/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# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty H-Termination with start terms of the given HASKELL could be proven: (0) HASKELL (1) BR [EQUIVALENT, 0 ms] (2) HASKELL (3) COR [EQUIVALENT, 10 ms] (4) HASKELL (5) Narrow [SOUND, 0 ms] (6) AND (7) QDP (8) QDPSizeChangeProof [EQUIVALENT, 0 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"];651[label="xy3/xy30 : xy31",fontsize=10,color="white",style="solid",shape="box"];4 -> 651[label="",style="solid", color="burlywood", weight=9]; 651 -> 5[label="",style="solid", color="burlywood", weight=3]; 652[label="xy3/[]",fontsize=10,color="white",style="solid",shape="box"];4 -> 652[label="",style="solid", color="burlywood", weight=9]; 652 -> 6[label="",style="solid", color="burlywood", weight=3]; 5[label="List.isPrefixOf (xy30 : xy31) xy4",fontsize=16,color="burlywood",shape="box"];653[label="xy4/xy40 : xy41",fontsize=10,color="white",style="solid",shape="box"];5 -> 653[label="",style="solid", color="burlywood", weight=9]; 653 -> 7[label="",style="solid", color="burlywood", weight=3]; 654[label="xy4/[]",fontsize=10,color="white",style="solid",shape="box"];5 -> 654[label="",style="solid", color="burlywood", weight=9]; 654 -> 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 -> 16[label="",style="dashed", color="red", weight=0]; 10[label="xy30 == xy40 && List.isPrefixOf xy31 xy41",fontsize=16,color="magenta"];10 -> 17[label="",style="dashed", color="magenta", weight=3]; 10 -> 18[label="",style="dashed", color="magenta", weight=3]; 11[label="False",fontsize=16,color="green",shape="box"];17 -> 4[label="",style="dashed", color="red", weight=0]; 17[label="List.isPrefixOf xy31 xy41",fontsize=16,color="magenta"];17 -> 21[label="",style="dashed", color="magenta", weight=3]; 17 -> 22[label="",style="dashed", color="magenta", weight=3]; 18[label="xy30 == xy40",fontsize=16,color="blue",shape="box"];655[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];18 -> 655[label="",style="solid", color="blue", weight=9]; 655 -> 23[label="",style="solid", color="blue", weight=3]; 656[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];18 -> 656[label="",style="solid", color="blue", weight=9]; 656 -> 24[label="",style="solid", color="blue", weight=3]; 657[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];18 -> 657[label="",style="solid", color="blue", weight=9]; 657 -> 25[label="",style="solid", color="blue", weight=3]; 658[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];18 -> 658[label="",style="solid", color="blue", weight=9]; 658 -> 26[label="",style="solid", color="blue", weight=3]; 659[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];18 -> 659[label="",style="solid", color="blue", weight=9]; 659 -> 27[label="",style="solid", color="blue", weight=3]; 660[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];18 -> 660[label="",style="solid", color="blue", weight=9]; 660 -> 28[label="",style="solid", color="blue", weight=3]; 661[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];18 -> 661[label="",style="solid", color="blue", weight=9]; 661 -> 29[label="",style="solid", color="blue", weight=3]; 662[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];18 -> 662[label="",style="solid", color="blue", weight=9]; 662 -> 30[label="",style="solid", color="blue", weight=3]; 663[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];18 -> 663[label="",style="solid", color="blue", weight=9]; 663 -> 31[label="",style="solid", color="blue", weight=3]; 664[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];18 -> 664[label="",style="solid", color="blue", weight=9]; 664 -> 32[label="",style="solid", color="blue", weight=3]; 665[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];18 -> 665[label="",style="solid", color="blue", weight=9]; 665 -> 33[label="",style="solid", color="blue", weight=3]; 666[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];18 -> 666[label="",style="solid", color="blue", weight=9]; 666 -> 34[label="",style="solid", color="blue", weight=3]; 667[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];18 -> 667[label="",style="solid", color="blue", weight=9]; 667 -> 35[label="",style="solid", color="blue", weight=3]; 668[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];18 -> 668[label="",style="solid", color="blue", weight=9]; 668 -> 36[label="",style="solid", color="blue", weight=3]; 16[label="xy9 && xy10",fontsize=16,color="burlywood",shape="triangle"];669[label="xy9/False",fontsize=10,color="white",style="solid",shape="box"];16 -> 669[label="",style="solid", color="burlywood", weight=9]; 669 -> 37[label="",style="solid", color="burlywood", weight=3]; 670[label="xy9/True",fontsize=10,color="white",style="solid",shape="box"];16 -> 670[label="",style="solid", color="burlywood", weight=9]; 670 -> 38[label="",style="solid", color="burlywood", weight=3]; 21[label="xy31",fontsize=16,color="green",shape="box"];22[label="xy41",fontsize=16,color="green",shape="box"];23[label="xy30 == xy40",fontsize=16,color="burlywood",shape="triangle"];671[label="xy30/Left xy300",fontsize=10,color="white",style="solid",shape="box"];23 -> 671[label="",style="solid", color="burlywood", weight=9]; 671 -> 39[label="",style="solid", color="burlywood", weight=3]; 672[label="xy30/Right xy300",fontsize=10,color="white",style="solid",shape="box"];23 -> 672[label="",style="solid", color="burlywood", weight=9]; 672 -> 40[label="",style="solid", color="burlywood", weight=3]; 24[label="xy30 == xy40",fontsize=16,color="burlywood",shape="triangle"];673[label="xy30/xy300 : xy301",fontsize=10,color="white",style="solid",shape="box"];24 -> 673[label="",style="solid", color="burlywood", weight=9]; 673 -> 41[label="",style="solid", color="burlywood", weight=3]; 674[label="xy30/[]",fontsize=10,color="white",style="solid",shape="box"];24 -> 674[label="",style="solid", color="burlywood", weight=9]; 674 -> 42[label="",style="solid", color="burlywood", weight=3]; 25[label="xy30 == xy40",fontsize=16,color="black",shape="triangle"];25 -> 43[label="",style="solid", color="black", weight=3]; 26[label="xy30 == xy40",fontsize=16,color="burlywood",shape="triangle"];675[label="xy30/Integer xy300",fontsize=10,color="white",style="solid",shape="box"];26 -> 675[label="",style="solid", color="burlywood", weight=9]; 675 -> 44[label="",style="solid", color="burlywood", weight=3]; 27[label="xy30 == xy40",fontsize=16,color="burlywood",shape="triangle"];676[label="xy30/False",fontsize=10,color="white",style="solid",shape="box"];27 -> 676[label="",style="solid", color="burlywood", weight=9]; 676 -> 45[label="",style="solid", color="burlywood", weight=3]; 677[label="xy30/True",fontsize=10,color="white",style="solid",shape="box"];27 -> 677[label="",style="solid", color="burlywood", weight=9]; 677 -> 46[label="",style="solid", color="burlywood", weight=3]; 28[label="xy30 == xy40",fontsize=16,color="burlywood",shape="triangle"];678[label="xy30/Nothing",fontsize=10,color="white",style="solid",shape="box"];28 -> 678[label="",style="solid", color="burlywood", weight=9]; 678 -> 47[label="",style="solid", color="burlywood", weight=3]; 679[label="xy30/Just xy300",fontsize=10,color="white",style="solid",shape="box"];28 -> 679[label="",style="solid", color="burlywood", weight=9]; 679 -> 48[label="",style="solid", color="burlywood", weight=3]; 29[label="xy30 == xy40",fontsize=16,color="burlywood",shape="triangle"];680[label="xy30/xy300 :% xy301",fontsize=10,color="white",style="solid",shape="box"];29 -> 680[label="",style="solid", color="burlywood", weight=9]; 680 -> 49[label="",style="solid", color="burlywood", weight=3]; 30[label="xy30 == xy40",fontsize=16,color="black",shape="triangle"];30 -> 50[label="",style="solid", color="black", weight=3]; 31[label="xy30 == xy40",fontsize=16,color="burlywood",shape="triangle"];681[label="xy30/()",fontsize=10,color="white",style="solid",shape="box"];31 -> 681[label="",style="solid", color="burlywood", weight=9]; 681 -> 51[label="",style="solid", color="burlywood", weight=3]; 32[label="xy30 == xy40",fontsize=16,color="burlywood",shape="triangle"];682[label="xy30/(xy300,xy301)",fontsize=10,color="white",style="solid",shape="box"];32 -> 682[label="",style="solid", color="burlywood", weight=9]; 682 -> 52[label="",style="solid", color="burlywood", weight=3]; 33[label="xy30 == xy40",fontsize=16,color="black",shape="triangle"];33 -> 53[label="",style="solid", color="black", weight=3]; 34[label="xy30 == xy40",fontsize=16,color="burlywood",shape="triangle"];683[label="xy30/LT",fontsize=10,color="white",style="solid",shape="box"];34 -> 683[label="",style="solid", color="burlywood", weight=9]; 683 -> 54[label="",style="solid", color="burlywood", weight=3]; 684[label="xy30/EQ",fontsize=10,color="white",style="solid",shape="box"];34 -> 684[label="",style="solid", color="burlywood", weight=9]; 684 -> 55[label="",style="solid", color="burlywood", weight=3]; 685[label="xy30/GT",fontsize=10,color="white",style="solid",shape="box"];34 -> 685[label="",style="solid", color="burlywood", weight=9]; 685 -> 56[label="",style="solid", color="burlywood", weight=3]; 35[label="xy30 == xy40",fontsize=16,color="black",shape="triangle"];35 -> 57[label="",style="solid", color="black", weight=3]; 36[label="xy30 == xy40",fontsize=16,color="burlywood",shape="triangle"];686[label="xy30/(xy300,xy301,xy302)",fontsize=10,color="white",style="solid",shape="box"];36 -> 686[label="",style="solid", color="burlywood", weight=9]; 686 -> 58[label="",style="solid", color="burlywood", weight=3]; 37[label="False && xy10",fontsize=16,color="black",shape="box"];37 -> 59[label="",style="solid", color="black", weight=3]; 38[label="True && xy10",fontsize=16,color="black",shape="box"];38 -> 60[label="",style="solid", color="black", weight=3]; 39[label="Left xy300 == xy40",fontsize=16,color="burlywood",shape="box"];687[label="xy40/Left xy400",fontsize=10,color="white",style="solid",shape="box"];39 -> 687[label="",style="solid", color="burlywood", weight=9]; 687 -> 61[label="",style="solid", color="burlywood", weight=3]; 688[label="xy40/Right xy400",fontsize=10,color="white",style="solid",shape="box"];39 -> 688[label="",style="solid", color="burlywood", weight=9]; 688 -> 62[label="",style="solid", color="burlywood", weight=3]; 40[label="Right xy300 == xy40",fontsize=16,color="burlywood",shape="box"];689[label="xy40/Left xy400",fontsize=10,color="white",style="solid",shape="box"];40 -> 689[label="",style="solid", color="burlywood", weight=9]; 689 -> 63[label="",style="solid", color="burlywood", weight=3]; 690[label="xy40/Right xy400",fontsize=10,color="white",style="solid",shape="box"];40 -> 690[label="",style="solid", color="burlywood", weight=9]; 690 -> 64[label="",style="solid", color="burlywood", weight=3]; 41[label="xy300 : xy301 == xy40",fontsize=16,color="burlywood",shape="box"];691[label="xy40/xy400 : xy401",fontsize=10,color="white",style="solid",shape="box"];41 -> 691[label="",style="solid", color="burlywood", weight=9]; 691 -> 65[label="",style="solid", color="burlywood", weight=3]; 692[label="xy40/[]",fontsize=10,color="white",style="solid",shape="box"];41 -> 692[label="",style="solid", color="burlywood", weight=9]; 692 -> 66[label="",style="solid", color="burlywood", weight=3]; 42[label="[] == xy40",fontsize=16,color="burlywood",shape="box"];693[label="xy40/xy400 : xy401",fontsize=10,color="white",style="solid",shape="box"];42 -> 693[label="",style="solid", color="burlywood", weight=9]; 693 -> 67[label="",style="solid", color="burlywood", weight=3]; 694[label="xy40/[]",fontsize=10,color="white",style="solid",shape="box"];42 -> 694[label="",style="solid", color="burlywood", weight=9]; 694 -> 68[label="",style="solid", color="burlywood", weight=3]; 43[label="primEqInt xy30 xy40",fontsize=16,color="burlywood",shape="triangle"];695[label="xy30/Pos xy300",fontsize=10,color="white",style="solid",shape="box"];43 -> 695[label="",style="solid", color="burlywood", weight=9]; 695 -> 69[label="",style="solid", color="burlywood", weight=3]; 696[label="xy30/Neg xy300",fontsize=10,color="white",style="solid",shape="box"];43 -> 696[label="",style="solid", color="burlywood", weight=9]; 696 -> 70[label="",style="solid", color="burlywood", weight=3]; 44[label="Integer xy300 == xy40",fontsize=16,color="burlywood",shape="box"];697[label="xy40/Integer xy400",fontsize=10,color="white",style="solid",shape="box"];44 -> 697[label="",style="solid", color="burlywood", weight=9]; 697 -> 71[label="",style="solid", color="burlywood", weight=3]; 45[label="False == xy40",fontsize=16,color="burlywood",shape="box"];698[label="xy40/False",fontsize=10,color="white",style="solid",shape="box"];45 -> 698[label="",style="solid", color="burlywood", weight=9]; 698 -> 72[label="",style="solid", color="burlywood", weight=3]; 699[label="xy40/True",fontsize=10,color="white",style="solid",shape="box"];45 -> 699[label="",style="solid", color="burlywood", weight=9]; 699 -> 73[label="",style="solid", color="burlywood", weight=3]; 46[label="True == xy40",fontsize=16,color="burlywood",shape="box"];700[label="xy40/False",fontsize=10,color="white",style="solid",shape="box"];46 -> 700[label="",style="solid", color="burlywood", weight=9]; 700 -> 74[label="",style="solid", color="burlywood", weight=3]; 701[label="xy40/True",fontsize=10,color="white",style="solid",shape="box"];46 -> 701[label="",style="solid", color="burlywood", weight=9]; 701 -> 75[label="",style="solid", color="burlywood", weight=3]; 47[label="Nothing == xy40",fontsize=16,color="burlywood",shape="box"];702[label="xy40/Nothing",fontsize=10,color="white",style="solid",shape="box"];47 -> 702[label="",style="solid", color="burlywood", weight=9]; 702 -> 76[label="",style="solid", color="burlywood", weight=3]; 703[label="xy40/Just xy400",fontsize=10,color="white",style="solid",shape="box"];47 -> 703[label="",style="solid", color="burlywood", weight=9]; 703 -> 77[label="",style="solid", color="burlywood", weight=3]; 48[label="Just xy300 == xy40",fontsize=16,color="burlywood",shape="box"];704[label="xy40/Nothing",fontsize=10,color="white",style="solid",shape="box"];48 -> 704[label="",style="solid", color="burlywood", weight=9]; 704 -> 78[label="",style="solid", color="burlywood", weight=3]; 705[label="xy40/Just xy400",fontsize=10,color="white",style="solid",shape="box"];48 -> 705[label="",style="solid", color="burlywood", weight=9]; 705 -> 79[label="",style="solid", color="burlywood", weight=3]; 49[label="xy300 :% xy301 == xy40",fontsize=16,color="burlywood",shape="box"];706[label="xy40/xy400 :% xy401",fontsize=10,color="white",style="solid",shape="box"];49 -> 706[label="",style="solid", color="burlywood", weight=9]; 706 -> 80[label="",style="solid", color="burlywood", weight=3]; 50[label="primEqFloat xy30 xy40",fontsize=16,color="burlywood",shape="box"];707[label="xy30/Float xy300 xy301",fontsize=10,color="white",style="solid",shape="box"];50 -> 707[label="",style="solid", color="burlywood", weight=9]; 707 -> 81[label="",style="solid", color="burlywood", weight=3]; 51[label="() == xy40",fontsize=16,color="burlywood",shape="box"];708[label="xy40/()",fontsize=10,color="white",style="solid",shape="box"];51 -> 708[label="",style="solid", color="burlywood", weight=9]; 708 -> 82[label="",style="solid", color="burlywood", weight=3]; 52[label="(xy300,xy301) == xy40",fontsize=16,color="burlywood",shape="box"];709[label="xy40/(xy400,xy401)",fontsize=10,color="white",style="solid",shape="box"];52 -> 709[label="",style="solid", color="burlywood", weight=9]; 709 -> 83[label="",style="solid", color="burlywood", weight=3]; 53[label="primEqChar xy30 xy40",fontsize=16,color="burlywood",shape="box"];710[label="xy30/Char xy300",fontsize=10,color="white",style="solid",shape="box"];53 -> 710[label="",style="solid", color="burlywood", weight=9]; 710 -> 84[label="",style="solid", color="burlywood", weight=3]; 54[label="LT == xy40",fontsize=16,color="burlywood",shape="box"];711[label="xy40/LT",fontsize=10,color="white",style="solid",shape="box"];54 -> 711[label="",style="solid", color="burlywood", weight=9]; 711 -> 85[label="",style="solid", color="burlywood", weight=3]; 712[label="xy40/EQ",fontsize=10,color="white",style="solid",shape="box"];54 -> 712[label="",style="solid", color="burlywood", weight=9]; 712 -> 86[label="",style="solid", color="burlywood", weight=3]; 713[label="xy40/GT",fontsize=10,color="white",style="solid",shape="box"];54 -> 713[label="",style="solid", color="burlywood", weight=9]; 713 -> 87[label="",style="solid", color="burlywood", weight=3]; 55[label="EQ == xy40",fontsize=16,color="burlywood",shape="box"];714[label="xy40/LT",fontsize=10,color="white",style="solid",shape="box"];55 -> 