11.87/4.88 YES 13.92/5.39 proof of /export/starexec/sandbox2/benchmark/theBenchmark.hs 13.92/5.39 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 13.92/5.39 13.92/5.39 13.92/5.39 H-Termination with start terms of the given HASKELL could be proven: 13.92/5.39 13.92/5.39 (0) HASKELL 13.92/5.39 (1) BR [EQUIVALENT, 0 ms] 13.92/5.39 (2) HASKELL 13.92/5.39 (3) COR [EQUIVALENT, 2 ms] 13.92/5.39 (4) HASKELL 13.92/5.39 (5) Narrow [SOUND, 0 ms] 13.92/5.39 (6) AND 13.92/5.39 (7) QDP 13.92/5.39 (8) TransformationProof [EQUIVALENT, 0 ms] 13.92/5.39 (9) QDP 13.92/5.39 (10) UsableRulesProof [EQUIVALENT, 0 ms] 13.92/5.39 (11) QDP 13.92/5.39 (12) QReductionProof [EQUIVALENT, 0 ms] 13.92/5.39 (13) QDP 13.92/5.39 (14) QDPSizeChangeProof [EQUIVALENT, 0 ms] 13.92/5.39 (15) YES 13.92/5.39 (16) QDP 13.92/5.39 (17) QDPSizeChangeProof [EQUIVALENT, 0 ms] 13.92/5.39 (18) YES 13.92/5.39 (19) QDP 13.92/5.39 (20) TransformationProof [EQUIVALENT, 0 ms] 13.92/5.39 (21) QDP 13.92/5.39 (22) UsableRulesProof [EQUIVALENT, 0 ms] 13.92/5.39 (23) QDP 13.92/5.39 (24) QReductionProof [EQUIVALENT, 0 ms] 13.92/5.39 (25) QDP 13.92/5.39 (26) QDPSizeChangeProof [EQUIVALENT, 0 ms] 13.92/5.39 (27) YES 13.92/5.39 (28) QDP 13.92/5.39 (29) QDPSizeChangeProof [EQUIVALENT, 0 ms] 13.92/5.39 (30) YES 13.92/5.39 (31) QDP 13.92/5.39 (32) QDPSizeChangeProof [EQUIVALENT, 0 ms] 13.92/5.39 (33) YES 13.92/5.39 (34) QDP 13.92/5.39 (35) QDPSizeChangeProof [EQUIVALENT, 0 ms] 13.92/5.39 (36) YES 13.92/5.39 (37) QDP 13.92/5.39 (38) QDPSizeChangeProof [EQUIVALENT, 0 ms] 13.92/5.39 (39) YES 13.92/5.39 13.92/5.39 13.92/5.39 ---------------------------------------- 13.92/5.39 13.92/5.39 (0) 13.92/5.39 Obligation: 13.92/5.39 mainModule Main 13.92/5.39 module Maybe where { 13.92/5.39 import qualified List; 13.92/5.39 import qualified Main; 13.92/5.39 import qualified Prelude; 13.92/5.39 } 13.92/5.39 module List where { 13.92/5.39 import qualified Main; 13.92/5.39 import qualified Maybe; 13.92/5.39 import qualified Prelude; 13.92/5.39 isPrefixOf :: Eq a => [a] -> [a] -> Bool; 13.92/5.39 isPrefixOf [] _ = True; 13.92/5.39 isPrefixOf _ [] = False; 13.92/5.39 isPrefixOf (x : xs) (y : ys) = x == y && isPrefixOf xs ys; 13.92/5.39 13.92/5.39 isSuffixOf :: Eq a => [a] -> [a] -> Bool; 13.92/5.39 isSuffixOf x y = reverse x `isPrefixOf` reverse y; 13.92/5.39 13.92/5.39 } 13.92/5.39 module Main where { 13.92/5.39 import qualified List; 13.92/5.39 import qualified Maybe; 13.92/5.39 import qualified Prelude; 13.92/5.39 } 13.92/5.39 13.92/5.39 ---------------------------------------- 13.92/5.39 13.92/5.39 (1) BR (EQUIVALENT) 13.92/5.39 Replaced joker patterns by fresh variables and removed binding patterns. 13.92/5.39 ---------------------------------------- 13.92/5.39 13.92/5.39 (2) 13.92/5.39 Obligation: 13.92/5.39 mainModule Main 13.92/5.39 module Maybe where { 13.92/5.39 import qualified List; 13.92/5.39 import qualified Main; 13.92/5.39 import qualified Prelude; 13.92/5.39 } 13.92/5.39 module List where { 13.92/5.39 import qualified Main; 13.92/5.39 import qualified Maybe; 13.92/5.39 import qualified Prelude; 13.92/5.39 isPrefixOf :: Eq a => [a] -> [a] -> Bool; 13.92/5.39 isPrefixOf [] xw = True; 13.92/5.39 isPrefixOf xx [] = False; 13.92/5.39 isPrefixOf (x : xs) (y : ys) = x == y && isPrefixOf xs ys; 13.92/5.39 13.92/5.39 isSuffixOf :: Eq a => [a] -> [a] -> Bool; 13.92/5.39 isSuffixOf x y = reverse x `isPrefixOf` reverse y; 13.92/5.39 13.92/5.39 } 13.92/5.39 module Main where { 13.92/5.39 import qualified List; 13.92/5.39 import qualified Maybe; 13.92/5.39 import qualified Prelude; 13.92/5.39 } 13.92/5.39 13.92/5.39 ---------------------------------------- 13.92/5.39 13.92/5.39 (3) COR (EQUIVALENT) 13.92/5.39 Cond Reductions: 13.92/5.39 The following Function with conditions 13.92/5.39 "undefined |Falseundefined; 13.92/5.39 " 13.92/5.39 is transformed to 13.92/5.39 "undefined = undefined1; 13.92/5.39 " 13.92/5.39 "undefined0 True = undefined; 13.92/5.39 " 13.92/5.39 "undefined1 = undefined0 False; 13.92/5.39 " 13.92/5.39 13.92/5.39 ---------------------------------------- 13.92/5.39 13.92/5.39 (4) 13.92/5.39 Obligation: 13.92/5.39 mainModule Main 13.92/5.39 module Maybe where { 13.92/5.39 import qualified List; 13.92/5.39 import qualified Main; 13.92/5.39 import qualified Prelude; 13.92/5.39 } 13.92/5.39 module List where { 13.92/5.39 import qualified Main; 13.92/5.39 import qualified Maybe; 13.92/5.39 import qualified Prelude; 13.92/5.39 isPrefixOf :: Eq a => [a] -> [a] -> Bool; 13.92/5.39 isPrefixOf [] xw = True; 13.92/5.39 isPrefixOf xx [] = False; 13.92/5.39 isPrefixOf (x : xs) (y : ys) = x == y && isPrefixOf xs ys; 13.92/5.39 13.92/5.39 isSuffixOf :: Eq a => [a] -> [a] -> Bool; 13.92/5.39 isSuffixOf x y = reverse x `isPrefixOf` reverse y; 13.92/5.39 13.92/5.39 } 13.92/5.39 module Main where { 13.92/5.39 import qualified List; 13.92/5.39 import qualified Maybe; 13.92/5.39 import qualified Prelude; 13.92/5.39 } 13.92/5.39 13.92/5.39 ---------------------------------------- 13.92/5.39 13.92/5.39 (5) Narrow (SOUND) 13.92/5.39 Haskell To QDPs 13.92/5.39 13.92/5.39 digraph dp_graph { 13.92/5.39 node [outthreshold=100, inthreshold=100];1[label="List.isSuffixOf",fontsize=16,color="grey",shape="box"];1 -> 3[label="",style="dashed", color="grey", weight=3]; 13.92/5.39 3[label="List.isSuffixOf xy3",fontsize=16,color="grey",shape="box"];3 -> 4[label="",style="dashed", color="grey", weight=3]; 13.92/5.39 4[label="List.isSuffixOf xy3 xy4",fontsize=16,color="black",shape="triangle"];4 -> 5[label="",style="solid", color="black", weight=3]; 13.92/5.39 5[label="List.isPrefixOf (reverse xy3) (reverse xy4)",fontsize=16,color="black",shape="box"];5 -> 6[label="",style="solid", color="black", weight=3]; 13.92/5.39 6[label="List.isPrefixOf (foldl (flip (:)) [] xy3) (reverse xy4)",fontsize=16,color="burlywood",shape="box"];1294[label="xy3/xy30 : xy31",fontsize=10,color="white",style="solid",shape="box"];6 -> 1294[label="",style="solid", color="burlywood", weight=9]; 13.92/5.39 1294 -> 7[label="",style="solid", color="burlywood", weight=3]; 13.92/5.39 1295[label="xy3/[]",fontsize=10,color="white",style="solid",shape="box"];6 -> 1295[label="",style="solid", color="burlywood", weight=9]; 13.92/5.39 1295 -> 8[label="",style="solid", color="burlywood", weight=3]; 13.92/5.39 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]; 13.92/5.39 8[label="List.isPrefixOf (foldl (flip (:)) [] []) (reverse xy4)",fontsize=16,color="black",shape="box"];8 -> 10[label="",style="solid", color="black", weight=3]; 13.92/5.39 9 -> 304[label="",style="dashed", color="red", weight=0]; 13.92/5.39 9[label="List.isPrefixOf (foldl (flip (:)) (flip (:) [] xy30) xy31) (reverse xy4)",fontsize=16,color="magenta"];9 -> 305[label="",style="dashed", color="magenta", weight=3]; 13.92/5.39 9 -> 306[label="",style="dashed", color="magenta", weight=3]; 13.92/5.39 9 -> 307[label="",style="dashed", color="magenta", weight=3]; 13.92/5.39 9 -> 308[label="",style="dashed", color="magenta", weight=3]; 13.92/5.39 10[label="List.isPrefixOf [] (reverse xy4)",fontsize=16,color="black",shape="box"];10 -> 13[label="",style="solid", color="black", weight=3]; 13.92/5.39 305[label="xy31",fontsize=16,color="green",shape="box"];306[label="xy4",fontsize=16,color="green",shape="box"];307[label="[]",fontsize=16,color="green",shape="box"];308[label="xy30",fontsize=16,color="green",shape="box"];304[label="List.isPrefixOf (foldl (flip (:)) (flip (:) xy22 xy23) xy24) (reverse xy25)",fontsize=16,color="burlywood",shape="triangle"];1296[label="xy24/xy240 : xy241",fontsize=10,color="white",style="solid",shape="box"];304 -> 1296[label="",style="solid", color="burlywood", weight=9]; 13.92/5.39 1296 -> 341[label="",style="solid", color="burlywood", weight=3]; 13.92/5.39 1297[label="xy24/[]",fontsize=10,color="white",style="solid",shape="box"];304 -> 1297[label="",style="solid", color="burlywood", weight=9]; 13.92/5.39 1297 -> 342[label="",style="solid", color="burlywood", weight=3]; 13.92/5.39 13[label="True",fontsize=16,color="green",shape="box"];341[label="List.isPrefixOf (foldl (flip (:)) (flip (:) xy22 xy23) (xy240 : xy241)) (reverse xy25)",fontsize=16,color="black",shape="box"];341 -> 343[label="",style="solid", color="black", weight=3]; 13.92/5.39 342[label="List.isPrefixOf (foldl (flip (:)) (flip (:) xy22 xy23) []) (reverse xy25)",fontsize=16,color="black",shape="box"];342 -> 344[label="",style="solid", color="black", weight=3]; 13.92/5.39 343 -> 304[label="",style="dashed", color="red", weight=0]; 13.92/5.39 343[label="List.isPrefixOf (foldl (flip (:)) (flip (:) (flip (:) xy22 xy23) xy240) xy241) (reverse xy25)",fontsize=16,color="magenta"];343 -> 345[label="",style="dashed", color="magenta", weight=3]; 13.92/5.39 343 -> 346[label="",style="dashed", color="magenta", weight=3]; 13.92/5.39 343 -> 347[label="",style="dashed", color="magenta", weight=3]; 13.92/5.39 344[label="List.isPrefixOf (flip (:) xy22 xy23) (reverse xy25)",fontsize=16,color="black",shape="box"];344 -> 348[label="",style="solid", color="black", weight=3]; 13.92/5.39 345[label="xy241",fontsize=16,color="green",shape="box"];346[label="flip (:) xy22 xy23",fontsize=16,color="black",shape="triangle"];346 -> 349[label="",style="solid", color="black", weight=3]; 13.92/5.39 347[label="xy240",fontsize=16,color="green",shape="box"];348[label="List.isPrefixOf ((:) xy23 xy22) (reverse xy25)",fontsize=16,color="black",shape="box"];348 -> 350[label="",style="solid", color="black", weight=3]; 13.92/5.39 349[label="(:) xy23 xy22",fontsize=16,color="green",shape="box"];350 -> 355[label="",style="dashed", color="red", weight=0]; 13.92/5.39 350[label="List.isPrefixOf ((:) xy23 xy22) (foldl (flip (:)) [] xy25)",fontsize=16,color="magenta"];350 -> 356[label="",style="dashed", color="magenta", weight=3]; 13.92/5.39 350 -> 357[label="",style="dashed", color="magenta", weight=3]; 13.92/5.39 356[label="xy25",fontsize=16,color="green",shape="box"];357[label="[]",fontsize=16,color="green",shape="box"];355[label="List.isPrefixOf ((:) xy23 xy22) (foldl (flip (:)) xy26 xy251)",fontsize=16,color="burlywood",shape="triangle"];1298[label="xy251/xy2510 : xy2511",fontsize=10,color="white",style="solid",shape="box"];355 -> 1298[label="",style="solid", color="burlywood", weight=9]; 13.92/5.39 1298 -> 359[label="",style="solid", color="burlywood", weight=3]; 13.92/5.39 1299[label="xy251/[]",fontsize=10,color="white",style="solid",shape="box"];355 -> 1299[label="",style="solid", color="burlywood", weight=9]; 13.92/5.39 1299 -> 360[label="",style="solid", color="burlywood", weight=3]; 13.92/5.39 359[label="List.isPrefixOf ((:) xy23 xy22) (foldl (flip (:)) xy26 (xy2510 : xy2511))",fontsize=16,color="black",shape="box"];359 -> 361[label="",style="solid", color="black", weight=3]; 13.92/5.39 360[label="List.isPrefixOf ((:) xy23 xy22) (foldl (flip (:)) xy26 [])",fontsize=16,color="black",shape="box"];360 -> 362[label="",style="solid", color="black", weight=3]; 13.92/5.39 361 -> 355[label="",style="dashed", color="red", weight=0]; 13.92/5.39 361[label="List.isPrefixOf ((:) xy23 xy22) (foldl (flip (:)) (flip (:) xy26 xy2510) xy2511)",fontsize=16,color="magenta"];361 -> 363[label="",style="dashed", color="magenta", weight=3]; 13.92/5.39 361 -> 364[label="",style="dashed", color="magenta", weight=3]; 13.92/5.39 362[label="List.isPrefixOf ((:) xy23 xy22) xy26",fontsize=16,color="burlywood",shape="box"];1300[label="xy26/xy260 : xy261",fontsize=10,color="white",style="solid",shape="box"];362 -> 1300[label="",style="solid", color="burlywood", weight=9]; 13.92/5.39 1300 -> 365[label="",style="solid", color="burlywood", weight=3]; 13.92/5.39 1301[label="xy26/[]",fontsize=10,color="white",style="solid",shape="box"];362 -> 1301[label="",style="solid", color="burlywood", weight=9]; 13.92/5.39 1301 -> 366[label="",style="solid", color="burlywood", weight=3]; 13.92/5.39 363[label="xy2511",fontsize=16,color="green",shape="box"];364 -> 346[label="",style="dashed", color="red", weight=0]; 13.92/5.39 364[label="flip (:) xy26 xy2510",fontsize=16,color="magenta"];364 -> 367[label="",style="dashed", color="magenta", weight=3]; 13.92/5.39 364 -> 368[label="",style="dashed", color="magenta", weight=3]; 13.92/5.39 365[label="List.isPrefixOf ((:) xy23 xy22) (xy260 : xy261)",fontsize=16,color="black",shape="box"];365 -> 369[label="",style="solid", color="black", weight=3]; 13.92/5.39 366[label="List.isPrefixOf ((:) xy23 xy22) []",fontsize=16,color="black",shape="box"];366 -> 370[label="",style="solid", color="black", weight=3]; 13.92/5.39 367[label="xy26",fontsize=16,color="green",shape="box"];368[label="xy2510",fontsize=16,color="green",shape="box"];369 -> 595[label="",style="dashed", color="red", weight=0]; 13.92/5.39 369[label="xy23 == xy260 && List.isPrefixOf xy22 xy261",fontsize=16,color="magenta"];369 -> 596[label="",style="dashed", color="magenta", weight=3]; 13.92/5.39 369 -> 597[label="",style="dashed", color="magenta", weight=3]; 13.92/5.39 370[label="False",fontsize=16,color="green",shape="box"];596[label="xy23 == xy260",fontsize=16,color="blue",shape="box"];1302[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];596 -> 1302[label="",style="solid", color="blue", weight=9]; 13.92/5.39 1302 -> 613[label="",style="solid", color="blue", weight=3]; 13.92/5.39 1303[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];596 -> 1303[label="",style="solid", color="blue", weight=9]; 13.92/5.39 1303 -> 614[label="",style="solid", color="blue", weight=3]; 13.92/5.39 1304[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];596 -> 1304[label="",style="solid", color="blue", weight=9]; 13.92/5.39 1304 -> 615[label="",style="solid", color="blue", weight=3]; 13.92/5.39 1305[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];596 -> 1305[label="",style="solid", color="blue", weight=9]; 13.92/5.39 1305 -> 616[label="",style="solid", color="blue", weight=3]; 13.92/5.39 1306[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];596 -> 1306[label="",style="solid", color="blue", weight=9]; 13.92/5.39 1306 -> 617[label="",style="solid", color="blue", weight=3]; 13.92/5.39 1307[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];596 -> 1307[label="",style="solid", color="blue", weight=9]; 13.92/5.39 1307 -> 618[label="",style="solid", color="blue", weight=3]; 13.92/5.39 1308[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];596 -> 1308[label="",style="solid", color="blue", weight=9]; 13.92/5.39 1308 -> 619[label="",style="solid", color="blue", weight=3]; 13.92/5.39 1309[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];596 -> 1309[label="",style="solid", color="blue", weight=9]; 13.92/5.39 1309 -> 620[label="",style="solid", color="blue", weight=3]; 13.92/5.39 1310[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];596 -> 1310[label="",style="solid", color="blue", weight=9]; 13.92/5.39 1310 -> 621[label="",style="solid", color="blue", weight=3]; 13.92/5.39 1311[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];596 -> 1311[label="",style="solid", color="blue", weight=9]; 13.92/5.39 1311 -> 622[label="",style="solid", color="blue", weight=3]; 13.92/5.39 1312[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];596 -> 1312[label="",style="solid", color="blue", weight=9]; 13.92/5.39 1312 -> 623[label="",style="solid", color="blue", weight=3]; 13.92/5.39 1313[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];596 -> 1313[label="",style="solid", color="blue", weight=9]; 13.92/5.39 1313 -> 624[label="",style="solid", color="blue", weight=3]; 13.92/5.39 1314[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];596 -> 1314[label="",style="solid", color="blue", weight=9]; 13.92/5.39 1314 -> 625[label="",style="solid", color="blue", weight=3]; 13.92/5.39 1315[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];596 -> 1315[label="",style="solid", color="blue", weight=9]; 13.92/5.39 1315 -> 626[label="",style="solid", color="blue", weight=3]; 13.92/5.39 597[label="List.isPrefixOf xy22 xy261",fontsize=16,color="burlywood",shape="triangle"];1316[label="xy22/xy220 : xy221",fontsize=10,color="white",style="solid",shape="box"];597 -> 1316[label="",style="solid", color="burlywood", weight=9]; 13.92/5.39 1316 -> 627[label="",style="solid", color="burlywood", weight=3]; 13.92/5.39 1317[label="xy22/[]",fontsize=10,color="white",style="solid",shape="box"];597 -> 1317[label="",style="solid", color="burlywood", weight=9]; 13.92/5.39 1317 -> 628[label="",style="solid", color="burlywood", weight=3]; 13.92/5.39 595[label="xy40 && xy52",fontsize=16,color="burlywood",shape="triangle"];1318[label="xy40/False",fontsize=10,color="white",style="solid",shape="box"];595 -> 1318[label="",style="solid", color="burlywood", weight=9]; 13.92/5.39 1318 -> 629[label="",style="solid", color="burlywood", weight=3]; 13.92/5.39 1319[label="xy40/True",fontsize=10,color="white",style="solid",shape="box"];595 -> 1319[label="",style="solid", color="burlywood", weight=9]; 13.92/5.39 1319 -> 630[label="",style="solid", color="burlywood", weight=3]; 13.92/5.39 613[label="xy23 == xy260",fontsize=16,color="black",shape="triangle"];613 -> 631[label="",style="solid", color="black", weight=3]; 13.92/5.39 614[label="xy23 == xy260",fontsize=16,color="black",shape="triangle"];614 -> 632[label="",style="solid", color="black", weight=3]; 13.92/5.39 615[label="xy23 == xy260",fontsize=16,color="burlywood",shape="triangle"];1320[label="xy23/LT",fontsize=10,color="white",style="solid",shape="box"];615 -> 1320[label="",style="solid", color="burlywood", weight=9]; 13.92/5.39 1320 -> 633[label="",style="solid", color="burlywood", weight=3]; 13.92/5.39 1321[label="xy23/EQ",fontsize=10,color="white",style="solid",shape="box"];615 -> 1321[label="",style="solid", color="burlywood", weight=9]; 13.92/5.39 1321 -> 634[label="",style="solid", color="burlywood", weight=3]; 13.92/5.39 1322[label="xy23/GT",fontsize=10,color="white",style="solid",shape="box"];615 -> 1322[label="",style="solid", color="burlywood", weight=9]; 13.92/5.39 1322 -> 635[label="",style="solid", color="burlywood", weight=3]; 13.92/5.39 616[label="xy23 == xy260",fontsize=16,color="black",shape="triangle"];616 -> 636[label="",style="solid", color="black", weight=3]; 13.92/5.39 617[label="xy23 == xy260",fontsize=16,color="burlywood",shape="triangle"];1323[label="xy23/(xy230,xy231,xy232)",fontsize=10,color="white",style="solid",shape="box"];617 -> 1323[label="",style="solid", color="burlywood", weight=9]; 13.92/5.39 1323 -> 637[label="",style="solid", color="burlywood", weight=3]; 13.92/5.39 618[label="xy23 == xy260",fontsize=16,color="burlywood",shape="triangle"];1324[label="xy23/(xy230,xy231)",fontsize=10,color="white",style="solid",shape="box"];618 -> 1324[label="",style="solid", color="burlywood", weight=9]; 13.92/5.39 1324 -> 638[label="",style="solid", color="burlywood", weight=3]; 13.92/5.39 619[label="xy23 == xy260",fontsize=16,color="burlywood",shape="triangle"];1325[label="xy23/()",fontsize=10,color="white",style="solid",shape="box"];619 -> 1325[label="",style="solid", color="burlywood", weight=9]; 13.92/5.39 1325 -> 639[label="",style="solid", color="burlywood", weight=3]; 13.92/5.39 620[label="xy23 == xy260",fontsize=16,color="black",shape="triangle"];620 -> 640[label="",style="solid", color="black", weight=3]; 13.92/5.39 621[label="xy23 == xy260",fontsize=16,color="burlywood",shape="triangle"];1326[label="xy23/xy230 : xy231",fontsize=10,color="white",style="solid",shape="box"];621 -> 1326[label="",style="solid", color="burlywood", weight=9]; 13.92/5.39 1326 -> 641[label="",style="solid", color="burlywood", weight=3]; 13.92/5.39 1327[label="xy23/[]",fontsize=10,color="white",style="solid",shape="box"];621 -> 1327[label="",style="solid", color="burlywood", weight=9]; 13.92/5.39 1327 -> 642[label="",style="solid", color="burlywood", weight=3]; 13.92/5.39 622[label="xy23 == xy260",fontsize=16,color="burlywood",shape="triangle"];1328[label="xy23/Nothing",fontsize=10,color="white",style="solid",shape="box"];622 -> 1328[label="",style="solid", color="burlywood", weight=9]; 13.92/5.39 1328 -> 643[label="",style="solid", color="burlywood", weight=3]; 13.92/5.39 1329[label="xy23/Just xy230",fontsize=10,color="white",style="solid",shape="box"];622 -> 1329[label="",style="solid", color="burlywood", weight=9]; 13.92/5.39 1329 -> 644[label="",style="solid", color="burlywood", weight=3]; 13.92/5.39 623[label="xy23 == xy260",fontsize=16,color="burlywood",shape="triangle"];1330[label="xy23/Left xy230",fontsize=10,color="white",style="solid",shape="box"];623 -> 1330[label="",style="solid", color="burlywood", weight=9]; 13.92/5.39 1330 -> 645[label="",style="solid", color="burlywood", weight=3]; 13.92/5.39 1331[label="xy23/Right xy230",fontsize=10,color="white",style="solid",shape="box"];623 -> 1331[label="",style="solid", color="burlywood", weight=9]; 13.92/5.39 1331 -> 646[label="",style="solid", color="burlywood", weight=3]; 13.92/5.39 624[label="xy23 == xy260",fontsize=16,color="burlywood",shape="triangle"];1332[label="xy23/Integer xy230",fontsize=10,color="white",style="solid",shape="box"];624 -> 1332[label="",style="solid", color="burlywood", weight=9]; 13.92/5.39 1332 -> 647[label="",style="solid", color="burlywood", weight=3]; 13.92/5.39 625[label="xy23 == xy260",fontsize=16,color="burlywood",shape="triangle"];1333[label="xy23/False",fontsize=10,color="white",style="solid",shape="box"];625 -> 1333[label="",style="solid", color="burlywood", weight=9]; 13.92/5.39 1333 -> 648[label="",style="solid", color="burlywood", weight=3]; 13.92/5.39 1334[label="xy23/True",fontsize=10,color="white",style="solid",shape="box"];625 -> 1334[label="",style="solid", color="burlywood", weight=9]; 13.92/5.39 1334 -> 649[label="",style="solid", color="burlywood", weight=3]; 13.92/5.39 626[label="xy23 == xy260",fontsize=16,color="burlywood",shape="triangle"];1335[label="xy23/xy230 :% xy231",fontsize=10,color="white",style="solid",shape="box"];626 -> 1335[label="",style="solid", color="burlywood", weight=9]; 13.92/5.39 1335 -> 650[label="",style="solid", color="burlywood", weight=3]; 13.92/5.39 627[label="List.isPrefixOf (xy220 : xy221) xy261",fontsize=16,color="burlywood",shape="box"];1336[label="xy261/xy2610 : xy2611",fontsize=10,color="white",style="solid",shape="box"];627 -> 1336[label="",style="solid", color="burlywood", weight=9]; 13.92/5.39 1336 -> 651[label="",style="solid", color="burlywood", weight=3]; 13.92/5.39 1337[label="xy261/[]",fontsize=10,color="white",style="solid",shape="box"];627 -> 1337[label="",style="solid", color="burlywood", weight=9]; 13.92/5.39 1337 -> 652[label="",style="solid", color="burlywood", weight=3]; 13.92/5.39 628[label="List.isPrefixOf [] xy261",fontsize=16,color="black",shape="box"];628 -> 653[label="",style="solid", color="black", weight=3]; 13.92/5.39 629[label="False && xy52",fontsize=16,color="black",shape="box"];629 -> 654[label="",style="solid", color="black", weight=3]; 13.92/5.39 630[label="True && xy52",fontsize=16,color="black",shape="box"];630 -> 655[label="",style="solid", color="black", weight=3]; 13.92/5.39 631[label="primEqInt xy23 xy260",fontsize=16,color="burlywood",shape="triangle"];1338[label="xy23/Pos xy230",fontsize=10,color="white",style="solid",shape="box"];631 -> 1338[label="",style="solid", color="burlywood", weight=9]; 13.92/5.39 1338 -> 656[label="",style="solid", color="burlywood", weight=3]; 13.92/5.39 1339[label="xy23/Neg xy230",fontsize=10,color="white",style="solid",shape="box"];631 -> 1339[label="",style="solid", color="burlywood", weight=9]; 13.92/5.39 1339 -> 657[label="",style="solid", color="burlywood", weight=3]; 13.92/5.39 632[label="primEqFloat xy23 xy260",fontsize=16,color="burlywood",shape="box"];1340[label="xy23/Float xy230 xy231",fontsize=10,color="white",style="solid",shape="box"];632 -> 1340[label="",style="solid", color="burlywood", weight=9]; 13.92/5.39 1340 -> 658[label="",style="solid", color="burlywood", weight=3]; 13.92/5.39 633[label="LT == xy260",fontsize=16,color="burlywood",shape="box"];1341[label="xy260/LT",fontsize=10,color="white",style="solid",shape="box"];633 -> 1341[label="",style="solid", color="burlywood", weight=9]; 13.92/5.39 1341 -> 659[label="",style="solid", color="burlywood", weight=3]; 13.92/5.39 1342[label="xy260/EQ",fontsize=10,color="white",style="solid",shape="box"];633 -> 1342[label="",style="solid", color="burlywood", weight=9]; 13.92/5.39 1342 -> 660[label="",style="solid", color="burlywood", weight=3]; 13.92/5.39 1343[label="xy260/GT",fontsize=10,color="white",style="solid",shape="box"];633 -> 1343[label="",style="solid", color="burlywood", weight=9]; 13.92/5.39 1343 -> 661[label="",style="solid", color="burlywood", weight=3]; 13.92/5.39 634[label="EQ == xy260",fontsize=16,color="burlywood",shape="box"];1344[label="xy260/LT",fontsize=10,color="white",style="solid",shape="box"];634 -> 1344[label="",style="solid", color="burlywood", weight=9]; 13.92/5.39 1344 -> 662[label="",style="solid", color="burlywood", weight=3]; 13.92/5.39 1345[label="xy260/EQ",fontsize=10,color="white",style="solid",shape="box"];634 -> 1345[label="",style="solid", color="burlywood", weight=9]; 13.92/5.39 1345 -> 663[label="",style="solid", color="burlywood", weight=3]; 13.92/5.39 1346[label="xy260/GT",fontsize=10,color="white",style="solid",shape="box"];634 -> 1346[label="",style="solid", color="burlywood", weight=9]; 13.92/5.39 1346 -> 664[label="",style="solid", color="burlywood", weight=3]; 13.92/5.39 635[label="GT == xy260",fontsize=16,color="burlywood",shape="box"];1347[label="xy260/LT",fontsize=10,color="white",style="solid",shape="box"];635 -> 1347[label="",style="solid", color="burlywood", weight=9]; 13.92/5.39 1347 -> 665[label="",style="solid", color="burlywood", weight=3]; 13.92/5.39 1348[label="xy260/EQ",fontsize=10,color="white",style="solid",shape="box"];635 -> 1348[label="",style="solid", color="burlywood", weight=9]; 13.92/5.39 1348 -> 666[label="",style="solid", color="burlywood", weight=3]; 13.92/5.39 1349[label="xy260/GT",fontsize=10,color="white",style="solid",shape="box"];635 -> 1349[label="",style="solid", color="burlywood", weight=9]; 13.92/5.39 1349 -> 667[label="",style="solid", color="burlywood", weight=3]; 13.92/5.39 636[label="primEqChar xy23 xy260",fontsize=16,color="burlywood",shape="box"];1350[label="xy23/Char xy230",fontsize=10,color="white",style="solid",shape="box"];636 -> 1350[label="",style="solid", color="burlywood", weight=9]; 13.92/5.39 1350 -> 668[label="",style="solid", color="burlywood", weight=3]; 13.92/5.39 637[label="(xy230,xy231,xy232) == xy260",fontsize=16,color="burlywood",shape="box"];1351[label="xy260/(xy2600,xy2601,xy2602)",fontsize=10,color="white",style="solid",shape="box"];637 -> 1351[label="",style="solid", color="burlywood", weight=9]; 13.92/5.39 1351 -> 669[label="",style="solid", color="burlywood", weight=3]; 13.92/5.39 638[label="(xy230,xy231) == xy260",fontsize=16,color="burlywood",shape="box"];1352[label="xy260/(xy2600,xy2601)",fontsize=10,color="white",style="solid",shape="box"];638 -> 1352[label="",style="solid", color="burlywood", weight=9]; 13.92/5.39 1352 -> 670[label="",style="solid", color="burlywood", weight=3]; 13.92/5.39 639[label="() == xy260",fontsize=16,color="burlywood",shape="box"];1353[label="xy260/()",fontsize=10,color="white",style="solid",shape="box"];639 -> 1353[label="",style="solid", color="burlywood", weight=9]; 13.92/5.39 1353 -> 671[label="",style="solid", color="burlywood", weight=3]; 13.92/5.39 640[label="primEqDouble xy23 xy260",fontsize=16,color="burlywood",shape="box"];1354[label="xy23/Double xy230 xy231",fontsize=10,color="white",style="solid",shape="box"];640 -> 1354[label="",style="solid", color="burlywood", weight=9]; 13.92/5.39 1354 -> 672[label="",style="solid", color="burlywood", weight=3]; 13.92/5.39 641[label="xy230 : xy231 == xy260",fontsize=16,color="burlywood",shape="box"];1355[label="xy260/xy2600 : xy2601",fontsize=10,color="white",style="solid",shape="box"];641 -> 1355[label="",style="solid", color="burlywood", weight=9]; 13.92/5.39 1355 -> 673[label="",style="solid", color="burlywood", weight=3]; 13.92/5.39 1356[label="xy260/[]",fontsize=10,color="white",style="solid",shape="box"];641 -> 1356[label="",style="solid", color="burlywood", weight=9]; 13.92/5.39 1356 -> 674[label="",style="solid", color="burlywood", weight=3]; 13.92/5.39 642[label="[] == xy260",fontsize=16,color="burlywood",shape="box"];1357[label="xy260/xy2600 : xy2601",fontsize=10,color="white",style="solid",shape="box"];642 -> 1357[label="",style="solid", color="burlywood", weight=9]; 13.92/5.39 1357 -> 675[label="",style="solid", color="burlywood", weight=3]; 13.92/5.39 1358[label="xy260/[]",fontsize=10,color="white",style="solid",shape="box"];642 -> 1358[label="",style="solid", color="burlywood", weight=9]; 13.92/5.39 1358 -> 676[label="",style="solid", color="burlywood", weight=3]; 13.92/5.39 643[label="Nothing == xy260",fontsize=16,color="burlywood",shape="box"];1359[label="xy260/Nothing",fontsize=10,color="white",style="solid",shape="box"];643 -> 1359[label="",style="solid", color="burlywood", weight=9]; 13.92/5.39 1359 -> 677[label="",style="solid", color="burlywood", weight=3]; 13.92/5.39 1360[label="xy260/Just xy2600",fontsize=10,color="white",style="solid",shape="box"];643 -> 1360[label="",style="solid", color="burlywood", weight=9]; 13.92/5.39 1360 -> 678[label="",style="solid", color="burlywood", weight=3]; 13.92/5.39 644[label="Just xy230 == xy260",fontsize=16,color="burlywood",shape="box"];1361[label="xy260/Nothing",fontsize=10,color="white",style="solid",shape="box"];644 -> 1361[label="",style="solid", color="burlywood", weight=9]; 13.92/5.39 1361 -> 679[label="",style="solid", color="burlywood", weight=3]; 13.92/5.39 1362[label="xy260/Just xy2600",fontsize=10,color="white",style="solid",shape="box"];644 -> 1362[label="",style="solid", color="burlywood", weight=9]; 13.92/5.39 1362 -> 680[label="",style="solid", color="burlywood", weight=3]; 13.92/5.39 645[label="Left xy230 == xy260",fontsize=16,color="burlywood",shape="box"];1363[label="xy260/Left xy2600",fontsize=10,color="white",style="solid",shape="box"];645 -> 1363[label="",style="solid", color="burlywood", weight=9]; 13.92/5.39 1363 -> 681[label="",style="solid", color="burlywood", weight=3]; 13.92/5.39 1364[label="xy260/Right xy2600",fontsize=10,color="white",style="solid",shape="box"];645 -> 1364[label="",style="solid", color="burlywood", weight=9]; 13.92/5.39 1364 -> 682[label="",style="solid", color="burlywood", weight=3]; 13.92/5.39 646[label="Right xy230 == xy260",fontsize=16,color="burlywood",shape="box"];1365[label="xy260/Left xy2600",fontsize=10,color="white",style="solid",shape="box"];646 -> 1365[label="",style="solid", color="burlywood", weight=9]; 13.92/5.39 1365 -> 683[label="",style="solid", color="burlywood", weight=3]; 13.92/5.39 1366[label="xy260/Right xy2600",fontsize=10,color="white",style="solid",shape="box"];646 -> 1366[label="",style="solid", color="burlywood", weight=9]; 13.92/5.39 1366 -> 684[label="",style="solid", color="burlywood", weight=3]; 13.92/5.39 647[label="Integer xy230 == xy260",fontsize=16,color="burlywood",shape="box"];1367[label="xy260/Integer xy2600",fontsize=10,color="white",style="solid",shape="box"];647 -> 1367[label="",style="solid", color="burlywood", weight=9]; 13.92/5.39 1367 -> 685[label="",style="solid", color="burlywood", weight=3]; 13.92/5.39 648[label="False == xy260",fontsize=16,color="burlywood",shape="box"];1368[label="xy260/False",fontsize=10,color="white",style="solid",shape="box"];648 -> 1368[label="",style="solid", color="burlywood", weight=9]; 13.92/5.39 1368 -> 686[label="",style="solid", color="burlywood", weight=3]; 13.92/5.39 1369[label="xy260/True",fontsize=10,color="white",style="solid",shape="box"];648 -> 1369[label="",style="solid", color="burlywood", weight=9]; 13.92/5.39 1369 -> 687[label="",style="solid", color="burlywood", weight=3]; 13.92/5.39 649[label="True == xy260",fontsize=16,color="burlywood",shape="box"];1370[label="xy260/False",fontsize=10,color="white",style="solid",shape="box"];649 -> 1370[label="",style="solid", color="burlywood", weight=9]; 13.92/5.39 1370 -> 688[label="",style="solid", color="burlywood", weight=3]; 13.92/5.39 1371[label="xy260/True",fontsize=10,color="white",style="solid",shape="box"];649 -> 1371[label="",style="solid", color="burlywood", weight=9]; 13.92/5.39 1371 -> 689[label="",style="solid", color="burlywood", weight=3]; 13.92/5.39 650[label="xy230 :% xy231 == xy260",fontsize=16,color="burlywood",shape="box"];1372[label="xy260/xy2600 :% xy2601",fontsize=10,color="white",style="solid",shape="box"];650 -> 1372[label="",style="solid", color="burlywood", weight=9]; 13.92/5.39 1372 -> 690[label="",style="solid", color="burlywood", weight=3]; 13.92/5.39 651[label="List.isPrefixOf (xy220 : xy221) (xy2610 : xy2611)",fontsize=16,color="black",shape="box"];651 -> 691[label="",style="solid", color="black", weight=3]; 13.92/5.39 652[label="List.isPrefixOf (xy220 : xy221) []",fontsize=16,color="black",shape="box"];652 -> 692[label="",style="solid", color="black", weight=3]; 13.92/5.39 653[label="True",fontsize=16,color="green",shape="box"];654[label="False",fontsize=16,color="green",shape="box"];655[label="xy52",fontsize=16,color="green",shape="box"];656[label="primEqInt (Pos xy230) xy260",fontsize=16,color="burlywood",shape="box"];1373[label="xy230/Succ xy2300",fontsize=10,color="white",style="solid",shape="box"];656 -> 1373[label="",style="solid", color="burlywood", weight=9]; 13.92/5.39 1373 -> 693[label="",style="solid", color="burlywood", weight=3]; 13.92/5.39 1374[label="xy230/Zero",fontsize=10,color="white",style="solid",shape="box"];656 -> 1374[label="",style="solid", color="burlywood", weight=9]; 13.92/5.39 1374 -> 694[label="",style="solid", color="burlywood", weight=3]; 13.92/5.39 657[label="primEqInt (Neg xy230) xy260",fontsize=16,color="burlywood",shape="box"];1375[label="xy230/Succ xy2300",fontsize=10,color="white",style="solid",shape="box"];657 -> 1375[label="",style="solid", color="burlywood", weight=9]; 13.92/5.39 1375 -> 695[label="",style="solid", color="burlywood", weight=3]; 13.92/5.39 1376[label="xy230/Zero",fontsize=10,color="white",style="solid",shape="box"];657 -> 1376[label="",style="solid", color="burlywood", weight=9]; 13.92/5.39 1376 -> 696[label="",style="solid", color="burlywood", weight=3]; 13.92/5.39 658[label="primEqFloat (Float xy230 xy231) xy260",fontsize=16,color="burlywood",shape="box"];1377[label="xy260/Float xy2600 xy2601",fontsize=10,color="white",style="solid",shape="box"];658 -> 1377[label="",style="solid", color="burlywood", weight=9]; 13.92/5.39 1377 -> 697[label="",style="solid", color="burlywood", weight=3]; 13.92/5.39 659[label="LT == LT",fontsize=16,color="black",shape="box"];659 -> 698[label="",style="solid", color="black", weight=3]; 13.92/5.39 660[label="LT == EQ",fontsize=16,color="black",shape="box"];660 -> 699[label="",style="solid", color="black", weight=3]; 13.92/5.39 661[label="LT == GT",fontsize=16,color="black",shape="box"];661 -> 700[label="",style="solid", color="black", weight=3]; 13.92/5.39 662[label="EQ == LT",fontsize=16,color="black",shape="box"];662 -> 701[label="",style="solid", color="black", weight=3]; 13.92/5.39 663[label="EQ == EQ",fontsize=16,color="black",shape="box"];663 -> 702[label="",style="solid", color="black", weight=3]; 13.92/5.39 664[label="EQ == GT",fontsize=16,color="black",shape="box"];664 -> 703[label="",style="solid", color="black", weight=3]; 13.92/5.39 665[label="GT == LT",fontsize=16,color="black",shape="box"];665 -> 704[label="",style="solid", color="black", weight=3]; 13.92/5.39 666[label="GT == EQ",fontsize=16,color="black",shape="box"];666 -> 705[label="",style="solid", color="black", weight=3]; 13.92/5.39 667[label="GT == GT",fontsize=16,color="black",shape="box"];667 -> 706[label="",style="solid", color="black", weight=3]; 13.92/5.39 668[label="primEqChar (Char xy230) xy260",fontsize=16,color="burlywood",shape="box"];1378[label="xy260/Char xy2600",fontsize=10,color="white",style="solid",shape="box"];668 -> 1378[label="",style="solid", color="burlywood", weight=9]; 13.92/5.39 1378 -> 707[label="",style="solid", color="burlywood", weight=3]; 13.92/5.39 669[label="(xy230,xy231,xy232) == (xy2600,xy2601,xy2602)",fontsize=16,color="black",shape="box"];669 -> 708[label="",style="solid", color="black", weight=3]; 13.92/5.39 670[label="(xy230,xy231) == (xy2600,xy2601)",fontsize=16,color="black",shape="box"];670 -> 709[label="",style="solid", color="black", weight=3]; 13.92/5.39 671[label="() == ()",fontsize=16,color="black",shape="box"];671 -> 710[label="",style="solid", color="black", weight=3]; 13.92/5.39 672[label="primEqDouble (Double xy230 xy231) xy260",fontsize=16,color="burlywood",shape="box"];1379[label="xy260/Double xy2600 xy2601",fontsize=10,color="white",style="solid",shape="box"];672 -> 1379[label="",style="solid", color="burlywood", weight=9]; 13.92/5.39 1379 -> 711[label="",style="solid", color="burlywood", weight=3]; 13.92/5.39 673[label="xy230 : xy231 == xy2600 : xy2601",fontsize=16,color="black",shape="box"];673 -> 712[label="",style="solid", color="black", weight=3]; 13.92/5.39 674[label="xy230 : xy231 == []",fontsize=16,color="black",shape="box"];674 -> 713[label="",style="solid", color="black", weight=3]; 13.92/5.39 675[label="[] == xy2600 : xy2601",fontsize=16,color="black",shape="box"];675 -> 714[label="",style="solid", color="black", weight=3]; 13.92/5.39 676[label="[] == []",fontsize=16,color="black",shape="box"];676 -> 715[label="",style="solid", color="black", weight=3]; 13.92/5.39 677[label="Nothing == Nothing",fontsize=16,color="black",shape="box"];677 -> 716[label="",style="solid", color="black", weight=3]; 13.92/5.39 678[label="Nothing == Just xy2600",fontsize=16,color="black",shape="box"];678 -> 717[label="",style="solid", color="black", weight=3]; 13.92/5.39 679[label="Just xy230 == Nothing",fontsize=16,color="black",shape="box"];679 -> 718[label="",style="solid", color="black", weight=3]; 13.92/5.39 680[label="Just xy230 == Just xy2600",fontsize=16,color="black",shape="box"];680 -> 719[label="",style="solid", color="black", weight=3]; 13.92/5.39 681[label="Left xy230 == Left xy2600",fontsize=16,color="black",shape="box"];681 -> 720[label="",style="solid", color="black", weight=3]; 13.92/5.39 682[label="Left xy230 == Right xy2600",fontsize=16,color="black",shape="box"];682 -> 721[label="",style="solid", color="black", weight=3]; 13.92/5.39 683[label="Right xy230 == Left xy2600",fontsize=16,color="black",shape="box"];683 -> 722[label="",style="solid", color="black", weight=3]; 13.92/5.39 684[label="Right xy230 == Right xy2600",fontsize=16,color="black",shape="box"];684 -> 723[label="",style="solid", color="black", weight=3]; 13.92/5.39 685[label="Integer xy230 == Integer xy2600",fontsize=16,color="black",shape="box"];685 -> 724[label="",style="solid", color="black", weight=3]; 13.92/5.39 686[label="False == False",fontsize=16,color="black",shape="box"];686 -> 725[label="",style="solid", color="black", weight=3]; 13.92/5.39 687[label="False == True",fontsize=16,color="black",shape="box"];687 -> 726[label="",style="solid", color="black", weight=3]; 13.92/5.39 688[label="True == False",fontsize=16,color="black",shape="box"];688 -> 727[label="",style="solid", color="black", weight=3]; 13.92/5.39 689[label="True == True",fontsize=16,color="black",shape="box"];689 -> 728[label="",style="solid", color="black", weight=3]; 13.92/5.39 690[label="xy230 :% xy231 == xy2600 :% xy2601",fontsize=16,color="black",shape="box"];690 -> 729[label="",style="solid", color="black", weight=3]; 13.92/5.39 691 -> 595[label="",style="dashed", color="red", weight=0]; 13.92/5.39 691[label="xy220 == xy2610 && List.isPrefixOf xy221 xy2611",fontsize=16,color="magenta"];691 -> 730[label="",style="dashed", color="magenta", weight=3]; 13.92/5.39 691 -> 731[label="",style="dashed", color="magenta", weight=3]; 13.92/5.39 692[label="False",fontsize=16,color="green",shape="box"];693[label="primEqInt (Pos (Succ xy2300)) xy260",fontsize=16,color="burlywood",shape="box"];1380[label="xy260/Pos xy2600",fontsize=10,color="white",style="solid",shape="box"];693 -> 1380[label="",style="solid", color="burlywood", weight=9]; 13.92/5.39 1380 -> 732[label="",style="solid", color="burlywood", weight=3]; 13.92/5.39 1381[label="xy260/Neg xy2600",fontsize=10,color="white",style="solid",shape="box"];693 -> 1381[label="",style="solid", color="burlywood", weight=9]; 13.92/5.39 1381 -> 733[label="",style="solid", color="burlywood", weight=3]; 13.92/5.39 694[label="primEqInt (Pos Zero) xy260",fontsize=16,color="burlywood",shape="box"];1382[label="xy260/Pos xy2600",fontsize=10,color="white",style="solid",shape="box"];694 -> 1382[label="",style="solid", color="burlywood", weight=9]; 13.92/5.39 1382 -> 734[label="",style="solid", color="burlywood", weight=3]; 13.92/5.39 1383[label="xy260/Neg xy2600",fontsize=10,color="white",style="solid",shape="box"];694 -> 1383[label="",style="solid", color="burlywood", weight=9]; 13.92/5.39 1383 -> 735[label="",style="solid", color="burlywood", weight=3]; 13.92/5.39 695[label="primEqInt (Neg (Succ xy2300)) xy260",fontsize=16,color="burlywood",shape="box"];1384[label="xy260/Pos xy2600",fontsize=10,color="white",style="solid",shape="box"];695 -> 1384[label="",style="solid", color="burlywood", weight=9]; 13.92/5.39 1384 -> 736[label="",style="solid", color="burlywood", weight=3]; 13.92/5.39 1385[label="xy260/Neg