight=3]; 14.45/5.53 763 -> 607[label="",style="dashed", color="red", weight=0]; 14.45/5.53 763[label="xy230 == xy2600",fontsize=16,color="magenta"];763 -> 902[label="",style="dashed", color="magenta", weight=3]; 14.45/5.53 763 -> 903[label="",style="dashed", color="magenta", weight=3]; 14.45/5.53 764 -> 608[label="",style="dashed", color="red", weight=0]; 14.45/5.53 764[label="xy230 == xy2600",fontsize=16,color="magenta"];764 -> 904[label="",style="dashed", color="magenta", weight=3]; 14.45/5.53 764 -> 905[label="",style="dashed", color="magenta", weight=3]; 14.45/5.53 765 -> 609[label="",style="dashed", color="red", weight=0]; 14.45/5.53 765[label="xy230 == xy2600",fontsize=16,color="magenta"];765 -> 906[label="",style="dashed", color="magenta", weight=3]; 14.45/5.53 765 -> 907[label="",style="dashed", color="magenta", weight=3]; 14.45/5.53 766 -> 610[label="",style="dashed", color="red", weight=0]; 14.45/5.53 766[label="xy230 == xy2600",fontsize=16,color="magenta"];766 -> 908[label="",style="dashed", color="magenta", weight=3]; 14.45/5.53 766 -> 909[label="",style="dashed", color="magenta", weight=3]; 14.45/5.53 767 -> 611[label="",style="dashed", color="red", weight=0]; 14.45/5.53 767[label="xy230 == xy2600",fontsize=16,color="magenta"];767 -> 910[label="",style="dashed", color="magenta", weight=3]; 14.45/5.53 767 -> 911[label="",style="dashed", color="magenta", weight=3]; 14.45/5.53 768 -> 612[label="",style="dashed", color="red", weight=0]; 14.45/5.53 768[label="xy230 == xy2600",fontsize=16,color="magenta"];768 -> 912[label="",style="dashed", color="magenta", weight=3]; 14.45/5.53 768 -> 913[label="",style="dashed", color="magenta", weight=3]; 14.45/5.53 769 -> 613[label="",style="dashed", color="red", weight=0]; 14.45/5.53 769[label="xy230 == xy2600",fontsize=16,color="magenta"];769 -> 914[label="",style="dashed", color="magenta", weight=3]; 14.45/5.53 769 -> 915[label="",style="dashed", color="magenta", weight=3]; 14.45/5.53 770 -> 614[label="",style="dashed", color="red", weight=0]; 14.45/5.53 770[label="xy230 == xy2600",fontsize=16,color="magenta"];770 -> 916[label="",style="dashed", color="magenta", weight=3]; 14.45/5.53 770 -> 917[label="",style="dashed", color="magenta", weight=3]; 14.45/5.53 771 -> 615[label="",style="dashed", color="red", weight=0]; 14.45/5.53 771[label="xy230 == xy2600",fontsize=16,color="magenta"];771 -> 918[label="",style="dashed", color="magenta", weight=3]; 14.45/5.53 771 -> 919[label="",style="dashed", color="magenta", weight=3]; 14.45/5.53 772 -> 616[label="",style="dashed", color="red", weight=0]; 14.45/5.53 772[label="xy230 == xy2600",fontsize=16,color="magenta"];772 -> 920[label="",style="dashed", color="magenta", weight=3]; 14.45/5.53 772 -> 921[label="",style="dashed", color="magenta", weight=3]; 14.45/5.53 773 -> 617[label="",style="dashed", color="red", weight=0]; 14.45/5.53 773[label="xy230 == xy2600",fontsize=16,color="magenta"];773 -> 922[label="",style="dashed", color="magenta", weight=3]; 14.45/5.53 773 -> 923[label="",style="dashed", color="magenta", weight=3]; 14.45/5.53 774[label="xy230 == xy2600",fontsize=16,color="blue",shape="box"];1469[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];774 -> 1469[label="",style="solid", color="blue", weight=9]; 14.45/5.53 1469 -> 924[label="",style="solid", color="blue", weight=3]; 14.45/5.53 1470[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];774 -> 1470[label="",style="solid", color="blue", weight=9]; 14.45/5.53 1470 -> 925[label="",style="solid", color="blue", weight=3]; 14.45/5.53 1471[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];774 -> 1471[label="",style="solid", color="blue", weight=9]; 14.45/5.53 1471 -> 926[label="",style="solid", color="blue", weight=3]; 14.45/5.53 1472[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];774 -> 1472[label="",style="solid", color="blue", weight=9]; 14.45/5.53 1472 -> 927[label="",style="solid", color="blue", weight=3]; 14.45/5.53 1473[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];774 -> 1473[label="",style="solid", color="blue", weight=9]; 14.45/5.53 1473 -> 928[label="",style="solid", color="blue", weight=3]; 14.45/5.53 1474[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];774 -> 1474[label="",style="solid", color="blue", weight=9]; 14.45/5.53 1474 -> 929[label="",style="solid", color="blue", weight=3]; 14.45/5.53 1475[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];774 -> 1475[label="",style="solid", color="blue", weight=9]; 14.45/5.53 1475 -> 930[label="",style="solid", color="blue", weight=3]; 14.45/5.53 1476[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];774 -> 1476[label="",style="solid", color="blue", weight=9]; 14.45/5.53 1476 -> 931[label="",style="solid", color="blue", weight=3]; 14.45/5.53 1477[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];774 -> 1477[label="",style="solid", color="blue", weight=9]; 14.45/5.53 1477 -> 932[label="",style="solid", color="blue", weight=3]; 14.45/5.53 1478[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];774 -> 1478[label="",style="solid", color="blue", weight=9]; 14.45/5.53 1478 -> 933[label="",style="solid", color="blue", weight=3]; 14.45/5.53 1479[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];774 -> 1479[label="",style="solid", color="blue", weight=9]; 14.45/5.53 1479 -> 934[label="",style="solid", color="blue", weight=3]; 14.45/5.53 1480[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];774 -> 1480[label="",style="solid", color="blue", weight=9]; 14.45/5.53 1480 -> 935[label="",style="solid", color="blue", weight=3]; 14.45/5.53 1481[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];774 -> 1481[label="",style="solid", color="blue", weight=9]; 14.45/5.53 1481 -> 936[label="",style="solid", color="blue", weight=3]; 14.45/5.53 1482[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];774 -> 1482[label="",style="solid", color="blue", weight=9]; 14.45/5.53 1482 -> 937[label="",style="solid", color="blue", weight=3]; 14.45/5.53 775 -> 599[label="",style="dashed", color="red", weight=0]; 14.45/5.53 775[label="xy231 == xy2601 && xy232 == xy2602",fontsize=16,color="magenta"];775 -> 938[label="",style="dashed", color="magenta", weight=3]; 14.45/5.53 775 -> 939[label="",style="dashed", color="magenta", weight=3]; 14.45/5.53 776[label="primEqInt (Pos (Succ xy2300)) (Pos xy2600)",fontsize=16,color="burlywood",shape="box"];1483[label="xy2600/Succ xy26000",fontsize=10,color="white",style="solid",shape="box"];776 -> 1483[label="",style="solid", color="burlywood", weight=9]; 14.45/5.53 1483 -> 940[label="",style="solid", color="burlywood", weight=3]; 14.45/5.53 1484[label="xy2600/Zero",fontsize=10,color="white",style="solid",shape="box"];776 -> 1484[label="",style="solid", color="burlywood", weight=9]; 14.45/5.53 1484 -> 941[label="",style="solid", color="burlywood", weight=3]; 14.45/5.53 777[label="primEqInt (Pos (Succ xy2300)) (Neg xy2600)",fontsize=16,color="black",shape="box"];777 -> 942[label="",style="solid", color="black", weight=3]; 14.45/5.53 778[label="primEqInt (Pos Zero) (Pos xy2600)",fontsize=16,color="burlywood",shape="box"];1485[label="xy2600/Succ xy26000",fontsize=10,color="white",style="solid",shape="box"];778 -> 1485[label="",style="solid", color="burlywood", weight=9]; 14.45/5.53 1485 -> 943[label="",style="solid", color="burlywood", weight=3]; 14.45/5.53 1486[label="xy2600/Zero",fontsize=10,color="white",style="solid",shape="box"];778 -> 1486[label="",style="solid", color="burlywood", weight=9]; 14.45/5.53 1486 -> 944[label="",style="solid", color="burlywood", weight=3]; 14.45/5.53 779[label="primEqInt (Pos Zero) (Neg xy2600)",fontsize=16,color="burlywood",shape="box"];1487[label="xy2600/Succ xy26000",fontsize=10,color="white",style="solid",shape="box"];779 -> 1487[label="",style="solid", color="burlywood", weight=9]; 14.45/5.53 1487 -> 945[label="",style="solid", color="burlywood", weight=3]; 14.45/5.53 1488[label="xy2600/Zero",fontsize=10,color="white",style="solid",shape="box"];779 -> 1488[label="",style="solid", color="burlywood", weight=9]; 14.45/5.53 1488 -> 946[label="",style="solid", color="burlywood", weight=3]; 14.45/5.53 780[label="primEqInt (Neg (Succ xy2300)) (Pos xy2600)",fontsize=16,color="black",shape="box"];780 -> 947[label="",style="solid", color="black", weight=3]; 14.45/5.53 781[label="primEqInt (Neg (Succ xy2300)) (Neg xy2600)",fontsize=16,color="burlywood",shape="box"];1489[label="xy2600/Succ xy26000",fontsize=10,color="white",style="solid",shape="box"];781 -> 1489[label="",style="solid", color="burlywood", weight=9]; 14.45/5.53 1489 -> 948[label="",style="solid", color="burlywood", weight=3]; 14.45/5.53 1490[label="xy2600/Zero",fontsize=10,color="white",style="solid",shape="box"];781 -> 1490[label="",style="solid", color="burlywood", weight=9]; 14.45/5.53 1490 -> 949[label="",style="solid", color="burlywood", weight=3]; 14.45/5.53 782[label="primEqInt (Neg Zero) (Pos xy2600)",fontsize=16,color="burlywood",shape="box"];1491[label="xy2600/Succ xy26000",fontsize=10,color="white",style="solid",shape="box"];782 -> 1491[label="",style="solid", color="burlywood", weight=9]; 14.45/5.53 1491 -> 950[label="",style="solid", color="burlywood", weight=3]; 14.45/5.53 1492[label="xy2600/Zero",fontsize=10,color="white",style="solid",shape="box"];782 -> 1492[label="",style="solid", color="burlywood", weight=9]; 14.45/5.53 1492 -> 951[label="",style="solid", color="burlywood", weight=3]; 14.45/5.53 783[label="primEqInt (Neg Zero) (Neg xy2600)",fontsize=16,color="burlywood",shape="box"];1493[label="xy2600/Succ xy26000",fontsize=10,color="white",style="solid",shape="box"];783 -> 1493[label="",style="solid", color="burlywood", weight=9]; 14.45/5.53 1493 -> 952[label="",style="solid", color="burlywood", weight=3]; 14.45/5.53 1494[label="xy2600/Zero",fontsize=10,color="white",style="solid",shape="box"];783 -> 1494[label="",style="solid", color="burlywood", weight=9]; 14.45/5.53 1494 -> 953[label="",style="solid", color="burlywood", weight=3]; 14.45/5.53 784[label="xy230 == xy2600",fontsize=16,color="blue",shape="box"];1495[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];784 -> 1495[label="",style="solid", color="blue", weight=9]; 14.45/5.53 1495 -> 954[label="",style="solid", color="blue", weight=3]; 14.45/5.53 1496[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];784 -> 1496[label="",style="solid", color="blue", weight=9]; 14.45/5.53 1496 -> 955[label="",style="solid", color="blue", weight=3]; 14.45/5.53 1497[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];784 -> 1497[label="",style="solid", color="blue", weight=9]; 