714[label="",style="solid", color="burlywood", weight=9]; 714 -> 88[label="",style="solid", color="burlywood", weight=3]; 715[label="xy40/EQ",fontsize=10,color="white",style="solid",shape="box"];55 -> 715[label="",style="solid", color="burlywood", weight=9]; 715 -> 89[label="",style="solid", color="burlywood", weight=3]; 716[label="xy40/GT",fontsize=10,color="white",style="solid",shape="box"];55 -> 716[label="",style="solid", color="burlywood", weight=9]; 716 -> 90[label="",style="solid", color="burlywood", weight=3]; 56[label="GT == xy40",fontsize=16,color="burlywood",shape="box"];717[label="xy40/LT",fontsize=10,color="white",style="solid",shape="box"];56 -> 717[label="",style="solid", color="burlywood", weight=9]; 717 -> 91[label="",style="solid", color="burlywood", weight=3]; 718[label="xy40/EQ",fontsize=10,color="white",style="solid",shape="box"];56 -> 718[label="",style="solid", color="burlywood", weight=9]; 718 -> 92[label="",style="solid", color="burlywood", weight=3]; 719[label="xy40/GT",fontsize=10,color="white",style="solid",shape="box"];56 -> 719[label="",style="solid", color="burlywood", weight=9]; 719 -> 93[label="",style="solid", color="burlywood", weight=3]; 57[label="primEqDouble xy30 xy40",fontsize=16,color="burlywood",shape="box"];720[label="xy30/Double xy300 xy301",fontsize=10,color="white",style="solid",shape="box"];57 -> 720[label="",style="solid", color="burlywood", weight=9]; 720 -> 94[label="",style="solid", color="burlywood", weight=3]; 58[label="(xy300,xy301,xy302) == xy40",fontsize=16,color="burlywood",shape="box"];721[label="xy40/(xy400,xy401,xy402)",fontsize=10,color="white",style="solid",shape="box"];58 -> 721[label="",style="solid", color="burlywood", weight=9]; 721 -> 95[label="",style="solid", color="burlywood", weight=3]; 59[label="False",fontsize=16,color="green",shape="box"];60[label="xy10",fontsize=16,color="green",shape="box"];61[label="Left xy300 == Left xy400",fontsize=16,color="black",shape="box"];61 -> 96[label="",style="solid", color="black", weight=3]; 62[label="Left xy300 == Right xy400",fontsize=16,color="black",shape="box"];62 -> 97[label="",style="solid", color="black", weight=3]; 63[label="Right xy300 == Left xy400",fontsize=16,color="black",shape="box"];63 -> 98[label="",style="solid", color="black", weight=3]; 64[label="Right xy300 == Right xy400",fontsize=16,color="black",shape="box"];64 -> 99[label="",style="solid", color="black", weight=3]; 65[label="xy300 : xy301 == xy400 : xy401",fontsize=16,color="black",shape="box"];65 -> 100[label="",style="solid", color="black", weight=3]; 66[label="xy300 : xy301 == []",fontsize=16,color="black",shape="box"];66 -> 101[label="",style="solid", color="black", weight=3]; 67[label="[] == xy400 : xy401",fontsize=16,color="black",shape="box"];67 -> 102[label="",style="solid", color="black", weight=3]; 68[label="[] == []",fontsize=16,color="black",shape="box"];68 -> 103[label="",style="solid", color="black", weight=3]; 69[label="primEqInt (Pos xy300) xy40",fontsize=16,color="burlywood",shape="box"];722[label="xy300/Succ xy3000",fontsize=10,color="white",style="solid",shape="box"];69 -> 722[label="",style="solid", color="burlywood", weight=9]; 722 -> 104[label="",style="solid", color="burlywood", weight=3]; 723[label="xy300/Zero",fontsize=10,color="white",style="solid",shape="box"];69 -> 723[label="",style="solid", color="burlywood", weight=9]; 723 -> 105[label="",style="solid", color="burlywood", weight=3]; 70[label="primEqInt (Neg xy300) xy40",fontsize=16,color="burlywood",shape="box"];724[label="xy300/Succ xy3000",fontsize=10,color="white",style="solid",shape="box"];70 -> 724[label="",style="solid", color="burlywood", weight=9]; 724 -> 106[label="",style="solid", color="burlywood", weight=3]; 725[label="xy300/Zero",fontsize=10,color="white",style="solid",shape="box"];70 -> 725[label="",style="solid", color="burlywood", weight=9]; 725 -> 107[label="",style="solid", color="burlywood", weight=3]; 71[label="Integer xy300 == Integer xy400",fontsize=16,color="black",shape="box"];71 -> 108[label="",style="solid", color="black", weight=3]; 72[label="False == False",fontsize=16,color="black",shape="box"];72 -> 109[label="",style="solid", color="black", weight=3]; 73[label="False == True",fontsize=16,color="black",shape="box"];73 -> 110[label="",style="solid", color="black", weight=3]; 74[label="True == False",fontsize=16,color="black",shape="box"];74 -> 111[label="",style="solid", color="black", weight=3]; 75[label="True == True",fontsize=16,color="black",shape="box"];75 -> 112[label="",style="solid", color="black", weight=3]; 76[label="Nothing == Nothing",fontsize=16,color="black",shape="box"];76 -> 113[label="",style="solid", color="black", weight=3]; 77[label="Nothing == Just xy400",fontsize=16,color="black",shape="box"];77 -> 114[label="",style="solid", color="black", weight=3]; 78[label="Just xy300 == Nothing",fontsize=16,color="black",shape="box"];78 -> 115[label="",style="solid", color="black", weight=3]; 79[label="Just xy300 == Just xy400",fontsize=16,color="black",shape="box"];79 -> 116[label="",style="solid", color="black", weight=3]; 80[label="xy300 :% xy301 == xy400 :% xy401",fontsize=16,color="black",shape="box"];80 -> 117[label="",style="solid", color="black", weight=3]; 81[label="primEqFloat (Float xy300 xy301) xy40",fontsize=16,color="burlywood",shape="box"];726[label="xy40/Float xy400 xy401",fontsize=10,color="white",style="solid",shape="box"];81 -> 726[label="",style="solid", color="burlywood", weight=9]; 726 -> 118[label="",style="solid", color="burlywood", weight=3]; 82[label="() == ()",fontsize=16,color="black",shape="box"];82 -> 119[label="",style="solid", color="black", weight=3]; 83[label="(xy300,xy301) == (xy400,xy401)",fontsize=16,color="black",shape="box"];83 -> 120[label="",style="solid", color="black", weight=3]; 84[label="primEqChar (Char xy300) xy40",fontsize=16,color="burlywood",shape="box"];727[label="xy40/Char xy400",fontsize=10,color="white",style="solid",shape="box"];84 -> 727[label="",style="solid", color="burlywood", weight=9]; 727 -> 121[label="",style="solid", color="burlywood", weight=3]; 85[label="LT == LT",fontsize=16,color="black",shape="box"];85 -> 122[label="",style="solid", color="black", weight=3]; 86[label="LT == EQ",fontsize=16,color="black",shape="box"];86 -> 123[label="",style="solid", color="black", weight=3]; 87[label="LT == GT",fontsize=16,color="black",shape="box"];87 -> 124[label="",style="solid", color="black", weight=3]; 88[label="EQ == LT",fontsize=16,color="black",shape="box"];88 -> 125[label="",style="solid", color="black", weight=3]; 89[label="EQ == EQ",fontsize=16,color="black",shape="box"];89 -> 126[label="",style="solid", color="black", weight=3]; 90[label="EQ == GT",fontsize=16,color="black",shape="box"];90 -> 127[label="",style="solid", color="black", weight=3]; 91[label="GT == LT",fontsize=16,color="black",shape="box"];91 -> 128[label="",style="solid", color="black", weight=3]; 92[label="GT == EQ",fontsize=16,color="black",shape="box"];92 -> 129[label="",style="solid", color="black", weight=3]; 93[label="GT == GT",fontsize=16,color="black",shape="box"];93 -> 130[label="",style="solid", color="black", weight=3]; 94[label="primEqDouble (Double xy300 xy301) xy40",fontsize=16,color="burlywood",shape="box"];728[label="xy40/Double xy400 xy401",fontsize=10,color="white",style="solid",shape="box"];94 -> 728[label="",style="solid", color="burlywood", weight=9]; 728 -> 131[label="",style="solid", color="burlywood", weight=3]; 95[label="(xy300,xy301,xy302) == (xy400,xy401,xy402)",fontsize=16,color="black",shape="box"];95 -> 132[label="",style="solid", color="black", weight=3]; 96[label="xy300 == xy400",fontsize=16,color="blue",shape="box"];729[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];96 -> 729[label="",style="solid", color="blue", weight=9]; 729 -> 133[label="",style="solid", color="blue", weight=3]; 730[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];96 -> 730[label="",style="solid", color="blue", weight=9]; 730 -> 134[label="",style="solid", color="blue", weight=3]; 731[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];96 -> 731[label="",style="solid", color="blue", weight=9]; 731 -> 135[label="",style="solid", color="blue", weight=3]; 732[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];96 -> 732[label="",style="solid", color="blue", weight=9]; 732 -> 136[label="",style="solid", color="blue", weight=3]; 733[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];96 -> 733[label="",style="solid", color="blue", weight=9]; 733 -> 137[label="",style="solid", color="blue", weight=3]; 734[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];96 -> 734[label="",style="solid", color="blue", weight=9]; 734 -> 138[label="",style="solid", color="blue", weight=3]; 735[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];96 -> 735[label="",style="solid", color="blue", weight=9]; 735 -> 139[label="",style="solid", color="blue", weight=3]; 736[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];96 -> 736[label="",style="solid", color="blue", weight=9]; 736 -> 140[label="",style="solid", color="blue", weight=3]; 737[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];96 -> 737[label="",style="solid", color="blue", weight=9]; 737 -> 141[label="",style="solid", color="blue", weight=3]; 738[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];96 -> 738[label="",style="solid", color="blue", weight=9]; 738 -> 142[label="",style="solid", color="blue", weight=3]; 739[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];96 -> 739[label="",style="solid", color="blue", weight=9]; 739 -> 143[label="",style="solid", color="blue", weight=3]; 740[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];96 -> 740[label="",style="solid", color="blue", weight=9]; 740 -> 144[label="",style="solid", color="blue", weight=3]; 741[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];96 -> 741[label="",style="solid", color="blue", weight=9]; 741 -> 145[label="",style="solid", color="blue", weight=3]; 742[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];96 -> 742[label="",style="solid", color="blue", weight=9]; 742 -> 146[label="",style="solid", color="blue", weight=3]; 97[label="False",fontsize=16,color="green",shape="box"];98[label="False",fontsize=16,color="green",shape="box"];99[label="xy300 == xy400",fontsize=16,color="blue",shape="box"];743[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];99 -> 743[label="",style="solid", color="blue", weight=9]; 743 -> 147[label="",style="solid", color="blue", weight=3]; 744[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];99 -> 744[label="",style="solid", color="blue", weight=9]; 744 -> 148[label="",style="solid", color="blue", weight=3]; 745[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];99 -> 745[label="",style="solid", color="blue", weight=9]; 745 -> 149[label="",style="solid", color="blue", weight=3]; 746[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];99 -> 746[label="",style="solid", color="blue", weight=9]; 746 -> 150[label="",style="solid", color="blue", weight=3]; 747[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];99 -> 747[label="",style="solid", color="blue", weight=9]; 747 -> 151[label="",style="solid", color="blue", weight=3]; 748[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];99 -> 748[label="",style="solid", color="blue", weight=9]; 748 -> 152[label="",style="solid", color="blue", weight=3]; 749[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];99 -> 749[label="",style="solid", color="blue", weight=9]; 749 -> 153[label="",style="solid", color="blue", weight=3]; 750[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];99 -> 750[label="",style="solid", color="blue", weight=9]; 750 -> 154[label="",style="solid", color="blue", weight=3]; 751[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];99 -> 751[label="",style="solid", color="blue", weight=9]; 751 -> 155[label="",style="solid", color="blue", weight=3]; 752[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];99 -> 752[label="",style="solid", color="blue", weight=9]; 752 -> 156[label="",style="solid", color="blue", weight=3]; 753[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];99 -> 753[label="",style="solid", color="blue", weight=9]; 753 -> 157[label="",style="solid", color="blue", weight=3]; 754[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];99 -> 754[label="",style="solid", color="blue", weight=9]; 754 -> 158[label="",style="solid", color="blue", weight=3]; 755[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];99 -> 755[label="",style="solid", color="blue", weight=9]; 755 -> 159[label="",style="solid", color="blue", weight=3]; 756[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];99 -> 756[label="",style="solid", color="blue", weight=9]; 756 -> 160[label="",style="solid", color="blue", weight=3]; 100 -> 16[label="",style="dashed", color="red", weight=0]; 100[label="xy300 == xy400 && xy301 == xy401",fontsize=16,color="magenta"];100 -> 161[label="",style="dashed", color="magenta", weight=3]; 100 -> 162[label="",style="dashed", color="magenta", weight=3]; 101[label="False",fontsize=16,color="green",shape="box"];102[label="False",fontsize=16,color="green",shape="box"];103[label="True",fontsize=16,color="green",shape="box"];104[label="primEqInt (Pos (Succ xy3000)) xy40",fontsize=16,color="burlywood",shape="box"];757[label="xy40/Pos xy400",fontsize=10,color="white",style="solid",shape="box"];104 -> 757[label="",style="solid", color="burlywood", weight=9]; 757 -> 163[label="",style="solid", color="burlywood", weight=3]; 758[label="xy40/Neg xy400",fontsize=10,color="white",style="solid",shape="box"];104 -> 758[label="",style="solid", color="burlywood", weight=9]; 758 -> 164[label="",style="solid", color="burlywood", weight=3]; 105[label="primEqInt (Pos Zero) xy40",fontsize=16,color="burlywood",shape="box"];759[label="xy40/Pos xy400",fontsize=10,color="white",style="solid",shape="box"];105 -> 759[label="",style="solid", color="burlywood", weight=9]; 759 -> 165[label="",style="solid", color="burlywood", weight=3]; 760[label="xy40/Neg xy400",fontsize=10,color="white",style="solid",shape="box"];105 -> 760[label="",style="solid", color="burlywood", weight=9]; 760 -> 166[label="",style="solid", color="burlywood", weight=3]; 106[label="primEqInt (Neg (Succ xy3000)) xy40",fontsize=16,color="burlywood",shape="box"];761[label="xy40/Pos xy400",fontsize=10,color="white",style="solid",shape="box"];106 -> 761[label="",style="solid", color="burlywood", weight=9]; 761 -> 167[label="",style="solid", color="burlywood", weight=3]; 762[label="xy40/Neg xy400",fontsize=10,color="white",style="solid",shape="box"];106 -> 762[label="",style="solid", color="burlywood", weight=9]; 762 -> 168[label="",style="solid", color="burlywood", weight=3]; 107[label="primEqInt (Neg Zero) xy40",fontsize=16,color="burlywood",shape="box"];763[label="xy40/Pos xy400",fontsize=10,color="white",style="solid",shape="box"];107 -> 763[label="",style="solid", color="burlywood", weight=9]; 763 -> 169[label="",style="solid", color="burlywood", weight=3]; 764[label="xy40/Neg xy400",fontsize=10,color="white",style="solid",shape="box"];107 -> 764[label="",style="solid", color="burlywood", weight=9]; 764 -> 170[label="",style="solid", color="burlywood", weight=3]; 108 -> 43[label="",style="dashed", color="red", weight=0]; 108[label="primEqInt xy300 xy400",fontsize=16,color="magenta"];108 -> 171[label="",style="dashed", color="magenta", weight=3]; 108 -> 172[label="",style="dashed", color="magenta", weight=3]; 109[label="True",fontsize=16,color="green",shape="box"];110[label="False",fontsize=16,color="green",shape="box"];111[label="False",fontsize=16,color="green",shape="box"];112[label="True",fontsize=16,color="green",shape="box"];113[label="True",fontsize=16,color="green",shape="box"];114[label="False",fontsize=16,color="green",shape="box"];115[label="False",fontsize=16,color="green",shape="box"];116[label="xy300 == xy400",fontsize=16,color="blue",shape="box"];765[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];116 -> 765[label="",style="solid", color="blue", weight=9]; 765 -> 173[label="",style="solid", color="blue", weight=3]; 766[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];116 -> 766[label="",style="solid", color="blue", weight=9]; 766 -> 174[label="",style="solid", color="blue", weight=3]; 767[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];116 -> 767[label="",style="solid", color="blue", weight=9]; 767 -> 175[label="",style="solid", color="blue", weight=3]; 768[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];116 -> 768[label="",style="solid", color="blue", weight=9]; 768 -> 176[label="",style="solid", color="blue", weight=3]; 769[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];116 -> 769[label="",style="solid", color="blue", weight=9]; 769 -> 177[label="",style="solid", color="blue", weight=3]; 770[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];116 -> 770[label="",style="solid", color="blue", weight=9]; 770 -> 178[label="",style="solid", color="blue", weight=3]; 771[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];116 -> 771[label="",style="solid", color="blue", weight=9]; 771 -> 179[label="",style="solid", color="blue", weight=3]; 772[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];116 -> 772[label="",style="solid", color="blue", weight=9]; 772 -> 180[label="",style="solid", color="blue", weight=3]; 773[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];116 -> 773[label="",style="solid", color="blue", weight=9]; 773 -> 181[label="",style="solid", color="blue", weight=3]; 774[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];116 -> 774[label="",style="solid", color="blue", weight=9]; 774 -> 182[label="",style="solid", color="blue", weight=3]; 775[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];116 -> 775[label="",style="solid", color="blue", weight=9]; 775 -> 183[label="",style="solid", color="blue", weight=3]; 776[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];116 -> 776[label="",style="solid", color="blue", weight=9]; 776 -> 184[label="",style="solid", color="blue", weight=3]; 777[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];116 -> 777[label="",style="solid", color="blue", weight=9]; 777 -> 185[label="",style="solid", color="blue", weight=3]; 778[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];116 -> 778[label="",style="solid", color="blue", weight=9]; 778 -> 186[label="",style="solid", color="blue", weight=3]; 117 -> 16[label="",style="dashed", color="red", weight=0]; 117[label="xy300 == xy400 && xy301 == xy401",fontsize=16,color="magenta"];117 -> 187[label="",style="dashed", color="magenta", weight=3]; 117 -> 188[label="",style="dashed", color="magenta", weight=3]; 118[label="primEqFloat (Float xy300 xy301) (Float xy400 xy401)",fontsize=16,color="black",shape="box"];118 -> 189[label="",style="solid", color="black", weight=3]; 119[label="True",fontsize=16,color="green",shape="box"];120 -> 16[label="",style="dashed", color="red", weight=0]; 120[label="xy300 == xy400 && xy301 == xy401",fontsize=16,color="magenta"];120 -> 190[label="",style="dashed", color="magenta", weight=3]; 120 -> 191[label="",style="dashed", color="magenta", weight=3]; 121[label="primEqChar (Char xy300) (Char xy400)",fontsize=16,color="black",shape="box"];121 -> 192[label="",style="solid", color="black", weight=3]; 122[label="True",fontsize=16,color="green",shape="box"];123[label="False",fontsize=16,color="green",shape="box"];124[label="False",fontsize=16,color="green",shape="box"];125[label="False",fontsize=16,color="green",shape="box"];126[label="True",fontsize=16,color="green",shape="box"];127[label="False",fontsize=16,color="green",shape="box"];128[label="False",fontsize=16,color="green",shape="box"];129[label="False",fontsize=16,color="green",shape="box"];130[label="True",fontsize=16,color="green",shape="box"];131[label="primEqDouble (Double xy300 xy301) (Double xy400 xy401)",fontsize=16,color="black",shape="box"];131 -> 193[label="",style="solid", color="black", weight=3]; 132 -> 16[label="",style="dashed", color="red", weight=0]; 132[label="xy300 == xy400 && xy301 == xy401 && xy302 == xy402",fontsize=16,color="magenta"];132 -> 194[label="",style="dashed", color="magenta", weight=3]; 132 -> 195[label="",style="dashed", color="magenta", weight=3]; 133 -> 23[label="",style="dashed", color="red", weight=0]; 133[label="xy300 == xy400",fontsize=16,color="magenta"];133 -> 196[label="",style="dashed", color="magenta", weight=3]; 133 -> 197[label="",style="dashed", color="magenta", weight=3]; 134 -> 24[label="",style="dashed", color="red", weight=0]; 134[label="xy300 == xy400",fontsize=16,color="magenta"];134 -> 198[label="",style="dashed", color="magenta", weight=3]; 134 -> 199[label="",style="dashed", color="magenta", weight=3]; 135 -> 25[label="",style="dashed", color="red", weight=0]; 135[label="xy300 == xy400",fontsize=16,color="magenta"];135 -> 200[label="",style="dashed", color="magenta", weight=3]; 135 -> 201[label="",style="dashed", color="magenta", weight=3]; 136 -> 26[label="",style="dashed", color="red", weight=0]; 136[label="xy300 == xy400",fontsize=16,color="magenta"];136 -> 202[label="",style="dashed", color="magenta", weight=3]; 136 -> 203[label="",style="dashed", color="magenta", weight=3]; 137 -> 27[label="",style="dashed", color="red", weight=0]; 137[label="xy300 == xy400",fontsize=16,color="magenta"];137 -> 204[label="",style="dashed", color="magenta", weight=3]; 137 -> 205[label="",style="dashed", color="magenta", weight=3]; 138 -> 28[label="",style="dashed", color="red", weight=0]; 138[label="xy300 == xy400",fontsize=16,color="magenta"];138 -> 206[label="",style="dashed", color="magenta", weight=3]; 138 -> 207[label="",style="dashed", color="magenta", weight=3]; 139 -> 29[label="",style="dashed", color="red", weight=0]; 139[label="xy300 == xy400",fontsize=16,color="magenta"];139 -> 208[label="",style="dashed", color="magenta", weight=3]; 139 -> 209[label="",style="dashed", color="magenta", weight=3]; 140 -> 30[label="",style="dashed", color="red", weight=0]; 140[label="xy300 == xy400",fontsize=16,color="magenta"];140 -> 210[label="",style="dashed", color="magenta", weight=3]; 140 -> 211[label="",style="dashed", color="magenta", weight=3]; 141 -> 31[label="",style="dashed", color="red", weight=0]; 141[label="xy300 == xy400",fontsize=16,color="magenta"];141 -> 212[label="",style="dashed", color="magenta", weight=3]; 141 -> 213[label="",style="dashed", color="magenta", weight=3]; 142 -> 32[label="",style="dashed", color="red", weight=0]; 142[label="xy300 == xy400",fontsize=16,color="magenta"];142 -> 214[label="",style="dashed", color="magenta", weight=3]; 142 -> 215[label="",style="dashed", color="magenta", weight=3]; 143 -> 33[label="",style="dashed", color="red", weight=0]; 143[label="xy300 == xy400",fontsize=16,color="magenta"];143 -> 216[label="",style="dashed", color="magenta", weight=3]; 143 -> 217[label="",style="dashed", color="magenta", weight=3]; 144 -> 34[label="",style="dashed", color="red", weight=0]; 144[label="xy300 == xy400",fontsize=16,color="magenta"];144 -> 218[label="",style="dashed", color="magenta", weight=3]; 144 -> 219[label="",style="dashed", color="magenta", weight=3]; 145 -> 35[label="",style="dashed", color="red", weight=0]; 145[label="xy300 == xy400",fontsize=16,color="magenta"];145 -> 220[label="",style="dashed", color="magenta", weight=3]; 145 -> 221[label="",style="dashed", color="magenta", weight=3]; 146 -> 36[label="",style="dashed", color="red", weight=0]; 146[label="xy300 == xy400",fontsize=16,color="magenta"];146 -> 222[label="",style="dashed", color="magenta", weight=3]; 146 -> 223[label="",style="dashed", color="magenta", weight=3]; 147 -> 23[label="",style="dashed", color="red", weight=0]; 147[label="xy300 == xy400",fontsize=16,color="magenta"];147 -> 224[label="",style="dashed", color="magenta", weight=3]; 147 -> 225[label="",style="dashed", color="magenta", weight=3]; 148 -> 24[label="",style="dashed", color="red", weight=0]; 148[label="xy300 == xy400",fontsize=16,color="magenta"];148 -> 226[label="",style="dashed", color="magenta", weight=3]; 148 -> 227[label="",style="dashed", color="magenta", weight=3]; 149 -> 25[label="",style="dashed", color="red", weight=0]; 149[label="xy300 == xy400",fontsize=16,color="magenta"];149 -> 228[label="",style="dashed", color="magenta", weight=3]; 149 -> 229[label="",style="dashed", color="magenta", weight=3]; 150 -> 26[label="",style="dashed", color="red", weight=0]; 150[label="xy300 == xy400",fontsize=16,color="magenta"];150 -> 230[label="",style="dashed", color="magenta", weight=3]; 150 -> 231[label="",style="dashed", color="magenta", weight=3]; 151 -> 27[label="",style="dashed", color="red", weight=0]; 151[label="xy300 == xy400",fontsize=16,color="magenta"];151 -> 232[label="",style="dashed", color="magenta", weight=3]; 151 -> 233[label="",style="dashed", color="magenta", weight=3]; 152 -> 28[label="",style="dashed", color="red", weight=0]; 152[label="xy300 == xy400",fontsize=16,color="magenta"];152 -> 234[label="",style="dashed", color="magenta", weight=3]; 152 -> 235[label="",style="dashed", color="magenta", weight=3]; 153 -> 29[label="",style="dashed", color="red", weight=0]; 153[label="xy300 == xy400",fontsize=16,color="magenta"];153 -> 236[label="",style="dashed", color="magenta", weight=3]; 153 -> 237[label="",style="dashed", color="magenta", weight=3]; 154 -> 30[label="",style="dashed", color="red", weight=0]; 154[label="xy300 == xy400",fontsize=16,color="magenta"];154 -> 238[label="",style="dashed", color="magenta", weight=3]; 154 -> 239[label="",style="dashed", color="magenta", weight=3]; 155 -> 31[label="",style="dashed", color="red", weight=0]; 155[label="xy300 == xy400",fontsize=16,color="magenta"];155 -> 240[label="",style="dashed", color="magenta", weight=3]; 155 -> 241[label="",style="dashed", color="magenta", weight=3]; 156 -> 32[label="",style="dashed", color="red", weight=0]; 156[label="xy300 == xy400",fontsize=16,color="magenta"];156 -> 242[label="",style="dashed", color="magenta", weight=3]; 156 -> 243[label="",style="dashed", color="magenta", weight=3]; 157 -> 33[label="",style="dashed", color="red", weight=0]; 157[label="xy300 == xy400",fontsize=16,color="magenta"];157 -> 244[label="",style="dashed", color="magenta", weight=3]; 157 -> 245[label="",style="dashed", color="magenta", weight=3]; 158 -> 34[label="",style="dashed", color="red", weight=0]; 158[label="xy300 == xy400",fontsize=16,color="magenta"];158 -> 246[label="",style="dashed", color="magenta", weight=3]; 158 -> 247[label="",style="dashed", color="magenta", weight=3]; 159 -> 35[label="",style="dashed", color="red", weight=0]; 159[label="xy300 == xy400",fontsize=16,color="magenta"];159 -> 248[label="",style="dashed", color="magenta", weight=3]; 159 -> 249[label="",style="dashed", color="magenta", weight=3]; 160 -> 36[label="",style="dashed", color="red", weight=0]; 160[label="xy300 == xy400",fontsize=16,color="magenta"];160 -> 250[label="",style="dashed", color="magenta", weight=3]; 160 -> 251[label="",style="dashed", color="magenta", weight=3]; 161 -> 24[label="",style="dashed", color="red", weight=0]; 161[label="xy301 == xy401",fontsize=16,color="magenta"];161 -> 252[label="",style="dashed", color="magenta", weight=3]; 161 -> 253[label="",style="dashed", color="magenta", weight=3]; 162[label="xy300 == xy400",fontsize=16,color="blue",shape="box"];779[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];162 -> 779[label="",style="solid", color="blue", weight=9]; 779 -> 254[label="",style="solid", color="blue", weight=3]; 780[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];162 -> 780[label="",style="solid", color="blue", weight=9]; 780 -> 255[label="",style="solid", color="blue", weight=3]; 781[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];162 -> 781[label="",style="solid", color="blue", weight=9]; 781 -> 256[label="",style="solid", color="blue", weight=3]; 782[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];162 -> 782[label="",style="solid", color="blue", weight=9]; 782 -> 257[label="",style="solid", color="blue", weight=3]; 783[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];162 -> 783[label="",style="solid", color="blue", weight=9]; 783 -> 258[label="",style="solid", color="blue", weight=3]; 784[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];162 -> 784[label="",style="solid", color="blue", weight=9]; 784 -> 259[label="",style="solid", color="blue", weight=3]; 785[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];162 -> 785[label="",style="solid", color="blue", weight=9]; 785 -> 260[label="",style="solid", color="blue", weight=3]; 786[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];162 -> 786[label="",style="solid", color="blue", weight=9]; 786 -> 261[label="",style="solid", color="blue", weight=3]; 787[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];162 -> 787[label="",style="solid", color="blue", weight=9]; 787 -> 262[label="",style="solid", color="blue", weight=3]; 788[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];162 -> 788[label="",style="solid", color="blue", weight=9]; 788 -> 263[label="",style="solid", color="blue", weight=3]; 789[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];162 -> 789[label="",style="solid", color="blue", weight=9]; 789 -> 264[label="",style="solid", color="blue", weight=3]; 790[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];162 -> 790[label="",style="solid", color="blue", weight=9]; 790 -> 265[label="",style="solid", color="blue", weight=3]; 791[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];162 -> 791[label="",style="solid", color="blue", weight=9]; 791 -> 266[label="",style="solid", color="blue", weight=3]; 792[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];162 -> 792[label="",style="solid", color="blue", weight=9]; 792 -> 267[label="",style="solid", color="blue", weight=3]; 163[label="primEqInt (Pos (Succ xy3000)) (Pos xy400)",fontsize=16,color="burlywood",shape="box"];793[label="xy400/Succ xy4000",fontsize=10,color="white",style="solid",shape="box"];163 -> 793[label="",style="solid", color="burlywood", weight=9]; 793 -> 268[label="",style="solid", color="burlywood", weight=3]; 794[label="xy400/Zero",fontsize=10,color="white",style="solid",shape="box"];163 -> 794[label="",style="solid", color="burlywood", weight=9]; 794 -> 269[label="",style="solid", color="burlywood", weight=3]; 164[label="primEqInt (Pos (Succ xy3000)) (Neg xy400)",fontsize=16,color="black",shape="box"];164 -> 270[label="",style="solid", color="black", weight=3]; 165[label="primEqInt (Pos Zero) (Pos xy400)",fontsize=16,color="burlywood",shape="box"];795[label="xy400/Succ xy4000",fontsize=10,color="white",style="solid",shape="box"];165 -> 795[label="",style="solid", color="burlywood", weight=9]; 795 -> 271[label="",style="solid", color="burlywood", weight=3]; 796[label="xy400/Zero",fontsize=10,color="white",style="solid",shape="box"];165 -> 796[label="",style="solid", color="burlywood", weight=9]; 796 -> 272[label="",style="solid", color="burlywood", weight=3]; 166[label="primEqInt (Pos Zero) (Neg xy400)",fontsize=16,color="burlywood",shape="box"];797[label="xy400/Succ xy4000",fontsize=10,color="white",style="solid",shape="box"];166 -> 797[label="",style="solid", color="burlywood", weight=9]; 797 -> 273[label="",style="solid", color="burlywood", weight=3]; 798[label="xy400/Zero",fontsize=10,color="white",style="solid",shape="box"];166 -> 798[label="",style="solid", color="burlywood", weight=9]; 798 -> 274[label="",style="solid", color="burlywood", weight=3]; 167[label="primEqInt (Neg (Succ xy3000)) (Pos xy400)",fontsize=16,color="black",shape="box"];167 -> 275[label="",style="solid", color="black", weight=3]; 168[label="primEqInt (Neg (Succ xy3000)) (Neg xy400)",fontsize=16,color="burlywood",shape="box"];799[label="xy400/Succ xy4000",fontsize=10,color="white",style="solid",shape="box"];168 -> 799[label="",style="solid", color="burlywood", weight=9]; 799 -> 276[label="",style="solid", color="burlywood", weight=3]; 800[label="xy400/Zero",fontsize=10,color="white",style="solid",shape="box"];168 -> 800[label="",style="solid", color="burlywood", weight=9]; 800 -> 277[label="",style="solid", color="burlywood", weight=3]; 169[label="primEqInt (Neg Zero) (Pos xy400)",fontsize=16,color="burlywood",shape="box"];801[label="xy400/Succ xy4000",fontsize=10,color="white",style="solid",shape="box"];169 -> 801[label="",style="solid", color="burlywood", weight=9]; 801 -> 278[label="",style="solid", color="burlywood", weight=3]; 802[label="xy400/Zero",fontsize=10,color="white",style="solid",shape="box"];169 -> 802[label="",style="solid", color="burlywood", weight=9]; 802 -> 279[label="",style="solid", color="burlywood", weight=3]; 170[label="primEqInt (Neg Zero) (Neg xy400)",fontsize=16,color="burlywood",shape="box"];803[label="xy400/Succ xy4000",fontsize=10,color="white",style="solid",shape="box"];170 -> 803[label="",style="solid", color="burlywood", weight=9]; 803 -> 280[label="",style="solid", color="burlywood", weight=3]; 804[label="xy400/Zero",fontsize=10,color="white",style="solid",shape="box"];170 -> 804[label="",style="solid", color="burlywood", weight=9]; 804 -> 281[label="",style="solid", color="burlywood", weight=3]; 