xy2600",fontsize=10,color="white",style="solid",shape="box"];695 -> 1385[label="",style="solid", color="burlywood", weight=9]; 13.92/5.39 1385 -> 737[label="",style="solid", color="burlywood", weight=3]; 13.92/5.39 696[label="primEqInt (Neg Zero) xy260",fontsize=16,color="burlywood",shape="box"];1386[label="xy260/Pos xy2600",fontsize=10,color="white",style="solid",shape="box"];696 -> 1386[label="",style="solid", color="burlywood", weight=9]; 13.92/5.39 1386 -> 738[label="",style="solid", color="burlywood", weight=3]; 13.92/5.39 1387[label="xy260/Neg xy2600",fontsize=10,color="white",style="solid",shape="box"];696 -> 1387[label="",style="solid", color="burlywood", weight=9]; 13.92/5.39 1387 -> 739[label="",style="solid", color="burlywood", weight=3]; 13.92/5.39 697[label="primEqFloat (Float xy230 xy231) (Float xy2600 xy2601)",fontsize=16,color="black",shape="box"];697 -> 740[label="",style="solid", color="black", weight=3]; 13.92/5.39 698[label="True",fontsize=16,color="green",shape="box"];699[label="False",fontsize=16,color="green",shape="box"];700[label="False",fontsize=16,color="green",shape="box"];701[label="False",fontsize=16,color="green",shape="box"];702[label="True",fontsize=16,color="green",shape="box"];703[label="False",fontsize=16,color="green",shape="box"];704[label="False",fontsize=16,color="green",shape="box"];705[label="False",fontsize=16,color="green",shape="box"];706[label="True",fontsize=16,color="green",shape="box"];707[label="primEqChar (Char xy230) (Char xy2600)",fontsize=16,color="black",shape="box"];707 -> 741[label="",style="solid", color="black", weight=3]; 13.92/5.39 708 -> 595[label="",style="dashed", color="red", weight=0]; 13.92/5.39 708[label="xy230 == xy2600 && xy231 == xy2601 && xy232 == xy2602",fontsize=16,color="magenta"];708 -> 742[label="",style="dashed", color="magenta", weight=3]; 13.92/5.39 708 -> 743[label="",style="dashed", color="magenta", weight=3]; 13.92/5.39 709 -> 595[label="",style="dashed", color="red", weight=0]; 13.92/5.39 709[label="xy230 == xy2600 && xy231 == xy2601",fontsize=16,color="magenta"];709 -> 744[label="",style="dashed", color="magenta", weight=3]; 13.92/5.39 709 -> 745[label="",style="dashed", color="magenta", weight=3]; 13.92/5.39 710[label="True",fontsize=16,color="green",shape="box"];711[label="primEqDouble (Double xy230 xy231) (Double xy2600 xy2601)",fontsize=16,color="black",shape="box"];711 -> 746[label="",style="solid", color="black", weight=3]; 13.92/5.39 712 -> 595[label="",style="dashed", color="red", weight=0]; 13.92/5.39 712[label="xy230 == xy2600 && xy231 == xy2601",fontsize=16,color="magenta"];712 -> 747[label="",style="dashed", color="magenta", weight=3]; 13.92/5.39 712 -> 748[label="",style="dashed", color="magenta", weight=3]; 13.92/5.39 713[label="False",fontsize=16,color="green",shape="box"];714[label="False",fontsize=16,color="green",shape="box"];715[label="True",fontsize=16,color="green",shape="box"];716[label="True",fontsize=16,color="green",shape="box"];717[label="False",fontsize=16,color="green",shape="box"];718[label="False",fontsize=16,color="green",shape="box"];719[label="xy230 == xy2600",fontsize=16,color="blue",shape="box"];1388[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];719 -> 1388[label="",style="solid", color="blue", weight=9]; 13.92/5.39 1388 -> 749[label="",style="solid", color="blue", weight=3]; 13.92/5.39 1389[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];719 -> 1389[label="",style="solid", color="blue", weight=9]; 13.92/5.39 1389 -> 750[label="",style="solid", color="blue", weight=3]; 13.92/5.39 1390[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];719 -> 1390[label="",style="solid", color="blue", weight=9]; 13.92/5.39 1390 -> 751[label="",style="solid", color="blue", weight=3]; 13.92/5.39 1391[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];719 -> 1391[label="",style="solid", color="blue", weight=9]; 13.92/5.39 1391 -> 752[label="",style="solid", color="blue", weight=3]; 13.92/5.39 1392[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];719 -> 1392[label="",style="solid", color="blue", weight=9]; 13.92/5.39 1392 -> 753[label="",style="solid", color="blue", weight=3]; 13.92/5.39 1393[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];719 -> 1393[label="",style="solid", color="blue", weight=9]; 13.92/5.39 1393 -> 754[label="",style="solid", color="blue", weight=3]; 13.92/5.39 1394[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];719 -> 1394[label="",style="solid", color="blue", weight=9]; 13.92/5.39 1394 -> 755[label="",style="solid", color="blue", weight=3]; 13.92/5.39 1395[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];719 -> 1395[label="",style="solid", color="blue", weight=9]; 13.92/5.39 1395 -> 756[label="",style="solid", color="blue", weight=3]; 13.92/5.39 1396[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];719 -> 1396[label="",style="solid", color="blue", weight=9]; 13.92/5.39 1396 -> 757[label="",style="solid", color="blue", weight=3]; 13.92/5.39 1397[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];719 -> 1397[label="",style="solid", color="blue", weight=9]; 13.92/5.39 1397 -> 758[label="",style="solid", color="blue", weight=3]; 13.92/5.39 1398[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];719 -> 1398[label="",style="solid", color="blue", weight=9]; 13.92/5.39 1398 -> 759[label="",style="solid", color="blue", weight=3]; 13.92/5.39 1399[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];719 -> 1399[label="",style="solid", color="blue", weight=9]; 13.92/5.39 1399 -> 760[label="",style="solid", color="blue", weight=3]; 13.92/5.39 1400[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];719 -> 1400[label="",style="solid", color="blue", weight=9]; 13.92/5.39 1400 -> 761[label="",style="solid", color="blue", weight=3]; 13.92/5.39 1401[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];719 -> 1401[label="",style="solid", color="blue", weight=9]; 13.92/5.39 1401 -> 762[label="",style="solid", color="blue", weight=3]; 13.92/5.39 720[label="xy230 == xy2600",fontsize=16,color="blue",shape="box"];1402[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];720 -> 1402[label="",style="solid", color="blue", weight=9]; 13.92/5.39 1402 -> 763[label="",style="solid", color="blue", weight=3]; 13.92/5.39 1403[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];720 -> 1403[label="",style="solid", color="blue", weight=9]; 13.92/5.39 1403 -> 764[label="",style="solid", color="blue", weight=3]; 13.92/5.39 1404[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];720 -> 1404[label="",style="solid", color="blue", weight=9]; 13.92/5.39 1404 -> 765[label="",style="solid", color="blue", weight=3]; 13.92/5.39 1405[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];720 -> 1405[label="",style="solid", color="blue", weight=9]; 13.92/5.39 1405 -> 766[label="",style="solid", color="blue", weight=3]; 13.92/5.39 1406[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];720 -> 1406[label="",style="solid", color="blue", weight=9]; 13.92/5.39 1406 -> 767[label="",style="solid", color="blue", weight=3]; 13.92/5.39 1407[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];720 -> 1407[label="",style="solid", color="blue", weight=9]; 13.92/5.39 1407 -> 768[label="",style="solid", color="blue", weight=3]; 13.92/5.39 1408[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];720 -> 1408[label="",style="solid", color="blue", weight=9]; 13.92/5.39 1408 -> 769[label="",style="solid", color="blue", weight=3]; 13.92/5.39 1409[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];720 -> 1409[label="",style="solid", color="blue", weight=9]; 13.92/5.39 1409 -> 770[label="",style="solid", color="blue", weight=3]; 13.92/5.39 1410[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];720 -> 1410[label="",style="solid", color="blue", weight=9]; 13.92/5.39 1410 -> 771[label="",style="solid", color="blue", weight=3]; 13.92/5.39 1411[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];720 -> 1411[label="",style="solid", color="blue", weight=9]; 13.92/5.39 1411 -> 772[label="",style="solid", color="blue", weight=3]; 13.92/5.39 1412[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];720 -> 1412[label="",style="solid", color="blue", weight=9]; 13.92/5.39 1412 -> 773[label="",style="solid", color="blue", weight=3]; 13.92/5.39 1413[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];720 -> 1413[label="",style="solid", color="blue", weight=9]; 13.92/5.39 1413 -> 774[label="",style="solid", color="blue", weight=3]; 13.92/5.39 1414[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];720 -> 1414[label="",style="solid", color="blue", weight=9]; 13.92/5.39 1414 -> 775[label="",style="solid", color="blue", weight=3]; 13.92/5.39 1415[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];720 -> 1415[label="",style="solid", color="blue", weight=9]; 13.92/5.39 1415 -> 776[label="",style="solid", color="blue", weight=3]; 13.92/5.39 721[label="False",fontsize=16,color="green",shape="box"];722[label="False",fontsize=16,color="green",shape="box"];723[label="xy230 == xy2600",fontsize=16,color="blue",shape="box"];1416[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];723 -> 1416[label="",style="solid", color="blue", weight=9]; 13.92/5.39 1416 -> 777[label="",style="solid", color="blue", weight=3]; 13.92/5.39 1417[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];723 -> 1417[label="",style="solid", color="blue", weight=9]; 13.92/5.39 1417 -> 778[label="",style="solid", color="blue", weight=3]; 13.92/5.39 1418[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];723 -> 1418[label="",style="solid", color="blue", weight=9]; 13.92/5.39 1418 -> 779[label="",style="solid", color="blue", weight=3]; 13.92/5.39 1419[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];723 -> 1419[label="",style="solid", color="blue", weight=9]; 13.92/5.39 1419 -> 780[label="",style="solid", color="blue", weight=3]; 13.92/5.39 1420[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];723 -> 1420[label="",style="solid", color="blue", weight=9]; 13.92/5.39 1420 -> 781[label="",style="solid", color="blue", weight=3]; 13.92/5.39 1421[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];723 -> 1421[label="",style="solid", color="blue", weight=9]; 13.92/5.39 1421 -> 782[label="",style="solid", color="blue", weight=3]; 13.92/5.39 1422[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];723 -> 1422[label="",style="solid", color="blue", weight=9]; 13.92/5.39 1422 -> 783[label="",style="solid", color="blue", weight=3]; 13.92/5.39 1423[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];723 -> 1423[label="",style="solid", color="blue", weight=9]; 13.92/5.39 1423 -> 784[label="",style="solid", color="blue", weight=3]; 13.92/5.39 1424[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];723 -> 1424[label="",style="solid", color="blue", weight=9]; 13.92/5.39 1424 -> 785[label="",style="solid", color="blue", weight=3]; 13.92/5.39 1425[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];723 -> 1425[label="",style="solid", color="blue", weight=9]; 13.92/5.39 1425 -> 786[label="",style="solid", color="blue", weight=3]; 13.92/5.39 1426[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];723 -> 1426[label="",style="solid", color="blue", weight=9]; 13.92/5.39 1426 -> 787[label="",style="solid", color="blue", weight=3]; 13.92/5.39 1427[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];723 -> 1427[label="",style="solid", color="blue", weight=9]; 13.92/5.39 1427 -> 788[label="",style="solid", color="blue", weight=3]; 13.92/5.39 1428[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];723 -> 1428[label="",style="solid", color="blue", weight=9]; 13.92/5.39 1428 -> 789[label="",style="solid", color="blue", weight=3]; 13.92/5.39 1429[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];723 -> 1429[label="",style="solid", color="blue", weight=9]; 13.92/5.39 1429 -> 790[label="",style="solid", color="blue", weight=3]; 13.92/5.39 724 -> 631[label="",style="dashed", color="red", weight=0]; 13.92/5.39 724[label="primEqInt xy230 xy2600",fontsize=16,color="magenta"];724 -> 791[label="",style="dashed", color="magenta", weight=3]; 13.92/5.39 724 -> 792[label="",style="dashed", color="magenta", weight=3]; 13.92/5.39 725[label="True",fontsize=16,color="green",shape="box"];726[label="False",fontsize=16,color="green",shape="box"];727[label="False",fontsize=16,color="green",shape="box"];728[label="True",fontsize=16,color="green",shape="box"];729 -> 595[label="",style="dashed", color="red", weight=0]; 13.92/5.39 729[label="xy230 == xy2600 && xy231 == xy2601",fontsize=16,color="magenta"];729 -> 793[label="",style="dashed", color="magenta", weight=3]; 13.92/5.39 729 -> 794[label="",style="dashed", color="magenta", weight=3]; 13.92/5.39 730[label="xy220 == xy2610",fontsize=16,color="blue",shape="box"];1430[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];730 -> 1430[label="",style="solid", color="blue", weight=9]; 13.92/5.39 1430 -> 795[label="",style="solid", color="blue", weight=3]; 13.92/5.39 1431[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];730 -> 1431[label="",style="solid", color="blue", weight=9]; 13.92/5.39 1431 -> 796[label="",style="solid", color="blue", weight=3]; 13.92/5.39 1432[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];730 -> 1432[label="",style="solid", color="blue", weight=9]; 13.92/5.39 1432 -> 797[label="",style="solid", color="blue", weight=3]; 13.92/5.39 1433[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];730 -> 1433[label="",style="solid", color="blue", weight=9]; 13.92/5.39 1433 -> 798[label="",style="solid", color="blue", weight=3]; 13.92/5.39 1434[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];730 -> 1434[label="",style="solid", color="blue", weight=9]; 13.92/5.39 1434 -> 799[label="",style="solid", color="blue", weight=3]; 13.92/5.39 1435[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];730 -> 1435[label="",style="solid", color="blue", weight=9]; 13.92/5.39 1435 -> 800[label="",style="solid", color="blue", weight=3]; 13.92/5.39 1436[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];730 -> 1436[label="",style="solid", color="blue", weight=9]; 13.92/5.39 1436 -> 801[label="",style="solid", color="blue", weight=3]; 13.92/5.39 1437[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];730 -> 1437[label="",style="solid", color="blue", weight=9]; 13.92/5.39 1437 -> 802[label="",style="solid", color="blue", weight=3]; 13.92/5.39 1438[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];730 -> 1438[label="",style="solid", color="blue", weight=9]; 13.92/5.39 1438 -> 803[label="",style="solid", color="blue", weight=3]; 13.92/5.39 1439[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];730 -> 1439[label="",style="solid", color="blue", weight=9]; 13.92/5.39 1439 -> 804[label="",style="solid", color="blue", weight=3]; 13.92/5.39 1440[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];730 -> 1440[label="",style="solid", color="blue", weight=9]; 13.92/5.39 1440 -> 805[label="",style="solid", color="blue", weight=3]; 13.92/5.39 1441[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];730 -> 1441[label="",style="solid", color="blue", weight=9]; 13.92/5.39 1441 -> 806[label="",style="solid", color="blue", weight=3]; 13.92/5.39 1442[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];730 -> 1442[label="",style="solid", color="blue", weight=9]; 13.92/5.39 1442 -> 807[label="",style="solid", color="blue", weight=3]; 13.92/5.39 1443[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];730 -> 1443[label="",style="solid", color="blue", weight=9]; 13.92/5.39 1443 -> 808[label="",style="solid", color="blue", weight=3]; 13.92/5.39 731 -> 597[label="",style="dashed", color="red", weight=0]; 13.92/5.39 731[label="List.isPrefixOf xy221 xy2611",fontsize=16,color="magenta"];731 -> 809[label="",style="dashed", color="magenta", weight=3]; 13.92/5.39 731 -> 810[label="",style="dashed", color="magenta", weight=3]; 13.92/5.39 732[label="primEqInt (Pos (Succ xy2300)) (Pos xy2600)",fontsize=16,color="burlywood",shape="box"];1444[label="xy2600/Succ xy26000",fontsize=10,color="white",style="solid",shape="box"];732 -> 1444[label="",style="solid", color="burlywood", weight=9]; 13.92/5.39 1444 -> 811[label="",style="solid", color="burlywood", weight=3]; 13.92/5.39 1445[label="xy2600/Zero",fontsize=10,color="white",style="solid",shape="box"];732 -> 1445[label="",style="solid", color="burlywood", weight=9]; 13.92/5.39 1445 -> 812[label="",style="solid", color="burlywood", weight=3]; 13.92/5.39 733[label="primEqInt (Pos (Succ xy2300)) (Neg xy2600)",fontsize=16,color="black",shape="box"];733 -> 813[label="",style="solid", color="black", weight=3]; 13.92/5.39 734[label="primEqInt (Pos Zero) (Pos xy2600)",fontsize=16,color="burlywood",shape="box"];1446[label="xy2600/Succ xy26000",fontsize=10,color="white",style="solid",shape="box"];734 -> 1446[label="",style="solid", color="burlywood", weight=9]; 13.92/5.39 1446 -> 814[label="",style="solid", color="burlywood", weight=3]; 13.92/5.39 1447[label="xy2600/Zero",fontsize=10,color="white",style="solid",shape="box"];734 -> 1447[label="",style="solid", color="burlywood", weight=9]; 13.92/5.39 1447 -> 815[label="",style="solid", color="burlywood", weight=3]; 13.92/5.39 735[label="primEqInt (Pos Zero) (Neg xy2600)",fontsize=16,color="burlywood",shape="box"];1448[label="xy2600/Succ xy26000",fontsize=10,color="white",style="solid",shape="box"];735 -> 1448[label="",style="solid", color="burlywood", weight=9]; 13.92/5.39 1448 -> 816[label="",style="solid", color="burlywood", weight=3]; 13.92/5.39 1449[label="xy2600/Zero",fontsize=10,color="white",style="solid",shape="box"];735 -> 1449[label="",style="solid", color="burlywood", weight=9]; 13.92/5.39 1449 -> 817[label="",style="solid", color="burlywood", weight=3]; 13.92/5.39 736[label="primEqInt (Neg (Succ xy2300)) (Pos xy2600)",fontsize=16,color="black",shape="box"];736 -> 818[label="",style="solid", color="black", weight=3]; 13.92/5.39 737[label="primEqInt (Neg (Succ xy2300)) (Neg xy2600)",fontsize=16,color="burlywood",shape="box"];1450[label="xy2600/Succ xy26000",fontsize=10,color="white",style="solid",shape="box"];737 -> 1450[label="",style="solid", color="burlywood", weight=9]; 13.92/5.39 1450 -> 819[label="",style="solid", color="burlywood", weight=3]; 13.92/5.39 1451[label="xy2600/Zero",fontsize=10,color="white",style="solid",shape="box"];737 -> 1451[label="",style="solid", color="burlywood", weight=9]; 13.92/5.39 1451 -> 820[label="",style="solid", color="burlywood", weight=3]; 13.92/5.39 738[label="primEqInt (Neg Zero) (Pos xy2600)",fontsize=16,color="burlywood",shape="box"];1452[label="xy2600/Succ xy26000",fontsize=10,color="white",style="solid",shape="box"];738 -> 1452[label="",style="solid", color="burlywood", weight=9]; 13.92/5.39 1452 -> 821[label="",style="solid", color="burlywood", weight=3]; 13.92/5.39 1453[label="xy2600/Zero",fontsize=10,color="white",style="solid",shape="box"];738 -> 1453[label="",style="solid", color="burlywood", weight=9]; 13.92/5.39 1453 -> 822[label="",style="solid", color="burlywood", weight=3]; 13.92/5.39 739[label="primEqInt (Neg Zero) (Neg xy2600)",fontsize=16,color="burlywood",shape="box"];1454[label="xy2600/Succ xy26000",fontsize=10,color="white",style="solid",shape="box"];739 -> 1454[label="",style="solid", color="burlywood", weight=9]; 13.92/5.39 1454 -> 823[label="",style="solid", color="burlywood", weight=3]; 13.92/5.39 1455[label="xy2600/Zero",fontsize=10,color="white",style="solid",shape="box"];739 -> 1455[label="",style="solid", color="burlywood", weight=9]; 13.92/5.39 1455 -> 824[label="",style="solid", color="burlywood", weight=3]; 13.92/5.39 740 -> 613[label="",style="dashed", color="red", weight=0]; 13.92/5.39 740[label="xy230 * xy2601 == xy231 * xy2600",fontsize=16,color="magenta"];740 -> 825[label="",style="dashed", color="magenta", weight=3]; 13.92/5.39 740 -> 826[label="",style="dashed", color="magenta", weight=3]; 13.92/5.39 741[label="primEqNat xy230 xy2600",fontsize=16,color="burlywood",shape="triangle"];1456[label="xy230/Succ xy2300",fontsize=10,color="white",style="solid",shape="box"];741 -> 1456[label="",style="solid", color="burlywood", weight=9]; 13.92/5.39 1456 -> 827[label="",style="solid", color="burlywood", weight=3]; 13.92/5.39 1457[label="xy230/Zero",fontsize=10,color="white",style="solid",shape="box"];741 -> 1457[label="",style="solid", color="burlywood", weight=9]; 13.92/5.39 1457 -> 828[label="",style="solid", color="burlywood", weight=3]; 13.92/5.39 742[label="xy230 == xy2600",fontsize=16,color="blue",shape="box"];1458[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];742 -> 1458[label="",style="solid", color="blue", weight=9]; 13.92/5.39 1458 -> 829[label="",style="solid", color="blue", weight=3]; 13.92/5.39 1459[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];742 -> 1459[label="",style="solid", color="blue", weight=9]; 13.92/5.39 1459 -> 830[label="",style="solid", color="blue", weight=3]; 13.92/5.39 1460[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];742 -> 1460[label="",style="solid", color="blue", weight=9]; 13.92/5.39 1460 -> 831[label="",style="solid", color="blue", weight=3]; 13.92/5.39 1461[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];742 -> 1461[label="",style="solid", color="blue", weight=9]; 13.92/5.39 1461 -> 832[label="",style="solid", color="blue", weight=3]; 13.92/5.39 1462[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];742 -> 1462[label="",style="solid", color="blue", weight=9]; 13.92/5.39 1462 -> 833[label="",style="solid", color="blue", weight=3]; 13.92/5.39 1463[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];742 -> 1463[label="",style="solid", color="blue", weight=9]; 13.92/5.39 1463 -> 834[label="",style="solid", color="blue", weight=3]; 13.92/5.39 1464[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];742 -> 1464[label="",style="solid", color="blue", weight=9]; 13.92/5.39 1464 -> 835[label="",style="solid", color="blue", weight=3]; 13.92/5.39 1465[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];742 -> 1465[label="",style="solid", color="blue", weight=9]; 13.92/5.39 1465 -> 836[label="",style="solid", color="blue", weight=3]; 13.92/5.39 1466[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];742 -> 1466[label="",style="solid", color="blue", weight=9]; 13.92/5.39 1466 -> 837[label="",style="solid", color="blue", weight=3]; 13.92/5.39 1467[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];742 -> 1467[label="",style="solid", color="blue", weight=9]; 13.92/5.39 1467 -> 838[label="",style="solid", color="blue", weight=3]; 13.92/5.39 1468[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];742 -> 1468[label="",style="solid", color="blue", weight=9]; 13.92/5.39 1468 -> 839[label="",style="solid", color="blue", weight=3]; 13.92/5.39 1469[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];742 -> 1469[label="",style="solid", color="blue", weight=9]; 13.92/5.39 1469 -> 840[label="",style="solid", color="blue", weight=3]; 13.92/5.39 1470[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];742 -> 1470[label="",style="solid", color="blue", weight=9]; 13.92/5.39 1470 -> 841[label="",style="solid", color="blue", weight=3]; 13.92/5.39 1471[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];742 -> 1471[label="",style="solid", color="blue", weight=9]; 13.92/5.39 1471 -> 842[label="",style="solid", color="blue", weight=3]; 13.92/5.39 743 -> 595[label="",style="dashed", color="red", weight=0]; 13.92/5.39 743[label="xy231 == xy2601 && xy232 == xy2602",fontsize=16,color="magenta"];743 -> 843[label="",style="dashed", color="magenta", weight=3]; 13.92/5.39 743 -> 844[label="",style="dashed", color="magenta", weight=3]; 13.92/5.39 744[label="xy230 == xy2600",fontsize=16,color="blue",shape="box"];1472[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];744 -> 1472[label="",style="solid", color="blue", weight=9]; 13.92/5.39 1472 -> 845[label="",style="solid", color="blue", weight=3]; 13.92/5.39 1473[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];744 -> 1473[label="",style="solid", color="blue", weight=9]; 13.92/5.39 1473 -> 846[label="",style="solid", color="blue", weight=3]; 13.92/5.39 1474[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];744 -> 1474[label="",style="solid", color="blue", weight=9]; 13.92/5.39 1474 -> 847[label="",style="solid", color="blue", weight=3]; 13.92/5.39 1475[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];744 -> 1475[label="",style="solid", color="blue", weight=9]; 13.92/5.39 1475 -> 848[label="",style="solid", color="blue", weight=3]; 13.92/5.39 1476[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];744 -> 1476[label="",style="solid", color="blue", weight=9]; 13.92/5.39 1476 -> 849[label="",style="solid", color="blue", weight=3]; 13.92/5.39 1477[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];744 -> 1477[label="",style="solid", color="blue", weight=9]; 13.92/5.39 1477 -> 850[label="",style="solid", color="blue", weight=3]; 13.92/5.39 1478[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];744 -> 1478[label="",style="solid", color="blue", weight=9]; 13.92/5.39 1478 -> 851[label="",style="solid", color="blue", weight=3]; 13.92/5.39 1479[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];744 -> 1479[label="",style="solid", color="blue", weight=9]; 13.92/5.39 1479 -> 852[label="",style="solid", color="blue", weight=3]; 13.92/5.39 1480[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];744 -> 1480[label="",style="solid", color="blue", weight=9]; 13.92/5.39 1480 -> 853[label="",style="solid", color="blue", weight=3]; 13.92/5.39 1481[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];744 -> 1481[label="",style="solid", color="blue", weight=9]; 13.92/5.39 1481 -> 854[label="",style="solid", color="blue", weight=3]; 13.92/5.39 1482[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];744 -> 1482[label="",style="solid", color="blue", weight=9]; 13.92/5.39 1482 -> 855[label="",style="solid", color="blue", weight=3]; 13.92/5.39 1483[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];744 -> 1483[label="",style="solid", color="blue", weight=9]; 13.92/5.39 1483 -> 856[label="",style="solid", color="blue", weight=3]; 13.92/5.39 1484[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];744 -> 1484[label="",style="solid", color="blue", weight=9]; 13.92/5.39 1484 -> 857[label="",style="solid", color="blue", weight=3]; 13.92/5.39 1485[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];744 -> 1485[label="",style="solid", color="blue", weight=9]; 13.92/5.39 1485 -> 858[label="",style="solid", color="blue", weight=3]; 13.92/5.39 745[label="xy231 == xy2601",fontsize=16,color="blue",shape="box"];1486[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];745 -> 1486[label="",style="solid", color="blue", weight=9]; 13.92/5.39 1486 -> 859[label="",style="solid", color="blue", weight=3]; 13.92/5.39 1487[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];745 -> 1487[label="",style="solid", color="blue", weight=9]; 13.92/5.39 1487 -> 860[label="",style="solid", color="blue", weight=3]; 13.92/5.39 1488[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];745 -> 1488[label="",style="solid", color="blue", weight=9]; 13.92/5.39 1488 -> 861[label="",style="solid", color="blue", weight=3]; 13.92/5.39 1489[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];745 -> 1489[label="",style="solid", color="blue", weight=9]; 13.92/5.39 1489 -> 862[label="",style="solid", color="blue", weight=3]; 13.92/5.39 1490[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];745 -> 1490[label="",style="solid", color="blue", weight=9]; 13.92/5.39 1490 -> 863[label="",style="solid", color="blue", weight=3]; 13.92/5.39 1491[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];745 -> 1491[label="",style="solid", color="blue", weight=9]; 13.92/5.39 1491 -> 864[label="",style="solid", color="blue", weight=3]; 13.92/5.39 1492[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];745 -> 1492[label="",style="solid", color="blue", weight=9]; 13.92/5.39 1492 -> 865[label="",style="solid", color="blue", weight=3]; 13.92/5.39 1493[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];745 -> 1493[label="",style="solid", color="blue", weight=9]; 13.92/5.39 1493 -> 866[label="",style="solid", color="blue", weight=3]; 13.92/5.39 1494[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];745 -> 1494[label="",style="solid", color="blue", weight=9]; 13.92/5.39 1494 -> 867[label="",style="solid", color="blue", weight=3]; 13.92/5.39 1495[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];745 -> 1495[label="",style="solid", color="blue", weight=9]; 13.92/5.39 1495 -> 868[label="",style="solid", color="blue", weight=3]; 13.92/5.39 1496[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];745 -> 1496[label="",style="solid", color="blue", weight=9]; 13.92/5.39 1496 -> 869[label="",style="solid", color="blue", weight=3]; 13.92/5.39 1497[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];745 -> 1497[label="",style="solid", color="blue", weight=9]; 13.92/5.39 1497 -> 870[label="",style="solid", color="blue", weight=3]; 13.92/5.39 1498[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];745 -> 1498[label="",style="solid", color="blue", weight=9]; 13.92/5.39 1498 -> 871[label="",style="solid", color="blue", weight=3]; 13.92/5.39 1499[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];745 -> 1499[label="",style="solid", color="blue", weight=9]; 13.92/5.39 1499 -> 872[label="",style="solid", color="blue", weight=3]; 13.92/5.39 746 -> 613[label="",style="dashed", color="red", weight=0]; 13.92/5.39 746[label="xy230 * xy2601 == xy231 * xy2600",fontsize=16,color="magenta"];746 -> 873[label="",style="dashed", color="magenta", weight=3]; 13.92/5.39 746 -> 874[label="",style="dashed", color="magenta", weight=3]; 13.92/5.39 747[label="xy230 == xy2600",fontsize=16,color="blue",shape="box"];1500[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];747 -> 1500[label="",style="solid", color="blue", weight=9]; 13.92/5.39 1500 -> 875[label="",style="solid", color="blue", weight=3]; 13.92/5.39 1501[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];747 -> 1501[label="",style="solid", color="blue", weight=9]; 13.92/5.39 1501 -> 876[label="",style="solid", color="blue", weight=3]; 13.92/5.39 1502[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];747 -> 1502[label="",style="solid", color="blue", weight=9]; 13.92/5.39 1502 -> 877[label="",style="solid", color="blue", weight=3]; 13.92/5.39 1503[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];747 -> 1503[label="",style="solid", color="blue", weight=9]; 13.92/5.39 1503 -> 878[label="",style="solid", color="blue", weight=3]; 13.92/5.39 1504[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];747 -> 1504[label="",style="solid", color="blue", weight=9]; 13.92/5.39 1504 -> 879[label="",style="solid", color="blue", weight=3]; 13.92/5.39 1505[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];747 -> 1505[label="",style="solid", color="blue", weight=9]; 13.92/5.39 1505 -> 880[label="",style="solid", color="blue", weight=3]; 13.92/5.39 1506[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];747 -> 1506[label="",style="solid", color="blue", weight=9]; 13.92/5.39 1506 -> 881[label="",style="solid", color="blue", weight=3]; 13.92/5.39 1507[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];747 -> 1507[label="",style="solid", color="blue", weight=9]; 13.92/5.39 1507 -> 882[label="",style="solid", color="blue", weight=3]; 13.92/5.39 1508[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];747 -> 1508[label="",style="solid", color="blue", weight=9]; 13.92/5.39 1508 -> 883[label="",style="solid", color="blue", weight=3]; 13.92/5.39 1509[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];747 -> 1509[label="",style="solid", color="blue", weight=9]; 13.92/5.39 1509 -> 884[label="",style="solid", color="blue", weight=3]; 13.92/5.39 1510[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];747 -> 1510[label="",style="solid", color="blue", weight=9]; 13.92/5.39 1510 -> 885[label="",style="solid", color="blue", weight=3]; 13.92/5.39 1511[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];747 -> 1511[label="",style="solid", color="blue", weight=9]; 13.92/5.39 1511 -> 886[label="",style="solid", color="blue", weight=3]; 13.92/5.39 1512[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];747 -> 1512[label="",style="solid", color="blue", weight=9]; 13.92/5.39 1512 -> 887[label="",style="solid", color="blue", weight=3]; 13.92/5.39 1513[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];747 -> 1513[label="",style="solid", color="blue", weight=9]; 13.92/5.39 1513 -> 888[label="",style="solid", color="blue", weight=3]; 13.92/5.39 748 -> 621[label="",style="dashed", color="red", weight=0]; 13.92/5.39 748[label="xy231 == xy2601",fontsize=16,color="magenta"];748 -> 889[label="",style="dashed", color="magenta", weight=3]; 13.92/5.39 748 -> 890[label="",style="dashed", color="magenta", weight=3]; 13.92/5.39 749 -> 613[label="",style="dashed", color="red", weight=0]; 13.92/5.39 749[label="xy230 == xy2600",fontsize=16,color="magenta"];749 -> 891[label="",style="dashed", color="magenta", weight=3]; 13.92/5.39 749 -> 892[label="",style="dashed", color="magenta", weight=3]; 13.92/5.39 750 -> 614[label="",style="dashed", color="red", weight=0]; 13.92/5.39 750[label="xy230 == xy2600",fontsize=16,color="magenta"];750 -> 893[label="",style="dashed", color="magenta", weight=3]; 13.92/5.39 750 -> 894[label="",style="dashed", color="magenta", weight=3]; 13.92/5.39 751 -> 615[label="",style="dashed", color="red", weight=0]; 13.92/5.39 751[label="xy230 == xy2600",fontsize=16,color="magenta"];751 -> 895[label="",style="dashed", color="magenta", weight=3]; 13.92/5.39 751 -> 896[label="",style="dashed", color="magenta", weight=3]; 13.92/5.39 752 -> 616[label="",style="dashed", color="red", weight=0]; 13.92/5.39 752[label="xy230 == xy2600",fontsize=16,color="magenta"];752 -> 897[label="",style="dashed", color="magenta", weight=3]; 13.92/5.39 752 -> 898[label="",style="dashed", color="magenta", weight=3]; 13.92/5.39 753 -> 617[label="",style="dashed", color="red", weight=0]; 13.92/5.39 753[label="xy230 == xy2600",fontsize=16,color="magenta"];753 -> 899[label="",style="dashed", color="magenta", weight=3]; 13.92/5.39 753 -> 900[label="",style="dashed", color="magenta", weight=3]; 13.92/5.39 754 -> 618[label="",style="dashed", color="red", weight=0]; 13.92/5.39 754[label="xy230 == xy2600",fontsize=16,color="magenta"];754 -> 901[label="",style="dashed", color="magenta", weight=3]; 13.92/5.39 754 -> 902[label="",style="dashed", color="magenta", weight=3]; 13.92/5.39 755 -> 619[label="",style="dashed", color="red", weight=0]; 13.92/5.39 755[label="xy230 == xy2600",fontsize=16,color="magenta"];755 -> 903[label="",style="dashed", color="magenta", weight=3]; 13.92/5.39 755 -> 904[label="",style="dashed", color="magenta", weight=3]; 13.92/5.39 756 -> 620[label="",style="dashed", color="red", weight=0]; 13.92/5.39 756[label="xy230 == xy2600",fontsize=16,color="magenta"];756 -> 905[label="",style="dashed", color="magenta", weight=3]; 13.92/5.39 756 -> 906[label="",style="dashed", color="magenta", weight=3]; 13.92/5.39 757 -> 621[label="",style="dashed", color="red", weight=0]; 13.92/5.39 757[label="xy230 == xy2600",fontsize=16,color="magenta"];757 -> 907[label="",style="dashed", color="magenta", weight=3]; 13.92/5.39 757 -> 908[label="",style="dashed", color="magenta", weight=3]; 13.92/5.39 758 -> 622[label="",style="dashed", color="red", weight=0]; 13.92/5.39 758[label="xy230 == xy2600",fontsize=16,color="magenta"];758 -> 909[label="",style="dashed", color="magenta", weight=3]; 13.92/5.39 758 -> 910[label="",style="dashed", color="magenta", weight=3]; 13.92/5.39 759 -> 623[label="",style="dashed", color="red", weight=0]; 13.92/5.39 759[label="xy230 == xy2600",fontsize=16,color="magenta"];759 -> 911[label="",style="dashed", color="magenta", weight=3]; 13.92/5.39 759 -> 912[label="",style="dashed", color="magenta", weight=3]; 13.92/5.39 760 -> 624[label="",style="dashed", color="red", weight=0]; 13.92/5.39 760[label="xy230 == xy2600",fontsize=16,color="magenta"];760 -> 913[label="",style="dashed", color="magenta", weight=3]; 13.92/5.39 760 -> 914[label="",style="dashed", color="magenta", weight=3]; 13.92/5.39 761 -> 625[label="",style="dashed", color="red", weight=0]; 13.92/5.39 761[label="xy230 == xy2600",fontsize=16,color="magenta"];761 -> 915[label="",style="dashed", color="magenta", weight=3]; 13.92/5.39 761 -> 916[label="",style="dashed", color="magenta", weight=3]; 13.92/5.39 762 -> 626[label="",style="dashed", color="red", weight=0]; 13.92/5.39 762[label="xy230 == xy2600",fontsize=16,color="magenta"];762 -> 917[label="",style="dashed", color="magenta", weight=3]; 13.92/5.39 762 -> 918[label="",style="dashed", color="magenta", weight=3]; 13.92/5.39 763 -> 613[label="",style="dashed", color="red", weight=0]; 13.92/5.39 763[label="xy230 == xy2600",fontsize=16,color="magenta"];763 -> 919[label="",style="dashed", color="magenta", weight=3]; 13.92/5.39 763 -> 920[label="",style="dashed", color="magenta", weight=3]; 13.92/5.39 764 -> 614[label="",style="dashed", color="red", weight=0]; 13.92/5.39 764[label="xy230 == xy2600",fontsize=16,color="magenta"];764 -> 921[label="",style="dashed", color="magenta", weight=3]; 13.92/5.39 764 -> 922[label="",style="dashed", color="magenta", weight=3]; 13.92/5.39 765 -> 615[label="",style="dashed", color="red", weight=0]; 13.92/5.39 765[label="xy230 == xy2600",fontsize=16,color="magenta"];765 -> 923[label="",style="dashed", color="magenta", weight=3]; 13.92/5.39 765 -> 924[label="",style="dashed", color="magenta", weight=3]; 13.92/5.39 766 -> 616[label="",style="dashed", color="red", weight=0]; 13.92/5.39 766[label="xy230 == xy2600",fontsize=16,color="magenta"];766 -> 925[label="",style="dashed", color="magenta", weight=3]; 13.92/5.39 766 -> 926[label="",style="dashed", color="magenta", weight=3]; 13.92/5.39 767 -> 617[label="",style="dashed", color="red", weight=0]; 13.92/5.39 767[label="xy230 == xy2600",fontsize=16,color="magenta"];767 -> 927[label="",style="dashed", color="magenta", weight=3]; 13.92/5.39 767 -> 928[label="",style="dashed", color="magenta", weight=3]; 13.92/5.39 768 -> 618[label="",style="dashed", color="red", weight=0]; 13.92/5.39 768[label="xy230 == xy2600",fontsize=16,color="magenta"];768 -> 929[label="",style="dashed", color="magenta", weight=3]; 13.92/5.39 768 -> 930[label="",style="dashed", color="magenta", weight=3]; 13.92/5.39 769 -> 619[label="",style="dashed", color="red", weight=0]; 13.92/5.39 769[label="xy230 == xy2600",fontsize=16,color="magenta"];769 -> 931[label="",style="dashed", color="magenta", weight=3]; 13.92/5.39 769 -> 932[label="",style="dashed", color="magenta", weight=3]; 13.92/5.39 770 -> 620[label="",style="dashed", color="red", weight=0]; 13.92/5.39 770[label="xy230 == xy2600",fontsize=16,color="magenta"];770 -> 933[label="",style="dashed", color="magenta", weight=3]; 13.92/5.39 770 -> 934[label="",style="dashed", color="magenta", weight=3]; 13.92/5.39 771 -> 621[label="",style="dashed", color="red", weight=0]; 13.92/5.39 771[label="xy230 == xy2600",fontsize=16,color="magenta"];771 -> 935[label="",style="dashed", color="magenta", weight=3]; 13.92/5.39 771 -> 936[label="",style="dashed", color="magenta", weight=3]; 13.92/5.39 772 -> 622[label="",style="dashed", color="red", weight=0]; 13.92/5.39 772[label="xy230 == xy2600",fontsize=16,color="magenta"];772 -> 937[label="",style="dashed", color="magenta", weight=3]; 13.92/5.39 772 -> 938[label="",style="dashed", color="magenta", weight=3]; 13.92/5.39 773 -> 623[label="",style="dashed", color="red", weight=0]; 13.92/5.39 773[label="xy230 == xy2600",fontsize=16,color="magenta"];773 -> 939[label="",style="dashed", color="magenta", weight=3]; 13.92/5.39 773 -> 940[label="",style="dashed", color="magenta", weight=3]; 13.92/5.39 774 -> 624[label="",style="dashed", color="red", weight=0]; 13.92/5.39 774[label="xy230 == xy2600",fontsize=16,color="magenta"];774 -> 941[label="",style="dashed", color="magenta", weight=3]; 13.92/5.39 774 -> 942[label="",style="dashed", color="magenta", weight=3]; 13.92/5.39 775 -> 625[label="",style="dashed", color="red", weight=0]; 13.92/5.39 775[label="xy230 == xy2600",fontsize=16,color="magenta"];775 -> 943[label="",style="dashed", color="magenta", weight=3]; 13.92/5.39 775 -> 944[label="",style="dashed", color="magenta", weight=3]; 13.92/5.39 776 -> 626[label="",style="dashed", color="red", weight=0]; 13.92/5.39 776[label="xy230 == xy2600",fontsize=16,color="magenta"];776 -> 945[label="",style="dashed", color="magenta", weight=3]; 13.92/5.39 776 -> 946[label="",style="dashed", color="magenta", weight=3]; 13.92/5.39 777 -> 613[label="",style="dashed", color="red", weight=0]; 13.92/5.39 777[label="xy230 == xy2600",fontsize=16,color="magenta"];777 -> 947[label="",style="dashed", color="magenta", weight=3]; 13.92/5.39 777 -> 948[label="",style="dashed", color="magenta", weight=3]; 13.92/5.39 778 -> 614[label="",style="dashed", color="red", weight=0]; 13.92/5.39 778[label="xy230 == xy2600",fontsize=16,color="magenta"];778 -> 949[label="",style="dashed", color="magenta", weight=3]; 13.92/5.39 778 -> 950[label="",style="dashed", color="magenta", weight=3]; 13.92/5.39 779 -> 615[label="",style="dashed", color="red", weight=0]; 