/export/starexec/sandbox/solver/bin/starexec_run_standard /export/starexec/sandbox/benchmark/theBenchmark.hs /export/starexec/sandbox/output/output_files -------------------------------------------------------------------------------- YES proof of /export/starexec/sandbox/benchmark/theBenchmark.hs # AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty H-Termination with start terms of the given HASKELL could be proven: (0) HASKELL (1) BR [EQUIVALENT, 0 ms] (2) HASKELL (3) COR [EQUIVALENT, 15 ms] (4) HASKELL (5) Narrow [SOUND, 0 ms] (6) AND (7) QDP (8) TransformationProof [EQUIVALENT, 0 ms] (9) QDP (10) UsableRulesProof [EQUIVALENT, 0 ms] (11) QDP (12) QReductionProof [EQUIVALENT, 0 ms] (13) QDP (14) QDPSizeChangeProof [EQUIVALENT, 0 ms] (15) YES (16) QDP (17) TransformationProof [EQUIVALENT, 0 ms] (18) QDP (19) UsableRulesProof [EQUIVALENT, 0 ms] (20) QDP (21) QReductionProof [EQUIVALENT, 0 ms] (22) QDP (23) QDPSizeChangeProof [EQUIVALENT, 0 ms] (24) YES (25) QDP (26) QDPSizeChangeProof [EQUIVALENT, 0 ms] (27) YES (28) QDP (29) QDPSizeChangeProof [EQUIVALENT, 0 ms] (30) YES (31) QDP (32) QDPSizeChangeProof [EQUIVALENT, 26 ms] (33) YES (34) QDP (35) QDPSizeChangeProof [EQUIVALENT, 0 ms] (36) YES (37) QDP (38) QDPSizeChangeProof [EQUIVALENT, 0 ms] (39) YES ---------------------------------------- (0) Obligation: mainModule Main module Maybe where { import qualified List; import qualified Main; import qualified Prelude; } module List where { import qualified Main; import qualified Maybe; import qualified Prelude; isPrefixOf :: Eq a => [a] -> [a] -> Bool; isPrefixOf [] _ = True; isPrefixOf _ [] = False; isPrefixOf (x : xs) (y : ys) = x == y && isPrefixOf xs ys; isSuffixOf :: Eq a => [a] -> [a] -> Bool; isSuffixOf x y = reverse x `isPrefixOf` reverse y; } module Main where { import qualified List; import qualified Maybe; import qualified Prelude; } ---------------------------------------- (1) BR (EQUIVALENT) Replaced joker patterns by fresh variables and removed binding patterns. ---------------------------------------- (2) Obligation: mainModule Main module Maybe where { import qualified List; import qualified Main; import qualified Prelude; } module List where { import qualified Main; import qualified Maybe; import qualified Prelude; isPrefixOf :: Eq a => [a] -> [a] -> Bool; isPrefixOf [] xw = True; isPrefixOf xx [] = False; isPrefixOf (x : xs) (y : ys) = x == y && isPrefixOf xs ys; isSuffixOf :: Eq a => [a] -> [a] -> Bool; isSuffixOf x y = reverse x `isPrefixOf` reverse y; } module Main where { import qualified List; import qualified Maybe; import qualified Prelude; } ---------------------------------------- (3) COR (EQUIVALENT) Cond Reductions: The following Function with conditions "undefined |Falseundefined; " is transformed to "undefined = undefined1; " "undefined0 True = undefined; " "undefined1 = undefined0 False; " ---------------------------------------- (4) Obligation: mainModule Main module Maybe where { import qualified List; import qualified Main; import qualified Prelude; } module List where { import qualified Main; import qualified Maybe; import qualified Prelude; isPrefixOf :: Eq a => [a] -> [a] -> Bool; isPrefixOf [] xw = True; isPrefixOf xx [] = False; isPrefixOf (x : xs) (y : ys) = x == y && isPrefixOf xs ys; isSuffixOf :: Eq a => [a] -> [a] -> Bool; isSuffixOf x y = reverse x `isPrefixOf` reverse y; } module Main where { import qualified List; import qualified Maybe; import qualified Prelude; } ---------------------------------------- (5) Narrow (SOUND) Haskell To QDPs digraph dp_graph { node [outthreshold=100, inthreshold=100];1[label="List.isSuffixOf",fontsize=16,color="grey",shape="box"];1 -> 3[label="",style="dashed", color="grey", weight=3]; 3[label="List.isSuffixOf xy3",fontsize=16,color="grey",shape="box"];3 -> 4[label="",style="dashed", color="grey", weight=3]; 4[label="List.isSuffixOf xy3 xy4",fontsize=16,color="black",shape="triangle"];4 -> 5[label="",style="solid", color="black", weight=3]; 5[label="List.isPrefixOf (reverse xy3) (reverse xy4)",fontsize=16,color="black",shape="box"];5 -> 6[label="",style="solid", color="black", weight=3]; 6[label="List.isPrefixOf (foldl (flip (:)) [] xy3) (reverse xy4)",fontsize=16,color="burlywood",shape="box"];1513[label="xy3/xy30 : xy31",fontsize=10,color="white",style="solid",shape="box"];6 -> 1513[label="",style="solid", color="burlywood", weight=9]; 1513 -> 7[label="",style="solid", color="burlywood", weight=3]; 1514[label="xy3/[]",fontsize=10,color="white",style="solid",shape="box"];6 -> 1514[label="",style="solid", color="burlywood", weight=9]; 1514 -> 8[label="",style="solid", color="burlywood", weight=3]; 7[label="List.isPrefixOf (foldl (flip (:)) [] (xy30 : xy31)) (reverse xy4)",fontsize=16,color="black",shape="box"];7 -> 9[label="",style="solid", color="black", weight=3]; 8[label="List.isPrefixOf (foldl (flip (:)) [] []) (reverse xy4)",fontsize=16,color="black",shape="box"];8 -> 10[label="",style="solid", color="black", weight=3]; 9 -> 597[label="",style="dashed", color="red", weight=0]; 9[label="List.isPrefixOf (foldl (flip (:)) (flip (:) [] xy30) xy31) (reverse xy4)",fontsize=16,color="magenta"];9 -> 598[label="",style="dashed", color="magenta", weight=3]; 9 -> 599[label="",style="dashed", color="magenta", weight=3]; 9 -> 600[label="",style="dashed", color="magenta", weight=3]; 9 -> 601[label="",style="dashed", color="magenta", weight=3]; 10[label="List.isPrefixOf [] (reverse xy4)",fontsize=16,color="black",shape="box"];10 -> 13[label="",style="solid", color="black", weight=3]; 598[label="xy4",fontsize=16,color="green",shape="box"];599[label="xy30",fontsize=16,color="green",shape="box"];600[label="[]",fontsize=16,color="green",shape="box"];601[label="xy31",fontsize=16,color="green",shape="box"];597[label="List.isPrefixOf (foldl (flip (:)) (flip (:) xy53 xy54) xy55) (reverse xy56)",fontsize=16,color="burlywood",shape="triangle"];1515[label="xy55/xy550 : xy551",fontsize=10,color="white",style="solid",shape="box"];597 -> 1515[label="",style="solid", color="burlywood", weight=9]; 1515 -> 634[label="",style="solid", color="burlywood", weight=3]; 1516[label="xy55/[]",fontsize=10,color="white",style="solid",shape="box"];597 -> 1516[label="",style="solid", color="burlywood", weight=9]; 1516 -> 635[label="",style="solid", color="burlywood", weight=3]; 13[label="True",fontsize=16,color="green",shape="box"];634[label="List.isPrefixOf (foldl (flip (:)) (flip (:) xy53 xy54) (xy550 : xy551)) (reverse xy56)",fontsize=16,color="black",shape="box"];634 -> 636[label="",style="solid", color="black", weight=3]; 635[label="List.isPrefixOf (foldl (flip (:)) (flip (:) xy53 xy54) []) (reverse xy56)",fontsize=16,color="black",shape="box"];635 -> 637[label="",style="solid", color="black", weight=3]; 636 -> 597[label="",style="dashed", color="red", weight=0]; 636[label="List.isPrefixOf (foldl (flip (:)) (flip (:) (flip (:) xy53 xy54) xy550) xy551) (reverse xy56)",fontsize=16,color="magenta"];636 -> 638[label="",style="dashed", color="magenta", weight=3]; 636 -> 639[label="",style="dashed", color="magenta", weight=3]; 636 -> 640[label="",style="dashed", color="magenta", weight=3]; 637[label="List.isPrefixOf (flip (:) xy53 xy54) (reverse xy56)",fontsize=16,color="black",shape="box"];637 -> 641[label="",style="solid", color="black", weight=3]; 638[label="xy550",fontsize=16,color="green",shape="box"];639[label="flip (:) xy53 xy54",fontsize=16,color="black",shape="triangle"];639 -> 642[label="",style="solid", color="black", weight=3]; 640[label="xy551",fontsize=16,color="green",shape="box"];641[label="List.isPrefixOf ((:) xy54 xy53) (reverse xy56)",fontsize=16,color="black",shape="box"];641 -> 643[label="",style="solid", color="black", weight=3]; 642[label="(:) xy54 xy53",fontsize=16,color="green",shape="box"];643 -> 648[label="",style="dashed", color="red", weight=0]; 643[label="List.isPrefixOf ((:) xy54 xy53) (foldl (flip (:)) [] xy56)",fontsize=16,color="magenta"];643 -> 649[label="",style="dashed", color="magenta", weight=3]; 643 -> 650[label="",style="dashed", color="magenta", weight=3]; 649[label="[]",fontsize=16,color="green",shape="box"];650[label="xy56",fontsize=16,color="green",shape="box"];648[label="List.isPrefixOf ((:) xy54 xy53) (foldl (flip (:)) xy57 xy561)",fontsize=16,color="burlywood",shape="triangle"];1517[label="xy561/xy5610 : xy5611",fontsize=10,color="white",style="solid",shape="box"];648 -> 1517[label="",style="solid", color="burlywood", weight=9]; 1517 -> 652[label="",style="solid", color="burlywood", weight=3]; 1518[label="xy561/[]",fontsize=10,color="white",style="solid",shape="box"];648 -> 1518[label="",style="solid", color="burlywood", weight=9]; 1518 -> 653[label="",style="solid", color="burlywood", weight=3]; 652[label="List.isPrefixOf ((:) xy54 xy53) (foldl (flip (:)) xy57 (xy5610 : xy5611))",fontsize=16,color="black",shape="box"];652 -> 654[label="",style="solid", color="black", weight=3]; 653[label="List.isPrefixOf ((:) xy54 xy53) (foldl (flip (:)) xy57 [])",fontsize=16,color="black",shape="box"];653 -> 655[label="",style="solid", color="black", weight=3]; 654 -> 648[label="",style="dashed", color="red", weight=0]; 654[label="List.isPrefixOf ((:) xy54 xy53) (foldl (flip (:)) (flip (:) xy57 xy5610) xy5611)",fontsize=16,color="magenta"];654 -> 656[label="",style="dashed", color="magenta", weight=3]; 654 -> 657[label="",style="dashed", color="magenta", weight=3]; 655[label="List.isPrefixOf ((:) xy54 xy53) xy57",fontsize=16,color="burlywood",shape="box"];1519[label="xy57/xy570 : xy571",fontsize=10,color="white",style="solid",shape="box"];655 -> 1519[label="",style="solid", color="burlywood", weight=9]; 1519 -> 658[label="",style="solid", color="burlywood", weight=3]; 1520[label="xy57/[]",fontsize=10,color="white",style="solid",shape="box"];655 -> 1520[label="",style="solid", color="burlywood", weight=9]; 1520 -> 659[label="",style="solid", color="burlywood", weight=3]; 656 -> 639[label="",style="dashed", color="red", weight=0]; 656[label="flip (:) xy57 xy5610",fontsize=16,color="magenta"];656 -> 660[label="",style="dashed", color="magenta", weight=3]; 656 -> 661[label="",style="dashed", color="magenta", weight=3]; 657[label="xy5611",fontsize=16,color="green",shape="box"];658[label="List.isPrefixOf ((:) xy54 xy53) (xy570 : xy571)",fontsize=16,color="black",shape="box"];658 -> 662[label="",style="solid", color="black", weight=3]; 659[label="List.isPrefixOf ((:) xy54 xy53) []",fontsize=16,color="black",shape="box"];659 -> 663[label="",style="solid", color="black", weight=3]; 660[label="xy5610",fontsize=16,color="green",shape="box"];661[label="xy57",fontsize=16,color="green",shape="box"];662 -> 827[label="",style="dashed", color="red", weight=0]; 662[label="xy54 == xy570 && List.isPrefixOf xy53 xy571",fontsize=16,color="magenta"];662 -> 828[label="",style="dashed", color="magenta", weight=3]; 662 -> 829[label="",style="dashed", color="magenta", weight=3]; 663[label="False",fontsize=16,color="green",shape="box"];828[label="xy54 == xy570",fontsize=16,color="blue",shape="box"];1521[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];828 -> 1521[label="",style="solid", color="blue", weight=9]; 1521 -> 832[label="",style="solid", color="blue", weight=3]; 1522[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];828 -> 1522[label="",style="solid", color="blue", weight=9]; 1522 -> 833[label="",style="solid", color="blue", weight=3]; 1523[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];828 -> 1523[label="",style="solid", color="blue", weight=9]; 1523 -> 834[label="",style="solid", color="blue", weight=3]; 1524[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];828 -> 1524[label="",style="solid", color="blue", weight=9]; 1524 -> 835[label="",style="solid", color="blue", weight=3]; 1525[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];828 -> 1525[label="",style="solid", color="blue", weight=9]; 1525 -> 836[label="",style="solid", color="blue", weight=3]; 1526[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];828 -> 1526[label="",style="solid", color="blue", weight=9]; 1526 -> 837[label="",style="solid", color="blue", weight=3]; 1527[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];828 -> 1527[label="",style="solid", color="blue", weight=9]; 1527 -> 838[label="",style="solid", color="blue", weight=3]; 1528[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];828 -> 1528[label="",style="solid", color="blue", weight=9]; 1528 -> 839[label="",style="solid", color="blue", weight=3]; 1529[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];828 -> 1529[label="",style="solid", color="blue", weight=9]; 1529 -> 840[label="",style="solid", color="blue", weight=3]; 1530[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];828 -> 1530[label="",style="solid", color="blue", weight=9]; 1530 -> 841[label="",style="solid", color="blue", weight=3]; 1531[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];828 -> 1531[label="",style="solid", color="blue", weight=9]; 1531 -> 842[label="",style="solid", color="blue", weight=3]; 1532[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];828 -> 1532[label="",style="solid", color="blue", weight=9]; 1532 -> 843[label="",style="solid", color="blue", weight=3]; 1533[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];828 -> 1533[label="",style="solid", color="blue", weight=9]; 1533 -> 844[label="",style="solid", color="blue", weight=3]; 1534[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];828 -> 1534[label="",style="solid", color="blue", weight=9]; 1534 -> 845[label="",style="solid", color="blue", weight=3]; 829[label="List.isPrefixOf xy53 xy571",fontsize=16,color="burlywood",shape="triangle"];1535[label="xy53/xy530 : xy531",fontsize=10,color="white",style="solid",shape="box"];829 -> 1535[label="",style="solid", color="burlywood", weight=9]; 1535 -> 846[label="",style="solid", color="burlywood", weight=3]; 1536[label="xy53/[]",fontsize=10,color="white",style="solid",shape="box"];829 -> 1536[label="",style="solid", color="burlywood", weight=9]; 1536 -> 847[label="",style="solid", color="burlywood", weight=3]; 827[label="xy76 && xy77",fontsize=16,color="burlywood",shape="triangle"];1537[label="xy76/False",fontsize=10,color="white",style="solid",shape="box"];827 -> 1537[label="",style="solid", color="burlywood", weight=9]; 1537 -> 848[label="",style="solid", color="burlywood", weight=3]; 1538[label="xy76/True",fontsize=10,color="white",style="solid",shape="box"];827 -> 1538[label="",style="solid", color="burlywood", weight=9]; 1538 -> 849[label="",style="solid", color="burlywood", weight=3]; 832[label="xy54 == xy570",fontsize=16,color="burlywood",shape="triangle"];1539[label="xy54/False",fontsize=10,color="white",style="solid",shape="box"];832 -> 1539[label="",style="solid", color="burlywood", weight=9]; 1539 -> 850[label="",style="solid", color="burlywood", weight=3]; 1540[label="xy54/True",fontsize=10,color="white",style="solid",shape="box"];832 -> 1540[label="",style="solid", color="burlywood", weight=9]; 1540 -> 851[label="",style="solid", color="burlywood", weight=3]; 833[label="xy54 == xy570",fontsize=16,color="black",shape="triangle"];833 -> 852[label="",style="solid", color="black", weight=3]; 834[label="xy54 == xy570",fontsize=16,color="burlywood",shape="triangle"];1541[label="xy54/(xy540,xy541)",fontsize=10,color="white",style="solid",shape="box"];834 -> 1541[label="",style="solid", color="burlywood", weight=9]; 1541 -> 853[label="",style="solid", color="burlywood", weight=3]; 835[label="xy54 == xy570",fontsize=16,color="burlywood",shape="triangle"];1542[label="xy54/xy540 :% xy541",fontsize=10,color="white",style="solid",shape="box"];835 -> 1542[label="",style="solid", color="burlywood", weight=9]; 1542 -> 854[label="",style="solid", color="burlywood", weight=3]; 836[label="xy54 == xy570",fontsize=16,color="burlywood",shape="triangle"];1543[label="xy54/Integer xy540",fontsize=10,color="white",style="solid",shape="box"];836 -> 1543[label="",style="solid", color="burlywood", weight=9]; 1543 -> 855[label="",style="solid", color="burlywood", weight=3]; 837[label="xy54 == xy570",fontsize=16,color="burlywood",shape="triangle"];1544[label="xy54/Nothing",fontsize=10,color="white",style="solid",shape="box"];837 -> 1544[label="",style="solid", color="burlywood", weight=9]; 1544 -> 856[label="",style="solid", color="burlywood", weight=3]; 1545[label="xy54/Just xy540",fontsize=10,color="white",style="solid",shape="box"];837 -> 1545[label="",style="solid", color="burlywood", weight=9]; 1545 -> 857[label="",style="solid", color="burlywood", weight=3]; 838[label="xy54 == xy570",fontsize=16,color="burlywood",shape="triangle"];1546[label="xy54/()",fontsize=10,color="white",style="solid",shape="box"];838 -> 1546[label="",style="solid", color="burlywood", weight=9]; 1546 -> 858[label="",style="solid", color="burlywood", weight=3]; 839[label="xy54 == xy570",fontsize=16,color="burlywood",shape="triangle"];1547[label="xy54/LT",fontsize=10,color="white",style="solid",shape="box"];839 -> 1547[label="",style="solid", color="burlywood", weight=9]; 1547 -> 859[label="",style="solid", color="burlywood", weight=3]; 1548[label="xy54/EQ",fontsize=10,color="white",style="solid",shape="box"];839 -> 1548[label="",style="solid", color="burlywood", weight=9]; 1548 -> 860[label="",style="solid", color="burlywood", weight=3]; 1549[label="xy54/GT",fontsize=10,color="white",style="solid",shape="box"];839 -> 1549[label="",style="solid", color="burlywood", weight=9]; 1549 -> 861[label="",style="solid", color="burlywood", weight=3]; 840[label="xy54 == xy570",fontsize=16,color="burlywood",shape="triangle"];1550[label="xy54/xy540 : xy541",fontsize=10,color="white",style="solid",shape="box"];840 -> 1550[label="",style="solid", color="burlywood", weight=9]; 1550 -> 862[label="",style="solid", color="burlywood", weight=3]; 1551[label="xy54/[]",fontsize=10,color="white",style="solid",shape="box"];840 -> 1551[label="",style="solid", color="burlywood", weight=9]; 1551 -> 863[label="",style="solid", color="burlywood", weight=3]; 841[label="xy54 == xy570",fontsize=16,color="black",shape="triangle"];841 -> 864[label="",style="solid", color="black", weight=3]; 842[label="xy54 == xy570",fontsize=16,color="burlywood",shape="triangle"];1552[label="xy54/(xy540,xy541,xy542)",fontsize=10,color="white",style="solid",shape="box"];842 -> 1552[label="",style="solid", color="burlywood", weight=9]; 1552 -> 865[label="",style="solid", color="burlywood", weight=3]; 843[label="xy54 == xy570",fontsize=16,color="black",shape="triangle"];843 -> 866[label="",style="solid", color="black", weight=3]; 844[label="xy54 == xy570",fontsize=16,color="black",shape="triangle"];844 -> 867[label="",style="solid", color="black", weight=3]; 845[label="xy54 == xy570",fontsize=16,color="burlywood",shape="triangle"];1553[label="xy54/Left xy540",fontsize=10,color="white",style="solid",shape="box"];845 -> 1553[label="",style="solid", color="burlywood", weight=9]; 1553 -> 868[label="",style="solid", color="burlywood", weight=3]; 1554[label="xy54/Right xy540",fontsize=10,color="white",style="solid",shape="box"];845 -> 1554[label="",style="solid", color="burlywood", weight=9]; 1554 -> 869[label="",style="solid", color="burlywood", weight=3]; 846[label="List.isPrefixOf (xy530 : xy531) xy571",fontsize=16,color="burlywood",shape="box"];1555[label="xy571/xy5710 : xy5711",fontsize=10,color="white",style="solid",shape="box"];846 -> 1555[label="",style="solid", color="burlywood", weight=9]; 1555 -> 870[label="",style="solid", color="burlywood", weight=3]; 1556[label="xy571/[]",fontsize=10,color="white",style="solid",shape="box"];846 -> 1556[label="",style="solid", color="burlywood", weight=9]; 1556 -> 871[label="",style="solid", color="burlywood", weight=3]; 847[label="List.isPrefixOf [] xy571",fontsize=16,color="black",shape="box"];847 -> 872[label="",style="solid", color="black", weight=3]; 848[label="False && xy77",fontsize=16,color="black",shape="box"];848 -> 873[label="",style="solid", color="black", weight=3]; 849[label="True && xy77",fontsize=16,color="black",shape="box"];849 -> 874[label="",style="solid", color="black", weight=3]; 850[label="False == xy570",fontsize=16,color="burlywood",shape="box"];1557[label="xy570/False",fontsize=10,color="white",style="solid",shape="box"];850 -> 1557[label="",style="solid", color="burlywood", weight=9]; 1557 -> 875[label="",style="solid", color="burlywood", weight=3]; 1558[label="xy570/True",fontsize=10,color="white",style="solid",shape="box"];850 -> 1558[label="",style="solid", color="burlywood", weight=9]; 1558 -> 876[label="",style="solid", color="burlywood", weight=3]; 851[label="True == xy570",fontsize=16,color="burlywood",shape="box"];1559[label="xy570/False",fontsize=10,color="white",style="solid",shape="box"];851 -> 