171[label="xy400",fontsize=16,color="green",shape="box"];172[label="xy300",fontsize=16,color="green",shape="box"];173 -> 23[label="",style="dashed", color="red", weight=0]; 173[label="xy300 == xy400",fontsize=16,color="magenta"];173 -> 282[label="",style="dashed", color="magenta", weight=3]; 173 -> 283[label="",style="dashed", color="magenta", weight=3]; 174 -> 24[label="",style="dashed", color="red", weight=0]; 174[label="xy300 == xy400",fontsize=16,color="magenta"];174 -> 284[label="",style="dashed", color="magenta", weight=3]; 174 -> 285[label="",style="dashed", color="magenta", weight=3]; 175 -> 25[label="",style="dashed", color="red", weight=0]; 175[label="xy300 == xy400",fontsize=16,color="magenta"];175 -> 286[label="",style="dashed", color="magenta", weight=3]; 175 -> 287[label="",style="dashed", color="magenta", weight=3]; 176 -> 26[label="",style="dashed", color="red", weight=0]; 176[label="xy300 == xy400",fontsize=16,color="magenta"];176 -> 288[label="",style="dashed", color="magenta", weight=3]; 176 -> 289[label="",style="dashed", color="magenta", weight=3]; 177 -> 27[label="",style="dashed", color="red", weight=0]; 177[label="xy300 == xy400",fontsize=16,color="magenta"];177 -> 290[label="",style="dashed", color="magenta", weight=3]; 177 -> 291[label="",style="dashed", color="magenta", weight=3]; 178 -> 28[label="",style="dashed", color="red", weight=0]; 178[label="xy300 == xy400",fontsize=16,color="magenta"];178 -> 292[label="",style="dashed", color="magenta", weight=3]; 178 -> 293[label="",style="dashed", color="magenta", weight=3]; 179 -> 29[label="",style="dashed", color="red", weight=0]; 179[label="xy300 == xy400",fontsize=16,color="magenta"];179 -> 294[label="",style="dashed", color="magenta", weight=3]; 179 -> 295[label="",style="dashed", color="magenta", weight=3]; 180 -> 30[label="",style="dashed", color="red", weight=0]; 180[label="xy300 == xy400",fontsize=16,color="magenta"];180 -> 296[label="",style="dashed", color="magenta", weight=3]; 180 -> 297[label="",style="dashed", color="magenta", weight=3]; 181 -> 31[label="",style="dashed", color="red", weight=0]; 181[label="xy300 == xy400",fontsize=16,color="magenta"];181 -> 298[label="",style="dashed", color="magenta", weight=3]; 181 -> 299[label="",style="dashed", color="magenta", weight=3]; 182 -> 32[label="",style="dashed", color="red", weight=0]; 182[label="xy300 == xy400",fontsize=16,color="magenta"];182 -> 300[label="",style="dashed", color="magenta", weight=3]; 182 -> 301[label="",style="dashed", color="magenta", weight=3]; 183 -> 33[label="",style="dashed", color="red", weight=0]; 183[label="xy300 == xy400",fontsize=16,color="magenta"];183 -> 302[label="",style="dashed", color="magenta", weight=3]; 183 -> 303[label="",style="dashed", color="magenta", weight=3]; 184 -> 34[label="",style="dashed", color="red", weight=0]; 184[label="xy300 == xy400",fontsize=16,color="magenta"];184 -> 304[label="",style="dashed", color="magenta", weight=3]; 184 -> 305[label="",style="dashed", color="magenta", weight=3]; 185 -> 35[label="",style="dashed", color="red", weight=0]; 185[label="xy300 == xy400",fontsize=16,color="magenta"];185 -> 306[label="",style="dashed", color="magenta", weight=3]; 185 -> 307[label="",style="dashed", color="magenta", weight=3]; 186 -> 36[label="",style="dashed", color="red", weight=0]; 186[label="xy300 == xy400",fontsize=16,color="magenta"];186 -> 308[label="",style="dashed", color="magenta", weight=3]; 186 -> 309[label="",style="dashed", color="magenta", weight=3]; 187[label="xy301 == xy401",fontsize=16,color="blue",shape="box"];805[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];187 -> 805[label="",style="solid", color="blue", weight=9]; 805 -> 310[label="",style="solid", color="blue", weight=3]; 806[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];187 -> 806[label="",style="solid", color="blue", weight=9]; 806 -> 311[label="",style="solid", color="blue", weight=3]; 188[label="xy300 == xy400",fontsize=16,color="blue",shape="box"];807[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];188 -> 807[label="",style="solid", color="blue", weight=9]; 807 -> 312[label="",style="solid", color="blue", weight=3]; 808[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];188 -> 808[label="",style="solid", color="blue", weight=9]; 808 -> 313[label="",style="solid", color="blue", weight=3]; 189 -> 25[label="",style="dashed", color="red", weight=0]; 189[label="xy300 * xy401 == xy301 * xy400",fontsize=16,color="magenta"];189 -> 314[label="",style="dashed", color="magenta", weight=3]; 189 -> 315[label="",style="dashed", color="magenta", weight=3]; 190[label="xy301 == xy401",fontsize=16,color="blue",shape="box"];809[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];190 -> 809[label="",style="solid", color="blue", weight=9]; 809 -> 316[label="",style="solid", color="blue", weight=3]; 810[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];190 -> 810[label="",style="solid", color="blue", weight=9]; 810 -> 317[label="",style="solid", color="blue", weight=3]; 811[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];190 -> 811[label="",style="solid", color="blue", weight=9]; 811 -> 318[label="",style="solid", color="blue", weight=3]; 812[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];190 -> 812[label="",style="solid", color="blue", weight=9]; 812 -> 319[label="",style="solid", color="blue", weight=3]; 813[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];190 -> 813[label="",style="solid", color="blue", weight=9]; 813 -> 320[label="",style="solid", color="blue", weight=3]; 814[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];190 -> 814[label="",style="solid", color="blue", weight=9]; 814 -> 321[label="",style="solid", color="blue", weight=3]; 815[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];190 -> 815[label="",style="solid", color="blue", weight=9]; 815 -> 322[label="",style="solid", color="blue", weight=3]; 816[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];190 -> 816[label="",style="solid", color="blue", weight=9]; 816 -> 323[label="",style="solid", color="blue", weight=3]; 817[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];190 -> 817[label="",style="solid", color="blue", weight=9]; 817 -> 324[label="",style="solid", color="blue", weight=3]; 818[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];190 -> 818[label="",style="solid", color="blue", weight=9]; 818 -> 325[label="",style="solid", color="blue", weight=3]; 819[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];190 -> 819[label="",style="solid", color="blue", weight=9]; 819 -> 326[label="",style="solid", color="blue", weight=3]; 820[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];190 -> 820[label="",style="solid", color="blue", weight=9]; 820 -> 327[label="",style="solid", color="blue", weight=3]; 821[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];190 -> 821[label="",style="solid", color="blue", weight=9]; 821 -> 328[label="",style="solid", color="blue", weight=3]; 822[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];190 -> 822[label="",style="solid", color="blue", weight=9]; 822 -> 329[label="",style="solid", color="blue", weight=3]; 191[label="xy300 == xy400",fontsize=16,color="blue",shape="box"];823[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];191 -> 823[label="",style="solid", color="blue", weight=9]; 823 -> 330[label="",style="solid", color="blue", weight=3]; 824[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];191 -> 824[label="",style="solid", color="blue", weight=9]; 824 -> 331[label="",style="solid", color="blue", weight=3]; 825[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];191 -> 825[label="",style="solid", color="blue", weight=9]; 825 -> 332[label="",style="solid", color="blue", weight=3]; 826[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];191 -> 826[label="",style="solid", color="blue", weight=9]; 826 -> 333[label="",style="solid", color="blue", weight=3]; 827[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];191 -> 827[label="",style="solid", color="blue", weight=9]; 827 -> 334[label="",style="solid", color="blue", weight=3]; 828[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];191 -> 828[label="",style="solid", color="blue", weight=9]; 828 -> 335[label="",style="solid", color="blue", weight=3]; 829[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];191 -> 829[label="",style="solid", color="blue", weight=9]; 829 -> 336[label="",style="solid", color="blue", weight=3]; 830[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];191 -> 830[label="",style="solid", color="blue", weight=9]; 830 -> 337[label="",style="solid", color="blue", weight=3]; 831[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];191 -> 831[label="",style="solid", color="blue", weight=9]; 831 -> 338[label="",style="solid", color="blue", weight=3]; 832[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];191 -> 832[label="",style="solid", color="blue", weight=9]; 832 -> 339[label="",style="solid", color="blue", weight=3]; 833[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];191 -> 833[label="",style="solid", color="blue", weight=9]; 833 -> 340[label="",style="solid", color="blue", weight=3]; 834[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];191 -> 834[label="",style="solid", color="blue", weight=9]; 834 -> 341[label="",style="solid", color="blue", weight=3]; 835[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];191 -> 835[label="",style="solid", color="blue", weight=9]; 835 -> 342[label="",style="solid", color="blue", weight=3]; 836[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];191 -> 836[label="",style="solid", color="blue", weight=9]; 836 -> 343[label="",style="solid", color="blue", weight=3]; 192[label="primEqNat xy300 xy400",fontsize=16,color="burlywood",shape="triangle"];837[label="xy300/Succ xy3000",fontsize=10,color="white",style="solid",shape="box"];192 -> 837[label="",style="solid", color="burlywood", weight=9]; 837 -> 344[label="",style="solid", color="burlywood", weight=3]; 838[label="xy300/Zero",fontsize=10,color="white",style="solid",shape="box"];192 -> 838[label="",style="solid", color="burlywood", weight=9]; 838 -> 345[label="",style="solid", color="burlywood", weight=3]; 193 -> 25[label="",style="dashed", color="red", weight=0]; 193[label="xy300 * xy401 == xy301 * xy400",fontsize=16,color="magenta"];193 -> 346[label="",style="dashed", color="magenta", weight=3]; 193 -> 347[label="",style="dashed", color="magenta", weight=3]; 194 -> 16[label="",style="dashed", color="red", weight=0]; 194[label="xy301 == xy401 && xy302 == xy402",fontsize=16,color="magenta"];194 -> 348[label="",style="dashed", color="magenta", weight=3]; 194 -> 349[label="",style="dashed", color="magenta", weight=3]; 195[label="xy300 == xy400",fontsize=16,color="blue",shape="box"];839[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];195 -> 839[label="",style="solid", color="blue", weight=9]; 839 -> 350[label="",style="solid", color="blue", weight=3]; 840[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];195 -> 840[label="",style="solid", color="blue", weight=9]; 840 -> 351[label="",style="solid", color="blue", weight=3]; 841[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];195 -> 841[label="",style="solid", color="blue", weight=9]; 841 -> 352[label="",style="solid", color="blue", weight=3]; 842[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];195 -> 842[label="",style="solid", color="blue", weight=9]; 842 -> 353[label="",style="solid", color="blue", weight=3]; 843[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];195 -> 843[label="",style="solid", color="blue", weight=9]; 843 -> 354[label="",style="solid", color="blue", weight=3]; 844[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];195 -> 844[label="",style="solid", color="blue", weight=9]; 844 -> 355[label="",style="solid", color="blue", weight=3]; 845[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];195 -> 845[label="",style="solid", color="blue", weight=9]; 845 -> 356[label="",style="solid", color="blue", weight=3]; 846[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];195 -> 846[label="",style="solid", color="blue", weight=9]; 846 -> 357[label="",style="solid", color="blue", weight=3]; 847[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];195 -> 847[label="",style="solid", color="blue", weight=9]; 847 -> 358[label="",style="solid", color="blue", weight=3]; 848[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];195 -> 848[label="",style="solid", color="blue", weight=9]; 848 -> 359[label="",style="solid", color="blue", weight=3]; 849[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];195 -> 849[label="",style="solid", color="blue", weight=9]; 849 -> 360[label="",style="solid", color="blue", weight=3]; 850[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];195 -> 850[label="",style="solid", color="blue", weight=9]; 850 -> 361[label="",style="solid", color="blue", weight=3]; 851[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];195 -> 851[label="",style="solid", color="blue", weight=9]; 851 -> 362[label="",style="solid", color="blue", weight=3]; 852[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];195 -> 852[label="",style="solid", color="blue", weight=9]; 852 -> 363[label="",style="solid", color="blue", weight=3]; 196[label="xy400",fontsize=16,color="green",shape="box"];197[label="xy300",fontsize=16,color="green",shape="box"];198[label="xy400",fontsize=16,color="green",shape="box"];199[label="xy300",fontsize=16,color="green",shape="box"];200[label="xy400",fontsize=16,color="green",shape="box"];201[label="xy300",fontsize=16,color="green",shape="box"];202[label="xy400",fontsize=16,color="green",shape="box"];203[label="xy300",fontsize=16,color="green",shape="box"];204[label="xy400",fontsize=16,color="green",shape="box"];205[label="xy300",fontsize=16,color="green",shape="box"];206[label="xy400",fontsize=16,color="green",shape="box"];207[label="xy300",fontsize=16,color="green",shape="box"];208[label="xy400",fontsize=16,color="green",shape="box"];209[label="xy300",fontsize=16,color="green",shape="box"];210[label="xy400",fontsize=16,color="green",shape="box"];211[label="xy300",fontsize=16,color="green",shape="box"];212[label="xy400",fontsize=16,color="green",shape="box"];213[label="xy300",fontsize=16,color="green",shape="box"];214[label="xy400",fontsize=16,color="green",shape="box"];215[label="xy300",fontsize=16,color="green",shape="box"];216[label="xy400",fontsize=16,color="green",shape="box"];217[label="xy300",fontsize=16,color="green",shape="box"];218[label="xy400",fontsize=16,color="green",shape="box"];219[label="xy300",fontsize=16,color="green",shape="box"];220[label="xy400",fontsize=16,color="green",shape="box"];221[label="xy300",fontsize=16,color="green",shape="box"];222[label="xy400",fontsize=16,color="green",shape="box"];223[label="xy300",fontsize=16,color="green",shape="box"];224[label="xy400",fontsize=16,color="green",shape="box"];225[label="xy300",fontsize=16,color="green",shape="box"];226[label="xy400",fontsize=16,color="green",shape="box"];227[label="xy300",fontsize=16,color="green",shape="box"];228[label="xy400",fontsize=16,color="green",shape="box"];229[label="xy300",fontsize=16,color="green",shape="box"];230[label="xy400",fontsize=16,color="green",shape="box"];231[label="xy300",fontsize=16,color="green",shape="box"];232[label="xy400",fontsize=16,color="green",shape="box"];233[label="xy300",fontsize=16,color="green",shape="box"];234[label="xy400",fontsize=16,color="green",shape="box"];235[label="xy300",fontsize=16,color="green",shape="box"];236[label="xy400",fontsize=16,color="green",shape="box"];237[label="xy300",fontsize=16,color="green",shape="box"];238[label="xy400",fontsize=16,color="green",shape="box"];239[label="xy300",fontsize=16,color="green",shape="box"];240[label="xy400",fontsize=16,color="green",shape="box"];241[label="xy300",fontsize=16,color="green",shape="box"];242[label="xy400",fontsize=16,color="green",shape="box"];243[label="xy300",fontsize=16,color="green",shape="box"];244[label="xy400",fontsize=16,color="green",shape="box"];245[label="xy300",fontsize=16,color="green",shape="box"];246[label="xy400",fontsize=16,color="green",shape="box"];247[label="xy300",fontsize=16,color="green",shape="box"];248[label="xy400",fontsize=16,color="green",shape="box"];249[label="xy300",fontsize=16,color="green",shape="box"];250[label="xy400",fontsize=16,color="green",shape="box"];251[label="xy300",fontsize=16,color="green",shape="box"];252[label="xy401",fontsize=16,color="green",shape="box"];253[label="xy301",fontsize=16,color="green",shape="box"];254 -> 