13.92/5.39 779[label="xy230 == xy2600",fontsize=16,color="magenta"];779 -> 951[label="",style="dashed", color="magenta", weight=3]; 13.92/5.39 779 -> 952[label="",style="dashed", color="magenta", weight=3]; 13.92/5.39 780 -> 616[label="",style="dashed", color="red", weight=0]; 13.92/5.39 780[label="xy230 == xy2600",fontsize=16,color="magenta"];780 -> 953[label="",style="dashed", color="magenta", weight=3]; 13.92/5.39 780 -> 954[label="",style="dashed", color="magenta", weight=3]; 13.92/5.39 781 -> 617[label="",style="dashed", color="red", weight=0]; 13.92/5.39 781[label="xy230 == xy2600",fontsize=16,color="magenta"];781 -> 955[label="",style="dashed", color="magenta", weight=3]; 13.92/5.39 781 -> 956[label="",style="dashed", color="magenta", weight=3]; 13.92/5.39 782 -> 618[label="",style="dashed", color="red", weight=0]; 13.92/5.39 782[label="xy230 == xy2600",fontsize=16,color="magenta"];782 -> 957[label="",style="dashed", color="magenta", weight=3]; 13.92/5.39 782 -> 958[label="",style="dashed", color="magenta", weight=3]; 13.92/5.39 783 -> 619[label="",style="dashed", color="red", weight=0]; 13.92/5.39 783[label="xy230 == xy2600",fontsize=16,color="magenta"];783 -> 959[label="",style="dashed", color="magenta", weight=3]; 13.92/5.39 783 -> 960[label="",style="dashed", color="magenta", weight=3]; 13.92/5.39 784 -> 620[label="",style="dashed", color="red", weight=0]; 13.92/5.39 784[label="xy230 == xy2600",fontsize=16,color="magenta"];784 -> 961[label="",style="dashed", color="magenta", weight=3]; 13.92/5.39 784 -> 962[label="",style="dashed", color="magenta", weight=3]; 13.92/5.39 785 -> 621[label="",style="dashed", color="red", weight=0]; 13.92/5.39 785[label="xy230 == xy2600",fontsize=16,color="magenta"];785 -> 963[label="",style="dashed", color="magenta", weight=3]; 13.92/5.39 785 -> 964[label="",style="dashed", color="magenta", weight=3]; 13.92/5.39 786 -> 622[label="",style="dashed", color="red", weight=0]; 13.92/5.39 786[label="xy230 == xy2600",fontsize=16,color="magenta"];786 -> 965[label="",style="dashed", color="magenta", weight=3]; 13.92/5.39 786 -> 966[label="",style="dashed", color="magenta", weight=3]; 13.92/5.39 787 -> 623[label="",style="dashed", color="red", weight=0]; 13.92/5.39 787[label="xy230 == xy2600",fontsize=16,color="magenta"];787 -> 967[label="",style="dashed", color="magenta", weight=3]; 13.92/5.39 787 -> 968[label="",style="dashed", color="magenta", weight=3]; 13.92/5.39 788 -> 624[label="",style="dashed", color="red", weight=0]; 13.92/5.39 788[label="xy230 == xy2600",fontsize=16,color="magenta"];788 -> 969[label="",style="dashed", color="magenta", weight=3]; 13.92/5.39 788 -> 970[label="",style="dashed", color="magenta", weight=3]; 13.92/5.39 789 -> 625[label="",style="dashed", color="red", weight=0]; 13.92/5.39 789[label="xy230 == xy2600",fontsize=16,color="magenta"];789 -> 971[label="",style="dashed", color="magenta", weight=3]; 13.92/5.39 789 -> 972[label="",style="dashed", color="magenta", weight=3]; 13.92/5.39 790 -> 626[label="",style="dashed", color="red", weight=0]; 13.92/5.39 790[label="xy230 == xy2600",fontsize=16,color="magenta"];790 -> 973[label="",style="dashed", color="magenta", weight=3]; 13.92/5.39 790 -> 974[label="",style="dashed", color="magenta", weight=3]; 13.92/5.39 791[label="xy2600",fontsize=16,color="green",shape="box"];792[label="xy230",fontsize=16,color="green",shape="box"];793[label="xy230 == xy2600",fontsize=16,color="blue",shape="box"];1514[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];793 -> 1514[label="",style="solid", color="blue", weight=9]; 13.92/5.39 1514 -> 975[label="",style="solid", color="blue", weight=3]; 13.92/5.39 1515[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];793 -> 1515[label="",style="solid", color="blue", weight=9]; 13.92/5.39 1515 -> 976[label="",style="solid", color="blue", weight=3]; 13.92/5.39 794[label="xy231 == xy2601",fontsize=16,color="blue",shape="box"];1516[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];794 -> 1516[label="",style="solid", color="blue", weight=9]; 13.92/5.39 1516 -> 977[label="",style="solid", color="blue", weight=3]; 13.92/5.39 1517[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];794 -> 1517[label="",style="solid", color="blue", weight=9]; 13.92/5.39 1517 -> 978[label="",style="solid", color="blue", weight=3]; 13.92/5.39 795 -> 613[label="",style="dashed", color="red", weight=0]; 13.92/5.39 795[label="xy220 == xy2610",fontsize=16,color="magenta"];795 -> 979[label="",style="dashed", color="magenta", weight=3]; 13.92/5.39 795 -> 980[label="",style="dashed", color="magenta", weight=3]; 13.92/5.39 796 -> 614[label="",style="dashed", color="red", weight=0]; 13.92/5.39 796[label="xy220 == xy2610",fontsize=16,color="magenta"];796 -> 981[label="",style="dashed", color="magenta", weight=3]; 13.92/5.39 796 -> 982[label="",style="dashed", color="magenta", weight=3]; 13.92/5.39 797 -> 615[label="",style="dashed", color="red", weight=0]; 13.92/5.39 797[label="xy220 == xy2610",fontsize=16,color="magenta"];797 -> 983[label="",style="dashed", color="magenta", weight=3]; 13.92/5.39 797 -> 984[label="",style="dashed", color="magenta", weight=3]; 13.92/5.39 798 -> 616[label="",style="dashed", color="red", weight=0]; 13.92/5.39 798[label="xy220 == xy2610",fontsize=16,color="magenta"];798 -> 985[label="",style="dashed", color="magenta", weight=3]; 13.92/5.39 798 -> 986[label="",style="dashed", color="magenta", weight=3]; 13.92/5.39 799 -> 617[label="",style="dashed", color="red", weight=0]; 13.92/5.39 799[label="xy220 == xy2610",fontsize=16,color="magenta"];799 -> 987[label="",style="dashed", color="magenta", weight=3]; 13.92/5.39 799 -> 988[label="",style="dashed", color="magenta", weight=3]; 13.92/5.39 800 -> 618[label="",style="dashed", color="red", weight=0]; 13.92/5.39 800[label="xy220 == xy2610",fontsize=16,color="magenta"];800 -> 989[label="",style="dashed", color="magenta", weight=3]; 13.92/5.39 800 -> 990[label="",style="dashed", color="magenta", weight=3]; 13.92/5.39 801 -> 619[label="",style="dashed", color="red", weight=0]; 13.92/5.39 801[label="xy220 == xy2610",fontsize=16,color="magenta"];801 -> 991[label="",style="dashed", color="magenta", weight=3]; 13.92/5.39 801 -> 992[label="",style="dashed", color="magenta", weight=3]; 13.92/5.39 802 -> 620[label="",style="dashed", color="red", weight=0]; 13.92/5.39 802[label="xy220 == xy2610",fontsize=16,color="magenta"];802 -> 993[label="",style="dashed", color="magenta", weight=3]; 13.92/5.39 802 -> 994[label="",style="dashed", color="magenta", weight=3]; 13.92/5.39 803 -> 621[label="",style="dashed", color="red", weight=0]; 13.92/5.39 803[label="xy220 == xy2610",fontsize=16,color="magenta"];803 -> 995[label="",style="dashed", color="magenta", weight=3]; 13.92/5.39 803 -> 996[label="",style="dashed", color="magenta", weight=3]; 13.92/5.39 804 -> 622[label="",style="dashed", color="red", weight=0]; 13.92/5.39 804[label="xy220 == xy2610",fontsize=16,color="magenta"];804 -> 997[label="",style="dashed", color="magenta", weight=3]; 13.92/5.39 804 -> 998[label="",style="dashed", color="magenta", weight=3]; 13.92/5.39 805 -> 623[label="",style="dashed", color="red", weight=0]; 13.92/5.39 805[label="xy220 == xy2610",fontsize=16,color="magenta"];805 -> 999[label="",style="dashed", color="magenta", weight=3]; 13.92/5.39 805 -> 1000[label="",style="dashed", color="magenta", weight=3]; 13.92/5.39 806 -> 624[label="",style="dashed", color="red", weight=0]; 13.92/5.39 806[label="xy220 == xy2610",fontsize=16,color="magenta"];806 -> 1001[label="",style="dashed", color="magenta", weight=3]; 13.92/5.39 806 -> 1002[label="",style="dashed", color="magenta", weight=3]; 13.92/5.39 807 -> 625[label="",style="dashed", color="red", weight=0]; 13.92/5.39 807[label="xy220 == xy2610",fontsize=16,color="magenta"];807 -> 1003[label="",style="dashed", color="magenta", weight=3]; 13.92/5.39 807 -> 1004[label="",style="dashed", color="magenta", weight=3]; 13.92/5.39 808 -> 626[label="",style="dashed", color="red", weight=0]; 13.92/5.39 808[label="xy220 == xy2610",fontsize=16,color="magenta"];808 -> 1005[label="",style="dashed", color="magenta", weight=3]; 13.92/5.39 808 -> 1006[label="",style="dashed", color="magenta", weight=3]; 13.92/5.39 809[label="xy2611",fontsize=16,color="green",shape="box"];810[label="xy221",fontsize=16,color="green",shape="box"];811[label="primEqInt (Pos (Succ xy2300)) (Pos (Succ xy26000))",fontsize=16,color="black",shape="box"];811 -> 1007[label="",style="solid", color="black", weight=3]; 13.92/5.39 812[label="primEqInt (Pos (Succ xy2300)) (Pos Zero)",fontsize=16,color="black",shape="box"];812 -> 1008[label="",style="solid", color="black", weight=3]; 13.92/5.39 813[label="False",fontsize=16,color="green",shape="box"];814[label="primEqInt (Pos Zero) (Pos (Succ xy26000))",fontsize=16,color="black",shape="box"];814 -> 1009[label="",style="solid", color="black", weight=3]; 13.92/5.39 815[label="primEqInt (Pos Zero) (Pos Zero)",fontsize=16,color="black",shape="box"];815 -> 1010[label="",style="solid", color="black", weight=3]; 13.92/5.39 816[label="primEqInt (Pos Zero) (Neg (Succ xy26000))",fontsize=16,color="black",shape="box"];816 -> 1011[label="",style="solid", color="black", weight=3]; 13.92/5.39 817[label="primEqInt (Pos Zero) (Neg Zero)",fontsize=16,color="black",shape="box"];817 -> 1012[label="",style="solid", color="black", weight=3]; 13.92/5.39 818[label="False",fontsize=16,color="green",shape="box"];819[label="primEqInt (Neg (Succ xy2300)) (Neg (Succ xy26000))",fontsize=16,color="black",shape="box"];819 -> 1013[label="",style="solid", color="black", weight=3]; 13.92/5.39 820[label="primEqInt (Neg (Succ xy2300)) (Neg Zero)",fontsize=16,color="black",shape="box"];820 -> 1014[label="",style="solid", color="black", weight=3]; 13.92/5.39 821[label="primEqInt (Neg Zero) (Pos (Succ xy26000))",fontsize=16,color="black",shape="box"];821 -> 1015[label="",style="solid", color="black", weight=3]; 13.92/5.39 822[label="primEqInt (Neg Zero) (Pos Zero)",fontsize=16,color="black",shape="box"];822 -> 1016[label="",style="solid", color="black", weight=3]; 13.92/5.39 823[label="primEqInt (Neg Zero) (Neg (Succ xy26000))",fontsize=16,color="black",shape="box"];823 -> 1017[label="",style="solid", color="black", weight=3]; 13.92/5.39 824[label="primEqInt (Neg Zero) (Neg Zero)",fontsize=16,color="black",shape="box"];824 -> 1018[label="",style="solid", color="black", weight=3]; 13.92/5.39 825[label="xy231 * xy2600",fontsize=16,color="black",shape="triangle"];825 -> 1019[label="",style="solid", color="black", weight=3]; 13.92/5.39 826 -> 825[label="",style="dashed", color="red", weight=0]; 13.92/5.39 826[label="xy230 * xy2601",fontsize=16,color="magenta"];826 -> 1020[label="",style="dashed", color="magenta", weight=3]; 13.92/5.39 826 -> 1021[label="",style="dashed", color="magenta", weight=3]; 13.92/5.39 827[label="primEqNat (Succ xy2300) xy2600",fontsize=16,color="burlywood",shape="box"];1518[label="xy2600/Succ xy26000",fontsize=10,color="white",style="solid",shape="box"];827 -> 1518[label="",style="solid", color="burlywood", weight=9]; 13.92/5.39 1518 -> 1022[label="",style="solid", color="burlywood", weight=3]; 13.92/5.39 1519[label="xy2600/Zero",fontsize=10,color="white",style="solid",shape="box"];827 -> 1519[label="",style="solid", color="burlywood", weight=9]; 13.92/5.39 1519 -> 1023[label="",style="solid", color="burlywood", weight=3]; 13.92/5.39 828[label="primEqNat Zero xy2600",fontsize=16,color="burlywood",shape="box"];1520[label="xy2600/Succ xy26000",fontsize=10,color="white",style="solid",shape="box"];828 -> 1520[label="",style="solid", color="burlywood", weight=9]; 13.92/5.39 1520 -> 1024[label="",style="solid", color="burlywood", weight=3]; 13.92/5.39 1521[label="xy2600/Zero",fontsize=10,color="white",style="solid",shape="box"];828 -> 1521[label="",style="solid", color="burlywood", weight=9]; 13.92/5.39 1521 -> 1025[label="",style="solid", color="burlywood", weight=3]; 13.92/5.39 829 -> 613[label="",style="dashed", color="red", weight=0]; 13.92/5.39 829[label="xy230 == xy2600",fontsize=16,color="magenta"];829 -> 1026[label="",style="dashed", color="magenta", weight=3]; 13.92/5.39 829 -> 1027[label="",style="dashed", color="magenta", weight=3]; 13.92/5.39 830 -> 614[label="",style="dashed", color="red", weight=0]; 13.92/5.39 830[label="xy230 == xy2600",fontsize=16,color="magenta"];830 -> 1028[label="",style="dashed", color="magenta", weight=3]; 13.92/5.39 830 -> 1029[label="",style="dashed", color="magenta", weight=3]; 13.92/5.39 831 -> 615[label="",style="dashed", color="red", weight=0]; 13.92/5.39 831[label="xy230 == xy2600",fontsize=16,color="magenta"];831 -> 1030[label="",style="dashed", color="magenta", weight=3]; 13.92/5.39 831 -> 1031[label="",style="dashed", color="magenta", weight=3]; 13.92/5.39 832 -> 616[label="",style="dashed", color="red", weight=0]; 13.92/5.39 832[label="xy230 == xy2600",fontsize=16,color="magenta"];832 -> 1032[label="",style="dashed", color="magenta", weight=3]; 13.92/5.39 832 -> 1033[label="",style="dashed", color="magenta", weight=3]; 13.92/5.39 833 -> 617[label="",style="dashed", color="red", weight=0]; 13.92/5.39 833[label="xy230 == xy2600",fontsize=16,color="magenta"];833 -> 1034[label="",style="dashed", color="magenta", weight=3]; 13.92/5.39 833 -> 1035[label="",style="dashed", color="magenta", weight=3]; 13.92/5.39 834 -> 618[label="",style="dashed", color="red", weight=0]; 13.92/5.39 834[label="xy230 == xy2600",fontsize=16,color="magenta"];834 -> 1036[label="",style="dashed", color="magenta", weight=3]; 13.92/5.39 834 -> 1037[label="",style="dashed", color="magenta", weight=3]; 13.92/5.39 835 -> 619[label="",style="dashed", color="red", weight=0]; 13.92/5.39 835[label="xy230 == xy2600",fontsize=16,color="magenta"];835 -> 1038[label="",style="dashed", color="magenta", weight=3]; 13.92/5.39 835 -> 1039[label="",style="dashed", color="magenta", weight=3]; 13.92/5.39 836 -> 620[label="",style="dashed", color="red", weight=0]; 13.92/5.39 836[label="xy230 == xy2600",fontsize=16,color="magenta"];836 -> 1040[label="",style="dashed", color="magenta", weight=3]; 13.92/5.39 836 -> 1041[label="",style="dashed", color="magenta", weight=3]; 13.92/5.39 837 -> 621[label="",style="dashed", color="red", weight=0]; 13.92/5.39 837[label="xy230 == xy2600",fontsize=16,color="magenta"];837 -> 1042[label="",style="dashed", color="magenta", weight=3]; 13.92/5.39 837 -> 1043[label="",style="dashed", color="magenta", weight=3]; 13.92/5.39 838 -> 622[label="",style="dashed", color="red", weight=0]; 13.92/5.39 838[label="xy230 == xy2600",fontsize=16,color="magenta"];838 -> 1044[label="",style="dashed", color="magenta", weight=3]; 13.92/5.39 838 -> 1045[label="",style="dashed", color="magenta", weight=3]; 13.92/5.39 839 -> 623[label="",style="dashed", color="red", weight=0]; 13.92/5.39 839[label="xy230 == xy2600",fontsize=16,color="magenta"];839 -> 1046[label="",style="dashed", color="magenta", weight=3]; 13.92/5.39 839 -> 1047[label="",style="dashed", color="magenta", weight=3]; 13.92/5.39 840 -> 624[label="",style="dashed", color="red", weight=0]; 13.92/5.39 840[label="xy230 == xy2600",fontsize=16,color="magenta"];840 -> 1048[label="",style="dashed", color="magenta", weight=3]; 13.92/5.39 840 -> 1049[label="",style="dashed", color="magenta", weight=3]; 13.92/5.39 841 -> 625[label="",style="dashed", color="red", weight=0]; 13.92/5.39 841[label="xy230 == xy2600",fontsize=16,color="magenta"];841 -> 1050[label="",style="dashed", color="magenta", weight=3]; 13.92/5.39 841 -> 1051[label="",style="dashed", color="magenta", weight=3]; 13.92/5.39 842 -> 626[label="",style="dashed", color="red", weight=0]; 13.92/5.39 842[label="xy230 == xy2600",fontsize=16,color="magenta"];842 -> 1052[label="",style="dashed", color="magenta", weight=3]; 13.92/5.39 842 -> 1053[label="",style="dashed", color="magenta", weight=3]; 13.92/5.39 843[label="xy231 == xy2601",fontsize=16,color="blue",shape="box"];1522[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];843 -> 1522[label="",style="solid", color="blue", weight=9]; 13.92/5.39 1522 -> 1054[label="",style="solid", color="blue", weight=3]; 13.92/5.39 1523[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];843 -> 1523[label="",style="solid", color="blue", weight=9]; 13.92/5.39 1523 -> 1055[label="",style="solid", color="blue", weight=3]; 13.92/5.39 1524[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];843 -> 1524[label="",style="solid", color="blue", weight=9]; 13.92/5.39 1524 -> 1056[label="",style="solid", color="blue", weight=3]; 13.92/5.39 1525[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];843 -> 1525[label="",style="solid", color="blue", weight=9]; 13.92/5.39 1525 -> 1057[label="",style="solid", color="blue", weight=3]; 13.92/5.39 1526[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];843 -> 1526[label="",style="solid", color="blue", weight=9]; 13.92/5.39 1526 -> 1058[label="",style="solid", color="blue", weight=3]; 13.92/5.39 1527[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];843 -> 1527[label="",style="solid", color="blue", weight=9]; 13.92/5.39 1527 -> 1059[label="",style="solid", color="blue", weight=3]; 13.92/5.39 1528[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];843 -> 1528[label="",style="solid", color="blue", weight=9]; 13.92/5.39 1528 -> 1060[label="",style="solid", color="blue", weight=3]; 13.92/5.39 1529[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];843 -> 1529[label="",style="solid", color="blue", weight=9]; 13.92/5.39 1529 -> 1061[label="",style="solid", color="blue", weight=3]; 13.92/5.39 1530[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];843 -> 1530[label="",style="solid", color="blue", weight=9]; 13.92/5.39 1530 -> 1062[label="",style="solid", color="blue", weight=3]; 13.92/5.39 1531[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];843 -> 1531[label="",style="solid", color="blue", weight=9]; 13.92/5.39 1531 -> 1063[label="",style="solid", color="blue", weight=3]; 13.92/5.39 1532[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];843 -> 1532[label="",style="solid", color="blue", weight=9]; 13.92/5.39 1532 -> 1064[label="",style="solid", color="blue", weight=3]; 13.92/5.39 1533[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];843 -> 1533[label="",style="solid", color="blue", weight=9]; 13.92/5.39 1533 -> 1065[label="",style="solid", color="blue", weight=3]; 13.92/5.39 1534[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];843 -> 1534[label="",style="solid", color="blue", weight=9]; 13.92/5.39 1534 -> 1066[label="",style="solid", color="blue", weight=3]; 13.92/5.39 1535[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];843 -> 1535[label="",style="solid", color="blue", weight=9]; 13.92/5.39 1535 -> 1067[label="",style="solid", color="blue", weight=3]; 13.92/5.39 844[label="xy232 == xy2602",fontsize=16,color="blue",shape="box"];1536[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];844 -> 1536[label="",style="solid", color="blue", weight=9]; 13.92/5.39 1536 -> 1068[label="",style="solid", color="blue", weight=3]; 13.92/5.39 1537[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];844 -> 1537[label="",style="solid", color="blue", weight=9]; 13.92/5.39 1537 -> 1069[label="",style="solid", color="blue", weight=3]; 13.92/5.39 1538[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];844 -> 1538[label="",style="solid", color="blue", weight=9]; 13.92/5.39 1538 -> 1070[label="",style="solid", color="blue", weight=3]; 13.92/5.39 1539[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];844 -> 1539[label="",style="solid", color="blue", weight=9]; 13.92/5.39 1539 -> 1071[label="",style="solid", color="blue", weight=3]; 13.92/5.39 1540[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];844 -> 1540[label="",style="solid", color="blue", weight=9]; 13.92/5.39 1540 -> 1072[label="",style="solid", color="blue", weight=3]; 13.92/5.39 1541[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];844 -> 1541[label="",style="solid", color="blue", weight=9]; 13.92/5.39 1541 -> 1073[label="",style="solid", color="blue", weight=3]; 13.92/5.39 1542[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];844 -> 1542[label="",style="solid", color="blue", weight=9]; 13.92/5.39 1542 -> 1074[label="",style="solid", color="blue", weight=3]; 13.92/5.39 1543[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];844 -> 1543[label="",style="solid", color="blue", weight=9]; 13.92/5.39 1543 -> 1075[label="",style="solid", color="blue", weight=3]; 13.92/5.39 1544[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];844 -> 1544[label="",style="solid", color="blue", weight=9]; 13.92/5.39 1544 -> 1076[label="",style="solid", color="blue", weight=3]; 13.92/5.39 