/export/starexec/sandbox2/solver/bin/starexec_run_standard /export/starexec/sandbox2/benchmark/theBenchmark.hs /export/starexec/sandbox2/output/output_files -------------------------------------------------------------------------------- YES proof of /export/starexec/sandbox2/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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty H-Termination with start terms of the given HASKELL could be proven: (0) HASKELL (1) BR [EQUIVALENT, 0 ms] (2) HASKELL (3) COR [EQUIVALENT, 15 ms] (4)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) QDPSizeChangeProof [EQUIVALENT, 23 ms] (9) YES (10) QDP (11) QDPSizeChangeProof [EQUIVALENT, 0 ms] (12) YES (13) QDP (14) QDPSizeChangeProof [EQUIVALENT, 0 ms] (15) YES (16) QDP (17) QDPSizeChangeProof [EQUIVALENT, 0 ms] (18) YES (19) QDP (20) QDPSizeChangeProof [EQUIVALENT, 0 ms] (21) 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; } 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; } 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; } 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.isPrefixOf",fontsize=16,color="grey",shape="box"];1 -> 3[label="",style="dashed", color="grey", weight=3]; 3[label="List.isPrefixOf xy3",fontsize=16,color="grey",shape="box"];3 -> 4[label="",style="dashed", color="grey", weight=3]; 4[label="List.isPrefixOf xy3 xy4",fontsize=16,color="burlywood",shape="triangle"];631[label="xy3/xy30 : xy31",fontsize=10,color="white",style="solid",shape="box"];4 -> 631[label="",style="solid", color="burlywood", weight=9]; 631 -> 5[label="",style="solid", color="burlywood", weight=3]; 632[label="xy3/[]",fontsize=10,color="white",style="solid",shape="box"];4 -> 632[label="",style="solid", color="burlywood", weight=9]; 632 -> 6[label="",style="solid", color="burlywood", weight=3]; 5[label="List.isPrefixOf (xy30 : xy31) xy4",fontsize=16,color="burlywood",shape="box"];633[label="xy4/xy40 : xy41",fontsize=10,color="white",style="solid",shape="box"];5 -> 633[label="",style="solid", color="burlywood", weight=9]; 633 -> 7[label="",style="solid", color="burlywood", weight=3]; 634[label="xy4/[]",fontsize=10,color="white",style="solid",shape="box"];5 -> 634[label="",style="solid", color="burlywood", weight=9]; 634 -> 8[label="",style="solid", color="burlywood", weight=3]; 6[label="List.isPrefixOf [] xy4",fontsize=16,color="black",shape="box"];6 -> 9[label="",style="solid", color="black", weight=3]; 7[label="List.isPrefixOf (xy30 : xy31) (xy40 : xy41)",fontsize=16,color="black",shape="box"];7 -> 10[label="",style="solid", color="black", weight=3]; 8[label="List.isPrefixOf (xy30 : xy31) []",fontsize=16,color="black",shape="box"];8 -> 11[label="",style="solid", color="black", weight=3]; 9[label="True",fontsize=16,color="green",shape="box"];10 -> 28[label="",style="dashed", color="red", weight=0]; 10[label="xy30 == xy40 && List.isPrefixOf xy31 xy41",fontsize=16,color="magenta"];10 -> 29[label="",style="dashed", color="magenta", weight=3]; 10 -> 30[label="",style="dashed", color="magenta", weight=3]; 11[label="False",fontsize=16,color="green",shape="box"];29 -> 4[label="",style="dashed", color="red", weight=0]; 29[label="List.isPrefixOf xy31 xy41",fontsize=16,color="magenta"];29 -> 41[label="",style="dashed", color="magenta", weight=3]; 29 -> 42[label="",style="dashed", color="magenta", weight=3]; 30[label="xy30 == xy40",fontsize=16,color="burlywood",shape="triangle"];635[label="xy30/Nothing",fontsize=10,color="white",style="solid",shape="box"];30 -> 635[label="",style="solid", color="burlywood", weight=9]; 635 -> 43[label="",style="solid", color="burlywood", weight=3]; 636[label="xy30/Just xy300",fontsize=10,color="white",style="solid",shape="box"];30 -> 636[label="",style="solid", color="burlywood", weight=9]; 636 -> 44[label="",style="solid", color="burlywood", weight=3]; 28[label="xy9 && xy10",fontsize=16,color="burlywood",shape="triangle"];637[label="xy9/False",fontsize=10,color="white",style="solid",shape="box"];28 -> 637[label="",style="solid", color="burlywood", weight=9]; 637 -> 45[label="",style="solid", color="burlywood", weight=3]; 638[label="xy9/True",fontsize=10,color="white",style="solid",shape="box"];28 -> 638[label="",style="solid", color="burlywood", weight=9]; 638 -> 46[label="",style="solid", color="burlywood", weight=3]; 41[label="xy31",fontsize=16,color="green",shape="box"];42[label="xy41",fontsize=16,color="green",shape="box"];43[label="Nothing == xy40",fontsize=16,color="burlywood",shape="box"];639[label="xy40/Nothing",fontsize=10,color="white",style="solid",shape="box"];43 -> 639[label="",style="solid", color="burlywood", weight=9]; 639 -> 47[label="",style="solid", color="burlywood", weight=3]; 640[label="xy40/Just xy400",fontsize=10,color="white",style="solid",shape="box"];43 -> 640[label="",style="solid", color="burlywood", weight=9]; 640 -> 48[label="",style="solid", color="burlywood", weight=3]; 44[label="Just xy300 == xy40",fontsize=16,color="burlywood",shape="box"];641[label="xy40/Nothing",fontsize=10,color="white",style="solid",shape="box"];44 -> 641[label="",style="solid", color="burlywood", weight=9]; 641 -> 49[label="",style="solid", color="burlywood", weight=3]; 642[label="xy40/Just xy400",fontsize=10,color="white",style="solid",shape="box"];44 -> 642[label="",style="solid", color="burlywood", weight=9]; 642 -> 50[label="",style="solid", color="burlywood", weight=3]; 45[label="False && xy10",fontsize=16,color="black",shape="box"];45 -> 51[label="",style="solid", color="black", weight=3]; 46[label="True && xy10",fontsize=16,color="black",shape="box"];46 -> 52[label="",style="solid", color="black", weight=3]; 47[label="Nothing == Nothing",fontsize=16,color="black",shape="box"];47 -> 53[label="",style="solid", color="black", weight=3]; 48[label="Nothing == Just xy400",fontsize=16,color="black",shape="box"];48 -> 54[label="",style="solid", color="black", weight=3]; 49[label="Just xy300 == Nothing",fontsize=16,color="black",shape="box"];49 -> 55[label="",style="solid", color="black", weight=3]; 50[label="Just xy300 == Just xy400",fontsize=16,color="black",shape="box"];50 -> 56[label="",style="solid", color="black", weight=3]; 51[label="False",fontsize=16,color="green",shape="box"];52[label="xy10",fontsize=16,color="green",shape="box"];53[label="True",fontsize=16,color="green",shape="box"];54[label="False",fontsize=16,color="green",shape="box"];55[label="False",fontsize=16,color="green",shape="box"];56[label="xy300 == xy400",fontsize=16,color="blue",shape="box"];643[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];56 -> 643[label="",style="solid", color="blue", weight=9]; 643 -> 57[label="",style="solid", color="blue", weight=3]; 644[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];56 -> 644[label="",style="solid", color="blue", weight=9]; 644 -> 58[label="",style="solid", color="blue", weight=3]; 645[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];56 -> 645[label="",style="solid", color="blue", weight=9]; 645 -> 59[label="",style="solid", color="blue", weight=3]; 646[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];56 -> 646[label="",style="solid", color="blue", weight=9]; 646 -> 60[label="",style="solid", color="blue", weight=3]; 647[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];56 -> 647[label="",style="solid", color="blue", weight=9]; 647 -> 61[label="",style="solid", color="blue", weight=3]; 648[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];56 -> 648[label="",style="solid", color="blue", weight=9]; 648 -> 62[label="",style="solid", color="blue", weight=3]; 649[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];56 -> 649[label="",style="solid", color="blue", weight=9]; 649 -> 63[label="",style="solid", color="blue", weight=3]; 650[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];56 -> 650[label="",style="solid", color="blue", weight=9]; 650 -> 64[label="",style="solid", color="blue", weight=3]; 651[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];56 -> 651[label="",style="solid", color="blue", weight=9]; 651 -> 65[label="",style="solid", color="blue", weight=3]; 652[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];56 -> 652[label="",style="solid", color="blue", weight=9]; 652 -> 66[label="",style="solid", color="blue", weight=3]; 653[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];56 -> 653[label="",style="solid", color="blue", weight=9]; 653 -> 67[label="",style="solid", color="blue", weight=3]; 654[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];56 -> 654[label="",style="solid", color="blue", weight=9]; 654 -> 68[label="",style="solid", color="blue", weight=3]; 655[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];56 -> 655[label="",style="solid", color="blue", weight=9]; 655 -> 69[label="",style="solid", color="blue", weight=3]; 656[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];56 -> 656[label="",style="solid", color="blue", weight=9]; 656 -> 70[label="",style="solid", color="blue", weight=3]; 57[label="xy300 == xy400",fontsize=16,color="burlywood",shape="triangle"];657[label="xy300/(xy3000,xy3001,xy3002)",fontsize=10,color="white",style="solid",shape="box"];57 -> 657[label="",style="solid", color="burlywood", weight=9]; 657 -> 71[label="",style="solid", color="burlywood", weight=3]; 58[label="xy300 == xy400",fontsize=16,color="black",shape="triangle"];58 -> 72[label="",style="solid", color="black", weight=3]; 59[label="xy300 == xy400",fontsize=16,color="burlywood",shape="triangle"];658[label="xy300/xy3000 : xy3001",fontsize=10,color="white",style="solid",shape="box"];59 -> 658[label="",style="solid", color="burlywood", weight=9]; 658 -> 73[label="",style="solid", color="burlywood", weight=3]; 659[label="xy300/[]",fontsize=10,color="white",style="solid",shape="box"];59 -> 659[label="",style="solid", color="burlywood", weight=9]; 659 -> 74[label="",style="solid", color="burlywood", weight=3]; 60[label="xy300 == xy400",fontsize=16,color="black",shape="triangle"];60 -> 75[label="",style="solid", color="black", weight=3]; 61 -> 30[label="",style="dashed", color="red", weight=0]; 61[label="xy300 == xy400",fontsize=16,color="magenta"];61 -> 76[label="",style="dashed", color="magenta", weight=3]; 61 -> 77[label="",style="dashed", color="magenta", weight=3]; 62[label="xy300 == xy400",fontsize=16,color="burlywood",shape="triangle"];660[label="xy300/xy3000 :% xy3001",fontsize=10,color="white",style="solid",shape="box"];62 -> 660[label="",style="solid", color="burlywood", weight=9]; 660 -> 78[label="",style="solid", color="burlywood", weight=3]; 63[label="xy300 == xy400",fontsize=16,color="burlywood",shape="triangle"];661[label="xy300/(xy3000,xy3001)",fontsize=10,color="white",style="solid",shape="box"];63 -> 661[label="",style="solid", color="burlywood", weight=9]; 661 -> 79[label="",style="solid", color="burlywood", weight=3]; 64[label="xy300 == xy400",fontsize=16,color="burlywood",shape="triangle"];662[label="xy300/()",fontsize=10,color="white",style="solid",shape="box"];64 -> 662[label="",style="solid", color="burlywood", weight=9]; 662 -> 80[label="",style="solid", color="burlywood", weight=3]; 65[label="xy300 == xy400",fontsize=16,color="burlywood",shape="triangle"];663[label="xy300/Left xy3000",fontsize=10,color="white",style="solid",shape="box"];65 -> 663[label="",style="solid", color="burlywood", weight=9]; 663 -> 81[label="",style="solid", color="burlywood", weight=3]; 664[label="xy300/Right xy3000",fontsize=10,color="white",style="solid",shape="box"];65 -> 664[label="",style="solid", color="burlywood", weight=9]; 664 -> 82[label="",style="solid", color="burlywood", weight=3]; 66[label="xy300 == xy400",fontsize=16,color="black",shape="triangle"];66 -> 83[label="",style="solid", color="black", weight=3]; 67[label="xy300 == xy400",fontsize=16,color="burlywood",shape="triangle"];665[label="xy300/Integer xy3000",fontsize=10,color="white",style="solid",shape="box"];67 -> 665[label="",style="solid", color="burlywood", weight=9]; 665 -> 84[label="",style="solid", color="burlywood", weight=3]; 68[label="xy300 == xy400",fontsize=16,color="black",shape="triangle"];68 -> 85[label="",style="solid", color="black", weight=3]; 69[label="xy300 == xy400",fontsize=16,color="burlywood",shape="triangle"];666[label="xy300/LT",fontsize=10,color="white",style="solid",shape="box"];69 -> 666[label="",style="solid", color="burlywood", weight=9]; 666 -> 86[label="",style="solid", color="burlywood", weight=3]; 667[label="xy300/EQ",fontsize=10,color="white",style="solid",shape="box"];69 -> 667[label="",style="solid", color="burlywood", weight=9]; 667 -> 87[label="",style="solid", color="burlywood", weight=3]; 668[label="xy300/GT",fontsize=10,color="white",style="solid",shape="box"];69 -> 668[label="",style="solid", color="burlywood", weight=9]; 668 -> 88[label="",style="solid", color="burlywood", weight=3]; 70[label="xy300 == xy400",fontsize=16,color="burlywood",shape="triangle"];669[label="xy300/False",fontsize=10,color="white",style="solid",shape="box"];70 -> 669[label="",style="solid", color="burlywood", weight=9]; 669 -> 89[label="",style="solid", color="burlywood", weight=3]; 670[label="xy300/True",fontsize=10,color="white",style="solid",shape="box"];70 -> 670[label="",style="solid", color="burlywood", weight=9]; 670 -> 90[label="",style="solid", color="burlywood", weight=3]; 71[label="(xy3000,xy3001,xy3002) == xy400",fontsize=16,color="burlywood",shape="box"];671[label="xy400/(xy4000,xy4001,xy4002)",fontsize=10,color="white",style="solid",shape="box"];71 -> 671[label="",style="solid", color="burlywood", weight=9]; 671 -> 91[label="",style="solid", color="burlywood", weight=3]; 72[label="primEqFloat xy300 xy400",fontsize=16,color="burlywood",shape="box"];672[label="xy300/Float xy3000 xy3001",fontsize=10,color="white",style="solid",shape="box"];72 -> 672[label="",style="solid", color="burlywood", weight=9]; 672 -> 92[label="",style="solid", color="burlywood", weight=3]; 73[label="xy3000 : xy3001 == xy400",fontsize=16,color="burlywood",shape="box"];673[label="xy400/xy4000 : xy4001",fontsize=10,color="white",style="solid",shape="box"];73 -> 673[label="",style="solid", color="burlywood", weight=9]; 673 -> 93[label="",style="solid", color="burlywood", weight=3]; 674[label="xy400/[]",fontsize=10,color="white",style="solid",shape="box"];73 -> 674[label="",style="solid", color="burlywood", weight=9]; 674 -> 94[label="",style="solid", color="burlywood", weight=3]; 74[label="[] == xy400",fontsize=16,color="burlywood",shape="box"];675[label="xy400/xy4000 : xy4001",fontsize=10,color="white",style="solid",shape="box"];74 -> 675[label="",style="solid", color="burlywood", weight=9]; 675 -> 95[label="",style="solid", color="burlywood", weight=3]; 676[label="xy400/[]",fontsize=10,color="white",style="solid",shape="box"];74 -> 676[label="",style="solid", color="burlywood", weight=9]; 676 -> 96[label="",style="solid", color="burlywood", weight=3]; 75[label="primEqChar xy300 xy400",fontsize=16,color="burlywood",shape="box"];677[label="xy300/Char xy3000",fontsize=10,color="white",style="solid",shape="box"];75 -> 677[label="",style="solid", color="burlywood", weight=9]; 677 -> 97[label="",style="solid", color="burlywood", weight=3]; 76[label="xy400",fontsize=16,color="green",shape="box"];77[label="xy300",fontsize=16,color="green",shape="box"];78[label="xy3000 :% xy3001 == xy400",fontsize=16,color="burlywood",shape="box"];678[label="xy400/xy4000 :% xy4001",fontsize=10,color="white",style="solid",shape="box"];78 -> 678[label="",style="solid", color="burlywood", weight=9]; 678 -> 98[label="",style="solid", color="burlywood", weight=3]; 79[label="(xy3000,xy3001) == xy400",fontsize=16,color="burlywood",shape="box"];679[label="xy400/(xy4000,xy4001)",fontsize=10,color="white",style="solid",shape="box"];79 -> 679[label="",style="solid", color="burlywood", weight=9]; 679 -> 99[label="",style="solid", color="burlywood", weight=3]; 80[label="() == xy400",fontsize=16,color="burlywood",shape="box"];680[label="xy400/()",fontsize=10,color="white",style="solid",shape="box"];80 -> 680[label="",style="solid", color="burlywood", weight=9]; 680 -> 100[label="",style="solid", color="burlywood", weight=3]; 81[label="Left xy3000 == xy400",fontsize=16,color="burlywood",shape="box"];681[label="xy400/Left xy4000",fontsize=10,color="white",style="solid",shape="box"];81 -> 681[label="",style="solid", color="burlywood", weight=9]; 681 -> 101[label="",style="solid", color="burlywood", weight=3]; 682[label="xy400/Right xy4000",fontsize=10,color="white",style="solid",shape="box"];81 -> 682[label="",style="solid", color="burlywood", weight=9]; 682 -> 102[label="",style="solid", color="burlywood", weight=3]; 82[label="Right xy3000 == xy400",fontsize=16,color="burlywood",shape="box"];683[label="xy400/Left xy4000",fontsize=10,color="white",style="solid",shape="box"];82 -> 683[label="",style="solid", color="burlywood", weight=9]; 683 -> 