23[label="",style="dashed", color="red", weight=0]; 254[label="xy300 == xy400",fontsize=16,color="magenta"];254 -> 364[label="",style="dashed", color="magenta", weight=3]; 254 -> 365[label="",style="dashed", color="magenta", weight=3]; 255 -> 24[label="",style="dashed", color="red", weight=0]; 255[label="xy300 == xy400",fontsize=16,color="magenta"];255 -> 366[label="",style="dashed", color="magenta", weight=3]; 255 -> 367[label="",style="dashed", color="magenta", weight=3]; 256 -> 25[label="",style="dashed", color="red", weight=0]; 256[label="xy300 == xy400",fontsize=16,color="magenta"];256 -> 368[label="",style="dashed", color="magenta", weight=3]; 256 -> 369[label="",style="dashed", color="magenta", weight=3]; 257 -> 26[label="",style="dashed", color="red", weight=0]; 257[label="xy300 == xy400",fontsize=16,color="magenta"];257 -> 370[label="",style="dashed", color="magenta", weight=3]; 257 -> 371[label="",style="dashed", color="magenta", weight=3]; 258 -> 27[label="",style="dashed", color="red", weight=0]; 258[label="xy300 == xy400",fontsize=16,color="magenta"];258 -> 372[label="",style="dashed", color="magenta", weight=3]; 258 -> 373[label="",style="dashed", color="magenta", weight=3]; 259 -> 28[label="",style="dashed", color="red", weight=0]; 259[label="xy300 == xy400",fontsize=16,color="magenta"];259 -> 374[label="",style="dashed", color="magenta", weight=3]; 259 -> 375[label="",style="dashed", color="magenta", weight=3]; 260 -> 29[label="",style="dashed", color="red", weight=0]; 260[label="xy300 == xy400",fontsize=16,color="magenta"];260 -> 376[label="",style="dashed", color="magenta", weight=3]; 260 -> 377[label="",style="dashed", color="magenta", weight=3]; 261 -> 30[label="",style="dashed", color="red", weight=0]; 261[label="xy300 == xy400",fontsize=16,color="magenta"];261 -> 378[label="",style="dashed", color="magenta", weight=3]; 261 -> 379[label="",style="dashed", color="magenta", weight=3]; 262 -> 31[label="",style="dashed", color="red", weight=0]; 262[label="xy300 == xy400",fontsize=16,color="magenta"];262 -> 380[label="",style="dashed", color="magenta", weight=3]; 262 -> 381[label="",style="dashed", color="magenta", weight=3]; 263 -> 32[label="",style="dashed", color="red", weight=0]; 263[label="xy300 == xy400",fontsize=16,color="magenta"];263 -> 382[label="",style="dashed", color="magenta", weight=3]; 263 -> 383[label="",style="dashed", color="magenta", weight=3]; 264 -> 33[label="",style="dashed", color="red", weight=0]; 264[label="xy300 == xy400",fontsize=16,color="magenta"];264 -> 384[label="",style="dashed", color="magenta", weight=3]; 264 -> 385[label="",style="dashed", color="magenta", weight=3]; 265 -> 34[label="",style="dashed", color="red", weight=0]; 265[label="xy300 == xy400",fontsize=16,color="magenta"];265 -> 386[label="",style="dashed", color="magenta", weight=3]; 265 -> 387[label="",style="dashed", color="magenta", weight=3]; 266 -> 35[label="",style="dashed", color="red", weight=0]; 266[label="xy300 == xy400",fontsize=16,color="magenta"];266 -> 388[label="",style="dashed", color="magenta", weight=3]; 266 -> 389[label="",style="dashed", color="magenta", weight=3]; 267 -> 36[label="",style="dashed", color="red", weight=0]; 267[label="xy300 == xy400",fontsize=16,color="magenta"];267 -> 390[label="",style="dashed", color="magenta", weight=3]; 267 -> 391[label="",style="dashed", color="magenta", weight=3]; 268[label="primEqInt (Pos (Succ xy3000)) (Pos (Succ xy4000))",fontsize=16,color="black",shape="box"];268 -> 392[label="",style="solid", color="black", weight=3]; 269[label="primEqInt (Pos (Succ xy3000)) (Pos Zero)",fontsize=16,color="black",shape="box"];269 -> 393[label="",style="solid", color="black", weight=3]; 270[label="False",fontsize=16,color="green",shape="box"];271[label="primEqInt (Pos Zero) (Pos (Succ xy4000))",fontsize=16,color="black",shape="box"];271 -> 394[label="",style="solid", color="black", weight=3]; 272[label="primEqInt (Pos Zero) (Pos Zero)",fontsize=16,color="black",shape="box"];272 -> 395[label="",style="solid", color="black", weight=3]; 273[label="primEqInt (Pos Zero) (Neg (Succ xy4000))",fontsize=16,color="black",shape="box"];273 -> 396[label="",style="solid", color="black", weight=3]; 274[label="primEqInt (Pos Zero) (Neg Zero)",fontsize=16,color="black",shape="box"];274 -> 397[label="",style="solid", color="black", weight=3]; 275[label="False",fontsize=16,color="green",shape="box"];276[label="primEqInt (Neg (Succ xy3000)) (Neg (Succ xy4000))",fontsize=16,color="black",shape="box"];276 -> 398[label="",style="solid", color="black", weight=3]; 277[label="primEqInt (Neg (Succ xy3000)) (Neg Zero)",fontsize=16,color="black",shape="box"];277 -> 399[label="",style="solid", color="black", weight=3]; 278[label="primEqInt (Neg Zero) (Pos (Succ xy4000))",fontsize=16,color="black",shape="box"];278 -> 400[label="",style="solid", color="black", weight=3]; 279[label="primEqInt (Neg Zero) (Pos Zero)",fontsize=16,color="black",shape="box"];279 -> 401[label="",style="solid", color="black", weight=3]; 280[label="primEqInt (Neg Zero) (Neg (Succ xy4000))",fontsize=16,color="black",shape="box"];280 -> 402[label="",style="solid", color="black", weight=3]; 281[label="primEqInt (Neg Zero) (Neg Zero)",fontsize=16,color="black",shape="box"];281 -> 403[label="",style="solid", color="black", weight=3]; 282[label="xy400",fontsize=16,color="green",shape="box"];283[label="xy300",fontsize=16,color="green",shape="box"];284[label="xy400",fontsize=16,color="green",shape="box"];285[label="xy300",fontsize=16,color="green",shape="box"];286[label="xy400",fontsize=16,color="green",shape="box"];287[label="xy300",fontsize=16,color="green",shape="box"];288[label="xy400",fontsize=16,color="green",shape="box"];289[label="xy300",fontsize=16,color="green",shape="box"];290[label="xy400",fontsize=16,color="green",shape="box"];291[label="xy300",fontsize=16,color="green",shape="box"];292[label="xy400",fontsize=16,color="green",shape="box"];293[label="xy300",fontsize=16,color="green",shape="box"];294[label="xy400",fontsize=16,color="green",shape="box"];295[label="xy300",fontsize=16,color="green",shape="box"];296[label="xy400",fontsize=16,color="green",shape="box"];297[label="xy300",fontsize=16,color="green",shape="box"];298[label="xy400",fontsize=16,color="green",shape="box"];299[label="xy300",fontsize=16,color="green",shape="box"];300[label="xy400",fontsize=16,color="green",shape="box"];301[label="xy300",fontsize=16,color="green",shape="box"];302[label="xy400",fontsize=16,color="green",shape="box"];303[label="xy300",fontsize=16,color="green",shape="box"];304[label="xy400",fontsize=16,color="green",shape="box"];305[label="xy300",fontsize=16,color="green",shape="box"];306[label="xy400",fontsize=16,color="green",shape="box"];307[label="xy300",fontsize=16,color="green",shape="box"];308[label="xy400",fontsize=16,color="green",shape="box"];309[label="xy300",fontsize=16,color="green",shape="box"];310 -> 25[label="",style="dashed", color="red", weight=0]; 310[label="xy301 == xy401",fontsize=16,color="magenta"];310 -> 404[label="",style="dashed", color="magenta", weight=3]; 310 -> 405[label="",style="dashed", color="magenta", weight=3]; 311 -> 26[label="",style="dashed", color="red", weight=0]; 311[label="xy301 == xy401",fontsize=16,color="magenta"];311 -> 406[label="",style="dashed", color="magenta", weight=3]; 311 -> 407[label="",style="dashed", color="magenta", weight=3]; 312 -> 25[label="",style="dashed", color="red", weight=0]; 312[label="xy300 == xy400",fontsize=16,color="magenta"];312 -> 408[label="",style="dashed", color="magenta", weight=3]; 312 -> 409[label="",style="dashed", color="magenta", weight=3]; 313 -> 26[label="",style="dashed", color="red", weight=0]; 313[label="xy300 == xy400",fontsize=16,color="magenta"];313 -> 410[label="",style="dashed", color="magenta", weight=3]; 313 -> 411[label="",style="dashed", color="magenta", weight=3]; 314[label="xy301 * xy400",fontsize=16,color="black",shape="triangle"];314 -> 412[label="",style="solid", color="black", weight=3]; 315 -> 314[label="",style="dashed", color="red", weight=0]; 315[label="xy300 * xy401",fontsize=16,color="magenta"];315 -> 413[label="",style="dashed", color="magenta", weight=3]; 315 -> 414[label="",style="dashed", color="magenta", weight=3]; 316 -> 23[label="",style="dashed", color="red", weight=0]; 316[label="xy301 == xy401",fontsize=16,color="magenta"];316 -> 415[label="",style="dashed", color="magenta", weight=3]; 316 -> 416[label="",style="dashed", color="magenta", weight=3]; 317 -> 24[label="",style="dashed", color="red", weight=0]; 317[label="xy301 == xy401",fontsize=16,color="magenta"];317 -> 417[label="",style="dashed", color="magenta", weight=3]; 317 -> 418[label="",style="dashed", color="magenta", weight=3]; 318 -> 25[label="",style="dashed", color="red", weight=0]; 318[label="xy301 == xy401",fontsize=16,color="magenta"];318 -> 419[label="",style="dashed", color="magenta", weight=3]; 318 -> 420[label="",style="dashed", color="magenta", weight=3]; 319 -> 26[label="",style="dashed", color="red", weight=0]; 319[label="xy301 == xy401",fontsize=16,color="magenta"];319 -> 421[label="",style="dashed", color="magenta", weight=3]; 319 -> 422[label="",style="dashed", color="magenta", weight=3]; 320 -> 27[label="",style="dashed", color="red", weight=0]; 320[label="xy301 == xy401",fontsize=16,color="magenta"];320 -> 423[label="",style="dashed", color="magenta", weight=3]; 320 -> 424[label="",style="dashed", color="magenta", weight=3]; 321 -> 28[label="",style="dashed", color="red", weight=0]; 321[label="xy301 == xy401",fontsize=16,color="magenta"];321 -> 425[label="",style="dashed", color="magenta", weight=3]; 321 -> 426[label="",style="dashed", color="magenta", weight=3]; 322 -> 29[label="",style="dashed", color="red", weight=0]; 322[label="xy301 == xy401",fontsize=16,color="magenta"];322 -> 427[label="",style="dashed", color="magenta", weight=3]; 322 -> 428[label="",style="dashed", color="magenta", weight=3]; 323 -> 30[label="",style="dashed", color="red", weight=0]; 323[label="xy301 == xy401",fontsize=16,color="magenta"];323 -> 429[label="",style="dashed", color="magenta", weight=3]; 323 -> 430[label="",style="dashed", color="magenta", weight=3]; 324 -> 31[label="",style="dashed", color="red", weight=0]; 324[label="xy301 == xy401",fontsize=16,color="magenta"];324 -> 431[label="",style="dashed", color="magenta", weight=3]; 324 -> 432[label="",style="dashed", color="magenta", weight=3]; 325 -> 32[label="",style="dashed", color="red", weight=0]; 325[label="xy301 == xy401",fontsize=16,color="magenta"];325 -> 433[label="",style="dashed", color="magenta", weight=3]; 325 -> 434[label="",style="dashed", color="magenta", weight=3]; 326 -> 33[label="",style="dashed", color="red", weight=0]; 326[label="xy301 == xy401",fontsize=16,color="magenta"];326 -> 435[label="",style="dashed", color="magenta", weight=3]; 326 -> 436[label="",style="dashed", color="magenta", weight=3]; 327 -> 34[label="",style="dashed", color="red", weight=0]; 327[label="xy301 == xy401",fontsize=16,color="magenta"];327 -> 437[label="",style="dashed", color="magenta", weight=3]; 327 -> 438[label="",style="dashed", color="magenta", weight=3]; 328 -> 35[label="",style="dashed", color="red", weight=0]; 328[label="xy301 == xy401",fontsize=16,color="magenta"];328 -> 439[label="",style="dashed", color="magenta", weight=3]; 328 -> 440[label="",style="dashed", color="magenta", weight=3]; 329 -> 36[label="",style="dashed", color="red", weight=0]; 329[label="xy301 == xy401",fontsize=16,color="magenta"];329 -> 441[label="",style="dashed", color="magenta", weight=3]; 329 -> 442[label="",style="dashed", color="magenta", weight=3]; 330 -> 23[label="",style="dashed", color="red", weight=0]; 330[label="xy300 == xy400",fontsize=16,color="magenta"];330 -> 443[label="",style="dashed", color="magenta", weight=3]; 330 -> 444[label="",style="dashed", color="magenta", weight=3]; 331 -> 24[label="",style="dashed", color="red", weight=0]; 331[label="xy300 == xy400",fontsize=16,color="magenta"];331 -> 445[label="",style="dashed", color="magenta", weight=3]; 331 -> 446[label="",style="dashed", color="magenta", weight=3]; 332 -> 25[label="",style="dashed", color="red", weight=0]; 332[label="xy300 == xy400",fontsize=16,color="magenta"];332 -> 447[label="",style="dashed", color="magenta", weight=3]; 332 -> 448[label="",style="dashed", color="magenta", weight=3]; 333 -> 26[label="",style="dashed", color="red", weight=0]; 333[label="xy300 == xy400",fontsize=16,color="magenta"];333 -> 449[label="",style="dashed", color="magenta", weight=3]; 333 -> 450[label="",style="dashed", color="magenta", weight=3]; 334 -> 27[label="",style="dashed", color="red", weight=0]; 334[label="xy300 == xy400",fontsize=16,color="magenta"];334 -> 451[label="",style="dashed", color="magenta", weight=3]; 334 -> 452[label="",style="dashed", color="magenta", weight=3]; 335 -> 28[label="",style="dashed", color="red", weight=0]; 335[label="xy300 == xy400",fontsize=16,color="magenta"];335 -> 453[label="",style="dashed", color="magenta", weight=3]; 335 -> 454[label="",style="dashed", color="magenta", weight=3]; 336 -> 29[label="",style="dashed", color="red", weight=0]; 336[label="xy300 == xy400",fontsize=16,color="magenta"];336 -> 455[label="",style="dashed", color="magenta", weight=3]; 336 -> 456[label="",style="dashed", color="magenta", weight=3]; 337 -> 30[label="",style="dashed", color="red", weight=0]; 337[label="xy300 == xy400",fontsize=16,color="magenta"];337 -> 457[label="",style="dashed", color="magenta", weight=3]; 337 -> 458[label="",style="dashed", color="magenta", weight=3]; 338 -> 31[label="",style="dashed", color="red", weight=0]; 338[label="xy300 == xy400",fontsize=16,color="magenta"];338 -> 459[label="",style="dashed", color="magenta", weight=3]; 338 -> 460[label="",style="dashed", color="magenta", weight=3]; 339 -> 32[label="",style="dashed", color="red", weight=0]; 339[label="xy300 == xy400",fontsize=16,color="magenta"];339 -> 461[label="",style="dashed", color="magenta", weight=3]; 339 -> 462[label="",style="dashed", color="magenta", weight=3]; 340 -> 33[label="",style="dashed", color="red", weight=0]; 340[label="xy300 == xy400",fontsize=16,color="magenta"];340 -> 463[label="",style="dashed", color="magenta", weight=3]; 340 -> 464[label="",style="dashed", color="magenta", weight=3]; 341 -> 34[label="",style="dashed", color="red", weight=0]; 341[label="xy300 == xy400",fontsize=16,color="magenta"];341 -> 465[label="",style="dashed", color="magenta", weight=3]; 341 -> 466[label="",style="dashed", color="magenta", weight=3]; 342 -> 35[label="",style="dashed", color="red", weight=0]; 342[label="xy300 == xy400",fontsize=16,color="magenta"];342 -> 467[label="",style="dashed", color="magenta", weight=3]; 342 -> 468[label="",style="dashed", color="magenta", weight=3]; 343 -> 36[label="",style="dashed", color="red", weight=0]; 343[label="xy300 == xy400",fontsize=16,color="magenta"];343 -> 469[label="",style="dashed", color="magenta", weight=3]; 343 -> 470[label="",style="dashed", color="magenta", weight=3]; 344[label="primEqNat (Succ xy3000) xy400",fontsize=16,color="burlywood",shape="box"];853[label="xy400/Succ xy4000",fontsize=10,color="white",style="solid",shape="box"];344 -> 853[label="",style="solid", color="burlywood", weight=9]; 853 -> 471[label="",style="solid", color="burlywood", weight=3]; 854[label="xy400/Zero",fontsize=10,color="white",style="solid",shape="box"];344 -> 854[label="",style="solid", color="burlywood", weight=9]; 854 -> 472[label="",style="solid", color="burlywood", weight=3]; 345[label="primEqNat Zero xy400",fontsize=16,color="burlywood",shape="box"];855[label="xy400/Succ xy4000",fontsize=10,color="white",style="solid",shape="box"];345 -> 855[label="",style="solid", color="burlywood", weight=9]; 855 -> 473[label="",style="solid", color="burlywood", weight=3]; 856[label="xy400/Zero",fontsize=10,color="white",style="solid",shape="box"];345 -> 856[label="",style="solid", color="burlywood", weight=9]; 856 -> 474[label="",style="solid", color="burlywood", weight=3]; 346 -> 314[label="",style="dashed", color="red", weight=0]; 346[label="xy301 * xy400",fontsize=16,color="magenta"];346 -> 475[label="",style="dashed", color="magenta", weight=3]; 346 -> 476[label="",style="dashed", color="magenta", weight=3]; 347 -> 314[label="",style="dashed", color="red", weight=0]; 347[label="xy300 * xy401",fontsize=16,color="magenta"];347 -> 477[label="",style="dashed", color="magenta", weight=3]; 347 -> 478[label="",style="dashed", color="magenta", weight=3]; 348[label="xy302 == xy402",fontsize=16,color="blue",shape="box"];857[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];348 -> 