1559[label="",style="solid", color="burlywood", weight=9]; 1559 -> 877[label="",style="solid", color="burlywood", weight=3]; 1560[label="xy570/True",fontsize=10,color="white",style="solid",shape="box"];851 -> 1560[label="",style="solid", color="burlywood", weight=9]; 1560 -> 878[label="",style="solid", color="burlywood", weight=3]; 852[label="primEqChar xy54 xy570",fontsize=16,color="burlywood",shape="box"];1561[label="xy54/Char xy540",fontsize=10,color="white",style="solid",shape="box"];852 -> 1561[label="",style="solid", color="burlywood", weight=9]; 1561 -> 879[label="",style="solid", color="burlywood", weight=3]; 853[label="(xy540,xy541) == xy570",fontsize=16,color="burlywood",shape="box"];1562[label="xy570/(xy5700,xy5701)",fontsize=10,color="white",style="solid",shape="box"];853 -> 1562[label="",style="solid", color="burlywood", weight=9]; 1562 -> 880[label="",style="solid", color="burlywood", weight=3]; 854[label="xy540 :% xy541 == xy570",fontsize=16,color="burlywood",shape="box"];1563[label="xy570/xy5700 :% xy5701",fontsize=10,color="white",style="solid",shape="box"];854 -> 1563[label="",style="solid", color="burlywood", weight=9]; 1563 -> 881[label="",style="solid", color="burlywood", weight=3]; 855[label="Integer xy540 == xy570",fontsize=16,color="burlywood",shape="box"];1564[label="xy570/Integer xy5700",fontsize=10,color="white",style="solid",shape="box"];855 -> 1564[label="",style="solid", color="burlywood", weight=9]; 1564 -> 882[label="",style="solid", color="burlywood", weight=3]; 856[label="Nothing == xy570",fontsize=16,color="burlywood",shape="box"];1565[label="xy570/Nothing",fontsize=10,color="white",style="solid",shape="box"];856 -> 1565[label="",style="solid", color="burlywood", weight=9]; 1565 -> 883[label="",style="solid", color="burlywood", weight=3]; 1566[label="xy570/Just xy5700",fontsize=10,color="white",style="solid",shape="box"];856 -> 1566[label="",style="solid", color="burlywood", weight=9]; 1566 -> 884[label="",style="solid", color="burlywood", weight=3]; 857[label="Just xy540 == xy570",fontsize=16,color="burlywood",shape="box"];1567[label="xy570/Nothing",fontsize=10,color="white",style="solid",shape="box"];857 -> 1567[label="",style="solid", color="burlywood", weight=9]; 1567 -> 885[label="",style="solid", color="burlywood", weight=3]; 1568[label="xy570/Just xy5700",fontsize=10,color="white",style="solid",shape="box"];857 -> 1568[label="",style="solid", color="burlywood", weight=9]; 1568 -> 886[label="",style="solid", color="burlywood", weight=3]; 858[label="() == xy570",fontsize=16,color="burlywood",shape="box"];1569[label="xy570/()",fontsize=10,color="white",style="solid",shape="box"];858 -> 1569[label="",style="solid", color="burlywood", weight=9]; 1569 -> 887[label="",style="solid", color="burlywood", weight=3]; 859[label="LT == xy570",fontsize=16,color="burlywood",shape="box"];1570[label="xy570/LT",fontsize=10,color="white",style="solid",shape="box"];859 -> 1570[label="",style="solid", color="burlywood", weight=9]; 1570 -> 888[label="",style="solid", color="burlywood", weight=3]; 1571[label="xy570/EQ",fontsize=10,color="white",style="solid",shape="box"];859 -> 1571[label="",style="solid", color="burlywood", weight=9]; 1571 -> 889[label="",style="solid", color="burlywood", weight=3]; 1572[label="xy570/GT",fontsize=10,color="white",style="solid",shape="box"];859 -> 1572[label="",style="solid", color="burlywood", weight=9]; 1572 -> 890[label="",style="solid", color="burlywood", weight=3]; 860[label="EQ == xy570",fontsize=16,color="burlywood",shape="box"];1573[label="xy570/LT",fontsize=10,color="white",style="solid",shape="box"];860 -> 1573[label="",style="solid", color="burlywood", weight=9]; 1573 -> 891[label="",style="solid", color="burlywood", weight=3]; 1574[label="xy570/EQ",fontsize=10,color="white",style="solid",shape="box"];860 -> 1574[label="",style="solid", color="burlywood", weight=9]; 1574 -> 892[label="",style="solid", color="burlywood", weight=3]; 1575[label="xy570/GT",fontsize=10,color="white",style="solid",shape="box"];860 -> 1575[label="",style="solid", color="burlywood", weight=9]; 1575 -> 893[label="",style="solid", color="burlywood", weight=3]; 861[label="GT == xy570",fontsize=16,color="burlywood",shape="box"];1576[label="xy570/LT",fontsize=10,color="white",style="solid",shape="box"];861 -> 1576[label="",style="solid", color="burlywood", weight=9]; 1576 -> 894[label="",style="solid", color="burlywood", weight=3]; 1577[label="xy570/EQ",fontsize=10,color="white",style="solid",shape="box"];861 -> 1577[label="",style="solid", color="burlywood", weight=9]; 1577 -> 895[label="",style="solid", color="burlywood", weight=3]; 1578[label="xy570/GT",fontsize=10,color="white",style="solid",shape="box"];861 -> 1578[label="",style="solid", color="burlywood", weight=9]; 1578 -> 896[label="",style="solid", color="burlywood", weight=3]; 862[label="xy540 : xy541 == xy570",fontsize=16,color="burlywood",shape="box"];1579[label="xy570/xy5700 : xy5701",fontsize=10,color="white",style="solid",shape="box"];862 -> 1579[label="",style="solid", color="burlywood", weight=9]; 1579 -> 897[label="",style="solid", color="burlywood", weight=3]; 1580[label="xy570/[]",fontsize=10,color="white",style="solid",shape="box"];862 -> 1580[label="",style="solid", color="burlywood", weight=9]; 1580 -> 898[label="",style="solid", color="burlywood", weight=3]; 863[label="[] == xy570",fontsize=16,color="burlywood",shape="box"];1581[label="xy570/xy5700 : xy5701",fontsize=10,color="white",style="solid",shape="box"];863 -> 1581[label="",style="solid", color="burlywood", weight=9]; 1581 -> 899[label="",style="solid", color="burlywood", weight=3]; 1582[label="xy570/[]",fontsize=10,color="white",style="solid",shape="box"];863 -> 1582[label="",style="solid", color="burlywood", weight=9]; 1582 -> 900[label="",style="solid", color="burlywood", weight=3]; 864[label="primEqFloat xy54 xy570",fontsize=16,color="burlywood",shape="box"];1583[label="xy54/Float xy540 xy541",fontsize=10,color="white",style="solid",shape="box"];864 -> 1583[label="",style="solid", color="burlywood", weight=9]; 1583 -> 901[label="",style="solid", color="burlywood", weight=3]; 865[label="(xy540,xy541,xy542) == xy570",fontsize=16,color="burlywood",shape="box"];1584[label="xy570/(xy5700,xy5701,xy5702)",fontsize=10,color="white",style="solid",shape="box"];865 -> 1584[label="",style="solid", color="burlywood", weight=9]; 1584 -> 902[label="",style="solid", color="burlywood", weight=3]; 866[label="primEqDouble xy54 xy570",fontsize=16,color="burlywood",shape="box"];1585[label="xy54/Double xy540 xy541",fontsize=10,color="white",style="solid",shape="box"];866 -> 1585[label="",style="solid", color="burlywood", weight=9]; 1585 -> 903[label="",style="solid", color="burlywood", weight=3]; 867[label="primEqInt xy54 xy570",fontsize=16,color="burlywood",shape="triangle"];1586[label="xy54/Pos xy540",fontsize=10,color="white",style="solid",shape="box"];867 -> 1586[label="",style="solid", color="burlywood", weight=9]; 1586 -> 904[label="",style="solid", color="burlywood", weight=3]; 1587[label="xy54/Neg xy540",fontsize=10,color="white",style="solid",shape="box"];867 -> 1587[label="",style="solid", color="burlywood", weight=9]; 1587 -> 905[label="",style="solid", color="burlywood", weight=3]; 868[label="Left xy540 == xy570",fontsize=16,color="burlywood",shape="box"];1588[label="xy570/Left xy5700",fontsize=10,color="white",style="solid",shape="box"];868 -> 1588[label="",style="solid", color="burlywood", weight=9]; 1588 -> 906[label="",style="solid", color="burlywood", weight=3]; 1589[label="xy570/Right xy5700",fontsize=10,color="white",style="solid",shape="box"];868 -> 1589[label="",style="solid", color="burlywood", weight=9]; 1589 -> 907[label="",style="solid", color="burlywood", weight=3]; 869[label="Right xy540 == xy570",fontsize=16,color="burlywood",shape="box"];1590[label="xy570/Left xy5700",fontsize=10,color="white",style="solid",shape="box"];869 -> 1590[label="",style="solid", color="burlywood", weight=9]; 1590 -> 908[label="",style="solid", color="burlywood", weight=3]; 1591[label="xy570/Right xy5700",fontsize=10,color="white",style="solid",shape="box"];869 -> 1591[label="",style="solid", color="burlywood", weight=9]; 1591 -> 909[label="",style="solid", color="burlywood", weight=3]; 870[label="List.isPrefixOf (xy530 : xy531) (xy5710 : xy5711)",fontsize=16,color="black",shape="box"];870 -> 910[label="",style="solid", color="black", weight=3]; 871[label="List.isPrefixOf (xy530 : xy531) []",fontsize=16,color="black",shape="box"];871 -> 911[label="",style="solid", color="black", weight=3]; 872[label="True",fontsize=16,color="green",shape="box"];873[label="False",fontsize=16,color="green",shape="box"];874[label="xy77",fontsize=16,color="green",shape="box"];875[label="False == False",fontsize=16,color="black",shape="box"];875 -> 912[label="",style="solid", color="black", weight=3]; 876[label="False == True",fontsize=16,color="black",shape="box"];876 -> 913[label="",style="solid", color="black", weight=3]; 877[label="True == False",fontsize=16,color="black",shape="box"];877 -> 914[label="",style="solid", color="black", weight=3]; 878[label="True == True",fontsize=16,color="black",shape="box"];878 -> 915[label="",style="solid", color="black", weight=3]; 879[label="primEqChar (Char xy540) xy570",fontsize=16,color="burlywood",shape="box"];1592[label="xy570/Char xy5700",fontsize=10,color="white",style="solid",shape="box"];879 -> 1592[label="",style="solid", color="burlywood", weight=9]; 1592 -> 916[label="",style="solid", color="burlywood", weight=3]; 880[label="(xy540,xy541) == (xy5700,xy5701)",fontsize=16,color="black",shape="box"];880 -> 917[label="",style="solid", color="black", weight=3]; 881[label="xy540 :% xy541 == xy5700 :% xy5701",fontsize=16,color="black",shape="box"];881 -> 918[label="",style="solid", color="black", weight=3]; 882[label="Integer xy540 == Integer xy5700",fontsize=16,color="black",shape="box"];882 -> 919[label="",style="solid", color="black", weight=3]; 883[label="Nothing == Nothing",fontsize=16,color="black",shape="box"];883 -> 920[label="",style="solid", color="black", weight=3]; 884[label="Nothing == Just xy5700",fontsize=16,color="black",shape="box"];884 -> 921[label="",style="solid", color="black", weight=3]; 885[label="Just xy540 == Nothing",fontsize=16,color="black",shape="box"];885 -> 922[label="",style="solid", color="black", weight=3]; 886[label="Just xy540 == Just xy5700",fontsize=16,color="black",shape="box"];886 -> 923[label="",style="solid", color="black", weight=3]; 887[label="() == ()",fontsize=16,color="black",shape="box"];887 -> 924[label="",style="solid", color="black", weight=3]; 888[label="LT == LT",fontsize=16,color="black",shape="box"];888 -> 925[label="",style="solid", color="black", weight=3]; 889[label="LT == EQ",fontsize=16,color="black",shape="box"];889 -> 926[label="",style="solid", color="black", weight=3]; 890[label="LT == GT",fontsize=16,color="black",shape="box"];890 -> 927[label="",style="solid", color="black", weight=3]; 891[label="EQ == LT",fontsize=16,color="black",shape="box"];891 -> 928[label="",style="solid", color="black", weight=3]; 892[label="EQ == EQ",fontsize=16,color="black",shape="box"];892 -> 929[label="",style="solid", color="black", weight=3]; 893[label="EQ == GT",fontsize=16,color="black",shape="box"];893 -> 930[label="",style="solid", color="black", weight=3]; 894[label="GT == LT",fontsize=16,color="black",shape="box"];894 -> 931[label="",style="solid", color="black", weight=3]; 895[label="GT == EQ",fontsize=16,color="black",shape="box"];895 -> 932[label="",style="solid", color="black", weight=3]; 896[label="GT == GT",fontsize=16,color="black",shape="box"];896 -> 933[label="",style="solid", color="black", weight=3]; 897[label="xy540 : xy541 == xy5700 : xy5701",fontsize=16,color="black",shape="box"];897 -> 934[label="",style="solid", color="black", weight=3]; 898[label="xy540 : xy541 == []",fontsize=16,color="black",shape="box"];898 -> 935[label="",style="solid", color="black", weight=3]; 899[label="[] == xy5700 : xy5701",fontsize=16,color="black",shape="box"];899 -> 936[label="",style="solid", color="black", weight=3]; 900[label="[] == []",fontsize=16,color="black",shape="box"];900 -> 937[label="",style="solid", color="black", weight=3]; 901[label="primEqFloat (Float xy540 xy541) xy570",fontsize=16,color="burlywood",shape="box"];1593[label="xy570/Float xy5700 xy5701",fontsize=10,color="white",style="solid",shape="box"];901 -> 1593[label="",style="solid", color="burlywood", weight=9]; 1593 -> 938[label="",style="solid", color="burlywood", weight=3]; 902[label="(xy540,xy541,xy542) == (xy5700,xy5701,xy5702)",fontsize=16,color="black",shape="box"];902 -> 939[label="",style="solid", color="black", weight=3]; 903[label="primEqDouble (Double xy540 xy541) xy570",fontsize=16,color="burlywood",shape="box"];1594[label="xy570/Double xy5700 xy5701",fontsize=10,color="white",style="solid",shape="box"];903 -> 1594[label="",style="solid", color="burlywood", weight=9]; 1594 -> 940[label="",style="solid", color="burlywood", weight=3]; 904[label="primEqInt (Pos xy540) xy570",fontsize=16,color="burlywood",shape="box"];1595[label="xy540/Succ xy5400",fontsize=10,color="white",style="solid",shape="box"];904 -> 1595[label="",style="solid", color="burlywood", weight=9]; 1595 -> 941[label="",style="solid", color="burlywood", weight=3]; 1596[label="xy540/Zero",fontsize=10,color="white",style="solid",shape="box"];904 -> 1596[label="",style="solid", color="burlywood", weight=9]; 1596 -> 942[label="",style="solid", color="burlywood", weight=3]; 905[label="primEqInt (Neg xy540) xy570",fontsize=16,color="burlywood",shape="box"];1597[label="xy540/Succ xy5400",fontsize=10,color="white",style="solid",shape="box"];905 -> 1597[label="",style="solid", color="burlywood", weight=9]; 1597 -> 943[label="",style="solid", color="burlywood", weight=3]; 1598[label="xy540/Zero",fontsize=10,color="white",style="solid",shape="box"];905 -> 1598[label="",style="solid", color="burlywood", weight=9]; 1598 -> 944[label="",style="solid", color="burlywood", weight=3]; 906[label="Left xy540 == Left xy5700",fontsize=16,color="black",shape="box"];906 -> 945[label="",style="solid", color="black", weight=3]; 907[label="Left xy540 == Right xy5700",fontsize=16,color="black",shape="box"];907 -> 946[label="",style="solid", color="black", weight=3]; 908[label="Right xy540 == Left xy5700",fontsize=16,color="black",shape="box"];908 -> 947[label="",style="solid", color="black", weight=3]; 909[label="Right xy540 == Right xy5700",fontsize=16,color="black",shape="box"];909 -> 948[label="",style="solid", color="black", weight=3]; 910 -> 827[label="",style="dashed", color="red", weight=0]; 910[label="xy530 == xy5710 && List.isPrefixOf xy531 xy5711",fontsize=16,color="magenta"];910 -> 949[label="",style="dashed", color="magenta", weight=3]; 910 -> 950[label="",style="dashed", color="magenta", weight=3]; 911[label="False",fontsize=16,color="green",shape="box"];912[label="True",fontsize=16,color="green",shape="box"];913[label="False",fontsize=16,color="green",shape="box"];914[label="False",fontsize=16,color="green",shape="box"];915[label="True",fontsize=16,color="green",shape="box"];916[label="primEqChar (Char xy540) (Char xy5700)",fontsize=16,color="black",shape="box"];916 -> 951[label="",style="solid", color="black", weight=3]; 917 -> 827[label="",style="dashed", color="red", weight=0]; 917[label="xy540 == xy5700 && xy541 == xy5701",fontsize=16,color="magenta"];917 -> 952[label="",style="dashed", color="magenta", weight=3]; 917 -> 953[label="",style="dashed", color="magenta", weight=3]; 918 -> 827[label="",style="dashed", color="red", weight=0]; 918[label="xy540 == xy5700 && xy541 == xy5701",fontsize=16,color="magenta"];918 -> 954[label="",style="dashed", color="magenta", weight=3]; 918 -> 955[label="",style="dashed", color="magenta", weight=3]; 919 -> 867[label="",style="dashed", color="red", weight=0]; 919[label="primEqInt xy540 xy5700",fontsize=16,color="magenta"];919 -> 956[label="",style="dashed", color="magenta", weight=3]; 919 -> 957[label="",style="dashed", color="magenta", weight=3]; 920[label="True",fontsize=16,color="green",shape="box"];921[label="False",fontsize=16,color="green",shape="box"];922[label="False",fontsize=16,color="green",shape="box"];923[label="xy540 == xy5700",fontsize=16,color="blue",shape="box"];1599[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];923 -> 1599[label="",style="solid", color="blue", weight=9]; 1599 -> 958[label="",style="solid", color="blue", weight=3]; 1600[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];923 -> 1600[label="",style="solid", color="blue", weight=9]; 1600 -> 959[label="",style="solid", color="blue", weight=3]; 1601[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];923 -> 1601[label="",style="solid", color="blue", weight=9]; 1601 -> 960[label="",style="solid", color="blue", weight=3]; 1602[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];923 -> 1602[label="",style="solid", color="blue", weight=9]; 1602 -> 961[label="",style="solid", color="blue", weight=3]; 1603[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];923 -> 1603[label="",style="solid", color="blue", weight=9]; 1603 -> 962[label="",style="solid", color="blue", weight=3]; 1604[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];923 -> 1604[label="",style="solid", color="blue", weight=9]; 1604 -> 963[label="",style="solid", color="blue", weight=3]; 1605[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];923 -> 1605[label="",style="solid", color="blue", weight=9]; 1605 -> 964[label="",style="solid", color="blue", weight=3]; 1606[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];923 -> 1606[label="",style="solid", color="blue", weight=9]; 1606 -> 965[label="",style="solid", color="blue", weight=3]; 1607[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];923 -> 1607[label="",style="solid", color="blue", weight=9]; 1607 -> 966[label="",style="solid", color="blue", weight=3]; 1608[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];923 -> 1608[label="",style="solid", color="blue", weight=9]; 1608 -> 967[label="",style="solid", color="blue", weight=3]; 1609[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];923 -> 1609[label="",style="solid", color="blue", weight=9]; 1609 -> 968[label="",style="solid", color="blue", weight=3]; 1610[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];923 -> 1610[label="",style="solid", color="blue", weight=9]; 1610 -> 969[label="",style="solid", color="blue", weight=3]; 1611[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];923 -> 1611[label="",style="solid", color="blue", weight=9]; 1611 -> 970[label="",style="solid", color="blue", weight=3]; 1612[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];923 -> 1612[label="",style="solid", color="blue", weight=9]; 1612 -> 971[label="",style="solid", color="blue", weight=3]; 924[label="True",fontsize=16,color="green",shape="box"];925[label="True",fontsize=16,color="green",shape="box"];926[label="False",fontsize=16,color="green",shape="box"];927[label="False",fontsize=16,color="green",shape="box"];928[label="False",fontsize=16,color="green",shape="box"];929[label="True",fontsize=16,color="green",shape="box"];930[label="False",fontsize=16,color="green",shape="box"];931[label="False",fontsize=16,color="green",shape="box"];932[label="False",fontsize=16,color="green",shape="box"];933[label="True",fontsize=16,color="green",shape="box"];934 -> 827[label="",style="dashed", color="red", weight=0]; 934[label="xy540 == xy5700 && xy541 == xy5701",fontsize=16,color="magenta"];934 -> 972[label="",style="dashed", color="magenta", weight=3]; 934 -> 973[label="",style="dashed", color="magenta", weight=3]; 935[label="False",fontsize=16,color="green",shape="box"];936[label="False",fontsize=16,color="green",shape="box"];937[label="True",fontsize=16,color="green",shape="box"];938[label="primEqFloat (Float xy540 xy541) (Float xy5700 xy5701)",fontsize=16,color="black",shape="box"];938 -> 974[label="",style="solid", color="black", weight=3]; 939 -> 827[label="",style="dashed", color="red", weight=0]; 939[label="xy540 == xy5700 && xy541 == xy5701 && xy542 == xy5702",fontsize=16,color="magenta"];939 -> 975[label="",style="dashed", color="magenta", weight=3]; 939 -> 976[label="",style="dashed", color="magenta", weight=3]; 940[label="primEqDouble (Double xy540 xy541) (Double xy5700 xy5701)",fontsize=16,color="black",shape="box"];940 -> 977[label="",style="solid", color="black", weight=3]; 941[label="primEqInt (Pos (Succ xy5400)) xy570",fontsize=16,color="burlywood",shape="box"];1613[label="xy570/Pos xy5700",fontsize=10,color="white",style="solid",shape="box"];941 -> 1613[label="",style="solid", color="burlywood", weight=9]; 1613 -> 