103[label="",style="solid", color="burlywood", weight=3]; 684[label="xy400/Right xy4000",fontsize=10,color="white",style="solid",shape="box"];82 -> 684[label="",style="solid", color="burlywood", weight=9]; 684 -> 104[label="",style="solid", color="burlywood", weight=3]; 83[label="primEqDouble xy300 xy400",fontsize=16,color="burlywood",shape="box"];685[label="xy300/Double xy3000 xy3001",fontsize=10,color="white",style="solid",shape="box"];83 -> 685[label="",style="solid", color="burlywood", weight=9]; 685 -> 105[label="",style="solid", color="burlywood", weight=3]; 84[label="Integer xy3000 == xy400",fontsize=16,color="burlywood",shape="box"];686[label="xy400/Integer xy4000",fontsize=10,color="white",style="solid",shape="box"];84 -> 686[label="",style="solid", color="burlywood", weight=9]; 686 -> 106[label="",style="solid", color="burlywood", weight=3]; 85[label="primEqInt xy300 xy400",fontsize=16,color="burlywood",shape="triangle"];687[label="xy300/Pos xy3000",fontsize=10,color="white",style="solid",shape="box"];85 -> 687[label="",style="solid", color="burlywood", weight=9]; 687 -> 107[label="",style="solid", color="burlywood", weight=3]; 688[label="xy300/Neg xy3000",fontsize=10,color="white",style="solid",shape="box"];85 -> 688[label="",style="solid", color="burlywood", weight=9]; 688 -> 108[label="",style="solid", color="burlywood", weight=3]; 86[label="LT == xy400",fontsize=16,color="burlywood",shape="box"];689[label="xy400/LT",fontsize=10,color="white",style="solid",shape="box"];86 -> 689[label="",style="solid", color="burlywood", weight=9]; 689 -> 109[label="",style="solid", color="burlywood", weight=3]; 690[label="xy400/EQ",fontsize=10,color="white",style="solid",shape="box"];86 -> 690[label="",style="solid", color="burlywood", weight=9]; 690 -> 110[label="",style="solid", color="burlywood", weight=3]; 691[label="xy400/GT",fontsize=10,color="white",style="solid",shape="box"];86 -> 691[label="",style="solid", color="burlywood", weight=9]; 691 -> 111[label="",style="solid", color="burlywood", weight=3]; 87[label="EQ == xy400",fontsize=16,color="burlywood",shape="box"];692[label="xy400/LT",fontsize=10,color="white",style="solid",shape="box"];87 -> 692[label="",style="solid", color="burlywood", weight=9]; 692 -> 112[label="",style="solid", color="burlywood", weight=3]; 693[label="xy400/EQ",fontsize=10,color="white",style="solid",shape="box"];87 -> 693[label="",style="solid", color="burlywood", weight=9]; 693 -> 113[label="",style="solid", color="burlywood", weight=3]; 694[label="xy400/GT",fontsize=10,color="white",style="solid",shape="box"];87 -> 694[label="",style="solid", color="burlywood", weight=9]; 694 -> 114[label="",style="solid", color="burlywood", weight=3]; 88[label="GT == xy400",fontsize=16,color="burlywood",shape="box"];695[label="xy400/LT",fontsize=10,color="white",style="solid",shape="box"];88 -> 695[label="",style="solid", color="burlywood", weight=9]; 695 -> 115[label="",style="solid", color="burlywood", weight=3]; 696[label="xy400/EQ",fontsize=10,color="white",style="solid",shape="box"];88 -> 696[label="",style="solid", color="burlywood", weight=9]; 696 -> 116[label="",style="solid", color="burlywood", weight=3]; 697[label="xy400/GT",fontsize=10,color="white",style="solid",shape="box"];88 -> 697[label="",style="solid", color="burlywood", weight=9]; 697 -> 117[label="",style="solid", color="burlywood", weight=3]; 89[label="False == xy400",fontsize=16,color="burlywood",shape="box"];698[label="xy400/False",fontsize=10,color="white",style="solid",shape="box"];89 -> 698[label="",style="solid", color="burlywood", weight=9]; 698 -> 118[label="",style="solid", color="burlywood", weight=3]; 699[label="xy400/True",fontsize=10,color="white",style="solid",shape="box"];89 -> 699[label="",style="solid", color="burlywood", weight=9]; 699 -> 119[label="",style="solid", color="burlywood", weight=3]; 90[label="True == xy400",fontsize=16,color="burlywood",shape="box"];700[label="xy400/False",fontsize=10,color="white",style="solid",shape="box"];90 -> 700[label="",style="solid", color="burlywood", weight=9]; 700 -> 120[label="",style="solid", color="burlywood", weight=3]; 701[label="xy400/True",fontsize=10,color="white",style="solid",shape="box"];90 -> 701[label="",style="solid", color="burlywood", weight=9]; 701 -> 121[label="",style="solid", color="burlywood", weight=3]; 91[label="(xy3000,xy3001,xy3002) == (xy4000,xy4001,xy4002)",fontsize=16,color="black",shape="box"];91 -> 122[label="",style="solid", color="black", weight=3]; 92[label="primEqFloat (Float xy3000 xy3001) xy400",fontsize=16,color="burlywood",shape="box"];702[label="xy400/Float xy4000 xy4001",fontsize=10,color="white",style="solid",shape="box"];92 -> 702[label="",style="solid", color="burlywood", weight=9]; 702 -> 123[label="",style="solid", color="burlywood", weight=3]; 93[label="xy3000 : xy3001 == xy4000 : xy4001",fontsize=16,color="black",shape="box"];93 -> 124[label="",style="solid", color="black", weight=3]; 94[label="xy3000 : xy3001 == []",fontsize=16,color="black",shape="box"];94 -> 125[label="",style="solid", color="black", weight=3]; 95[label="[] == xy4000 : xy4001",fontsize=16,color="black",shape="box"];95 -> 126[label="",style="solid", color="black", weight=3]; 96[label="[] == []",fontsize=16,color="black",shape="box"];96 -> 127[label="",style="solid", color="black", weight=3]; 97[label="primEqChar (Char xy3000) xy400",fontsize=16,color="burlywood",shape="box"];703[label="xy400/Char xy4000",fontsize=10,color="white",style="solid",shape="box"];97 -> 703[label="",style="solid", color="burlywood", weight=9]; 703 -> 128[label="",style="solid", color="burlywood", weight=3]; 98[label="xy3000 :% xy3001 == xy4000 :% xy4001",fontsize=16,color="black",shape="box"];98 -> 129[label="",style="solid", color="black", weight=3]; 99[label="(xy3000,xy3001) == (xy4000,xy4001)",fontsize=16,color="black",shape="box"];99 -> 130[label="",style="solid", color="black", weight=3]; 100[label="() == ()",fontsize=16,color="black",shape="box"];100 -> 131[label="",style="solid", color="black", weight=3]; 101[label="Left xy3000 == Left xy4000",fontsize=16,color="black",shape="box"];101 -> 132[label="",style="solid", color="black", weight=3]; 102[label="Left xy3000 == Right xy4000",fontsize=16,color="black",shape="box"];102 -> 133[label="",style="solid", color="black", weight=3]; 103[label="Right xy3000 == Left xy4000",fontsize=16,color="black",shape="box"];103 -> 134[label="",style="solid", color="black", weight=3]; 104[label="Right xy3000 == Right xy4000",fontsize=16,color="black",shape="box"];104 -> 135[label="",style="solid", color="black", weight=3]; 105[label="primEqDouble (Double xy3000 xy3001) xy400",fontsize=16,color="burlywood",shape="box"];704[label="xy400/Double xy4000 xy4001",fontsize=10,color="white",style="solid",shape="box"];105 -> 704[label="",style="solid", color="burlywood", weight=9]; 704 -> 136[label="",style="solid", color="burlywood", weight=3]; 106[label="Integer xy3000 == Integer xy4000",fontsize=16,color="black",shape="box"];106 -> 137[label="",style="solid", color="black", weight=3]; 107[label="primEqInt (Pos xy3000) xy400",fontsize=16,color="burlywood",shape="box"];705[label="xy3000/Succ xy30000",fontsize=10,color="white",style="solid",shape="box"];107 -> 705[label="",style="solid", color="burlywood", weight=9]; 705 -> 138[label="",style="solid", color="burlywood", weight=3]; 706[label="xy3000/Zero",fontsize=10,color="white",style="solid",shape="box"];107 -> 706[label="",style="solid", color="burlywood", weight=9]; 706 -> 139[label="",style="solid", color="burlywood", weight=3]; 108[label="primEqInt (Neg xy3000) xy400",fontsize=16,color="burlywood",shape="box"];707[label="xy3000/Succ xy30000",fontsize=10,color="white",style="solid",shape="box"];108 -> 707[label="",style="solid", color="burlywood", weight=9]; 707 -> 140[label="",style="solid", color="burlywood", weight=3]; 708[label="xy3000/Zero",fontsize=10,color="white",style="solid",shape="box"];108 -> 708[label="",style="solid", color="burlywood", weight=9]; 708 -> 141[label="",style="solid", color="burlywood", weight=3]; 109[label="LT == LT",fontsize=16,color="black",shape="box"];109 -> 142[label="",style="solid", color="black", weight=3]; 110[label="LT == EQ",fontsize=16,color="black",shape="box"];110 -> 143[label="",style="solid", color="black", weight=3]; 111[label="LT == GT",fontsize=16,color="black",shape="box"];111 -> 144[label="",style="solid", color="black", weight=3]; 112[label="EQ == LT",fontsize=16,color="black",shape="box"];112 -> 145[label="",style="solid", color="black", weight=3]; 113[label="EQ == EQ",fontsize=16,color="black",shape="box"];113 -> 146[label="",style="solid", color="black", weight=3]; 114[label="EQ == GT",fontsize=16,color="black",shape="box"];114 -> 147[label="",style="solid", color="black", weight=3]; 115[label="GT == LT",fontsize=16,color="black",shape="box"];115 -> 148[label="",style="solid", color="black", weight=3]; 116[label="GT == EQ",fontsize=16,color="black",shape="box"];116 -> 149[label="",style="solid", color="black", weight=3]; 117[label="GT == GT",fontsize=16,color="black",shape="box"];117 -> 150[label="",style="solid", color="black", weight=3]; 118[label="False == False",fontsize=16,color="black",shape="box"];118 -> 151[label="",style="solid", color="black", weight=3]; 119[label="False == True",fontsize=16,color="black",shape="box"];119 -> 152[label="",style="solid", color="black", weight=3]; 120[label="True == False",fontsize=16,color="black",shape="box"];120 -> 153[label="",style="solid", color="black", weight=3]; 121[label="True == True",fontsize=16,color="black",shape="box"];121 -> 154[label="",style="solid", color="black", weight=3]; 122 -> 28[label="",style="dashed", color="red", weight=0]; 122[label="xy3000 == xy4000 && xy3001 == xy4001 && xy3002 == xy4002",fontsize=16,color="magenta"];122 -> 155[label="",style="dashed", color="magenta", weight=3]; 122 -> 156[label="",style="dashed", color="magenta", weight=3]; 123[label="primEqFloat (Float xy3000 xy3001) (Float xy4000 xy4001)",fontsize=16,color="black",shape="box"];123 -> 157[label="",style="solid", color="black", weight=3]; 124 -> 28[label="",style="dashed", color="red", weight=0]; 124[label="xy3000 == xy4000 && xy3001 == xy4001",fontsize=16,color="magenta"];124 -> 158[label="",style="dashed", color="magenta", weight=3]; 124 -> 159[label="",style="dashed", color="magenta", weight=3]; 125[label="False",fontsize=16,color="green",shape="box"];126[label="False",fontsize=16,color="green",shape="box"];127[label="True",fontsize=16,color="green",shape="box"];128[label="primEqChar (Char xy3000) (Char xy4000)",fontsize=16,color="black",shape="box"];128 -> 160[label="",style="solid", color="black", weight=3]; 129 -> 28[label="",style="dashed", color="red", weight=0]; 129[label="xy3000 == xy4000 && xy3001 == xy4001",fontsize=16,color="magenta"];129 -> 161[label="",style="dashed", color="magenta", weight=3]; 129 -> 162[label="",style="dashed", color="magenta", weight=3]; 130 -> 28[label="",style="dashed", color="red", weight=0]; 130[label="xy3000 == xy4000 && xy3001 == xy4001",fontsize=16,color="magenta"];130 -> 163[label="",style="dashed", color="magenta", weight=3]; 130 -> 164[label="",style="dashed", color="magenta", weight=3]; 131[label="True",fontsize=16,color="green",shape="box"];132[label="xy3000 == xy4000",fontsize=16,color="blue",shape="box"];709[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];132 -> 709[label="",style="solid", color="blue", weight=9]; 709 -> 165[label="",style="solid", color="blue", weight=3]; 710[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];132 -> 710[label="",style="solid", color="blue", weight=9]; 710 -> 166[label="",style="solid", color="blue", weight=3]; 711[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];132 -> 711[label="",style="solid", color="blue", weight=9]; 711 -> 167[label="",style="solid", color="blue", weight=3]; 712[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];132 -> 712[label="",style="solid", color="blue", weight=9]; 712 -> 168[label="",style="solid", color="blue", weight=3]; 713[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];132 -> 713[label="",style="solid", color="blue", weight=9]; 713 -> 169[label="",style="solid", color="blue", weight=3]; 714[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];132 -> 714[label="",style="solid", color="blue", weight=9]; 714 -> 170[label="",style="solid", color="blue", weight=3]; 715[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];132 -> 715[label="",style="solid", color="blue", weight=9]; 715 -> 171[label="",style="solid", color="blue", weight=3]; 716[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];132 -> 716[label="",style="solid", color="blue", weight=9]; 716 -> 172[label="",style="solid", color="blue", weight=3]; 717[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];132 -> 717[label="",style="solid", color="blue", weight=9]; 717 -> 173[label="",style="solid", color="blue", weight=3]; 718[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];132 -> 718[label="",style="solid", color="blue", weight=9]; 718 -> 174[label="",style="solid", color="blue", weight=3]; 719[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];132 -> 719[label="",style="solid", color="blue", weight=9]; 719 -> 175[label="",style="solid", color="blue", weight=3]; 720[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];132 -> 720[label="",style="solid", color="blue", weight=9]; 720 -> 176[label="",style="solid", color="blue", weight=3]; 721[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];132 -> 721[label="",style="solid", color="blue", weight=9]; 721 -> 177[label="",style="solid", color="blue", weight=3]; 722[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];132 -> 722[label="",style="solid", color="blue", weight=9]; 722 -> 178[label="",style="solid", color="blue", weight=3]; 133[label="False",fontsize=16,color="green",shape="box"];134[label="False",fontsize=16,color="green",shape="box"];135[label="xy3000 == xy4000",fontsize=16,color="blue",shape="box"];723[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];135 -> 723[label="",style="solid", color="blue", weight=9]; 723 -> 179[label="",style="solid", color="blue", weight=3]; 724[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];135 -> 724[label="",style="solid", color="blue", weight=9]; 724 -> 180[label="",style="solid", color="blue", weight=3]; 725[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];135 -> 725[label="",style="solid", color="blue", weight=9]; 725 -> 181[label="",style="solid", color="blue", weight=3]; 726[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];135 -> 726[label="",style="solid", color="blue", weight=9]; 726 -> 182[label="",style="solid", color="blue", weight=3]; 727[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];135 -> 727[label="",style="solid", color="blue", weight=9]; 727 -> 183[label="",style="solid", color="blue", weight=3]; 728[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];135 -> 728[label="",style="solid", color="blue", weight=9]; 728 -> 184[label="",style="solid", color="blue", weight=3]; 729[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];135 -> 729[label="",style="solid", color="blue", weight=9]; 729 -> 185[label="",style="solid", color="blue", weight=3]; 730[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];135 -> 730[label="",style="solid", color="blue", weight=9]; 730 -> 186[label="",style="solid", color="blue", weight=3]; 731[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];135 -> 731[label="",style="solid", color="blue", weight=9]; 731 -> 187[label="",style="solid", color="blue", weight=3]; 732[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];135 -> 732[label="",style="solid", color="blue", weight=9]; 732 -> 188[label="",style="solid", color="blue", weight=3]; 733[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];135 -> 733[label="",style="solid", color="blue", weight=9]; 733 -> 189[label="",style="solid", color="blue", weight=3]; 734[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];135 -> 734[label="",style="solid", color="blue", weight=9]; 734 -> 190[label="",style="solid", color="blue", weight=3]; 735[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];135 -> 735[label="",style="solid", color="blue", weight=9]; 735 -> 191[label="",style="solid", color="blue", weight=3]; 736[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];135 -> 736[label="",style="solid", color="blue", weight=9]; 736 -> 192[label="",style="solid", color="blue", weight=3]; 136[label="primEqDouble (Double xy3000 xy3001) (Double xy4000 xy4001)",fontsize=16,color="black",shape="box"];136 -> 193[label="",style="solid", color="black", weight=3]; 137 -> 85[label="",style="dashed", color="red", weight=0]; 137[label="primEqInt xy3000 xy4000",fontsize=16,color="magenta"];137 -> 194[label="",style="dashed", color="magenta", weight=3]; 137 -> 