1545[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];844 -> 1545[label="",style="solid", color="blue", weight=9]; 13.92/5.39 1545 -> 1077[label="",style="solid", color="blue", weight=3]; 13.92/5.39 1546[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];844 -> 1546[label="",style="solid", color="blue", weight=9]; 13.92/5.40 1546 -> 1078[label="",style="solid", color="blue", weight=3]; 13.92/5.40 1547[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];844 -> 1547[label="",style="solid", color="blue", weight=9]; 13.92/5.40 1547 -> 1079[label="",style="solid", color="blue", weight=3]; 13.92/5.40 1548[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];844 -> 1548[label="",style="solid", color="blue", weight=9]; 13.92/5.40 1548 -> 1080[label="",style="solid", color="blue", weight=3]; 13.92/5.40 1549[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];844 -> 1549[label="",style="solid", color="blue", weight=9]; 13.92/5.40 1549 -> 1081[label="",style="solid", color="blue", weight=3]; 13.92/5.40 845 -> 613[label="",style="dashed", color="red", weight=0]; 13.92/5.40 845[label="xy230 == xy2600",fontsize=16,color="magenta"];845 -> 1082[label="",style="dashed", color="magenta", weight=3]; 13.92/5.40 845 -> 1083[label="",style="dashed", color="magenta", weight=3]; 13.92/5.40 846 -> 614[label="",style="dashed", color="red", weight=0]; 13.92/5.40 846[label="xy230 == xy2600",fontsize=16,color="magenta"];846 -> 1084[label="",style="dashed", color="magenta", weight=3]; 13.92/5.40 846 -> 1085[label="",style="dashed", color="magenta", weight=3]; 13.92/5.40 847 -> 615[label="",style="dashed", color="red", weight=0]; 13.92/5.40 847[label="xy230 == xy2600",fontsize=16,color="magenta"];847 -> 1086[label="",style="dashed", color="magenta", weight=3]; 13.92/5.40 847 -> 1087[label="",style="dashed", color="magenta", weight=3]; 13.92/5.40 848 -> 616[label="",style="dashed", color="red", weight=0]; 13.92/5.40 848[label="xy230 == xy2600",fontsize=16,color="magenta"];848 -> 1088[label="",style="dashed", color="magenta", weight=3]; 13.92/5.40 848 -> 1089[label="",style="dashed", color="magenta", weight=3]; 13.92/5.40 849 -> 617[label="",style="dashed", color="red", weight=0]; 13.92/5.40 849[label="xy230 == xy2600",fontsize=16,color="magenta"];849 -> 1090[label="",style="dashed", color="magenta", weight=3]; 13.92/5.40 849 -> 1091[label="",style="dashed", color="magenta", weight=3]; 13.92/5.40 850 -> 618[label="",style="dashed", color="red", weight=0]; 13.92/5.40 850[label="xy230 == xy2600",fontsize=16,color="magenta"];850 -> 1092[label="",style="dashed", color="magenta", weight=3]; 13.92/5.40 850 -> 1093[label="",style="dashed", color="magenta", weight=3]; 13.92/5.40 851 -> 619[label="",style="dashed", color="red", weight=0]; 13.92/5.40 851[label="xy230 == xy2600",fontsize=16,color="magenta"];851 -> 1094[label="",style="dashed", color="magenta", weight=3]; 13.92/5.40 851 -> 1095[label="",style="dashed", color="magenta", weight=3]; 13.92/5.40 852 -> 620[label="",style="dashed", color="red", weight=0]; 13.92/5.40 852[label="xy230 == xy2600",fontsize=16,color="magenta"];852 -> 1096[label="",style="dashed", color="magenta", weight=3]; 13.92/5.40 852 -> 1097[label="",style="dashed", color="magenta", weight=3]; 13.92/5.40 853 -> 621[label="",style="dashed", color="red", weight=0]; 13.92/5.40 853[label="xy230 == xy2600",fontsize=16,color="magenta"];853 -> 1098[label="",style="dashed", color="magenta", weight=3]; 13.92/5.40 853 -> 1099[label="",style="dashed", color="magenta", weight=3]; 13.92/5.40 854 -> 622[label="",style="dashed", color="red", weight=0]; 13.92/5.40 854[label="xy230 == xy2600",fontsize=16,color="magenta"];854 -> 1100[label="",style="dashed", color="magenta", weight=3]; 13.92/5.40 854 -> 1101[label="",style="dashed", color="magenta", weight=3]; 13.92/5.40 855 -> 623[label="",style="dashed", color="red", weight=0]; 13.92/5.40 855[label="xy230 == xy2600",fontsize=16,color="magenta"];855 -> 1102[label="",style="dashed", color="magenta", weight=3]; 13.92/5.40 855 -> 1103[label="",style="dashed", color="magenta", weight=3]; 13.92/5.40 856 -> 624[label="",style="dashed", color="red", weight=0]; 13.92/5.40 856[label="xy230 == xy2600",fontsize=16,color="magenta"];856 -> 1104[label="",style="dashed", color="magenta", weight=3]; 13.92/5.40 856 -> 1105[label="",style="dashed", color="magenta", weight=3]; 13.92/5.40 857 -> 625[label="",style="dashed", color="red", weight=0]; 13.92/5.40 857[label="xy230 == xy2600",fontsize=16,color="magenta"];857 -> 1106[label="",style="dashed", color="magenta", weight=3]; 13.92/5.40 857 -> 1107[label="",style="dashed", color="magenta", weight=3]; 13.92/5.40 858 -> 626[label="",style="dashed", color="red", weight=0]; 13.92/5.40 858[label="xy230 == xy2600",fontsize=16,color="magenta"];858 -> 1108[label="",style="dashed", color="magenta", weight=3]; 13.92/5.40 858 -> 1109[label="",style="dashed", color="magenta", weight=3]; 13.92/5.40 859 -> 613[label="",style="dashed", color="red", weight=0]; 13.92/5.40 859[label="xy231 == xy2601",fontsize=16,color="magenta"];859 -> 1110[label="",style="dashed", color="magenta", weight=3]; 13.92/5.40 859 -> 1111[label="",style="dashed", color="magenta", weight=3]; 13.92/5.40 860 -> 614[label="",style="dashed", color="red", weight=0]; 13.92/5.40 860[label="xy231 == xy2601",fontsize=16,color="magenta"];860 -> 1112[label="",style="dashed", color="magenta", weight=3]; 13.92/5.40 860 -> 1113[label="",style="dashed", color="magenta", weight=3]; 13.92/5.40 861 -> 615[label="",style="dashed", color="red", weight=0]; 13.92/5.40 861[label="xy231 == xy2601",fontsize=16,color="magenta"];861 -> 1114[label="",style="dashed", color="magenta", weight=3]; 13.92/5.40 861 -> 1115[label="",style="dashed", color="magenta", weight=3]; 13.92/5.40 862 -> 616[label="",style="dashed", color="red", weight=0]; 13.92/5.40 862[label="xy231 == xy2601",fontsize=16,color="magenta"];862 -> 1116[label="",style="dashed", color="magenta", weight=3]; 13.92/5.40 862 -> 1117[label="",style="dashed", color="magenta", weight=3]; 13.92/5.40 863 -> 617[label="",style="dashed", color="red", weight=0]; 13.92/5.40 863[label="xy231 == 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-> 613[label="",style="dashed", color="red", weight=0]; 13.92/5.40 975[label="xy230 == xy2600",fontsize=16,color="magenta"];975 -> 1170[label="",style="dashed", color="magenta", weight=3]; 13.92/5.40 975 -> 1171[label="",style="dashed", color="magenta", weight=3]; 13.92/5.40 976 -> 624[label="",style="dashed", color="red", weight=0]; 13.92/5.40 976[label="xy230 == xy2600",fontsize=16,color="magenta"];976 -> 1172[label="",style="dashed", color="magenta", weight=3]; 13.92/5.40 976 -> 1173[label="",style="dashed", color="magenta", weight=3]; 13.92/5.40 977 -> 613[label="",style="dashed", color="red", weight=0]; 13.92/5.40 977[label="xy231 == xy2601",fontsize=16,color="magenta"];977 -> 1174[label="",style="dashed", color="magenta", weight=3]; 13.92/5.40 977 -> 1175[label="",style="dashed", color="magenta", weight=3]; 13.92/5.40 978 -> 624[label="",style="dashed", color="red", weight=0]; 13.92/5.40 978[label="xy231 == xy2601",fontsize=16,color="magenta"];978 -> 1176[label="",style="dashed", 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979[label="xy2610",fontsize=16,color="green",shape="box"];980[label="xy220",fontsize=16,color="green",shape="box"];981[label="xy2610",fontsize=16,color="green",shape="box"];982[label="xy220",fontsize=16,color="green",shape="box"];983[label="xy2610",fontsize=16,color="green",shape="box"];984[label="xy220",fontsize=16,color="green",shape="box"];985[label="xy2610",fontsize=16,color="green",shape="box"];986[label="xy220",fontsize=16,color="green",shape="box"];987[label="xy2610",fontsize=16,color="green",shape="box"];988[label="xy220",fontsize=16,color="green",shape="box"];989[label="xy2610",fontsize=16,color="green",shape="box"];990[label="xy220",fontsize=16,color="green",shape="box"];991[label="xy2610",fontsize=16,color="green",shape="box"];992[label="xy220",fontsize=16,color="green",shape="box"];993[label="xy2610",fontsize=16,color="green",shape="box"];994[label="xy220",fontsize=16,color="green",shape="box"];995[label="xy2610",fontsize=16,color="green",shape="box"];996[label="xy220",fontsize=16,color="green",shape="box"];997[label="xy2610",fontsize=16,color="green",shape="box"];998[label="xy220",fontsize=16,color="green",shape="box"];999[label="xy2610",fontsize=16,color="green",shape="box"];1000[label="xy220",fontsize=16,color="green",shape="box"];1001[label="xy2610",fontsize=16,color="green",shape="box"];1002[label="xy220",fontsize=16,color="green",shape="box"];1003[label="xy2610",fontsize=16,color="green",shape="box"];1004[label="xy220",fontsize=16,color="green",shape="box"];1005[label="xy2610",fontsize=16,color="green",shape="box"];1006[label="xy220",fontsize=16,color="green",shape="box"];1007 -> 741[label="",style="dashed", color="red", weight=0]; 13.92/5.40 1007[label="primEqNat xy2300 xy26000",fontsize=16,color="magenta"];1007 -> 1178[label="",style="dashed", color="magenta", weight=3]; 13.92/5.40 1007 -> 1179[label="",style="dashed", color="magenta", weight=3]; 13.92/5.40 1008[label="False",fontsize=16,color="green",shape="box"];1009[label="False",fontsize=16,color="green",shape="box"];1010[label="True",fontsize=16,color="green",shape="box"];1011[label="False",fontsize=16,color="green",shape="box"];1012[label="True",fontsize=16,color="green",shape="box"];1013 -> 741[label="",style="dashed", color="red", weight=0]; 13.92/5.40 1013[label="primEqNat xy2300 xy26000",fontsize=16,color="magenta"];1013 -> 1180[label="",style="dashed", color="magenta", weight=3]; 13.92/5.40 1013 -> 1181[label="",style="dashed", color="magenta", weight=3]; 13.92/5.40 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(Succ xy26000)",fontsize=16,color="black",shape="box"];1022 -> 1184[label="",style="solid", color="black", weight=3]; 13.92/5.40 1023[label="primEqNat (Succ xy2300) Zero",fontsize=16,color="black",shape="box"];1023 -> 1185[label="",style="solid", color="black", weight=3]; 13.92/5.40 1024[label="primEqNat Zero (Succ xy26000)",fontsize=16,color="black",shape="box"];1024 -> 1186[label="",style="solid", color="black", weight=3]; 13.92/5.40 1025[label="primEqNat Zero Zero",fontsize=16,color="black",shape="box"];1025 -> 1187[label="",style="solid", color="black", weight=3]; 13.92/5.40 1026[label="xy2600",fontsize=16,color="green",shape="box"];1027[label="xy230",fontsize=16,color="green",shape="box"];1028[label="xy2600",fontsize=16,color="green",shape="box"];1029[label="xy230",fontsize=16,color="green",shape="box"];1030[label="xy2600",fontsize=16,color="green",shape="box"];1031[label="xy230",fontsize=16,color="green",shape="box"];1032[label="xy2600",fontsize=16,color="green",shape="box"];1033[label="xy230",fontsize=16,color="green",shape="box"];1034[label="xy2600",fontsize=16,color="green",shape="box"];1035[label="xy230",fontsize=16,color="green",shape="box"];1036[label="xy2600",fontsize=16,color="green",shape="box"];1037[label="xy230",fontsize=16,color="green",shape="box"];1038[label="xy2600",fontsize=16,color="green",shape="box"];1039[label="xy230",fontsize=16,color="green",shape="box"];1040[label="xy2600",fontsize=16,color="green",shape="box"];1041[label="xy230",fontsize=16,color="green",shape="box"];1042[label="xy2600",fontsize=16,color="green",shape="box"];1043[label="xy230",fontsize=16,color="green",shape="box"];1044[label="xy2600",fontsize=16,color="green",shape="box"];1045[label="xy230",fontsize=16,color="green",shape="box"];1046[label="xy2600",fontsize=16,color="green",shape="box"];1047[label="xy230",fontsize=16,color="green",shape="box"];1048[label="xy2600",fontsize=16,color="green",shape="box"];1049[label="xy230",fontsize=16,color="green",shape="box"];1050[label="xy2600",fontsize=16,color="green",shape="box"];1051[label="xy230",fontsize=16,color="green",shape="box"];1052[label="xy2600",fontsize=16,color="green",shape="box"];1053[label="xy230",fontsize=16,color="green",shape="box"];1054 -> 613[label="",style="dashed", color="red", weight=0]; 13.92/5.40 1054[label="xy231 == xy2601",fontsize=16,color="magenta"];1054 -> 1188[label="",style="dashed", color="magenta", weight=3]; 13.92/5.40 1054 -> 1189[label="",style="dashed", color="magenta", weight=3]; 13.92/5.40 1055 -> 614[label="",style="dashed", color="red", weight=0]; 13.92/5.40 1055[label="xy231 == xy2601",fontsize=16,color="magenta"];1055 -> 1190[label="",style="dashed", color="magenta", weight=3]; 13.92/5.40 1055 -> 1191[label="",style="dashed", color="magenta", weight=3]; 13.92/5.40 1056 -> 615[label="",style="dashed", color="red", weight=0]; 13.92/5.40 1056[label="xy231 == xy2601",fontsize=16,color="magenta"];1056 -> 1192[label="",style="dashed", color="magenta", weight=3]; 13.92/5.40 1056 -> 1193[label="",style="dashed", color="magenta", weight=3]; 13.92/5.40 1057 -> 616[label="",style="dashed", color="red", weight=0]; 13.92/5.40 1057[label="xy231 == xy2601",fontsize=16,color="magenta"];1057 -> 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1208[label="",style="dashed", color="magenta", weight=3]; 13.92/5.40 1064 -> 1209[label="",style="dashed", color="magenta", weight=3]; 13.92/5.40 1065 -> 624[label="",style="dashed", color="red", weight=0]; 13.92/5.40 1065[label="xy231 == xy2601",fontsize=16,color="magenta"];1065 -> 1210[label="",style="dashed", color="magenta", weight=3]; 13.92/5.40 1065 -> 1211[label="",style="dashed", color="magenta", weight=3]; 13.92/5.40 1066 -> 625[label="",style="dashed", color="red", weight=0]; 13.92/5.40 1066[label="xy231 == xy2601",fontsize=16,color="magenta"];1066 -> 1212[label="",style="dashed", color="magenta", weight=3]; 13.92/5.40 1066 -> 1213[label="",style="dashed", color="magenta", weight=3]; 13.92/5.40 1067 -> 626[label="",style="dashed", color="red", weight=0]; 13.92/5.40 1067[label="xy231 == xy2601",fontsize=16,color="magenta"];1067 -> 1214[label="",style="dashed", color="magenta", weight=3]; 13.92/5.40 1067 -> 1215[label="",style="dashed", color="magenta", weight=3]; 13.92/5.40 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1222[label="",style="dashed", color="magenta", weight=3]; 13.92/5.40 1071 -> 1223[label="",style="dashed", color="magenta", weight=3]; 13.92/5.40 1072 -> 617[label="",style="dashed", color="red", weight=0]; 13.92/5.40 1072[label="xy232 == xy2602",fontsize=16,color="magenta"];1072 -> 1224[label="",style="dashed", color="magenta", weight=3]; 13.92/5.40 1072 -> 1225[label="",style="dashed", color="magenta", weight=3]; 13.92/5.40 1073 -> 618[label="",style="dashed", color="red", weight=0]; 13.92/5.40 1073[label="xy232 == xy2602",fontsize=16,color="magenta"];1073 -> 1226[label="",style="dashed", color="magenta", weight=3]; 13.92/5.40 1073 -> 1227[label="",style="dashed", color="magenta", weight=3]; 13.92/5.40 1074 -> 619[label="",style="dashed", color="red", weight=0]; 13.92/5.40 1074[label="xy232 == xy2602",fontsize=16,color="magenta"];1074 -> 1228[label="",style="dashed", color="magenta", weight=3]; 13.92/5.40 1074 -> 1229[label="",style="dashed", color="magenta", weight=3]; 13.92/5.40 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1082[label="xy2600",fontsize=16,color="green",shape="box"];1083[label="xy230",fontsize=16,color="green",shape="box"];1084[label="xy2600",fontsize=16,color="green",shape="box"];1085[label="xy230",fontsize=16,color="green",shape="box"];1086[label="xy2600",fontsize=16,color="green",shape="box"];1087[label="xy230",fontsize=16,color="green",shape="box"];1088[label="xy2600",fontsize=16,color="green",shape="box"];1089[label="xy230",fontsize=16,color="green",shape="box"];1090[label="xy2600",fontsize=16,color="green",shape="box"];1091[label="xy230",fontsize=16,color="green",shape="box"];1092[label="xy2600",fontsize=16,color="green",shape="box"];1093[label="xy230",fontsize=16,color="green",shape="box"];1094[label="xy2600",fontsize=16,color="green",shape="box"];1095[label="xy230",fontsize=16,color="green",shape="box"];1096[label="xy2600",fontsize=16,color="green",shape="box"];1097[label="xy230",fontsize=16,color="green",shape="box"];1098[label="xy2600",fontsize=16,color="green",shape="box"];1099[label="xy230",fontsize=16,color="green",shape="box"];1100[label="xy2600",fontsize=16,color="green",shape="box"];1101[label="xy230",fontsize=16,color="green",shape="box"];1102[label="xy2600",fontsize=16,color="green",shape="box"];1103[label="xy230",fontsize=16,color="green",shape="box"];1104[label="xy2600",fontsize=16,color="green",shape="box"];1105[label="xy230",fontsize=16,color="green",shape="box"];1106[label="xy2600",fontsize=16,color="green",shape="box"];1107[label="xy230",fontsize=16,color="green",shape="box"];1108[label="xy2600",fontsize=16,color="green",shape="box"];1109[label="xy230",fontsize=16,color="green",shape="box"];1110[label="xy2601",fontsize=16,color="green",shape="box"];1111[label="xy231",fontsize=16,color="green",shape="box"];1112[label="xy2601",fontsize=16,color="green",shape="box"];1113[label="xy231",fontsize=16,color="green",shape="box"];1114[label="xy2601",fontsize=16,color="green",shape="box"];1115[label="xy231",fontsize=16,color="green",shape="box"];1116[label="xy2601",fontsize=16,color="green",shape="box"];1117[label="xy231",fontsize=16,color="green",shape="box"];1118[label="xy2601",fontsize=16,color="green",shape="box"];1119[label="xy231",fontsize=16,color="green",shape="box"];1120[label="xy2601",fontsize=16,color="green",shape="box"];1121[label="xy231",fontsize=16,color="green",shape="box"];1122[label="xy2601",fontsize=16,color="green",shape="box"];1123[label="xy231",fontsize=16,color="green",shape="box"];1124[label="xy2601",fontsize=16,color="green",shape="box"];1125[label="xy231",fontsize=16,color="green",shape="box"];1126[label="xy2601",fontsize=16,color="green",shape="box"];1127[label="xy231",fontsize=16,color="green",shape="box"];1128[label="xy2601",fontsize=16,color="green",shape="box"];1129[label="xy231",fontsize=16,color="green",shape="box"];1130[label="xy2601",fontsize=16,color="green",shape="box"];1131[label="xy231",fontsize=16,color="green",shape="box"];1132[label="xy2601",fontsize=16,color="green",shape="box"];1133[label="xy231",fontsize=16,color="green",shape="box"];1134[label="xy2601",fontsize=16,color="green",shape="box"];1135[label="xy231",fontsize=16,color="green",shape="box"];1136[label="xy2601",fontsize=16,color="green",shape="box"];1137[label="xy231",fontsize=16,color="green",shape="box"];1138[label="xy231",fontsize=16,color="green",shape="box"];1139[label="xy2600",fontsize=16,color="green",shape="box"];1140[label="xy230",fontsize=16,color="green",shape="box"];1141[label="xy2601",fontsize=16,color="green",shape="box"];1142[label="xy2600",fontsize=16,color="green",shape="box"];1143[label="xy230",fontsize=16,color="green",shape="box"];1144[label="xy2600",fontsize=16,color="green",shape="box"];1145[label="xy230",fontsize=16,color="green",shape="box"];1146[label="xy2600",fontsize=16,color="green",shape="box"];1147[label="xy230",fontsize=16,color="green",shape="box"];1148[label="xy2600",fontsize=16,color="green",shape="box"];1149[label="xy230",fontsize=16,color="green",shape="box"];1150[label="xy2600",fontsize=16,color="green",shape="box"];1151[label="xy230",fontsize=16,color="green",shape="box"];1152[label="xy2600",fontsize=16,color="green",shape="box"];1153[label="xy230",fontsize=16,color="green",shape="box"];1154[label="xy2600",fontsize=16,color="green",shape="box"];1155[label="xy230",fontsize=16,color="green",shape="box"];1156[label="xy2600",fontsize=16,color="green",shape="box"];1157[label="xy230",fontsize=16,color="green",shape="box"];1158[label="xy2600",fontsize=16,color="green",shape="box"];1159[label="xy230",fontsize=16,color="green",shape="box"];1160[label="xy2600",fontsize=16,color="green",shape="box"];1161[label="xy230",fontsize=16,color="green",shape="box"];1162[label="xy2600",fontsize=16,color="green",shape="box"];1163[label="xy230",fontsize=16,color="green",shape="box"];1164[label="xy2600",fontsize=16,color="green",shape="box"];1165[label="xy230",fontsize=16,color="green",shape="box"];1166[label="xy2600",fontsize=16,color="green",shape="box"];1167[label="xy230",fontsize=16,color="green",shape="box"];1168[label="xy2600",fontsize=16,color="green",shape="box"];1169[label="xy230",fontsize=16,color="green",shape="box"];1170[label="xy2600",fontsize=16,color="green",shape="box"];1171[label="xy230",fontsize=16,color="green",shape="box"];1172[label="xy2600",fontsize=16,color="green",shape="box"];1173[label="xy230",fontsize=16,color="green",shape="box"];1174[label="xy2601",fontsize=16,color="green",shape="box"];1175[label="xy231",fontsize=16,color="green",shape="box"];1176[label="xy2601",fontsize=16,color="green",shape="box"];1177[label="xy231",fontsize=16,color="green",shape="box"];1178[label="xy2300",fontsize=16,color="green",shape="box"];1179[label="xy26000",fontsize=16,color="green",shape="box"];1180[label="xy2300",fontsize=16,color="green",shape="box"];1181[label="xy26000",fontsize=16,color="green",shape="box"];1182[label="primMulInt 