/export/starexec/sandbox2/solver/bin/starexec_run_standard /export/starexec/sandbox2/benchmark/theBenchmark.hs /export/starexec/sandbox2/output/output_files -------------------------------------------------------------------------------- YES proof of /export/starexec/sandbox2/benchmark/theBenchmark.hs # AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty H-Termination with start terms of the given HASKELL could be proven: (0) HASKELL (1) BR [EQUIVALENT, 0 ms] (2) HASKELL (3) COR [EQUIVALENT, 14 ms] (4)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, 2 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="== :: ((@3) a b c) -> ((@3) a b c) -> 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="== :: Float -> Float -> 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="== :: ([] a) -> ([] a) -> 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="== :: Char -> Char -> 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="== :: (Maybe a) -> (Maybe a) -> 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="== :: (Ratio a) -> (Ratio 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="== :: ((@2) a b) -> ((@2) a b) -> 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="== :: () -> () -> 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="== :: (Either a b) -> (Either a b) -> 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="== :: Double -> Double -> 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="== :: Integer -> Integer -> 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="== :: Int -> Int -> 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="== :: Ordering -> Ordering -> 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="== :: Bool -> Bool -> 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/(xy300,xy301,xy302)",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]; 24[label="xy30 == xy40",fontsize=16,color="black",shape="triangle"];24 -> 40[label="",style="solid", color="black", weight=3]; 25[label="xy30 == xy40",fontsize=16,color="burlywood",shape="triangle"];672[label="xy30/xy300 : xy301",fontsize=10,color="white",style="solid",shape="box"];25 -> 672[label="",style="solid", color="burlywood", weight=9]; 672 -> 41[label="",style="solid", color="burlywood", weight=3]; 673[label="xy30/[]",fontsize=10,color="white",style="solid",shape="box"];25 -> 673[label="",style="solid", color="burlywood", weight=9]; 673 -> 42[label="",style="solid", color="burlywood", weight=3]; 26[label="xy30 == xy40",fontsize=16,color="black",shape="triangle"];26 -> 43[label="",style="solid", color="black", weight=3]; 27[label="xy30 == xy40",fontsize=16,color="burlywood",shape="triangle"];674[label="xy30/Nothing",fontsize=10,color="white",style="solid",shape="box"];27 -> 674[label="",style="solid", color="burlywood", weight=9]; 674 -> 44[label="",style="solid", color="burlywood", weight=3]; 675[label="xy30/Just xy300",fontsize=10,color="white",style="solid",shape="box"];27 -> 675[label="",style="solid", color="burlywood", weight=9]; 675 -> 45[label="",style="solid", color="burlywood", weight=3]; 28[label="xy30 == xy40",fontsize=16,color="burlywood",shape="triangle"];676[label="xy30/xy300 :% xy301",fontsize=10,color="white",style="solid",shape="box"];28 -> 676[label="",style="solid", color="burlywood", weight=9]; 676 -> 46[label="",style="solid", color="burlywood", weight=3]; 29[label="xy30 == xy40",fontsize=16,color="burlywood",shape="triangle"];677[label="xy30/(xy300,xy301)",fontsize=10,color="white",style="solid",shape="box"];29 -> 677[label="",style="solid", color="burlywood", weight=9]; 677 -> 47[label="",style="solid", color="burlywood", weight=3]; 30[label="xy30 == xy40",fontsize=16,color="burlywood",shape="triangle"];678[label="xy30/()",fontsize=10,color="white",style="solid",shape="box"];30 -> 678[label="",style="solid", color="burlywood", weight=9]; 678 -> 48[label="",style="solid", color="burlywood", weight=3]; 31[label="xy30 == xy40",fontsize=16,color="burlywood",shape="triangle"];679[label="xy30/Left xy300",fontsize=10,color="white",style="solid",shape="box"];31 -> 679[label="",style="solid", color="burlywood", weight=9]; 679 -> 49[label="",style="solid", color="burlywood", weight=3]; 680[label="xy30/Right