857[label="",style="solid", color="blue", weight=9]; 857 -> 479[label="",style="solid", color="blue", weight=3]; 858[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];348 -> 858[label="",style="solid", color="blue", weight=9]; 858 -> 480[label="",style="solid", color="blue", weight=3]; 859[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];348 -> 859[label="",style="solid", color="blue", weight=9]; 859 -> 481[label="",style="solid", color="blue", weight=3]; 860[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];348 -> 860[label="",style="solid", color="blue", weight=9]; 860 -> 482[label="",style="solid", color="blue", weight=3]; 861[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];348 -> 861[label="",style="solid", color="blue", weight=9]; 861 -> 483[label="",style="solid", color="blue", weight=3]; 862[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];348 -> 862[label="",style="solid", color="blue", weight=9]; 862 -> 484[label="",style="solid", color="blue", weight=3]; 863[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];348 -> 863[label="",style="solid", color="blue", weight=9]; 863 -> 485[label="",style="solid", color="blue", weight=3]; 864[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];348 -> 864[label="",style="solid", color="blue", weight=9]; 864 -> 486[label="",style="solid", color="blue", weight=3]; 865[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];348 -> 865[label="",style="solid", color="blue", weight=9]; 865 -> 487[label="",style="solid", color="blue", weight=3]; 866[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];348 -> 866[label="",style="solid", color="blue", weight=9]; 866 -> 488[label="",style="solid", color="blue", weight=3]; 867[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];348 -> 867[label="",style="solid", color="blue", weight=9]; 867 -> 489[label="",style="solid", color="blue", weight=3]; 868[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];348 -> 868[label="",style="solid", color="blue", weight=9]; 868 -> 490[label="",style="solid", color="blue", weight=3]; 869[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];348 -> 869[label="",style="solid", color="blue", weight=9]; 869 -> 491[label="",style="solid", color="blue", weight=3]; 870[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];348 -> 870[label="",style="solid", color="blue", weight=9]; 870 -> 492[label="",style="solid", color="blue", weight=3]; 349[label="xy301 == xy401",fontsize=16,color="blue",shape="box"];871[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];349 -> 871[label="",style="solid", color="blue", weight=9]; 871 -> 493[label="",style="solid", color="blue", weight=3]; 872[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];349 -> 872[label="",style="solid", color="blue", weight=9]; 872 -> 494[label="",style="solid", color="blue", weight=3]; 873[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];349 -> 873[label="",style="solid", color="blue", weight=9]; 873 -> 495[label="",style="solid", color="blue", weight=3]; 874[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];349 -> 874[label="",style="solid", color="blue", weight=9]; 874 -> 496[label="",style="solid", color="blue", weight=3]; 875[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];349 -> 875[label="",style="solid", color="blue", weight=9]; 875 -> 497[label="",style="solid", color="blue", weight=3]; 876[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];349 -> 876[label="",style="solid", color="blue", weight=9]; 876 -> 498[label="",style="solid", color="blue", weight=3]; 877[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];349 -> 877[label="",style="solid", color="blue", weight=9]; 877 -> 499[label="",style="solid", color="blue", weight=3]; 878[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];349 -> 878[label="",style="solid", color="blue", weight=9]; 878 -> 500[label="",style="solid", color="blue", weight=3]; 879[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];349 -> 879[label="",style="solid", color="blue", weight=9]; 879 -> 501[label="",style="solid", color="blue", weight=3]; 880[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];349 -> 880[label="",style="solid", color="blue", weight=9]; 880 -> 502[label="",style="solid", color="blue", weight=3]; 881[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];349 -> 881[label="",style="solid", color="blue", weight=9]; 881 -> 503[label="",style="solid", color="blue", weight=3]; 882[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];349 -> 882[label="",style="solid", color="blue", weight=9]; 882 -> 504[label="",style="solid", color="blue", weight=3]; 883[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];349 -> 883[label="",style="solid", color="blue", weight=9]; 883 -> 505[label="",style="solid", color="blue", weight=3]; 884[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];349 -> 884[label="",style="solid", color="blue", weight=9]; 884 -> 506[label="",style="solid", color="blue", weight=3]; 350 -> 23[label="",style="dashed", color="red", weight=0]; 350[label="xy300 == xy400",fontsize=16,color="magenta"];350 -> 507[label="",style="dashed", color="magenta", weight=3]; 350 -> 508[label="",style="dashed", color="magenta", weight=3]; 351 -> 24[label="",style="dashed", color="red", weight=0]; 351[label="xy300 == xy400",fontsize=16,color="magenta"];351 -> 509[label="",style="dashed", color="magenta", weight=3]; 351 -> 510[label="",style="dashed", color="magenta", weight=3]; 352 -> 25[label="",style="dashed", color="red", weight=0]; 352[label="xy300 == xy400",fontsize=16,color="magenta"];352 -> 511[label="",style="dashed", color="magenta", weight=3]; 352 -> 512[label="",style="dashed", color="magenta", weight=3]; 353 -> 26[label="",style="dashed", color="red", weight=0]; 353[label="xy300 == xy400",fontsize=16,color="magenta"];353 -> 513[label="",style="dashed", color="magenta", weight=3]; 353 -> 514[label="",style="dashed", color="magenta", weight=3]; 354 -> 27[label="",style="dashed", color="red", weight=0]; 354[label="xy300 == xy400",fontsize=16,color="magenta"];354 -> 515[label="",style="dashed", color="magenta", weight=3]; 354 -> 516[label="",style="dashed", color="magenta", weight=3]; 355 -> 28[label="",style="dashed", color="red", weight=0]; 355[label="xy300 == xy400",fontsize=16,color="magenta"];355 -> 517[label="",style="dashed", color="magenta", weight=3]; 355 -> 518[label="",style="dashed", color="magenta", weight=3]; 356 -> 29[label="",style="dashed", color="red", weight=0]; 356[label="xy300 == xy400",fontsize=16,color="magenta"];356 -> 519[label="",style="dashed", color="magenta", weight=3]; 356 -> 520[label="",style="dashed", color="magenta", weight=3]; 357 -> 30[label="",style="dashed", color="red", weight=0]; 357[label="xy300 == xy400",fontsize=16,color="magenta"];357 -> 521[label="",style="dashed", color="magenta", weight=3]; 357 -> 522[label="",style="dashed", color="magenta", weight=3]; 358 -> 31[label="",style="dashed", color="red", weight=0]; 358[label="xy300 == xy400",fontsize=16,color="magenta"];358 -> 523[label="",style="dashed", color="magenta", weight=3]; 358 -> 524[label="",style="dashed", color="magenta", weight=3]; 359 -> 32[label="",style="dashed", color="red", weight=0]; 359[label="xy300 == xy400",fontsize=16,color="magenta"];359 -> 525[label="",style="dashed", color="magenta", weight=3]; 359 -> 526[label="",style="dashed", color="magenta", weight=3]; 360 -> 33[label="",style="dashed", color="red", weight=0]; 360[label="xy300 == xy400",fontsize=16,color="magenta"];360 -> 527[label="",style="dashed", color="magenta", weight=3]; 360 -> 528[label="",style="dashed", color="magenta", weight=3]; 361 -> 34[label="",style="dashed", color="red", weight=0]; 361[label="xy300 == xy400",fontsize=16,color="magenta"];361 -> 529[label="",style="dashed", color="magenta", weight=3]; 361 -> 530[label="",style="dashed", color="magenta", weight=3]; 362 -> 35[label="",style="dashed", color="red", weight=0]; 362[label="xy300 == xy400",fontsize=16,color="magenta"];362 -> 531[label="",style="dashed", color="magenta", weight=3]; 362 -> 532[label="",style="dashed", color="magenta", weight=3]; 363 -> 36[label="",style="dashed", color="red", weight=0]; 363[label="xy300 == xy400",fontsize=16,color="magenta"];363 -> 533[label="",style="dashed", color="magenta", weight=3]; 363 -> 534[label="",style="dashed", color="magenta", weight=3]; 364[label="xy400",fontsize=16,color="green",shape="box"];365[label="xy300",fontsize=16,color="green",shape="box"];366[label="xy400",fontsize=16,color="green",shape="box"];367[label="xy300",fontsize=16,color="green",shape="box"];368[label="xy400",fontsize=16,color="green",shape="box"];369[label="xy300",fontsize=16,color="green",shape="box"];370[label="xy400",fontsize=16,color="green",shape="box"];371[label="xy300",fontsize=16,color="green",shape="box"];372[label="xy400",fontsize=16,color="green",shape="box"];373[label="xy300",fontsize=16,color="green",shape="box"];374[label="xy400",fontsize=16,color="green",shape="box"];375[label="xy300",fontsize=16,color="green",shape="box"];376[label="xy400",fontsize=16,color="green",shape="box"];377[label="xy300",fontsize=16,color="green",shape="box"];378[label="xy400",fontsize=16,color="green",shape="box"];379[label="xy300",fontsize=16,color="green",shape="box"];380[label="xy400",fontsize=16,color="green",shape="box"];381[label="xy300",fontsize=16,color="green",shape="box"];382[label="xy400",fontsize=16,color="green",shape="box"];383[label="xy300",fontsize=16,color="green",shape="box"];384[label="xy400",fontsize=16,color="green",shape="box"];385[label="xy300",fontsize=16,color="green",shape="box"];386[label="xy400",fontsize=16,color="green",shape="box"];387[label="xy300",fontsize=16,color="green",shape="box"];388[label="xy400",fontsize=16,color="green",shape="box"];389[label="xy300",fontsize=16,color="green",shape="box"];390[label="xy400",fontsize=16,color="green",shape="box"];391[label="xy300",fontsize=16,color="green",shape="box"];392 -> 192[label="",style="dashed", color="red", weight=0]; 392[label="primEqNat xy3000 xy4000",fontsize=16,color="magenta"];392 -> 535[label="",style="dashed", color="magenta", weight=3]; 392 -> 536[label="",style="dashed", color="magenta", weight=3]; 393[label="False",fontsize=16,color="green",shape="box"];394[label="False",fontsize=16,color="green",shape="box"];395[label="True",fontsize=16,color="green",shape="box"];396[label="False",fontsize=16,color="green",shape="box"];397[label="True",fontsize=16,color="green",shape="box"];398 -> 192[label="",style="dashed", color="red", weight=0]; 398[label="primEqNat xy3000 xy4000",fontsize=16,color="magenta"];398 -> 537[label="",style="dashed", color="magenta", weight=3]; 398 -> 538[label="",style="dashed", color="magenta", weight=3]; 399[label="False",fontsize=16,color="green",shape="box"];400[label="False",fontsize=16,color="green",shape="box"];401[label="True",fontsize=16,color="green",shape="box"];402[label="False",fontsize=16,color="green",shape="box"];403[label="True",fontsize=16,color="green",shape="box"];404[label="xy401",fontsize=16,color="green",shape="box"];405[label="xy301",fontsize=16,color="green",shape="box"];406[label="xy401",fontsize=16,color="green",shape="box"];407[label="xy301",fontsize=16,color="green",shape="box"];408[label="xy400",fontsize=16,color="green",shape="box"];409[label="xy300",fontsize=16,color="green",shape="box"];410[label="xy400",fontsize=16,color="green",shape="box"];411[label="xy300",fontsize=16,color="green",shape="box"];412[label="primMulInt xy301 xy400",fontsize=16,color="burlywood",shape="box"];885[label="xy301/Pos xy3010",fontsize=10,color="white",style="solid",shape="box"];412 -> 885[label="",style="solid", color="burlywood", weight=9]; 885 -> 539[label="",style="solid", color="burlywood", weight=3]; 886[label="xy301/Neg xy3010",fontsize=10,color="white",style="solid",shape="box"];412 -> 886[label="",style="solid", color="burlywood", weight=9]; 886 -> 540[label="",style="solid", color="burlywood", weight=3]; 413[label="xy401",fontsize=16,color="green",shape="box"];414[label="xy300",fontsize=16,color="green",shape="box"];415[label="xy401",fontsize=16,color="green",shape="box"];416[label="xy301",fontsize=16,color="green",shape="box"];417[label="xy401",fontsize=16,color="green",shape="box"];418[label="xy301",fontsize=16,color="green",shape="box"];419[label="xy401",fontsize=16,color="green",shape="box"];420[label="xy301",fontsize=16,color="green",shape="box"];421[label="xy401",fontsize=16,color="green",shape="box"];422[label="xy301",fontsize=16,color="green",shape="box"];423[label="xy401",fontsize=16,color="green",shape="box"];424[label="xy301",fontsize=16,color="green",shape="box"];425[label="xy401",fontsize=16,color="green",shape="box"];426[label="xy301",fontsize=16,color="green",shape="box"];427[label="xy401",fontsize=16,color="green",shape="box"];428[label="xy301",fontsize=16,color="green",shape="box"];429[label="xy401",fontsize=16,color="green",shape="box"];430[label="xy301",fontsize=16,color="green",shape="box"];431[label="xy401",fontsize=16,color="green",shape="box"];432[label="xy301",fontsize=16,color="green",shape="box"];433[label="xy401",fontsize=16,color="green",shape="box"];434[label="xy301",fontsize=16,color="green",shape="box"];435[label="xy401",fontsize=16,color="green",shape="box"];436[label="xy301",fontsize=16,color="green",shape="box"];437[label="xy401",fontsize=16,color="green",shape="box"];438[label="xy301",fontsize=16,color="green",shape="box"];439[label="xy401",fontsize=16,color="green",shape="box"];440[label="xy301",fontsize=16,color="green",shape="box"];441[label="xy401",fontsize=16,color="green",shape="box"];442[label="xy301",fontsize=16,color="green",shape="box"];443[label="xy400",fontsize=16,color="green",shape="box"];444[label="xy300",fontsize=16,color="green",shape="box"];445[label="xy400",fontsize=16,color="green",shape="box"];446[label="xy300",fontsize=16,color="green",shape="box"];447[label="xy400",fontsize=16,color="green",shape="box"];448[label="xy300",fontsize=16,color="green",shape="box"];449[label="xy400",fontsize=16,color="green",shape="box"];450[label="xy300",fontsize=16,color="green",shape="box"];451[label="xy400",fontsize=16,color="green",shape="box"];452[label="xy300",fontsize=16,color="green",shape="box"];453[label="xy400",fontsize=16,color="green",shape="box"];454[label="xy300",fontsize=16,color="green",shape="box"];455[label="xy400",fontsize=16,color="green",shape="box"];456[label="xy300",fontsize=16,color="green",shape="box"];457[label="xy400",fontsize=16,color="green",shape="box"];458[label="xy300",fontsize=16,color="green",shape="box"];459[label="xy400",fontsize=16,color="green",shape="box"];460[label="xy300",fontsize=16,color="green",shape="box"];461[label="xy400",fontsize=16,color="green",shape="box"];462[label="xy300",fontsize=16,color="green",shape="box"];463[label="xy400",fontsize=16,color="green",shape="box"];464[label="xy300",fontsize=16,color="green",shape="box"];465[label="xy400",fontsize=16,color="green",shape="box"];466[label="xy300",fontsize=16,color="green",shape="box"];467[label="xy400",fontsize=16,color="green",shape="box"];468[label="xy300",fontsize=16,color="green",shape="box"];469[label="xy400",fontsize=16,color="green",shape="box"];470[label="xy300",fontsize=16,color="green",shape="box"];471[label="primEqNat (Succ xy3000) (Succ xy4000)",fontsize=16,color="black",shape="box"];471 -> 541[label="",style="solid", color="black", weight=3]; 472[label="primEqNat (Succ xy3000) Zero",fontsize=16,color="black",shape="box"];472 -> 542[label="",style="solid", color="black", weight=3]; 473[label="primEqNat Zero (Succ xy4000)",fontsize=16,color="black",shape="box"];473 -> 543[label="",style="solid", color="black", weight=3]; 474[label="primEqNat Zero Zero",fontsize=16,color="black",shape="box"];474 -> 544[label="",style="solid", color="black", weight=3]; 475[label="xy400",fontsize=16,color="green",shape="box"];476[label="xy301",fontsize=16,color="green",shape="box"];477[label="xy401",fontsize=16,color="green",shape="box"];478[label="xy300",fontsize=16,color="green",shape="box"];479 -> 23[label="",style="dashed", color="red", weight=0]; 479[label="xy302 == xy402",fontsize=16,color="magenta"];479 -> 545[label="",style="dashed", color="magenta", weight=3]; 479 -> 546[label="",style="dashed", color="magenta", weight=3]; 480 -> 24[label="",style="dashed", color="red", weight=0]; 480[label="xy302 == xy402",fontsize=16,color="magenta"];480 -> 547[label="",style="dashed", color="magenta", weight=3]; 480 -> 548[label="",style="dashed", color="magenta", weight=3]; 481 -> 25[label="",style="dashed", color="red", weight=0]; 481[label="xy302 == xy402",fontsize=16,color="magenta"];481 -> 549[label="",style="dashed", color="magenta", weight=3]; 481 -> 550[label="",style="dashed", color="magenta", weight=3]; 482 -> 26[label="",style="dashed", color="red", weight=0]; 482[label="xy302 == xy402",fontsize=16,color="magenta"];482 -> 551[label="",style="dashed", color="magenta", weight=3]; 482 -> 552[label="",style="dashed", color="magenta", weight=3]; 483 -> 27[label="",style="dashed", color="red", weight=0]; 483[label="xy302 == xy402",fontsize=16,color="magenta"];483 -> 553[label="",style="dashed", color="magenta", weight=3]; 483 -> 554[label="",style="dashed", color="magenta", weight=3]; 484 -> 28[label="",style="dashed", color="red", weight=0]; 484[label="xy302 == xy402",fontsize=16,color="magenta"];484 -> 555[label="",style="dashed", color="magenta", weight=3]; 484 -> 556[label="",style="dashed", color="magenta", weight=3]; 485 -> 29[label="",style="dashed", color="red", weight=0]; 485[label="xy302 == xy402",fontsize=16,color="magenta"];485 -> 557[label="",style="dashed", color="magenta", weight=3]; 485 -> 558[label="",style="dashed", color="magenta", weight=3]; 486 -> 30[label="",style="dashed", color="red", weight=0]; 486[label="xy302 == xy402",fontsize=16,color="magenta"];486 -> 559[label="",style="dashed", color="magenta", weight=3]; 486 -> 560[label="",style="dashed", color="magenta", weight=3]; 487 -> 31[label="",style="dashed", color="red", weight=0]; 487[label="xy302 == xy402",fontsize=16,color="magenta"];487 -> 561[label="",style="dashed", color="magenta", weight=3]; 487 -> 562[label="",style="dashed", color="magenta", weight=3]; 488 -> 32[label="",style="dashed", color="red", weight=0]; 488[label="xy302 == xy402",fontsize=16,color="magenta"];488 -> 563[label="",style="dashed", color="magenta", weight=3]; 488 -> 564[label="",style="dashed", color="magenta", weight=3]; 489 -> 33[label="",style="dashed", color="red", weight=0]; 489[label="xy302 == xy402",fontsize=16,color="magenta"];489 -> 565[label="",style="dashed", color="magenta", weight=3]; 489 -> 566[label="",style="dashed", color="magenta", weight=3]; 490 -> 34[label="",style="dashed", color="red", weight=0]; 490[label="xy302 == xy402",fontsize=16,color="magenta"];490 -> 567[label="",style="dashed", color="magenta", weight=3]; 490 -> 568[label="",style="dashed", color="magenta", weight=3]; 491 -> 35[label="",style="dashed", color="red", weight=0]; 491[label="xy302 == xy402",fontsize=16,color="magenta"];491 -> 569[label="",style="dashed", color="magenta", weight=3]; 491 -> 570[label="",style="dashed", color="magenta", weight=3]; 492 -> 36[label="",style="dashed", color="red", weight=0]; 492[label="xy302 == xy402",fontsize=16,color="magenta"];492 -> 571[label="",style="dashed", color="magenta", weight=3]; 492 -> 572[label="",style="dashed", color="magenta", weight=3]; 493 -> 23[label="",style="dashed", color="red", weight=0]; 493[label="xy301 == xy401",fontsize=16,color="magenta"];493 -> 573[label="",style="dashed", color="magenta", weight=3]; 493 -> 574[label="",style="dashed", color="magenta", weight=3]; 494 -> 24[label="",style="dashed", color="red", weight=0]; 494[label="xy301 == xy401",fontsize=16,color="magenta"];494 -> 575[label="",style="dashed", color="magenta", weight=3]; 494 -> 576[label="",style="dashed", color="magenta", weight=3]; 495 -> 25[label="",style="dashed", color="red", weight=0]; 495[label="xy301 == xy401",fontsize=16,color="magenta"];495 -> 577[label="",style="dashed", color="magenta", weight=3]; 495 -> 578[label="",style="dashed", color="magenta", weight=3]; 496 -> 26[label="",style="dashed", color="red", weight=0]; 496[label="xy301 == xy401",fontsize=16,color="magenta"];496 -> 579[label="",style="dashed", color="magenta", weight=3]; 496 -> 580[label="",style="dashed", color="magenta", weight=3]; 497 -> 27[label="",style="dashed", color="red", weight=0]; 497[label="xy301 == xy401",fontsize=16,color="magenta"];497 -> 581[label="",style="dashed", color="magenta", weight=3]; 497 -> 582[label="",style="dashed", color="magenta", weight=3]; 498 -> 28[label="",style="dashed", color="red", weight=0]; 498[label="xy301 == xy401",fontsize=16,color="magenta"];498 -> 583[label="",style="dashed", color="magenta", weight=3]; 498 -> 584[label="",style="dashed", color="magenta", weight=3]; 499 -> 29[label="",style="dashed", color="red", weight=0]; 499[label="xy301 == xy401",fontsize=16,color="magenta"];499 -> 585[label="",style="dashed", color="magenta", weight=3]; 499 -> 586[label="",style="dashed", color="magenta", weight=3]; 500 -> 30[label="",style="dashed", color="red", weight=0]; 500[label="xy301 == xy401",fontsize=16,color="magenta"];500 -> 587[label="",style="dashed", color="magenta", weight=3]; 500 -> 588[label="",style="dashed", color="magenta", weight=3]; 501 -> 31[label="",style="dashed", color="red", weight=0]; 501[label="xy301 == xy401",fontsize=16,color="magenta"];501 -> 589[label="",style="dashed", color="magenta", weight=3]; 501 -> 590[label="",style="dashed", color="magenta", weight=3]; 502 -> 32[label="",style="dashed", color="red", weight=0]; 502[label="xy301 == xy401",fontsize=16,color="magenta"];502 -> 591[label="",style="dashed", color="magenta", weight=3]; 502 -> 592[label="",style="dashed", color="magenta", weight=3]; 503 -> 33[label="",style="dashed", color="red", weight=0]; 503[label="xy301 == xy401",fontsize=16,color="magenta"];503 -> 593[label="",style="dashed", color="magenta", weight=3]; 503 -> 594[label="",style="dashed", color="magenta", weight=3]; 504 -> 34[label="",style="dashed", color="red", weight=0]; 504[label="xy301 == xy401",fontsize=16,color="magenta"];504 -> 595[label="",style="dashed", color="magenta", weight=3]; 504 -> 596[label="",style="dashed", color="magenta", weight=3]; 505 -> 35[label="",style="dashed", color="red", weight=0]; 505[label="xy301 == xy401",fontsize=16,color="magenta"];505 -> 597[label="",style="dashed", color="magenta", weight=3]; 505 -> 598[label="",style="dashed", color="magenta", weight=3]; 506 -> 36[label="",style="dashed", color="red", weight=0]; 506[label="xy301 == xy401",fontsize=16,color="magenta"];506 -> 599[label="",style="dashed", color="magenta", weight=3]; 506 -> 600[label="",style="dashed", color="magenta", weight=3]; 507[label="xy400",fontsize=16,color="green",shape="box"];508[label="xy300",fontsize=16,color="green",shape="box"];509[label="xy400",fontsize=16,color="green",shape="box"];510[label="xy300",fontsize=16,color="green",shape="box"];511[label="xy400",fontsize=16,color="green",shape="box"];512[label="xy300",fontsize=16,color="green",shape="box"];513[label="xy400",fontsize=16,color="green",shape="box"];514[label="xy300",fontsize=16,color="green",shape="box"];515[label="xy400",fontsize=16,color="green",shape="box"];516[label="xy300",fontsize=16,color="green",shape="box"];517[label="xy400",fontsize=16,color="green",shape="box"];518[label="xy300",fontsize=16,color="green",shape="box"];519[label="xy400",fontsize=16,color="green",shape="box"];520[label="xy300",fontsize=16,color="green",shape="box"];521[label="xy400",fontsize=16,color="green",shape="box"];522[label="xy300",fontsize=16,color="green",shape="box"];523[label="xy400",fontsize=16,color="green",shape="box"];524[label="xy300",fontsize=16,color="green",shape="box"];525[label="xy400",fontsize=16,color="green",shape="box"];526[label="xy300",fontsize=16,color="green",shape="box"];527[label="xy400",fontsize=16,color="green",shape="box"];528[label="xy300",fontsize=16,color="green",shape="box"];529[label="xy400",fontsize=16,color="green",shape="box"];530[label="xy300",fontsize=16,color="green",shape="box"];531[label="xy400",fontsize=16,color="green",shape="box"];532[label="xy300",fontsize=16,color="green",shape="box"];533[label="xy400",fontsize=16,color="green",shape="box"];534[label="xy300",fontsize=16,color="green",shape="box"];535[label="xy4000",fontsize=16,color="green",shape="box"];536[label="xy3000",fontsize=16,color="green",shape="box"];537[label="xy4000",fontsize=16,color="green",shape="box"];538[label="xy3000",fontsize=16,color="green",shape="box"];539[label="primMulInt 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-> 192[label="",style="dashed", color="red", weight=0]; 541[label="primEqNat xy3000 xy4000",fontsize=16,color="magenta"];541 -> 605[label="",style="dashed", color="magenta", weight=3]; 541 -> 606[label="",style="dashed", color="magenta", weight=3]; 542[label="False",fontsize=16,color="green",shape="box"];543[label="False",fontsize=16,color="green",shape="box"];544[label="True",fontsize=16,color="green",shape="box"];545[label="xy402",fontsize=16,color="green",shape="box"];546[label="xy302",fontsize=16,color="green",shape="box"];547[label="xy402",fontsize=16,color="green",shape="box"];548[label="xy302",fontsize=16,color="green",shape="box"];549[label="xy402",fontsize=16,color="green",shape="box"];550[label="xy302",fontsize=16,color="green",shape="box"];551[label="xy402",fontsize=16,color="green",shape="box"];552[label="xy302",fontsize=16,color="green",shape="box"];553[label="xy402",fontsize=16,color="green",shape="box"];554[label="xy302",fontsize=16,color="green",shape="box"];555[label="xy402",fontsize=16,color="green",shape="box"];556[label="xy302",fontsize=16,color="green",shape="box"];557[label="xy402",fontsize=16,color="green",shape="box"];558[label="xy302",fontsize=16,color="green",shape="box"];559[label="xy402",fontsize=16,color="green",shape="box"];560[label="xy302",fontsize=16,color="green",shape="box"];561[label="xy402",fontsize=16,color="green",shape="box"];562[label="xy302",fontsize=16,color="green",shape="box"];563[label="xy402",fontsize=16,color="green",shape="box"];564[label="xy302",fontsize=16,color="green",shape="box"];565[label="xy402",fontsize=16,color="green",shape="box"];566[label="xy302",fontsize=16,color="green",shape="box"];567[label="xy402",fontsize=16,color="green",shape="box"];568[label="xy302",fontsize=16,color="green",shape="box"];569[label="xy402",fontsize=16,color="green",shape="box"];570[label="xy302",fontsize=16,color="green",shape="box"];571[label="xy402",fontsize=16,color="green",shape="box"];572[label="xy302",fontsize=16,color="green",shape="box"];573[label="xy401",fontsize=16,color="green",shape="box"];574[label="xy301",fontsize=16,color="green",shape="box"];575[label="xy401",fontsize=16,color="green",shape="box"];576[label="xy301",fontsize=16,color="green",shape="box"];577[label="xy401",fontsize=16,color="green",shape="box"];578[label="xy301",fontsize=16,color="green",shape="box"];579[label="xy401",fontsize=16,color="green",shape="box"];580[label="xy301",fontsize=16,color="green",shape="box"];581[label="xy401",fontsize=16,color="green",shape="box"];582[label="xy301",fontsize=16,color="green",shape="box"];583[label="xy401",fontsize=16,color="green",shape="box"];584[label="xy301",fontsize=16,color="green",shape="box"];585[label="xy401",fontsize=16,color="green",shape="box"];586[label="xy301",fontsize=16,color="green",shape="box"];587[label="xy401",fontsize=16,color="green",shape="box"];588[label="xy301",fontsize=16,color="green",shape="box"];589[label="xy401",fontsize=16,color="green",shape="box"];590[label="xy301",fontsize=16,color="green",shape="box"];591[label="xy401",fontsize=16,color="green",shape="box"];592[label="xy301",fontsize=16,color="green",shape="box"];593[label="xy401",fontsize=16,color="green",shape="box"];594[label="xy301",fontsize=16,color="green",shape="box"];595[label="xy401",fontsize=16,color="green",shape="box"];596[label="xy301",fontsize=16,color="green",shape="box"];597[label="xy401",fontsize=16,color="green",shape="box"];598[label="xy301",fontsize=16,color="green",shape="box"];599[label="xy401",fontsize=16,color="green",shape="box"];600[label="xy301",fontsize=16,color="green",shape="box"];601[label="primMulInt 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(primMulNat xy3010 xy4000)",fontsize=16,color="green",shape="box"];609 -> 613[label="",style="dashed", color="green", weight=3]; 610[label="Pos (primMulNat xy3010 xy4000)",fontsize=16,color="green",shape="box"];610 -> 614[label="",style="dashed", color="green", weight=3]; 611[label="primMulNat xy3010 xy4000",fontsize=16,color="burlywood",shape="triangle"];891[label="xy3010/Succ xy30100",fontsize=10,color="white",style="solid",shape="box"];611 -> 891[label="",style="solid", color="burlywood", weight=9]; 891 -> 615[label="",style="solid", color="burlywood", weight=3]; 892[label="xy3010/Zero",fontsize=10,color="white",style="solid",shape="box"];611 -> 892[label="",style="solid", color="burlywood", weight=9]; 892 -> 616[label="",style="solid", color="burlywood", weight=3]; 612 -> 611[label="",style="dashed", color="red", weight=0]; 612[label="primMulNat xy3010 xy4000",fontsize=16,color="magenta"];612 -> 617[label="",style="dashed", color="magenta", weight=3]; 613 -> 611[label="",style="dashed", color="red", weight=0]; 613[label="primMulNat xy3010 xy4000",fontsize=16,color="magenta"];613 -> 618[label="",style="dashed", color="magenta", weight=3]; 614 -> 611[label="",style="dashed", color="red", weight=0]; 614[label="primMulNat xy3010 xy4000",fontsize=16,color="magenta"];614 -> 619[label="",style="dashed", color="magenta", weight=3]; 614 -> 620[label="",style="dashed", color="magenta", weight=3]; 615[label="primMulNat (Succ xy30100) xy4000",fontsize=16,color="burlywood",shape="box"];893[label="xy4000/Succ xy40000",fontsize=10,color="white",style="solid",shape="box"];615 -> 893[label="",style="solid", color="burlywood", weight=9]; 893 -> 621[label="",style="solid", color="burlywood", weight=3]; 894[label="xy4000/Zero",fontsize=10,color="white",style="solid",shape="box"];615 -> 894[label="",style="solid", color="burlywood", weight=9]; 894 -> 622[label="",style="solid", color="burlywood", weight=3]; 616[label="primMulNat Zero xy4000",fontsize=16,color="burlywood",shape="box"];895[label="xy4000/Succ xy40000",fontsize=10,color="white",style="solid",shape="box"];616 -> 895[label="",style="solid", color="burlywood", weight=9]; 895 -> 623[label="",style="solid", color="burlywood", weight=3]; 896[label="xy4000/Zero",fontsize=10,color="white",style="solid",shape="box"];616 -> 896[label="",style="solid", color="burlywood", weight=9]; 896 -> 624[label="",style="solid", color="burlywood", weight=3]; 617[label="xy4000",fontsize=16,color="green",shape="box"];618[label="xy3010",fontsize=16,color="green",shape="box"];619[label="xy4000",fontsize=16,color="green",shape="box"];620[label="xy3010",fontsize=16,color="green",shape="box"];621[label="primMulNat (Succ xy30100) (Succ xy40000)",fontsize=16,color="black",shape="box"];621 -> 625[label="",style="solid", color="black", weight=3]; 622[label="primMulNat (Succ xy30100) Zero",fontsize=16,color="black",shape="box"];622 -> 626[label="",style="solid", color="black", weight=3]; 623[label="primMulNat Zero (Succ xy40000)",fontsize=16,color="black",shape="box"];623 -> 627[label="",style="solid", color="black", weight=3]; 624[label="primMulNat Zero Zero",fontsize=16,color="black",shape="box"];624 -> 628[label="",style="solid", color="black", weight=3]; 625 -> 629[label="",style="dashed", color="red", weight=0]; 625[label="primPlusNat (primMulNat xy30100 (Succ xy40000)) (Succ xy40000)",fontsize=16,color="magenta"];625 -> 630[label="",style="dashed", color="magenta", weight=3]; 626[label="Zero",fontsize=16,color="green",shape="box"];627[label="Zero",fontsize=16,color="green",shape="box"];628[label="Zero",fontsize=16,color="green",shape="box"];630 -> 611[label="",style="dashed", color="red", weight=0]; 630[label="primMulNat xy30100 (Succ xy40000)",fontsize=16,color="magenta"];630 -> 631[label="",style="dashed", color="magenta", weight=3]; 630 -> 632[label="",style="dashed", color="magenta", weight=3]; 629[label="primPlusNat xy11 (Succ xy40000)",fontsize=16,color="burlywood",shape="triangle"];897[label="xy11/Succ xy110",fontsize=10,color="white",style="solid",shape="box"];629 -> 897[label="",style="solid", color="burlywood", weight=9]; 897 -> 633[label="",style="solid", color="burlywood", weight=3]; 898[label="xy11/Zero",fontsize=10,color="white",style="solid",shape="box"];629 -> 898[label="",style="solid", color="burlywood", weight=9]; 898 -> 634[label="",style="solid", color="burlywood", weight=3]; 631[label="Succ xy40000",fontsize=16,color="green",shape="box"];632[label="xy30100",fontsize=16,color="green",shape="box"];633[label="primPlusNat (Succ xy110) (Succ xy40000)",fontsize=16,color="black",shape="box"];633 -> 635[label="",style="solid", color="black", weight=3]; 634[label="primPlusNat Zero (Succ xy40000)",fontsize=16,color="black",shape="box"];634 -> 636[label="",style="solid", color="black", weight=3]; 635[label="Succ (Succ (primPlusNat xy110 