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color="burlywood", weight=9]; 13.92/5.40 1555 -> 1247[label="",style="solid", color="burlywood", weight=3]; 13.92/5.40 1184 -> 741[label="",style="dashed", color="red", weight=0]; 13.92/5.40 1184[label="primEqNat xy2300 xy26000",fontsize=16,color="magenta"];1184 -> 1248[label="",style="dashed", color="magenta", weight=3]; 13.92/5.40 1184 -> 1249[label="",style="dashed", color="magenta", weight=3]; 13.92/5.40 1185[label="False",fontsize=16,color="green",shape="box"];1186[label="False",fontsize=16,color="green",shape="box"];1187[label="True",fontsize=16,color="green",shape="box"];1188[label="xy2601",fontsize=16,color="green",shape="box"];1189[label="xy231",fontsize=16,color="green",shape="box"];1190[label="xy2601",fontsize=16,color="green",shape="box"];1191[label="xy231",fontsize=16,color="green",shape="box"];1192[label="xy2601",fontsize=16,color="green",shape="box"];1193[label="xy231",fontsize=16,color="green",shape="box"];1194[label="xy2601",fontsize=16,color="green",shape="box"];1195[label="xy231",fontsize=16,color="green",shape="box"];1196[label="xy2601",fontsize=16,color="green",shape="box"];1197[label="xy231",fontsize=16,color="green",shape="box"];1198[label="xy2601",fontsize=16,color="green",shape="box"];1199[label="xy231",fontsize=16,color="green",shape="box"];1200[label="xy2601",fontsize=16,color="green",shape="box"];1201[label="xy231",fontsize=16,color="green",shape="box"];1202[label="xy2601",fontsize=16,color="green",shape="box"];1203[label="xy231",fontsize=16,color="green",shape="box"];1204[label="xy2601",fontsize=16,color="green",shape="box"];1205[label="xy231",fontsize=16,color="green",shape="box"];1206[label="xy2601",fontsize=16,color="green",shape="box"];1207[label="xy231",fontsize=16,color="green",shape="box"];1208[label="xy2601",fontsize=16,color="green",shape="box"];1209[label="xy231",fontsize=16,color="green",shape="box"];1210[label="xy2601",fontsize=16,color="green",shape="box"];1211[label="xy231",fontsize=16,color="green",shape="box"];1212[label="xy2601",fontsize=16,color="green",shape="box"];1213[label="xy231",fontsize=16,color="green",shape="box"];1214[label="xy2601",fontsize=16,color="green",shape="box"];1215[label="xy231",fontsize=16,color="green",shape="box"];1216[label="xy2602",fontsize=16,color="green",shape="box"];1217[label="xy232",fontsize=16,color="green",shape="box"];1218[label="xy2602",fontsize=16,color="green",shape="box"];1219[label="xy232",fontsize=16,color="green",shape="box"];1220[label="xy2602",fontsize=16,color="green",shape="box"];1221[label="xy232",fontsize=16,color="green",shape="box"];1222[label="xy2602",fontsize=16,color="green",shape="box"];1223[label="xy232",fontsize=16,color="green",shape="box"];1224[label="xy2602",fontsize=16,color="green",shape="box"];1225[label="xy232",fontsize=16,color="green",shape="box"];1226[label="xy2602",fontsize=16,color="green",shape="box"];1227[label="xy232",fontsize=16,color="green",shape="box"];1228[label="xy2602",fontsize=16,color="green",shape="box"];1229[label="xy232",fontsize=16,color="green",shape="box"];1230[label="xy2602",fontsize=16,color="green",shape="box"];1231[label="xy232",fontsize=16,color="green",shape="box"];1232[label="xy2602",fontsize=16,color="green",shape="box"];1233[label="xy232",fontsize=16,color="green",shape="box"];1234[label="xy2602",fontsize=16,color="green",shape="box"];1235[label="xy232",fontsize=16,color="green",shape="box"];1236[label="xy2602",fontsize=16,color="green",shape="box"];1237[label="xy232",fontsize=16,color="green",shape="box"];1238[label="xy2602",fontsize=16,color="green",shape="box"];1239[label="xy232",fontsize=16,color="green",shape="box"];1240[label="xy2602",fontsize=16,color="green",shape="box"];1241[label="xy232",fontsize=16,color="green",shape="box"];1242[label="xy2602",fontsize=16,color="green",shape="box"];1243[label="xy232",fontsize=16,color="green",shape="box"];1244[label="primMulInt (Pos xy2310) (Pos xy26000)",fontsize=16,color="black",shape="box"];1244 -> 1250[label="",style="solid", color="black", weight=3]; 13.92/5.40 1245[label="primMulInt (Pos xy2310) (Neg xy26000)",fontsize=16,color="black",shape="box"];1245 -> 1251[label="",style="solid", color="black", weight=3]; 13.92/5.40 1246[label="primMulInt (Neg xy2310) (Pos xy26000)",fontsize=16,color="black",shape="box"];1246 -> 1252[label="",style="solid", color="black", weight=3]; 13.92/5.40 1247[label="primMulInt (Neg xy2310) (Neg xy26000)",fontsize=16,color="black",shape="box"];1247 -> 1253[label="",style="solid", color="black", weight=3]; 13.92/5.40 1248[label="xy2300",fontsize=16,color="green",shape="box"];1249[label="xy26000",fontsize=16,color="green",shape="box"];1250[label="Pos (primMulNat xy2310 xy26000)",fontsize=16,color="green",shape="box"];1250 -> 1254[label="",style="dashed", color="green", weight=3]; 13.92/5.40 1251[label="Neg (primMulNat xy2310 xy26000)",fontsize=16,color="green",shape="box"];1251 -> 1255[label="",style="dashed", color="green", weight=3]; 13.92/5.40 1252[label="Neg (primMulNat xy2310 xy26000)",fontsize=16,color="green",shape="box"];1252 -> 1256[label="",style="dashed", color="green", weight=3]; 13.92/5.40 1253[label="Pos (primMulNat xy2310 xy26000)",fontsize=16,color="green",shape="box"];1253 -> 1257[label="",style="dashed", color="green", weight=3]; 13.92/5.40 1254[label="primMulNat xy2310 xy26000",fontsize=16,color="burlywood",shape="triangle"];1556[label="xy2310/Succ xy23100",fontsize=10,color="white",style="solid",shape="box"];1254 -> 1556[label="",style="solid", color="burlywood", weight=9]; 13.92/5.40 1556 -> 1258[label="",style="solid", color="burlywood", weight=3]; 13.92/5.40 1557[label="xy2310/Zero",fontsize=10,color="white",style="solid",shape="box"];1254 -> 1557[label="",style="solid", color="burlywood", weight=9]; 13.92/5.40 1557 -> 1259[label="",style="solid", color="burlywood", weight=3]; 13.92/5.40 1255 -> 1254[label="",style="dashed", color="red", weight=0]; 13.92/5.40 1255[label="primMulNat xy2310 xy26000",fontsize=16,color="magenta"];1255 -> 1260[label="",style="dashed", color="magenta", weight=3]; 13.92/5.40 1256 -> 1254[label="",style="dashed", color="red", weight=0]; 13.92/5.40 1256[label="primMulNat xy2310 xy26000",fontsize=16,color="magenta"];1256 -> 1261[label="",style="dashed", color="magenta", weight=3]; 13.92/5.40 1257 -> 1254[label="",style="dashed", color="red", weight=0]; 13.92/5.40 1257[label="primMulNat xy2310 xy26000",fontsize=16,color="magenta"];1257 -> 1262[label="",style="dashed", color="magenta", weight=3]; 13.92/5.40 1257 -> 1263[label="",style="dashed", color="magenta", weight=3]; 13.92/5.40 1258[label="primMulNat (Succ xy23100) xy26000",fontsize=16,color="burlywood",shape="box"];1558[label="xy26000/Succ xy260000",fontsize=10,color="white",style="solid",shape="box"];1258 -> 1558[label="",style="solid", color="burlywood", weight=9]; 13.92/5.40 1558 -> 1264[label="",style="solid", color="burlywood", weight=3]; 13.92/5.40 1559[label="xy26000/Zero",fontsize=10,color="white",style="solid",shape="box"];1258 -> 1559[label="",style="solid", color="burlywood", weight=9]; 13.92/5.40 1559 -> 1265[label="",style="solid", color="burlywood", weight=3]; 13.92/5.40 1259[label="primMulNat Zero xy26000",fontsize=16,color="burlywood",shape="box"];1560[label="xy26000/Succ xy260000",fontsize=10,color="white",style="solid",shape="box"];1259 -> 1560[label="",style="solid", color="burlywood", weight=9]; 13.92/5.40 1560 -> 1266[label="",style="solid", color="burlywood", weight=3]; 13.92/5.40 1561[label="xy26000/Zero",fontsize=10,color="white",style="solid",shape="box"];1259 -> 1561[label="",style="solid", color="burlywood", weight=9]; 13.92/5.40 1561 -> 1267[label="",style="solid", color="burlywood", weight=3]; 13.92/5.40 1260[label="xy26000",fontsize=16,color="green",shape="box"];1261[label="xy2310",fontsize=16,color="green",shape="box"];1262[label="xy2310",fontsize=16,color="green",shape="box"];1263[label="xy26000",fontsize=16,color="green",shape="box"];1264[label="primMulNat (Succ xy23100) (Succ xy260000)",fontsize=16,color="black",shape="box"];1264 -> 1268[label="",style="solid", color="black", weight=3]; 13.92/5.40 1265[label="primMulNat (Succ xy23100) Zero",fontsize=16,color="black",shape="box"];1265 -> 1269[label="",style="solid", color="black", weight=3]; 13.92/5.40 1266[label="primMulNat Zero (Succ xy260000)",fontsize=16,color="black",shape="box"];1266 -> 1270[label="",style="solid", color="black", weight=3]; 13.92/5.40 1267[label="primMulNat Zero Zero",fontsize=16,color="black",shape="box"];1267 -> 1271[label="",style="solid", color="black", weight=3]; 13.92/5.40 1268 -> 1272[label="",style="dashed", color="red", weight=0]; 13.92/5.40 1268[label="primPlusNat (primMulNat xy23100 (Succ xy260000)) (Succ xy260000)",fontsize=16,color="magenta"];1268 -> 1273[label="",style="dashed", color="magenta", weight=3]; 13.92/5.40 1269[label="Zero",fontsize=16,color="green",shape="box"];1270[label="Zero",fontsize=16,color="green",shape="box"];1271[label="Zero",fontsize=16,color="green",shape="box"];1273 -> 1254[label="",style="dashed", color="red", weight=0]; 13.92/5.40 1273[label="primMulNat xy23100 (Succ xy260000)",fontsize=16,color="magenta"];1273 -> 1274[label="",style="dashed", color="magenta", weight=3]; 13.92/5.40 1273 -> 1275[label="",style="dashed", color="magenta", weight=3]; 13.92/5.40 1272[label="primPlusNat xy53 (Succ xy260000)",fontsize=16,color="burlywood",shape="triangle"];1562[label="xy53/Succ xy530",fontsize=10,color="white",style="solid",shape="box"];1272 -> 1562[label="",style="solid", color="burlywood", weight=9]; 13.92/5.40 1562 -> 1276[label="",style="solid", color="burlywood", weight=3]; 13.92/5.40 1563[label="xy53/Zero",fontsize=10,color="white",style="solid",shape="box"];1272 -> 1563[label="",style="solid", color="burlywood", weight=9]; 13.92/5.40 1563 -> 1277[label="",style="solid", color="burlywood", weight=3]; 13.92/5.40 1274[label="xy23100",fontsize=16,color="green",shape="box"];1275[label="Succ xy260000",fontsize=16,color="green",shape="box"];1276[label="primPlusNat (Succ xy530) (Succ xy260000)",fontsize=16,color="black",shape="box"];1276 -> 1278[label="",style="solid", color="black", weight=3]; 13.92/5.40 1277[label="primPlusNat Zero (Succ xy260000)",fontsize=16,color="black",shape="box"];1277 -> 1279[label="",style="solid", color="black", weight=3]; 13.92/5.40 1278[label="Succ (Succ (primPlusNat xy530 xy260000))",fontsize=16,color="green",shape="box"];1278 -> 1280[label="",style="dashed", color="green", weight=3]; 13.92/5.40 1279[label="Succ xy260000",fontsize=16,color="green",shape="box"];1280[label="primPlusNat xy530 xy260000",fontsize=16,color="burlywood",shape="triangle"];1564[label="xy530/Succ xy5300",fontsize=10,color="white",style="solid",shape="box"];1280 -> 1564[label="",style="solid", color="burlywood", weight=9]; 13.92/5.40 1564 -> 1281[label="",style="solid", color="burlywood", weight=3]; 13.92/5.40 1565[label="xy530/Zero",fontsize=10,color="white",style="solid",shape="box"];1280 -> 1565[label="",style="solid", color="burlywood", weight=9]; 13.92/5.40 1565 -> 1282[label="",style="solid", color="burlywood", weight=3]; 13.92/5.40 1281[label="primPlusNat (Succ xy5300) xy260000",fontsize=16,color="burlywood",shape="box"];1566[label="xy260000/Succ xy2600000",fontsize=10,color="white",style="solid",shape="box"];1281 -> 1566[label="",style="solid", color="burlywood", weight=9]; 13.92/5.40 1566 -> 1283[label="",style="solid", color="burlywood", weight=3]; 13.92/5.40 1567[label="xy260000/Zero",fontsize=10,color="white",style="solid",shape="box"];1281 -> 1567[label="",style="solid", color="burlywood", weight=9]; 13.92/5.40 1567 -> 1284[label="",style="solid", color="burlywood", weight=3]; 13.92/5.40 1282[label="primPlusNat Zero xy260000",fontsize=16,color="burlywood",shape="box"];1568[label="xy260000/Succ xy2600000",fontsize=10,color="white",style="solid",shape="box"];1282 -> 1568[label="",style="solid", color="burlywood", weight=9]; 13.92/5.40 1568 -> 1285[label="",style="solid", color="burlywood", weight=3]; 13.92/5.40 1569[label="xy260000/Zero",fontsize=10,color="white",style="solid",shape="box"];1282 -> 1569[label="",style="solid", color="burlywood", weight=9]; 13.92/5.40 1569 -> 1286[label="",style="solid", color="burlywood", weight=3]; 13.92/5.40 1283[label="primPlusNat (Succ xy5300) (Succ xy2600000)",fontsize=16,color="black",shape="box"];1283 -> 1287[label="",style="solid", color="black", weight=3]; 13.92/5.40 1284[label="primPlusNat (Succ xy5300) Zero",fontsize=16,color="black",shape="box"];1284 -> 1288[label="",style="solid", color="black", weight=3]; 13.92/5.40 1285[label="primPlusNat Zero (Succ xy2600000)",fontsize=16,color="black",shape="box"];1285 -> 1289[label="",style="solid", color="black", weight=3]; 13.92/5.40 1286[label="primPlusNat Zero Zero",fontsize=16,color="black",shape="box"];1286 -> 1290[label="",style="solid", color="black", weight=3]; 13.92/5.40 1287[label="Succ (Succ (primPlusNat xy5300 xy2600000))",fontsize=16,color="green",shape="box"];1287 -> 1291[label="",style="dashed", color="green", weight=3]; 13.92/5.40 1288[label="Succ xy5300",fontsize=16,color="green",shape="box"];1289[label="Succ xy2600000",fontsize=16,color="green",shape="box"];1290[label="Zero",fontsize=16,color="green",shape="box"];1291 -> 1280[label="",style="dashed", color="red", weight=0]; 13.92/5.40 1291[label="primPlusNat xy5300 xy2600000",fontsize=16,color="magenta"];1291 -> 1292[label="",style="dashed", color="magenta", weight=3]; 13.92/5.40 1291 -> 1293[label="",style="dashed", color="magenta", weight=3]; 13.92/5.40 1292[label="xy5300",fontsize=16,color="green",shape="box"];1293[label="xy2600000",fontsize=16,color="green",shape="box"];} 13.92/5.40 13.92/5.40 ---------------------------------------- 13.92/5.40 13.92/5.40 (6) 13.92/5.40 Complex Obligation (AND) 13.92/5.40 13.92/5.40 ---------------------------------------- 13.92/5.40 13.92/5.40 (7) 13.92/5.40 Obligation: 13.92/5.40 Q DP problem: 13.92/5.40 The TRS P consists of the following rules: 13.92/5.40 13.92/5.40 new_isPrefixOf1(xy22, xy23, :(xy240, xy241), xy25, ba) -> new_isPrefixOf1(new_flip(xy22, xy23, ba), xy240, xy241, xy25, ba) 13.92/5.40 13.92/5.40 The TRS R consists of the following rules: 13.92/5.40 13.92/5.40 new_flip(xy22, xy23, ba) -> :(xy23, xy22) 13.92/5.40 13.92/5.40 The set Q consists of the following terms: 13.92/5.40 13.92/5.40 new_flip(x0, x1, x2) 13.92/5.40 13.92/5.40 We have to consider all minimal (P,Q,R)-chains. 13.92/5.40 ---------------------------------------- 13.92/5.40 13.92/5.40 (8) TransformationProof (EQUIVALENT) 13.92/5.40 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]: 13.92/5.40 13.92/5.40 (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)) 13.92/5.40 13.92/5.40 13.92/5.40 ---------------------------------------- 13.92/5.40 13.92/5.40 (9) 13.92/5.40 Obligation: 13.92/5.40 Q DP problem: 13.92/5.40 The TRS P consists of the following rules: 13.92/5.40 13.92/5.40 new_isPrefixOf1(xy22, xy23, :(xy240, xy241), xy25, ba) -> new_isPrefixOf1(:(xy23, xy22), xy240, xy241, xy25, ba) 13.92/5.40 13.92/5.40 The TRS R consists of the following rules: 13.92/5.40 13.92/5.40 new_flip(xy22, xy23, ba) -> :(xy23, xy22) 13.92/5.40 13.92/5.40 The set Q consists of the following terms: 13.92/5.40 13.92/5.40 new_flip(x0, x1, x2) 13.92/5.40 13.92/5.40 We have to consider all minimal (P,Q,R)-chains. 13.92/5.40 ---------------------------------------- 13.92/5.40 13.92/5.40 (10) UsableRulesProof (EQUIVALENT) 13.92/5.40 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. 13.92/5.40 ---------------------------------------- 13.92/5.40 13.92/5.40 (11) 13.92/5.40 Obligation: 13.92/5.40 Q DP problem: 13.92/5.40 The TRS P consists of the following rules: 13.92/5.40 13.92/5.40 new_isPrefixOf1(xy22, xy23, :(xy240, xy241), xy25, ba) -> new_isPrefixOf1(:(xy23, xy22), xy240, xy241, xy25, ba) 13.92/5.40 13.92/5.40 R is empty. 13.92/5.40 The set Q consists of the following terms: 13.92/5.40 13.92/5.40 new_flip(x0, x1, x2) 13.92/5.40 13.92/5.40 We have to consider all minimal (P,Q,R)-chains. 13.92/5.40 ---------------------------------------- 13.92/5.40 13.92/5.40 (12) QReductionProof (EQUIVALENT) 13.92/5.40 We deleted the following terms from Q as each root-symbol of these terms does neither occur in P nor in R.[THIEMANN]. 13.92/5.40 13.92/5.40 new_flip(x0, x1, x2) 13.92/5.40 13.92/5.40 13.92/5.40 ---------------------------------------- 13.92/5.40 13.92/5.40 (13) 13.92/5.40 Obligation: 13.92/5.40 Q DP problem: 13.92/5.40 The TRS P consists of the following rules: 13.92/5.40 13.92/5.40 new_isPrefixOf1(xy22, xy23, :(xy240, xy241), xy25, ba) -> new_isPrefixOf1(:(xy23, xy22), xy240, xy241, xy25, ba) 13.92/5.40 13.92/5.40 R is empty. 13.92/5.40 Q is empty. 13.92/5.40 We have to consider all minimal (P,Q,R)-chains. 13.92/5.40 ---------------------------------------- 13.92/5.40 13.92/5.40 (14) QDPSizeChangeProof (EQUIVALENT) 13.92/5.40 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. 13.92/5.40 13.92/5.40 From the DPs we obtained the following set of size-change graphs: 13.92/5.40 *new_isPrefixOf1(xy22, xy23, :(xy240, xy241), xy25, ba) -> new_isPrefixOf1(:(xy23, xy22), xy240, xy241, xy25, ba) 13.92/5.40 The graph contains the following edges 3 > 2, 3 > 3, 4 >= 4, 5 >= 5 13.92/5.40 13.92/5.40 13.92/5.40 ---------------------------------------- 13.92/5.40 13.92/5.40 (15) 13.92/5.40 YES 13.92/5.40 13.92/5.40 ---------------------------------------- 13.92/5.40 13.92/5.40 (16) 13.92/5.40 Obligation: 13.92/5.40 Q DP problem: 13.92/5.40 The TRS P consists of the following rules: 13.92/5.40 13.92/5.40 new_esEs2(Just(xy230), Just(xy2600), app(ty_[], bbd)) -> new_esEs1(xy230, xy2600, bbd) 13.92/5.40 new_esEs3(Left(xy230), Left(xy2600), app(app(ty_Either, bch), bda), bcc) -> new_esEs3(xy230, xy2600, bch, bda) 13.92/5.40 new_esEs1(:(xy230, xy231), :(xy2600, xy2601), app(ty_Maybe, bac)) -> new_esEs2(xy230, xy2600, bac) 13.92/5.40 new_esEs0(@2(xy230, xy231), @2(xy2600, xy2601), gc, app(ty_Maybe, hb)) -> new_esEs2(xy231, xy2601, hb) 13.92/5.40 new_esEs3(Right(xy230), Right(xy2600), bdb, app(ty_[], bdh)) -> new_esEs1(xy230, xy2600, bdh) 13.92/5.40 new_esEs(@3(xy230, xy231, xy232), @3(xy2600, xy2601, xy2602), cd, bd, app(ty_[], ed)) -> new_esEs1(xy232, xy2602, ed) 13.92/5.40 new_esEs(@3(xy230, xy231, xy232), @3(xy2600, xy2601, xy2602), cd, bd, app(app(app(ty_@3, dg), dh), ea)) -> new_esEs(xy232, xy2602, dg, dh, ea) 13.92/5.40 new_esEs(@3(xy230, xy231, xy232), @3(xy2600, xy2601, xy2602), cd, app(app(ty_@2, da), db), be) -> new_esEs0(xy231, xy2601, da, db) 13.92/5.40 new_esEs(@3(xy230, xy231, xy232), @3(xy2600, xy2601, xy2602), app(ty_[], bh), bd, be) -> new_esEs1(xy230, xy2600, bh) 13.92/5.40 new_esEs0(@2(xy230, xy231), @2(xy2600, xy2601), app(app(app(ty_@3, eh), fa), fb), fc) -> new_esEs(xy230, xy2600, eh, fa, fb) 13.92/5.40 new_esEs0(@2(xy230, xy231), @2(xy2600, xy2601), gc, app(app(ty_@2, gg), gh)) -> new_esEs0(xy231, xy2601, gg, gh) 13.92/5.40 new_esEs2(Just(xy230), Just(xy2600), app(app(ty_@2, bbb), bbc)) -> new_esEs0(xy230, xy2600, bbb, bbc) 13.92/5.40 new_esEs(@3(xy230, xy231, xy232), @3(xy2600, xy2601, xy2602), app(ty_Maybe, ca), bd, be) -> new_esEs2(xy230, xy2600, ca) 13.92/5.40 new_esEs(@3(xy230, xy231, xy232), @3(xy2600, xy2601, xy2602), cd, app(ty_[], dc), be) -> new_esEs1(xy231, xy2601, dc) 13.92/5.40 new_esEs0(@2(xy230, xy231), @2(xy2600, xy2601), app(app(ty_Either, ga), gb), fc) -> new_esEs3(xy230, xy2600, ga, gb) 13.92/5.40 new_esEs1(:(xy230, xy231), :(xy2600, xy2601), app(app(app(ty_@3, he), hf), hg)) -> new_esEs(xy230, xy2600, he, hf, hg) 13.92/5.40 new_esEs2(Just(xy230), Just(xy2600), app(ty_Maybe, bbe)) -> new_esEs2(xy230, xy2600, bbe) 13.92/5.40 new_esEs0(@2(xy230, xy231), @2(xy2600, xy2601), app(ty_[], fg), fc) -> new_esEs1(xy230, xy2600, fg) 13.92/5.40 new_esEs1(:(xy230, xy231), :(xy2600, xy2601), app(app(ty_Either, bad), bae)) -> new_esEs3(xy230, xy2600, bad, bae) 13.92/5.40 new_esEs(@3(xy230, xy231, xy232), @3(xy2600, xy2601, xy2602), app(app(ty_Either, cb), cc), bd, be) -> new_esEs3(xy230, xy2600, cb, cc) 13.92/5.40 new_esEs3(Left(xy230), Left(xy2600), app(app(ty_@2, bcd), bce), bcc) -> new_esEs0(xy230, xy2600, bcd, bce) 13.92/5.40 new_esEs3(Right(xy230), Right(xy2600), bdb, app(app(ty_Either, beb), bec)) -> new_esEs3(xy230, xy2600, beb, bec) 13.92/5.40 new_esEs(@3(xy230, xy231, xy232), @3(xy2600, xy2601, xy2602), cd, app(app(app(ty_@3, ce), cf), cg), be) -> new_esEs(xy231, xy2601, ce, cf, cg) 13.92/5.40 new_esEs0(@2(xy230, xy231), @2(xy2600, xy2601), gc, app(app(ty_Either, hc), hd)) -> new_esEs3(xy231, xy2601, hc, hd) 13.92/5.40 new_esEs3(Left(xy230), Left(xy2600), app(app(app(ty_@3, bbh), bca), bcb), bcc) -> new_esEs(xy230, xy2600, bbh, bca, bcb) 13.92/5.40 new_esEs(@3(xy230, xy231, xy232), @3(xy2600, xy2601, xy2602), cd, app(app(ty_Either, de), df), be) -> new_esEs3(xy231, xy2601, de, df) 13.92/5.40 new_esEs0(@2(xy230, xy231), @2(xy2600, xy2601), gc, app(ty_[], ha)) -> new_esEs1(xy231, xy2601, ha) 13.92/5.40 new_esEs(@3(xy230, xy231, xy232), @3(xy2600, xy2601, xy2602), cd, bd, app(app(ty_@2, eb), ec)) -> new_esEs0(xy232, xy2602, eb, ec) 13.92/5.40 new_esEs2(Just(xy230), Just(xy2600), app(app(ty_Either, bbf), bbg)) -> new_esEs3(xy230, xy2600, bbf, bbg) 13.92/5.40 new_esEs3(Right(xy230), Right(xy2600), bdb, app(app(ty_@2, bdf), bdg)) -> new_esEs0(xy230, xy2600, bdf, bdg) 13.92/5.40 new_esEs1(:(xy230, xy231), :(xy2600, xy2601), app(app(ty_@2, hh), baa)) -> new_esEs0(xy230, xy2600, hh, baa) 13.92/5.40 new_esEs(@3(xy230, xy231, xy232), @3(xy2600, xy2601, xy2602), cd, bd, app(app(ty_Either, ef), eg)) -> new_esEs3(xy232, xy2602, ef, eg) 13.92/5.40 new_esEs3(Left(xy230), Left(xy2600), app(ty_Maybe, bcg), bcc) -> new_esEs2(xy230, xy2600, bcg) 13.92/5.40 new_esEs3(Right(xy230), Right(xy2600), bdb, app(app(app(ty_@3, bdc), bdd), bde)) -> new_esEs(xy230, xy2600, bdc, bdd, bde) 13.92/5.40 new_esEs3(Left(xy230), Left(xy2600), app(ty_[], bcf), bcc) -> new_esEs1(xy230, xy2600, bcf) 13.92/5.40 new_esEs1(:(xy230, xy231), :(xy2600, xy2601), baf) -> new_esEs1(xy231, xy2601, baf) 13.92/5.40 new_esEs(@3(xy230, xy231, xy232), @3(xy2600, xy2601, xy2602), app(app(app(ty_@3, ba), bb), bc), bd, be) -> new_esEs(xy230, xy2600, ba, bb, bc) 13.92/5.40 new_esEs1(:(xy230, xy231), :(xy2600, xy2601), app(ty_[], bab)) -> new_esEs1(xy230, xy2600, bab) 13.92/5.40 new_esEs(@3(xy230, xy231, xy232), @3(xy2600, xy2601, xy2602), cd, app(ty_Maybe, dd), be) -> new_esEs2(xy231, xy2601, dd) 13.92/5.40 new_esEs(@3(xy230, xy231, xy232), @3(xy2600, xy2601, xy2602), cd, bd, app(ty_Maybe, ee)) -> new_esEs2(xy232, xy2602, ee) 13.92/5.40 new_esEs0(@2(xy230, xy231), @2(xy2600, xy2601), app(app(ty_@2, fd), ff), fc) -> new_esEs0(xy230, xy2600, fd, ff) 13.92/5.40 new_esEs(@3(xy230, xy231, xy232), @3(xy2600, xy2601, xy2602), app(app(ty_@2, bf), bg), bd, be) -> new_esEs0(xy230, xy2600, bf, bg) 13.92/5.40 new_esEs0(@2(xy230, xy231), @2(xy2600, xy2601), gc, app(app(app(ty_@3, gd), ge), gf)) -> new_esEs(xy231, xy2601, gd, ge, gf) 13.92/5.40 new_esEs2(Just(xy230), Just(xy2600), app(app(app(ty_@3, bag), bah), bba)) -> new_esEs(xy230, xy2600, bag, bah, bba) 13.92/5.40 new_esEs0(@2(xy230, xy231), @2(xy2600, xy2601), app(ty_Maybe, fh), fc) -> new_esEs2(xy230, xy2600, fh) 13.92/5.40 new_esEs3(Right(xy230), Right(xy2600), bdb, app(ty_Maybe, bea)) -> new_esEs2(xy230, xy2600, bea) 13.92/5.40 13.92/5.40 R is empty. 