14.45/5.53 1497 -> 956[label="",style="solid", color="blue", weight=3]; 14.45/5.53 1498[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];784 -> 1498[label="",style="solid", color="blue", weight=9]; 14.45/5.53 1498 -> 957[label="",style="solid", color="blue", weight=3]; 14.45/5.53 1499[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];784 -> 1499[label="",style="solid", color="blue", weight=9]; 14.45/5.53 1499 -> 958[label="",style="solid", color="blue", weight=3]; 14.45/5.53 1500[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];784 -> 1500[label="",style="solid", color="blue", weight=9]; 14.45/5.53 1500 -> 959[label="",style="solid", color="blue", weight=3]; 14.45/5.53 1501[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];784 -> 1501[label="",style="solid", color="blue", weight=9]; 14.45/5.53 1501 -> 960[label="",style="solid", color="blue", weight=3]; 14.45/5.53 1502[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];784 -> 1502[label="",style="solid", color="blue", weight=9]; 14.45/5.53 1502 -> 961[label="",style="solid", color="blue", weight=3]; 14.45/5.53 1503[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];784 -> 1503[label="",style="solid", color="blue", weight=9]; 14.45/5.53 1503 -> 962[label="",style="solid", color="blue", weight=3]; 14.45/5.53 1504[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];784 -> 1504[label="",style="solid", color="blue", weight=9]; 14.45/5.53 1504 -> 963[label="",style="solid", color="blue", weight=3]; 14.45/5.53 1505[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];784 -> 1505[label="",style="solid", color="blue", weight=9]; 14.45/5.53 1505 -> 964[label="",style="solid", color="blue", weight=3]; 14.45/5.53 1506[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];784 -> 1506[label="",style="solid", color="blue", weight=9]; 14.45/5.53 1506 -> 965[label="",style="solid", color="blue", weight=3]; 14.45/5.53 1507[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];784 -> 1507[label="",style="solid", color="blue", weight=9]; 14.45/5.53 1507 -> 966[label="",style="solid", color="blue", weight=3]; 14.45/5.53 1508[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];784 -> 1508[label="",style="solid", color="blue", weight=9]; 14.45/5.53 1508 -> 967[label="",style="solid", color="blue", weight=3]; 14.45/5.53 785 -> 615[label="",style="dashed", color="red", weight=0]; 14.45/5.53 785[label="xy231 == xy2601",fontsize=16,color="magenta"];785 -> 968[label="",style="dashed", color="magenta", weight=3]; 14.45/5.53 785 -> 969[label="",style="dashed", color="magenta", weight=3]; 14.45/5.53 786 -> 604[label="",style="dashed", color="red", weight=0]; 14.45/5.53 786[label="xy220 == xy2610",fontsize=16,color="magenta"];786 -> 970[label="",style="dashed", color="magenta", weight=3]; 14.45/5.53 786 -> 971[label="",style="dashed", color="magenta", weight=3]; 14.45/5.53 787 -> 605[label="",style="dashed", color="red", weight=0]; 14.45/5.53 787[label="xy220 == xy2610",fontsize=16,color="magenta"];787 -> 972[label="",style="dashed", color="magenta", weight=3]; 14.45/5.53 787 -> 973[label="",style="dashed", color="magenta", weight=3]; 14.45/5.53 788 -> 606[label="",style="dashed", color="red", weight=0]; 14.45/5.53 788[label="xy220 == xy2610",fontsize=16,color="magenta"];788 -> 974[label="",style="dashed", color="magenta", weight=3]; 14.45/5.53 788 -> 975[label="",style="dashed", color="magenta", weight=3]; 14.45/5.53 789 -> 607[label="",style="dashed", color="red", weight=0]; 14.45/5.53 789[label="xy220 == xy2610",fontsize=16,color="magenta"];789 -> 976[label="",style="dashed", color="magenta", weight=3]; 14.45/5.53 789 -> 977[label="",style="dashed", color="magenta", weight=3]; 14.45/5.53 790 -> 608[label="",style="dashed", color="red", weight=0]; 14.45/5.53 790[label="xy220 == xy2610",fontsize=16,color="magenta"];790 -> 978[label="",style="dashed", color="magenta", weight=3]; 14.45/5.53 790 -> 979[label="",style="dashed", color="magenta", weight=3]; 14.45/5.53 791 -> 609[label="",style="dashed", color="red", weight=0]; 14.45/5.53 791[label="xy220 == xy2610",fontsize=16,color="magenta"];791 -> 980[label="",style="dashed", color="magenta", weight=3]; 14.45/5.53 791 -> 981[label="",style="dashed", color="magenta", weight=3]; 14.45/5.53 792 -> 610[label="",style="dashed", color="red", weight=0]; 14.45/5.53 792[label="xy220 == xy2610",fontsize=16,color="magenta"];792 -> 982[label="",style="dashed", color="magenta", weight=3]; 14.45/5.53 792 -> 983[label="",style="dashed", color="magenta", weight=3]; 14.45/5.53 793 -> 611[label="",style="dashed", color="red", weight=0]; 14.45/5.53 793[label="xy220 == xy2610",fontsize=16,color="magenta"];793 -> 984[label="",style="dashed", color="magenta", weight=3]; 14.45/5.53 793 -> 985[label="",style="dashed", color="magenta", weight=3]; 14.45/5.53 794 -> 612[label="",style="dashed", color="red", weight=0]; 14.45/5.53 794[label="xy220 == xy2610",fontsize=16,color="magenta"];794 -> 986[label="",style="dashed", color="magenta", weight=3]; 14.45/5.53 794 -> 987[label="",style="dashed", color="magenta", weight=3]; 14.45/5.53 795 -> 613[label="",style="dashed", color="red", weight=0]; 14.45/5.53 795[label="xy220 == xy2610",fontsize=16,color="magenta"];795 -> 988[label="",style="dashed", color="magenta", weight=3]; 14.45/5.53 795 -> 989[label="",style="dashed", color="magenta", weight=3]; 14.45/5.53 796 -> 614[label="",style="dashed", color="red", weight=0]; 14.45/5.53 796[label="xy220 == xy2610",fontsize=16,color="magenta"];796 -> 990[label="",style="dashed", color="magenta", weight=3]; 14.45/5.53 796 -> 991[label="",style="dashed", color="magenta", weight=3]; 14.45/5.53 797 -> 615[label="",style="dashed", color="red", weight=0]; 14.45/5.53 797[label="xy220 == xy2610",fontsize=16,color="magenta"];797 -> 992[label="",style="dashed", color="magenta", weight=3]; 14.45/5.53 797 -> 993[label="",style="dashed", color="magenta", weight=3]; 14.45/5.53 798 -> 616[label="",style="dashed", color="red", weight=0]; 14.45/5.53 798[label="xy220 == xy2610",fontsize=16,color="magenta"];798 -> 994[label="",style="dashed", color="magenta", weight=3]; 14.45/5.53 798 -> 995[label="",style="dashed", color="magenta", weight=3]; 14.45/5.53 799 -> 617[label="",style="dashed", color="red", weight=0]; 14.45/5.53 799[label="xy220 == xy2610",fontsize=16,color="magenta"];799 -> 996[label="",style="dashed", color="magenta", weight=3]; 14.45/5.53 799 -> 997[label="",style="dashed", color="magenta", weight=3]; 14.45/5.53 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color="magenta", weight=3]; 14.45/5.53 883 -> 615[label="",style="dashed", color="red", weight=0]; 14.45/5.53 883[label="xy231 == xy2601",fontsize=16,color="magenta"];883 -> 1048[label="",style="dashed", color="magenta", weight=3]; 14.45/5.53 883 -> 1049[label="",style="dashed", color="magenta", weight=3]; 14.45/5.53 884 -> 616[label="",style="dashed", color="red", weight=0]; 14.45/5.53 884[label="xy231 == xy2601",fontsize=16,color="magenta"];884 -> 1050[label="",style="dashed", color="magenta", weight=3]; 14.45/5.53 884 -> 1051[label="",style="dashed", color="magenta", weight=3]; 14.45/5.53 885 -> 617[label="",style="dashed", color="red", weight=0]; 14.45/5.53 885[label="xy231 == xy2601",fontsize=16,color="magenta"];885 -> 1052[label="",style="dashed", color="magenta", weight=3]; 14.45/5.53 885 -> 1053[label="",style="dashed", color="magenta", weight=3]; 14.45/5.53 886[label="primEqNat (Succ xy2300) xy2600",fontsize=16,color="burlywood",shape="box"];1509[label="xy2600/Succ xy26000",fontsize=10,color="white",style="solid",shape="box"];886 -> 1509[label="",style="solid", color="burlywood", weight=9]; 14.45/5.53 1509 -> 1054[label="",style="solid", color="burlywood", weight=3]; 14.45/5.53 1510[label="xy2600/Zero",fontsize=10,color="white",style="solid",shape="box"];886 -> 1510[label="",style="solid", color="burlywood", weight=9]; 14.45/5.53 1510 -> 1055[label="",style="solid", color="burlywood", weight=3]; 14.45/5.53 887[label="primEqNat Zero xy2600",fontsize=16,color="burlywood",shape="box"];1511[label="xy2600/Succ xy26000",fontsize=10,color="white",style="solid",shape="box"];887 -> 1511[label="",style="solid", color="burlywood", weight=9]; 14.45/5.53 1511 -> 1056[label="",style="solid", color="burlywood", weight=3]; 14.45/5.53 1512[label="xy2600/Zero",fontsize=10,color="white",style="solid",shape="box"];887 -> 1512[label="",style="solid", color="burlywood", weight=9]; 14.45/5.53 1512 -> 1057[label="",style="solid", color="burlywood", weight=3]; 14.45/5.53 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color="red", weight=0]; 14.45/5.53 931[label="xy230 == xy2600",fontsize=16,color="magenta"];931 -> 1087[label="",style="dashed", color="magenta", weight=3]; 14.45/5.53 931 -> 1088[label="",style="dashed", color="magenta", weight=3]; 14.45/5.53 932 -> 612[label="",style="dashed", color="red", weight=0]; 14.45/5.53 932[label="xy230 == xy2600",fontsize=16,color="magenta"];932 -> 1089[label="",style="dashed", color="magenta", weight=3]; 14.45/5.53 932 -> 1090[label="",style="dashed", color="magenta", weight=3]; 14.45/5.53 933 -> 613[label="",style="dashed", color="red", weight=0]; 14.45/5.53 933[label="xy230 == xy2600",fontsize=16,color="magenta"];933 -> 1091[label="",style="dashed", color="magenta", weight=3]; 14.45/5.53 933 -> 1092[label="",style="dashed", color="magenta", weight=3]; 14.45/5.53 934 -> 614[label="",style="dashed", color="red", weight=0]; 14.45/5.53 934[label="xy230 == xy2600",fontsize=16,color="magenta"];934 -> 1093[label="",style="dashed", color="magenta", weight=3]; 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xy2601",fontsize=16,color="blue",shape="box"];1513[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];938 -> 1513[label="",style="solid", color="blue", weight=9]; 14.45/5.53 1513 -> 1101[label="",style="solid", color="blue", weight=3]; 14.45/5.53 1514[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];938 -> 1514[label="",style="solid", color="blue", weight=9]; 14.45/5.53 1514 -> 1102[label="",style="solid", color="blue", weight=3]; 14.45/5.53 1515[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];938 -> 1515[label="",style="solid", color="blue", weight=9]; 14.45/5.53 1515 -> 1103[label="",style="solid", color="blue", weight=3]; 14.45/5.53 1516[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];938 -> 1516[label="",style="solid", color="blue", weight=9]; 14.45/5.53 1516 -> 1104[label="",style="solid", color="blue", weight=3]; 14.45/5.53 1517[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];938 -> 