978[label="",style="solid", color="burlywood", weight=3]; 1614[label="xy570/Neg xy5700",fontsize=10,color="white",style="solid",shape="box"];941 -> 1614[label="",style="solid", color="burlywood", weight=9]; 1614 -> 979[label="",style="solid", color="burlywood", weight=3]; 942[label="primEqInt (Pos Zero) xy570",fontsize=16,color="burlywood",shape="box"];1615[label="xy570/Pos xy5700",fontsize=10,color="white",style="solid",shape="box"];942 -> 1615[label="",style="solid", color="burlywood", weight=9]; 1615 -> 980[label="",style="solid", color="burlywood", weight=3]; 1616[label="xy570/Neg xy5700",fontsize=10,color="white",style="solid",shape="box"];942 -> 1616[label="",style="solid", color="burlywood", weight=9]; 1616 -> 981[label="",style="solid", color="burlywood", weight=3]; 943[label="primEqInt (Neg (Succ xy5400)) xy570",fontsize=16,color="burlywood",shape="box"];1617[label="xy570/Pos xy5700",fontsize=10,color="white",style="solid",shape="box"];943 -> 1617[label="",style="solid", color="burlywood", weight=9]; 1617 -> 982[label="",style="solid", color="burlywood", weight=3]; 1618[label="xy570/Neg xy5700",fontsize=10,color="white",style="solid",shape="box"];943 -> 1618[label="",style="solid", color="burlywood", weight=9]; 1618 -> 983[label="",style="solid", color="burlywood", weight=3]; 944[label="primEqInt (Neg Zero) xy570",fontsize=16,color="burlywood",shape="box"];1619[label="xy570/Pos xy5700",fontsize=10,color="white",style="solid",shape="box"];944 -> 1619[label="",style="solid", color="burlywood", weight=9]; 1619 -> 984[label="",style="solid", color="burlywood", weight=3]; 1620[label="xy570/Neg xy5700",fontsize=10,color="white",style="solid",shape="box"];944 -> 1620[label="",style="solid", color="burlywood", weight=9]; 1620 -> 985[label="",style="solid", color="burlywood", weight=3]; 945[label="xy540 == xy5700",fontsize=16,color="blue",shape="box"];1621[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];945 -> 1621[label="",style="solid", color="blue", weight=9]; 1621 -> 986[label="",style="solid", color="blue", weight=3]; 1622[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];945 -> 1622[label="",style="solid", color="blue", weight=9]; 1622 -> 987[label="",style="solid", color="blue", weight=3]; 1623[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];945 -> 1623[label="",style="solid", color="blue", weight=9]; 1623 -> 988[label="",style="solid", color="blue", weight=3]; 1624[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];945 -> 1624[label="",style="solid", color="blue", weight=9]; 1624 -> 989[label="",style="solid", color="blue", weight=3]; 1625[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];945 -> 1625[label="",style="solid", color="blue", weight=9]; 1625 -> 990[label="",style="solid", color="blue", weight=3]; 1626[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];945 -> 1626[label="",style="solid", color="blue", weight=9]; 1626 -> 991[label="",style="solid", color="blue", weight=3]; 1627[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];945 -> 1627[label="",style="solid", color="blue", weight=9]; 1627 -> 992[label="",style="solid", color="blue", weight=3]; 1628[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];945 -> 1628[label="",style="solid", color="blue", weight=9]; 1628 -> 993[label="",style="solid", color="blue", weight=3]; 1629[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];945 -> 1629[label="",style="solid", color="blue", weight=9]; 1629 -> 994[label="",style="solid", color="blue", weight=3]; 1630[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];945 -> 1630[label="",style="solid", color="blue", weight=9]; 1630 -> 995[label="",style="solid", color="blue", weight=3]; 1631[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];945 -> 1631[label="",style="solid", color="blue", weight=9]; 1631 -> 996[label="",style="solid", color="blue", weight=3]; 1632[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];945 -> 1632[label="",style="solid", color="blue", weight=9]; 1632 -> 997[label="",style="solid", color="blue", weight=3]; 1633[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];945 -> 1633[label="",style="solid", color="blue", weight=9]; 1633 -> 998[label="",style="solid", color="blue", weight=3]; 1634[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];945 -> 1634[label="",style="solid", color="blue", weight=9]; 1634 -> 999[label="",style="solid", color="blue", weight=3]; 946[label="False",fontsize=16,color="green",shape="box"];947[label="False",fontsize=16,color="green",shape="box"];948[label="xy540 == xy5700",fontsize=16,color="blue",shape="box"];1635[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];948 -> 1635[label="",style="solid", color="blue", weight=9]; 1635 -> 1000[label="",style="solid", color="blue", weight=3]; 1636[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];948 -> 1636[label="",style="solid", color="blue", weight=9]; 1636 -> 1001[label="",style="solid", color="blue", weight=3]; 1637[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];948 -> 1637[label="",style="solid", color="blue", weight=9]; 1637 -> 1002[label="",style="solid", color="blue", weight=3]; 1638[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];948 -> 1638[label="",style="solid", color="blue", weight=9]; 1638 -> 1003[label="",style="solid", color="blue", weight=3]; 1639[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];948 -> 1639[label="",style="solid", color="blue", weight=9]; 1639 -> 1004[label="",style="solid", color="blue", weight=3]; 1640[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];948 -> 1640[label="",style="solid", color="blue", weight=9]; 1640 -> 1005[label="",style="solid", color="blue", weight=3]; 1641[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];948 -> 1641[label="",style="solid", color="blue", weight=9]; 1641 -> 1006[label="",style="solid", color="blue", weight=3]; 1642[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];948 -> 1642[label="",style="solid", color="blue", weight=9]; 1642 -> 1007[label="",style="solid", color="blue", weight=3]; 1643[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];948 -> 1643[label="",style="solid", color="blue", weight=9]; 1643 -> 1008[label="",style="solid", color="blue", weight=3]; 1644[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];948 -> 1644[label="",style="solid", color="blue", weight=9]; 1644 -> 1009[label="",style="solid", color="blue", weight=3]; 1645[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];948 -> 1645[label="",style="solid", color="blue", weight=9]; 1645 -> 1010[label="",style="solid", color="blue", weight=3]; 1646[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];948 -> 1646[label="",style="solid", color="blue", weight=9]; 1646 -> 1011[label="",style="solid", color="blue", weight=3]; 1647[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];948 -> 1647[label="",style="solid", color="blue", weight=9]; 1647 -> 1012[label="",style="solid", color="blue", weight=3]; 1648[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];948 -> 1648[label="",style="solid", color="blue", weight=9]; 1648 -> 1013[label="",style="solid", color="blue", weight=3]; 949[label="xy530 == xy5710",fontsize=16,color="blue",shape="box"];1649[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];949 -> 1649[label="",style="solid", color="blue", weight=9]; 1649 -> 1014[label="",style="solid", color="blue", weight=3]; 1650[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];949 -> 1650[label="",style="solid", color="blue", weight=9]; 1650 -> 1015[label="",style="solid", color="blue", weight=3]; 1651[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];949 -> 1651[label="",style="solid", color="blue", weight=9]; 1651 -> 1016[label="",style="solid", color="blue", weight=3]; 1652[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];949 -> 1652[label="",style="solid", color="blue", weight=9]; 1652 -> 1017[label="",style="solid", color="blue", weight=3]; 1653[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];949 -> 1653[label="",style="solid", color="blue", weight=9]; 1653 -> 1018[label="",style="solid", color="blue", weight=3]; 1654[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];949 -> 1654[label="",style="solid", color="blue", weight=9]; 1654 -> 1019[label="",style="solid", color="blue", weight=3]; 1655[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];949 -> 1655[label="",style="solid", color="blue", weight=9]; 1655 -> 1020[label="",style="solid", color="blue", weight=3]; 1656[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];949 -> 1656[label="",style="solid", color="blue", weight=9]; 1656 -> 1021[label="",style="solid", color="blue", weight=3]; 1657[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];949 -> 1657[label="",style="solid", color="blue", weight=9]; 1657 -> 1022[label="",style="solid", color="blue", weight=3]; 1658[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];949 -> 1658[label="",style="solid", color="blue", weight=9]; 1658 -> 1023[label="",style="solid", color="blue", weight=3]; 1659[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];949 -> 1659[label="",style="solid", color="blue", weight=9]; 1659 -> 1024[label="",style="solid", color="blue", weight=3]; 1660[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];949 -> 1660[label="",style="solid", color="blue", weight=9]; 1660 -> 1025[label="",style="solid", color="blue", weight=3]; 1661[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];949 -> 1661[label="",style="solid", color="blue", weight=9]; 1661 -> 1026[label="",style="solid", color="blue", weight=3]; 1662[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];949 -> 1662[label="",style="solid", color="blue", weight=9]; 1662 -> 1027[label="",style="solid", color="blue", weight=3]; 950 -> 829[label="",style="dashed", color="red", weight=0]; 950[label="List.isPrefixOf xy531 xy5711",fontsize=16,color="magenta"];950 -> 1028[label="",style="dashed", color="magenta", weight=3]; 950 -> 1029[label="",style="dashed", color="magenta", weight=3]; 951[label="primEqNat xy540 xy5700",fontsize=16,color="burlywood",shape="triangle"];1663[label="xy540/Succ xy5400",fontsize=10,color="white",style="solid",shape="box"];951 -> 1663[label="",style="solid", color="burlywood", weight=9]; 1663 -> 1030[label="",style="solid", color="burlywood", weight=3]; 1664[label="xy540/Zero",fontsize=10,color="white",style="solid",shape="box"];951 -> 1664[label="",style="solid", color="burlywood", weight=9]; 1664 -> 1031[label="",style="solid", color="burlywood", weight=3]; 952[label="xy540 == xy5700",fontsize=16,color="blue",shape="box"];1665[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];952 -> 1665[label="",style="solid", color="blue", weight=9]; 1665 -> 1032[label="",style="solid", color="blue", weight=3]; 1666[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];952 -> 1666[label="",style="solid", color="blue", weight=9]; 1666 -> 1033[label="",style="solid", color="blue", weight=3]; 1667[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];952 -> 1667[label="",style="solid", color="blue", weight=9]; 1667 -> 1034[label="",style="solid", color="blue", weight=3]; 1668[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];952 -> 1668[label="",style="solid", color="blue", weight=9]; 1668 -> 1035[label="",style="solid", color="blue", weight=3]; 1669[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];952 -> 1669[label="",style="solid", color="blue", weight=9]; 1669 -> 1036[label="",style="solid", color="blue", weight=3]; 1670[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];952 -> 1670[label="",style="solid", color="blue", weight=9]; 1670 -> 1037[label="",style="solid", color="blue", weight=3]; 1671[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];952 -> 1671[label="",style="solid", color="blue", weight=9]; 1671 -> 1038[label="",style="solid", color="blue", weight=3]; 1672[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];952 -> 1672[label="",style="solid", color="blue", weight=9]; 1672 -> 1039[label="",style="solid", color="blue", weight=3]; 1673[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];952 -> 1673[label="",style="solid", color="blue", weight=9]; 1673 -> 1040[label="",style="solid", color="blue", weight=3]; 1674[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];952 -> 1674[label="",style="solid", color="blue", weight=9]; 1674 -> 1041[label="",style="solid", color="blue", weight=3]; 1675[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];952 -> 1675[label="",style="solid", color="blue", weight=9]; 1675 -> 1042[label="",style="solid", color="blue", weight=3]; 1676[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];952 -> 1676[label="",style="solid", color="blue", weight=9]; 1676 -> 1043[label="",style="solid", color="blue", weight=3]; 1677[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];952 -> 1677[label="",style="solid", color="blue", weight=9]; 1677 -> 1044[label="",style="solid", color="blue", weight=3]; 1678[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];952 -> 1678[label="",style="solid", color="blue", weight=9]; 1678 -> 1045[label="",style="solid", color="blue", weight=3]; 953[label="xy541 == xy5701",fontsize=16,color="blue",shape="box"];1679[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];953 -> 1679[label="",style="solid", color="blue", weight=9]; 1679 -> 1046[label="",style="solid", color="blue", weight=3]; 1680[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];953 -> 1680[label="",style="solid", color="blue", weight=9]; 1680 -> 1047[label="",style="solid", color="blue", weight=3]; 1681[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];953 -> 1681[label="",style="solid", color="blue", weight=9]; 1681 -> 1048[label="",style="solid", color="blue", weight=3]; 1682[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];953 -> 1682[label="",style="solid", color="blue", weight=9]; 1682 -> 1049[label="",style="solid", color="blue", weight=3]; 1683[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];953 -> 1683[label="",style="solid", color="blue", weight=9]; 1683 -> 1050[label="",style="solid", color="blue", weight=3]; 1684[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];953 -> 1684[label="",style="solid", color="blue", weight=9]; 1684 -> 1051[label="",style="solid", color="blue", weight=3]; 1685[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];953 -> 1685[label="",style="solid", color="blue", weight=9]; 1685 -> 1052[label="",style="solid", color="blue", weight=3]; 1686[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];953 -> 1686[label="",style="solid", color="blue", weight=9]; 1686 -> 1053[label="",style="solid", color="blue", weight=3]; 1687[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];953 -> 1687[label="",style="solid", color="blue", weight=9]; 1687 -> 1054[label="",style="solid", color="blue", weight=3]; 1688[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];953 -> 1688[label="",style="solid", color="blue", weight=9]; 1688 -> 1055[label="",style="solid", color="blue", weight=3]; 1689[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];953 -> 1689[label="",style="solid", color="blue", weight=9]; 1689 -> 1056[label="",style="solid", color="blue", weight=3]; 1690[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];953 -> 1690[label="",style="solid", color="blue", weight=9]; 1690 -> 1057[label="",style="solid", color="blue", weight=3]; 1691[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];953 -> 1691[label="",style="solid", color="blue", weight=9]; 1691 -> 1058[label="",style="solid", color="blue", weight=3]; 1692[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];953 -> 1692[label="",style="solid", color="blue", weight=9]; 1692 -> 1059[label="",style="solid", color="blue", weight=3]; 954[label="xy540 == xy5700",fontsize=16,color="blue",shape="box"];1693[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];954 -> 1693[label="",style="solid", color="blue", weight=9]; 1693 -> 1060[label="",style="solid", color="blue", weight=3]; 1694[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];954 -> 1694[label="",style="solid", color="blue", weight=9]; 1694 -> 1061[label="",style="solid", color="blue", weight=3]; 955[label="xy541 == xy5701",fontsize=16,color="blue",shape="box"];1695[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];955 -> 1695[label="",style="solid", color="blue", weight=9]; 1695 -> 1062[label="",style="solid", color="blue", weight=3]; 1696[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];955 -> 1696[label="",style="solid", color="blue", weight=9]; 1696 -> 1063[label="",style="solid", color="blue", weight=3]; 956[label="xy5700",fontsize=16,color="green",shape="box"];957[label="xy540",fontsize=16,color="green",shape="box"];958 -> 832[label="",style="dashed", color="red", weight=0]; 958[label="xy540 == xy5700",fontsize=16,color="magenta"];958 -> 1064[label="",style="dashed", color="magenta", weight=3]; 958 -> 1065[label="",style="dashed", color="magenta", weight=3]; 959 -> 833[label="",style="dashed", color="red", weight=0]; 959[label="xy540 == xy5700",fontsize=16,color="magenta"];959 -> 1066[label="",style="dashed", color="magenta", weight=3]; 959 -> 1067[label="",style="dashed", color="magenta", weight=3]; 960 -> 834[label="",style="dashed", color="red", weight=0]; 960[label="xy540 == xy5700",fontsize=16,color="magenta"];960 -> 1068[label="",style="dashed", color="magenta", weight=3]; 960 -> 1069[label="",style="dashed", color="magenta", weight=3]; 961 -> 835[label="",style="dashed", color="red", weight=0]; 961[label="xy540 == xy5700",fontsize=16,color="magenta"];961 -> 1070[label="",style="dashed", color="magenta", weight=3]; 961 -> 1071[label="",style="dashed", color="magenta", weight=3]; 962 -> 836[label="",style="dashed", color="red", weight=0]; 962[label="xy540 == xy5700",fontsize=16,color="magenta"];962 -> 1072[label="",style="dashed", color="magenta", weight=3]; 962 -> 1073[label="",style="dashed", color="magenta", weight=3]; 963 -> 837[label="",style="dashed", color="red", weight=0]; 963[label="xy540 == xy5700",fontsize=16,color="magenta"];963 -> 1074[label="",style="dashed", color="magenta", weight=3]; 963 -> 1075[label="",style="dashed", color="magenta", weight=3]; 964 -> 838[label="",style="dashed", color="red", weight=0]; 964[label="xy540 == xy5700",fontsize=16,color="magenta"];964 -> 1076[label="",style="dashed", color="magenta", weight=3]; 964 -> 1077[label="",style="dashed", color="magenta", weight=3]; 965 -> 839[label="",style="dashed", color="red", weight=0]; 965[label="xy540 == xy5700",fontsize=16,color="magenta"];965 -> 1078[label="",style="dashed", color="magenta", weight=3]; 965 -> 1079[label="",style="dashed", color="magenta", weight=3]; 966 -> 840[label="",style="dashed", color="red", weight=0]; 966[label="xy540 == xy5700",fontsize=16,color="magenta"];966 -> 1080[label="",style="dashed", color="magenta", weight=3]; 966 -> 1081[label="",style="dashed", color="magenta", weight=3]; 967 -> 841[label="",style="dashed", color="red", weight=0]; 967[label="xy540 == xy5700",fontsize=16,color="magenta"];967 -> 1082[label="",style="dashed", color="magenta", weight=3]; 967 -> 1083[label="",style="dashed", color="magenta", weight=3]; 968 -> 842[label="",style="dashed", color="red", weight=0]; 968[label="xy540 == xy5700",fontsize=16,color="magenta"];968 -> 1084[label="",style="dashed", color="magenta", weight=3]; 968 -> 1085[label="",style="dashed", color="magenta", weight=3]; 969 -> 843[label="",style="dashed", color="red", weight=0]; 969[label="xy540 == xy5700",fontsize=16,color="magenta"];969 -> 1086[label="",style="dashed", color="magenta", weight=3]; 969 -> 1087[label="",style="dashed", color="magenta", weight=3]; 970 -> 844[label="",style="dashed", color="red", weight=0]; 970[label="xy540 == xy5700",fontsize=16,color="magenta"];970 -> 1088[label="",style="dashed", color="magenta", weight=3]; 970 -> 1089[label="",style="dashed", color="magenta", weight=3]; 971 -> 845[label="",style="dashed", color="red", weight=0]; 971[label="xy540 == xy5700",fontsize=16,color="magenta"];971 -> 1090[label="",style="dashed", color="magenta", weight=3]; 971 -> 1091[label="",style="dashed", color="magenta", weight=3]; 972[label="xy540 == xy5700",fontsize=16,color="blue",shape="box"];1697[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];972 -> 1697[label="",style="solid", color="blue", weight=9]; 1697 -> 1092[label="",style="solid", color="blue", weight=3]; 1698[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];972 -> 1698[label="",style="solid", color="blue", weight=9]; 1698 -> 1093[label="",style="solid", color="blue", weight=3]; 1699[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];972 -> 1699[label="",style="solid", color="blue", weight=9]; 1699 -> 