195[label="",style="dashed", color="magenta", weight=3]; 138[label="primEqInt (Pos (Succ xy30000)) xy400",fontsize=16,color="burlywood",shape="box"];737[label="xy400/Pos xy4000",fontsize=10,color="white",style="solid",shape="box"];138 -> 737[label="",style="solid", color="burlywood", weight=9]; 737 -> 196[label="",style="solid", color="burlywood", weight=3]; 738[label="xy400/Neg xy4000",fontsize=10,color="white",style="solid",shape="box"];138 -> 738[label="",style="solid", color="burlywood", weight=9]; 738 -> 197[label="",style="solid", color="burlywood", weight=3]; 139[label="primEqInt (Pos Zero) xy400",fontsize=16,color="burlywood",shape="box"];739[label="xy400/Pos xy4000",fontsize=10,color="white",style="solid",shape="box"];139 -> 739[label="",style="solid", color="burlywood", weight=9]; 739 -> 198[label="",style="solid", color="burlywood", weight=3]; 740[label="xy400/Neg xy4000",fontsize=10,color="white",style="solid",shape="box"];139 -> 740[label="",style="solid", color="burlywood", weight=9]; 740 -> 199[label="",style="solid", color="burlywood", weight=3]; 140[label="primEqInt (Neg (Succ xy30000)) xy400",fontsize=16,color="burlywood",shape="box"];741[label="xy400/Pos xy4000",fontsize=10,color="white",style="solid",shape="box"];140 -> 741[label="",style="solid", color="burlywood", weight=9]; 741 -> 200[label="",style="solid", color="burlywood", weight=3]; 742[label="xy400/Neg xy4000",fontsize=10,color="white",style="solid",shape="box"];140 -> 742[label="",style="solid", color="burlywood", weight=9]; 742 -> 201[label="",style="solid", color="burlywood", weight=3]; 141[label="primEqInt (Neg Zero) xy400",fontsize=16,color="burlywood",shape="box"];743[label="xy400/Pos xy4000",fontsize=10,color="white",style="solid",shape="box"];141 -> 743[label="",style="solid", color="burlywood", weight=9]; 743 -> 202[label="",style="solid", color="burlywood", weight=3]; 744[label="xy400/Neg xy4000",fontsize=10,color="white",style="solid",shape="box"];141 -> 744[label="",style="solid", color="burlywood", weight=9]; 744 -> 203[label="",style="solid", color="burlywood", weight=3]; 142[label="True",fontsize=16,color="green",shape="box"];143[label="False",fontsize=16,color="green",shape="box"];144[label="False",fontsize=16,color="green",shape="box"];145[label="False",fontsize=16,color="green",shape="box"];146[label="True",fontsize=16,color="green",shape="box"];147[label="False",fontsize=16,color="green",shape="box"];148[label="False",fontsize=16,color="green",shape="box"];149[label="False",fontsize=16,color="green",shape="box"];150[label="True",fontsize=16,color="green",shape="box"];151[label="True",fontsize=16,color="green",shape="box"];152[label="False",fontsize=16,color="green",shape="box"];153[label="False",fontsize=16,color="green",shape="box"];154[label="True",fontsize=16,color="green",shape="box"];155 -> 28[label="",style="dashed", color="red", weight=0]; 155[label="xy3001 == xy4001 && xy3002 == xy4002",fontsize=16,color="magenta"];155 -> 204[label="",style="dashed", color="magenta", weight=3]; 155 -> 205[label="",style="dashed", color="magenta", weight=3]; 156[label="xy3000 == xy4000",fontsize=16,color="blue",shape="box"];745[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];156 -> 745[label="",style="solid", color="blue", weight=9]; 745 -> 206[label="",style="solid", color="blue", weight=3]; 746[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];156 -> 746[label="",style="solid", color="blue", weight=9]; 746 -> 207[label="",style="solid", color="blue", weight=3]; 747[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];156 -> 747[label="",style="solid", color="blue", weight=9]; 747 -> 208[label="",style="solid", color="blue", weight=3]; 748[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];156 -> 748[label="",style="solid", color="blue", weight=9]; 748 -> 209[label="",style="solid", color="blue", weight=3]; 749[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];156 -> 749[label="",style="solid", color="blue", weight=9]; 749 -> 210[label="",style="solid", color="blue", weight=3]; 750[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];156 -> 750[label="",style="solid", color="blue", weight=9]; 750 -> 211[label="",style="solid", color="blue", weight=3]; 751[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];156 -> 751[label="",style="solid", color="blue", weight=9]; 751 -> 212[label="",style="solid", color="blue", weight=3]; 752[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];156 -> 752[label="",style="solid", color="blue", weight=9]; 752 -> 213[label="",style="solid", color="blue", weight=3]; 753[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];156 -> 753[label="",style="solid", color="blue", weight=9]; 753 -> 214[label="",style="solid", color="blue", weight=3]; 754[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];156 -> 754[label="",style="solid", color="blue", weight=9]; 754 -> 215[label="",style="solid", color="blue", weight=3]; 755[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];156 -> 755[label="",style="solid", color="blue", weight=9]; 755 -> 216[label="",style="solid", color="blue", weight=3]; 756[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];156 -> 756[label="",style="solid", color="blue", weight=9]; 756 -> 217[label="",style="solid", color="blue", weight=3]; 757[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];156 -> 757[label="",style="solid", color="blue", weight=9]; 757 -> 218[label="",style="solid", color="blue", weight=3]; 758[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];156 -> 758[label="",style="solid", color="blue", weight=9]; 758 -> 219[label="",style="solid", color="blue", weight=3]; 157 -> 68[label="",style="dashed", color="red", weight=0]; 157[label="xy3000 * xy4001 == xy3001 * xy4000",fontsize=16,color="magenta"];157 -> 220[label="",style="dashed", color="magenta", weight=3]; 157 -> 221[label="",style="dashed", color="magenta", weight=3]; 158 -> 59[label="",style="dashed", color="red", weight=0]; 158[label="xy3001 == xy4001",fontsize=16,color="magenta"];158 -> 222[label="",style="dashed", color="magenta", weight=3]; 158 -> 223[label="",style="dashed", color="magenta", weight=3]; 159[label="xy3000 == xy4000",fontsize=16,color="blue",shape="box"];759[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];159 -> 759[label="",style="solid", color="blue", weight=9]; 759 -> 224[label="",style="solid", color="blue", weight=3]; 760[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];159 -> 760[label="",style="solid", color="blue", weight=9]; 760 -> 225[label="",style="solid", color="blue", weight=3]; 761[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];159 -> 761[label="",style="solid", color="blue", weight=9]; 761 -> 226[label="",style="solid", color="blue", weight=3]; 762[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];159 -> 762[label="",style="solid", color="blue", weight=9]; 762 -> 227[label="",style="solid", color="blue", weight=3]; 763[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];159 -> 763[label="",style="solid", color="blue", weight=9]; 763 -> 228[label="",style="solid", color="blue", weight=3]; 764[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];159 -> 764[label="",style="solid", color="blue", weight=9]; 764 -> 229[label="",style="solid", color="blue", weight=3]; 765[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];159 -> 765[label="",style="solid", color="blue", weight=9]; 765 -> 230[label="",style="solid", color="blue", weight=3]; 766[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];159 -> 766[label="",style="solid", color="blue", weight=9]; 766 -> 231[label="",style="solid", color="blue", weight=3]; 767[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];159 -> 767[label="",style="solid", color="blue", weight=9]; 767 -> 232[label="",style="solid", color="blue", weight=3]; 768[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];159 -> 768[label="",style="solid", color="blue", weight=9]; 768 -> 233[label="",style="solid", color="blue", weight=3]; 769[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];159 -> 769[label="",style="solid", color="blue", weight=9]; 769 -> 234[label="",style="solid", color="blue", weight=3]; 770[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];159 -> 770[label="",style="solid", color="blue", weight=9]; 770 -> 235[label="",style="solid", color="blue", weight=3]; 771[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];159 -> 771[label="",style="solid", color="blue", weight=9]; 771 -> 236[label="",style="solid", color="blue", weight=3]; 772[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];159 -> 772[label="",style="solid", color="blue", weight=9]; 772 -> 237[label="",style="solid", color="blue", weight=3]; 160[label="primEqNat xy3000 xy4000",fontsize=16,color="burlywood",shape="triangle"];773[label="xy3000/Succ xy30000",fontsize=10,color="white",style="solid",shape="box"];160 -> 773[label="",style="solid", color="burlywood", weight=9]; 773 -> 238[label="",style="solid", color="burlywood", weight=3]; 774[label="xy3000/Zero",fontsize=10,color="white",style="solid",shape="box"];160 -> 774[label="",style="solid", color="burlywood", weight=9]; 774 -> 239[label="",style="solid", color="burlywood", weight=3]; 161[label="xy3001 == xy4001",fontsize=16,color="blue",shape="box"];775[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];161 -> 775[label="",style="solid", color="blue", weight=9]; 775 -> 240[label="",style="solid", color="blue", weight=3]; 776[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];161 -> 776[label="",style="solid", color="blue", weight=9]; 776 -> 241[label="",style="solid", color="blue", weight=3]; 162[label="xy3000 == xy4000",fontsize=16,color="blue",shape="box"];777[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];162 -> 777[label="",style="solid", color="blue", weight=9]; 777 -> 242[label="",style="solid", color="blue", weight=3]; 778[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];162 -> 778[label="",style="solid", color="blue", weight=9]; 778 -> 243[label="",style="solid", color="blue", weight=3]; 163[label="xy3001 == xy4001",fontsize=16,color="blue",shape="box"];779[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];163 -> 779[label="",style="solid", color="blue", weight=9]; 779 -> 244[label="",style="solid", color="blue", weight=3]; 780[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];163 -> 780[label="",style="solid", color="blue", weight=9]; 780 -> 245[label="",style="solid", color="blue", weight=3]; 781[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];163 -> 781[label="",style="solid", color="blue", weight=9]; 781 -> 246[label="",style="solid", color="blue", weight=3]; 782[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];163 -> 782[label="",style="solid", color="blue", weight=9]; 782 -> 247[label="",style="solid", color="blue", weight=3]; 783[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];163 -> 783[label="",style="solid", color="blue", weight=9]; 783 -> 248[label="",style="solid", color="blue", weight=3]; 784[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];163 -> 784[label="",style="solid", color="blue", weight=9]; 784 -> 249[label="",style="solid", color="blue", weight=3]; 785[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];163 -> 785[label="",style="solid", color="blue", weight=9]; 785 -> 250[label="",style="solid", color="blue", weight=3]; 786[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];163 -> 786[label="",style="solid", color="blue", weight=9]; 786 -> 251[label="",style="solid", color="blue", weight=3]; 787[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];163 -> 787[label="",style="solid", color="blue", weight=9]; 787 -> 252[label="",style="solid", color="blue", weight=3]; 788[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];163 -> 788[label="",style="solid", color="blue", weight=9]; 788 -> 253[label="",style="solid", color="blue", weight=3]; 789[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];163 -> 789[label="",style="solid", color="blue", weight=9]; 789 -> 254[label="",style="solid", color="blue", weight=3]; 790[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];163 -> 790[label="",style="solid", color="blue", weight=9]; 790 -> 255[label="",style="solid", color="blue", weight=3]; 791[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];163 -> 791[label="",style="solid", color="blue", weight=9]; 791 -> 256[label="",style="solid", color="blue", weight=3]; 792[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];163 -> 792[label="",style="solid", color="blue", weight=9]; 792 -> 257[label="",style="solid", color="blue", weight=3]; 164[label="xy3000 == xy4000",fontsize=16,color="blue",shape="box"];793[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];164 -> 793[label="",style="solid", color="blue", weight=9]; 793 -> 258[label="",style="solid", color="blue", weight=3]; 794[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];164 -> 794[label="",style="solid", color="blue", weight=9]; 794 -> 259[label="",style="solid", color="blue", weight=3]; 795[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];164 -> 795[label="",style="solid", color="blue", weight=9]; 795 -> 260[label="",style="solid", color="blue", weight=3]; 796[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];164 -> 796[label="",style="solid", color="blue", weight=9]; 796 -> 261[label="",style="solid", color="blue", weight=3]; 797[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];164 -> 797[label="",style="solid", color="blue", weight=9]; 797 -> 262[label="",style="solid", color="blue", weight=3]; 798[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];164 -> 798[label="",style="solid", color="blue", weight=9]; 798 -> 263[label="",style="solid", color="blue", weight=3]; 799[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];164 -> 799[label="",style="solid", color="blue", weight=9]; 799 -> 264[label="",style="solid", color="blue", weight=3]; 800[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];164 -> 800[label="",style="solid", color="blue", weight=9]; 800 -> 265[label="",style="solid", color="blue", weight=3]; 801[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];164 -> 801[label="",style="solid", color="blue", weight=9]; 801 -> 266[label="",style="solid", color="blue", weight=3]; 802[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];164 -> 802[label="",style="solid", color="blue", weight=9]; 802 -> 267[label="",style="solid", color="blue", weight=3]; 803[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];164 -> 803[label="",style="solid", color="blue", weight=9]; 803 -> 268[label="",style="solid", color="blue", weight=3]; 804[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];164 -> 804[label="",style="solid", color="blue", weight=9]; 804 -> 269[label="",style="solid", color="blue", weight=3]; 805[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];164 -> 805[label="",style="solid", color="blue", weight=9]; 805 -> 270[label="",style="solid", color="blue", weight=3]; 806[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];164 -> 806[label="",style="solid", color="blue", weight=9]; 806 -> 271[label="",style="solid", color="blue", weight=3]; 165 -> 57[label="",style="dashed", color="red", weight=0]; 165[label="xy3000 == xy4000",fontsize=16,color="magenta"];165 -> 272[label="",style="dashed", color="magenta", weight=3]; 165 -> 273[label="",style="dashed", color="magenta", weight=3]; 166 -> 58[label="",style="dashed", color="red", weight=0]; 166[label="xy3000 == xy4000",fontsize=16,color="magenta"];166 -> 274[label="",style="dashed", color="magenta", weight=3]; 166 -> 275[label="",style="dashed", color="magenta", weight=3]; 167 -> 59[label="",style="dashed", color="red", weight=0]; 167[label="xy3000 == xy4000",fontsize=16,color="magenta"];167 -> 276[label="",style="dashed", color="magenta", weight=3]; 167 -> 277[label="",style="dashed", color="magenta", weight=3]; 168 -> 60[label="",style="dashed", color="red", weight=0]; 168[label="xy3000 == xy4000",fontsize=16,color="magenta"];168 -> 278[label="",style="dashed", color="magenta", weight=3]; 168 -> 279[label="",style="dashed", color="magenta", weight=3]; 169 -> 30[label="",style="dashed", color="red", weight=0]; 169[label="xy3000 == xy4000",fontsize=16,color="magenta"];169 -> 280[label="",style="dashed", color="magenta", weight=3]; 169 -> 281[label="",style="dashed", color="magenta", weight=3]; 170 -> 62[label="",style="dashed", color="red", weight=0]; 170[label="xy3000 == xy4000",fontsize=16,color="magenta"];170 -> 282[label="",style="dashed", color="magenta", weight=3]; 170 -> 283[label="",style="dashed", color="magenta", weight=3]; 171 -> 63[label="",style="dashed", color="red", weight=0]; 171[label="xy3000 == xy4000",fontsize=16,color="magenta"];171 -> 284[label="",style="dashed", color="magenta", weight=3]; 171 -> 285[label="",style="dashed", color="magenta", weight=3]; 