1517[label="",style="solid", color="blue", weight=9]; 14.45/5.53 1517 -> 1105[label="",style="solid", color="blue", weight=3]; 14.45/5.53 1518[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];938 -> 1518[label="",style="solid", color="blue", weight=9]; 14.45/5.53 1518 -> 1106[label="",style="solid", color="blue", weight=3]; 14.45/5.53 1519[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];938 -> 1519[label="",style="solid", color="blue", weight=9]; 14.45/5.53 1519 -> 1107[label="",style="solid", color="blue", weight=3]; 14.45/5.53 1520[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];938 -> 1520[label="",style="solid", color="blue", weight=9]; 14.45/5.53 1520 -> 1108[label="",style="solid", color="blue", weight=3]; 14.45/5.53 1521[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];938 -> 1521[label="",style="solid", color="blue", weight=9]; 14.45/5.53 1521 -> 1109[label="",style="solid", color="blue", weight=3]; 14.45/5.53 1522[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];938 -> 1522[label="",style="solid", color="blue", weight=9]; 14.45/5.53 1522 -> 1110[label="",style="solid", color="blue", weight=3]; 14.45/5.53 1523[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];938 -> 1523[label="",style="solid", color="blue", weight=9]; 14.45/5.53 1523 -> 1111[label="",style="solid", color="blue", weight=3]; 14.45/5.53 1524[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];938 -> 1524[label="",style="solid", color="blue", weight=9]; 14.45/5.53 1524 -> 1112[label="",style="solid", color="blue", weight=3]; 14.45/5.53 1525[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];938 -> 1525[label="",style="solid", color="blue", weight=9]; 14.45/5.53 1525 -> 1113[label="",style="solid", color="blue", weight=3]; 14.45/5.53 1526[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];938 -> 1526[label="",style="solid", color="blue", weight=9]; 14.45/5.53 1526 -> 1114[label="",style="solid", color="blue", weight=3]; 14.45/5.53 939[label="xy232 == xy2602",fontsize=16,color="blue",shape="box"];1527[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];939 -> 1527[label="",style="solid", color="blue", weight=9]; 14.45/5.53 1527 -> 1115[label="",style="solid", color="blue", weight=3]; 14.45/5.53 1528[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];939 -> 1528[label="",style="solid", color="blue", weight=9]; 14.45/5.53 1528 -> 1116[label="",style="solid", color="blue", weight=3]; 14.45/5.53 1529[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];939 -> 1529[label="",style="solid", color="blue", weight=9]; 14.45/5.53 1529 -> 1117[label="",style="solid", color="blue", weight=3]; 14.45/5.53 1530[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];939 -> 1530[label="",style="solid", color="blue", weight=9]; 14.45/5.53 1530 -> 1118[label="",style="solid", color="blue", weight=3]; 14.45/5.53 1531[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];939 -> 1531[label="",style="solid", color="blue", weight=9]; 14.45/5.53 1531 -> 1119[label="",style="solid", color="blue", weight=3]; 14.45/5.53 1532[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];939 -> 1532[label="",style="solid", color="blue", weight=9]; 14.45/5.53 1532 -> 1120[label="",style="solid", color="blue", weight=3]; 14.45/5.53 1533[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];939 -> 1533[label="",style="solid", color="blue", weight=9]; 14.45/5.53 1533 -> 1121[label="",style="solid", color="blue", weight=3]; 14.45/5.53 1534[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];939 -> 1534[label="",style="solid", color="blue", weight=9]; 14.45/5.53 1534 -> 1122[label="",style="solid", color="blue", weight=3]; 14.45/5.53 1535[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];939 -> 1535[label="",style="solid", color="blue", weight=9]; 14.45/5.53 1535 -> 1123[label="",style="solid", color="blue", weight=3]; 14.45/5.53 1536[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];939 -> 1536[label="",style="solid", color="blue", weight=9]; 14.45/5.53 1536 -> 1124[label="",style="solid", color="blue", weight=3]; 14.45/5.53 1537[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];939 -> 1537[label="",style="solid", color="blue", weight=9]; 14.45/5.53 1537 -> 1125[label="",style="solid", color="blue", weight=3]; 14.45/5.53 1538[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];939 -> 1538[label="",style="solid", color="blue", weight=9]; 14.45/5.53 1538 -> 1126[label="",style="solid", color="blue", weight=3]; 14.45/5.53 1539[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];939 -> 1539[label="",style="solid", color="blue", weight=9]; 14.45/5.53 1539 -> 1127[label="",style="solid", color="blue", weight=3]; 14.45/5.53 1540[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];939 -> 1540[label="",style="solid", color="blue", weight=9]; 14.45/5.53 1540 -> 1128[label="",style="solid", color="blue", weight=3]; 14.45/5.53 940[label="primEqInt (Pos (Succ xy2300)) (Pos (Succ xy26000))",fontsize=16,color="black",shape="box"];940 -> 1129[label="",style="solid", color="black", weight=3]; 14.45/5.53 941[label="primEqInt (Pos (Succ xy2300)) (Pos Zero)",fontsize=16,color="black",shape="box"];941 -> 1130[label="",style="solid", color="black", weight=3]; 14.45/5.53 942[label="False",fontsize=16,color="green",shape="box"];943[label="primEqInt (Pos Zero) (Pos (Succ xy26000))",fontsize=16,color="black",shape="box"];943 -> 1131[label="",style="solid", color="black", weight=3]; 14.45/5.53 944[label="primEqInt (Pos Zero) (Pos Zero)",fontsize=16,color="black",shape="box"];944 -> 1132[label="",style="solid", color="black", weight=3]; 14.45/5.53 945[label="primEqInt (Pos Zero) (Neg (Succ xy26000))",fontsize=16,color="black",shape="box"];945 -> 1133[label="",style="solid", color="black", weight=3]; 14.45/5.53 946[label="primEqInt (Pos Zero) (Neg Zero)",fontsize=16,color="black",shape="box"];946 -> 1134[label="",style="solid", color="black", weight=3]; 14.45/5.53 947[label="False",fontsize=16,color="green",shape="box"];948[label="primEqInt (Neg (Succ xy2300)) (Neg (Succ xy26000))",fontsize=16,color="black",shape="box"];948 -> 1135[label="",style="solid", color="black", weight=3]; 14.45/5.53 949[label="primEqInt (Neg (Succ xy2300)) (Neg Zero)",fontsize=16,color="black",shape="box"];949 -> 1136[label="",style="solid", color="black", weight=3]; 14.45/5.53 950[label="primEqInt (Neg Zero) (Pos (Succ xy26000))",fontsize=16,color="black",shape="box"];950 -> 1137[label="",style="solid", color="black", weight=3]; 14.45/5.53 951[label="primEqInt (Neg Zero) (Pos Zero)",fontsize=16,color="black",shape="box"];951 -> 1138[label="",style="solid", color="black", weight=3]; 14.45/5.53 952[label="primEqInt (Neg Zero) (Neg (Succ xy26000))",fontsize=16,color="black",shape="box"];952 -> 1139[label="",style="solid", color="black", weight=3]; 14.45/5.53 953[label="primEqInt (Neg Zero) (Neg Zero)",fontsize=16,color="black",shape="box"];953 -> 1140[label="",style="solid", color="black", weight=3]; 14.45/5.53 954 -> 604[label="",style="dashed", color="red", weight=0]; 14.45/5.53 954[label="xy230 == xy2600",fontsize=16,color="magenta"];954 -> 1141[label="",style="dashed", color="magenta", weight=3]; 14.45/5.53 954 -> 1142[label="",style="dashed", color="magenta", weight=3]; 14.45/5.53 955 -> 605[label="",style="dashed", color="red", weight=0]; 14.45/5.53 955[label="xy230 == xy2600",fontsize=16,color="magenta"];955 -> 1143[label="",style="dashed", color="magenta", weight=3]; 14.45/5.53 955 -> 1144[label="",style="dashed", color="magenta", weight=3]; 14.45/5.53 956 -> 606[label="",style="dashed", color="red", weight=0]; 14.45/5.53 956[label="xy230 == xy2600",fontsize=16,color="magenta"];956 -> 1145[label="",style="dashed", color="magenta", weight=3]; 14.45/5.53 956 -> 1146[label="",style="dashed", color="magenta", weight=3]; 14.45/5.53 957 -> 607[label="",style="dashed", color="red", weight=0]; 14.45/5.53 957[label="xy230 == xy2600",fontsize=16,color="magenta"];957 -> 1147[label="",style="dashed", color="magenta", weight=3]; 14.45/5.53 957 -> 1148[label="",style="dashed", color="magenta", weight=3]; 14.45/5.53 958 -> 608[label="",style="dashed", color="red", weight=0]; 14.45/5.53 958[label="xy230 == xy2600",fontsize=16,color="magenta"];958 -> 1149[label="",style="dashed", color="magenta", weight=3]; 14.45/5.53 958 -> 1150[label="",style="dashed", color="magenta", weight=3]; 14.45/5.53 959 -> 609[label="",style="dashed", color="red", weight=0]; 14.45/5.53 959[label="xy230 == xy2600",fontsize=16,color="magenta"];959 -> 1151[label="",style="dashed", color="magenta", weight=3]; 14.45/5.53 959 -> 1152[label="",style="dashed", color="magenta", weight=3]; 14.45/5.53 960 -> 610[label="",style="dashed", color="red", weight=0]; 14.45/5.53 960[label="xy230 == xy2600",fontsize=16,color="magenta"];960 -> 1153[label="",style="dashed", color="magenta", weight=3]; 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964[label="xy230 == xy2600",fontsize=16,color="magenta"];964 -> 1161[label="",style="dashed", color="magenta", weight=3]; 14.45/5.53 964 -> 1162[label="",style="dashed", color="magenta", weight=3]; 14.45/5.53 965 -> 615[label="",style="dashed", color="red", weight=0]; 14.45/5.53 965[label="xy230 == xy2600",fontsize=16,color="magenta"];965 -> 1163[label="",style="dashed", color="magenta", weight=3]; 14.45/5.53 965 -> 1164[label="",style="dashed", color="magenta", weight=3]; 14.45/5.53 966 -> 616[label="",style="dashed", color="red", weight=0]; 14.45/5.53 966[label="xy230 == xy2600",fontsize=16,color="magenta"];966 -> 1165[label="",style="dashed", color="magenta", weight=3]; 14.45/5.53 966 -> 1166[label="",style="dashed", color="magenta", weight=3]; 14.45/5.53 967 -> 617[label="",style="dashed", color="red", weight=0]; 14.45/5.53 967[label="xy230 == xy2600",fontsize=16,color="magenta"];967 -> 1167[label="",style="dashed", color="magenta", weight=3]; 14.45/5.53 967 -> 1168[label="",style="dashed", color="magenta", weight=3]; 14.45/5.53 