1094[label="",style="solid", color="blue", weight=3]; 1700[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];972 -> 1700[label="",style="solid", color="blue", weight=9]; 1700 -> 1095[label="",style="solid", color="blue", weight=3]; 1701[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];972 -> 1701[label="",style="solid", color="blue", weight=9]; 1701 -> 1096[label="",style="solid", color="blue", weight=3]; 1702[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];972 -> 1702[label="",style="solid", color="blue", weight=9]; 1702 -> 1097[label="",style="solid", color="blue", weight=3]; 1703[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];972 -> 1703[label="",style="solid", color="blue", weight=9]; 1703 -> 1098[label="",style="solid", color="blue", weight=3]; 1704[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];972 -> 1704[label="",style="solid", color="blue", weight=9]; 1704 -> 1099[label="",style="solid", color="blue", weight=3]; 1705[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];972 -> 1705[label="",style="solid", color="blue", weight=9]; 1705 -> 1100[label="",style="solid", color="blue", weight=3]; 1706[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];972 -> 1706[label="",style="solid", color="blue", weight=9]; 1706 -> 1101[label="",style="solid", color="blue", weight=3]; 1707[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];972 -> 1707[label="",style="solid", color="blue", weight=9]; 1707 -> 1102[label="",style="solid", color="blue", weight=3]; 1708[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];972 -> 1708[label="",style="solid", color="blue", weight=9]; 1708 -> 1103[label="",style="solid", color="blue", weight=3]; 1709[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];972 -> 1709[label="",style="solid", color="blue", weight=9]; 1709 -> 1104[label="",style="solid", color="blue", weight=3]; 1710[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];972 -> 1710[label="",style="solid", color="blue", weight=9]; 1710 -> 1105[label="",style="solid", color="blue", weight=3]; 973 -> 840[label="",style="dashed", color="red", weight=0]; 973[label="xy541 == xy5701",fontsize=16,color="magenta"];973 -> 1106[label="",style="dashed", color="magenta", weight=3]; 973 -> 1107[label="",style="dashed", color="magenta", weight=3]; 974 -> 844[label="",style="dashed", color="red", weight=0]; 974[label="xy540 * xy5701 == xy541 * xy5700",fontsize=16,color="magenta"];974 -> 1108[label="",style="dashed", color="magenta", weight=3]; 974 -> 1109[label="",style="dashed", color="magenta", weight=3]; 975[label="xy540 == xy5700",fontsize=16,color="blue",shape="box"];1711[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];975 -> 1711[label="",style="solid", color="blue", weight=9]; 1711 -> 1110[label="",style="solid", color="blue", weight=3]; 1712[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];975 -> 1712[label="",style="solid", color="blue", weight=9]; 1712 -> 1111[label="",style="solid", color="blue", weight=3]; 1713[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];975 -> 1713[label="",style="solid", color="blue", weight=9]; 1713 -> 1112[label="",style="solid", color="blue", weight=3]; 1714[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];975 -> 1714[label="",style="solid", color="blue", weight=9]; 1714 -> 1113[label="",style="solid", color="blue", weight=3]; 1715[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];975 -> 1715[label="",style="solid", color="blue", weight=9]; 1715 -> 1114[label="",style="solid", color="blue", weight=3]; 1716[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];975 -> 1716[label="",style="solid", color="blue", weight=9]; 1716 -> 1115[label="",style="solid", color="blue", weight=3]; 1717[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];975 -> 1717[label="",style="solid", color="blue", weight=9]; 1717 -> 1116[label="",style="solid", color="blue", weight=3]; 1718[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];975 -> 1718[label="",style="solid", color="blue", weight=9]; 1718 -> 1117[label="",style="solid", color="blue", weight=3]; 1719[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];975 -> 1719[label="",style="solid", color="blue", weight=9]; 1719 -> 1118[label="",style="solid", color="blue", weight=3]; 1720[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];975 -> 1720[label="",style="solid", color="blue", weight=9]; 1720 -> 1119[label="",style="solid", color="blue", weight=3]; 1721[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];975 -> 1721[label="",style="solid", color="blue", weight=9]; 1721 -> 1120[label="",style="solid", color="blue", weight=3]; 1722[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];975 -> 1722[label="",style="solid", color="blue", weight=9]; 1722 -> 1121[label="",style="solid", color="blue", weight=3]; 1723[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];975 -> 1723[label="",style="solid", color="blue", weight=9]; 1723 -> 1122[label="",style="solid", color="blue", weight=3]; 1724[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];975 -> 1724[label="",style="solid", color="blue", weight=9]; 1724 -> 1123[label="",style="solid", color="blue", weight=3]; 976 -> 827[label="",style="dashed", color="red", weight=0]; 976[label="xy541 == xy5701 && xy542 == xy5702",fontsize=16,color="magenta"];976 -> 1124[label="",style="dashed", color="magenta", weight=3]; 976 -> 1125[label="",style="dashed", color="magenta", weight=3]; 977 -> 844[label="",style="dashed", color="red", weight=0]; 977[label="xy540 * xy5701 == xy541 * xy5700",fontsize=16,color="magenta"];977 -> 1126[label="",style="dashed", color="magenta", weight=3]; 977 -> 1127[label="",style="dashed", color="magenta", weight=3]; 978[label="primEqInt (Pos (Succ xy5400)) (Pos xy5700)",fontsize=16,color="burlywood",shape="box"];1725[label="xy5700/Succ xy57000",fontsize=10,color="white",style="solid",shape="box"];978 -> 1725[label="",style="solid", color="burlywood", weight=9]; 1725 -> 1128[label="",style="solid", color="burlywood", weight=3]; 1726[label="xy5700/Zero",fontsize=10,color="white",style="solid",shape="box"];978 -> 1726[label="",style="solid", color="burlywood", weight=9]; 1726 -> 1129[label="",style="solid", color="burlywood", weight=3]; 979[label="primEqInt (Pos (Succ xy5400)) (Neg xy5700)",fontsize=16,color="black",shape="box"];979 -> 1130[label="",style="solid", color="black", weight=3]; 980[label="primEqInt (Pos Zero) (Pos xy5700)",fontsize=16,color="burlywood",shape="box"];1727[label="xy5700/Succ xy57000",fontsize=10,color="white",style="solid",shape="box"];980 -> 1727[label="",style="solid", color="burlywood", weight=9]; 1727 -> 1131[label="",style="solid", color="burlywood", weight=3]; 1728[label="xy5700/Zero",fontsize=10,color="white",style="solid",shape="box"];980 -> 1728[label="",style="solid", color="burlywood", weight=9]; 1728 -> 1132[label="",style="solid", color="burlywood", weight=3]; 981[label="primEqInt (Pos Zero) (Neg xy5700)",fontsize=16,color="burlywood",shape="box"];1729[label="xy5700/Succ xy57000",fontsize=10,color="white",style="solid",shape="box"];981 -> 1729[label="",style="solid", color="burlywood", weight=9]; 1729 -> 1133[label="",style="solid", color="burlywood", weight=3]; 1730[label="xy5700/Zero",fontsize=10,color="white",style="solid",shape="box"];981 -> 1730[label="",style="solid", color="burlywood", weight=9]; 1730 -> 1134[label="",style="solid", color="burlywood", weight=3]; 982[label="primEqInt (Neg (Succ xy5400)) (Pos xy5700)",fontsize=16,color="black",shape="box"];982 -> 1135[label="",style="solid", color="black", weight=3]; 983[label="primEqInt (Neg (Succ xy5400)) (Neg xy5700)",fontsize=16,color="burlywood",shape="box"];1731[label="xy5700/Succ xy57000",fontsize=10,color="white",style="solid",shape="box"];983 -> 1731[label="",style="solid", color="burlywood", weight=9]; 1731 -> 1136[label="",style="solid", color="burlywood", weight=3]; 1732[label="xy5700/Zero",fontsize=10,color="white",style="solid",shape="box"];983 -> 1732[label="",style="solid", color="burlywood", weight=9]; 1732 -> 1137[label="",style="solid", color="burlywood", weight=3]; 984[label="primEqInt (Neg Zero) (Pos xy5700)",fontsize=16,color="burlywood",shape="box"];1733[label="xy5700/Succ xy57000",fontsize=10,color="white",style="solid",shape="box"];984 -> 1733[label="",style="solid", color="burlywood", weight=9]; 1733 -> 1138[label="",style="solid", color="burlywood", weight=3]; 1734[label="xy5700/Zero",fontsize=10,color="white",style="solid",shape="box"];984 -> 1734[label="",style="solid", color="burlywood", weight=9]; 1734 -> 1139[label="",style="solid", color="burlywood", weight=3]; 985[label="primEqInt (Neg Zero) (Neg xy5700)",fontsize=16,color="burlywood",shape="box"];1735[label="xy5700/Succ xy57000",fontsize=10,color="white",style="solid",shape="box"];985 -> 1735[label="",style="solid", color="burlywood", weight=9]; 1735 -> 1140[label="",style="solid", color="burlywood", weight=3]; 1736[label="xy5700/Zero",fontsize=10,color="white",style="solid",shape="box"];985 -> 1736[label="",style="solid", color="burlywood", weight=9]; 1736 -> 1141[label="",style="solid", color="burlywood", weight=3]; 986 -> 832[label="",style="dashed", color="red", weight=0]; 986[label="xy540 == xy5700",fontsize=16,color="magenta"];986 -> 1142[label="",style="dashed", color="magenta", weight=3]; 986 -> 1143[label="",style="dashed", color="magenta", weight=3]; 987 -> 833[label="",style="dashed", color="red", weight=0]; 987[label="xy540 == xy5700",fontsize=16,color="magenta"];987 -> 1144[label="",style="dashed", color="magenta", weight=3]; 987 -> 1145[label="",style="dashed", color="magenta", weight=3]; 988 -> 834[label="",style="dashed", color="red", weight=0]; 988[label="xy540 == xy5700",fontsize=16,color="magenta"];988 -> 1146[label="",style="dashed", color="magenta", weight=3]; 988 -> 1147[label="",style="dashed", color="magenta", weight=3]; 989 -> 835[label="",style="dashed", color="red", weight=0]; 989[label="xy540 == xy5700",fontsize=16,color="magenta"];989 -> 1148[label="",style="dashed", color="magenta", weight=3]; 989 -> 1149[label="",style="dashed", color="magenta", weight=3]; 990 -> 836[label="",style="dashed", color="red", weight=0]; 990[label="xy540 == xy5700",fontsize=16,color="magenta"];990 -> 1150[label="",style="dashed", color="magenta", weight=3]; 990 -> 1151[label="",style="dashed", color="magenta", weight=3]; 991 -> 837[label="",style="dashed", color="red", weight=0]; 991[label="xy540 == xy5700",fontsize=16,color="magenta"];991 -> 1152[label="",style="dashed", color="magenta", weight=3]; 991 -> 1153[label="",style="dashed", color="magenta", weight=3]; 992 -> 838[label="",style="dashed", color="red", weight=0]; 992[label="xy540 == xy5700",fontsize=16,color="magenta"];992 -> 1154[label="",style="dashed", color="magenta", weight=3]; 992 -> 1155[label="",style="dashed", color="magenta", weight=3]; 993 -> 839[label="",style="dashed", color="red", weight=0]; 993[label="xy540 == xy5700",fontsize=16,color="magenta"];993 -> 1156[label="",style="dashed", color="magenta", weight=3]; 993 -> 1157[label="",style="dashed", color="magenta", weight=3]; 994 -> 840[label="",style="dashed", color="red", weight=0]; 994[label="xy540 == xy5700",fontsize=16,color="magenta"];994 -> 1158[label="",style="dashed", color="magenta", weight=3]; 994 -> 1159[label="",style="dashed", color="magenta", weight=3]; 995 -> 841[label="",style="dashed", color="red", weight=0]; 995[label="xy540 == xy5700",fontsize=16,color="magenta"];995 -> 1160[label="",style="dashed", color="magenta", weight=3]; 995 -> 1161[label="",style="dashed", color="magenta", weight=3]; 996 -> 842[label="",style="dashed", color="red", weight=0]; 996[label="xy540 == xy5700",fontsize=16,color="magenta"];996 -> 1162[label="",style="dashed", color="magenta", weight=3]; 996 -> 1163[label="",style="dashed", color="magenta", weight=3]; 997 -> 843[label="",style="dashed", color="red", weight=0]; 997[label="xy540 == xy5700",fontsize=16,color="magenta"];997 -> 1164[label="",style="dashed", color="magenta", weight=3]; 997 -> 1165[label="",style="dashed", color="magenta", weight=3]; 998 -> 844[label="",style="dashed", color="red", weight=0]; 998[label="xy540 == xy5700",fontsize=16,color="magenta"];998 -> 1166[label="",style="dashed", color="magenta", weight=3]; 998 -> 1167[label="",style="dashed", color="magenta", weight=3]; 999 -> 845[label="",style="dashed", color="red", weight=0]; 999[label="xy540 == xy5700",fontsize=16,color="magenta"];999 -> 1168[label="",style="dashed", color="magenta", weight=3]; 999 -> 1169[label="",style="dashed", color="magenta", weight=3]; 1000 -> 832[label="",style="dashed", color="red", weight=0]; 1000[label="xy540 == xy5700",fontsize=16,color="magenta"];1000 -> 1170[label="",style="dashed", color="magenta", weight=3]; 1000 -> 1171[label="",style="dashed", color="magenta", weight=3]; 1001 -> 833[label="",style="dashed", color="red", weight=0]; 1001[label="xy540 == xy5700",fontsize=16,color="magenta"];1001 -> 1172[label="",style="dashed", color="magenta", weight=3]; 1001 -> 1173[label="",style="dashed", color="magenta", weight=3]; 1002 -> 834[label="",style="dashed", color="red", weight=0]; 1002[label="xy540 == xy5700",fontsize=16,color="magenta"];1002 -> 1174[label="",style="dashed", color="magenta", weight=3]; 1002 -> 1175[label="",style="dashed", color="magenta", weight=3]; 1003 -> 835[label="",style="dashed", color="red", weight=0]; 1003[label="xy540 == xy5700",fontsize=16,color="magenta"];1003 -> 1176[label="",style="dashed", color="magenta", weight=3]; 1003 -> 1177[label="",style="dashed", color="magenta", weight=3]; 1004 -> 836[label="",style="dashed", color="red", weight=0]; 1004[label="xy540 == xy5700",fontsize=16,color="magenta"];1004 -> 1178[label="",style="dashed", color="magenta", weight=3]; 1004 -> 1179[label="",style="dashed", color="magenta", weight=3]; 1005 -> 837[label="",style="dashed", color="red", weight=0]; 1005[label="xy540 == xy5700",fontsize=16,color="magenta"];1005 -> 1180[label="",style="dashed", color="magenta", weight=3]; 1005 -> 1181[label="",style="dashed", color="magenta", weight=3]; 1006 -> 838[label="",style="dashed", color="red", weight=0]; 1006[label="xy540 == xy5700",fontsize=16,color="magenta"];1006 -> 1182[label="",style="dashed", color="magenta", weight=3]; 1006 -> 1183[label="",style="dashed", color="magenta", weight=3]; 1007 -> 839[label="",style="dashed", color="red", weight=0]; 1007[label="xy540 == xy5700",fontsize=16,color="magenta"];1007 -> 1184[label="",style="dashed", color="magenta", weight=3]; 1007 -> 1185[label="",style="dashed", color="magenta", weight=3]; 1008 -> 840[label="",style="dashed", color="red", weight=0]; 1008[label="xy540 == xy5700",fontsize=16,color="magenta"];1008 -> 1186[label="",style="dashed", color="magenta", weight=3]; 1008 -> 1187[label="",style="dashed", color="magenta", weight=3]; 1009 -> 841[label="",style="dashed", color="red", weight=0]; 1009[label="xy540 == xy5700",fontsize=16,color="magenta"];1009 -> 1188[label="",style="dashed", color="magenta", weight=3]; 1009 -> 1189[label="",style="dashed", color="magenta", weight=3]; 1010 -> 842[label="",style="dashed", color="red", weight=0]; 1010[label="xy540 == xy5700",fontsize=16,color="magenta"];1010 -> 1190[label="",style="dashed", color="magenta", weight=3]; 1010 -> 1191[label="",style="dashed", color="magenta", weight=3]; 1011 -> 843[label="",style="dashed", color="red", weight=0]; 1011[label="xy540 == xy5700",fontsize=16,color="magenta"];1011 -> 1192[label="",style="dashed", color="magenta", weight=3]; 1011 -> 1193[label="",style="dashed", color="magenta", weight=3]; 1012 -> 844[label="",style="dashed", color="red", weight=0]; 1012[label="xy540 == xy5700",fontsize=16,color="magenta"];1012 -> 1194[label="",style="dashed", color="magenta", weight=3]; 1012 -> 1195[label="",style="dashed", color="magenta", weight=3]; 1013 -> 845[label="",style="dashed", color="red", weight=0]; 1013[label="xy540 == xy5700",fontsize=16,color="magenta"];1013 -> 1196[label="",style="dashed", color="magenta", weight=3]; 1013 -> 1197[label="",style="dashed", color="magenta", weight=3]; 1014 -> 832[label="",style="dashed", color="red", weight=0]; 1014[label="xy530 == xy5710",fontsize=16,color="magenta"];1014 -> 1198[label="",style="dashed", color="magenta", weight=3]; 1014 -> 1199[label="",style="dashed", color="magenta", weight=3]; 1015 -> 833[label="",style="dashed", color="red", weight=0]; 1015[label="xy530 == xy5710",fontsize=16,color="magenta"];1015 -> 1200[label="",style="dashed", color="magenta", weight=3]; 1015 -> 1201[label="",style="dashed", color="magenta", weight=3]; 1016 -> 834[label="",style="dashed", color="red", weight=0]; 1016[label="xy530 == xy5710",fontsize=16,color="magenta"];1016 -> 1202[label="",style="dashed", color="magenta", weight=3]; 1016 -> 1203[label="",style="dashed", color="magenta", weight=3]; 1017 -> 835[label="",style="dashed", color="red", weight=0]; 1017[label="xy530 == xy5710",fontsize=16,color="magenta"];1017 -> 1204[label="",style="dashed", color="magenta", weight=3]; 1017 -> 1205[label="",style="dashed", color="magenta", weight=3]; 1018 -> 836[label="",style="dashed", color="red", weight=0]; 1018[label="xy530 == xy5710",fontsize=16,color="magenta"];1018 -> 1206[label="",style="dashed", color="magenta", weight=3]; 1018 -> 1207[label="",style="dashed", color="magenta", weight=3]; 1019 -> 837[label="",style="dashed", color="red", weight=0]; 1019[label="xy530 == xy5710",fontsize=16,color="magenta"];1019 -> 1208[label="",style="dashed", color="magenta", weight=3]; 1019 -> 1209[label="",style="dashed", color="magenta", weight=3]; 1020 -> 838[label="",style="dashed", color="red", weight=0]; 1020[label="xy530 == xy5710",fontsize=16,color="magenta"];1020 -> 1210[label="",style="dashed", color="magenta", weight=3]; 1020 -> 1211[label="",style="dashed", color="magenta", weight=3]; 1021 -> 839[label="",style="dashed", color="red", weight=0]; 1021[label="xy530 == xy5710",fontsize=16,color="magenta"];1021 -> 1212[label="",style="dashed", color="magenta", weight=3]; 1021 -> 1213[label="",style="dashed", color="magenta", weight=3]; 1022 -> 840[label="",style="dashed", color="red", weight=0]; 1022[label="xy530 == xy5710",fontsize=16,color="magenta"];1022 -> 1214[label="",style="dashed", color="magenta", weight=3]; 1022 -> 1215[label="",style="dashed", color="magenta", weight=3]; 1023 -> 841[label="",style="dashed", color="red", weight=0]; 1023[label="xy530 == xy5710",fontsize=16,color="magenta"];1023 -> 1216[label="",style="dashed", color="magenta", weight=3]; 1023 -> 1217[label="",style="dashed", color="magenta", weight=3]; 1024 -> 842[label="",style="dashed", color="red", weight=0]; 1024[label="xy530 == xy5710",fontsize=16,color="magenta"];1024 -> 1218[label="",style="dashed", color="magenta", weight=3]; 1024 -> 1219[label="",style="dashed", color="magenta", weight=3]; 1025 -> 843[label="",style="dashed", color="red", weight=0]; 1025[label="xy530 == xy5710",fontsize=16,color="magenta"];1025 -> 1220[label="",style="dashed", color="magenta", weight=3]; 1025 -> 1221[label="",style="dashed", color="magenta", weight=3]; 1026 -> 844[label="",style="dashed", color="red", weight=0]; 1026[label="xy530 == xy5710",fontsize=16,color="magenta"];1026 -> 1222[label="",style="dashed", color="magenta", weight=3]; 1026 -> 1223[label="",style="dashed", color="magenta", weight=3]; 1027 -> 845[label="",style="dashed", color="red", weight=0]; 1027[label="xy530 == xy5710",fontsize=16,color="magenta"];1027 -> 1224[label="",style="dashed", color="magenta", weight=3]; 1027 -> 1225[label="",style="dashed", color="magenta", weight=3]; 1028[label="xy5711",fontsize=16,color="green",shape="box"];1029[label="xy531",fontsize=16,color="green",shape="box"];1030[label="primEqNat (Succ xy5400) xy5700",fontsize=16,color="burlywood",shape="box"];1737[label="xy5700/Succ xy57000",fontsize=10,color="white",style="solid",shape="box"];1030 -> 1737[label="",style="solid", color="burlywood", weight=9]; 1737 -> 1226[label="",style="solid", color="burlywood", weight=3]; 1738[label="xy5700/Zero",fontsize=10,color="white",style="solid",shape="box"];1030 -> 1738[label="",style="solid", color="burlywood", weight=9]; 1738 -> 1227[label="",style="solid", color="burlywood", weight=3]; 1031[label="primEqNat Zero xy5700",fontsize=16,color="burlywood",shape="box"];1739[label="xy5700/Succ xy57000",fontsize=10,color="white",style="solid",shape="box"];1031 -> 1739[label="",style="solid", color="burlywood", weight=9]; 1739 -> 1228[label="",style="solid", color="burlywood", weight=3]; 1740[label="xy5700/Zero",fontsize=10,color="white",style="solid",shape="box"];1031 -> 1740[label="",style="solid", color="burlywood", weight=9]; 1740 -> 1229[label="",style="solid", color="burlywood", weight=3]; 1032 -> 