172 -> 64[label="",style="dashed", color="red", weight=0]; 172[label="xy3000 == xy4000",fontsize=16,color="magenta"];172 -> 286[label="",style="dashed", color="magenta", weight=3]; 172 -> 287[label="",style="dashed", color="magenta", weight=3]; 173 -> 65[label="",style="dashed", color="red", weight=0]; 173[label="xy3000 == xy4000",fontsize=16,color="magenta"];173 -> 288[label="",style="dashed", color="magenta", weight=3]; 173 -> 289[label="",style="dashed", color="magenta", weight=3]; 174 -> 66[label="",style="dashed", color="red", weight=0]; 174[label="xy3000 == xy4000",fontsize=16,color="magenta"];174 -> 290[label="",style="dashed", color="magenta", weight=3]; 174 -> 291[label="",style="dashed", color="magenta", weight=3]; 175 -> 67[label="",style="dashed", color="red", weight=0]; 175[label="xy3000 == xy4000",fontsize=16,color="magenta"];175 -> 292[label="",style="dashed", color="magenta", weight=3]; 175 -> 293[label="",style="dashed", color="magenta", weight=3]; 176 -> 68[label="",style="dashed", color="red", weight=0]; 176[label="xy3000 == xy4000",fontsize=16,color="magenta"];176 -> 294[label="",style="dashed", color="magenta", weight=3]; 176 -> 295[label="",style="dashed", color="magenta", weight=3]; 177 -> 69[label="",style="dashed", color="red", weight=0]; 177[label="xy3000 == xy4000",fontsize=16,color="magenta"];177 -> 296[label="",style="dashed", color="magenta", weight=3]; 177 -> 297[label="",style="dashed", color="magenta", weight=3]; 178 -> 70[label="",style="dashed", color="red", weight=0]; 178[label="xy3000 == xy4000",fontsize=16,color="magenta"];178 -> 298[label="",style="dashed", color="magenta", weight=3]; 178 -> 299[label="",style="dashed", color="magenta", weight=3]; 179 -> 57[label="",style="dashed", color="red", weight=0]; 179[label="xy3000 == xy4000",fontsize=16,color="magenta"];179 -> 300[label="",style="dashed", color="magenta", weight=3]; 179 -> 301[label="",style="dashed", color="magenta", weight=3]; 180 -> 58[label="",style="dashed", color="red", weight=0]; 180[label="xy3000 == xy4000",fontsize=16,color="magenta"];180 -> 302[label="",style="dashed", color="magenta", weight=3]; 180 -> 303[label="",style="dashed", color="magenta", weight=3]; 181 -> 59[label="",style="dashed", color="red", weight=0]; 181[label="xy3000 == xy4000",fontsize=16,color="magenta"];181 -> 304[label="",style="dashed", color="magenta", weight=3]; 181 -> 305[label="",style="dashed", color="magenta", weight=3]; 182 -> 60[label="",style="dashed", color="red", weight=0]; 182[label="xy3000 == xy4000",fontsize=16,color="magenta"];182 -> 306[label="",style="dashed", color="magenta", weight=3]; 182 -> 307[label="",style="dashed", color="magenta", weight=3]; 183 -> 30[label="",style="dashed", color="red", weight=0]; 183[label="xy3000 == xy4000",fontsize=16,color="magenta"];183 -> 308[label="",style="dashed", color="magenta", weight=3]; 183 -> 309[label="",style="dashed", color="magenta", weight=3]; 184 -> 62[label="",style="dashed", color="red", weight=0]; 184[label="xy3000 == xy4000",fontsize=16,color="magenta"];184 -> 310[label="",style="dashed", color="magenta", weight=3]; 184 -> 311[label="",style="dashed", color="magenta", weight=3]; 185 -> 63[label="",style="dashed", color="red", weight=0]; 185[label="xy3000 == xy4000",fontsize=16,color="magenta"];185 -> 312[label="",style="dashed", color="magenta", weight=3]; 185 -> 313[label="",style="dashed", color="magenta", weight=3]; 186 -> 64[label="",style="dashed", color="red", weight=0]; 186[label="xy3000 == xy4000",fontsize=16,color="magenta"];186 -> 314[label="",style="dashed", color="magenta", weight=3]; 186 -> 315[label="",style="dashed", color="magenta", weight=3]; 187 -> 65[label="",style="dashed", color="red", weight=0]; 187[label="xy3000 == xy4000",fontsize=16,color="magenta"];187 -> 316[label="",style="dashed", color="magenta", weight=3]; 187 -> 317[label="",style="dashed", color="magenta", weight=3]; 188 -> 66[label="",style="dashed", color="red", weight=0]; 188[label="xy3000 == xy4000",fontsize=16,color="magenta"];188 -> 318[label="",style="dashed", color="magenta", weight=3]; 188 -> 319[label="",style="dashed", color="magenta", weight=3]; 189 -> 67[label="",style="dashed", color="red", weight=0]; 189[label="xy3000 == xy4000",fontsize=16,color="magenta"];189 -> 320[label="",style="dashed", color="magenta", weight=3]; 189 -> 321[label="",style="dashed", color="magenta", weight=3]; 190 -> 68[label="",style="dashed", color="red", weight=0]; 190[label="xy3000 == xy4000",fontsize=16,color="magenta"];190 -> 322[label="",style="dashed", color="magenta", weight=3]; 190 -> 323[label="",style="dashed", color="magenta", weight=3]; 191 -> 69[label="",style="dashed", color="red", weight=0]; 191[label="xy3000 == xy4000",fontsize=16,color="magenta"];191 -> 324[label="",style="dashed", color="magenta", weight=3]; 191 -> 325[label="",style="dashed", color="magenta", weight=3]; 192 -> 70[label="",style="dashed", color="red", weight=0]; 192[label="xy3000 == xy4000",fontsize=16,color="magenta"];192 -> 326[label="",style="dashed", color="magenta", weight=3]; 192 -> 327[label="",style="dashed", color="magenta", weight=3]; 193 -> 68[label="",style="dashed", color="red", weight=0]; 193[label="xy3000 * xy4001 == xy3001 * xy4000",fontsize=16,color="magenta"];193 -> 328[label="",style="dashed", color="magenta", weight=3]; 193 -> 329[label="",style="dashed", color="magenta", weight=3]; 194[label="xy4000",fontsize=16,color="green",shape="box"];195[label="xy3000",fontsize=16,color="green",shape="box"];196[label="primEqInt (Pos (Succ xy30000)) (Pos xy4000)",fontsize=16,color="burlywood",shape="box"];807[label="xy4000/Succ xy40000",fontsize=10,color="white",style="solid",shape="box"];196 -> 807[label="",style="solid", color="burlywood", weight=9]; 807 -> 330[label="",style="solid", color="burlywood", weight=3]; 808[label="xy4000/Zero",fontsize=10,color="white",style="solid",shape="box"];196 -> 808[label="",style="solid", color="burlywood", weight=9]; 808 -> 331[label="",style="solid", color="burlywood", weight=3]; 197[label="primEqInt (Pos (Succ xy30000)) (Neg xy4000)",fontsize=16,color="black",shape="box"];197 -> 332[label="",style="solid", color="black", weight=3]; 198[label="primEqInt (Pos Zero) (Pos xy4000)",fontsize=16,color="burlywood",shape="box"];809[label="xy4000/Succ xy40000",fontsize=10,color="white",style="solid",shape="box"];198 -> 809[label="",style="solid", color="burlywood", weight=9]; 809 -> 333[label="",style="solid", color="burlywood", weight=3]; 810[label="xy4000/Zero",fontsize=10,color="white",style="solid",shape="box"];198 -> 810[label="",style="solid", color="burlywood", weight=9]; 810 -> 334[label="",style="solid", color="burlywood", weight=3]; 199[label="primEqInt (Pos Zero) (Neg xy4000)",fontsize=16,color="burlywood",shape="box"];811[label="xy4000/Succ xy40000",fontsize=10,color="white",style="solid",shape="box"];199 -> 811[label="",style="solid", color="burlywood", weight=9]; 811 -> 335[label="",style="solid", color="burlywood", weight=3]; 812[label="xy4000/Zero",fontsize=10,color="white",style="solid",shape="box"];199 -> 812[label="",style="solid", color="burlywood", weight=9]; 812 -> 336[label="",style="solid", color="burlywood", weight=3]; 200[label="primEqInt (Neg (Succ xy30000)) (Pos xy4000)",fontsize=16,color="black",shape="box"];200 -> 337[label="",style="solid", color="black", weight=3]; 201[label="primEqInt (Neg (Succ xy30000)) (Neg xy4000)",fontsize=16,color="burlywood",shape="box"];813[label="xy4000/Succ xy40000",fontsize=10,color="white",style="solid",shape="box"];201 -> 813[label="",style="solid", color="burlywood", weight=9]; 813 -> 338[label="",style="solid", color="burlywood", weight=3]; 814[label="xy4000/Zero",fontsize=10,color="white",style="solid",shape="box"];201 -> 814[label="",style="solid", color="burlywood", weight=9]; 814 -> 339[label="",style="solid", color="burlywood", weight=3]; 202[label="primEqInt (Neg Zero) (Pos xy4000)",fontsize=16,color="burlywood",shape="box"];815[label="xy4000/Succ xy40000",fontsize=10,color="white",style="solid",shape="box"];202 -> 815[label="",style="solid", color="burlywood", weight=9]; 815 -> 340[label="",style="solid", color="burlywood", weight=3]; 816[label="xy4000/Zero",fontsize=10,color="white",style="solid",shape="box"];202 -> 816[label="",style="solid", color="burlywood", weight=9]; 816 -> 341[label="",style="solid", color="burlywood", weight=3]; 203[label="primEqInt (Neg Zero) (Neg xy4000)",fontsize=16,color="burlywood",shape="box"];817[label="xy4000/Succ xy40000",fontsize=10,color="white",style="solid",shape="box"];203 -> 817[label="",style="solid", color="burlywood", weight=9]; 817 -> 342[label="",style="solid", color="burlywood", weight=3]; 818[label="xy4000/Zero",fontsize=10,color="white",style="solid",shape="box"];203 -> 818[label="",style="solid", color="burlywood", weight=9]; 818 -> 343[label="",style="solid", color="burlywood", weight=3]; 204[label="xy3002 == xy4002",fontsize=16,color="blue",shape="box"];819[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];204 -> 819[label="",style="solid", color="blue", weight=9]; 819 -> 344[label="",style="solid", color="blue", weight=3]; 820[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];204 -> 820[label="",style="solid", color="blue", weight=9]; 820 -> 345[label="",style="solid", color="blue", weight=3]; 821[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];204 -> 821[label="",style="solid", color="blue", weight=9]; 821 -> 346[label="",style="solid", color="blue", weight=3]; 822[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];204 -> 822[label="",style="solid", color="blue", weight=9]; 822 -> 347[label="",style="solid", color="blue", weight=3]; 823[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];204 -> 823[label="",style="solid", color="blue", weight=9]; 823 -> 348[label="",style="solid", color="blue", weight=3]; 824[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];204 -> 824[label="",style="solid", color="blue", weight=9]; 824 -> 349[label="",style="solid", color="blue", weight=3]; 825[label="== :: ((@2) a b) -> ((@2) a b) 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354[label="",style="solid", color="blue", weight=3]; 830[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];204 -> 830[label="",style="solid", color="blue", weight=9]; 830 -> 355[label="",style="solid", color="blue", weight=3]; 831[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];204 -> 831[label="",style="solid", color="blue", weight=9]; 831 -> 356[label="",style="solid", color="blue", weight=3]; 832[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];204 -> 832[label="",style="solid", color="blue", weight=9]; 832 -> 357[label="",style="solid", color="blue", weight=3]; 205[label="xy3001 == xy4001",fontsize=16,color="blue",shape="box"];833[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];205 -> 833[label="",style="solid", color="blue", weight=9]; 833 -> 358[label="",style="solid", color="blue", weight=3]; 834[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];205 -> 834[label="",style="solid", color="blue", weight=9]; 834 -> 359[label="",style="solid", color="blue", weight=3]; 835[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];205 -> 835[label="",style="solid", color="blue", weight=9]; 835 -> 360[label="",style="solid", color="blue", weight=3]; 836[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];205 -> 836[label="",style="solid", color="blue", weight=9]; 836 -> 361[label="",style="solid", color="blue", weight=3]; 837[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];205 -> 837[label="",style="solid", color="blue", weight=9]; 837 -> 362[label="",style="solid", color="blue", weight=3]; 838[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];205 -> 838[label="",style="solid", color="blue", weight=9]; 838 -> 363[label="",style="solid", color="blue", weight=3]; 839[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];205 -> 839[label="",style="solid", color="blue", weight=9]; 839 -> 364[label="",style="solid", color="blue", weight=3]; 840[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];205 -> 840[label="",style="solid", color="blue", weight=9]; 840 -> 365[label="",style="solid", color="blue", weight=3]; 841[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];205 -> 841[label="",style="solid", color="blue", weight=9]; 841 -> 366[label="",style="solid", color="blue", weight=3]; 842[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];205 -> 842[label="",style="solid", color="blue", weight=9]; 842 -> 367[label="",style="solid", color="blue", weight=3]; 843[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];205 -> 843[label="",style="solid", color="blue", weight=9]; 843 -> 368[label="",style="solid", color="blue", weight=3]; 844[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];205 -> 844[label="",style="solid", color="blue", weight=9]; 844 -> 369[label="",style="solid", color="blue", weight=3]; 845[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];205 -> 845[label="",style="solid", color="blue", weight=9]; 845 -> 370[label="",style="solid", color="blue", weight=3]; 846[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];205 -> 846[label="",style="solid", color="blue", weight=9]; 846 -> 371[label="",style="solid", color="blue", weight=3]; 206 -> 57[label="",style="dashed", color="red", weight=0]; 206[label="xy3000 == xy4000",fontsize=16,color="magenta"];206 -> 372[label="",style="dashed", color="magenta", 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381[label="",style="dashed", color="magenta", weight=3]; 211 -> 62[label="",style="dashed", color="red", weight=0]; 211[label="xy3000 == xy4000",fontsize=16,color="magenta"];211 -> 382[label="",style="dashed", color="magenta", weight=3]; 211 -> 383[label="",style="dashed", color="magenta", weight=3]; 212 -> 63[label="",style="dashed", color="red", weight=0]; 212[label="xy3000 == xy4000",fontsize=16,color="magenta"];212 -> 384[label="",style="dashed", color="magenta", weight=3]; 212 -> 385[label="",style="dashed", color="magenta", weight=3]; 213 -> 64[label="",style="dashed", color="red", weight=0]; 213[label="xy3000 == xy4000",fontsize=16,color="magenta"];213 -> 386[label="",style="dashed", color="magenta", weight=3]; 213 -> 387[label="",style="dashed", color="magenta", weight=3]; 214 -> 65[label="",style="dashed", color="red", weight=0]; 214[label="xy3000 == xy4000",fontsize=16,color="magenta"];214 -> 388[label="",style="dashed", color="magenta", weight=3]; 214 -> 389[label="",style="dashed", color="magenta", weight=3]; 215 -> 66[label="",style="dashed", color="red", weight=0]; 215[label="xy3000 == xy4000",fontsize=16,color="magenta"];215 -> 390[label="",style="dashed", color="magenta", weight=3]; 215 -> 391[label="",style="dashed", color="magenta", weight=3]; 216 -> 67[label="",style="dashed", color="red", weight=0]; 216[label="xy3000 == xy4000",fontsize=16,color="magenta"];216 -> 392[label="",style="dashed", color="magenta", weight=3]; 216 -> 393[label="",style="dashed", color="magenta", weight=3]; 217 -> 68[label="",style="dashed", color="red", weight=0]; 217[label="xy3000 == xy4000",fontsize=16,color="magenta"];217 -> 394[label="",style="dashed", color="magenta", weight=3]; 217 -> 395[label="",style="dashed", color="magenta", weight=3]; 218 -> 69[label="",style="dashed", color="red", weight=0]; 218[label="xy3000 == xy4000",fontsize=16,color="magenta"];218 -> 396[label="",style="dashed", color="magenta", weight=3]; 218 -> 397[label="",style="dashed", color="magenta", weight=3]; 219 -> 70[label="",style="dashed", color="red", weight=0]; 219[label="xy3000 == xy4000",fontsize=16,color="magenta"];219 -> 398[label="",style="dashed", color="magenta", weight=3]; 219 -> 399[label="",style="dashed", color="magenta", weight=3]; 220[label="xy3001 * xy4000",fontsize=16,color="black",shape="triangle"];220 -> 400[label="",style="solid", color="black", weight=3]; 221 -> 220[label="",style="dashed", color="red", weight=0]; 221[label="xy3000 * xy4001",fontsize=16,color="magenta"];221 -> 401[label="",style="dashed", color="magenta", weight=3]; 221 -> 402[label="",style="dashed", color="magenta", weight=3]; 222[label="xy4001",fontsize=16,color="green",shape="box"];223[label="xy3001",fontsize=16,color="green",shape="box"];224 -> 57[label="",style="dashed", color="red", weight=0]; 224[label="xy3000 == xy4000",fontsize=16,color="magenta"];224 -> 403[label="",style="dashed", color="magenta", weight=3]; 224 -> 404[label="",style="dashed", color="magenta", weight=3]; 225 -> 58[label="",style="dashed", color="red", weight=0]; 225[label="xy3000 == xy4000",fontsize=16,color="magenta"];225 -> 405[label="",style="dashed", color="magenta", weight=3]; 225 -> 406[label="",style="dashed", color="magenta", weight=3]; 226 -> 59[label="",style="dashed", color="red", weight=0]; 226[label="xy3000 == xy4000",fontsize=16,color="magenta"];226 -> 