13.92/5.40 Q is empty. 13.92/5.40 We have to consider all minimal (P,Q,R)-chains. 13.92/5.40 ---------------------------------------- 13.92/5.40 13.92/5.40 (17) QDPSizeChangeProof (EQUIVALENT) 13.92/5.40 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. 13.92/5.40 13.92/5.40 From the DPs we obtained the following set of size-change graphs: 13.92/5.40 *new_esEs1(:(xy230, xy231), :(xy2600, xy2601), app(ty_Maybe, bac)) -> new_esEs2(xy230, xy2600, bac) 13.92/5.40 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 13.92/5.40 13.92/5.40 13.92/5.40 *new_esEs1(:(xy230, xy231), :(xy2600, xy2601), app(app(ty_Either, bad), bae)) -> new_esEs3(xy230, xy2600, bad, bae) 13.92/5.40 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 13.92/5.40 13.92/5.40 13.92/5.40 *new_esEs2(Just(xy230), Just(xy2600), app(ty_Maybe, bbe)) -> new_esEs2(xy230, xy2600, bbe) 13.92/5.40 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 13.92/5.40 13.92/5.40 13.92/5.40 *new_esEs2(Just(xy230), Just(xy2600), app(app(ty_Either, bbf), bbg)) -> new_esEs3(xy230, xy2600, bbf, bbg) 13.92/5.40 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 13.92/5.40 13.92/5.40 13.92/5.40 *new_esEs2(Just(xy230), Just(xy2600), app(ty_[], bbd)) -> new_esEs1(xy230, xy2600, bbd) 13.92/5.40 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 13.92/5.40 13.92/5.40 13.92/5.40 *new_esEs1(:(xy230, xy231), :(xy2600, xy2601), app(app(ty_@2, hh), baa)) -> new_esEs0(xy230, xy2600, hh, baa) 13.92/5.40 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 13.92/5.40 13.92/5.40 13.92/5.40 *new_esEs1(:(xy230, xy231), :(xy2600, xy2601), app(app(app(ty_@3, he), hf), hg)) -> new_esEs(xy230, xy2600, he, hf, hg) 13.92/5.40 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 13.92/5.40 13.92/5.40 13.92/5.40 *new_esEs2(Just(xy230), Just(xy2600), app(app(ty_@2, bbb), bbc)) -> new_esEs0(xy230, xy2600, bbb, bbc) 13.92/5.40 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 13.92/5.40 13.92/5.40 13.92/5.40 *new_esEs2(Just(xy230), Just(xy2600), app(app(app(ty_@3, bag), bah), bba)) -> new_esEs(xy230, xy2600, bag, bah, bba) 13.92/5.40 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 13.92/5.40 13.92/5.40 13.92/5.40 *new_esEs1(:(xy230, xy231), :(xy2600, xy2601), baf) -> new_esEs1(xy231, xy2601, baf) 13.92/5.40 The graph contains the following edges 1 > 1, 2 > 2, 3 >= 3 13.92/5.40 13.92/5.40 13.92/5.40 *new_esEs1(:(xy230, xy231), :(xy2600, xy2601), app(ty_[], bab)) -> new_esEs1(xy230, xy2600, bab) 13.92/5.40 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 13.92/5.40 13.92/5.40 13.92/5.40 *new_esEs3(Left(xy230), Left(xy2600), app(ty_Maybe, bcg), bcc) -> new_esEs2(xy230, xy2600, bcg) 13.92/5.40 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 13.92/5.40 13.92/5.40 13.92/5.40 *new_esEs3(Right(xy230), Right(xy2600), bdb, app(ty_Maybe, bea)) -> new_esEs2(xy230, xy2600, bea) 13.92/5.40 The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 13.92/5.40 13.92/5.40 13.92/5.40 *new_esEs(@3(xy230, xy231, xy232), @3(xy2600, xy2601, xy2602), app(ty_Maybe, ca), bd, be) -> new_esEs2(xy230, xy2600, ca) 13.92/5.40 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 13.92/5.40 13.92/5.40 13.92/5.40 *new_esEs(@3(xy230, xy231, xy232), @3(xy2600, xy2601, xy2602), cd, app(ty_Maybe, dd), be) -> new_esEs2(xy231, xy2601, dd) 13.92/5.40 The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 13.92/5.40 13.92/5.40 13.92/5.40 *new_esEs(@3(xy230, xy231, xy232), @3(xy2600, xy2601, xy2602), cd, bd, app(ty_Maybe, ee)) -> new_esEs2(xy232, xy2602, ee) 13.92/5.40 The graph contains the following edges 1 > 1, 2 > 2, 5 > 3 13.92/5.40 13.92/5.40 13.92/5.40 *new_esEs0(@2(xy230, xy231), @2(xy2600, xy2601), gc, app(ty_Maybe, hb)) -> new_esEs2(xy231, xy2601, hb) 13.92/5.40 The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 13.92/5.40 13.92/5.40 13.92/5.40 *new_esEs0(@2(xy230, xy231), @2(xy2600, xy2601), app(ty_Maybe, fh), fc) -> new_esEs2(xy230, xy2600, fh) 13.92/5.40 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 13.92/5.40 13.92/5.40 13.92/5.40 *new_esEs3(Left(xy230), Left(xy2600), app(app(ty_Either, bch), bda), bcc) -> new_esEs3(xy230, xy2600, bch, bda) 13.92/5.40 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 13.92/5.40 13.92/5.40 13.92/5.40 *new_esEs3(Right(xy230), Right(xy2600), bdb, app(app(ty_Either, beb), bec)) -> new_esEs3(xy230, xy2600, beb, bec) 13.92/5.40 The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 13.92/5.40 13.92/5.40 13.92/5.40 *new_esEs3(Right(xy230), Right(xy2600), bdb, app(ty_[], bdh)) -> new_esEs1(xy230, xy2600, bdh) 13.92/5.40 The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 13.92/5.40 13.92/5.40 13.92/5.40 *new_esEs3(Left(xy230), Left(xy2600), app(ty_[], bcf), bcc) -> new_esEs1(xy230, xy2600, bcf) 13.92/5.40 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 13.92/5.40 13.92/5.40 13.92/5.40 *new_esEs3(Left(xy230), Left(xy2600), app(app(ty_@2, bcd), bce), bcc) -> new_esEs0(xy230, xy2600, bcd, bce) 13.92/5.40 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 13.92/5.40 13.92/5.40 13.92/5.40 *new_esEs3(Right(xy230), Right(xy2600), bdb, app(app(ty_@2, bdf), bdg)) -> new_esEs0(xy230, xy2600, bdf, bdg) 13.92/5.40 The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 13.92/5.40 13.92/5.40 13.92/5.40 *new_esEs3(Left(xy230), Left(xy2600), app(app(app(ty_@3, bbh), bca), bcb), bcc) -> new_esEs(xy230, xy2600, bbh, bca, bcb) 13.92/5.40 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 13.92/5.40 13.92/5.40 13.92/5.40 *new_esEs3(Right(xy230), Right(xy2600), bdb, app(app(app(ty_@3, bdc), bdd), bde)) -> new_esEs(xy230, xy2600, bdc, bdd, bde) 13.92/5.40 The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4, 4 > 5 13.92/5.40 13.92/5.40 13.92/5.40 *new_esEs(@3(xy230, xy231, xy232), @3(xy2600, xy2601, xy2602), app(app(ty_Either, cb), cc), bd, be) -> new_esEs3(xy230, xy2600, cb, cc) 13.92/5.40 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 13.92/5.40 13.92/5.40 13.92/5.40 *new_esEs(@3(xy230, xy231, xy232), @3(xy2600, xy2601, xy2602), cd, app(app(ty_Either, de), df), be) -> new_esEs3(xy231, xy2601, de, df) 13.92/5.40 The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 13.92/5.40 13.92/5.40 13.92/5.40 *new_esEs(@3(xy230, xy231, xy232), @3(xy2600, xy2601, xy2602), cd, bd, app(app(ty_Either, ef), eg)) -> new_esEs3(xy232, xy2602, ef, eg) 13.92/5.40 The graph contains the following edges 1 > 1, 2 > 2, 5 > 3, 5 > 4 13.92/5.40 13.92/5.40 13.92/5.40 *new_esEs0(@2(xy230, xy231), @2(xy2600, xy2601), app(app(ty_Either, ga), gb), fc) -> new_esEs3(xy230, xy2600, ga, gb) 13.92/5.40 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 13.92/5.40 13.92/5.40 13.92/5.40 *new_esEs0(@2(xy230, xy231), @2(xy2600, xy2601), gc, app(app(ty_Either, hc), hd)) -> new_esEs3(xy231, xy2601, hc, hd) 13.92/5.40 The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 13.92/5.40 13.92/5.40 13.92/5.40 *new_esEs(@3(xy230, xy231, xy232), @3(xy2600, xy2601, xy2602), cd, bd, app(ty_[], ed)) -> new_esEs1(xy232, xy2602, ed) 14.00/5.40 The graph contains the following edges 1 > 1, 2 > 2, 5 > 3 14.00/5.40 14.00/5.40 14.00/5.40 *new_esEs(@3(xy230, xy231, xy232), @3(xy2600, xy2601, xy2602), app(ty_[], bh), bd, be) -> new_esEs1(xy230, xy2600, bh) 14.00/5.40 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 14.00/5.40 14.00/5.40 14.00/5.40 *new_esEs(@3(xy230, xy231, xy232), @3(xy2600, xy2601, xy2602), cd, app(ty_[], dc), be) -> new_esEs1(xy231, xy2601, dc) 14.00/5.40 The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 14.00/5.40 14.00/5.40 14.00/5.40 *new_esEs0(@2(xy230, xy231), @2(xy2600, xy2601), app(ty_[], fg), fc) -> new_esEs1(xy230, xy2600, fg) 14.00/5.40 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 14.00/5.40 14.00/5.40 14.00/5.40 *new_esEs0(@2(xy230, xy231), @2(xy2600, xy2601), gc, app(ty_[], ha)) -> new_esEs1(xy231, xy2601, ha) 14.00/5.40 The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 14.00/5.40 14.00/5.40 14.00/5.40 *new_esEs(@3(xy230, xy231, xy232), @3(xy2600, xy2601, xy2602), cd, app(app(ty_@2, da), db), be) -> new_esEs0(xy231, xy2601, da, db) 14.00/5.40 The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 14.00/5.40 14.00/5.40 14.00/5.40 *new_esEs(@3(xy230, xy231, xy232), @3(xy2600, xy2601, xy2602), cd, bd, app(app(ty_@2, eb), ec)) -> new_esEs0(xy232, xy2602, eb, ec) 14.00/5.40 The graph contains the following edges 1 > 1, 2 > 2, 5 > 3, 5 > 4 14.00/5.40 14.00/5.40 14.00/5.40 *new_esEs(@3(xy230, xy231, xy232), @3(xy2600, xy2601, xy2602), app(app(ty_@2, bf), bg), bd, be) -> new_esEs0(xy230, xy2600, bf, bg) 14.00/5.40 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 14.00/5.40 14.00/5.40 14.00/5.40 *new_esEs0(@2(xy230, xy231), @2(xy2600, xy2601), gc, app(app(ty_@2, gg), gh)) -> new_esEs0(xy231, xy2601, gg, gh) 14.00/5.40 The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 14.00/5.40 14.00/5.40 14.00/5.40 *new_esEs0(@2(xy230, xy231), @2(xy2600, xy2601), app(app(ty_@2, fd), ff), fc) -> new_esEs0(xy230, xy2600, fd, ff) 14.00/5.40 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 14.00/5.40 14.00/5.40 14.00/5.40 *new_esEs(@3(xy230, xy231, xy232), @3(xy2600, xy2601, xy2602), cd, bd, app(app(app(ty_@3, dg), dh), ea)) -> new_esEs(xy232, xy2602, dg, dh, ea) 14.00/5.40 The graph contains the following edges 1 > 1, 2 > 2, 5 > 3, 5 > 4, 5 > 5 14.00/5.40 14.00/5.40 14.00/5.40 *new_esEs(@3(xy230, xy231, xy232), @3(xy2600, xy2601, xy2602), cd, app(app(app(ty_@3, ce), cf), cg), be) -> new_esEs(xy231, xy2601, ce, cf, cg) 14.00/5.40 The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4, 4 > 5 14.00/5.40 14.00/5.40 14.00/5.40 *new_esEs(@3(xy230, xy231, xy232), @3(xy2600, xy2601, xy2602), app(app(app(ty_@3, ba), bb), bc), bd, be) -> new_esEs(xy230, xy2600, ba, bb, bc) 14.00/5.40 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 14.00/5.40 14.00/5.40 14.00/5.40 *new_esEs0(@2(xy230, xy231), @2(xy2600, xy2601), app(app(app(ty_@3, eh), fa), fb), fc) -> new_esEs(xy230, xy2600, eh, fa, fb) 14.00/5.40 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 14.00/5.40 14.00/5.40 14.00/5.40 *new_esEs0(@2(xy230, xy231), @2(xy2600, xy2601), gc, app(app(app(ty_@3, gd), ge), gf)) -> new_esEs(xy231, xy2601, gd, ge, gf) 14.00/5.40 The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4, 4 > 5 14.00/5.40 14.00/5.40 14.00/5.40 ---------------------------------------- 14.00/5.40 14.00/5.40 (18) 14.00/5.40 YES 14.00/5.40 14.00/5.40 ---------------------------------------- 14.00/5.40 14.00/5.40 (19) 14.00/5.40 Obligation: 14.00/5.40 Q DP problem: 14.00/5.40 The TRS P consists of the following rules: 14.00/5.40 14.00/5.40 new_isPrefixOf0(xy23, xy22, xy26, :(xy2510, xy2511), ba) -> new_isPrefixOf0(xy23, xy22, new_flip(xy26, xy2510, ba), xy2511, ba) 14.00/5.40 14.00/5.40 The TRS R consists of the following rules: 14.00/5.40 14.00/5.40 new_flip(xy22, xy23, ba) -> :(xy23, xy22) 14.00/5.40 14.00/5.40 The set Q consists of the following terms: 14.00/5.40 14.00/5.40 new_flip(x0, x1, x2) 14.00/5.40 14.00/5.40 We have to consider all minimal (P,Q,R)-chains. 14.00/5.40 ---------------------------------------- 14.00/5.40 14.00/5.40 (20) TransformationProof (EQUIVALENT) 14.00/5.40 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]: 14.00/5.40 14.00/5.40 (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)) 14.00/5.40 14.00/5.40 14.00/5.40 ---------------------------------------- 14.00/5.40 14.00/5.40 (21) 14.00/5.40 Obligation: 14.00/5.40 Q DP problem: 14.00/5.40 The TRS P consists of the following rules: 14.00/5.40 14.00/5.40 new_isPrefixOf0(xy23, xy22, xy26, :(xy2510, xy2511), ba) -> new_isPrefixOf0(xy23, xy22, :(xy2510, xy26), xy2511, ba) 14.00/5.40 14.00/5.40 The TRS R consists of the following rules: 14.00/5.40 14.00/5.40 new_flip(xy22, xy23, ba) -> :(xy23, xy22) 14.00/5.40 14.00/5.40 The set Q consists of the following terms: 14.00/5.40 14.00/5.40 new_flip(x0, x1, x2) 14.00/5.40 14.00/5.40 We have to consider all minimal (P,Q,R)-chains. 14.00/5.40 ---------------------------------------- 14.00/5.40 14.00/5.40 (22) UsableRulesProof (EQUIVALENT) 14.00/5.40 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. 14.00/5.40 ---------------------------------------- 14.00/5.40 14.00/5.40 (23) 14.00/5.40 Obligation: 14.00/5.40 Q DP problem: 14.00/5.40 The TRS P consists of the following rules: 14.00/5.40 14.00/5.40 new_isPrefixOf0(xy23, xy22, xy26, :(xy2510, xy2511), ba) -> new_isPrefixOf0(xy23, xy22, :(xy2510, xy26), xy2511, ba) 14.00/5.40 14.00/5.40 R is empty. 14.00/5.40 The set Q consists of the following terms: 14.00/5.40 14.00/5.40 new_flip(x0, x1, x2) 14.00/5.40 14.00/5.40 We have to consider all minimal (P,Q,R)-chains. 14.00/5.40 ---------------------------------------- 14.00/5.40 14.00/5.40 (24) QReductionProof (EQUIVALENT) 14.00/5.40 We deleted the following terms from Q as each root-symbol of these terms does neither occur in P nor in R.[THIEMANN]. 14.00/5.40 14.00/5.40 new_flip(x0, x1, x2) 14.00/5.40 14.00/5.40 14.00/5.40 ---------------------------------------- 14.00/5.40 14.00/5.40 (25) 14.00/5.40 Obligation: 14.00/5.40 Q DP problem: 14.00/5.40 The TRS P consists of the following rules: 14.00/5.40 14.00/5.40 new_isPrefixOf0(xy23, xy22, xy26, :(xy2510, xy2511), ba) -> new_isPrefixOf0(xy23, xy22, :(xy2510, xy26), xy2511, ba) 14.00/5.40 14.00/5.40 R is empty. 14.00/5.40 Q is empty. 14.00/5.40 We have to consider all minimal (P,Q,R)-chains. 14.00/5.40 ---------------------------------------- 14.00/5.40 14.00/5.40 (26) QDPSizeChangeProof (EQUIVALENT) 14.00/5.40 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. 14.00/5.40 14.00/5.40 From the DPs we obtained the following set of size-change graphs: 14.00/5.40 *new_isPrefixOf0(xy23, xy22, xy26, :(xy2510, xy2511), ba) -> new_isPrefixOf0(xy23, xy22, :(xy2510, xy26), xy2511, ba) 14.00/5.40 The graph contains the following edges 1 >= 1, 2 >= 2, 4 > 4, 5 >= 5 14.00/5.40 14.00/5.40 14.00/5.40 ---------------------------------------- 14.00/5.40 14.00/5.40 (27) 14.00/5.40 YES 14.00/5.40 14.00/5.40 ---------------------------------------- 14.00/5.40 14.00/5.40 (28) 14.00/5.40 Obligation: 14.00/5.40 Q DP problem: 14.00/5.40 The TRS P consists of the following rules: 14.00/5.40 14.00/5.40 new_isPrefixOf(:(xy220, xy221), :(xy2610, xy2611), ba) -> new_isPrefixOf(xy221, xy2611, ba) 14.00/5.40 14.00/5.40 R is empty. 14.00/5.40 Q is empty. 14.00/5.40 We have to consider all minimal (P,Q,R)-chains. 14.00/5.40 ---------------------------------------- 14.00/5.40 14.00/5.40 (29) QDPSizeChangeProof (EQUIVALENT) 14.00/5.40 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. 14.00/5.40 14.00/5.40 From the DPs we obtained the following set of size-change graphs: 14.00/5.40 *new_isPrefixOf(:(xy220, xy221), :(xy2610, xy2611), ba) -> new_isPrefixOf(xy221, xy2611, ba) 14.00/5.40 The graph contains the following edges 1 > 1, 2 > 2, 3 >= 3 14.00/5.40 14.00/5.40 14.00/5.40 ---------------------------------------- 14.00/5.40 14.00/5.40 (30) 14.00/5.40 YES 14.00/5.40 14.00/5.40 ---------------------------------------- 14.00/5.40 14.00/5.40 (31) 14.00/5.40 Obligation: 14.00/5.40 Q DP problem: 14.00/5.40 The TRS P consists of the following rules: 14.00/5.40 14.00/5.40 new_primMulNat(Succ(xy23100), Succ(xy260000)) -> new_primMulNat(xy23100, Succ(xy260000)) 14.00/5.40 14.00/5.40 R is empty. 14.00/5.40 Q is empty. 14.00/5.40 We have to consider all minimal (P,Q,R)-chains. 14.00/5.40 ---------------------------------------- 14.00/5.40 14.00/5.40 (32) QDPSizeChangeProof (EQUIVALENT) 14.00/5.40 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. 14.00/5.40 14.00/5.40 From the DPs we obtained the following set of size-change graphs: 14.00/5.40 *new_primMulNat(Succ(xy23100), Succ(xy260000)) -> new_primMulNat(xy23100, Succ(xy260000)) 14.00/5.40 The graph contains the following edges 1 > 1, 2 >= 2 14.00/5.40 14.00/5.40 14.00/5.40 ---------------------------------------- 14.00/5.40 14.00/5.40 (33) 14.00/5.40 YES 14.00/5.40 14.00/5.40 ---------------------------------------- 14.00/5.40 14.00/5.40 (34) 14.00/5.40 Obligation: 14.00/5.40 Q DP problem: 14.00/5.40 The TRS P consists of the following rules: 14.00/5.40 14.00/5.40 new_primPlusNat(Succ(xy5300), Succ(xy2600000)) -> new_primPlusNat(xy5300, xy2600000) 14.00/5.40 14.00/5.40 R is empty. 14.00/5.40 Q is empty. 14.00/5.40 We have to consider all minimal (P,Q,R)-chains. 14.00/5.40 ---------------------------------------- 14.00/5.40 14.00/5.40 (35) QDPSizeChangeProof (EQUIVALENT) 14.00/5.40 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. 14.00/5.40 14.00/5.40 From the DPs we obtained the following set of size-change graphs: 14.00/5.40 *new_primPlusNat(Succ(xy5300), Succ(xy2600000)) -> new_primPlusNat(xy5300, xy2600000) 14.00/5.40 The graph contains the following edges 1 > 1, 2 > 2 14.00/5.40 14.00/5.40 14.00/5.40 ---------------------------------------- 14.00/5.40 14.00/5.40 (36) 14.00/5.40 YES 14.00/5.40 14.00/5.40 ---------------------------------------- 14.00/5.40 14.00/5.40 (37) 14.00/5.40 Obligation: 14.00/5.40 Q DP problem: 14.00/5.40 The TRS P consists of the following rules: 14.00/5.40 14.00/5.40 new_primEqNat(Succ(xy2300), Succ(xy26000)) -> new_primEqNat(xy2300, xy26000) 14.00/5.40 14.00/5.40 R is empty. 14.00/5.40 Q is empty. 14.00/5.40 We have to consider all minimal (P,Q,R)-chains. 14.00/5.40 ---------------------------------------- 14.00/5.40 14.00/5.40 (38) QDPSizeChangeProof (EQUIVALENT) 14.00/5.40 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. 14.00/5.40 14.00/5.40 From the DPs we obtained the following set of size-change graphs: 14.00/5.40 *new_primEqNat(Succ(xy2300), Succ(xy26000)) -> new_primEqNat(xy2300, xy26000) 14.00/5.40 The graph contains the following edges 1 > 1, 2 > 2 14.00/5.40 14.00/5.40 14.00/5.40 ---------------------------------------- 14.00/5.40 14.00/5.40 (39) 14.00/5.40 YES 14.03/5.45 EOF