832[label="",style="dashed", color="red", weight=0]; 1032[label="xy540 == xy5700",fontsize=16,color="magenta"];1032 -> 1230[label="",style="dashed", color="magenta", weight=3]; 1032 -> 1231[label="",style="dashed", color="magenta", weight=3]; 1033 -> 833[label="",style="dashed", color="red", weight=0]; 1033[label="xy540 == xy5700",fontsize=16,color="magenta"];1033 -> 1232[label="",style="dashed", color="magenta", weight=3]; 1033 -> 1233[label="",style="dashed", color="magenta", weight=3]; 1034 -> 834[label="",style="dashed", color="red", weight=0]; 1034[label="xy540 == xy5700",fontsize=16,color="magenta"];1034 -> 1234[label="",style="dashed", color="magenta", weight=3]; 1034 -> 1235[label="",style="dashed", color="magenta", weight=3]; 1035 -> 835[label="",style="dashed", color="red", weight=0]; 1035[label="xy540 == xy5700",fontsize=16,color="magenta"];1035 -> 1236[label="",style="dashed", color="magenta", weight=3]; 1035 -> 1237[label="",style="dashed", color="magenta", weight=3]; 1036 -> 836[label="",style="dashed", color="red", weight=0]; 1036[label="xy540 == xy5700",fontsize=16,color="magenta"];1036 -> 1238[label="",style="dashed", color="magenta", weight=3]; 1036 -> 1239[label="",style="dashed", color="magenta", weight=3]; 1037 -> 837[label="",style="dashed", color="red", weight=0]; 1037[label="xy540 == xy5700",fontsize=16,color="magenta"];1037 -> 1240[label="",style="dashed", color="magenta", weight=3]; 1037 -> 1241[label="",style="dashed", color="magenta", weight=3]; 1038 -> 838[label="",style="dashed", color="red", weight=0]; 1038[label="xy540 == xy5700",fontsize=16,color="magenta"];1038 -> 1242[label="",style="dashed", color="magenta", weight=3]; 1038 -> 1243[label="",style="dashed", color="magenta", weight=3]; 1039 -> 839[label="",style="dashed", color="red", weight=0]; 1039[label="xy540 == xy5700",fontsize=16,color="magenta"];1039 -> 1244[label="",style="dashed", color="magenta", weight=3]; 1039 -> 1245[label="",style="dashed", color="magenta", weight=3]; 1040 -> 840[label="",style="dashed", color="red", weight=0]; 1040[label="xy540 == xy5700",fontsize=16,color="magenta"];1040 -> 1246[label="",style="dashed", color="magenta", weight=3]; 1040 -> 1247[label="",style="dashed", color="magenta", weight=3]; 1041 -> 841[label="",style="dashed", color="red", weight=0]; 1041[label="xy540 == xy5700",fontsize=16,color="magenta"];1041 -> 1248[label="",style="dashed", color="magenta", weight=3]; 1041 -> 1249[label="",style="dashed", color="magenta", weight=3]; 1042 -> 842[label="",style="dashed", color="red", weight=0]; 1042[label="xy540 == xy5700",fontsize=16,color="magenta"];1042 -> 1250[label="",style="dashed", color="magenta", weight=3]; 1042 -> 1251[label="",style="dashed", color="magenta", weight=3]; 1043 -> 843[label="",style="dashed", color="red", weight=0]; 1043[label="xy540 == xy5700",fontsize=16,color="magenta"];1043 -> 1252[label="",style="dashed", color="magenta", weight=3]; 1043 -> 1253[label="",style="dashed", color="magenta", weight=3]; 1044 -> 844[label="",style="dashed", color="red", weight=0]; 1044[label="xy540 == xy5700",fontsize=16,color="magenta"];1044 -> 1254[label="",style="dashed", color="magenta", weight=3]; 1044 -> 1255[label="",style="dashed", color="magenta", weight=3]; 1045 -> 845[label="",style="dashed", color="red", weight=0]; 1045[label="xy540 == xy5700",fontsize=16,color="magenta"];1045 -> 1256[label="",style="dashed", color="magenta", weight=3]; 1045 -> 1257[label="",style="dashed", color="magenta", weight=3]; 1046 -> 832[label="",style="dashed", color="red", weight=0]; 1046[label="xy541 == xy5701",fontsize=16,color="magenta"];1046 -> 1258[label="",style="dashed", color="magenta", weight=3]; 1046 -> 1259[label="",style="dashed", color="magenta", weight=3]; 1047 -> 833[label="",style="dashed", color="red", weight=0]; 1047[label="xy541 == xy5701",fontsize=16,color="magenta"];1047 -> 1260[label="",style="dashed", color="magenta", weight=3]; 1047 -> 1261[label="",style="dashed", color="magenta", weight=3]; 1048 -> 834[label="",style="dashed", color="red", weight=0]; 1048[label="xy541 == xy5701",fontsize=16,color="magenta"];1048 -> 1262[label="",style="dashed", color="magenta", weight=3]; 1048 -> 1263[label="",style="dashed", color="magenta", weight=3]; 1049 -> 835[label="",style="dashed", color="red", weight=0]; 1049[label="xy541 == xy5701",fontsize=16,color="magenta"];1049 -> 1264[label="",style="dashed", color="magenta", weight=3]; 1049 -> 1265[label="",style="dashed", color="magenta", weight=3]; 1050 -> 836[label="",style="dashed", color="red", weight=0]; 1050[label="xy541 == xy5701",fontsize=16,color="magenta"];1050 -> 1266[label="",style="dashed", color="magenta", weight=3]; 1050 -> 1267[label="",style="dashed", color="magenta", weight=3]; 1051 -> 837[label="",style="dashed", color="red", weight=0]; 1051[label="xy541 == xy5701",fontsize=16,color="magenta"];1051 -> 1268[label="",style="dashed", color="magenta", weight=3]; 1051 -> 1269[label="",style="dashed", color="magenta", weight=3]; 1052 -> 838[label="",style="dashed", color="red", weight=0]; 1052[label="xy541 == xy5701",fontsize=16,color="magenta"];1052 -> 1270[label="",style="dashed", color="magenta", weight=3]; 1052 -> 1271[label="",style="dashed", color="magenta", weight=3]; 1053 -> 839[label="",style="dashed", color="red", weight=0]; 1053[label="xy541 == xy5701",fontsize=16,color="magenta"];1053 -> 1272[label="",style="dashed", color="magenta", weight=3]; 1053 -> 1273[label="",style="dashed", color="magenta", weight=3]; 1054 -> 840[label="",style="dashed", color="red", weight=0]; 1054[label="xy541 == xy5701",fontsize=16,color="magenta"];1054 -> 1274[label="",style="dashed", color="magenta", weight=3]; 1054 -> 1275[label="",style="dashed", color="magenta", weight=3]; 1055 -> 841[label="",style="dashed", color="red", weight=0]; 1055[label="xy541 == xy5701",fontsize=16,color="magenta"];1055 -> 1276[label="",style="dashed", color="magenta", weight=3]; 1055 -> 1277[label="",style="dashed", color="magenta", weight=3]; 1056 -> 842[label="",style="dashed", color="red", weight=0]; 1056[label="xy541 == xy5701",fontsize=16,color="magenta"];1056 -> 1278[label="",style="dashed", color="magenta", weight=3]; 1056 -> 1279[label="",style="dashed", color="magenta", weight=3]; 1057 -> 843[label="",style="dashed", color="red", weight=0]; 1057[label="xy541 == xy5701",fontsize=16,color="magenta"];1057 -> 1280[label="",style="dashed", color="magenta", weight=3]; 1057 -> 1281[label="",style="dashed", color="magenta", weight=3]; 1058 -> 844[label="",style="dashed", color="red", weight=0]; 1058[label="xy541 == xy5701",fontsize=16,color="magenta"];1058 -> 1282[label="",style="dashed", color="magenta", weight=3]; 1058 -> 1283[label="",style="dashed", color="magenta", weight=3]; 1059 -> 845[label="",style="dashed", color="red", weight=0]; 1059[label="xy541 == xy5701",fontsize=16,color="magenta"];1059 -> 1284[label="",style="dashed", color="magenta", weight=3]; 1059 -> 1285[label="",style="dashed", color="magenta", weight=3]; 1060 -> 836[label="",style="dashed", color="red", weight=0]; 1060[label="xy540 == xy5700",fontsize=16,color="magenta"];1060 -> 1286[label="",style="dashed", color="magenta", weight=3]; 1060 -> 1287[label="",style="dashed", color="magenta", weight=3]; 1061 -> 844[label="",style="dashed", color="red", weight=0]; 1061[label="xy540 == xy5700",fontsize=16,color="magenta"];1061 -> 1288[label="",style="dashed", color="magenta", weight=3]; 1061 -> 1289[label="",style="dashed", color="magenta", weight=3]; 1062 -> 836[label="",style="dashed", color="red", weight=0]; 1062[label="xy541 == xy5701",fontsize=16,color="magenta"];1062 -> 1290[label="",style="dashed", color="magenta", weight=3]; 1062 -> 1291[label="",style="dashed", color="magenta", weight=3]; 1063 -> 844[label="",style="dashed", color="red", weight=0]; 1063[label="xy541 == xy5701",fontsize=16,color="magenta"];1063 -> 1292[label="",style="dashed", color="magenta", weight=3]; 1063 -> 1293[label="",style="dashed", color="magenta", weight=3]; 1064[label="xy5700",fontsize=16,color="green",shape="box"];1065[label="xy540",fontsize=16,color="green",shape="box"];1066[label="xy5700",fontsize=16,color="green",shape="box"];1067[label="xy540",fontsize=16,color="green",shape="box"];1068[label="xy5700",fontsize=16,color="green",shape="box"];1069[label="xy540",fontsize=16,color="green",shape="box"];1070[label="xy5700",fontsize=16,color="green",shape="box"];1071[label="xy540",fontsize=16,color="green",shape="box"];1072[label="xy5700",fontsize=16,color="green",shape="box"];1073[label="xy540",fontsize=16,color="green",shape="box"];1074[label="xy5700",fontsize=16,color="green",shape="box"];1075[label="xy540",fontsize=16,color="green",shape="box"];1076[label="xy5700",fontsize=16,color="green",shape="box"];1077[label="xy540",fontsize=16,color="green",shape="box"];1078[label="xy5700",fontsize=16,color="green",shape="box"];1079[label="xy540",fontsize=16,color="green",shape="box"];1080[label="xy5700",fontsize=16,color="green",shape="box"];1081[label="xy540",fontsize=16,color="green",shape="box"];1082[label="xy5700",fontsize=16,color="green",shape="box"];1083[label="xy540",fontsize=16,color="green",shape="box"];1084[label="xy5700",fontsize=16,color="green",shape="box"];1085[label="xy540",fontsize=16,color="green",shape="box"];1086[label="xy5700",fontsize=16,color="green",shape="box"];1087[label="xy540",fontsize=16,color="green",shape="box"];1088[label="xy5700",fontsize=16,color="green",shape="box"];1089[label="xy540",fontsize=16,color="green",shape="box"];1090[label="xy5700",fontsize=16,color="green",shape="box"];1091[label="xy540",fontsize=16,color="green",shape="box"];1092 -> 832[label="",style="dashed", color="red", weight=0]; 1092[label="xy540 == xy5700",fontsize=16,color="magenta"];1092 -> 1294[label="",style="dashed", color="magenta", weight=3]; 1092 -> 1295[label="",style="dashed", color="magenta", weight=3]; 1093 -> 833[label="",style="dashed", color="red", weight=0]; 1093[label="xy540 == xy5700",fontsize=16,color="magenta"];1093 -> 1296[label="",style="dashed", color="magenta", weight=3]; 1093 -> 1297[label="",style="dashed", color="magenta", weight=3]; 1094 -> 834[label="",style="dashed", color="red", weight=0]; 1094[label="xy540 == xy5700",fontsize=16,color="magenta"];1094 -> 1298[label="",style="dashed", color="magenta", weight=3]; 1094 -> 1299[label="",style="dashed", color="magenta", weight=3]; 1095 -> 835[label="",style="dashed", color="red", weight=0]; 1095[label="xy540 == xy5700",fontsize=16,color="magenta"];1095 -> 1300[label="",style="dashed", color="magenta", weight=3]; 1095 -> 1301[label="",style="dashed", color="magenta", weight=3]; 1096 -> 836[label="",style="dashed", color="red", weight=0]; 1096[label="xy540 == xy5700",fontsize=16,color="magenta"];1096 -> 1302[label="",style="dashed", color="magenta", weight=3]; 1096 -> 1303[label="",style="dashed", color="magenta", weight=3]; 1097 -> 837[label="",style="dashed", color="red", weight=0]; 1097[label="xy540 == xy5700",fontsize=16,color="magenta"];1097 -> 1304[label="",style="dashed", color="magenta", weight=3]; 1097 -> 1305[label="",style="dashed", color="magenta", weight=3]; 1098 -> 838[label="",style="dashed", color="red", weight=0]; 1098[label="xy540 == xy5700",fontsize=16,color="magenta"];1098 -> 1306[label="",style="dashed", color="magenta", weight=3]; 1098 -> 1307[label="",style="dashed", color="magenta", weight=3]; 1099 -> 839[label="",style="dashed", color="red", weight=0]; 1099[label="xy540 == xy5700",fontsize=16,color="magenta"];1099 -> 1308[label="",style="dashed", color="magenta", weight=3]; 1099 -> 1309[label="",style="dashed", color="magenta", weight=3]; 1100 -> 840[label="",style="dashed", color="red", weight=0]; 1100[label="xy540 == xy5700",fontsize=16,color="magenta"];1100 -> 1310[label="",style="dashed", color="magenta", weight=3]; 1100 -> 1311[label="",style="dashed", color="magenta", weight=3]; 1101 -> 841[label="",style="dashed", color="red", weight=0]; 1101[label="xy540 == xy5700",fontsize=16,color="magenta"];1101 -> 1312[label="",style="dashed", color="magenta", weight=3]; 1101 -> 1313[label="",style="dashed", color="magenta", weight=3]; 1102 -> 842[label="",style="dashed", color="red", weight=0]; 1102[label="xy540 == xy5700",fontsize=16,color="magenta"];1102 -> 1314[label="",style="dashed", color="magenta", weight=3]; 1102 -> 1315[label="",style="dashed", color="magenta", weight=3]; 1103 -> 843[label="",style="dashed", color="red", weight=0]; 1103[label="xy540 == xy5700",fontsize=16,color="magenta"];1103 -> 1316[label="",style="dashed", color="magenta", weight=3]; 1103 -> 1317[label="",style="dashed", color="magenta", weight=3]; 1104 -> 844[label="",style="dashed", color="red", weight=0]; 1104[label="xy540 == xy5700",fontsize=16,color="magenta"];1104 -> 1318[label="",style="dashed", color="magenta", weight=3]; 1104 -> 1319[label="",style="dashed", color="magenta", weight=3]; 1105 -> 845[label="",style="dashed", color="red", weight=0]; 1105[label="xy540 == xy5700",fontsize=16,color="magenta"];1105 -> 1320[label="",style="dashed", color="magenta", weight=3]; 1105 -> 1321[label="",style="dashed", color="magenta", weight=3]; 1106[label="xy5701",fontsize=16,color="green",shape="box"];1107[label="xy541",fontsize=16,color="green",shape="box"];1108[label="xy541 * xy5700",fontsize=16,color="black",shape="triangle"];1108 -> 1322[label="",style="solid", color="black", weight=3]; 1109 -> 1108[label="",style="dashed", color="red", weight=0]; 1109[label="xy540 * xy5701",fontsize=16,color="magenta"];1109 -> 1323[label="",style="dashed", color="magenta", weight=3]; 1109 -> 1324[label="",style="dashed", color="magenta", weight=3]; 1110 -> 832[label="",style="dashed", color="red", weight=0]; 1110[label="xy540 == xy5700",fontsize=16,color="magenta"];1110 -> 1325[label="",style="dashed", color="magenta", weight=3]; 1110 -> 1326[label="",style="dashed", color="magenta", weight=3]; 1111 -> 833[label="",style="dashed", color="red", weight=0]; 1111[label="xy540 == xy5700",fontsize=16,color="magenta"];1111 -> 1327[label="",style="dashed", color="magenta", weight=3]; 1111 -> 1328[label="",style="dashed", color="magenta", weight=3]; 1112 -> 834[label="",style="dashed", color="red", weight=0]; 1112[label="xy540 == xy5700",fontsize=16,color="magenta"];1112 -> 1329[label="",style="dashed", color="magenta", weight=3]; 1112 -> 1330[label="",style="dashed", color="magenta", weight=3]; 1113 -> 835[label="",style="dashed", color="red", weight=0]; 1113[label="xy540 == xy5700",fontsize=16,color="magenta"];1113 -> 1331[label="",style="dashed", color="magenta", weight=3]; 1113 -> 1332[label="",style="dashed", color="magenta", weight=3]; 1114 -> 836[label="",style="dashed", color="red", weight=0]; 1114[label="xy540 == xy5700",fontsize=16,color="magenta"];1114 -> 1333[label="",style="dashed", color="magenta", weight=3]; 1114 -> 1334[label="",style="dashed", color="magenta", weight=3]; 1115 -> 837[label="",style="dashed", color="red", weight=0]; 1115[label="xy540 == xy5700",fontsize=16,color="magenta"];1115 -> 1335[label="",style="dashed", color="magenta", weight=3]; 1115 -> 1336[label="",style="dashed", color="magenta", weight=3]; 1116 -> 838[label="",style="dashed", color="red", weight=0]; 1116[label="xy540 == xy5700",fontsize=16,color="magenta"];1116 -> 1337[label="",style="dashed", color="magenta", weight=3]; 1116 -> 1338[label="",style="dashed", color="magenta", weight=3]; 1117 -> 839[label="",style="dashed", color="red", weight=0]; 1117[label="xy540 == xy5700",fontsize=16,color="magenta"];1117 -> 1339[label="",style="dashed", color="magenta", weight=3]; 1117 -> 1340[label="",style="dashed", color="magenta", weight=3]; 1118 -> 840[label="",style="dashed", color="red", weight=0]; 1118[label="xy540 == xy5700",fontsize=16,color="magenta"];1118 -> 1341[label="",style="dashed", color="magenta", weight=3]; 1118 -> 1342[label="",style="dashed", color="magenta", weight=3]; 1119 -> 841[label="",style="dashed", color="red", weight=0]; 1119[label="xy540 == xy5700",fontsize=16,color="magenta"];1119 -> 1343[label="",style="dashed", color="magenta", weight=3]; 1119 -> 1344[label="",style="dashed", color="magenta", weight=3]; 1120 -> 842[label="",style="dashed", color="red", weight=0]; 1120[label="xy540 == xy5700",fontsize=16,color="magenta"];1120 -> 1345[label="",style="dashed", color="magenta", weight=3]; 1120 -> 1346[label="",style="dashed", color="magenta", weight=3]; 1121 -> 843[label="",style="dashed", color="red", weight=0]; 1121[label="xy540 == xy5700",fontsize=16,color="magenta"];1121 -> 1347[label="",style="dashed", color="magenta", weight=3]; 1121 -> 1348[label="",style="dashed", color="magenta", weight=3]; 1122 -> 844[label="",style="dashed", color="red", weight=0]; 1122[label="xy540 == xy5700",fontsize=16,color="magenta"];1122 -> 1349[label="",style="dashed", color="magenta", weight=3]; 1122 -> 1350[label="",style="dashed", color="magenta", weight=3]; 1123 -> 845[label="",style="dashed", color="red", weight=0]; 1123[label="xy540 == xy5700",fontsize=16,color="magenta"];1123 -> 1351[label="",style="dashed", color="magenta", weight=3]; 1123 -> 1352[label="",style="dashed", color="magenta", weight=3]; 1124[label="xy541 == xy5701",fontsize=16,color="blue",shape="box"];1741[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];1124 -> 1741[label="",style="solid", color="blue", weight=9]; 1741 -> 1353[label="",style="solid", color="blue", weight=3]; 1742[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];1124 -> 1742[label="",style="solid", color="blue", weight=9]; 1742 -> 1354[label="",style="solid", color="blue", weight=3]; 1743[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];1124 -> 1743[label="",style="solid", color="blue", weight=9]; 1743 -> 1355[label="",style="solid", color="blue", weight=3]; 1744[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];1124 -> 1744[label="",style="solid", color="blue", weight=9]; 1744 -> 1356[label="",style="solid", color="blue", weight=3]; 1745[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];1124 -> 1745[label="",style="solid", color="blue", weight=9]; 1745 -> 1357[label="",style="solid", color="blue", weight=3]; 1746[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];1124 -> 1746[label="",style="solid", color="blue", weight=9]; 1746 -> 1358[label="",style="solid", color="blue", weight=3]; 1747[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];1124 -> 1747[label="",style="solid", color="blue", weight=9]; 1747 -> 1359[label="",style="solid", color="blue", weight=3]; 1748[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];1124 -> 1748[label="",style="solid", color="blue", weight=9]; 1748 -> 1360[label="",style="solid", color="blue", weight=3]; 1749[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];1124 -> 1749[label="",style="solid", color="blue", weight=9]; 1749 -> 1361[label="",style="solid", color="blue", weight=3]; 1750[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];1124 -> 1750[label="",style="solid", color="blue", weight=9]; 1750 -> 1362[label="",style="solid", color="blue", weight=3]; 1751[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];1124 -> 1751[label="",style="solid", color="blue", weight=9]; 1751 -> 1363[label="",style="solid", color="blue", weight=3]; 1752[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];1124 -> 1752[label="",style="solid", color="blue", weight=9]; 1752 -> 1364[label="",style="solid", color="blue", weight=3]; 1753[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];1124 -> 1753[label="",style="solid", color="blue", weight=9]; 1753 -> 1365[label="",style="solid", color="blue", weight=3]; 1754[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];1124 -> 1754[label="",style="solid", color="blue", weight=9]; 1754 -> 1366[label="",style="solid", color="blue", weight=3]; 1125[label="xy542 == xy5702",fontsize=16,color="blue",shape="box"];1755[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];1125 -> 1755[label="",style="solid", color="blue", weight=9]; 1755 -> 1367[label="",style="solid", color="blue", weight=3]; 1756[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];1125 -> 1756[label="",style="solid", color="blue", weight=9]; 1756 -> 1368[label="",style="solid", color="blue", weight=3]; 1757[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];1125 -> 1757[label="",style="solid", color="blue", weight=9]; 1757 -> 1369[label="",style="solid", color="blue", weight=3]; 1758[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];1125 -> 1758[label="",style="solid", color="blue", weight=9]; 1758 -> 1370[label="",style="solid", color="blue", weight=3]; 1759[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];1125 -> 1759[label="",style="solid", color="blue", weight=9]; 1759 -> 1371[label="",style="solid", color="blue", weight=3]; 