407[label="",style="dashed", color="magenta", weight=3]; 226 -> 408[label="",style="dashed", color="magenta", weight=3]; 227 -> 60[label="",style="dashed", color="red", weight=0]; 227[label="xy3000 == xy4000",fontsize=16,color="magenta"];227 -> 409[label="",style="dashed", color="magenta", weight=3]; 227 -> 410[label="",style="dashed", color="magenta", weight=3]; 228 -> 30[label="",style="dashed", color="red", weight=0]; 228[label="xy3000 == xy4000",fontsize=16,color="magenta"];228 -> 411[label="",style="dashed", color="magenta", weight=3]; 228 -> 412[label="",style="dashed", color="magenta", weight=3]; 229 -> 62[label="",style="dashed", color="red", weight=0]; 229[label="xy3000 == xy4000",fontsize=16,color="magenta"];229 -> 413[label="",style="dashed", color="magenta", weight=3]; 229 -> 414[label="",style="dashed", color="magenta", weight=3]; 230 -> 63[label="",style="dashed", color="red", weight=0]; 230[label="xy3000 == xy4000",fontsize=16,color="magenta"];230 -> 415[label="",style="dashed", color="magenta", weight=3]; 230 -> 416[label="",style="dashed", color="magenta", weight=3]; 231 -> 64[label="",style="dashed", color="red", weight=0]; 231[label="xy3000 == xy4000",fontsize=16,color="magenta"];231 -> 417[label="",style="dashed", color="magenta", weight=3]; 231 -> 418[label="",style="dashed", color="magenta", weight=3]; 232 -> 65[label="",style="dashed", color="red", weight=0]; 232[label="xy3000 == xy4000",fontsize=16,color="magenta"];232 -> 419[label="",style="dashed", color="magenta", weight=3]; 232 -> 420[label="",style="dashed", color="magenta", weight=3]; 233 -> 66[label="",style="dashed", color="red", weight=0]; 233[label="xy3000 == xy4000",fontsize=16,color="magenta"];233 -> 421[label="",style="dashed", color="magenta", weight=3]; 233 -> 422[label="",style="dashed", color="magenta", weight=3]; 234 -> 67[label="",style="dashed", color="red", weight=0]; 234[label="xy3000 == xy4000",fontsize=16,color="magenta"];234 -> 423[label="",style="dashed", color="magenta", weight=3]; 234 -> 424[label="",style="dashed", color="magenta", weight=3]; 235 -> 68[label="",style="dashed", color="red", weight=0]; 235[label="xy3000 == xy4000",fontsize=16,color="magenta"];235 -> 425[label="",style="dashed", color="magenta", weight=3]; 235 -> 426[label="",style="dashed", color="magenta", weight=3]; 236 -> 69[label="",style="dashed", color="red", weight=0]; 236[label="xy3000 == xy4000",fontsize=16,color="magenta"];236 -> 427[label="",style="dashed", color="magenta", weight=3]; 236 -> 428[label="",style="dashed", color="magenta", weight=3]; 237 -> 70[label="",style="dashed", color="red", weight=0]; 237[label="xy3000 == xy4000",fontsize=16,color="magenta"];237 -> 429[label="",style="dashed", color="magenta", weight=3]; 237 -> 430[label="",style="dashed", color="magenta", weight=3]; 238[label="primEqNat (Succ xy30000) xy4000",fontsize=16,color="burlywood",shape="box"];847[label="xy4000/Succ xy40000",fontsize=10,color="white",style="solid",shape="box"];238 -> 847[label="",style="solid", color="burlywood", weight=9]; 847 -> 431[label="",style="solid", color="burlywood", weight=3]; 848[label="xy4000/Zero",fontsize=10,color="white",style="solid",shape="box"];238 -> 848[label="",style="solid", color="burlywood", weight=9]; 848 -> 432[label="",style="solid", color="burlywood", weight=3]; 239[label="primEqNat Zero xy4000",fontsize=16,color="burlywood",shape="box"];849[label="xy4000/Succ xy40000",fontsize=10,color="white",style="solid",shape="box"];239 -> 849[label="",style="solid", color="burlywood", weight=9]; 849 -> 433[label="",style="solid", color="burlywood", weight=3]; 850[label="xy4000/Zero",fontsize=10,color="white",style="solid",shape="box"];239 -> 850[label="",style="solid", color="burlywood", weight=9]; 850 -> 434[label="",style="solid", color="burlywood", weight=3]; 240 -> 67[label="",style="dashed", color="red", weight=0]; 240[label="xy3001 == xy4001",fontsize=16,color="magenta"];240 -> 435[label="",style="dashed", color="magenta", weight=3]; 240 -> 436[label="",style="dashed", color="magenta", weight=3]; 241 -> 68[label="",style="dashed", color="red", weight=0]; 241[label="xy3001 == xy4001",fontsize=16,color="magenta"];241 -> 437[label="",style="dashed", color="magenta", weight=3]; 241 -> 438[label="",style="dashed", color="magenta", weight=3]; 242 -> 67[label="",style="dashed", color="red", weight=0]; 242[label="xy3000 == xy4000",fontsize=16,color="magenta"];242 -> 439[label="",style="dashed", color="magenta", weight=3]; 242 -> 440[label="",style="dashed", color="magenta", weight=3]; 243 -> 68[label="",style="dashed", color="red", weight=0]; 243[label="xy3000 == xy4000",fontsize=16,color="magenta"];243 -> 441[label="",style="dashed", color="magenta", weight=3]; 243 -> 442[label="",style="dashed", color="magenta", weight=3]; 244 -> 57[label="",style="dashed", color="red", weight=0]; 244[label="xy3001 == xy4001",fontsize=16,color="magenta"];244 -> 443[label="",style="dashed", color="magenta", weight=3]; 244 -> 444[label="",style="dashed", color="magenta", weight=3]; 245 -> 58[label="",style="dashed", color="red", weight=0]; 245[label="xy3001 == xy4001",fontsize=16,color="magenta"];245 -> 445[label="",style="dashed", color="magenta", weight=3]; 245 -> 446[label="",style="dashed", color="magenta", weight=3]; 246 -> 59[label="",style="dashed", color="red", weight=0]; 246[label="xy3001 == xy4001",fontsize=16,color="magenta"];246 -> 447[label="",style="dashed", color="magenta", weight=3]; 246 -> 448[label="",style="dashed", color="magenta", weight=3]; 247 -> 60[label="",style="dashed", color="red", weight=0]; 247[label="xy3001 == xy4001",fontsize=16,color="magenta"];247 -> 449[label="",style="dashed", color="magenta", weight=3]; 247 -> 450[label="",style="dashed", color="magenta", weight=3]; 248 -> 30[label="",style="dashed", color="red", weight=0]; 248[label="xy3001 == xy4001",fontsize=16,color="magenta"];248 -> 451[label="",style="dashed", color="magenta", weight=3]; 248 -> 452[label="",style="dashed", color="magenta", weight=3]; 249 -> 62[label="",style="dashed", color="red", weight=0]; 249[label="xy3001 == xy4001",fontsize=16,color="magenta"];249 -> 453[label="",style="dashed", color="magenta", weight=3]; 249 -> 454[label="",style="dashed", color="magenta", weight=3]; 250 -> 63[label="",style="dashed", color="red", weight=0]; 250[label="xy3001 == xy4001",fontsize=16,color="magenta"];250 -> 455[label="",style="dashed", color="magenta", weight=3]; 250 -> 456[label="",style="dashed", color="magenta", weight=3]; 251 -> 64[label="",style="dashed", color="red", weight=0]; 251[label="xy3001 == xy4001",fontsize=16,color="magenta"];251 -> 457[label="",style="dashed", color="magenta", weight=3]; 251 -> 458[label="",style="dashed", color="magenta", weight=3]; 252 -> 65[label="",style="dashed", color="red", weight=0]; 252[label="xy3001 == xy4001",fontsize=16,color="magenta"];252 -> 459[label="",style="dashed", color="magenta", weight=3]; 252 -> 460[label="",style="dashed", color="magenta", weight=3]; 253 -> 66[label="",style="dashed", color="red", weight=0]; 253[label="xy3001 == xy4001",fontsize=16,color="magenta"];253 -> 461[label="",style="dashed", color="magenta", weight=3]; 253 -> 462[label="",style="dashed", color="magenta", weight=3]; 254 -> 67[label="",style="dashed", color="red", weight=0]; 254[label="xy3001 == xy4001",fontsize=16,color="magenta"];254 -> 463[label="",style="dashed", color="magenta", weight=3]; 254 -> 464[label="",style="dashed", color="magenta", weight=3]; 255 -> 68[label="",style="dashed", color="red", weight=0]; 255[label="xy3001 == xy4001",fontsize=16,color="magenta"];255 -> 465[label="",style="dashed", color="magenta", weight=3]; 255 -> 466[label="",style="dashed", color="magenta", weight=3]; 256 -> 69[label="",style="dashed", color="red", weight=0]; 256[label="xy3001 == xy4001",fontsize=16,color="magenta"];256 -> 467[label="",style="dashed", color="magenta", weight=3]; 256 -> 468[label="",style="dashed", color="magenta", weight=3]; 257 -> 70[label="",style="dashed", color="red", weight=0]; 257[label="xy3001 == xy4001",fontsize=16,color="magenta"];257 -> 469[label="",style="dashed", color="magenta", weight=3]; 257 -> 470[label="",style="dashed", color="magenta", weight=3]; 258 -> 57[label="",style="dashed", color="red", weight=0]; 258[label="xy3000 == xy4000",fontsize=16,color="magenta"];258 -> 471[label="",style="dashed", color="magenta", weight=3]; 258 -> 472[label="",style="dashed", color="magenta", weight=3]; 259 -> 58[label="",style="dashed", color="red", weight=0]; 259[label="xy3000 == xy4000",fontsize=16,color="magenta"];259 -> 473[label="",style="dashed", color="magenta", weight=3]; 259 -> 474[label="",style="dashed", color="magenta", weight=3]; 260 -> 59[label="",style="dashed", color="red", weight=0]; 260[label="xy3000 == xy4000",fontsize=16,color="magenta"];260 -> 475[label="",style="dashed", color="magenta", weight=3]; 260 -> 476[label="",style="dashed", color="magenta", weight=3]; 261 -> 60[label="",style="dashed", color="red", weight=0]; 261[label="xy3000 == xy4000",fontsize=16,color="magenta"];261 -> 477[label="",style="dashed", color="magenta", weight=3]; 261 -> 478[label="",style="dashed", color="magenta", weight=3]; 262 -> 30[label="",style="dashed", color="red", weight=0]; 262[label="xy3000 == xy4000",fontsize=16,color="magenta"];262 -> 479[label="",style="dashed", color="magenta", weight=3]; 262 -> 480[label="",style="dashed", color="magenta", weight=3]; 263 -> 62[label="",style="dashed", color="red", weight=0]; 263[label="xy3000 == xy4000",fontsize=16,color="magenta"];263 -> 481[label="",style="dashed", color="magenta", weight=3]; 263 -> 482[label="",style="dashed", color="magenta", weight=3]; 264 -> 63[label="",style="dashed", color="red", weight=0]; 264[label="xy3000 == xy4000",fontsize=16,color="magenta"];264 -> 483[label="",style="dashed", color="magenta", weight=3]; 264 -> 484[label="",style="dashed", color="magenta", weight=3]; 265 -> 64[label="",style="dashed", color="red", weight=0]; 265[label="xy3000 == xy4000",fontsize=16,color="magenta"];265 -> 485[label="",style="dashed", color="magenta", weight=3]; 265 -> 486[label="",style="dashed", color="magenta", weight=3]; 266 -> 65[label="",style="dashed", color="red", weight=0]; 266[label="xy3000 == xy4000",fontsize=16,color="magenta"];266 -> 487[label="",style="dashed", color="magenta", weight=3]; 266 -> 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272[label="xy4000",fontsize=16,color="green",shape="box"];273[label="xy3000",fontsize=16,color="green",shape="box"];274[label="xy4000",fontsize=16,color="green",shape="box"];275[label="xy3000",fontsize=16,color="green",shape="box"];276[label="xy4000",fontsize=16,color="green",shape="box"];277[label="xy3000",fontsize=16,color="green",shape="box"];278[label="xy4000",fontsize=16,color="green",shape="box"];279[label="xy3000",fontsize=16,color="green",shape="box"];280[label="xy4000",fontsize=16,color="green",shape="box"];281[label="xy3000",fontsize=16,color="green",shape="box"];282[label="xy4000",fontsize=16,color="green",shape="box"];283[label="xy3000",fontsize=16,color="green",shape="box"];284[label="xy4000",fontsize=16,color="green",shape="box"];285[label="xy3000",fontsize=16,color="green",shape="box"];286[label="xy4000",fontsize=16,color="green",shape="box"];287[label="xy3000",fontsize=16,color="green",shape="box"];288[label="xy4000",fontsize=16,color="green",shape="box"];289[label="xy3000",fontsize=16,color="green",shape="box"];290[label="xy4000",fontsize=16,color="green",shape="box"];291[label="xy3000",fontsize=16,color="green",shape="box"];292[label="xy4000",fontsize=16,color="green",shape="box"];293[label="xy3000",fontsize=16,color="green",shape="box"];294[label="xy4000",fontsize=16,color="green",shape="box"];295[label="xy3000",fontsize=16,color="green",shape="box"];296[label="xy4000",fontsize=16,color="green",shape="box"];297[label="xy3000",fontsize=16,color="green",shape="box"];298[label="xy4000",fontsize=16,color="green",shape="box"];299[label="xy3000",fontsize=16,color="green",shape="box"];300[label="xy4000",fontsize=16,color="green",shape="box"];301[label="xy3000",fontsize=16,color="green",shape="box"];302[label="xy4000",fontsize=16,color="green",shape="box"];303[label="xy3000",fontsize=16,color="green",shape="box"];304[label="xy4000",fontsize=16,color="green",shape="box"];305[label="xy3000",fontsize=16,color="green",shape="box"];306[label="xy4000",fontsize=16,color="green",shape="box"];307[label="xy3000",fontsize=16,color="green",shape="box"];308[label="xy4000",fontsize=16,color="green",shape="box"];309[label="xy3000",fontsize=16,color="green",shape="box"];310[label="xy4000",fontsize=16,color="green",shape="box"];311[label="xy3000",fontsize=16,color="green",shape="box"];312[label="xy4000",fontsize=16,color="green",shape="box"];313[label="xy3000",fontsize=16,color="green",shape="box"];314[label="xy4000",fontsize=16,color="green",shape="box"];315[label="xy3000",fontsize=16,color="green",shape="box"];316[label="xy4000",fontsize=16,color="green",shape="box"];317[label="xy3000",fontsize=16,color="green",shape="box"];318[label="xy4000",fontsize=16,color="green",shape="box"];319[label="xy3000",fontsize=16,color="green",shape="box"];320[label="xy4000",fontsize=16,color="green",shape="box"];321[label="xy3000",fontsize=16,color="green",shape="box"];322[label="xy4000",fontsize=16,color="green",shape="box"];323[label="xy3000",fontsize=16,color="green",shape="box"];324[label="xy4000",fontsize=16,color="green",shape="box"];325[label="xy3000",fontsize=16,color="green",shape="box"];326[label="xy4000",fontsize=16,color="green",shape="box"];327[label="xy3000",fontsize=16,color="green",shape="box"];328 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color="black", weight=3]; 334[label="primEqInt (Pos Zero) (Pos Zero)",fontsize=16,color="black",shape="box"];334 -> 506[label="",style="solid", color="black", weight=3]; 335[label="primEqInt (Pos Zero) (Neg (Succ xy40000))",fontsize=16,color="black",shape="box"];335 -> 507[label="",style="solid", color="black", weight=3]; 336[label="primEqInt (Pos Zero) (Neg Zero)",fontsize=16,color="black",shape="box"];336 -> 508[label="",style="solid", color="black", weight=3]; 337[label="False",fontsize=16,color="green",shape="box"];338[label="primEqInt (Neg (Succ xy30000)) (Neg (Succ xy40000))",fontsize=16,color="black",shape="box"];338 -> 509[label="",style="solid", color="black", weight=3]; 339[label="primEqInt (Neg (Succ xy30000)) (Neg Zero)",fontsize=16,color="black",shape="box"];339 -> 510[label="",style="solid", color="black", weight=3]; 340[label="primEqInt (Neg Zero) (Pos (Succ xy40000))",fontsize=16,color="black",shape="box"];340 -> 511[label="",style="solid", color="black", weight=3]; 341[label="primEqInt (Neg Zero) (Pos Zero)",fontsize=16,color="black",shape="box"];341 -> 512[label="",style="solid", color="black", weight=3]; 342[label="primEqInt (Neg Zero) (Neg (Succ xy40000))",fontsize=16,color="black",shape="box"];342 -> 513[label="",style="solid", color="black", weight=3]; 343[label="primEqInt (Neg Zero) (Neg Zero)",fontsize=16,color="black",shape="box"];343 -> 514[label="",style="solid", color="black", weight=3]; 344 -> 57[label="",style="dashed", color="red", weight=0]; 344[label="xy3002 == xy4002",fontsize=16,color="magenta"];344 -> 515[label="",style="dashed", color="magenta", weight=3]; 344 -> 516[label="",style="dashed", color="magenta", weight=3]; 345 -> 58[label="",style="dashed", color="red", weight=0]; 345[label="xy3002 == xy4002",fontsize=16,color="magenta"];345 -> 517[label="",style="dashed", color="magenta", weight=3]; 345 -> 518[label="",style="dashed", color="magenta", weight=3]; 346 -> 59[label="",style="dashed", color="red", weight=0]; 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372[label="xy4000",fontsize=16,color="green",shape="box"];373[label="xy3000",fontsize=16,color="green",shape="box"];374[label="xy4000",fontsize=16,color="green",shape="box"];375[label="xy3000",fontsize=16,color="green",shape="box"];376[label="xy4000",fontsize=16,color="green",shape="box"];377[label="xy3000",fontsize=16,color="green",shape="box"];378[label="xy4000",fontsize=16,color="green",shape="box"];379[label="xy3000",fontsize=16,color="green",shape="box"];380[label="xy4000",fontsize=16,color="green",shape="box"];381[label="xy3000",fontsize=16,color="green",shape="box"];382[label="xy4000",fontsize=16,color="green",shape="box"];383[label="xy3000",fontsize=16,color="green",shape="box"];384[label="xy4000",fontsize=16,color="green",shape="box"];385[label="xy3000",fontsize=16,color="green",shape="box"];386[label="xy4000",fontsize=16,color="green",shape="box"];387[label="xy3000",fontsize=16,color="green",shape="box"];388[label="xy4000",fontsize=16,color="green",shape="box"];389[label="xy3000",fontsize=16,color="green",shape="box"];390[label="xy4000",fontsize=16,color="green",shape="box"];391[label="xy3000",fontsize=16,color="green",shape="box"];392[label="xy4000",fontsize=16,color="green",shape="box"];393[label="xy3000",fontsize=16,color="green",shape="box"];394[label="xy4000",fontsize=16,color="green",shape="box"];395[label="xy3000",fontsize=16,color="green",shape="box"];396[label="xy4000",fontsize=16,color="green",shape="box"];397[label="xy3000",fontsize=16,color="green",shape="box"];398[label="xy4000",fontsize=16,color="green",shape="box"];399[label="xy3000",fontsize=16,color="green",shape="box"];400[label="primMulInt 