968[label="xy2601",fontsize=16,color="green",shape="box"];969[label="xy231",fontsize=16,color="green",shape="box"];970[label="xy2610",fontsize=16,color="green",shape="box"];971[label="xy220",fontsize=16,color="green",shape="box"];972[label="xy2610",fontsize=16,color="green",shape="box"];973[label="xy220",fontsize=16,color="green",shape="box"];974[label="xy2610",fontsize=16,color="green",shape="box"];975[label="xy220",fontsize=16,color="green",shape="box"];976[label="xy2610",fontsize=16,color="green",shape="box"];977[label="xy220",fontsize=16,color="green",shape="box"];978[label="xy2610",fontsize=16,color="green",shape="box"];979[label="xy220",fontsize=16,color="green",shape="box"];980[label="xy2610",fontsize=16,color="green",shape="box"];981[label="xy220",fontsize=16,color="green",shape="box"];982[label="xy2610",fontsize=16,color="green",shape="box"];983[label="xy220",fontsize=16,color="green",shape="box"];984[label="xy2610",fontsize=16,color="green",shape="box"];985[label="xy220",fontsize=16,color="green",shape="box"];986[label="xy2610",fontsize=16,color="green",shape="box"];987[label="xy220",fontsize=16,color="green",shape="box"];988[label="xy2610",fontsize=16,color="green",shape="box"];989[label="xy220",fontsize=16,color="green",shape="box"];990[label="xy2610",fontsize=16,color="green",shape="box"];991[label="xy220",fontsize=16,color="green",shape="box"];992[label="xy2610",fontsize=16,color="green",shape="box"];993[label="xy220",fontsize=16,color="green",shape="box"];994[label="xy2610",fontsize=16,color="green",shape="box"];995[label="xy220",fontsize=16,color="green",shape="box"];996[label="xy2610",fontsize=16,color="green",shape="box"];997[label="xy220",fontsize=16,color="green",shape="box"];998[label="xy2600",fontsize=16,color="green",shape="box"];999[label="xy230",fontsize=16,color="green",shape="box"];1000[label="xy2600",fontsize=16,color="green",shape="box"];1001[label="xy230",fontsize=16,color="green",shape="box"];1002[label="xy2600",fontsize=16,color="green",shape="box"];1003[label="xy230",fontsize=16,color="green",shape="box"];1004[label="xy2600",fontsize=16,color="green",shape="box"];1005[label="xy230",fontsize=16,color="green",shape="box"];1006[label="xy2600",fontsize=16,color="green",shape="box"];1007[label="xy230",fontsize=16,color="green",shape="box"];1008[label="xy2600",fontsize=16,color="green",shape="box"];1009[label="xy230",fontsize=16,color="green",shape="box"];1010[label="xy2600",fontsize=16,color="green",shape="box"];1011[label="xy230",fontsize=16,color="green",shape="box"];1012[label="xy2600",fontsize=16,color="green",shape="box"];1013[label="xy230",fontsize=16,color="green",shape="box"];1014[label="xy2600",fontsize=16,color="green",shape="box"];1015[label="xy230",fontsize=16,color="green",shape="box"];1016[label="xy2600",fontsize=16,color="green",shape="box"];1017[label="xy230",fontsize=16,color="green",shape="box"];1018[label="xy2600",fontsize=16,color="green",shape="box"];1019[label="xy230",fontsize=16,color="green",shape="box"];1020[label="xy2600",fontsize=16,color="green",shape="box"];1021[label="xy230",fontsize=16,color="green",shape="box"];1022[label="xy2600",fontsize=16,color="green",shape="box"];1023[label="xy230",fontsize=16,color="green",shape="box"];1024[label="xy2600",fontsize=16,color="green",shape="box"];1025[label="xy230",fontsize=16,color="green",shape="box"];1026[label="xy2601",fontsize=16,color="green",shape="box"];1027[label="xy231",fontsize=16,color="green",shape="box"];1028[label="xy2601",fontsize=16,color="green",shape="box"];1029[label="xy231",fontsize=16,color="green",shape="box"];1030[label="xy2601",fontsize=16,color="green",shape="box"];1031[label="xy231",fontsize=16,color="green",shape="box"];1032[label="xy2601",fontsize=16,color="green",shape="box"];1033[label="xy231",fontsize=16,color="green",shape="box"];1034[label="xy2601",fontsize=16,color="green",shape="box"];1035[label="xy231",fontsize=16,color="green",shape="box"];1036[label="xy2601",fontsize=16,color="green",shape="box"];1037[label="xy231",fontsize=16,color="green",shape="box"];1038[label="xy2601",fontsize=16,color="green",shape="box"];1039[label="xy231",fontsize=16,color="green",shape="box"];1040[label="xy2601",fontsize=16,color="green",shape="box"];1041[label="xy231",fontsize=16,color="green",shape="box"];1042[label="xy2601",fontsize=16,color="green",shape="box"];1043[label="xy231",fontsize=16,color="green",shape="box"];1044[label="xy2601",fontsize=16,color="green",shape="box"];1045[label="xy231",fontsize=16,color="green",shape="box"];1046[label="xy2601",fontsize=16,color="green",shape="box"];1047[label="xy231",fontsize=16,color="green",shape="box"];1048[label="xy2601",fontsize=16,color="green",shape="box"];1049[label="xy231",fontsize=16,color="green",shape="box"];1050[label="xy2601",fontsize=16,color="green",shape="box"];1051[label="xy231",fontsize=16,color="green",shape="box"];1052[label="xy2601",fontsize=16,color="green",shape="box"];1053[label="xy231",fontsize=16,color="green",shape="box"];1054[label="primEqNat (Succ xy2300) (Succ xy26000)",fontsize=16,color="black",shape="box"];1054 -> 1169[label="",style="solid", color="black", weight=3]; 14.45/5.53 1055[label="primEqNat (Succ xy2300) Zero",fontsize=16,color="black",shape="box"];1055 -> 1170[label="",style="solid", color="black", weight=3]; 14.45/5.53 1056[label="primEqNat Zero (Succ xy26000)",fontsize=16,color="black",shape="box"];1056 -> 1171[label="",style="solid", color="black", weight=3]; 14.45/5.53 1057[label="primEqNat Zero Zero",fontsize=16,color="black",shape="box"];1057 -> 1172[label="",style="solid", color="black", weight=3]; 14.45/5.53 1058[label="primMulInt xy231 xy2600",fontsize=16,color="burlywood",shape="box"];1541[label="xy231/Pos xy2310",fontsize=10,color="white",style="solid",shape="box"];1058 -> 1541[label="",style="solid", color="burlywood", weight=9]; 14.45/5.53 1541 -> 1173[label="",style="solid", color="burlywood", weight=3]; 14.45/5.53 1542[label="xy231/Neg xy2310",fontsize=10,color="white",style="solid",shape="box"];1058 -> 1542[label="",style="solid", color="burlywood", weight=9]; 14.45/5.53 1542 -> 1174[label="",style="solid", color="burlywood", weight=3]; 14.45/5.53 1059[label="xy230",fontsize=16,color="green",shape="box"];1060[label="xy2601",fontsize=16,color="green",shape="box"];1061[label="xy2600",fontsize=16,color="green",shape="box"];1062[label="xy230",fontsize=16,color="green",shape="box"];1063[label="xy2600",fontsize=16,color="green",shape="box"];1064[label="xy230",fontsize=16,color="green",shape="box"];1065[label="xy2601",fontsize=16,color="green",shape="box"];1066[label="xy231",fontsize=16,color="green",shape="box"];1067[label="xy2601",fontsize=16,color="green",shape="box"];1068[label="xy231",fontsize=16,color="green",shape="box"];1069[label="xy231",fontsize=16,color="green",shape="box"];1070[label="xy2600",fontsize=16,color="green",shape="box"];1071[label="xy230",fontsize=16,color="green",shape="box"];1072[label="xy2601",fontsize=16,color="green",shape="box"];1073[label="xy2600",fontsize=16,color="green",shape="box"];1074[label="xy230",fontsize=16,color="green",shape="box"];1075[label="xy2600",fontsize=16,color="green",shape="box"];1076[label="xy230",fontsize=16,color="green",shape="box"];1077[label="xy2600",fontsize=16,color="green",shape="box"];1078[label="xy230",fontsize=16,color="green",shape="box"];1079[label="xy2600",fontsize=16,color="green",shape="box"];1080[label="xy230",fontsize=16,color="green",shape="box"];1081[label="xy2600",fontsize=16,color="green",shape="box"];1082[label="xy230",fontsize=16,color="green",shape="box"];1083[label="xy2600",fontsize=16,color="green",shape="box"];1084[label="xy230",fontsize=16,color="green",shape="box"];1085[label="xy2600",fontsize=16,color="green",shape="box"];1086[label="xy230",fontsize=16,color="green",shape="box"];1087[label="xy2600",fontsize=16,color="green",shape="box"];1088[label="xy230",fontsize=16,color="green",shape="box"];1089[label="xy2600",fontsize=16,color="green",shape="box"];1090[label="xy230",fontsize=16,color="green",shape="box"];1091[label="xy2600",fontsize=16,color="green",shape="box"];1092[label="xy230",fontsize=16,color="green",shape="box"];1093[label="xy2600",fontsize=16,color="green",shape="box"];1094[label="xy230",fontsize=16,color="green",shape="box"];1095[label="xy2600",fontsize=16,color="green",shape="box"];1096[label="xy230",fontsize=16,color="green",shape="box"];1097[label="xy2600",fontsize=16,color="green",shape="box"];1098[label="xy230",fontsize=16,color="green",shape="box"];1099[label="xy2600",fontsize=16,color="green",shape="box"];1100[label="xy230",fontsize=16,color="green",shape="box"];1101 -> 604[label="",style="dashed", color="red", weight=0]; 14.45/5.53 1101[label="xy231 == xy2601",fontsize=16,color="magenta"];1101 -> 1175[label="",style="dashed", color="magenta", weight=3]; 14.45/5.53 1101 -> 1176[label="",style="dashed", color="magenta", weight=3]; 14.45/5.53 1102 -> 605[label="",style="dashed", color="red", weight=0]; 14.45/5.53 1102[label="xy231 == xy2601",fontsize=16,color="magenta"];1102 -> 1177[label="",style="dashed", color="magenta", weight=3]; 14.45/5.53 1102 -> 1178[label="",style="dashed", color="magenta", weight=3]; 14.45/5.53 1103 -> 606[label="",style="dashed", color="red", weight=0]; 14.45/5.53 1103[label="xy231 == xy2601",fontsize=16,color="magenta"];1103 -> 1179[label="",style="dashed", color="magenta", weight=3]; 14.45/5.53 1103 -> 1180[label="",style="dashed", color="magenta", weight=3]; 14.45/5.53 1104 -> 607[label="",style="dashed", color="red", weight=0]; 14.45/5.53 1104[label="xy231 == xy2601",fontsize=16,color="magenta"];1104 -> 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1129 -> 753[label="",style="dashed", color="red", weight=0]; 14.45/5.53 1129[label="primEqNat xy2300 xy26000",fontsize=16,color="magenta"];1129 -> 1231[label="",style="dashed", color="magenta", weight=3]; 14.45/5.53 1129 -> 1232[label="",style="dashed", color="magenta", weight=3]; 14.45/5.53 1130[label="False",fontsize=16,color="green",shape="box"];1131[label="False",fontsize=16,color="green",shape="box"];1132[label="True",fontsize=16,color="green",shape="box"];1133[label="False",fontsize=16,color="green",shape="box"];1134[label="True",fontsize=16,color="green",shape="box"];1135 -> 753[label="",style="dashed", color="red", weight=0]; 14.45/5.53 1135[label="primEqNat xy2300 xy26000",fontsize=16,color="magenta"];1135 -> 1233[label="",style="dashed", color="magenta", weight=3]; 14.45/5.53 1135 -> 1234[label="",style="dashed", color="magenta", weight=3]; 14.45/5.53 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-> 753[label="",style="dashed", color="red", weight=0]; 14.45/5.53 1169[label="primEqNat xy2300 xy26000",fontsize=16,color="magenta"];1169 -> 1235[label="",style="dashed", color="magenta", weight=3]; 14.45/5.53 1169 -> 1236[label="",style="dashed", color="magenta", weight=3]; 14.45/5.53 1170[label="False",fontsize=16,color="green",shape="box"];1171[label="False",fontsize=16,color="green",shape="box"];1172[label="True",fontsize=16,color="green",shape="box"];1173[label="primMulInt (Pos xy2310) xy2600",fontsize=16,color="burlywood",shape="box"];1543[label="xy2600/Pos xy26000",fontsize=10,color="white",style="solid",shape="box"];1173 -> 