1760[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];1125 -> 1760[label="",style="solid", color="blue", weight=9]; 1760 -> 1372[label="",style="solid", color="blue", weight=3]; 1761[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];1125 -> 1761[label="",style="solid", color="blue", weight=9]; 1761 -> 1373[label="",style="solid", color="blue", weight=3]; 1762[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];1125 -> 1762[label="",style="solid", color="blue", weight=9]; 1762 -> 1374[label="",style="solid", color="blue", weight=3]; 1763[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];1125 -> 1763[label="",style="solid", color="blue", weight=9]; 1763 -> 1375[label="",style="solid", color="blue", weight=3]; 1764[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];1125 -> 1764[label="",style="solid", color="blue", weight=9]; 1764 -> 1376[label="",style="solid", color="blue", weight=3]; 1765[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];1125 -> 1765[label="",style="solid", color="blue", weight=9]; 1765 -> 1377[label="",style="solid", color="blue", weight=3]; 1766[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];1125 -> 1766[label="",style="solid", color="blue", weight=9]; 1766 -> 1378[label="",style="solid", color="blue", weight=3]; 1767[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];1125 -> 1767[label="",style="solid", color="blue", weight=9]; 1767 -> 1379[label="",style="solid", color="blue", weight=3]; 1768[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];1125 -> 1768[label="",style="solid", color="blue", weight=9]; 1768 -> 1380[label="",style="solid", color="blue", weight=3]; 1126 -> 1108[label="",style="dashed", color="red", weight=0]; 1126[label="xy541 * xy5700",fontsize=16,color="magenta"];1126 -> 1381[label="",style="dashed", color="magenta", weight=3]; 1126 -> 1382[label="",style="dashed", color="magenta", weight=3]; 1127 -> 1108[label="",style="dashed", color="red", weight=0]; 1127[label="xy540 * xy5701",fontsize=16,color="magenta"];1127 -> 1383[label="",style="dashed", color="magenta", weight=3]; 1127 -> 1384[label="",style="dashed", color="magenta", weight=3]; 1128[label="primEqInt (Pos (Succ xy5400)) (Pos (Succ xy57000))",fontsize=16,color="black",shape="box"];1128 -> 1385[label="",style="solid", color="black", weight=3]; 1129[label="primEqInt (Pos (Succ xy5400)) (Pos Zero)",fontsize=16,color="black",shape="box"];1129 -> 1386[label="",style="solid", color="black", weight=3]; 1130[label="False",fontsize=16,color="green",shape="box"];1131[label="primEqInt (Pos Zero) (Pos (Succ xy57000))",fontsize=16,color="black",shape="box"];1131 -> 1387[label="",style="solid", color="black", weight=3]; 1132[label="primEqInt (Pos Zero) (Pos Zero)",fontsize=16,color="black",shape="box"];1132 -> 1388[label="",style="solid", color="black", weight=3]; 1133[label="primEqInt (Pos Zero) (Neg (Succ xy57000))",fontsize=16,color="black",shape="box"];1133 -> 1389[label="",style="solid", color="black", weight=3]; 1134[label="primEqInt (Pos Zero) (Neg Zero)",fontsize=16,color="black",shape="box"];1134 -> 1390[label="",style="solid", color="black", weight=3]; 1135[label="False",fontsize=16,color="green",shape="box"];1136[label="primEqInt (Neg (Succ xy5400)) (Neg (Succ xy57000))",fontsize=16,color="black",shape="box"];1136 -> 1391[label="",style="solid", color="black", weight=3]; 1137[label="primEqInt (Neg (Succ xy5400)) (Neg Zero)",fontsize=16,color="black",shape="box"];1137 -> 1392[label="",style="solid", color="black", weight=3]; 1138[label="primEqInt (Neg Zero) (Pos (Succ xy57000))",fontsize=16,color="black",shape="box"];1138 -> 1393[label="",style="solid", color="black", weight=3]; 1139[label="primEqInt (Neg Zero) (Pos Zero)",fontsize=16,color="black",shape="box"];1139 -> 1394[label="",style="solid", color="black", weight=3]; 1140[label="primEqInt (Neg Zero) (Neg (Succ xy57000))",fontsize=16,color="black",shape="box"];1140 -> 1395[label="",style="solid", color="black", weight=3]; 1141[label="primEqInt (Neg Zero) (Neg Zero)",fontsize=16,color="black",shape="box"];1141 -> 1396[label="",style="solid", color="black", weight=3]; 1142[label="xy5700",fontsize=16,color="green",shape="box"];1143[label="xy540",fontsize=16,color="green",shape="box"];1144[label="xy5700",fontsize=16,color="green",shape="box"];1145[label="xy540",fontsize=16,color="green",shape="box"];1146[label="xy5700",fontsize=16,color="green",shape="box"];1147[label="xy540",fontsize=16,color="green",shape="box"];1148[label="xy5700",fontsize=16,color="green",shape="box"];1149[label="xy540",fontsize=16,color="green",shape="box"];1150[label="xy5700",fontsize=16,color="green",shape="box"];1151[label="xy540",fontsize=16,color="green",shape="box"];1152[label="xy5700",fontsize=16,color="green",shape="box"];1153[label="xy540",fontsize=16,color="green",shape="box"];1154[label="xy5700",fontsize=16,color="green",shape="box"];1155[label="xy540",fontsize=16,color="green",shape="box"];1156[label="xy5700",fontsize=16,color="green",shape="box"];1157[label="xy540",fontsize=16,color="green",shape="box"];1158[label="xy5700",fontsize=16,color="green",shape="box"];1159[label="xy540",fontsize=16,color="green",shape="box"];1160[label="xy5700",fontsize=16,color="green",shape="box"];1161[label="xy540",fontsize=16,color="green",shape="box"];1162[label="xy5700",fontsize=16,color="green",shape="box"];1163[label="xy540",fontsize=16,color="green",shape="box"];1164[label="xy5700",fontsize=16,color="green",shape="box"];1165[label="xy540",fontsize=16,color="green",shape="box"];1166[label="xy5700",fontsize=16,color="green",shape="box"];1167[label="xy540",fontsize=16,color="green",shape="box"];1168[label="xy5700",fontsize=16,color="green",shape="box"];1169[label="xy540",fontsize=16,color="green",shape="box"];1170[label="xy5700",fontsize=16,color="green",shape="box"];1171[label="xy540",fontsize=16,color="green",shape="box"];1172[label="xy5700",fontsize=16,color="green",shape="box"];1173[label="xy540",fontsize=16,color="green",shape="box"];1174[label="xy5700",fontsize=16,color="green",shape="box"];1175[label="xy540",fontsize=16,color="green",shape="box"];1176[label="xy5700",fontsize=16,color="green",shape="box"];1177[label="xy540",fontsize=16,color="green",shape="box"];1178[label="xy5700",fontsize=16,color="green",shape="box"];1179[label="xy540",fontsize=16,color="green",shape="box"];1180[label="xy5700",fontsize=16,color="green",shape="box"];1181[label="xy540",fontsize=16,color="green",shape="box"];1182[label="xy5700",fontsize=16,color="green",shape="box"];1183[label="xy540",fontsize=16,color="green",shape="box"];1184[label="xy5700",fontsize=16,color="green",shape="box"];1185[label="xy540",fontsize=16,color="green",shape="box"];1186[label="xy5700",fontsize=16,color="green",shape="box"];1187[label="xy540",fontsize=16,color="green",shape="box"];1188[label="xy5700",fontsize=16,color="green",shape="box"];1189[label="xy540",fontsize=16,color="green",shape="box"];1190[label="xy5700",fontsize=16,color="green",shape="box"];1191[label="xy540",fontsize=16,color="green",shape="box"];1192[label="xy5700",fontsize=16,color="green",shape="box"];1193[label="xy540",fontsize=16,color="green",shape="box"];1194[label="xy5700",fontsize=16,color="green",shape="box"];1195[label="xy540",fontsize=16,color="green",shape="box"];1196[label="xy5700",fontsize=16,color="green",shape="box"];1197[label="xy540",fontsize=16,color="green",shape="box"];1198[label="xy5710",fontsize=16,color="green",shape="box"];1199[label="xy530",fontsize=16,color="green",shape="box"];1200[label="xy5710",fontsize=16,color="green",shape="box"];1201[label="xy530",fontsize=16,color="green",shape="box"];1202[label="xy5710",fontsize=16,color="green",shape="box"];1203[label="xy530",fontsize=16,color="green",shape="box"];1204[label="xy5710",fontsize=16,color="green",shape="box"];1205[label="xy530",fontsize=16,color="green",shape="box"];1206[label="xy5710",fontsize=16,color="green",shape="box"];1207[label="xy530",fontsize=16,color="green",shape="box"];1208[label="xy5710",fontsize=16,color="green",shape="box"];1209[label="xy530",fontsize=16,color="green",shape="box"];1210[label="xy5710",fontsize=16,color="green",shape="box"];1211[label="xy530",fontsize=16,color="green",shape="box"];1212[label="xy5710",fontsize=16,color="green",shape="box"];1213[label="xy530",fontsize=16,color="green",shape="box"];1214[label="xy5710",fontsize=16,color="green",shape="box"];1215[label="xy530",fontsize=16,color="green",shape="box"];1216[label="xy5710",fontsize=16,color="green",shape="box"];1217[label="xy530",fontsize=16,color="green",shape="box"];1218[label="xy5710",fontsize=16,color="green",shape="box"];1219[label="xy530",fontsize=16,color="green",shape="box"];1220[label="xy5710",fontsize=16,color="green",shape="box"];1221[label="xy530",fontsize=16,color="green",shape="box"];1222[label="xy5710",fontsize=16,color="green",shape="box"];1223[label="xy530",fontsize=16,color="green",shape="box"];1224[label="xy5710",fontsize=16,color="green",shape="box"];1225[label="xy530",fontsize=16,color="green",shape="box"];1226[label="primEqNat (Succ xy5400) (Succ xy57000)",fontsize=16,color="black",shape="box"];1226 -> 1397[label="",style="solid", color="black", weight=3]; 1227[label="primEqNat (Succ xy5400) Zero",fontsize=16,color="black",shape="box"];1227 -> 1398[label="",style="solid", color="black", weight=3]; 1228[label="primEqNat Zero (Succ xy57000)",fontsize=16,color="black",shape="box"];1228 -> 1399[label="",style="solid", color="black", weight=3]; 1229[label="primEqNat Zero Zero",fontsize=16,color="black",shape="box"];1229 -> 1400[label="",style="solid", color="black", weight=3]; 1230[label="xy5700",fontsize=16,color="green",shape="box"];1231[label="xy540",fontsize=16,color="green",shape="box"];1232[label="xy5700",fontsize=16,color="green",shape="box"];1233[label="xy540",fontsize=16,color="green",shape="box"];1234[label="xy5700",fontsize=16,color="green",shape="box"];1235[label="xy540",fontsize=16,color="green",shape="box"];1236[label="xy5700",fontsize=16,color="green",shape="box"];1237[label="xy540",fontsize=16,color="green",shape="box"];1238[label="xy5700",fontsize=16,color="green",shape="box"];1239[label="xy540",fontsize=16,color="green",shape="box"];1240[label="xy5700",fontsize=16,color="green",shape="box"];1241[label="xy540",fontsize=16,color="green",shape="box"];1242[label="xy5700",fontsize=16,color="green",shape="box"];1243[label="xy540",fontsize=16,color="green",shape="box"];1244[label="xy5700",fontsize=16,color="green",shape="box"];1245[label="xy540",fontsize=16,color="green",shape="box"];1246[label="xy5700",fontsize=16,color="green",shape="box"];1247[label="xy540",fontsize=16,color="green",shape="box"];1248[label="xy5700",fontsize=16,color="green",shape="box"];1249[label="xy540",fontsize=16,color="green",shape="box"];1250[label="xy5700",fontsize=16,color="green",shape="box"];1251[label="xy540",fontsize=16,color="green",shape="box"];1252[label="xy5700",fontsize=16,color="green",shape="box"];1253[label="xy540",fontsize=16,color="green",shape="box"];1254[label="xy5700",fontsize=16,color="green",shape="box"];1255[label="xy540",fontsize=16,color="green",shape="box"];1256[label="xy5700",fontsize=16,color="green",shape="box"];1257[label="xy540",fontsize=16,color="green",shape="box"];1258[label="xy5701",fontsize=16,color="green",shape="box"];1259[label="xy541",fontsize=16,color="green",shape="box"];1260[label="xy5701",fontsize=16,color="green",shape="box"];1261[label="xy541",fontsize=16,color="green",shape="box"];1262[label="xy5701",fontsize=16,color="green",shape="box"];1263[label="xy541",fontsize=16,color="green",shape="box"];1264[label="xy5701",fontsize=16,color="green",shape="box"];1265[label="xy541",fontsize=16,color="green",shape="box"];1266[label="xy5701",fontsize=16,color="green",shape="box"];1267[label="xy541",fontsize=16,color="green",shape="box"];1268[label="xy5701",fontsize=16,color="green",shape="box"];1269[label="xy541",fontsize=16,color="green",shape="box"];1270[label="xy5701",fontsize=16,color="green",shape="box"];1271[label="xy541",fontsize=16,color="green",shape="box"];1272[label="xy5701",fontsize=16,color="green",shape="box"];1273[label="xy541",fontsize=16,color="green",shape="box"];1274[label="xy5701",fontsize=16,color="green",shape="box"];1275[label="xy541",fontsize=16,color="green",shape="box"];1276[label="xy5701",fontsize=16,color="green",shape="box"];1277[label="xy541",fontsize=16,color="green",shape="box"];1278[label="xy5701",fontsize=16,color="green",shape="box"];1279[label="xy541",fontsize=16,color="green",shape="box"];1280[label="xy5701",fontsize=16,color="green",shape="box"];1281[label="xy541",fontsize=16,color="green",shape="box"];1282[label="xy5701",fontsize=16,color="green",shape="box"];1283[label="xy541",fontsize=16,color="green",shape="box"];1284[label="xy5701",fontsize=16,color="green",shape="box"];1285[label="xy541",fontsize=16,color="green",shape="box"];1286[label="xy5700",fontsize=16,color="green",shape="box"];1287[label="xy540",fontsize=16,color="green",shape="box"];1288[label="xy5700",fontsize=16,color="green",shape="box"];1289[label="xy540",fontsize=16,color="green",shape="box"];1290[label="xy5701",fontsize=16,color="green",shape="box"];1291[label="xy541",fontsize=16,color="green",shape="box"];1292[label="xy5701",fontsize=16,color="green",shape="box"];1293[label="xy541",fontsize=16,color="green",shape="box"];1294[label="xy5700",fontsize=16,color="green",shape="box"];1295[label="xy540",fontsize=16,color="green",shape="box"];1296[label="xy5700",fontsize=16,color="green",shape="box"];1297[label="xy540",fontsize=16,color="green",shape="box"];1298[label="xy5700",fontsize=16,color="green",shape="box"];1299[label="xy540",fontsize=16,color="green",shape="box"];1300[label="xy5700",fontsize=16,color="green",shape="box"];1301[label="xy540",fontsize=16,color="green",shape="box"];1302[label="xy5700",fontsize=16,color="green",shape="box"];1303[label="xy540",fontsize=16,color="green",shape="box"];1304[label="xy5700",fontsize=16,color="green",shape="box"];1305[label="xy540",fontsize=16,color="green",shape="box"];1306[label="xy5700",fontsize=16,color="green",shape="box"];1307[label="xy540",fontsize=16,color="green",shape="box"];1308[label="xy5700",fontsize=16,color="green",shape="box"];1309[label="xy540",fontsize=16,color="green",shape="box"];1310[label="xy5700",fontsize=16,color="green",shape="box"];1311[label="xy540",fontsize=16,color="green",shape="box"];1312[label="xy5700",fontsize=16,color="green",shape="box"];1313[label="xy540",fontsize=16,color="green",shape="box"];1314[label="xy5700",fontsize=16,color="green",shape="box"];1315[label="xy540",fontsize=16,color="green",shape="box"];1316[label="xy5700",fontsize=16,color="green",shape="box"];1317[label="xy540",fontsize=16,color="green",shape="box"];1318[label="xy5700",fontsize=16,color="green",shape="box"];1319[label="xy540",fontsize=16,color="green",shape="box"];1320[label="xy5700",fontsize=16,color="green",shape="box"];1321[label="xy540",fontsize=16,color="green",shape="box"];1322[label="primMulInt xy541 xy5700",fontsize=16,color="burlywood",shape="box"];1769[label="xy541/Pos xy5410",fontsize=10,color="white",style="solid",shape="box"];1322 -> 1769[label="",style="solid", color="burlywood", weight=9]; 1769 -> 1401[label="",style="solid", color="burlywood", weight=3]; 1770[label="xy541/Neg xy5410",fontsize=10,color="white",style="solid",shape="box"];1322 -> 1770[label="",style="solid", color="burlywood", weight=9]; 1770 -> 1402[label="",style="solid", color="burlywood", weight=3]; 1323[label="xy540",fontsize=16,color="green",shape="box"];1324[label="xy5701",fontsize=16,color="green",shape="box"];1325[label="xy5700",fontsize=16,color="green",shape="box"];1326[label="xy540",fontsize=16,color="green",shape="box"];1327[label="xy5700",fontsize=16,color="green",shape="box"];1328[label="xy540",fontsize=16,color="green",shape="box"];1329[label="xy5700",fontsize=16,color="green",shape="box"];1330[label="xy540",fontsize=16,color="green",shape="box"];1331[label="xy5700",fontsize=16,color="green",shape="box"];1332[label="xy540",fontsize=16,color="green",shape="box"];1333[label="xy5700",fontsize=16,color="green",shape="box"];1334[label="xy540",fontsize=16,color="green",shape="box"];1335[label="xy5700",fontsize=16,color="green",shape="box"];1336[label="xy540",fontsize=16,color="green",shape="box"];1337[label="xy5700",fontsize=16,color="green",shape="box"];1338[label="xy540",fontsize=16,color="green",shape="box"];1339[label="xy5700",fontsize=16,color="green",shape="box"];1340[label="xy540",fontsize=16,color="green",shape="box"];1341[label="xy5700",fontsize=16,color="green",shape="box"];1342[label="xy540",fontsize=16,color="green",shape="box"];1343[label="xy5700",fontsize=16,color="green",shape="box"];1344[label="xy540",fontsize=16,color="green",shape="box"];1345[label="xy5700",fontsize=16,color="green",shape="box"];1346[label="xy540",fontsize=16,color="green",shape="box"];1347[label="xy5700",fontsize=16,color="green",shape="box"];1348[label="xy540",fontsize=16,color="green",shape="box"];1349[label="xy5700",fontsize=16,color="green",shape="box"];1350[label="xy540",fontsize=16,color="green",shape="box"];1351[label="xy5700",fontsize=16,color="green",shape="box"];1352[label="xy540",fontsize=16,color="green",shape="box"];1353 -> 832[label="",style="dashed", color="red", weight=0]; 1353[label="xy541 == xy5701",fontsize=16,color="magenta"];1353 -> 1403[label="",style="dashed", color="magenta", weight=3]; 1353 -> 1404[label="",style="dashed", color="magenta", weight=3]; 1354 -> 833[label="",style="dashed", color="red", weight=0]; 1354[label="xy541 == xy5701",fontsize=16,color="magenta"];1354 -> 1405[label="",style="dashed", color="magenta", weight=3]; 1354 -> 1406[label="",style="dashed", color="magenta", weight=3]; 1355 -> 834[label="",style="dashed", color="red", weight=0]; 1355[label="xy541 == xy5701",fontsize=16,color="magenta"];1355 -> 1407[label="",style="dashed", color="magenta", weight=3]; 1355 -> 1408[label="",style="dashed", color="magenta", weight=3]; 1356 -> 835[label="",style="dashed", color="red", weight=0]; 1356[label="xy541 == xy5701",fontsize=16,color="magenta"];1356 -> 1409[label="",style="dashed", color="magenta", weight=3]; 1356 -> 1410[label="",style="dashed", color="magenta", weight=3]; 1357 -> 836[label="",style="dashed", color="red", weight=0]; 1357[label="xy541 == xy5701",fontsize=16,color="magenta"];1357 -> 1411[label="",style="dashed", color="magenta", weight=3]; 1357 -> 1412[label="",style="dashed", color="magenta", weight=3]; 1358 -> 837[label="",style="dashed", color="red", weight=0]; 1358[label="xy541 == xy5701",fontsize=16,color="magenta"];1358 -> 1413[label="",style="dashed", color="magenta", weight=3]; 1358 -> 1414[label="",style="dashed", color="magenta", weight=3]; 1359 -> 838[label="",style="dashed", color="red", weight=0]; 1359[label="xy541 == xy5701",fontsize=16,color="magenta"];1359 -> 1415[label="",style="dashed", color="magenta", weight=3]; 1359 -> 1416[label="",style="dashed", color="magenta", weight=3]; 1360 -> 839[label="",style="dashed", color="red", weight=0]; 1360[label="xy541 == xy5701",fontsize=16,color="magenta"];1360 -> 1417[label="",style="dashed", color="magenta", weight=3]; 1360 -> 1418[label="",style="dashed", color="magenta", weight=3]; 1361 -> 840[label="",style="dashed", color="red", weight=0]; 1361[label="xy541 == xy5701",fontsize=16,color="magenta"];1361 -> 1419[label="",style="dashed", color="magenta", weight=3]; 1361 -> 1420[label="",style="dashed", color="magenta", weight=3]; 1362 -> 841[label="",style="dashed", color="red", weight=0]; 1362[label="xy541 == xy5701",fontsize=16,color="magenta"];1362 -> 1421[label="",style="dashed", color="magenta", weight=3]; 1362 -> 1422[label="",style="dashed", color="magenta", weight=3]; 1363 -> 842[label="",style="dashed", color="red", weight=0]; 1363[label="xy541 == xy5701",fontsize=16,color="magenta"];1363 -> 1423[label="",style="dashed", color="magenta", weight=3]; 1363 -> 1424[label="",style="dashed", color="magenta", weight=3]; 1364 -> 843[label="",style="dashed", color="red", weight=0]; 1364[label="xy541 == xy5701",fontsize=16,color="magenta"];1364 -> 1425[label="",style="dashed", color="magenta", weight=3]; 1364 -> 1426[label="",style="dashed", color="magenta", weight=3]; 1365 -> 844[label="",style="dashed", color="red", weight=0]; 1365[label="xy541 == xy5701",fontsize=16,color="magenta"];1365 -> 1427[label="",style="dashed", color="magenta", weight=3]; 1365 -> 1428[label="",style="dashed", color="magenta", weight=3]; 1366 -> 845[label="",style="dashed", color="red", weight=0]; 1366[label="xy541 == xy5701",fontsize=16,color="magenta"];1366 -> 1429[label="",style="dashed", color="magenta", weight=3]; 1366 -> 1430[label="",style="dashed", color="magenta", weight=3]; 1367 -> 832[label="",style="dashed", color="red", weight=0]; 