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401[label="xy3000",fontsize=16,color="green",shape="box"];402[label="xy4001",fontsize=16,color="green",shape="box"];403[label="xy4000",fontsize=16,color="green",shape="box"];404[label="xy3000",fontsize=16,color="green",shape="box"];405[label="xy4000",fontsize=16,color="green",shape="box"];406[label="xy3000",fontsize=16,color="green",shape="box"];407[label="xy4000",fontsize=16,color="green",shape="box"];408[label="xy3000",fontsize=16,color="green",shape="box"];409[label="xy4000",fontsize=16,color="green",shape="box"];410[label="xy3000",fontsize=16,color="green",shape="box"];411[label="xy4000",fontsize=16,color="green",shape="box"];412[label="xy3000",fontsize=16,color="green",shape="box"];413[label="xy4000",fontsize=16,color="green",shape="box"];414[label="xy3000",fontsize=16,color="green",shape="box"];415[label="xy4000",fontsize=16,color="green",shape="box"];416[label="xy3000",fontsize=16,color="green",shape="box"];417[label="xy4000",fontsize=16,color="green",shape="box"];418[label="xy3000",fontsize=16,color="green",shape="box"];419[label="xy4000",fontsize=16,color="green",shape="box"];420[label="xy3000",fontsize=16,color="green",shape="box"];421[label="xy4000",fontsize=16,color="green",shape="box"];422[label="xy3000",fontsize=16,color="green",shape="box"];423[label="xy4000",fontsize=16,color="green",shape="box"];424[label="xy3000",fontsize=16,color="green",shape="box"];425[label="xy4000",fontsize=16,color="green",shape="box"];426[label="xy3000",fontsize=16,color="green",shape="box"];427[label="xy4000",fontsize=16,color="green",shape="box"];428[label="xy3000",fontsize=16,color="green",shape="box"];429[label="xy4000",fontsize=16,color="green",shape="box"];430[label="xy3000",fontsize=16,color="green",shape="box"];431[label="primEqNat (Succ xy30000) (Succ xy40000)",fontsize=16,color="black",shape="box"];431 -> 573[label="",style="solid", color="black", weight=3]; 432[label="primEqNat (Succ xy30000) Zero",fontsize=16,color="black",shape="box"];432 -> 574[label="",style="solid", color="black", weight=3]; 433[label="primEqNat Zero (Succ xy40000)",fontsize=16,color="black",shape="box"];433 -> 575[label="",style="solid", color="black", weight=3]; 434[label="primEqNat Zero Zero",fontsize=16,color="black",shape="box"];434 -> 576[label="",style="solid", color="black", weight=3]; 435[label="xy4001",fontsize=16,color="green",shape="box"];436[label="xy3001",fontsize=16,color="green",shape="box"];437[label="xy4001",fontsize=16,color="green",shape="box"];438[label="xy3001",fontsize=16,color="green",shape="box"];439[label="xy4000",fontsize=16,color="green",shape="box"];440[label="xy3000",fontsize=16,color="green",shape="box"];441[label="xy4000",fontsize=16,color="green",shape="box"];442[label="xy3000",fontsize=16,color="green",shape="box"];443[label="xy4001",fontsize=16,color="green",shape="box"];444[label="xy3001",fontsize=16,color="green",shape="box"];445[label="xy4001",fontsize=16,color="green",shape="box"];446[label="xy3001",fontsize=16,color="green",shape="box"];447[label="xy4001",fontsize=16,color="green",shape="box"];448[label="xy3001",fontsize=16,color="green",shape="box"];449[label="xy4001",fontsize=16,color="green",shape="box"];450[label="xy3001",fontsize=16,color="green",shape="box"];451[label="xy4001",fontsize=16,color="green",shape="box"];452[label="xy3001",fontsize=16,color="green",shape="box"];453[label="xy4001",fontsize=16,color="green",shape="box"];454[label="xy3001",fontsize=16,color="green",shape="box"];455[label="xy4001",fontsize=16,color="green",shape="box"];456[label="xy3001",fontsize=16,color="green",shape="box"];457[label="xy4001",fontsize=16,color="green",shape="box"];458[label="xy3001",fontsize=16,color="green",shape="box"];459[label="xy4001",fontsize=16,color="green",shape="box"];460[label="xy3001",fontsize=16,color="green",shape="box"];461[label="xy4001",fontsize=16,color="green",shape="box"];462[label="xy3001",fontsize=16,color="green",shape="box"];463[label="xy4001",fontsize=16,color="green",shape="box"];464[label="xy3001",fontsize=16,color="green",shape="box"];465[label="xy4001",fontsize=16,color="green",shape="box"];466[label="xy3001",fontsize=16,color="green",shape="box"];467[label="xy4001",fontsize=16,color="green",shape="box"];468[label="xy3001",fontsize=16,color="green",shape="box"];469[label="xy4001",fontsize=16,color="green",shape="box"];470[label="xy3001",fontsize=16,color="green",shape="box"];471[label="xy4000",fontsize=16,color="green",shape="box"];472[label="xy3000",fontsize=16,color="green",shape="box"];473[label="xy4000",fontsize=16,color="green",shape="box"];474[label="xy3000",fontsize=16,color="green",shape="box"];475[label="xy4000",fontsize=16,color="green",shape="box"];476[label="xy3000",fontsize=16,color="green",shape="box"];477[label="xy4000",fontsize=16,color="green",shape="box"];478[label="xy3000",fontsize=16,color="green",shape="box"];479[label="xy4000",fontsize=16,color="green",shape="box"];480[label="xy3000",fontsize=16,color="green",shape="box"];481[label="xy4000",fontsize=16,color="green",shape="box"];482[label="xy3000",fontsize=16,color="green",shape="box"];483[label="xy4000",fontsize=16,color="green",shape="box"];484[label="xy3000",fontsize=16,color="green",shape="box"];485[label="xy4000",fontsize=16,color="green",shape="box"];486[label="xy3000",fontsize=16,color="green",shape="box"];487[label="xy4000",fontsize=16,color="green",shape="box"];488[label="xy3000",fontsize=16,color="green",shape="box"];489[label="xy4000",fontsize=16,color="green",shape="box"];490[label="xy3000",fontsize=16,color="green",shape="box"];491[label="xy4000",fontsize=16,color="green",shape="box"];492[label="xy3000",fontsize=16,color="green",shape="box"];493[label="xy4000",fontsize=16,color="green",shape="box"];494[label="xy3000",fontsize=16,color="green",shape="box"];495[label="xy4000",fontsize=16,color="green",shape="box"];496[label="xy3000",fontsize=16,color="green",shape="box"];497[label="xy4000",fontsize=16,color="green",shape="box"];498[label="xy3000",fontsize=16,color="green",shape="box"];499[label="xy3001",fontsize=16,color="green",shape="box"];500[label="xy4000",fontsize=16,color="green",shape="box"];501[label="xy3000",fontsize=16,color="green",shape="box"];502[label="xy4001",fontsize=16,color="green",shape="box"];503 -> 160[label="",style="dashed", color="red", weight=0]; 503[label="primEqNat xy30000 xy40000",fontsize=16,color="magenta"];503 -> 577[label="",style="dashed", color="magenta", weight=3]; 503 -> 578[label="",style="dashed", color="magenta", weight=3]; 504[label="False",fontsize=16,color="green",shape="box"];505[label="False",fontsize=16,color="green",shape="box"];506[label="True",fontsize=16,color="green",shape="box"];507[label="False",fontsize=16,color="green",shape="box"];508[label="True",fontsize=16,color="green",shape="box"];509 -> 160[label="",style="dashed", color="red", weight=0]; 509[label="primEqNat xy30000 xy40000",fontsize=16,color="magenta"];509 -> 579[label="",style="dashed", color="magenta", weight=3]; 509 -> 580[label="",style="dashed", color="magenta", weight=3]; 510[label="False",fontsize=16,color="green",shape="box"];511[label="False",fontsize=16,color="green",shape="box"];512[label="True",fontsize=16,color="green",shape="box"];513[label="False",fontsize=16,color="green",shape="box"];514[label="True",fontsize=16,color="green",shape="box"];515[label="xy4002",fontsize=16,color="green",shape="box"];516[label="xy3002",fontsize=16,color="green",shape="box"];517[label="xy4002",fontsize=16,color="green",shape="box"];518[label="xy3002",fontsize=16,color="green",shape="box"];519[label="xy4002",fontsize=16,color="green",shape="box"];520[label="xy3002",fontsize=16,color="green",shape="box"];521[label="xy4002",fontsize=16,color="green",shape="box"];522[label="xy3002",fontsize=16,color="green",shape="box"];523[label="xy4002",fontsize=16,color="green",shape="box"];524[label="xy3002",fontsize=16,color="green",shape="box"];525[label="xy4002",fontsize=16,color="green",shape="box"];526[label="xy3002",fontsize=16,color="green",shape="box"];527[label="xy4002",fontsize=16,color="green",shape="box"];528[label="xy3002",fontsize=16,color="green",shape="box"];529[label="xy4002",fontsize=16,color="green",shape="box"];530[label="xy3002",fontsize=16,color="green",shape="box"];531[label="xy4002",fontsize=16,color="green",shape="box"];532[label="xy3002",fontsize=16,color="green",shape="box"];533[label="xy4002",fontsize=16,color="green",shape="box"];534[label="xy3002",fontsize=16,color="green",shape="box"];535[label="xy4002",fontsize=16,color="green",shape="box"];536[label="xy3002",fontsize=16,color="green",shape="box"];537[label="xy4002",fontsize=16,color="green",shape="box"];538[label="xy3002",fontsize=16,color="green",shape="box"];539[label="xy4002",fontsize=16,color="green",shape="box"];540[label="xy3002",fontsize=16,color="green",shape="box"];541[label="xy4002",fontsize=16,color="green",shape="box"];542[label="xy3002",fontsize=16,color="green",shape="box"];543[label="xy4001",fontsize=16,color="green",shape="box"];544[label="xy3001",fontsize=16,color="green",shape="box"];545[label="xy4001",fontsize=16,color="green",shape="box"];546[label="xy3001",fontsize=16,color="green",shape="box"];547[label="xy4001",fontsize=16,color="green",shape="box"];548[label="xy3001",fontsize=16,color="green",shape="box"];549[label="xy4001",fontsize=16,color="green",shape="box"];550[label="xy3001",fontsize=16,color="green",shape="box"];551[label="xy4001",fontsize=16,color="green",shape="box"];552[label="xy3001",fontsize=16,color="green",shape="box"];553[label="xy4001",fontsize=16,color="green",shape="box"];554[label="xy3001",fontsize=16,color="green",shape="box"];555[label="xy4001",fontsize=16,color="green",shape="box"];556[label="xy3001",fontsize=16,color="green",shape="box"];557[label="xy4001",fontsize=16,color="green",shape="box"];558[label="xy3001",fontsize=16,color="green",shape="box"];559[label="xy4001",fontsize=16,color="green",shape="box"];560[label="xy3001",fontsize=16,color="green",shape="box"];561[label="xy4001",fontsize=16,color="green",shape="box"];562[label="xy3001",fontsize=16,color="green",shape="box"];563[label="xy4001",fontsize=16,color="green",shape="box"];564[label="xy3001",fontsize=16,color="green",shape="box"];565[label="xy4001",fontsize=16,color="green",shape="box"];566[label="xy3001",fontsize=16,color="green",shape="box"];567[label="xy4001",fontsize=16,color="green",shape="box"];568[label="xy3001",fontsize=16,color="green",shape="box"];569[label="xy4001",fontsize=16,color="green",shape="box"];570[label="xy3001",fontsize=16,color="green",shape="box"];571[label="primMulInt (Pos xy30010) xy4000",fontsize=16,color="burlywood",shape="box"];853[label="xy4000/Pos xy40000",fontsize=10,color="white",style="solid",shape="box"];571 -> 853[label="",style="solid", color="burlywood", weight=9]; 853 -> 581[label="",style="solid", color="burlywood", weight=3]; 854[label="xy4000/Neg xy40000",fontsize=10,color="white",style="solid",shape="box"];571 -> 854[label="",style="solid", color="burlywood", weight=9]; 854 -> 582[label="",style="solid", color="burlywood", weight=3]; 572[label="primMulInt (Neg xy30010) xy4000",fontsize=16,color="burlywood",shape="box"];855[label="xy4000/Pos xy40000",fontsize=10,color="white",style="solid",shape="box"];572 -> 855[label="",style="solid", color="burlywood", weight=9]; 855 -> 583[label="",style="solid", color="burlywood", weight=3]; 856[label="xy4000/Neg xy40000",fontsize=10,color="white",style="solid",shape="box"];572 -> 856[label="",style="solid", color="burlywood", weight=9]; 856 -> 584[label="",style="solid", color="burlywood", weight=3]; 573 -> 160[label="",style="dashed", color="red", weight=0]; 573[label="primEqNat xy30000 xy40000",fontsize=16,color="magenta"];573 -> 585[label="",style="dashed", color="magenta", weight=3]; 573 -> 586[label="",style="dashed", color="magenta", weight=3]; 574[label="False",fontsize=16,color="green",shape="box"];575[label="False",fontsize=16,color="green",shape="box"];576[label="True",fontsize=16,color="green",shape="box"];577[label="xy30000",fontsize=16,color="green",shape="box"];578[label="xy40000",fontsize=16,color="green",shape="box"];579[label="xy30000",fontsize=16,color="green",shape="box"];580[label="xy40000",fontsize=16,color="green",shape="box"];581[label="primMulInt (Pos xy30010) (Pos xy40000)",fontsize=16,color="black",shape="box"];581 -> 587[label="",style="solid", color="black", weight=3]; 582[label="primMulInt (Pos xy30010) (Neg xy40000)",fontsize=16,color="black",shape="box"];582 -> 588[label="",style="solid", color="black", weight=3]; 583[label="primMulInt (Neg xy30010) (Pos xy40000)",fontsize=16,color="black",shape="box"];583 -> 589[label="",style="solid", color="black", weight=3]; 584[label="primMulInt (Neg xy30010) (Neg xy40000)",fontsize=16,color="black",shape="box"];584 -> 590[label="",style="solid", color="black", weight=3]; 585[label="xy30000",fontsize=16,color="green",shape="box"];586[label="xy40000",fontsize=16,color="green",shape="box"];587[label="Pos (primMulNat xy30010 xy40000)",fontsize=16,color="green",shape="box"];587 -> 591[label="",style="dashed", color="green", weight=3]; 588[label="Neg (primMulNat xy30010 xy40000)",fontsize=16,color="green",shape="box"];588 -> 592[label="",style="dashed", color="green", weight=3]; 589[label="Neg (primMulNat xy30010 xy40000)",fontsize=16,color="green",shape="box"];589 -> 593[label="",style="dashed", color="green", weight=3]; 590[label="Pos (primMulNat xy30010 xy40000)",fontsize=16,color="green",shape="box"];590 -> 594[label="",style="dashed", color="green", weight=3]; 591[label="primMulNat xy30010 xy40000",fontsize=16,color="burlywood",shape="triangle"];857[label="xy30010/Succ xy300100",fontsize=10,color="white",style="solid",shape="box"];591 -> 857[label="",style="solid", color="burlywood", weight=9]; 857 -> 595[label="",style="solid", color="burlywood", weight=3]; 858[label="xy30010/Zero",fontsize=10,color="white",style="solid",shape="box"];591 -> 858[label="",style="solid", color="burlywood", weight=9]; 858 -> 596[label="",style="solid", color="burlywood", weight=3]; 592 -> 591[label="",style="dashed", color="red", weight=0]; 592[label="primMulNat xy30010 xy40000",fontsize=16,color="magenta"];592 -> 597[label="",style="dashed", color="magenta", weight=3]; 593 -> 591[label="",style="dashed", color="red", weight=0]; 593[label="primMulNat xy30010 xy40000",fontsize=16,color="magenta"];593 -> 598[label="",style="dashed", color="magenta", weight=3]; 594 -> 591[label="",style="dashed", color="red", weight=0]; 594[label="primMulNat xy30010 xy40000",fontsize=16,color="magenta"];594 -> 599[label="",style="dashed", color="magenta", weight=3]; 594 -> 600[label="",style="dashed", color="magenta", weight=3]; 595[label="primMulNat (Succ xy300100) xy40000",fontsize=16,color="burlywood",shape="box"];859[label="xy40000/Succ xy400000",fontsize=10,color="white",style="solid",shape="box"];595 -> 859[label="",style="solid", color="burlywood", weight=9]; 859 -> 601[label="",style="solid", color="burlywood", weight=3]; 860[label="xy40000/Zero",fontsize=10,color="white",style="solid",shape="box"];595 -> 860[label="",style="solid", color="burlywood", weight=9]; 860 -> 602[label="",style="solid", color="burlywood", weight=3]; 596[label="primMulNat Zero xy40000",fontsize=16,color="burlywood",shape="box"];861[label="xy40000/Succ xy400000",fontsize=10,color="white",style="solid",shape="box"];596 -> 861[label="",style="solid", color="burlywood", weight=9]; 861 -> 603[label="",style="solid", color="burlywood", weight=3]; 862[label="xy40000/Zero",fontsize=10,color="white",style="solid",shape="box"];596 -> 862[label="",style="solid", color="burlywood", weight=9]; 862 -> 604[label="",style="solid", color="burlywood", weight=3]; 597[label="xy40000",fontsize=16,color="green",shape="box"];598[label="xy30010",fontsize=16,color="green",shape="box"];599[label="xy30010",fontsize=16,color="green",shape="box"];600[label="xy40000",fontsize=16,color="green",shape="box"];601[label="primMulNat (Succ xy300100) (Succ xy400000)",fontsize=16,color="black",shape="box"];601 -> 605[label="",style="solid", color="black", weight=3]; 602[label="primMulNat (Succ xy300100) Zero",fontsize=16,color="black",shape="box"];602 -> 606[label="",style="solid", color="black", weight=3]; 603[label="primMulNat Zero (Succ xy400000)",fontsize=16,color="black",shape="box"];603 -> 