xy300",fontsize=10,color="white",style="solid",shape="box"];31 -> 680[label="",style="solid", color="burlywood", weight=9]; 680 -> 50[label="",style="solid", color="burlywood", weight=3]; 32[label="xy30 == xy40",fontsize=16,color="black",shape="triangle"];32 -> 51[label="",style="solid", color="black", weight=3]; 33[label="xy30 == xy40",fontsize=16,color="burlywood",shape="triangle"];681[label="xy30/Integer xy300",fontsize=10,color="white",style="solid",shape="box"];33 -> 681[label="",style="solid", color="burlywood", weight=9]; 681 -> 52[label="",style="solid", color="burlywood", weight=3]; 34[label="xy30 == xy40",fontsize=16,color="black",shape="triangle"];34 -> 53[label="",style="solid", color="black", weight=3]; 35[label="xy30 == xy40",fontsize=16,color="burlywood",shape="triangle"];682[label="xy30/LT",fontsize=10,color="white",style="solid",shape="box"];35 -> 682[label="",style="solid", color="burlywood", weight=9]; 682 -> 54[label="",style="solid", color="burlywood", weight=3]; 683[label="xy30/EQ",fontsize=10,color="white",style="solid",shape="box"];35 -> 683[label="",style="solid", color="burlywood", weight=9]; 683 -> 55[label="",style="solid", color="burlywood", weight=3]; 684[label="xy30/GT",fontsize=10,color="white",style="solid",shape="box"];35 -> 684[label="",style="solid", color="burlywood", weight=9]; 684 -> 56[label="",style="solid", color="burlywood", weight=3]; 36[label="xy30 == xy40",fontsize=16,color="burlywood",shape="triangle"];685[label="xy30/False",fontsize=10,color="white",style="solid",shape="box"];36 -> 685[label="",style="solid", color="burlywood", weight=9]; 685 -> 57[label="",style="solid", color="burlywood", weight=3]; 686[label="xy30/True",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="(xy300,xy301,xy302) == xy40",fontsize=16,color="burlywood",shape="box"];687[label="xy40/(xy400,xy401,xy402)",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]; 40[label="primEqFloat xy30 xy40",fontsize=16,color="burlywood",shape="box"];688[label="xy30/Float xy300 xy301",fontsize=10,color="white",style="solid",shape="box"];40 -> 688[label="",style="solid", color="burlywood", weight=9]; 688 -> 62[label="",style="solid", color="burlywood", weight=3]; 41[label="xy300 : xy301 == xy40",fontsize=16,color="burlywood",shape="box"];689[label="xy40/xy400 : xy401",fontsize=10,color="white",style="solid",shape="box"];41 -> 689[label="",style="solid", color="burlywood", weight=9]; 689 -> 63[label="",style="solid", color="burlywood", weight=3]; 690[label="xy40/[]",fontsize=10,color="white",style="solid",shape="box"];41 -> 690[label="",style="solid", color="burlywood", weight=9]; 690 -> 64[label="",style="solid", color="burlywood", weight=3]; 42[label="[] == xy40",fontsize=16,color="burlywood",shape="box"];691[label="xy40/xy400 : xy401",fontsize=10,color="white",style="solid",shape="box"];42 -> 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"];42 -> 692[label="",style="solid", color="burlywood", weight=9]; 692 -> 66[label="",style="solid", color="burlywood", weight=3]; 43[label="primEqChar xy30 xy40",fontsize=16,color="burlywood",shape="box"];693[label="xy30/Char xy300",fontsize=10,color="white",style="solid",shape="box"];43 -> 693[label="",style="solid", color="burlywood", weight=9]; 693 -> 67[label="",style="solid", color="burlywood", weight=3]; 44[label="Nothing == xy40",fontsize=16,color="burlywood",shape="box"];694[label="xy40/Nothing",fontsize=10,color="white",style="solid",shape="box"];44 -> 694[label="",style="solid", color="burlywood", weight=9]; 694 -> 68[label="",style="solid", color="burlywood", weight=3]; 695[label="xy40/Just xy400",fontsize=10,color="white",style="solid",shape="box"];44 -> 695[label="",style="solid", color="burlywood", weight=9]; 695 -> 69[label="",style="solid", color="burlywood", weight=3]; 45[label="Just xy300 == xy40",fontsize=16,color="burlywood",shape="box"];696[label="xy40/Nothing",fontsize=10,color="white",style="solid",shape="box"];45 -> 696[label="",style="solid", color="burlywood", weight=9]; 696 -> 70[label="",style="solid", color="burlywood", weight=3]; 697[label="xy40/Just xy400",fontsize=10,color="white",style="solid",shape="box"];45 -> 697[label="",style="solid", color="burlywood", weight=9]; 697 -> 