1367[label="xy542 == xy5702",fontsize=16,color="magenta"];1367 -> 1431[label="",style="dashed", color="magenta", weight=3]; 1367 -> 1432[label="",style="dashed", color="magenta", weight=3]; 1368 -> 833[label="",style="dashed", color="red", weight=0]; 1368[label="xy542 == xy5702",fontsize=16,color="magenta"];1368 -> 1433[label="",style="dashed", color="magenta", weight=3]; 1368 -> 1434[label="",style="dashed", color="magenta", weight=3]; 1369 -> 834[label="",style="dashed", color="red", weight=0]; 1369[label="xy542 == xy5702",fontsize=16,color="magenta"];1369 -> 1435[label="",style="dashed", color="magenta", weight=3]; 1369 -> 1436[label="",style="dashed", color="magenta", weight=3]; 1370 -> 835[label="",style="dashed", color="red", weight=0]; 1370[label="xy542 == xy5702",fontsize=16,color="magenta"];1370 -> 1437[label="",style="dashed", color="magenta", weight=3]; 1370 -> 1438[label="",style="dashed", color="magenta", weight=3]; 1371 -> 836[label="",style="dashed", color="red", weight=0]; 1371[label="xy542 == xy5702",fontsize=16,color="magenta"];1371 -> 1439[label="",style="dashed", color="magenta", weight=3]; 1371 -> 1440[label="",style="dashed", color="magenta", weight=3]; 1372 -> 837[label="",style="dashed", color="red", weight=0]; 1372[label="xy542 == xy5702",fontsize=16,color="magenta"];1372 -> 1441[label="",style="dashed", color="magenta", weight=3]; 1372 -> 1442[label="",style="dashed", color="magenta", weight=3]; 1373 -> 838[label="",style="dashed", color="red", weight=0]; 1373[label="xy542 == xy5702",fontsize=16,color="magenta"];1373 -> 1443[label="",style="dashed", color="magenta", weight=3]; 1373 -> 1444[label="",style="dashed", color="magenta", weight=3]; 1374 -> 839[label="",style="dashed", color="red", weight=0]; 1374[label="xy542 == xy5702",fontsize=16,color="magenta"];1374 -> 1445[label="",style="dashed", color="magenta", weight=3]; 1374 -> 1446[label="",style="dashed", color="magenta", weight=3]; 1375 -> 840[label="",style="dashed", color="red", weight=0]; 1375[label="xy542 == xy5702",fontsize=16,color="magenta"];1375 -> 1447[label="",style="dashed", color="magenta", weight=3]; 1375 -> 1448[label="",style="dashed", color="magenta", weight=3]; 1376 -> 841[label="",style="dashed", color="red", weight=0]; 1376[label="xy542 == xy5702",fontsize=16,color="magenta"];1376 -> 1449[label="",style="dashed", color="magenta", weight=3]; 1376 -> 1450[label="",style="dashed", color="magenta", weight=3]; 1377 -> 842[label="",style="dashed", color="red", weight=0]; 1377[label="xy542 == xy5702",fontsize=16,color="magenta"];1377 -> 1451[label="",style="dashed", color="magenta", weight=3]; 1377 -> 1452[label="",style="dashed", color="magenta", weight=3]; 1378 -> 843[label="",style="dashed", color="red", weight=0]; 1378[label="xy542 == xy5702",fontsize=16,color="magenta"];1378 -> 1453[label="",style="dashed", color="magenta", weight=3]; 1378 -> 1454[label="",style="dashed", color="magenta", weight=3]; 1379 -> 844[label="",style="dashed", color="red", weight=0]; 1379[label="xy542 == xy5702",fontsize=16,color="magenta"];1379 -> 1455[label="",style="dashed", color="magenta", weight=3]; 1379 -> 1456[label="",style="dashed", color="magenta", weight=3]; 1380 -> 845[label="",style="dashed", color="red", weight=0]; 1380[label="xy542 == xy5702",fontsize=16,color="magenta"];1380 -> 1457[label="",style="dashed", color="magenta", weight=3]; 1380 -> 1458[label="",style="dashed", color="magenta", weight=3]; 1381[label="xy541",fontsize=16,color="green",shape="box"];1382[label="xy5700",fontsize=16,color="green",shape="box"];1383[label="xy540",fontsize=16,color="green",shape="box"];1384[label="xy5701",fontsize=16,color="green",shape="box"];1385 -> 951[label="",style="dashed", color="red", weight=0]; 1385[label="primEqNat xy5400 xy57000",fontsize=16,color="magenta"];1385 -> 1459[label="",style="dashed", color="magenta", weight=3]; 1385 -> 1460[label="",style="dashed", color="magenta", weight=3]; 1386[label="False",fontsize=16,color="green",shape="box"];1387[label="False",fontsize=16,color="green",shape="box"];1388[label="True",fontsize=16,color="green",shape="box"];1389[label="False",fontsize=16,color="green",shape="box"];1390[label="True",fontsize=16,color="green",shape="box"];1391 -> 951[label="",style="dashed", color="red", weight=0]; 1391[label="primEqNat xy5400 xy57000",fontsize=16,color="magenta"];1391 -> 1461[label="",style="dashed", color="magenta", weight=3]; 1391 -> 1462[label="",style="dashed", color="magenta", weight=3]; 1392[label="False",fontsize=16,color="green",shape="box"];1393[label="False",fontsize=16,color="green",shape="box"];1394[label="True",fontsize=16,color="green",shape="box"];1395[label="False",fontsize=16,color="green",shape="box"];1396[label="True",fontsize=16,color="green",shape="box"];1397 -> 951[label="",style="dashed", color="red", weight=0]; 1397[label="primEqNat xy5400 xy57000",fontsize=16,color="magenta"];1397 -> 1463[label="",style="dashed", color="magenta", weight=3]; 1397 -> 1464[label="",style="dashed", color="magenta", weight=3]; 1398[label="False",fontsize=16,color="green",shape="box"];1399[label="False",fontsize=16,color="green",shape="box"];1400[label="True",fontsize=16,color="green",shape="box"];1401[label="primMulInt (Pos xy5410) xy5700",fontsize=16,color="burlywood",shape="box"];1771[label="xy5700/Pos xy57000",fontsize=10,color="white",style="solid",shape="box"];1401 -> 1771[label="",style="solid", color="burlywood", weight=9]; 1771 -> 1465[label="",style="solid", color="burlywood", weight=3]; 1772[label="xy5700/Neg xy57000",fontsize=10,color="white",style="solid",shape="box"];1401 -> 1772[label="",style="solid", color="burlywood", weight=9]; 1772 -> 1466[label="",style="solid", color="burlywood", weight=3]; 1402[label="primMulInt (Neg xy5410) xy5700",fontsize=16,color="burlywood",shape="box"];1773[label="xy5700/Pos xy57000",fontsize=10,color="white",style="solid",shape="box"];1402 -> 1773[label="",style="solid", color="burlywood", weight=9]; 1773 -> 1467[label="",style="solid", color="burlywood", weight=3]; 1774[label="xy5700/Neg xy57000",fontsize=10,color="white",style="solid",shape="box"];1402 -> 1774[label="",style="solid", color="burlywood", weight=9]; 1774 -> 1468[label="",style="solid", color="burlywood", weight=3]; 1403[label="xy5701",fontsize=16,color="green",shape="box"];1404[label="xy541",fontsize=16,color="green",shape="box"];1405[label="xy5701",fontsize=16,color="green",shape="box"];1406[label="xy541",fontsize=16,color="green",shape="box"];1407[label="xy5701",fontsize=16,color="green",shape="box"];1408[label="xy541",fontsize=16,color="green",shape="box"];1409[label="xy5701",fontsize=16,color="green",shape="box"];1410[label="xy541",fontsize=16,color="green",shape="box"];1411[label="xy5701",fontsize=16,color="green",shape="box"];1412[label="xy541",fontsize=16,color="green",shape="box"];1413[label="xy5701",fontsize=16,color="green",shape="box"];1414[label="xy541",fontsize=16,color="green",shape="box"];1415[label="xy5701",fontsize=16,color="green",shape="box"];1416[label="xy541",fontsize=16,color="green",shape="box"];1417[label="xy5701",fontsize=16,color="green",shape="box"];1418[label="xy541",fontsize=16,color="green",shape="box"];1419[label="xy5701",fontsize=16,color="green",shape="box"];1420[label="xy541",fontsize=16,color="green",shape="box"];1421[label="xy5701",fontsize=16,color="green",shape="box"];1422[label="xy541",fontsize=16,color="green",shape="box"];1423[label="xy5701",fontsize=16,color="green",shape="box"];1424[label="xy541",fontsize=16,color="green",shape="box"];1425[label="xy5701",fontsize=16,color="green",shape="box"];1426[label="xy541",fontsize=16,color="green",shape="box"];1427[label="xy5701",fontsize=16,color="green",shape="box"];1428[label="xy541",fontsize=16,color="green",shape="box"];1429[label="xy5701",fontsize=16,color="green",shape="box"];1430[label="xy541",fontsize=16,color="green",shape="box"];1431[label="xy5702",fontsize=16,color="green",shape="box"];1432[label="xy542",fontsize=16,color="green",shape="box"];1433[label="xy5702",fontsize=16,color="green",shape="box"];1434[label="xy542",fontsize=16,color="green",shape="box"];1435[label="xy5702",fontsize=16,color="green",shape="box"];1436[label="xy542",fontsize=16,color="green",shape="box"];1437[label="xy5702",fontsize=16,color="green",shape="box"];1438[label="xy542",fontsize=16,color="green",shape="box"];1439[label="xy5702",fontsize=16,color="green",shape="box"];1440[label="xy542",fontsize=16,color="green",shape="box"];1441[label="xy5702",fontsize=16,color="green",shape="box"];1442[label="xy542",fontsize=16,color="green",shape="box"];1443[label="xy5702",fontsize=16,color="green",shape="box"];1444[label="xy542",fontsize=16,color="green",shape="box"];1445[label="xy5702",fontsize=16,color="green",shape="box"];1446[label="xy542",fontsize=16,color="green",shape="box"];1447[label="xy5702",fontsize=16,color="green",shape="box"];1448[label="xy542",fontsize=16,color="green",shape="box"];1449[label="xy5702",fontsize=16,color="green",shape="box"];1450[label="xy542",fontsize=16,color="green",shape="box"];1451[label="xy5702",fontsize=16,color="green",shape="box"];1452[label="xy542",fontsize=16,color="green",shape="box"];1453[label="xy5702",fontsize=16,color="green",shape="box"];1454[label="xy542",fontsize=16,color="green",shape="box"];1455[label="xy5702",fontsize=16,color="green",shape="box"];1456[label="xy542",fontsize=16,color="green",shape="box"];1457[label="xy5702",fontsize=16,color="green",shape="box"];1458[label="xy542",fontsize=16,color="green",shape="box"];1459[label="xy5400",fontsize=16,color="green",shape="box"];1460[label="xy57000",fontsize=16,color="green",shape="box"];1461[label="xy5400",fontsize=16,color="green",shape="box"];1462[label="xy57000",fontsize=16,color="green",shape="box"];1463[label="xy5400",fontsize=16,color="green",shape="box"];1464[label="xy57000",fontsize=16,color="green",shape="box"];1465[label="primMulInt (Pos xy5410) (Pos xy57000)",fontsize=16,color="black",shape="box"];1465 -> 1469[label="",style="solid", color="black", weight=3]; 1466[label="primMulInt (Pos xy5410) (Neg xy57000)",fontsize=16,color="black",shape="box"];1466 -> 1470[label="",style="solid", color="black", weight=3]; 1467[label="primMulInt (Neg xy5410) (Pos xy57000)",fontsize=16,color="black",shape="box"];1467 -> 1471[label="",style="solid", color="black", weight=3]; 1468[label="primMulInt (Neg xy5410) (Neg xy57000)",fontsize=16,color="black",shape="box"];1468 -> 1472[label="",style="solid", color="black", weight=3]; 1469[label="Pos (primMulNat xy5410 xy57000)",fontsize=16,color="green",shape="box"];1469 -> 1473[label="",style="dashed", color="green", weight=3]; 1470[label="Neg (primMulNat xy5410 xy57000)",fontsize=16,color="green",shape="box"];1470 -> 1474[label="",style="dashed", color="green", weight=3]; 1471[label="Neg (primMulNat xy5410 xy57000)",fontsize=16,color="green",shape="box"];1471 -> 1475[label="",style="dashed", color="green", weight=3]; 1472[label="Pos (primMulNat xy5410 xy57000)",fontsize=16,color="green",shape="box"];1472 -> 1476[label="",style="dashed", color="green", weight=3]; 1473[label="primMulNat xy5410 xy57000",fontsize=16,color="burlywood",shape="triangle"];1775[label="xy5410/Succ xy54100",fontsize=10,color="white",style="solid",shape="box"];1473 -> 1775[label="",style="solid", color="burlywood", weight=9]; 1775 -> 1477[label="",style="solid", color="burlywood", weight=3]; 1776[label="xy5410/Zero",fontsize=10,color="white",style="solid",shape="box"];1473 -> 1776[label="",style="solid", color="burlywood", weight=9]; 1776 -> 1478[label="",style="solid", color="burlywood", weight=3]; 1474 -> 1473[label="",style="dashed", color="red", weight=0]; 1474[label="primMulNat xy5410 xy57000",fontsize=16,color="magenta"];1474 -> 1479[label="",style="dashed", color="magenta", weight=3]; 1475 -> 1473[label="",style="dashed", color="red", weight=0]; 1475[label="primMulNat xy5410 xy57000",fontsize=16,color="magenta"];1475 -> 1480[label="",style="dashed", color="magenta", weight=3]; 1476 -> 1473[label="",style="dashed", color="red", weight=0]; 1476[label="primMulNat xy5410 xy57000",fontsize=16,color="magenta"];1476 -> 1481[label="",style="dashed", color="magenta", weight=3]; 1476 -> 1482[label="",style="dashed", color="magenta", weight=3]; 1477[label="primMulNat (Succ xy54100) xy57000",fontsize=16,color="burlywood",shape="box"];1777[label="xy57000/Succ xy570000",fontsize=10,color="white",style="solid",shape="box"];1477 -> 1777[label="",style="solid", color="burlywood", weight=9]; 1777 -> 1483[label="",style="solid", color="burlywood", weight=3]; 1778[label="xy57000/Zero",fontsize=10,color="white",style="solid",shape="box"];1477 -> 1778[label="",style="solid", color="burlywood", weight=9]; 1778 -> 1484[label="",style="solid", color="burlywood", weight=3]; 1478[label="primMulNat Zero xy57000",fontsize=16,color="burlywood",shape="box"];1779[label="xy57000/Succ xy570000",fontsize=10,color="white",style="solid",shape="box"];1478 -> 1779[label="",style="solid", color="burlywood", weight=9]; 1779 -> 1485[label="",style="solid", color="burlywood", weight=3]; 1780[label="xy57000/Zero",fontsize=10,color="white",style="solid",shape="box"];1478 -> 1780[label="",style="solid", color="burlywood", weight=9]; 1780 -> 1486[label="",style="solid", color="burlywood", weight=3]; 1479[label="xy57000",fontsize=16,color="green",shape="box"];1480[label="xy5410",fontsize=16,color="green",shape="box"];1481[label="xy5410",fontsize=16,color="green",shape="box"];1482[label="xy57000",fontsize=16,color="green",shape="box"];1483[label="primMulNat (Succ xy54100) (Succ xy570000)",fontsize=16,color="black",shape="box"];1483 -> 1487[label="",style="solid", color="black", weight=3]; 1484[label="primMulNat (Succ xy54100) Zero",fontsize=16,color="black",shape="box"];1484 -> 1488[label="",style="solid", color="black", weight=3]; 1485[label="primMulNat Zero (Succ xy570000)",fontsize=16,color="black",shape="box"];1485 -> 1489[label="",style="solid", color="black", weight=3]; 1486[label="primMulNat Zero Zero",fontsize=16,color="black",shape="box"];1486 -> 1490[label="",style="solid", color="black", weight=3]; 1487 -> 1491[label="",style="dashed", color="red", weight=0]; 1487[label="primPlusNat (primMulNat xy54100 (Succ xy570000)) (Succ xy570000)",fontsize=16,color="magenta"];1487 -> 1492[label="",style="dashed", color="magenta", weight=3]; 1488[label="Zero",fontsize=16,color="green",shape="box"];1489[label="Zero",fontsize=16,color="green",shape="box"];1490[label="Zero",fontsize=16,color="green",shape="box"];1492 -> 1473[label="",style="dashed", color="red", weight=0]; 1492[label="primMulNat xy54100 (Succ xy570000)",fontsize=16,color="magenta"];1492 -> 1493[label="",style="dashed", color="magenta", weight=3]; 1492 -> 1494[label="",style="dashed", color="magenta", weight=3]; 1491[label="primPlusNat xy78 (Succ xy570000)",fontsize=16,color="burlywood",shape="triangle"];1781[label="xy78/Succ xy780",fontsize=10,color="white",style="solid",shape="box"];1491 -> 1781[label="",style="solid", color="burlywood", weight=9]; 1781 -> 1495[label="",style="solid", color="burlywood", weight=3]; 1782[label="xy78/Zero",fontsize=10,color="white",style="solid",shape="box"];1491 -> 1782[label="",style="solid", color="burlywood", weight=9]; 1782 -> 1496[label="",style="solid", color="burlywood", weight=3]; 1493[label="xy54100",fontsize=16,color="green",shape="box"];1494[label="Succ xy570000",fontsize=16,color="green",shape="box"];1495[label="primPlusNat (Succ xy780) (Succ xy570000)",fontsize=16,color="black",shape="box"];1495 -> 1497[label="",style="solid", color="black", weight=3]; 1496[label="primPlusNat Zero (Succ xy570000)",fontsize=16,color="black",shape="box"];1496 -> 1498[label="",style="solid", color="black", weight=3]; 1497[label="Succ (Succ (primPlusNat xy780 xy570000))",fontsize=16,color="green",shape="box"];1497 -> 1499[label="",style="dashed", color="green", weight=3]; 1498[label="Succ xy570000",fontsize=16,color="green",shape="box"];1499[label="primPlusNat xy780 xy570000",fontsize=16,color="burlywood",shape="triangle"];1783[label="xy780/Succ xy7800",fontsize=10,color="white",style="solid",shape="box"];1499 -> 1783[label="",style="solid", color="burlywood", weight=9]; 1783 -> 1500[label="",style="solid", color="burlywood", weight=3]; 1784[label="xy780/Zero",fontsize=10,color="white",style="solid",shape="box"];1499 -> 1784[label="",style="solid", color="burlywood", weight=9]; 1784 -> 1501[label="",style="solid", color="burlywood", weight=3]; 1500[label="primPlusNat (Succ xy7800) xy570000",fontsize=16,color="burlywood",shape="box"];1785[label="xy570000/Succ xy5700000",fontsize=10,color="white",style="solid",shape="box"];1500 -> 1785[label="",style="solid", color="burlywood", weight=9]; 1785 -> 1502[label="",style="solid", color="burlywood", weight=3]; 1786[label="xy570000/Zero",fontsize=10,color="white",style="solid",shape="box"];1500 -> 1786[label="",style="solid", color="burlywood", weight=9]; 1786 -> 1503[label="",style="solid", color="burlywood", weight=3]; 1501[label="primPlusNat Zero xy570000",fontsize=16,color="burlywood",shape="box"];1787[label="xy570000/Succ xy5700000",fontsize=10,color="white",style="solid",shape="box"];1501 -> 1787[label="",style="solid", color="burlywood", weight=9]; 1787 -> 1504[label="",style="solid", color="burlywood", weight=3]; 1788[label="xy570000/Zero",fontsize=10,color="white",style="solid",shape="box"];1501 -> 1788[label="",style="solid", color="burlywood", weight=9]; 1788 -> 1505[label="",style="solid", color="burlywood", weight=3]; 1502[label="primPlusNat (Succ xy7800) (Succ xy5700000)",fontsize=16,color="black",shape="box"];1502 -> 1506[label="",style="solid", color="black", weight=3]; 1503[label="primPlusNat (Succ xy7800) Zero",fontsize=16,color="black",shape="box"];1503 -> 1507[label="",style="solid", color="black", weight=3]; 1504[label="primPlusNat Zero (Succ xy5700000)",fontsize=16,color="black",shape="box"];1504 -> 1508[label="",style="solid", color="black", weight=3]; 1505[label="primPlusNat Zero Zero",fontsize=16,color="black",shape="box"];1505 -> 1509[label="",style="solid", color="black", weight=3]; 1506[label="Succ (Succ (primPlusNat xy7800 xy5700000))",fontsize=16,color="green",shape="box"];1506 -> 1510[label="",style="dashed", color="green", weight=3]; 1507[label="Succ xy7800",fontsize=16,color="green",shape="box"];1508[label="Succ xy5700000",fontsize=16,color="green",shape="box"];1509[label="Zero",fontsize=16,color="green",shape="box"];1510 -> 1499[label="",style="dashed", color="red", weight=0]; 1510[label="primPlusNat xy7800 xy5700000",fontsize=16,color="magenta"];1510 -> 1511[label="",style="dashed", color="magenta", weight=3]; 1510 -> 1512[label="",style="dashed", color="magenta", weight=3]; 1511[label="xy5700000",fontsize=16,color="green",shape="box"];1512[label="xy7800",fontsize=16,color="green",shape="box"];} ---------------------------------------- (6) Complex Obligation (AND) ---------------------------------------- (7) Obligation: Q DP problem: The TRS P consists of the following rules: new_isPrefixOf1(xy53, xy54, :(xy550, xy551), xy56, ba) -> new_isPrefixOf1(new_flip(xy53, xy54, ba), xy550, xy551, xy56, ba) The TRS R consists of the following rules: new_flip(xy53, xy54, ba) -> :(xy54, xy53) The set Q consists of the following terms: new_flip(x0, x1, x2) We have to consider all minimal (P,Q,R)-chains. ---------------------------------------- (8) TransformationProof (EQUIVALENT) By rewriting [LPAR04] the rule new_isPrefixOf1(xy53, xy54, :(xy550, xy551), xy56, ba) -> new_isPrefixOf1(new_flip(xy53, xy54, ba), xy550, xy551, xy56, ba) at position [0] we obtained the following new rules [LPAR04]: (new_isPrefixOf1(xy53, xy54, :(xy550, xy551), xy56, ba) -> new_isPrefixOf1(:(xy54, xy53), xy550, xy551, xy56, ba),new_isPrefixOf1(xy53, xy54, :(xy550, xy551), xy56, ba) -> new_isPrefixOf1(:(xy54, xy53), xy550, xy551, xy56, ba)) ---------------------------------------- (9) Obligation: Q DP problem: The TRS P consists of the following rules: new_isPrefixOf1(xy53, xy54, :(xy550, xy551), xy56, ba) -> new_isPrefixOf1(:(xy54, xy53), xy550, xy551, xy56, ba) The TRS R consists of the following rules: new_flip(xy53, xy54, ba) -> :(xy54, xy53) The set Q consists of the following terms: new_flip(x0, x1, x2) We have to consider all minimal (P,Q,R)-chains. ---------------------------------------- (10) UsableRulesProof (EQUIVALENT) As all Q-normal forms are R-normal forms we are in the innermost case. Hence, by the usable rules processor [LPAR04] we can delete all non-usable rules [FROCOS05] from R. ---------------------------------------- (11) Obligation: Q DP problem: The TRS P consists of the following rules: new_isPrefixOf1(xy53, xy54, :(xy550, xy551), xy56, ba) -> new_isPrefixOf1(:(xy54, xy53), xy550, xy551, xy56, ba) R is empty. The set Q consists of the following terms: new_flip(x0, x1, x2) We have to consider all minimal (P,Q,R)-chains. ---------------------------------------- (12) QReductionProof (EQUIVALENT) We deleted the following terms from Q as each root-symbol of these terms does neither occur in P nor in R.