607[label="",style="solid", color="black", weight=3]; 604[label="primMulNat Zero Zero",fontsize=16,color="black",shape="box"];604 -> 608[label="",style="solid", color="black", weight=3]; 605 -> 609[label="",style="dashed", color="red", weight=0]; 605[label="primPlusNat (primMulNat xy300100 (Succ xy400000)) (Succ xy400000)",fontsize=16,color="magenta"];605 -> 610[label="",style="dashed", color="magenta", weight=3]; 606[label="Zero",fontsize=16,color="green",shape="box"];607[label="Zero",fontsize=16,color="green",shape="box"];608[label="Zero",fontsize=16,color="green",shape="box"];610 -> 591[label="",style="dashed", color="red", weight=0]; 610[label="primMulNat xy300100 (Succ xy400000)",fontsize=16,color="magenta"];610 -> 611[label="",style="dashed", color="magenta", weight=3]; 610 -> 612[label="",style="dashed", color="magenta", weight=3]; 609[label="primPlusNat xy11 (Succ xy400000)",fontsize=16,color="burlywood",shape="triangle"];863[label="xy11/Succ xy110",fontsize=10,color="white",style="solid",shape="box"];609 -> 863[label="",style="solid", color="burlywood", weight=9]; 863 -> 613[label="",style="solid", color="burlywood", weight=3]; 864[label="xy11/Zero",fontsize=10,color="white",style="solid",shape="box"];609 -> 864[label="",style="solid", color="burlywood", weight=9]; 864 -> 614[label="",style="solid", color="burlywood", weight=3]; 611[label="xy300100",fontsize=16,color="green",shape="box"];612[label="Succ xy400000",fontsize=16,color="green",shape="box"];613[label="primPlusNat (Succ xy110) (Succ xy400000)",fontsize=16,color="black",shape="box"];613 -> 615[label="",style="solid", color="black", weight=3]; 614[label="primPlusNat Zero (Succ xy400000)",fontsize=16,color="black",shape="box"];614 -> 616[label="",style="solid", color="black", weight=3]; 615[label="Succ (Succ (primPlusNat xy110 xy400000))",fontsize=16,color="green",shape="box"];615 -> 617[label="",style="dashed", color="green", weight=3]; 616[label="Succ xy400000",fontsize=16,color="green",shape="box"];617[label="primPlusNat xy110 xy400000",fontsize=16,color="burlywood",shape="triangle"];865[label="xy110/Succ xy1100",fontsize=10,color="white",style="solid",shape="box"];617 -> 865[label="",style="solid", color="burlywood", weight=9]; 865 -> 618[label="",style="solid", color="burlywood", weight=3]; 866[label="xy110/Zero",fontsize=10,color="white",style="solid",shape="box"];617 -> 866[label="",style="solid", color="burlywood", weight=9]; 866 -> 619[label="",style="solid", color="burlywood", weight=3]; 618[label="primPlusNat (Succ xy1100) xy400000",fontsize=16,color="burlywood",shape="box"];867[label="xy400000/Succ xy4000000",fontsize=10,color="white",style="solid",shape="box"];618 -> 867[label="",style="solid", color="burlywood", weight=9]; 867 -> 620[label="",style="solid", color="burlywood", weight=3]; 868[label="xy400000/Zero",fontsize=10,color="white",style="solid",shape="box"];618 -> 868[label="",style="solid", color="burlywood", weight=9]; 868 -> 621[label="",style="solid", color="burlywood", weight=3]; 619[label="primPlusNat Zero xy400000",fontsize=16,color="burlywood",shape="box"];869[label="xy400000/Succ xy4000000",fontsize=10,color="white",style="solid",shape="box"];619 -> 869[label="",style="solid", color="burlywood", weight=9]; 869 -> 622[label="",style="solid", color="burlywood", weight=3]; 870[label="xy400000/Zero",fontsize=10,color="white",style="solid",shape="box"];619 -> 870[label="",style="solid", color="burlywood", weight=9]; 870 -> 623[label="",style="solid", color="burlywood", weight=3]; 620[label="primPlusNat (Succ xy1100) (Succ xy4000000)",fontsize=16,color="black",shape="box"];620 -> 624[label="",style="solid", color="black", weight=3]; 621[label="primPlusNat (Succ xy1100) Zero",fontsize=16,color="black",shape="box"];621 -> 625[label="",style="solid", color="black", weight=3]; 622[label="primPlusNat Zero (Succ xy4000000)",fontsize=16,color="black",shape="box"];622 -> 626[label="",style="solid", color="black", weight=3]; 623[label="primPlusNat Zero Zero",fontsize=16,color="black",shape="box"];623 -> 627[label="",style="solid", color="black", weight=3]; 624[label="Succ (Succ (primPlusNat xy1100 xy4000000))",fontsize=16,color="green",shape="box"];624 -> 628[label="",style="dashed", color="green", weight=3]; 625[label="Succ xy1100",fontsize=16,color="green",shape="box"];626[label="Succ xy4000000",fontsize=16,color="green",shape="box"];627[label="Zero",fontsize=16,color="green",shape="box"];628 -> 617[label="",style="dashed", color="red", weight=0]; 628[label="primPlusNat xy1100 xy4000000",fontsize=16,color="magenta"];628 -> 629[label="",style="dashed", color="magenta", weight=3]; 628 -> 630[label="",style="dashed", color="magenta", weight=3]; 629[label="xy1100",fontsize=16,color="green",shape="box"];630[label="xy4000000",fontsize=16,color="green",shape="box"];} ---------------------------------------- (6) Complex Obligation (AND) ---------------------------------------- (7) Obligation: Q DP problem: The TRS P consists of the following rules: new_esEs(@3(xy3000, xy3001, xy3002), @3(xy4000, xy4001, xy4002), ba, app(app(ty_@2, dc), dd), cg) -> new_esEs2(xy3001, xy4001, dc, dd) new_esEs2(@2(xy3000, xy3001), @2(xy4000, xy4001), gd, app(ty_[], gh)) -> new_esEs0(xy3001, xy4001, gh) new_esEs1(Just(:(xy3000, xy3001)), Just(:(xy4000, xy4001)), app(ty_[], app(app(ty_Either, ga), gb))) -> new_esEs3(xy3000, xy4000, ga, gb) new_esEs1(Just(Left(xy3000)), Just(Left(xy4000)), app(app(ty_Either, app(ty_Maybe, bbe)), bbc)) -> new_esEs1(xy3000, xy4000, bbe) new_esEs1(Just(@3(xy3000, xy3001, xy3002)), Just(@3(xy4000, xy4001, xy4002)), app(app(app(ty_@3, ba), bb), app(app(ty_Either, cb), cc))) -> new_esEs3(xy3002, xy4002, cb, cc) new_esEs1(Just(Right(xy3000)), Just(Right(xy4000)), app(app(ty_Either, bcb), app(app(app(ty_@3, bcc), bcd), bce))) -> new_esEs(xy3000, xy4000, bcc, bcd, bce) new_esEs2(@2(xy3000, xy3001), @2(xy4000, xy4001), gd, app(app(ty_@2, hb), hc)) -> new_esEs2(xy3001, xy4001, hb, hc) new_esEs2(@2(xy3000, xy3001), @2(xy4000, xy4001), app(ty_[], bab), baa) -> new_esEs0(xy3000, xy4000, bab) new_esEs2(@2(xy3000, xy3001), @2(xy4000, xy4001), app(app(ty_Either, baf), bag), baa) -> new_esEs3(xy3000, xy4000, baf, bag) new_esEs1(Just(@3(xy3000, xy3001, xy3002)), Just(@3(xy4000, xy4001, xy4002)), app(app(app(ty_@3, ba), bb), app(ty_[], bf))) -> new_esEs0(xy3002, xy4002, bf) new_esEs(@3(xy3000, xy3001, xy3002), @3(xy4000, xy4001, xy4002), app(app(ty_Either, ef), eg), bb, cg) -> new_esEs3(xy3000, xy4000, ef, eg) new_esEs3(Right(xy3000), Right(xy4000), bcb, app(app(ty_@2, bch), bda)) -> new_esEs2(xy3000, xy4000, bch, bda) new_esEs0(:(xy3000, xy3001), :(xy4000, xy4001), app(ty_[], fd)) -> new_esEs0(xy3000, xy4000, fd) new_esEs1(Just(@3(xy3000, xy3001, xy3002)), Just(@3(xy4000, xy4001, xy4002)), app(app(app(ty_@3, ba), app(ty_[], da)), cg)) -> new_esEs0(xy3001, xy4001, da) new_esEs3(Right(xy3000), Right(xy4000), bcb, app(app(ty_Either, bdb), bdc)) -> new_esEs3(xy3000, xy4000, bdb, bdc) new_esEs3(Left(xy3000), Left(xy4000), app(app(app(ty_@3, bah), bba), bbb), bbc) -> new_esEs(xy3000, xy4000, bah, bba, bbb) new_esEs1(Just(:(xy3000, xy3001)), Just(:(xy4000, xy4001)), app(ty_[], app(app(app(ty_@3, fa), fb), fc))) -> new_esEs(xy3000, xy4000, fa, fb, fc) new_esEs0(:(xy3000, xy3001), :(xy4000, xy4001), app(ty_Maybe, ff)) -> new_esEs1(xy3000, xy4000, ff) new_esEs3(Left(xy3000), Left(xy4000), app(ty_[], bbd), bbc) -> new_esEs0(xy3000, xy4000, bbd) new_esEs1(Just(:(xy3000, xy3001)), Just(:(xy4000, xy4001)), app(ty_[], app(app(ty_@2, fg), fh))) -> new_esEs2(xy3000, xy4000, fg, fh) new_esEs1(Just(@3(xy3000, xy3001, xy3002)), Just(@3(xy4000, xy4001, xy4002)), app(app(app(ty_@3, ba), app(app(ty_@2, dc), dd)), cg)) -> new_esEs2(xy3001, xy4001, dc, dd) new_esEs1(Just(Left(xy3000)), Just(Left(xy4000)), app(app(ty_Either, app(app(ty_@2, bbf), bbg)), bbc)) -> new_esEs2(xy3000, xy4000, bbf, bbg) new_esEs1(Just(@3(xy3000, xy3001, xy3002)), Just(@3(xy4000, xy4001, xy4002)), app(app(app(ty_@3, app(app(app(ty_@3, dg), dh), ea)), bb), cg)) -> new_esEs(xy3000, xy4000, dg, dh, ea) new_esEs1(Just(@3(xy3000, xy3001, xy3002)), Just(@3(xy4000, xy4001, xy4002)), app(app(app(ty_@3, app(app(ty_Either, ef), eg)), bb), cg)) -> new_esEs3(xy3000, xy4000, ef, eg) new_esEs1(Just(@2(xy3000, xy3001)), Just(@2(xy4000, xy4001)), app(app(ty_@2, app(app(ty_@2, bad), bae)), baa)) -> new_esEs2(xy3000, xy4000, bad, bae) new_esEs0(:(xy3000, xy3001), :(xy4000, xy4001), app(app(app(ty_@3, fa), fb), fc)) -> new_esEs(xy3000, xy4000, fa, fb, fc) new_esEs1(Just(Left(xy3000)), Just(Left(xy4000)), app(app(ty_Either, app(app(app(ty_@3, bah), bba), bbb)), bbc)) -> new_esEs(xy3000, xy4000, bah, bba, bbb) new_esEs2(@2(xy3000, xy3001), @2(xy4000, xy4001), app(ty_Maybe, bac), baa) -> new_esEs1(xy3000, xy4000, bac) new_esEs3(Left(xy3000), Left(xy4000), app(ty_Maybe, bbe), bbc) -> new_esEs1(xy3000, xy4000, bbe) new_esEs1(Just(xy300), Just(xy400), app(ty_Maybe, gc)) -> new_esEs1(xy300, xy400, gc) new_esEs1(Just(Right(xy3000)), Just(Right(xy4000)), app(app(ty_Either, bcb), app(app(ty_Either, bdb), bdc))) -> new_esEs3(xy3000, xy4000, bdb, bdc) new_esEs1(Just(@3(xy3000, xy3001, xy3002)), Just(@3(xy4000, xy4001, xy4002)), app(app(app(ty_@3, ba), app(ty_Maybe, db)), cg)) -> new_esEs1(xy3001, xy4001, db) new_esEs1(Just(@3(xy3000, xy3001, xy3002)), Just(@3(xy4000, xy4001, xy4002)), app(app(app(ty_@3, ba), bb), app(app(ty_@2, bh), ca))) -> new_esEs2(xy3002, xy4002, bh, ca) new_esEs(@3(xy3000, xy3001, xy3002), @3(xy4000, xy4001, xy4002), app(ty_[], eb), bb, cg) -> new_esEs0(xy3000, xy4000, eb) new_esEs0(:(xy3000, xy3001), :(xy4000, xy4001), app(app(ty_Either, ga), gb)) -> new_esEs3(xy3000, xy4000, ga, gb) new_esEs3(Left(xy3000), Left(xy4000), app(app(ty_Either, bbh), bca), bbc) -> new_esEs3(xy3000, xy4000, bbh, bca) new_esEs(@3(xy3000, xy3001, xy3002), @3(xy4000, xy4001, xy4002), ba, bb, app(app(ty_@2, bh), ca)) -> new_esEs2(xy3002, xy4002, bh, ca) new_esEs(@3(xy3000, xy3001, xy3002), @3(xy4000, xy4001, xy4002), ba, app(ty_[], da), cg) -> new_esEs0(xy3001, xy4001, da) new_esEs(@3(xy3000, xy3001, xy3002), @3(xy4000, xy4001, xy4002), ba, bb, app(ty_[], bf)) -> new_esEs0(xy3002, xy4002, bf) new_esEs1(Just(@2(xy3000, xy3001)), Just(@2(xy4000, xy4001)), app(app(ty_@2, gd), app(app(app(ty_@3, ge), gf), gg))) -> new_esEs(xy3001, xy4001, ge, gf, gg) new_esEs(@3(xy3000, xy3001, xy3002), @3(xy4000, xy4001, xy4002), ba, bb, app(app(app(ty_@3, bc), bd), be)) -> new_esEs(xy3002, xy4002, bc, bd, be) new_esEs3(Right(xy3000), Right(xy4000), bcb, app(ty_[], bcf)) -> new_esEs0(xy3000, xy4000, bcf) new_esEs0(:(xy3000, xy3001), :(xy4000, xy4001), app(app(ty_@2, fg), fh)) -> new_esEs2(xy3000, xy4000, fg, fh) new_esEs1(Just(@2(xy3000, xy3001)), Just(@2(xy4000, xy4001)), app(app(ty_@2, app(ty_[], bab)), baa)) -> new_esEs0(xy3000, xy4000, bab) new_esEs2(@2(xy3000, xy3001), @2(xy4000, xy4001), app(app(app(ty_@3, hf), hg), hh), baa) -> new_esEs(xy3000, xy4000, hf, hg, hh) new_esEs(@3(xy3000, xy3001, xy3002), @3(xy4000, xy4001, xy4002), app(ty_Maybe, ec), bb, cg) -> new_esEs1(xy3000, xy4000, ec) new_esEs1(Just(@3(xy3000, xy3001, xy3002)), Just(@3(xy4000, xy4001, xy4002)), app(app(app(ty_@3, ba), bb), app(ty_Maybe, bg))) -> new_esEs1(xy3002, xy4002, bg) new_esEs1(Just(@3(xy3000, xy3001, xy3002)), Just(@3(xy4000, xy4001, xy4002)), app(app(app(ty_@3, app(ty_[], eb)), bb), cg)) -> new_esEs0(xy3000, xy4000, eb) new_esEs1(Just(@3(xy3000, xy3001, xy3002)), Just(@3(xy4000, xy4001, xy4002)), app(app(app(ty_@3, app(ty_Maybe, ec)), bb), cg)) -> new_esEs1(xy3000, xy4000, ec) new_esEs1(Just(@2(xy3000, xy3001)), Just(@2(xy4000, xy4001)), app(app(ty_@2, gd), app(app(ty_Either, hd), he))) -> new_esEs3(xy3001, xy4001, hd, he) new_esEs1(Just(@3(xy3000, xy3001, xy3002)), Just(@3(xy4000, xy4001, xy4002)), app(app(app(ty_@3, ba), app(app(app(ty_@3, cd), ce), cf)), cg)) -> new_esEs(xy3001, xy4001, cd, ce, cf) new_esEs(@3(xy3000, xy3001, xy3002), @3(xy4000, xy4001, xy4002), ba, app(ty_Maybe, db), cg) -> new_esEs1(xy3001, xy4001, db) new_esEs1(Just(@2(xy3000, xy3001)), Just(@2(xy4000, xy4001)), app(app(ty_@2, gd), app(app(ty_@2, hb), hc))) -> new_esEs2(xy3001, xy4001, hb, hc) new_esEs1(Just(@2(xy3000, xy3001)), Just(@2(xy4000, xy4001)), app(app(ty_@2, app(app(app(ty_@3, hf), hg), hh)), baa)) -> new_esEs(xy3000, xy4000, hf, hg, hh) new_esEs2(@2(xy3000, xy3001), @2(xy4000, xy4001), app(app(ty_@2, bad), bae), baa) -> new_esEs2(xy3000, xy4000, bad, bae) new_esEs(@3(xy3000, xy3001, xy3002), @3(xy4000, xy4001, xy4002), ba, app(app(app(ty_@3, cd), ce), cf), cg) -> new_esEs(xy3001, xy4001, cd, ce, cf) new_esEs(@3(xy3000, xy3001, xy3002), @3(xy4000, xy4001, xy4002), ba, app(app(ty_Either, de), df), cg) -> new_esEs3(xy3001, xy4001, de, df) new_esEs0(:(xy3000, xy3001), :(xy4000, xy4001), eh) -> new_esEs0(xy3001, xy4001, eh) new_esEs(@3(xy3000, xy3001, xy3002), @3(xy4000, xy4001, xy4002), app(app(ty_@2, ed), ee), bb, cg) -> new_esEs2(xy3000, xy4000, ed, ee) new_esEs2(@2(xy3000, xy3001), @2(xy4000, xy4001), gd, app(app(ty_Either, hd), he)) -> new_esEs3(xy3001, xy4001, hd, he) new_esEs2(@2(xy3000, xy3001), @2(xy4000, xy4001), gd, app(app(app(ty_@3, ge), gf), gg)) -> new_esEs(xy3001, xy4001, ge, gf, gg) new_esEs1(Just(Left(xy3000)), Just(Left(xy4000)), app(app(ty_Either, app(ty_[], bbd)), bbc)) -> new_esEs0(xy3000, xy4000, bbd) new_esEs(@3(xy3000, xy3001, xy3002), @3(xy4000, xy4001, xy4002), ba, bb, app(app(ty_Either, cb), cc)) -> new_esEs3(xy3002, xy4002, cb, cc) new_esEs1(Just(@3(xy3000, xy3001, xy3002)), Just(@3(xy4000, xy4001, xy4002)), app(app(app(ty_@3, ba), bb), app(app(app(ty_@3, bc), bd), be))) -> new_esEs(xy3002, xy4002, bc, bd, be) new_esEs3(Right(xy3000), Right(xy4000), bcb, app(app(app(ty_@3, bcc), bcd), bce)) -> new_esEs(xy3000, xy4000, bcc, bcd, bce) new_esEs3(Right(xy3000), Right(xy4000), bcb, app(ty_Maybe, bcg)) -> new_esEs1(xy3000, xy4000, bcg) new_esEs(@3(xy3000, xy3001, xy3002), @3(xy4000, xy4001, xy4002), ba, bb, app(ty_Maybe, bg)) -> new_esEs1(xy3002, xy4002, bg) new_esEs1(Just(@3(xy3000, xy3001, xy3002)), Just(@3(xy4000, xy4001, xy4002)), app(app(app(ty_@3, app(app(ty_@2, ed), ee)), bb), cg)) -> new_esEs2(xy3000, xy4000, ed, ee) new_esEs1(Just(@2(xy3000, xy3001)), Just(@2(xy4000, xy4001)), app(app(ty_@2, gd), app(ty_Maybe, ha))) -> new_esEs1(xy3001, xy4001, ha) new_esEs3(Left(xy3000), Left(xy4000), app(app(ty_@2, bbf), bbg), bbc) -> new_esEs2(xy3000, xy4000, bbf, bbg) new_esEs(@3(xy3000, xy3001, xy3002), @3(xy4000, xy4001, xy4002), app(app(app(ty_@3, dg), dh), ea), bb, cg) -> new_esEs(xy3000, xy4000, dg, dh, ea) new_esEs1(Just(@3(xy3000, xy3001, xy3002)), Just(@3(xy4000, xy4001, xy4002)), app(app(app(ty_@3, ba), app(app(ty_Either, de), df)), cg)) -> new_esEs3(xy3001, xy4001, de, df) new_esEs1(Just(@2(xy3000, xy3001)), Just(@2(xy4000, xy4001)), app(app(ty_@2, app(app(ty_Either, baf), bag)), baa)) -> new_esEs3(xy3000, xy4000, baf, bag) new_esEs1(Just(Left(xy3000)), Just(Left(xy4000)), app(app(ty_Either, app(app(ty_Either, bbh), bca)), bbc)) -> new_esEs3(xy3000, xy4000, bbh, bca) new_esEs1(Just(:(xy3000, xy3001)), Just(:(xy4000, xy4001)), app(ty_[], app(ty_[], fd))) -> new_esEs0(xy3000, xy4000, fd) new_esEs1(Just(Right(xy3000)), Just(Right(xy4000)), app(app(ty_Either, bcb), app(ty_Maybe, bcg))) -> new_esEs1(xy3000, xy4000, bcg) new_esEs2(@2(xy3000, xy3001), @2(xy4000, xy4001), gd, app(ty_Maybe, ha)) -> new_esEs1(xy3001, xy4001, ha) new_esEs1(Just(Right(xy3000)), Just(Right(xy4000)), app(app(ty_Either, bcb), app(app(ty_@2, bch), bda))) -> new_esEs2(xy3000, xy4000, bch, bda) new_esEs1(Just(@2(xy3000, xy3001)), Just(@2(xy4000, xy4001)), app(app(ty_@2, app(ty_Maybe, bac)), baa)) -> new_esEs1(xy3000, xy4000, bac) new_esEs1(Just(:(xy3000, xy3001)), Just(:(xy4000, xy4001)), app(ty_[], app(ty_Maybe, ff))) -> new_esEs1(xy3000, xy4000, ff) new_esEs1(Just(:(xy3000, xy3001)), Just(:(xy4000, xy4001)), app(ty_[], eh)) -> new_esEs0(xy3001, xy4001, eh) new_esEs1(Just(@2(xy3000, xy3001)), Just(@2(xy4000, xy4001)), app(app(ty_@2, gd), app(ty_[], gh))) -> new_esEs0(xy3001, xy4001, gh) new_esEs1(Just(Right(xy3000)), Just(Right(xy4000)), app(app(ty_Either, bcb), app(ty_[], bcf))) -> new_esEs0(xy3000, xy4000, bcf) R is empty. Q is empty. We have to consider all minimal (P,Q,R)-chains. ---------------------------------------- (8) QDPSizeChangeProof (EQUIVALENT) By using the subterm criterion [SUBTERM_CRITERION] together with the size-change analysis [AAECC05] we have proven that there are no infinite chains for this DP problem. From the DPs we obtained the following set of size-change graphs: *new_esEs0(:(xy3000, xy3001), :(xy4000, xy4001), app(app(app(ty_@3, fa), fb), fc)) -> new_esEs(xy3000, xy4000, fa, fb, fc) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 *new_esEs0(:(xy3000, xy3001), :(xy4000, xy4001), app(app(ty_@2, fg), fh)) -> new_esEs2(xy3000, xy4000, fg, fh) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs0(:(xy3000, xy3001), :(xy4000, xy4001), app(ty_Maybe, ff)) -> new_esEs1(xy3000, xy4000, ff) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs0(:(xy3000, xy3001), :(xy4000, xy4001), app(app(ty_Either, ga), gb)) -> new_esEs3(xy3000, xy4000, ga, gb) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs2(@2(xy3000, xy3001), @2(xy4000, xy4001), app(app(app(ty_@3, hf), hg), hh), baa) -> new_esEs(xy3000, xy4000, hf, hg, hh) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 *new_esEs2(@2(xy3000, xy3001), @2(xy4000, xy4001), gd, app(app(app(ty_@3, ge), gf), gg)) -> new_esEs(xy3001, xy4001, ge, gf, gg) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4, 4 > 5 *new_esEs2(@2(xy3000, xy3001), @2(xy4000, xy4001), gd, app(app(ty_@2, hb), hc)) -> new_esEs2(xy3001, xy4001, hb, hc) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 *new_esEs2(@2(xy3000, xy3001), @2(xy4000, xy4001), app(app(ty_@2, bad), bae), baa) -> new_esEs2(xy3000, xy4000, bad, bae) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs2(@2(xy3000, xy3001), @2(xy4000, xy4001), app(ty_Maybe, bac), baa) -> new_esEs1(xy3000, xy4000, bac) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs2(@2(xy3000, xy3001), @2(xy4000, xy4001), gd, app(ty_Maybe, ha)) -> new_esEs1(xy3001, xy4001, ha) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 *new_esEs2(@2(xy3000, xy3001), @2(xy4000, xy4001), app(app(ty_Either, baf), bag), baa) -> new_esEs3(xy3000, xy4000, baf, bag) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs2(@2(xy3000, xy3001), @2(xy4000, xy4001), gd, app(app(ty_Either, hd), he)) -> new_esEs3(xy3001, xy4001, hd, he) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 *new_esEs2(@2(xy3000, xy3001), @2(xy4000, xy4001), gd, app(ty_[], gh)) -> new_esEs0(xy3001, xy4001, gh) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 *new_esEs2(@2(xy3000, xy3001), @2(xy4000, xy4001), app(ty_[], bab), baa) -> new_esEs0(xy3000, xy4000, bab) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs3(Left(xy3000), Left(xy4000), app(app(app(ty_@3, bah), bba), bbb), bbc) -> new_esEs(xy3000, xy4000, bah, bba, bbb) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 *new_esEs3(Right(xy3000), Right(xy4000), bcb, app(app(app(ty_@3, bcc), bcd), bce)) -> new_esEs(xy3000, xy4000, bcc, bcd, bce) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4, 4 > 5 *new_esEs1(Just(Right(xy3000)), Just(Right(xy4000)), app(app(ty_Either, bcb), app(app(app(ty_@3, bcc), bcd), bce))) -> new_esEs(xy3000, xy4000, bcc, bcd, bce) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 *new_esEs1(Just(:(xy3000, xy3001)), Just(:(xy4000, xy4001)), app(ty_[], app(app(app(ty_@3, fa), fb), fc))) -> new_esEs(xy3000, xy4000, fa, fb, fc) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 *new_esEs1(Just(@3(xy3000, xy3001, xy3002)), Just(@3(xy4000, xy4001, xy4002)), app(app(app(ty_@3, app(app(app(ty_@3, dg), dh), ea)), bb), cg)) -> new_esEs(xy3000, xy4000, dg, dh, ea) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 *new_esEs1(Just(Left(xy3000)), Just(Left(xy4000)), app(app(ty_Either, app(app(app(ty_@3, bah), bba), bbb)), bbc)) -> new_esEs(xy3000, xy4000, bah, bba, bbb) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 *new_esEs1(Just(@2(xy3000, xy3001)), Just(@2(xy4000, xy4001)), app(app(ty_@2, gd), app(app(app(ty_@3, ge), gf), gg))) -> new_esEs(xy3001, xy4001, ge, gf, gg) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 *new_esEs1(Just(@3(xy3000, xy3001, xy3002)), Just(@3(xy4000, xy4001, xy4002)), app(app(app(ty_@3, ba), app(app(app(ty_@3, cd), ce), cf)), cg)) -> new_esEs(xy3001, xy4001, cd, ce, cf) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 *new_esEs1(Just(@2(xy3000, xy3001)), Just(@2(xy4000, xy4001)), app(app(ty_@2, app(app(app(ty_@3, hf), hg), hh)), baa)) -> new_esEs(xy3000, xy4000, hf, hg, hh) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 *new_esEs1(Just(@3(xy3000, xy3001, xy3002)), Just(@3(xy4000, xy4001, xy4002)), app(app(app(ty_@3, ba), bb), app(app(app(ty_@3, bc), bd), be))) -> new_esEs(xy3002, xy4002, bc, bd, be) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 *new_esEs(@3(xy3000, xy3001, xy3002), @3(xy4000, xy4001, xy4002), ba, bb, app(app(app(ty_@3, bc), bd), be)) -> new_esEs(xy3002, xy4002, bc, bd, be) The graph contains the following edges 1 > 1, 2 > 2, 5 > 3, 5 > 4, 5 > 5 *new_esEs(@3(xy3000, xy3001, xy3002), @3(xy4000, xy4001, xy4002), ba, app(app(app(ty_@3, cd), ce), cf), cg) -> new_esEs(xy3001, xy4001, cd, ce, cf) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4, 4 > 5 *new_esEs(@3(xy3000, xy3001, xy3002), @3(xy4000, xy4001, xy4002), app(app(app(ty_@3, dg), dh), ea), bb, cg) -> new_esEs(xy3000, xy4000, dg, dh, ea) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 *new_esEs0(:(xy3000, xy3001), :(xy4000, xy4001), app(ty_[], fd)) -> new_esEs0(xy3000, xy4000, fd) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs0(:(xy3000, xy3001), :(xy4000, xy4001), eh) -> new_esEs0(xy3001, xy4001, eh) The graph contains the following edges 1 > 1, 2 > 2, 3 >= 3 *new_esEs3(Right(xy3000), Right(xy4000), bcb, app(app(ty_@2, bch), bda)) -> new_esEs2(xy3000, xy4000, bch, bda) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 *new_esEs3(Left(xy3000), Left(xy4000), app(app(ty_@2, bbf), bbg), bbc) -> new_esEs2(xy3000, xy4000, bbf, bbg) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs1(Just(:(xy3000, xy3001)), Just(:(xy4000, xy4001)), app(ty_[], app(app(ty_@2, fg), fh))) -> new_esEs2(xy3000, xy4000, fg, fh) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs1(Just(@3(xy3000, xy3001, xy3002)), Just(@3(xy4000, xy4001, xy4002)), app(app(app(ty_@3, ba), app(app(ty_@2, dc), dd)), cg)) -> new_esEs2(xy3001, xy4001, dc, dd) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs1(Just(Left(xy3000)), Just(Left(xy4000)), app(app(ty_Either, app(app(ty_@2, bbf), bbg)), bbc)) -> new_esEs2(xy3000, xy4000, bbf, bbg) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs1(Just(@2(xy3000, xy3001)), Just(@2(xy4000, xy4001)), app(app(ty_@2, app(app(ty_@2, bad), bae)), baa)) -> new_esEs2(xy3000, xy4000, bad, bae) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs1(Just(@3(xy3000, xy3001, xy3002)), Just(@3(xy4000, xy4001, xy4002)), app(app(app(ty_@3, ba), bb), app(app(ty_@2, bh), ca))) -> new_esEs2(xy3002, xy4002, bh, ca) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs1(Just(@2(xy3000, xy3001)), Just(@2(xy4000, xy4001)), app(app(ty_@2, gd), app(app(ty_@2, hb), hc))) -> new_esEs2(xy3001, xy4001, hb, hc) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs1(Just(@3(xy3000, xy3001, xy3002)), Just(@3(xy4000, xy4001, xy4002)), app(app(app(ty_@3, app(app(ty_@2, ed), ee)), bb), cg)) -> new_esEs2(xy3000, xy4000, ed, ee) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs1(Just(Right(xy3000)), Just(Right(xy4000)), app(app(ty_Either, bcb), app(app(ty_@2, bch), bda))) -> new_esEs2(xy3000, xy4000, bch, bda) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs(@3(xy3000, xy3001, xy3002), @3(xy4000, xy4001, xy4002), ba, app(app(ty_@2, dc), dd), cg) -> new_esEs2(xy3001, xy4001, dc, dd) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 *new_esEs(@3(xy3000, xy3001, xy3002), @3(xy4000, xy4001, xy4002), ba, bb, app(app(ty_@2, bh), ca)) -> new_esEs2(xy3002, xy4002, bh, ca) The graph contains the following edges 1 > 1, 2 > 2, 5 > 3, 5 > 4 *new_esEs(@3(xy3000, xy3001, xy3002), @3(xy4000, xy4001, xy4002), app(app(ty_@2, ed), ee), bb, cg) -> new_esEs2(xy3000, xy4000, ed, ee) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs3(Left(xy3000), Left(xy4000), app(ty_Maybe, bbe), bbc) -> new_esEs1(xy3000, xy4000, bbe) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs3(Right(xy3000), Right(xy4000), bcb, app(ty_Maybe, bcg)) -> new_esEs1(xy3000, xy4000, bcg) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 *new_esEs3(Right(xy3000), Right(xy4000), bcb, app(app(ty_Either, bdb), bdc)) -> new_esEs3(xy3000, xy4000, bdb, bdc) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 *new_esEs3(Left(xy3000), Left(xy4000), app(app(ty_Either, bbh), bca), bbc) -> new_esEs3(xy3000, xy4000, bbh, bca) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs3(Left(xy3000), Left(xy4000), app(ty_[], bbd), bbc) -> new_esEs0(xy3000, xy4000, bbd) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs3(Right(xy3000), Right(xy4000), bcb, app(ty_[], bcf)) -> new_esEs0(xy3000, xy4000, bcf) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 *new_esEs1(Just(Left(xy3000)), Just(Left(xy4000)), app(app(ty_Either, app(ty_Maybe, bbe)), bbc)) -> new_esEs1(xy3000, xy4000, bbe) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs1(Just(xy300), Just(xy400), app(ty_Maybe, gc)) -> new_esEs1(xy300, xy400, gc) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs1(Just(@3(xy3000, xy3001, xy3002)), Just(@3(xy4000, xy4001, xy4002)), app(app(app(ty_@3, ba), app(ty_Maybe, db)), cg)) -> new_esEs1(xy3001, xy4001, db) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs1(Just(@3(xy3000, xy3001, xy3002)), Just(@3(xy4000, xy4001, xy4002)), app(app(app(ty_@3, ba), bb), app(ty_Maybe, bg))) -> new_esEs1(xy3002, xy4002, bg) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs1(Just(@3(xy3000, xy3001, xy3002)), Just(@3(xy4000, xy4001, xy4002)), app(app(app(ty_@3, app(ty_Maybe, ec)), bb), cg)) -> new_esEs1(xy3000, xy4000, ec) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs1(Just(@2(xy3000, xy3001)), Just(@2(xy4000, xy4001)), app(app(ty_@2, gd), app(ty_Maybe, ha))) -> new_esEs1(xy3001, xy4001, ha) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs1(Just(Right(xy3000)), Just(Right(xy4000)), app(app(ty_Either, bcb), app(ty_Maybe, bcg))) -> new_esEs1(xy3000, xy4000, bcg) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs1(Just(@2(xy3000, xy3001)), Just(@2(xy4000, xy4001)), app(app(ty_@2, app(ty_Maybe, bac)), baa)) -> new_esEs1(xy3000, xy4000, bac) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs1(Just(:(xy3000, xy3001)), Just(:(xy4000, xy4001)), app(ty_[], app(ty_Maybe, ff))) -> new_esEs1(xy3000, xy4000, ff) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs(@3(xy3000, xy3001, xy3002), @3(xy4000, xy4001, xy4002), app(ty_Maybe, ec), bb, cg) -> new_esEs1(xy3000, xy4000, ec) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs(@3(xy3000, xy3001, xy3002), @3(xy4000, xy4001, xy4002), ba, app(ty_Maybe, db), cg) -> new_esEs1(xy3001, xy4001, db) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 *new_esEs(@3(xy3000, xy3001, xy3002), @3(xy4000, xy4001, xy4002), ba, bb, app(ty_Maybe, bg)) -> new_esEs1(xy3002, xy4002, bg) The graph contains the following edges 1 > 1, 2 > 2, 5 > 3 *new_esEs1(Just(:(xy3000, xy3001)), Just(:(xy4000, xy4001)), app(ty_[], app(app(ty_Either, ga), gb))) -> new_esEs3(xy3000, xy4000, ga, gb) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs1(Just(@3(xy3000, xy3001, xy3002)), Just(@3(xy4000, xy4001, xy4002)), app(app(app(ty_@3, ba), bb), app(app(ty_Either, cb), cc))) -> new_esEs3(xy3002, xy4002, cb, cc) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs1(Just(@3(xy3000, xy3001, xy3002)), Just(@3(xy4000, xy4001, xy4002)), app(app(app(ty_@3, app(app(ty_Either, ef), eg)), bb), cg)) -> new_esEs3(xy3000, xy4000, ef, eg) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs1(Just(Right(xy3000)), Just(Right(xy4000)), app(app(ty_Either, bcb), app(app(ty_Either, bdb), bdc))) -> new_esEs3(xy3000, xy4000, bdb, bdc) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs1(Just(@2(xy3000, xy3001)), Just(@2(xy4000, xy4001)), app(app(ty_@2, gd), app(app(ty_Either, hd), he))) -> new_esEs3(xy3001, xy4001, hd, he) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs1(Just(@3(xy3000, xy3001, xy3002)), Just(@3(xy4000, xy4001, xy4002)), app(app(app(ty_@3, ba), app(app(ty_Either, de), df)), cg)) -> new_esEs3(xy3001, xy4001, de, df) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs1(Just(@2(xy3000, xy3001)), Just(@2(xy4000, xy4001)), app(app(ty_@2, app(app(ty_Either, baf), bag)), baa)) -> new_esEs3(xy3000, xy4000, baf, bag) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs1(Just(Left(xy3000)), Just(Left(xy4000)), app(app(ty_Either, app(app(ty_Either, bbh), bca)), bbc)) -> new_esEs3(xy3000, xy4000, bbh, bca) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs1(Just(@3(xy3000, xy3001, xy3002)), Just(@3(xy4000, xy4001, xy4002)), app(app(app(ty_@3, ba), bb), app(ty_[], bf))) -> new_esEs0(xy3002, xy4002, bf) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs1(Just(@3(xy3000, xy3001, xy3002)), Just(@3(xy4000, xy4001, xy4002)), app(app(app(ty_@3, ba), app(ty_[], da)), cg)) -> new_esEs0(xy3001, xy4001, da) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs1(Just(@2(xy3000, xy3001)), Just(@2(xy4000, xy4001)), app(app(ty_@2, app(ty_[], bab)), baa)) -> new_esEs0(xy3000, xy4000, bab) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs1(Just(@3(xy3000, xy3001, xy3002)), Just(@3(xy4000, xy4001, xy4002)), app(app(app(ty_@3, app(ty_[], eb)), bb), cg)) -> new_esEs0(xy3000, xy4000, eb) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs1(Just(Left(xy3000)), Just(Left(xy4000)), app(app(ty_Either, app(ty_[], bbd)), bbc)) -> new_esEs0(xy3000, xy4000, bbd) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs1(Just(:(xy3000, xy3001)), Just(:(xy4000, xy4001)), app(ty_[], app(ty_[], fd))) -> new_esEs0(xy3000, xy4000, fd) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs1(Just(:(xy3000, xy3001)), Just(:(xy4000, xy4001)), app(ty_[], eh)) -> new_esEs0(xy3001, xy4001, eh) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs1(Just(@2(xy3000, xy3001)), Just(@2(xy4000, xy4001)), app(app(ty_@2, gd), app(ty_[], gh))) -> new_esEs0(xy3001, xy4001, gh) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs1(Just(Right(xy3000)), Just(Right(xy4000)), app(app(ty_Either, bcb), app(ty_[], bcf))) -> new_esEs0(xy3000, xy4000, bcf) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs(@3(xy3000, xy3001, xy3002), @3(xy4000, xy4001, xy4002), app(app(ty_Either, ef), eg), bb, cg) -> new_esEs3(xy3000, xy4000, ef, eg) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs(@3(xy3000, xy3001, xy3002), @3(xy4000, xy4001, xy4002), ba, app(app(ty_Either, de), df), cg) -> new_esEs3(xy3001, xy4001, de, df) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 *new_esEs(@3(xy3000, xy3001, xy3002), @3(xy4000, xy4001, xy4002), ba, bb, app(app(ty_Either, cb), cc)) -> new_esEs3(xy3002, xy4002, cb, cc) The graph contains the following edges 1 > 1, 2 > 2, 5 > 3, 5 > 4 *new_esEs(@3(xy3000, xy3001, xy3002), @3(xy4000, xy4001, xy4002), app(ty_[], eb), bb, cg) -> new_esEs0(xy3000, xy4000, eb) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs(@3(xy3000, xy3001, xy3002), @3(xy4000, xy4001, xy4002), ba, app(ty_[], da), cg) -> new_esEs0(xy3001, xy4001, da) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 *new_esEs(@3(xy3000, xy3001, xy3002), @3(xy4000, xy4001, xy4002), ba, bb, app(ty_[], bf)) -> new_esEs0(xy3002, xy4002, bf) The graph contains the following edges 1 > 1, 2 > 2, 5 > 3 ---------------------------------------- (9) YES ---------------------------------------- (10) Obligation: Q DP problem: The TRS P consists of the following rules: new_isPrefixOf(:(xy30, xy31), :(xy40, xy41), ba) -> new_isPrefixOf(xy31, xy41, ba) R is empty. Q is empty. We have to consider all minimal (P,Q,R)-chains. ---------------------------------------- (11) 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(:(xy30, xy31), :(xy40, xy41), ba) -> new_isPrefixOf(xy31, xy41, ba) The graph contains the following edges 1 > 1, 2 > 2, 3 >= 3 ---------------------------------------- (12) YES ---------------------------------------- (13) Obligation: Q DP problem: The TRS P consists of the following rules: new_primMulNat(Succ(xy300100), Succ(xy400000)) -> new_primMulNat(xy300100, Succ(xy400000)) 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_primMulNat(Succ(xy300100), Succ(xy400000)) -> new_primMulNat(xy300100, Succ(xy400000)) The graph contains the following edges 1 > 1, 2 >= 2 ---------------------------------------- (15) YES ---------------------------------------- (16) Obligation: Q DP problem: The TRS P consists of the following rules: new_primPlusNat(Succ(xy1100), Succ(xy4000000)) -> new_primPlusNat(xy1100, xy4000000) R is empty. Q is empty. We have to consider all minimal (P,Q,R)-chains. ---------------------------------------- (17) 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(xy1100), Succ(xy4000000)) -> new_primPlusNat(xy1100, xy4000000) The graph contains the following edges 1 > 1, 2 > 2 ---------------------------------------- (18) YES ---------------------------------------- (19) Obligation: Q DP problem: The TRS P consists of the following rules: new_primEqNat(Succ(xy30000), Succ(xy40000)) -> new_primEqNat(xy30000, xy40000) R is empty. Q is empty. We have to consider all minimal (P,Q,R)-chains. ---------------------------------------- (20) 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(xy30000), Succ(xy40000)) -> new_primEqNat(xy30000, xy40000) The graph contains the following edges 1 > 1, 2 > 2 ---------------------------------------- (21) YES