1543[label="",style="solid", color="burlywood", weight=9]; 14.45/5.53 1543 -> 1237[label="",style="solid", color="burlywood", weight=3]; 14.45/5.53 1544[label="xy2600/Neg xy26000",fontsize=10,color="white",style="solid",shape="box"];1173 -> 1544[label="",style="solid", color="burlywood", weight=9]; 14.45/5.53 1544 -> 1238[label="",style="solid", color="burlywood", weight=3]; 14.45/5.53 1174[label="primMulInt (Neg xy2310) xy2600",fontsize=16,color="burlywood",shape="box"];1545[label="xy2600/Pos xy26000",fontsize=10,color="white",style="solid",shape="box"];1174 -> 1545[label="",style="solid", color="burlywood", weight=9]; 14.45/5.53 1545 -> 1239[label="",style="solid", color="burlywood", weight=3]; 14.45/5.53 1546[label="xy2600/Neg xy26000",fontsize=10,color="white",style="solid",shape="box"];1174 -> 1546[label="",style="solid", color="burlywood", weight=9]; 14.45/5.53 1546 -> 1240[label="",style="solid", color="burlywood", weight=3]; 14.45/5.53 1175[label="xy2601",fontsize=16,color="green",shape="box"];1176[label="xy231",fontsize=16,color="green",shape="box"];1177[label="xy2601",fontsize=16,color="green",shape="box"];1178[label="xy231",fontsize=16,color="green",shape="box"];1179[label="xy2601",fontsize=16,color="green",shape="box"];1180[label="xy231",fontsize=16,color="green",shape="box"];1181[label="xy2601",fontsize=16,color="green",shape="box"];1182[label="xy231",fontsize=16,color="green",shape="box"];1183[label="xy2601",fontsize=16,color="green",shape="box"];1184[label="xy231",fontsize=16,color="green",shape="box"];1185[label="xy2601",fontsize=16,color="green",shape="box"];1186[label="xy231",fontsize=16,color="green",shape="box"];1187[label="xy2601",fontsize=16,color="green",shape="box"];1188[label="xy231",fontsize=16,color="green",shape="box"];1189[label="xy2601",fontsize=16,color="green",shape="box"];1190[label="xy231",fontsize=16,color="green",shape="box"];1191[label="xy2601",fontsize=16,color="green",shape="box"];1192[label="xy231",fontsize=16,color="green",shape="box"];1193[label="xy2601",fontsize=16,color="green",shape="box"];1194[label="xy231",fontsize=16,color="green",shape="box"];1195[label="xy2601",fontsize=16,color="green",shape="box"];1196[label="xy231",fontsize=16,color="green",shape="box"];1197[label="xy2601",fontsize=16,color="green",shape="box"];1198[label="xy231",fontsize=16,color="green",shape="box"];1199[label="xy2601",fontsize=16,color="green",shape="box"];1200[label="xy231",fontsize=16,color="green",shape="box"];1201[label="xy2601",fontsize=16,color="green",shape="box"];1202[label="xy231",fontsize=16,color="green",shape="box"];1203[label="xy2602",fontsize=16,color="green",shape="box"];1204[label="xy232",fontsize=16,color="green",shape="box"];1205[label="xy2602",fontsize=16,color="green",shape="box"];1206[label="xy232",fontsize=16,color="green",shape="box"];1207[label="xy2602",fontsize=16,color="green",shape="box"];1208[label="xy232",fontsize=16,color="green",shape="box"];1209[label="xy2602",fontsize=16,color="green",shape="box"];1210[label="xy232",fontsize=16,color="green",shape="box"];1211[label="xy2602",fontsize=16,color="green",shape="box"];1212[label="xy232",fontsize=16,color="green",shape="box"];1213[label="xy2602",fontsize=16,color="green",shape="box"];1214[label="xy232",fontsize=16,color="green",shape="box"];1215[label="xy2602",fontsize=16,color="green",shape="box"];1216[label="xy232",fontsize=16,color="green",shape="box"];1217[label="xy2602",fontsize=16,color="green",shape="box"];1218[label="xy232",fontsize=16,color="green",shape="box"];1219[label="xy2602",fontsize=16,color="green",shape="box"];1220[label="xy232",fontsize=16,color="green",shape="box"];1221[label="xy2602",fontsize=16,color="green",shape="box"];1222[label="xy232",fontsize=16,color="green",shape="box"];1223[label="xy2602",fontsize=16,color="green",shape="box"];1224[label="xy232",fontsize=16,color="green",shape="box"];1225[label="xy2602",fontsize=16,color="green",shape="box"];1226[label="xy232",fontsize=16,color="green",shape="box"];1227[label="xy2602",fontsize=16,color="green",shape="box"];1228[label="xy232",fontsize=16,color="green",shape="box"];1229[label="xy2602",fontsize=16,color="green",shape="box"];1230[label="xy232",fontsize=16,color="green",shape="box"];1231[label="xy2300",fontsize=16,color="green",shape="box"];1232[label="xy26000",fontsize=16,color="green",shape="box"];1233[label="xy2300",fontsize=16,color="green",shape="box"];1234[label="xy26000",fontsize=16,color="green",shape="box"];1235[label="xy2300",fontsize=16,color="green",shape="box"];1236[label="xy26000",fontsize=16,color="green",shape="box"];1237[label="primMulInt (Pos xy2310) (Pos xy26000)",fontsize=16,color="black",shape="box"];1237 -> 1241[label="",style="solid", color="black", weight=3]; 14.45/5.53 1238[label="primMulInt (Pos xy2310) (Neg xy26000)",fontsize=16,color="black",shape="box"];1238 -> 1242[label="",style="solid", color="black", weight=3]; 14.45/5.53 1239[label="primMulInt (Neg xy2310) (Pos xy26000)",fontsize=16,color="black",shape="box"];1239 -> 1243[label="",style="solid", color="black", weight=3]; 14.45/5.53 1240[label="primMulInt (Neg xy2310) (Neg xy26000)",fontsize=16,color="black",shape="box"];1240 -> 1244[label="",style="solid", color="black", weight=3]; 14.45/5.53 1241[label="Pos (primMulNat xy2310 xy26000)",fontsize=16,color="green",shape="box"];1241 -> 1245[label="",style="dashed", color="green", weight=3]; 14.45/5.53 1242[label="Neg (primMulNat xy2310 xy26000)",fontsize=16,color="green",shape="box"];1242 -> 1246[label="",style="dashed", color="green", weight=3]; 14.45/5.53 1243[label="Neg (primMulNat xy2310 xy26000)",fontsize=16,color="green",shape="box"];1243 -> 1247[label="",style="dashed", color="green", weight=3]; 14.45/5.53 1244[label="Pos (primMulNat xy2310 xy26000)",fontsize=16,color="green",shape="box"];1244 -> 1248[label="",style="dashed", color="green", weight=3]; 14.45/5.53 1245[label="primMulNat xy2310 xy26000",fontsize=16,color="burlywood",shape="triangle"];1547[label="xy2310/Succ xy23100",fontsize=10,color="white",style="solid",shape="box"];1245 -> 1547[label="",style="solid", color="burlywood", weight=9]; 14.45/5.53 1547 -> 1249[label="",style="solid", color="burlywood", weight=3]; 14.45/5.53 1548[label="xy2310/Zero",fontsize=10,color="white",style="solid",shape="box"];1245 -> 1548[label="",style="solid", color="burlywood", weight=9]; 14.45/5.53 1548 -> 1250[label="",style="solid", color="burlywood", weight=3]; 14.45/5.53 1246 -> 1245[label="",style="dashed", color="red", weight=0]; 14.45/5.53 1246[label="primMulNat xy2310 xy26000",fontsize=16,color="magenta"];1246 -> 1251[label="",style="dashed", color="magenta", weight=3]; 14.45/5.53 1247 -> 1245[label="",style="dashed", color="red", weight=0]; 14.45/5.53 1247[label="primMulNat xy2310 xy26000",fontsize=16,color="magenta"];1247 -> 1252[label="",style="dashed", color="magenta", weight=3]; 14.45/5.53 1248 -> 1245[label="",style="dashed", color="red", weight=0]; 14.45/5.53 1248[label="primMulNat xy2310 xy26000",fontsize=16,color="magenta"];1248 -> 1253[label="",style="dashed", color="magenta", weight=3]; 14.45/5.53 1248 -> 1254[label="",style="dashed", color="magenta", weight=3]; 14.45/5.53 1249[label="primMulNat (Succ xy23100) xy26000",fontsize=16,color="burlywood",shape="box"];1549[label="xy26000/Succ xy260000",fontsize=10,color="white",style="solid",shape="box"];1249 -> 1549[label="",style="solid", color="burlywood", weight=9]; 14.45/5.53 1549 -> 1255[label="",style="solid", color="burlywood", weight=3]; 14.45/5.53 1550[label="xy26000/Zero",fontsize=10,color="white",style="solid",shape="box"];1249 -> 1550[label="",style="solid", color="burlywood", weight=9]; 14.45/5.53 1550 -> 1256[label="",style="solid", color="burlywood", weight=3]; 14.45/5.53 1250[label="primMulNat Zero xy26000",fontsize=16,color="burlywood",shape="box"];1551[label="xy26000/Succ xy260000",fontsize=10,color="white",style="solid",shape="box"];1250 -> 1551[label="",style="solid", color="burlywood", weight=9]; 14.45/5.53 1551 -> 1257[label="",style="solid", color="burlywood", weight=3]; 14.45/5.53 1552[label="xy26000/Zero",fontsize=10,color="white",style="solid",shape="box"];1250 -> 1552[label="",style="solid", color="burlywood", weight=9]; 14.45/5.53 1552 -> 1258[label="",style="solid", color="burlywood", weight=3]; 14.45/5.53 1251[label="xy26000",fontsize=16,color="green",shape="box"];1252[label="xy2310",fontsize=16,color="green",shape="box"];1253[label="xy26000",fontsize=16,color="green",shape="box"];1254[label="xy2310",fontsize=16,color="green",shape="box"];1255[label="primMulNat (Succ xy23100) (Succ xy260000)",fontsize=16,color="black",shape="box"];1255 -> 1259[label="",style="solid", color="black", weight=3]; 14.45/5.53 1256[label="primMulNat (Succ xy23100) Zero",fontsize=16,color="black",shape="box"];1256 -> 1260[label="",style="solid", color="black", weight=3]; 14.45/5.53 1257[label="primMulNat Zero (Succ xy260000)",fontsize=16,color="black",shape="box"];1257 -> 1261[label="",style="solid", color="black", weight=3]; 14.45/5.53 1258[label="primMulNat Zero Zero",fontsize=16,color="black",shape="box"];1258 -> 1262[label="",style="solid", color="black", weight=3]; 14.45/5.53 1259 -> 1263[label="",style="dashed", color="red", weight=0]; 14.45/5.53 1259[label="primPlusNat (primMulNat xy23100 (Succ xy260000)) (Succ xy260000)",fontsize=16,color="magenta"];1259 -> 1264[label="",style="dashed", color="magenta", weight=3]; 14.45/5.53 1260[label="Zero",fontsize=16,color="green",shape="box"];1261[label="Zero",fontsize=16,color="green",shape="box"];1262[label="Zero",fontsize=16,color="green",shape="box"];1264 -> 1245[label="",style="dashed", color="red", weight=0]; 14.45/5.53 1264[label="primMulNat xy23100 (Succ xy260000)",fontsize=16,color="magenta"];1264 -> 1265[label="",style="dashed", color="magenta", weight=3]; 14.45/5.53 1264 -> 1266[label="",style="dashed", color="magenta", weight=3]; 14.45/5.53 1263[label="primPlusNat xy47 (Succ xy260000)",fontsize=16,color="burlywood",shape="triangle"];1553[label="xy47/Succ xy470",fontsize=10,color="white",style="solid",shape="box"];1263 -> 1553[label="",style="solid", color="burlywood", weight=9]; 14.45/5.53 1553 -> 1267[label="",style="solid", color="burlywood", weight=3]; 14.45/5.53 1554[label="xy47/Zero",fontsize=10,color="white",style="solid",shape="box"];1263 -> 1554[label="",style="solid", color="burlywood", weight=9]; 14.45/5.53 1554 -> 1268[label="",style="solid", color="burlywood", weight=3]; 14.45/5.53 1265[label="Succ xy260000",fontsize=16,color="green",shape="box"];1266[label="xy23100",fontsize=16,color="green",shape="box"];1267[label="primPlusNat (Succ xy470) (Succ xy260000)",fontsize=16,color="black",shape="box"];1267 -> 1269[label="",style="solid", color="black", weight=3]; 14.45/5.53 1268[label="primPlusNat Zero (Succ xy260000)",fontsize=16,color="black",shape="box"];1268 -> 1270[label="",style="solid", color="black", weight=3]; 14.45/5.53 1269[label="Succ (Succ (primPlusNat xy470 xy260000))",fontsize=16,color="green",shape="box"];1269 -> 1271[label="",style="dashed", color="green", weight=3]; 14.45/5.53 1270[label="Succ xy260000",fontsize=16,color="green",shape="box"];1271[label="primPlusNat xy470 xy260000",fontsize=16,color="burlywood",shape="triangle"];1555[label="xy470/Succ xy4700",fontsize=10,color="white",style="solid",shape="box"];1271 -> 1555[label="",style="solid", color="burlywood", weight=9]; 14.45/5.53 1555 -> 1272[label="",style="solid", color="burlywood", weight=3]; 14.45/5.53 1556[label="xy470/Zero",fontsize=10,color="white",style="solid",shape="box"];1271 -> 1556[label="",style="solid", color="burlywood", weight=9]; 14.45/5.53 1556 -> 1273[label="",style="solid", color="burlywood", weight=3]; 14.45/5.53 1272[label="primPlusNat (Succ xy4700) xy260000",fontsize=16,color="burlywood",shape="box"];1557[label="xy260000/Succ xy2600000",fontsize=10,color="white",style="solid",shape="box"];1272 -> 1557[label="",style="solid", color="burlywood", weight=9]; 14.45/5.53 1557 -> 1274[label="",style="solid", color="burlywood", weight=3]; 14.45/5.53 1558[label="xy260000/Zero",fontsize=10,color="white",style="solid",shape="box"];1272 -> 1558[label="",style="solid", color="burlywood", weight=9]; 14.45/5.53 1558 -> 1275[label="",style="solid", color="burlywood", weight=3]; 14.45/5.53 1273[label="primPlusNat Zero xy260000",fontsize=16,color="burlywood",shape="box"];1559[label="xy260000/Succ xy2600000",fontsize=10,color="white",style="solid",shape="box"];1273 -> 1559[label="",style="solid", color="burlywood", weight=9]; 14.45/5.53 1559 -> 1276[label="",style="solid", color="burlywood", weight=3]; 14.45/5.53 1560[label="xy260000/Zero",fontsize=10,color="white",style="solid",shape="box"];1273 -> 1560[label="",style="solid", color="burlywood", weight=9]; 14.45/5.53 1560 -> 1277[label="",style="solid", color="burlywood", weight=3]; 14.45/5.53 1274[label="primPlusNat (Succ xy4700) (Succ xy2600000)",fontsize=16,color="black",shape="box"];1274 -> 1278[label="",style="solid", color="black", weight=3]; 14.45/5.53 1275[label="primPlusNat (Succ xy4700) Zero",fontsize=16,color="black",shape="box"];1275 -> 1279[label="",style="solid", color="black", weight=3]; 14.45/5.53 1276[label="primPlusNat Zero (Succ xy2600000)",fontsize=16,color="black",shape="box"];1276 -> 1280[label="",style="solid", color="black", weight=3]; 14.45/5.53 1277[label="primPlusNat Zero Zero",fontsize=16,color="black",shape="box"];1277 -> 1281[label="",style="solid", color="black", weight=3]; 14.45/5.53 1278[label="Succ (Succ (primPlusNat xy4700 xy2600000))",fontsize=16,color="green",shape="box"];1278 -> 1282[label="",style="dashed", color="green", weight=3]; 14.45/5.53 1279[label="Succ xy4700",fontsize=16,color="green",shape="box"];1280[label="Succ xy2600000",fontsize=16,color="green",shape="box"];1281[label="Zero",fontsize=16,color="green",shape="box"];1282 -> 1271[label="",style="dashed", color="red", weight=0]; 14.45/5.53 1282[label="primPlusNat xy4700 xy2600000",fontsize=16,color="magenta"];1282 -> 1283[label="",style="dashed", color="magenta", weight=3]; 14.45/5.53 1282 -> 1284[label="",style="dashed", color="magenta", weight=3]; 14.45/5.53 1283[label="xy4700",fontsize=16,color="green",shape="box"];1284[label="xy2600000",fontsize=16,color="green",shape="box"];} 14.45/5.53 14.45/5.53 ---------------------------------------- 14.45/5.53 14.45/5.53 (6) 14.45/5.53 Complex Obligation (AND) 14.45/5.53 14.45/5.53 ---------------------------------------- 14.45/5.53 14.45/5.53 (7) 14.45/5.53 Obligation: 14.45/5.53 Q DP problem: 14.45/5.53 The TRS P consists of the following rules: 14.45/5.53 14.45/5.53 new_isPrefixOf1(xy22, xy23, :(xy240, xy241), xy25, ba) -> new_isPrefixOf1(new_flip(xy22, xy23, ba), xy240, xy241, xy25, ba) 14.45/5.53 14.45/5.53 The TRS R consists of the following rules: 14.45/5.53 14.45/5.53 new_flip(xy22, xy23, ba) -> :(xy23, xy22) 14.45/5.53 14.45/5.53 The set Q consists of the following terms: 14.45/5.53 14.45/5.53 new_flip(x0, x1, x2) 14.45/5.53 14.45/5.53 We have to consider all minimal (P,Q,R)-chains. 14.45/5.53 ---------------------------------------- 14.45/5.53 14.45/5.53 (8) TransformationProof (EQUIVALENT) 14.45/5.53 By rewriting [LPAR04] the rule new_isPrefixOf1(xy22, xy23, :(xy240, xy241), xy25, ba) -> new_isPrefixOf1(new_flip(xy22, xy23, ba), xy240, xy241, xy25, ba) at position [0] we obtained the following new rules [LPAR04]: 14.45/5.53 14.45/5.53 (new_isPrefixOf1(xy22, xy23, :(xy240, xy241), xy25, ba) -> new_isPrefixOf1(:(xy23, xy22), xy240, xy241, xy25, ba),new_isPrefixOf1(xy22, xy23, :(xy240, xy241), xy25, ba) -> new_isPrefixOf1(:(xy23, xy22), xy240, xy241, xy25, ba)) 14.45/5.53 14.45/5.53 14.45/5.53 ---------------------------------------- 14.45/5.53 14.45/5.53 (9) 14.45/5.53 Obligation: 14.45/5.53 Q DP problem: 14.45/5.53 The TRS P consists of the following rules: 14.45/5.53 14.45/5.53 new_isPrefixOf1(xy22, xy23, :(xy240, xy241), xy25, ba) -> new_isPrefixOf1(:(xy23, xy22), xy240, xy241, xy25, ba) 14.45/5.53 14.45/5.53 The TRS R consists of the following rules: 14.45/5.53 14.45/5.53 new_flip(xy22, xy23, ba) -> :(xy23, xy22) 14.45/5.53 14.45/5.53 The set Q consists of the following terms: 14.45/5.53 14.45/5.53 new_flip(x0, x1, x2) 14.45/5.53 14.45/5.53 We have to consider all minimal (P,Q,R)-chains. 14.45/5.53 ---------------------------------------- 14.45/5.53 14.45/5.53 (10) UsableRulesProof (EQUIVALENT) 14.45/5.53 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. 14.45/5.53 ---------------------------------------- 14.45/5.53 14.45/5.53 (11) 14.45/5.53 Obligation: 14.45/5.53 Q DP problem: 14.45/5.53 The TRS P consists of the following rules: 14.45/5.53 14.45/5.53 new_isPrefixOf1(xy22, xy23, :(xy240, xy241), xy25, ba) -> new_isPrefixOf1(:(xy23, xy22), xy240, xy241, xy25, ba) 14.45/5.53 14.45/5.53 R is empty. 14.45/5.53 The set Q consists of the following terms: 14.45/5.53 14.45/5.53 new_flip(x0, x1, x2) 14.45/5.53 14.45/5.53 We have to consider all minimal (P,Q,R)-chains. 14.45/5.53 ---------------------------------------- 14.45/5.53 14.45/5.53 (12) QReductionProof (EQUIVALENT) 14.45/5.53 We deleted the following terms from Q as each root-symbol of these terms does neither occur in P nor in R.[THIEMANN]. 14.45/5.53 14.45/5.53 new_flip(x0, x1, x2) 14.45/5.53 14.45/5.53 14.45/5.53 ---------------------------------------- 14.45/5.53 14.45/5.53 (13) 14.45/5.53 Obligation: 14.45/5.53 Q DP problem: 14.45/5.53 The TRS P consists of the following rules: 14.45/5.53 14.45/5.53 new_isPrefixOf1(xy22, xy23, :(xy240, xy241), xy25, ba) -> new_isPrefixOf1(:(xy23, xy22), xy240, xy241, xy25, ba) 14.45/5.53 14.45/5.53 R is empty. 14.45/5.53 Q is empty. 14.45/5.53 We have to consider all minimal (P,Q,R)-chains. 14.45/5.53 ---------------------------------------- 14.45/5.53 14.45/5.53 (14) QDPSizeChangeProof (EQUIVALENT) 14.45/5.53 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. 14.45/5.53 14.45/5.53 From the DPs we obtained the following set of size-change graphs: 14.45/5.53 *new_isPrefixOf1(xy22, xy23, :(xy240, xy241), xy25, ba) -> new_isPrefixOf1(:(xy23, xy22), xy240, xy241, xy25, ba) 14.45/5.53 The graph contains the following edges 3 > 2, 3 > 3, 4 >= 4, 5 >= 5 14.45/5.53 14.45/5.53 14.45/5.53 ---------------------------------------- 14.45/5.53 14.45/5.53 (15) 14.45/5.53 YES 14.45/5.53 14.45/5.53 ---------------------------------------- 14.45/5.53 14.45/5.53 (16) 14.45/5.53 Obligation: 14.45/5.53 Q DP problem: 14.45/5.53 The TRS P consists of the following rules: 14.45/5.53 14.45/5.53 new_isPrefixOf0(xy23, xy22, xy26, :(xy2510, xy2511), ba) -> new_isPrefixOf0(xy23, xy22, new_flip(xy26, xy2510, ba), xy2511, ba) 14.45/5.53 14.45/5.53 The TRS R consists of the following rules: 14.45/5.53 14.45/5.53 new_flip(xy22, xy23, ba) -> :(xy23, xy22) 14.45/5.53 14.45/5.53 The set Q consists of the following terms: 14.45/5.53 14.45/5.53 new_flip(x0, x1, x2) 14.45/5.53 14.45/5.53 We have to consider all minimal (P,Q,R)-chains. 14.45/5.53 ---------------------------------------- 14.45/5.53 14.45/5.53 (17) TransformationProof (EQUIVALENT) 14.45/5.53 By rewriting [LPAR04] the rule new_isPrefixOf0(xy23, xy22, xy26, :(xy2510, xy2511), ba) -> new_isPrefixOf0(xy23, xy22, new_flip(xy26, xy2510, ba), xy2511, ba) at position [2] we obtained the following new rules [LPAR04]: 14.45/5.53 14.45/5.53 (new_isPrefixOf0(xy23, xy22, xy26, :(xy2510, xy2511), ba) -> new_isPrefixOf0(xy23, xy22, :(xy2510, xy26), xy2511, ba),new_isPrefixOf0(xy23, xy22, xy26, :(xy2510, xy2511), ba) -> new_isPrefixOf0(xy23, xy22, :(xy2510, xy26), xy2511, ba)) 14.45/5.53 14.45/5.53 14.45/5.53 ---------------------------------------- 14.45/5.53 14.45/5.53 (18) 14.45/5.53 Obligation: 14.45/5.53 Q DP problem: 14.45/5.53 The TRS P consists of the following rules: 14.45/5.53 14.45/5.53 new_isPrefixOf0(xy23, xy22, xy26, :(xy2510, xy2511), ba) -> new_isPrefixOf0(xy23, xy22, :(xy2510, xy26), xy2511, ba) 14.45/5.53 14.45/5.53 The TRS R consists of the following rules: 14.45/5.53 14.45/5.53 new_flip(xy22, xy23, ba) -> :(xy23, xy22) 14.45/5.53 14.45/5.53 The set Q consists of the following terms: 14.45/5.53 14.45/5.53 new_flip(x0, x1, x2) 14.45/5.53 14.45/5.53 We have to consider all minimal (P,Q,R)-chains. 14.45/5.53 ---------------------------------------- 14.45/5.53 14.45/5.53 (19) UsableRulesProof (EQUIVALENT) 14.45/5.53 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. 14.45/5.53 ---------------------------------------- 14.45/5.53 14.45/5.53 (20) 14.45/5.53 Obligation: 14.45/5.53 Q DP problem: 14.45/5.53 The TRS P consists of the following rules: 14.45/5.53 14.45/5.53 new_isPrefixOf0(xy23, xy22, xy26, :(xy2510, xy2511), ba) -> new_isPrefixOf0(xy23, xy22, :(xy2510, xy26), xy2511, ba) 14.45/5.53 14.45/5.53 R is empty. 14.45/5.53 The set Q consists of the following terms: 14.45/5.53 14.45/5.53 new_flip(x0, x1, x2) 14.45/5.53 14.45/5.53 We have to consider all minimal (P,Q,R)-chains. 14.45/5.53 ---------------------------------------- 14.45/5.53 14.45/5.53 (21) QReductionProof (EQUIVALENT) 14.45/5.53 We deleted the following terms from Q as each root-symbol of these terms does neither occur in P nor in R.[THIEMANN]. 