xy40000))",fontsize=16,color="green",shape="box"];635 -> 637[label="",style="dashed", color="green", weight=3]; 636[label="Succ xy40000",fontsize=16,color="green",shape="box"];637[label="primPlusNat xy110 xy40000",fontsize=16,color="burlywood",shape="triangle"];899[label="xy110/Succ xy1100",fontsize=10,color="white",style="solid",shape="box"];637 -> 899[label="",style="solid", color="burlywood", weight=9]; 899 -> 638[label="",style="solid", color="burlywood", weight=3]; 900[label="xy110/Zero",fontsize=10,color="white",style="solid",shape="box"];637 -> 900[label="",style="solid", color="burlywood", weight=9]; 900 -> 639[label="",style="solid", color="burlywood", weight=3]; 638[label="primPlusNat (Succ xy1100) xy40000",fontsize=16,color="burlywood",shape="box"];901[label="xy40000/Succ xy400000",fontsize=10,color="white",style="solid",shape="box"];638 -> 901[label="",style="solid", color="burlywood", weight=9]; 901 -> 640[label="",style="solid", color="burlywood", weight=3]; 902[label="xy40000/Zero",fontsize=10,color="white",style="solid",shape="box"];638 -> 902[label="",style="solid", color="burlywood", weight=9]; 902 -> 641[label="",style="solid", color="burlywood", weight=3]; 639[label="primPlusNat Zero xy40000",fontsize=16,color="burlywood",shape="box"];903[label="xy40000/Succ xy400000",fontsize=10,color="white",style="solid",shape="box"];639 -> 903[label="",style="solid", color="burlywood", weight=9]; 903 -> 642[label="",style="solid", color="burlywood", weight=3]; 904[label="xy40000/Zero",fontsize=10,color="white",style="solid",shape="box"];639 -> 904[label="",style="solid", color="burlywood", weight=9]; 904 -> 643[label="",style="solid", color="burlywood", weight=3]; 640[label="primPlusNat (Succ xy1100) (Succ xy400000)",fontsize=16,color="black",shape="box"];640 -> 644[label="",style="solid", color="black", weight=3]; 641[label="primPlusNat (Succ xy1100) Zero",fontsize=16,color="black",shape="box"];641 -> 645[label="",style="solid", color="black", weight=3]; 642[label="primPlusNat Zero (Succ xy400000)",fontsize=16,color="black",shape="box"];642 -> 646[label="",style="solid", color="black", weight=3]; 643[label="primPlusNat Zero Zero",fontsize=16,color="black",shape="box"];643 -> 647[label="",style="solid", color="black", weight=3]; 644[label="Succ (Succ (primPlusNat xy1100 xy400000))",fontsize=16,color="green",shape="box"];644 -> 648[label="",style="dashed", color="green", weight=3]; 645[label="Succ xy1100",fontsize=16,color="green",shape="box"];646[label="Succ xy400000",fontsize=16,color="green",shape="box"];647[label="Zero",fontsize=16,color="green",shape="box"];648 -> 637[label="",style="dashed", color="red", weight=0]; 648[label="primPlusNat xy1100 xy400000",fontsize=16,color="magenta"];648 -> 649[label="",style="dashed", color="magenta", weight=3]; 648 -> 650[label="",style="dashed", color="magenta", weight=3]; 649[label="xy1100",fontsize=16,color="green",shape="box"];650[label="xy400000",fontsize=16,color="green",shape="box"];} ---------------------------------------- (6) Complex Obligation (AND) ---------------------------------------- (7) Obligation: Q DP problem: The TRS P consists of the following rules: new_esEs0(Left(xy300), Left(xy400), app(ty_Maybe, cg), ce) -> new_esEs1(xy300, xy400, cg) new_esEs(:(xy300, xy301), :(xy400, xy401), app(app(ty_@2, bf), bg)) -> new_esEs2(xy300, xy400, bf, bg) new_esEs2(@2(xy300, xy301), @2(xy400, xy401), app(app(app(ty_@3, bac), bad), bae), hf) -> new_esEs3(xy300, xy400, bac, bad, bae) new_esEs1(Just(xy300), Just(xy400), app(app(ty_Either, eh), fa)) -> new_esEs0(xy300, xy400, eh, fa) new_esEs3(@3(xy300, xy301, xy302), @3(xy400, xy401, xy402), app(app(ty_Either, bdc), bdd), bag, bcc) -> new_esEs0(xy300, xy400, bdc, bdd) new_esEs3(@3(xy300, xy301, xy302), @3(xy400, xy401, xy402), baf, app(app(ty_Either, bca), bcb), bcc) -> new_esEs0(xy301, xy401, bca, bcb) new_esEs3(@3(xy300, xy301, xy302), @3(xy400, xy401, xy402), baf, bag, app(app(ty_Either, bah), bba)) -> new_esEs0(xy302, xy402, bah, bba) new_esEs3(@3(xy300, xy301, xy302), @3(xy400, xy401, xy402), app(app(app(ty_@3, bea), beb), bec), bag, bcc) -> new_esEs3(xy300, xy400, bea, beb, bec) new_esEs(:(xy300, xy301), :(xy400, xy401), app(app(app(ty_@3, bh), ca), cb)) -> new_esEs3(xy300, xy400, bh, ca, cb) new_esEs2(@2(xy300, xy301), @2(xy400, xy401), gb, app(app(ty_@2, gg), gh)) -> new_esEs2(xy301, xy401, gg, gh) new_esEs0(Left(xy300), Left(xy400), app(app(ty_@2, da), db), ce) -> new_esEs2(xy300, xy400, da, db) new_esEs2(@2(xy300, xy301), @2(xy400, xy401), gb, app(ty_[], ge)) -> new_esEs(xy301, xy401, ge) new_esEs0(Right(xy300), Right(xy400), df, app(app(ty_Either, dg), dh)) -> new_esEs0(xy300, xy400, dg, dh) new_esEs(:(xy300, xy301), :(xy400, xy401), ba) -> new_esEs(xy301, xy401, ba) new_esEs(:(xy300, xy301), :(xy400, xy401), app(ty_Maybe, be)) -> new_esEs1(xy300, xy400, be) new_esEs(:(xy300, xy301), :(xy400, xy401), app(ty_[], bd)) -> new_esEs(xy300, xy400, bd) new_esEs0(Right(xy300), Right(xy400), df, app(ty_[], ea)) -> new_esEs(xy300, xy400, ea) new_esEs3(@3(xy300, xy301, xy302), @3(xy400, xy401, xy402), baf, bag, app(app(app(ty_@3, bbf), bbg), bbh)) -> new_esEs3(xy302, xy402, bbf, bbg, bbh) new_esEs2(@2(xy300, xy301), @2(xy400, xy401), app(app(ty_@2, baa), bab), hf) -> new_esEs2(xy300, xy400, baa, bab) new_esEs3(@3(xy300, xy301, xy302), @3(xy400, xy401, xy402), baf, app(app(ty_@2, bcf), bcg), bcc) -> new_esEs2(xy301, xy401, bcf, bcg) new_esEs0(Left(xy300), Left(xy400), app(app(ty_Either, cc), cd), ce) -> new_esEs0(xy300, xy400, cc, cd) new_esEs2(@2(xy300, xy301), @2(xy400, xy401), app(app(ty_Either, hd), he), hf) -> new_esEs0(xy300, xy400, hd, he) new_esEs0(Left(xy300), Left(xy400), app(app(app(ty_@3, dc), dd), de), ce) -> new_esEs3(xy300, xy400, dc, dd, de) new_esEs3(@3(xy300, xy301, xy302), @3(xy400, xy401, xy402), baf, bag, app(app(ty_@2, bbd), bbe)) -> new_esEs2(xy302, xy402, bbd, bbe) new_esEs2(@2(xy300, xy301), @2(xy400, xy401), gb, app(app(ty_Either, gc), gd)) -> new_esEs0(xy301, xy401, gc, gd) new_esEs2(@2(xy300, xy301), @2(xy400, xy401), gb, app(app(app(ty_@3, ha), hb), hc)) -> new_esEs3(xy301, xy401, ha, hb, hc) new_esEs0(Right(xy300), Right(xy400), df, app(app(app(ty_@3, ee), ef), eg)) -> new_esEs3(xy300, xy400, ee, ef, eg) new_esEs1(Just(xy300), Just(xy400), app(app(ty_@2, fd), ff)) -> new_esEs2(xy300, xy400, fd, ff) new_esEs3(@3(xy300, xy301, xy302), @3(xy400, xy401, xy402), baf, app(app(app(ty_@3, bch), bda), bdb), bcc) -> new_esEs3(xy301, xy401, bch, bda, bdb) new_esEs3(@3(xy300, xy301, xy302), @3(xy400, xy401, xy402), baf, app(ty_[], bcd), bcc) -> new_esEs(xy301, xy401, bcd) new_esEs1(Just(xy300), Just(xy400), app(app(app(ty_@3, fg), fh), ga)) -> new_esEs3(xy300, xy400, fg, fh, ga) new_esEs3(@3(xy300, xy301, xy302), @3(xy400, xy401, xy402), app(app(ty_@2, bdg), bdh), bag, bcc) -> new_esEs2(xy300, xy400, bdg, bdh) new_esEs0(Right(xy300), Right(xy400), df, app(ty_Maybe, eb)) -> new_esEs1(xy300, xy400, eb) new_esEs3(@3(xy300, xy301, xy302), @3(xy400, xy401, xy402), baf, bag, app(ty_[], bbb)) -> new_esEs(xy302, xy402, bbb) new_esEs(:(xy300, xy301), :(xy400, xy401), app(app(ty_Either, bb), bc)) -> new_esEs0(xy300, xy400, bb, bc) new_esEs1(Just(xy300), Just(xy400), app(ty_[], fb)) -> new_esEs(xy300, xy400, fb) new_esEs3(@3(xy300, xy301, xy302), @3(xy400, xy401, xy402), app(ty_Maybe, bdf), bag, bcc) -> new_esEs1(xy300, xy400, bdf) new_esEs2(@2(xy300, xy301), @2(xy400, xy401), app(ty_[], hg), hf) -> new_esEs(xy300, xy400, hg) new_esEs2(@2(xy300, xy301), @2(xy400, xy401), gb, app(ty_Maybe, gf)) -> new_esEs1(xy301, xy401, gf) new_esEs3(@3(xy300, xy301, xy302), @3(xy400, xy401, xy402), baf, app(ty_Maybe, bce), bcc) -> new_esEs1(xy301, xy401, bce) new_esEs2(@2(xy300, xy301), @2(xy400, xy401), app(ty_Maybe, hh), hf) -> new_esEs1(xy300, xy400, hh) new_esEs3(@3(xy300, xy301, xy302), @3(xy400, xy401, xy402), app(ty_[], bde), bag, bcc) -> new_esEs(xy300, xy400, bde) new_esEs1(Just(xy300), Just(xy400), app(ty_Maybe, fc)) -> new_esEs1(xy300, xy400, fc) new_esEs3(@3(xy300, xy301, xy302), @3(xy400, xy401, xy402), baf, bag, app(ty_Maybe, bbc)) -> new_esEs1(xy302, xy402, bbc) new_esEs0(Left(xy300), Left(xy400), app(ty_[], cf), ce) -> new_esEs(xy300, xy400, cf) new_esEs0(Right(xy300), Right(xy400), df, app(app(ty_@2, ec), ed)) -> new_esEs2(xy300, xy400, ec, ed) 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_esEs1(Just(xy300), Just(xy400), app(app(ty_Either, eh), fa)) -> new_esEs0(xy300, xy400, eh, fa) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs1(Just(xy300), Just(xy400), app(ty_[], fb)) -> new_esEs(xy300, xy400, fb) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs1(Just(xy300), Just(xy400), app(app(ty_@2, fd), ff)) -> new_esEs2(xy300, xy400, fd, ff) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs1(Just(xy300), Just(xy400), app(ty_Maybe, fc)) -> new_esEs1(xy300, xy400, fc) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs1(Just(xy300), Just(xy400), app(app(app(ty_@3, fg), fh), ga)) -> new_esEs3(xy300, xy400, fg, fh, ga) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 *new_esEs(:(xy300, xy301), :(xy400, xy401), app(app(ty_Either, bb), bc)) -> new_esEs0(xy300, xy400, bb, bc) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs(:(xy300, xy301), :(xy400, xy401), app(app(ty_@2, bf), bg)) -> new_esEs2(xy300, xy400, bf, bg) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs(:(xy300, xy301), :(xy400, xy401), app(ty_Maybe, be)) -> new_esEs1(xy300, xy400, be) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs(:(xy300, xy301), :(xy400, xy401), app(app(app(ty_@3, bh), ca), cb)) -> new_esEs3(xy300, xy400, bh, ca, cb) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 *new_esEs2(@2(xy300, xy301), @2(xy400, xy401), app(app(ty_Either, hd), he), hf) -> new_esEs0(xy300, xy400, hd, he) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs2(@2(xy300, xy301), @2(xy400, xy401), gb, app(app(ty_Either, gc), gd)) -> new_esEs0(xy301, xy401, gc, gd) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 *new_esEs3(@3(xy300, xy301, xy302), @3(xy400, xy401, xy402), app(app(ty_Either, bdc), bdd), bag, bcc) -> new_esEs0(xy300, xy400, bdc, bdd) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs3(@3(xy300, xy301, xy302), @3(xy400, xy401, xy402), baf, app(app(ty_Either, bca), bcb), bcc) -> new_esEs0(xy301, xy401, bca, bcb) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 *new_esEs3(@3(xy300, xy301, xy302), @3(xy400, xy401, xy402), baf, bag, app(app(ty_Either, bah), bba)) -> new_esEs0(xy302, xy402, bah, bba) The graph contains the following edges 1 > 1, 2 > 2, 5 > 3, 5 > 4 *new_esEs0(Right(xy300), Right(xy400), df, app(app(ty_Either, dg), dh)) -> new_esEs0(xy300, xy400, dg, dh) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 *new_esEs0(Left(xy300), Left(xy400), app(app(ty_Either, cc), cd), ce) -> new_esEs0(xy300, xy400, cc, cd) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs2(@2(xy300, xy301), @2(xy400, xy401), gb, app(ty_[], ge)) -> new_esEs(xy301, xy401, ge) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 *new_esEs2(@2(xy300, xy301), @2(xy400, xy401), app(ty_[], hg), hf) -> new_esEs(xy300, xy400, hg) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs2(@2(xy300, xy301), @2(xy400, xy401), gb, app(app(ty_@2, gg), gh)) -> new_esEs2(xy301, xy401, gg, gh) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 *new_esEs2(@2(xy300, xy301), @2(xy400, xy401), app(app(ty_@2, baa), bab), hf) -> new_esEs2(xy300, xy400, baa, bab) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs2(@2(xy300, xy301), @2(xy400, xy401), gb, app(ty_Maybe, gf)) -> new_esEs1(xy301, xy401, gf) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 *new_esEs2(@2(xy300, xy301), @2(xy400, xy401), app(ty_Maybe, hh), hf) -> new_esEs1(xy300, xy400, hh) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs2(@2(xy300, xy301), @2(xy400, xy401), app(app(app(ty_@3, bac), bad), bae), hf) -> new_esEs3(xy300, xy400, bac, bad, bae) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 *new_esEs2(@2(xy300, xy301), @2(xy400, xy401), gb, app(app(app(ty_@3, ha), hb), hc)) -> new_esEs3(xy301, xy401, ha, hb, hc) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4, 4 > 5 *new_esEs3(@3(xy300, xy301, xy302), @3(xy400, xy401, xy402), baf, app(ty_[], bcd), bcc) -> new_esEs(xy301, xy401, bcd) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 *new_esEs3(@3(xy300, xy301, xy302), @3(xy400, xy401, xy402), baf, bag, app(ty_[], bbb)) -> new_esEs(xy302, xy402, bbb) The graph contains the following edges 1 > 1, 2 > 2, 5 > 3 *new_esEs3(@3(xy300, xy301, xy302), @3(xy400, xy401, xy402), app(ty_[], bde), bag, bcc) -> new_esEs(xy300, xy400, bde) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs0(Right(xy300), Right(xy400), df, app(ty_[], ea)) -> new_esEs(xy300, xy400, ea) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 *new_esEs0(Left(xy300), Left(xy400), app(ty_[], cf), ce) -> new_esEs(xy300, xy400, cf) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs(:(xy300, xy301), :(xy400, xy401), ba) -> new_esEs(xy301, xy401, ba) The graph contains the following edges 1 > 1, 2 > 2, 3 >= 3 *new_esEs(:(xy300, xy301), :(xy400, xy401), app(ty_[], bd)) -> new_esEs(xy300, xy400, bd) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs3(@3(xy300, xy301, xy302), @3(xy400, xy401, xy402), baf, app(app(ty_@2, bcf), bcg), bcc) -> new_esEs2(xy301, xy401, bcf, bcg) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 *new_esEs3(@3(xy300, xy301, xy302), @3(xy400, xy401, xy402), baf, bag, app(app(ty_@2, bbd), bbe)) -> new_esEs2(xy302, xy402, bbd, bbe) The graph contains the following edges 1 > 1, 2 > 2, 5 > 3, 5 > 4 *new_esEs3(@3(xy300, xy301, xy302), @3(xy400, xy401, xy402), app(app(ty_@2, bdg), bdh), bag, bcc) -> new_esEs2(xy300, xy400, bdg, bdh) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs3(@3(xy300, xy301, xy302), @3(xy400, xy401, xy402), app(ty_Maybe, bdf), bag, bcc) -> new_esEs1(xy300, xy400, bdf) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs3(@3(xy300, xy301, xy302), @3(xy400, xy401, xy402), baf, app(ty_Maybe, bce), bcc) -> new_esEs1(xy301, xy401, bce) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 *new_esEs3(@3(xy300, xy301, xy302), @3(xy400, xy401, xy402), baf, bag, app(ty_Maybe, bbc)) -> new_esEs1(xy302, xy402, bbc) The graph contains the following edges 1 > 1, 2 > 2, 5 > 3 *new_esEs3(@3(xy300, xy301, xy302), @3(xy400, xy401, xy402), app(app(app(ty_@3, bea), beb), bec), bag, bcc) -> new_esEs3(xy300, xy400, bea, beb, bec) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 *new_esEs3(@3(xy300, xy301, xy302), @3(xy400, xy401, xy402), baf, bag, app(app(app(ty_@3, bbf), bbg), bbh)) -> new_esEs3(xy302, xy402, bbf, bbg, bbh) The graph contains the following edges 1 > 1, 2 > 2, 5 > 3, 5 > 4, 5 > 5 *new_esEs3(@3(xy300, xy301, xy302), @3(xy400, xy401, xy402), baf, app(app(app(ty_@3, bch), bda), bdb), bcc) -> new_esEs3(xy301, xy401, bch, bda, bdb) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4, 4 > 5 *new_esEs0(Left(xy300), Left(xy400), app(app(ty_@2, da), db), ce) -> new_esEs2(xy300, xy400, da, db) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs0(Right(xy300), Right(xy400), df, app(app(ty_@2, ec), ed)) -> new_esEs2(xy300, xy400, ec, ed) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 *new_esEs0(Left(xy300), Left(xy400), app(ty_Maybe, cg), ce) -> new_esEs1(xy300, xy400, cg) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs0(Right(xy300), Right(xy400), df, app(ty_Maybe, eb)) -> new_esEs1(xy300, xy400, eb) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 *new_esEs0(Left(xy300), Left(xy400), app(app(app(ty_@3, dc), dd), de), ce) -> new_esEs3(xy300, xy400, dc, dd, de) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 *new_esEs0(Right(xy300), Right(xy400), df, app(app(app(ty_@3, ee), ef), eg)) -> new_esEs3(xy300, xy400, ee, ef, eg) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4, 4 > 5 ---------------------------------------- (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(xy30100), Succ(xy40000)) -> new_primMulNat(xy30100, Succ(xy40000)) 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(xy30100), Succ(xy40000)) -> new_primMulNat(xy30100, Succ(xy40000)) 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(xy400000)) -> new_primPlusNat(xy1100, xy400000) 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(xy400000)) -> new_primPlusNat(xy1100, xy400000) 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(xy3000), Succ(xy4000)) -> new_primEqNat(xy3000, xy4000) 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(xy3000), Succ(xy4000)) -> new_primEqNat(xy3000, xy4000) The graph contains the following edges 1 > 1, 2 > 2 ---------------------------------------- (21) YES