[THIEMANN]. new_flip(x0, x1, x2) ---------------------------------------- (13) Obligation: Q DP problem: The TRS P consists of the following rules: new_isPrefixOf1(xy53, xy54, :(xy550, xy551), xy56, ba) -> new_isPrefixOf1(:(xy54, xy53), xy550, xy551, xy56, ba) R is empty. Q is empty. We have to consider all minimal (P,Q,R)-chains. ---------------------------------------- (14) QDPSizeChangeProof (EQUIVALENT) By using the subterm criterion [SUBTERM_CRITERION] together with the size-change analysis [AAECC05] we have proven that there are no infinite chains for this DP problem. From the DPs we obtained the following set of size-change graphs: *new_isPrefixOf1(xy53, xy54, :(xy550, xy551), xy56, ba) -> new_isPrefixOf1(:(xy54, xy53), xy550, xy551, xy56, ba) The graph contains the following edges 3 > 2, 3 > 3, 4 >= 4, 5 >= 5 ---------------------------------------- (15) YES ---------------------------------------- (16) Obligation: Q DP problem: The TRS P consists of the following rules: new_isPrefixOf0(xy54, xy53, xy57, :(xy5610, xy5611), ba) -> new_isPrefixOf0(xy54, xy53, new_flip(xy57, xy5610, ba), xy5611, ba) The TRS R consists of the following rules: new_flip(xy53, xy54, ba) -> :(xy54, xy53) The set Q consists of the following terms: new_flip(x0, x1, x2) We have to consider all minimal (P,Q,R)-chains. ---------------------------------------- (17) TransformationProof (EQUIVALENT) By rewriting [LPAR04] the rule new_isPrefixOf0(xy54, xy53, xy57, :(xy5610, xy5611), ba) -> new_isPrefixOf0(xy54, xy53, new_flip(xy57, xy5610, ba), xy5611, ba) at position [2] we obtained the following new rules [LPAR04]: (new_isPrefixOf0(xy54, xy53, xy57, :(xy5610, xy5611), ba) -> new_isPrefixOf0(xy54, xy53, :(xy5610, xy57), xy5611, ba),new_isPrefixOf0(xy54, xy53, xy57, :(xy5610, xy5611), ba) -> new_isPrefixOf0(xy54, xy53, :(xy5610, xy57), xy5611, ba)) ---------------------------------------- (18) Obligation: Q DP problem: The TRS P consists of the following rules: new_isPrefixOf0(xy54, xy53, xy57, :(xy5610, xy5611), ba) -> new_isPrefixOf0(xy54, xy53, :(xy5610, xy57), xy5611, ba) The TRS R consists of the following rules: new_flip(xy53, xy54, ba) -> :(xy54, xy53) The set Q consists of the following terms: new_flip(x0, x1, x2) We have to consider all minimal (P,Q,R)-chains. ---------------------------------------- (19) UsableRulesProof (EQUIVALENT) As all Q-normal forms are R-normal forms we are in the innermost case. Hence, by the usable rules processor [LPAR04] we can delete all non-usable rules [FROCOS05] from R. ---------------------------------------- (20) Obligation: Q DP problem: The TRS P consists of the following rules: new_isPrefixOf0(xy54, xy53, xy57, :(xy5610, xy5611), ba) -> new_isPrefixOf0(xy54, xy53, :(xy5610, xy57), xy5611, ba) R is empty. The set Q consists of the following terms: new_flip(x0, x1, x2) We have to consider all minimal (P,Q,R)-chains. ---------------------------------------- (21) QReductionProof (EQUIVALENT) We deleted the following terms from Q as each root-symbol of these terms does neither occur in P nor in R.[THIEMANN]. new_flip(x0, x1, x2) ---------------------------------------- (22) Obligation: Q DP problem: The TRS P consists of the following rules: new_isPrefixOf0(xy54, xy53, xy57, :(xy5610, xy5611), ba) -> new_isPrefixOf0(xy54, xy53, :(xy5610, xy57), xy5611, ba) R is empty. Q is empty. We have to consider all minimal (P,Q,R)-chains. ---------------------------------------- (23) QDPSizeChangeProof (EQUIVALENT) By using the subterm criterion [SUBTERM_CRITERION] together with the size-change analysis [AAECC05] we have proven that there are no infinite chains for this DP problem. From the DPs we obtained the following set of size-change graphs: *new_isPrefixOf0(xy54, xy53, xy57, :(xy5610, xy5611), ba) -> new_isPrefixOf0(xy54, xy53, :(xy5610, xy57), xy5611, ba) The graph contains the following edges 1 >= 1, 2 >= 2, 4 > 4, 5 >= 5 ---------------------------------------- (24) YES ---------------------------------------- (25) Obligation: Q DP problem: The TRS P consists of the following rules: new_isPrefixOf(:(xy530, xy531), :(xy5710, xy5711), ba) -> new_isPrefixOf(xy531, xy5711, ba) R is empty. Q is empty. We have to consider all minimal (P,Q,R)-chains. ---------------------------------------- (26) QDPSizeChangeProof (EQUIVALENT) By using the subterm criterion [SUBTERM_CRITERION] together with the size-change analysis [AAECC05] we have proven that there are no infinite chains for this DP problem. From the DPs we obtained the following set of size-change graphs: *new_isPrefixOf(:(xy530, xy531), :(xy5710, xy5711), ba) -> new_isPrefixOf(xy531, xy5711, ba) The graph contains the following edges 1 > 1, 2 > 2, 3 >= 3 ---------------------------------------- (27) YES ---------------------------------------- (28) Obligation: Q DP problem: The TRS P consists of the following rules: new_primMulNat(Succ(xy54100), Succ(xy570000)) -> new_primMulNat(xy54100, Succ(xy570000)) R is empty. Q is empty. We have to consider all minimal (P,Q,R)-chains. ---------------------------------------- (29) QDPSizeChangeProof (EQUIVALENT) By using the subterm criterion [SUBTERM_CRITERION] together with the size-change analysis [AAECC05] we have proven that there are no infinite chains for this DP problem. From the DPs we obtained the following set of size-change graphs: *new_primMulNat(Succ(xy54100), Succ(xy570000)) -> new_primMulNat(xy54100, Succ(xy570000)) The graph contains the following edges 1 > 1, 2 >= 2 ---------------------------------------- (30) YES ---------------------------------------- (31) Obligation: Q DP problem: The TRS P consists of the following rules: new_esEs(@2(xy540, xy541), @2(xy5700, xy5701), cc, app(ty_[], cg)) -> new_esEs1(xy541, xy5701, cg) new_esEs3(Left(xy540), Left(xy5700), app(app(ty_Either, bch), bda), bcb) -> new_esEs3(xy540, xy5700, bch, bda) new_esEs3(Right(xy540), Right(xy5700), bdb, app(ty_[], bdf)) -> new_esEs1(xy540, xy5700, bdf) new_esEs2(@3(xy540, xy541, xy542), @3(xy5700, xy5701, xy5702), he, gd, app(app(ty_@2, bag), bah)) -> new_esEs(xy542, xy5702, bag, bah) new_esEs2(@3(xy540, xy541, xy542), @3(xy5700, xy5701, xy5702), app(app(ty_@2, gb), gc), gd, ge) -> new_esEs(xy540, xy5700, gb, gc) new_esEs(@2(xy540, xy541), @2(xy5700, xy5701), app(app(ty_@2, ba), bb), bc) -> new_esEs(xy540, xy5700, ba, bb) new_esEs(@2(xy540, xy541), @2(xy5700, xy5701), app(ty_[], be), bc) -> new_esEs1(xy540, xy5700, be) new_esEs1(:(xy540, xy541), :(xy5700, xy5701), app(ty_Maybe, fa)) -> new_esEs0(xy540, xy5700, fa) new_esEs(@2(xy540, xy541), @2(xy5700, xy5701), app(app(ty_Either, ca), cb), bc) -> new_esEs3(xy540, xy5700, ca, cb) new_esEs1(:(xy540, xy541), :(xy5700, xy5701), app(app(ty_Either, fg), fh)) -> new_esEs3(xy540, xy5700, fg, fh) new_esEs2(@3(xy540, xy541, xy542), @3(xy5700, xy5701, xy5702), he, gd, app(app(ty_Either, bbf), bbg)) -> new_esEs3(xy542, xy5702, bbf, bbg) new_esEs0(Just(xy540), Just(xy5700), app(app(ty_Either, ee), ef)) -> new_esEs3(xy540, xy5700, ee, ef) new_esEs2(@3(xy540, xy541, xy542), @3(xy5700, xy5701, xy5702), he, app(app(app(ty_@3, bab), bac), bad), ge) -> new_esEs2(xy541, xy5701, bab, bac, bad) new_esEs3(Right(xy540), Right(xy5700), bdb, app(app(ty_Either, beb), bec)) -> new_esEs3(xy540, xy5700, beb, bec) new_esEs0(Just(xy540), Just(xy5700), app(app(app(ty_@3, eb), ec), ed)) -> new_esEs2(xy540, xy5700, eb, ec, ed) new_esEs2(@3(xy540, xy541, xy542), @3(xy5700, xy5701, xy5702), app(app(app(ty_@3, gh), ha), hb), gd, ge) -> new_esEs2(xy540, xy5700, gh, ha, hb) new_esEs(@2(xy540, xy541), @2(xy5700, xy5701), app(app(app(ty_@3, bf), bg), bh), bc) -> new_esEs2(xy540, xy5700, bf, bg, bh) new_esEs(@2(xy540, xy541), @2(xy5700, xy5701), cc, app(app(ty_@2, cd), ce)) -> new_esEs(xy541, xy5701, cd, ce) new_esEs3(Right(xy540), Right(xy5700), bdb, app(ty_Maybe, bde)) -> new_esEs0(xy540, xy5700, bde) new_esEs3(Left(xy540), Left(xy5700), app(app(ty_@2, bbh), bca), bcb) -> new_esEs(xy540, xy5700, bbh, bca) new_esEs(@2(xy540, xy541), @2(xy5700, xy5701), cc, app(app(app(ty_@3, da), db), dc)) -> new_esEs2(xy541, xy5701, da, db, dc) new_esEs2(@3(xy540, xy541, xy542), @3(xy5700, xy5701, xy5702), he, gd, app(ty_Maybe, bba)) -> new_esEs0(xy542, xy5702, bba) new_esEs3(Right(xy540), Right(xy5700), bdb, app(app(app(ty_@3, bdg), bdh), bea)) -> new_esEs2(xy540, xy5700, bdg, bdh, bea) new_esEs3(Left(xy540), Left(xy5700), app(ty_[], bcd), bcb) -> new_esEs1(xy540, xy5700, bcd) new_esEs(@2(xy540, xy541), @2(xy5700, xy5701), cc, app(app(ty_Either, dd), de)) -> new_esEs3(xy541, xy5701, dd, de) new_esEs1(:(xy540, xy541), :(xy5700, xy5701), ga) -> new_esEs1(xy541, xy5701, ga) new_esEs1(:(xy540, xy541), :(xy5700, xy5701), app(app(ty_@2, eg), eh)) -> new_esEs(xy540, xy5700, eg, eh) new_esEs0(Just(xy540), Just(xy5700), app(app(ty_@2, df), dg)) -> new_esEs(xy540, xy5700, df, dg) new_esEs1(:(xy540, xy541), :(xy5700, xy5701), app(ty_[], fb)) -> new_esEs1(xy540, xy5700, fb) new_esEs2(@3(xy540, xy541, xy542), @3(xy5700, xy5701, xy5702), app(ty_Maybe, gf), gd, ge) -> new_esEs0(xy540, xy5700, gf) new_esEs2(@3(xy540, xy541, xy542), @3(xy5700, xy5701, xy5702), he, app(app(ty_Either, bae), baf), ge) -> new_esEs3(xy541, xy5701, bae, baf) new_esEs3(Left(xy540), Left(xy5700), app(ty_Maybe, bcc), bcb) -> new_esEs0(xy540, xy5700, bcc) new_esEs2(@3(xy540, xy541, xy542), @3(xy5700, xy5701, xy5702), app(ty_[], gg), gd, ge) -> new_esEs1(xy540, xy5700, gg) new_esEs2(@3(xy540, xy541, xy542), @3(xy5700, xy5701, xy5702), he, app(ty_Maybe, hh), ge) -> new_esEs0(xy541, xy5701, hh) new_esEs0(Just(xy540), Just(xy5700), app(ty_Maybe, dh)) -> new_esEs0(xy540, xy5700, dh) new_esEs1(:(xy540, xy541), :(xy5700, xy5701), app(app(app(ty_@3, fc), fd), ff)) -> new_esEs2(xy540, xy5700, fc, fd, ff) new_esEs2(@3(xy540, xy541, xy542), @3(xy5700, xy5701, xy5702), he, gd, app(app(app(ty_@3, bbc), bbd), bbe)) -> new_esEs2(xy542, xy5702, bbc, bbd, bbe) new_esEs3(Right(xy540), Right(xy5700), bdb, app(app(ty_@2, bdc), bdd)) -> new_esEs(xy540, xy5700, bdc, bdd) new_esEs(@2(xy540, xy541), @2(xy5700, xy5701), app(ty_Maybe, bd), bc) -> new_esEs0(xy540, xy5700, bd) new_esEs3(Left(xy540), Left(xy5700), app(app(app(ty_@3, bce), bcf), bcg), bcb) -> new_esEs2(xy540, xy5700, bce, bcf, bcg) new_esEs2(@3(xy540, xy541, xy542), @3(xy5700, xy5701, xy5702), he, app(app(ty_@2, hf), hg), ge) -> new_esEs(xy541, xy5701, hf, hg) new_esEs2(@3(xy540, xy541, xy542), @3(xy5700, xy5701, xy5702), he, app(ty_[], baa), ge) -> new_esEs1(xy541, xy5701, baa) new_esEs2(@3(xy540, xy541, xy542), @3(xy5700, xy5701, xy5702), app(app(ty_Either, hc), hd), gd, ge) -> new_esEs3(xy540, xy5700, hc, hd) new_esEs(@2(xy540, xy541), @2(xy5700, xy5701), cc, app(ty_Maybe, cf)) -> new_esEs0(xy541, xy5701, cf) new_esEs0(Just(xy540), Just(xy5700), app(ty_[], ea)) -> new_esEs1(xy540, xy5700, ea) new_esEs2(@3(xy540, xy541, xy542), @3(xy5700, xy5701, xy5702), he, gd, app(ty_[], bbb)) -> new_esEs1(xy542, xy5702, bbb) R is empty. Q is empty. We have to consider all minimal (P,Q,R)-chains. ---------------------------------------- (32) QDPSizeChangeProof (EQUIVALENT) By using the subterm criterion [SUBTERM_CRITERION] together with the size-change analysis [AAECC05] we have proven that there are no infinite chains for this DP problem. From the DPs we obtained the following set of size-change graphs: *new_esEs1(:(xy540, xy541), :(xy5700, xy5701), app(app(ty_@2, eg), eh)) -> new_esEs(xy540, xy5700, eg, eh) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs1(:(xy540, xy541), :(xy5700, xy5701), app(app(ty_Either, fg), fh)) -> new_esEs3(xy540, xy5700, fg, fh) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs1(:(xy540, xy541), :(xy5700, xy5701), app(app(app(ty_@3, fc), fd), ff)) -> new_esEs2(xy540, xy5700, fc, fd, ff) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 *new_esEs1(:(xy540, xy541), :(xy5700, xy5701), app(ty_Maybe, fa)) -> new_esEs0(xy540, xy5700, fa) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs0(Just(xy540), Just(xy5700), app(app(ty_@2, df), dg)) -> new_esEs(xy540, xy5700, df, dg) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs0(Just(xy540), Just(xy5700), app(app(ty_Either, ee), ef)) -> new_esEs3(xy540, xy5700, ee, ef) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs0(Just(xy540), Just(xy5700), app(app(app(ty_@3, eb), ec), ed)) -> new_esEs2(xy540, xy5700, eb, ec, ed) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 *new_esEs0(Just(xy540), Just(xy5700), app(ty_[], ea)) -> new_esEs1(xy540, xy5700, ea) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs0(Just(xy540), Just(xy5700), app(ty_Maybe, dh)) -> new_esEs0(xy540, xy5700, dh) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs1(:(xy540, xy541), :(xy5700, xy5701), ga) -> new_esEs1(xy541, xy5701, ga) The graph contains the following edges 1 > 1, 2 > 2, 3 >= 3 *new_esEs1(:(xy540, xy541), :(xy5700, xy5701), app(ty_[], fb)) -> new_esEs1(xy540, xy5700, fb) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs3(Left(xy540), Left(xy5700), app(app(ty_@2, bbh), bca), bcb) -> new_esEs(xy540, xy5700, bbh, bca) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs3(Right(xy540), Right(xy5700), bdb, app(app(ty_@2, bdc), bdd)) -> new_esEs(xy540, xy5700, bdc, bdd) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 *new_esEs(@2(xy540, xy541), @2(xy5700, xy5701), app(app(ty_@2, ba), bb), bc) -> new_esEs(xy540, xy5700, ba, bb) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs(@2(xy540, xy541), @2(xy5700, xy5701), cc, app(app(ty_@2, cd), ce)) -> new_esEs(xy541, xy5701, cd, ce) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 *new_esEs2(@3(xy540, xy541, xy542), @3(xy5700, xy5701, xy5702), he, gd, app(app(ty_@2, bag), bah)) -> new_esEs(xy542, xy5702, bag, bah) The graph contains the following edges 1 > 1, 2 > 2, 5 > 3, 5 > 4 *new_esEs2(@3(xy540, xy541, xy542), @3(xy5700, xy5701, xy5702), app(app(ty_@2, gb), gc), gd, ge) -> new_esEs(xy540, xy5700, gb, gc) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs2(@3(xy540, xy541, xy542), @3(xy5700, xy5701, xy5702), he, app(app(ty_@2, hf), hg), ge) -> new_esEs(xy541, xy5701, hf, hg) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 *new_esEs3(Left(xy540), Left(xy5700), app(app(ty_Either, bch), bda), bcb) -> new_esEs3(xy540, xy5700, bch, bda) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs3(Right(xy540), Right(xy5700), bdb, app(app(ty_Either, beb), bec)) -> new_esEs3(xy540, xy5700, beb, bec) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 *new_esEs3(Right(xy540), Right(xy5700), bdb, app(app(app(ty_@3, bdg), bdh), bea)) -> new_esEs2(xy540, xy5700, bdg, bdh, bea) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4, 4 > 5 *new_esEs3(Left(xy540), Left(xy5700), app(app(app(ty_@3, bce), bcf), bcg), bcb) -> new_esEs2(xy540, xy5700, bce, bcf, bcg) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 *new_esEs3(Right(xy540), Right(xy5700), bdb, app(ty_[], bdf)) -> new_esEs1(xy540, xy5700, bdf) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 *new_esEs3(Left(xy540), Left(xy5700), app(ty_[], bcd), bcb) -> new_esEs1(xy540, xy5700, bcd) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs3(Right(xy540), Right(xy5700), bdb, app(ty_Maybe, bde)) -> new_esEs0(xy540, xy5700, bde) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 *new_esEs3(Left(xy540), Left(xy5700), app(ty_Maybe, bcc), bcb) -> new_esEs0(xy540, xy5700, bcc) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs(@2(xy540, xy541), @2(xy5700, xy5701), app(app(ty_Either, ca), cb), bc) -> new_esEs3(xy540, xy5700, ca, cb) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs(@2(xy540, xy541), @2(xy5700, xy5701), cc, app(app(ty_Either, dd), de)) -> new_esEs3(xy541, xy5701, dd, de) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 *new_esEs2(@3(xy540, xy541, xy542), @3(xy5700, xy5701, xy5702), he, gd, app(app(ty_Either, bbf), bbg)) -> new_esEs3(xy542, xy5702, bbf, bbg) The graph contains the following edges 1 > 1, 2 > 2, 5 > 3, 5 > 4 *new_esEs2(@3(xy540, xy541, xy542), @3(xy5700, xy5701, xy5702), he, app(app(ty_Either, bae), baf), ge) -> new_esEs3(xy541, xy5701, bae, baf) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 *new_esEs2(@3(xy540, xy541, xy542), @3(xy5700, xy5701, xy5702), app(app(ty_Either, hc), hd), gd, ge) -> new_esEs3(xy540, xy5700, hc, hd) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs(@2(xy540, xy541), @2(xy5700, xy5701), app(app(app(ty_@3, bf), bg), bh), bc) -> new_esEs2(xy540, xy5700, bf, bg, bh) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 *new_esEs(@2(xy540, xy541), @2(xy5700, xy5701), cc, app(app(app(ty_@3, da), db), dc)) -> new_esEs2(xy541, xy5701, da, db, dc) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4, 4 > 5 *new_esEs(@2(xy540, xy541), @2(xy5700, xy5701), cc, app(ty_[], cg)) -> new_esEs1(xy541, xy5701, cg) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 *new_esEs(@2(xy540, xy541), @2(xy5700, xy5701), app(ty_[], be), bc) -> new_esEs1(xy540, xy5700, be) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs(@2(xy540, xy541), @2(xy5700, xy5701), app(ty_Maybe, bd), bc) -> new_esEs0(xy540, xy5700, bd) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs(@2(xy540, xy541), @2(xy5700, xy5701), cc, app(ty_Maybe, cf)) -> new_esEs0(xy541, xy5701, cf) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 *new_esEs2(@3(xy540, xy541, xy542), @3(xy5700, xy5701, xy5702), he, app(app(app(ty_@3, bab), bac), bad), ge) -> new_esEs2(xy541, xy5701, bab, bac, bad) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4, 4 > 5 *new_esEs2(@3(xy540, xy541, xy542), @3(xy5700, xy5701, xy5702), app(app(app(ty_@3, gh), ha), hb), gd, ge) -> new_esEs2(xy540, xy5700, gh, ha, hb) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 *new_esEs2(@3(xy540, xy541, xy542), @3(xy5700, xy5701, xy5702), he, gd, app(app(app(ty_@3, bbc), bbd), bbe)) -> new_esEs2(xy542, xy5702, bbc, bbd, bbe) The graph contains the following edges 1 > 1, 2 > 2, 5 > 3, 5 > 4, 5 > 5 *new_esEs2(@3(xy540, xy541, xy542), @3(xy5700, xy5701, xy5702), app(ty_[], gg), gd, ge) -> new_esEs1(xy540, xy5700, gg) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs2(@3(xy540, xy541, xy542), @3(xy5700, xy5701, xy5702), he, app(ty_[], baa), ge) -> new_esEs1(xy541, xy5701, baa) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 *new_esEs2(@3(xy540, xy541, xy542), @3(xy5700, xy5701, xy5702), he, gd, app(ty_[], bbb)) -> new_esEs1(xy542, xy5702, bbb) The graph contains the following edges 1 > 1, 2 > 2, 5 > 3 *new_esEs2(@3(xy540, xy541, xy542), @3(xy5700, xy5701, xy5702), he, gd, app(ty_Maybe, bba)) -> new_esEs0(xy542, xy5702, bba) The graph contains the following edges 1 > 1, 2 > 2, 5 > 3 *new_esEs2(@3(xy540, xy541, xy542), @3(xy5700, xy5701, xy5702), app(ty_Maybe, gf), gd, ge) -> new_esEs0(xy540, xy5700, gf) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs2(@3(xy540, xy541, xy542), @3(xy5700, xy5701, xy5702), he, app(ty_Maybe, hh), ge) -> new_esEs0(xy541, xy5701, hh) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 ---------------------------------------- (33) YES ---------------------------------------- (34) Obligation: Q DP problem: The TRS P consists of the following rules: new_primPlusNat(Succ(xy7800), Succ(xy5700000)) -> new_primPlusNat(xy7800, xy5700000) R is empty. Q is empty. We have to consider all minimal (P,Q,R)-chains. ---------------------------------------- (35) QDPSizeChangeProof (EQUIVALENT) By using the subterm criterion [SUBTERM_CRITERION] together with the size-change analysis [AAECC05] we have proven that there are no infinite chains for this DP problem. From the DPs we obtained the following set of size-change graphs: *new_primPlusNat(Succ(xy7800), Succ(xy5700000)) -> new_primPlusNat(xy7800, xy5700000) The graph contains the following edges 1 > 1, 2 > 2 ---------------------------------------- (36) YES ---------------------------------------- (37) Obligation: Q DP problem: The TRS P consists of the following rules: new_primEqNat(Succ(xy5400), Succ(xy57000)) -> new_primEqNat(xy5400, xy57000) R is empty. Q is empty. We have to consider all minimal (P,Q,R)-chains. ---------------------------------------- (38) QDPSizeChangeProof (EQUIVALENT) By using the subterm criterion [SUBTERM_CRITERION] together with the size-change analysis [AAECC05] we have proven that there are no infinite chains for this DP problem. From the DPs we obtained the following set of size-change graphs: *new_primEqNat(Succ(xy5400), Succ(xy57000)) -> new_primEqNat(xy5400, xy57000) The graph contains the following edges 1 > 1, 2 > 2 ---------------------------------------- (39) YES