14.45/5.53 14.45/5.53 new_flip(x0, x1, x2) 14.45/5.53 14.45/5.53 14.45/5.53 ---------------------------------------- 14.45/5.53 14.45/5.53 (22) 14.45/5.53 Obligation: 14.45/5.53 Q DP problem: 14.45/5.53 The TRS P consists of the following rules: 14.45/5.53 14.45/5.53 new_isPrefixOf0(xy23, xy22, xy26, :(xy2510, xy2511), ba) -> new_isPrefixOf0(xy23, xy22, :(xy2510, xy26), xy2511, ba) 14.45/5.53 14.45/5.53 R is empty. 14.45/5.53 Q is empty. 14.45/5.53 We have to consider all minimal (P,Q,R)-chains. 14.45/5.53 ---------------------------------------- 14.45/5.53 14.45/5.53 (23) QDPSizeChangeProof (EQUIVALENT) 14.45/5.53 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. 14.45/5.53 14.45/5.53 From the DPs we obtained the following set of size-change graphs: 14.45/5.53 *new_isPrefixOf0(xy23, xy22, xy26, :(xy2510, xy2511), ba) -> new_isPrefixOf0(xy23, xy22, :(xy2510, xy26), xy2511, ba) 14.45/5.53 The graph contains the following edges 1 >= 1, 2 >= 2, 4 > 4, 5 >= 5 14.45/5.53 14.45/5.53 14.45/5.53 ---------------------------------------- 14.45/5.53 14.45/5.53 (24) 14.45/5.53 YES 14.45/5.53 14.45/5.53 ---------------------------------------- 14.45/5.53 14.45/5.53 (25) 14.45/5.53 Obligation: 14.45/5.53 Q DP problem: 14.45/5.53 The TRS P consists of the following rules: 14.45/5.53 14.45/5.53 new_esEs(Right(xy230), Right(xy2600), cc, app(app(ty_@2, cf), cg)) -> new_esEs0(xy230, xy2600, cf, cg) 14.45/5.53 new_esEs0(@2(xy230, xy231), @2(xy2600, xy2601), app(app(app(ty_@3, ed), ee), ef), dh) -> new_esEs2(xy230, xy2600, ed, ee, ef) 14.45/5.53 new_esEs0(@2(xy230, xy231), @2(xy2600, xy2601), app(ty_Maybe, ec), dh) -> new_esEs1(xy230, xy2600, ec) 14.45/5.53 new_esEs3(:(xy230, xy231), :(xy2600, xy2601), app(app(ty_Either, bdb), bdc)) -> new_esEs(xy230, xy2600, bdb, bdc) 14.45/5.53 new_esEs0(@2(xy230, xy231), @2(xy2600, xy2601), eh, app(ty_Maybe, ff)) -> new_esEs1(xy231, xy2601, ff) 14.45/5.53 new_esEs2(@3(xy230, xy231, xy232), @3(xy2600, xy2601, xy2602), bag, hf, app(app(ty_@2, bcc), bcd)) -> new_esEs0(xy232, xy2602, bcc, bcd) 14.45/5.53 new_esEs0(@2(xy230, xy231), @2(xy2600, xy2601), eh, app(app(ty_Either, fa), fb)) -> new_esEs(xy231, xy2601, fa, fb) 14.45/5.53 new_esEs0(@2(xy230, xy231), @2(xy2600, xy2601), eh, app(app(ty_@2, fc), fd)) -> new_esEs0(xy231, xy2601, fc, fd) 14.45/5.53 new_esEs2(@3(xy230, xy231, xy232), @3(xy2600, xy2601, xy2602), app(app(ty_@2, hh), baa), hf, hg) -> new_esEs0(xy230, xy2600, hh, baa) 14.45/5.53 new_esEs(Left(xy230), Left(xy2600), app(app(app(ty_@3, bg), bh), ca), bc) -> new_esEs2(xy230, xy2600, bg, bh, ca) 14.45/5.53 new_esEs2(@3(xy230, xy231, xy232), @3(xy2600, xy2601, xy2602), app(ty_Maybe, bab), hf, hg) -> new_esEs1(xy230, xy2600, bab) 14.45/5.53 new_esEs1(Just(xy230), Just(xy2600), app(app(ty_Either, gc), gd)) -> new_esEs(xy230, xy2600, gc, gd) 14.45/5.53 new_esEs3(:(xy230, xy231), :(xy2600, xy2601), app(ty_Maybe, bdf)) -> new_esEs1(xy230, xy2600, bdf) 14.45/5.53 new_esEs3(:(xy230, xy231), :(xy2600, xy2601), app(ty_[], beb)) -> new_esEs3(xy230, xy2600, beb) 14.45/5.53 new_esEs2(@3(xy230, xy231, xy232), @3(xy2600, xy2601, xy2602), app(app(ty_Either, hd), he), hf, hg) -> new_esEs(xy230, xy2600, hd, he) 14.45/5.53 new_esEs2(@3(xy230, xy231, xy232), @3(xy2600, xy2601, xy2602), bag, app(ty_Maybe, bbd), hg) -> new_esEs1(xy231, xy2601, bbd) 14.45/5.53 new_esEs2(@3(xy230, xy231, xy232), @3(xy2600, xy2601, xy2602), bag, hf, app(ty_[], bda)) -> new_esEs3(xy232, xy2602, bda) 14.45/5.53 new_esEs3(:(xy230, xy231), :(xy2600, xy2601), app(app(ty_@2, bdd), bde)) -> new_esEs0(xy230, xy2600, bdd, bde) 14.45/5.53 new_esEs2(@3(xy230, xy231, xy232), @3(xy2600, xy2601, xy2602), bag, app(ty_[], bbh), hg) -> new_esEs3(xy231, xy2601, bbh) 14.45/5.53 new_esEs2(@3(xy230, xy231, xy232), @3(xy2600, xy2601, xy2602), bag, hf, app(ty_Maybe, bce)) -> new_esEs1(xy232, xy2602, bce) 14.45/5.53 new_esEs2(@3(xy230, xy231, xy232), @3(xy2600, xy2601, xy2602), bag, app(app(app(ty_@3, bbe), bbf), bbg), hg) -> new_esEs2(xy231, xy2601, bbe, bbf, bbg) 14.45/5.53 new_esEs(Right(xy230), Right(xy2600), cc, app(ty_Maybe, da)) -> new_esEs1(xy230, xy2600, da) 14.45/5.53 new_esEs0(@2(xy230, xy231), @2(xy2600, xy2601), app(app(ty_Either, df), dg), dh) -> new_esEs(xy230, xy2600, df, dg) 14.45/5.53 new_esEs2(@3(xy230, xy231, xy232), @3(xy2600, xy2601, xy2602), app(app(app(ty_@3, bac), bad), bae), hf, hg) -> new_esEs2(xy230, xy2600, bac, bad, bae) 14.45/5.53 new_esEs(Right(xy230), Right(xy2600), cc, app(app(ty_Either, cd), ce)) -> new_esEs(xy230, xy2600, cd, ce) 14.45/5.53 new_esEs2(@3(xy230, xy231, xy232), @3(xy2600, xy2601, xy2602), bag, app(app(ty_Either, bah), bba), hg) -> new_esEs(xy231, xy2601, bah, bba) 14.45/5.53 new_esEs(Right(xy230), Right(xy2600), cc, app(app(app(ty_@3, db), dc), dd)) -> new_esEs2(xy230, xy2600, db, dc, dd) 14.45/5.53 new_esEs0(@2(xy230, xy231), @2(xy2600, xy2601), app(ty_[], eg), dh) -> new_esEs3(xy230, xy2600, eg) 14.45/5.53 new_esEs3(:(xy230, xy231), :(xy2600, xy2601), bec) -> new_esEs3(xy231, xy2601, bec) 14.45/5.53 new_esEs0(@2(xy230, xy231), @2(xy2600, xy2601), eh, app(app(app(ty_@3, fg), fh), ga)) -> new_esEs2(xy231, xy2601, fg, fh, ga) 14.45/5.53 new_esEs(Right(xy230), Right(xy2600), cc, app(ty_[], de)) -> new_esEs3(xy230, xy2600, de) 14.45/5.53 new_esEs2(@3(xy230, xy231, xy232), @3(xy2600, xy2601, xy2602), app(ty_[], baf), hf, hg) -> new_esEs3(xy230, xy2600, baf) 14.45/5.53 new_esEs3(:(xy230, xy231), :(xy2600, xy2601), app(app(app(ty_@3, bdg), bdh), bea)) -> new_esEs2(xy230, xy2600, bdg, bdh, bea) 14.45/5.53 new_esEs(Left(xy230), Left(xy2600), app(app(ty_Either, ba), bb), bc) -> new_esEs(xy230, xy2600, ba, bb) 14.45/5.53 new_esEs1(Just(xy230), Just(xy2600), app(app(ty_@2, ge), gf)) -> new_esEs0(xy230, xy2600, ge, gf) 14.45/5.53 new_esEs2(@3(xy230, xy231, xy232), @3(xy2600, xy2601, xy2602), bag, hf, app(app(ty_Either, bca), bcb)) -> new_esEs(xy232, xy2602, bca, bcb) 14.45/5.53 new_esEs(Left(xy230), Left(xy2600), app(ty_Maybe, bf), bc) -> new_esEs1(xy230, xy2600, bf) 14.45/5.53 new_esEs1(Just(xy230), Just(xy2600), app(ty_[], hc)) -> new_esEs3(xy230, xy2600, hc) 14.45/5.53 new_esEs(Left(xy230), Left(xy2600), app(app(ty_@2, bd), be), bc) -> new_esEs0(xy230, xy2600, bd, be) 14.45/5.53 new_esEs2(@3(xy230, xy231, xy232), @3(xy2600, xy2601, xy2602), bag, hf, app(app(app(ty_@3, bcf), bcg), bch)) -> new_esEs2(xy232, xy2602, bcf, bcg, bch) 14.45/5.53 new_esEs1(Just(xy230), Just(xy2600), app(ty_Maybe, gg)) -> new_esEs1(xy230, xy2600, gg) 14.45/5.53 new_esEs0(@2(xy230, xy231), @2(xy2600, xy2601), app(app(ty_@2, ea), eb), dh) -> new_esEs0(xy230, xy2600, ea, eb) 14.45/5.53 new_esEs0(@2(xy230, xy231), @2(xy2600, xy2601), eh, app(ty_[], gb)) -> new_esEs3(xy231, xy2601, gb) 14.45/5.53 new_esEs1(Just(xy230), Just(xy2600), app(app(app(ty_@3, gh), ha), hb)) -> new_esEs2(xy230, xy2600, gh, ha, hb) 14.45/5.53 new_esEs2(@3(xy230, xy231, xy232), @3(xy2600, xy2601, xy2602), bag, app(app(ty_@2, bbb), bbc), hg) -> new_esEs0(xy231, xy2601, bbb, bbc) 14.45/5.53 new_esEs(Left(xy230), Left(xy2600), app(ty_[], cb), bc) -> new_esEs3(xy230, xy2600, cb) 14.45/5.53 14.45/5.53 R is empty. 14.45/5.53 Q is empty. 14.45/5.53 We have to consider all minimal (P,Q,R)-chains. 14.45/5.53 ---------------------------------------- 14.45/5.53 14.45/5.53 (26) QDPSizeChangeProof (EQUIVALENT) 14.45/5.53 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. 14.45/5.53 14.45/5.53 From the DPs we obtained the following set of size-change graphs: 14.45/5.53 *new_esEs1(Just(xy230), Just(xy2600), app(app(ty_Either, gc), gd)) -> new_esEs(xy230, xy2600, gc, gd) 14.45/5.53 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 14.45/5.53 14.45/5.53 14.45/5.53 *new_esEs1(Just(xy230), Just(xy2600), app(app(ty_@2, ge), gf)) -> new_esEs0(xy230, xy2600, ge, gf) 14.45/5.53 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 14.45/5.54 14.45/5.54 14.45/5.54 *new_esEs3(:(xy230, xy231), :(xy2600, xy2601), app(app(ty_Either, bdb), bdc)) -> new_esEs(xy230, xy2600, bdb, bdc) 14.45/5.54 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 14.45/5.54 14.45/5.54 14.45/5.54 *new_esEs3(:(xy230, xy231), :(xy2600, xy2601), app(app(ty_@2, bdd), bde)) -> new_esEs0(xy230, xy2600, bdd, bde) 14.45/5.54 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 14.45/5.54 14.45/5.54 14.45/5.54 *new_esEs1(Just(xy230), Just(xy2600), app(ty_[], hc)) -> new_esEs3(xy230, xy2600, hc) 14.45/5.54 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 14.45/5.54 14.45/5.54 14.45/5.54 *new_esEs1(Just(xy230), Just(xy2600), app(app(app(ty_@3, gh), ha), hb)) -> new_esEs2(xy230, xy2600, gh, ha, hb) 14.45/5.54 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 14.45/5.54 14.45/5.54 14.45/5.54 *new_esEs1(Just(xy230), Just(xy2600), app(ty_Maybe, gg)) -> new_esEs1(xy230, xy2600, gg) 14.45/5.54 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 14.45/5.54 14.45/5.54 14.45/5.54 *new_esEs3(:(xy230, xy231), :(xy2600, xy2601), app(app(app(ty_@3, bdg), bdh), bea)) -> new_esEs2(xy230, xy2600, bdg, bdh, bea) 14.45/5.54 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 14.45/5.54 14.45/5.54 14.45/5.54 *new_esEs3(:(xy230, xy231), :(xy2600, xy2601), app(ty_Maybe, bdf)) -> new_esEs1(xy230, xy2600, bdf) 14.45/5.54 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 14.45/5.54 14.45/5.54 14.45/5.54 *new_esEs0(@2(xy230, xy231), @2(xy2600, xy2601), eh, app(app(ty_Either, fa), fb)) -> new_esEs(xy231, xy2601, fa, fb) 14.45/5.54 The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 14.45/5.54 14.45/5.54 14.45/5.54 *new_esEs0(@2(xy230, xy231), @2(xy2600, xy2601), app(app(ty_Either, df), dg), dh) -> new_esEs(xy230, xy2600, df, dg) 14.45/5.54 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 14.45/5.54 14.45/5.54 14.45/5.54 *new_esEs0(@2(xy230, xy231), @2(xy2600, xy2601), eh, app(app(ty_@2, fc), fd)) -> new_esEs0(xy231, xy2601, fc, fd) 14.45/5.54 The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 14.45/5.54 14.45/5.54 14.45/5.54 *new_esEs0(@2(xy230, xy231), @2(xy2600, xy2601), app(app(ty_@2, ea), eb), dh) -> new_esEs0(xy230, xy2600, ea, eb) 14.45/5.54 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 14.45/5.54 14.45/5.54 14.45/5.54 *new_esEs0(@2(xy230, xy231), @2(xy2600, xy2601), app(ty_[], eg), dh) -> new_esEs3(xy230, xy2600, eg) 14.45/5.54 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 14.45/5.54 14.45/5.54 14.45/5.54 *new_esEs0(@2(xy230, xy231), @2(xy2600, xy2601), eh, app(ty_[], gb)) -> new_esEs3(xy231, xy2601, gb) 14.45/5.54 The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 14.45/5.54 14.45/5.54 14.45/5.54 *new_esEs0(@2(xy230, xy231), @2(xy2600, xy2601), app(app(app(ty_@3, ed), ee), ef), dh) -> new_esEs2(xy230, xy2600, ed, ee, ef) 14.45/5.54 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 14.45/5.54 14.45/5.54 14.45/5.54 *new_esEs0(@2(xy230, xy231), @2(xy2600, xy2601), eh, app(app(app(ty_@3, fg), fh), ga)) -> new_esEs2(xy231, xy2601, fg, fh, ga) 14.45/5.54 The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4, 4 > 5 14.45/5.54 14.45/5.54 14.45/5.54 *new_esEs0(@2(xy230, xy231), @2(xy2600, xy2601), app(ty_Maybe, ec), dh) -> new_esEs1(xy230, xy2600, ec) 14.45/5.54 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 14.45/5.54 14.45/5.54 14.45/5.54 *new_esEs0(@2(xy230, xy231), @2(xy2600, xy2601), eh, app(ty_Maybe, ff)) -> new_esEs1(xy231, xy2601, ff) 14.45/5.54 The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 14.45/5.54 14.45/5.54 14.45/5.54 *new_esEs2(@3(xy230, xy231, xy232), @3(xy2600, xy2601, xy2602), app(app(ty_Either, hd), he), hf, hg) -> new_esEs(xy230, xy2600, hd, he) 14.45/5.54 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 14.45/5.54 14.45/5.54 14.45/5.54 *new_esEs2(@3(xy230, xy231, xy232), @3(xy2600, xy2601, xy2602), bag, app(app(ty_Either, bah), bba), hg) -> new_esEs(xy231, xy2601, bah, bba) 14.45/5.54 The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 14.45/5.54 14.45/5.54 14.45/5.54 *new_esEs2(@3(xy230, xy231, xy232), @3(xy2600, xy2601, xy2602), bag, hf, app(app(ty_Either, bca), bcb)) -> new_esEs(xy232, xy2602, bca, bcb) 14.45/5.54 The graph contains the following edges 1 > 1, 2 > 2, 5 > 3, 5 > 4 14.45/5.54 14.45/5.54 14.45/5.54 *new_esEs(Right(xy230), Right(xy2600), cc, app(app(ty_Either, cd), ce)) -> new_esEs(xy230, xy2600, cd, ce) 14.45/5.54 The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 14.45/5.54 14.45/5.54 14.45/5.54 *new_esEs(Left(xy230), Left(xy2600), app(app(ty_Either, ba), bb), bc) -> new_esEs(xy230, xy2600, ba, bb) 14.45/5.54 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 14.45/5.54 14.45/5.54 14.45/5.54 *new_esEs2(@3(xy230, xy231, xy232), @3(xy2600, xy2601, xy2602), bag, hf, app(app(ty_@2, bcc), bcd)) -> new_esEs0(xy232, xy2602, bcc, bcd) 14.45/5.54 The graph contains the following edges 1 > 1, 2 > 2, 5 > 3, 5 > 4 14.45/5.54 14.45/5.54 14.45/5.54 *new_esEs2(@3(xy230, xy231, xy232), @3(xy2600, xy2601, xy2602), app(app(ty_@2, hh), baa), hf, hg) -> new_esEs0(xy230, xy2600, hh, baa) 14.45/5.54 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 14.45/5.54 14.45/5.54 14.45/5.54 *new_esEs2(@3(xy230, xy231, xy232), @3(xy2600, xy2601, xy2602), bag, app(app(ty_@2, bbb), bbc), hg) -> new_esEs0(xy231, xy2601, bbb, bbc) 14.45/5.54 The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 14.45/5.54 14.45/5.54 14.45/5.54 *new_esEs2(@3(xy230, xy231, xy232), @3(xy2600, xy2601, xy2602), bag, hf, app(ty_[], bda)) -> new_esEs3(xy232, xy2602, bda) 14.45/5.54 The graph contains the following edges 1 > 1, 2 > 2, 5 > 3 14.45/5.54 14.45/5.54 14.45/5.54 *new_esEs2(@3(xy230, xy231, xy232), @3(xy2600, xy2601, xy2602), bag, app(ty_[], bbh), hg) -> new_esEs3(xy231, xy2601, bbh) 14.45/5.54 The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 14.45/5.54 14.45/5.54 14.45/5.54 *new_esEs2(@3(xy230, xy231, xy232), @3(xy2600, xy2601, xy2602), app(ty_[], baf), hf, hg) -> new_esEs3(xy230, xy2600, baf) 14.45/5.54 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 14.45/5.54 14.45/5.54 14.45/5.54 *new_esEs2(@3(xy230, xy231, xy232), @3(xy2600, xy2601, xy2602), bag, app(app(app(ty_@3, bbe), bbf), bbg), hg) -> new_esEs2(xy231, xy2601, bbe, bbf, bbg) 14.45/5.54 The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4, 4 > 5 14.45/5.54 14.45/5.54 14.45/5.54 *new_esEs2(@3(xy230, xy231, xy232), @3(xy2600, xy2601, xy2602), app(app(app(ty_@3, bac), bad), bae), hf, hg) -> new_esEs2(xy230, xy2600, bac, bad, bae) 14.45/5.54 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 14.45/5.54 14.45/5.54 14.45/5.54 *new_esEs2(@3(xy230, xy231, xy232), @3(xy2600, xy2601, xy2602), bag, hf, app(app(app(ty_@3, bcf), bcg), bch)) -> new_esEs2(xy232, xy2602, bcf, bcg, bch) 14.45/5.54 The graph contains the following edges 1 > 1, 2 > 2, 5 > 3, 5 > 4, 5 > 5 14.45/5.54 14.45/5.54 14.45/5.54 *new_esEs2(@3(xy230, xy231, xy232), @3(xy2600, xy2601, xy2602), app(ty_Maybe, bab), hf, hg) -> new_esEs1(xy230, xy2600, bab) 14.45/5.54 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 14.45/5.54 14.45/5.54 14.45/5.54 *new_esEs2(@3(xy230, xy231, xy232), @3(xy2600, xy2601, xy2602), bag, app(ty_Maybe, bbd), hg) -> new_esEs1(xy231, xy2601, bbd) 14.45/5.54 The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 14.45/5.54 14.45/5.54 14.45/5.54 *new_esEs2(@3(xy230, xy231, xy232), @3(xy2600, xy2601, xy2602), bag, hf, app(ty_Maybe, bce)) -> new_esEs1(xy232, xy2602, bce) 14.45/5.54 The graph contains the following edges 1 > 1, 2 > 2, 5 > 3 14.45/5.54 14.45/5.54 14.45/5.54 *new_esEs(Right(xy230), Right(xy2600), cc, app(app(ty_@2, cf), cg)) -> new_esEs0(xy230, xy2600, cf, cg) 14.45/5.54 The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 14.45/5.54 14.45/5.54 14.45/5.54 *new_esEs(Left(xy230), Left(xy2600), app(app(ty_@2, bd), be), bc) -> new_esEs0(xy230, xy2600, bd, be) 14.45/5.54 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 14.45/5.54 14.45/5.54 14.45/5.54 *new_esEs(Right(xy230), Right(xy2600), cc, app(ty_[], de)) -> new_esEs3(xy230, xy2600, de) 14.45/5.54 The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 14.45/5.54 14.45/5.54 14.45/5.54 *new_esEs(Left(xy230), Left(xy2600), app(ty_[], cb), bc) -> new_esEs3(xy230, xy2600, cb) 14.45/5.54 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 14.45/5.54 14.45/5.54 14.45/5.54 *new_esEs(Left(xy230), Left(xy2600), app(app(app(ty_@3, bg), bh), ca), bc) -> new_esEs2(xy230, xy2600, bg, bh, ca) 14.45/5.54 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 14.45/5.54 14.45/5.54 14.45/5.54 *new_esEs(Right(xy230), Right(xy2600), cc, app(app(app(ty_@3, db), dc), dd)) -> new_esEs2(xy230, xy2600, db, dc, dd) 14.45/5.54 The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4, 4 > 5 14.45/5.54 14.45/5.54 14.45/5.54 *new_esEs(Right(xy230), Right(xy2600), cc, app(ty_Maybe, da)) -> new_esEs1(xy230, xy2600, da) 14.45/5.54 The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 14.45/5.54 14.45/5.54 14.45/5.54 *new_esEs(Left(xy230), Left(xy2600), app(ty_Maybe, bf), bc) -> new_esEs1(xy230, xy2600, bf) 14.45/5.54 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 14.45/5.54 14.45/5.54 14.45/5.54 *new_esEs3(:(xy230, xy231), :(xy2600, xy2601), app(ty_[], beb)) -> new_esEs3(xy230, xy2600, beb) 14.45/5.54 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 14.45/5.54 14.45/5.54 14.45/5.54 *new_esEs3(:(xy230, xy231), :(xy2600, xy2601), bec) -> new_esEs3(xy231, xy2601, bec) 14.45/5.54 The graph contains the following edges 1 > 1, 2 > 2, 3 >= 3 14.45/5.54 14.45/5.54 14.45/5.54 ---------------------------------------- 14.45/5.54 14.45/5.54 (27) 14.45/5.54 YES 14.45/5.54 14.45/5.54 ---------------------------------------- 14.45/5.54 14.45/5.54 (28) 14.45/5.54 Obligation: 14.45/5.54 Q DP problem: 14.45/5.54 The TRS P consists of the following rules: 14.45/5.54 14.45/5.54 new_isPrefixOf(:(xy220, xy221), :(xy2610, xy2611), ba) -> new_isPrefixOf(xy221, xy2611, ba) 14.45/5.54 14.45/5.54 R is empty. 14.45/5.54 Q is empty. 14.45/5.54 We have to consider all minimal (P,Q,R)-chains. 14.45/5.54 ---------------------------------------- 14.45/5.54 14.45/5.54 (29) QDPSizeChangeProof (EQUIVALENT) 14.45/5.54 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. 14.45/5.54 14.45/5.54 From the DPs we obtained the following set of size-change graphs: 14.45/5.54 *new_isPrefixOf(:(xy220, xy221), :(xy2610, xy2611), ba) -> new_isPrefixOf(xy221, xy2611, ba) 14.45/5.54 The graph contains the following edges 1 > 1, 2 > 2, 3 >= 3 14.45/5.54 14.45/5.54 14.45/5.54 ---------------------------------------- 14.45/5.54 14.45/5.54 (30) 14.45/5.54 YES 14.45/5.54 14.45/5.54 ---------------------------------------- 14.45/5.54 14.45/5.54 (31) 14.45/5.54 Obligation: 14.45/5.54 Q DP problem: 14.45/5.54 The TRS P consists of the following rules: 14.45/5.54 14.45/5.54 new_primMulNat(Succ(xy23100), Succ(xy260000)) -> new_primMulNat(xy23100, Succ(xy260000)) 14.45/5.54 14.45/5.54 R is empty. 14.45/5.54 Q is empty. 14.45/5.54 We have to consider all minimal (P,Q,R)-chains. 14.45/5.54 ---------------------------------------- 14.45/5.54 14.45/5.54 (32) QDPSizeChangeProof (EQUIVALENT) 14.45/5.54 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. 14.45/5.54 14.45/5.54 From the DPs we obtained the following set of size-change graphs: 14.45/5.54 *new_primMulNat(Succ(xy23100), Succ(xy260000)) -> new_primMulNat(xy23100, Succ(xy260000)) 14.45/5.54 The graph contains the following edges 1 > 1, 2 >= 2 14.45/5.54 14.45/5.54 14.45/5.54 ---------------------------------------- 14.45/5.54 14.45/5.54 (33) 14.45/5.54 YES 14.45/5.54 14.45/5.54 ---------------------------------------- 14.45/5.54 14.45/5.54 (34) 14.45/5.54 Obligation: 14.45/5.54 Q DP problem: 14.45/5.54 The TRS P consists of the following rules: 14.45/5.54 14.45/5.54 new_primPlusNat(Succ(xy4700), Succ(xy2600000)) -> new_primPlusNat(xy4700, xy2600000) 14.45/5.54 14.45/5.54 R is empty. 14.45/5.54 Q is empty. 14.45/5.54 We have to consider all minimal (P,Q,R)-chains. 14.45/5.54 ---------------------------------------- 14.45/5.54 14.45/5.54 (35) QDPSizeChangeProof (EQUIVALENT) 14.45/5.54 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. 14.45/5.54 14.45/5.54 From the DPs we obtained the following set of size-change graphs: 14.45/5.54 *new_primPlusNat(Succ(xy4700), Succ(xy2600000)) -> new_primPlusNat(xy4700, xy2600000) 14.45/5.54 The graph contains the following edges 1 > 1, 2 > 2 14.45/5.54 14.45/5.54 14.45/5.54 ---------------------------------------- 14.45/5.54 14.45/5.54 (36) 14.45/5.54 YES 14.45/5.54 14.45/5.54 ---------------------------------------- 14.45/5.54 14.45/5.54 (37) 14.45/5.54 Obligation: 14.45/5.54 Q DP problem: 14.45/5.54 The TRS P consists of the following rules: 14.45/5.54 14.45/5.54 new_primEqNat(Succ(xy2300), Succ(xy26000)) -> new_primEqNat(xy2300, xy26000) 14.45/5.54 14.45/5.54 R is empty. 14.45/5.54 Q is empty. 14.45/5.54 We have to consider all minimal (P,Q,R)-chains. 14.45/5.54 ---------------------------------------- 14.45/5.54 14.45/5.54 (38) QDPSizeChangeProof (EQUIVALENT) 14.45/5.54 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. 14.45/5.54 14.45/5.54 From the DPs we obtained the following set of size-change graphs: 14.45/5.54 *new_primEqNat(Succ(xy2300), Succ(xy26000)) -> new_primEqNat(xy2300, xy26000) 14.45/5.54 The graph contains the following edges 1 > 1, 2 > 2 14.45/5.54 14.45/5.54 14.45/5.54 ---------------------------------------- 14.45/5.54 14.45/5.54 (39) 14.45/5.54 YES 14.45/5.58 EOF