71[label="",style="solid", color="burlywood", weight=3]; 46[label="xy300 :% xy301 == xy40",fontsize=16,color="burlywood",shape="box"];698[label="xy40/xy400 :% xy401",fontsize=10,color="white",style="solid",shape="box"];46 -> 698[label="",style="solid", color="burlywood", weight=9]; 698 -> 72[label="",style="solid", color="burlywood", weight=3]; 47[label="(xy300,xy301) == xy40",fontsize=16,color="burlywood",shape="box"];699[label="xy40/(xy400,xy401)",fontsize=10,color="white",style="solid",shape="box"];47 -> 699[label="",style="solid", color="burlywood", weight=9]; 699 -> 73[label="",style="solid", color="burlywood", weight=3]; 48[label="() == xy40",fontsize=16,color="burlywood",shape="box"];700[label="xy40/()",fontsize=10,color="white",style="solid",shape="box"];48 -> 700[label="",style="solid", color="burlywood", weight=9]; 700 -> 74[label="",style="solid", color="burlywood", weight=3]; 49[label="Left xy300 == xy40",fontsize=16,color="burlywood",shape="box"];701[label="xy40/Left xy400",fontsize=10,color="white",style="solid",shape="box"];49 -> 701[label="",style="solid", color="burlywood", weight=9]; 701 -> 75[label="",style="solid", color="burlywood", weight=3]; 702[label="xy40/Right xy400",fontsize=10,color="white",style="solid",shape="box"];49 -> 702[label="",style="solid", color="burlywood", weight=9]; 702 -> 76[label="",style="solid", color="burlywood", weight=3]; 50[label="Right xy300 == xy40",fontsize=16,color="burlywood",shape="box"];703[label="xy40/Left xy400",fontsize=10,color="white",style="solid",shape="box"];50 -> 703[label="",style="solid", color="burlywood", weight=9]; 703 -> 77[label="",style="solid", color="burlywood", weight=3]; 704[label="xy40/Right xy400",fontsize=10,color="white",style="solid",shape="box"];50 -> 704[label="",style="solid", color="burlywood", weight=9]; 704 -> 78[label="",style="solid", color="burlywood", weight=3]; 51[label="primEqDouble xy30 xy40",fontsize=16,color="burlywood",shape="box"];705[label="xy30/Double xy300 xy301",fontsize=10,color="white",style="solid",shape="box"];51 -> 705[label="",style="solid", color="burlywood", weight=9]; 705 -> 79[label="",style="solid", color="burlywood", weight=3]; 52[label="Integer xy300 == xy40",fontsize=16,color="burlywood",shape="box"];706[label="xy40/Integer xy400",fontsize=10,color="white",style="solid",shape="box"];52 -> 706[label="",style="solid", color="burlywood", weight=9]; 706 -> 80[label="",style="solid", color="burlywood", weight=3]; 53[label="primEqInt xy30 xy40",fontsize=16,color="burlywood",shape="triangle"];707[label="xy30/Pos xy300",fontsize=10,color="white",style="solid",shape="box"];53 -> 707[label="",style="solid", color="burlywood", weight=9]; 707 -> 81[label="",style="solid", color="burlywood", weight=3]; 708[label="xy30/Neg xy300",fontsize=10,color="white",style="solid",shape="box"];53 -> 708[label="",style="solid", color="burlywood", weight=9]; 708 -> 82[label="",style="solid", color="burlywood", weight=3]; 54[label="LT == xy40",fontsize=16,color="burlywood",shape="box"];709[label="xy40/LT",fontsize=10,color="white",style="solid",shape="box"];54 -> 709[label="",style="solid", color="burlywood", weight=9]; 709 -> 83[label="",style="solid", color="burlywood", weight=3]; 710[label="xy40/EQ",fontsize=10,color="white",style="solid",shape="box"];54 -> 710[label="",style="solid", color="burlywood", weight=9]; 710 -> 84[label="",style="solid", color="burlywood", weight=3]; 711[label="xy40/GT",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]; 55[label="EQ == xy40",fontsize=16,color="burlywood",shape="box"];712[label="xy40/LT",fontsize=10,color="white",style="solid",shape="box"];55 -> 712[label="",style="solid", color="burlywood", weight=9]; 712 -> 86[label="",style="solid", color="burlywood", weight=3]; 713[label="xy40/EQ",fontsize=10,color="white",style="solid",shape="box"];55 -> 713[label="",style="solid", color="burlywood", weight=9]; 713 -> 87[label="",style="solid", color="burlywood", weight=3]; 714[label="xy40/GT",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]; 56[label="GT == xy40",fontsize=16,color="burlywood",shape="box"];715[label="xy40/LT",fontsize=10,color="white",style="solid",shape="box"];56 -> 715[label="",style="solid", color="burlywood", weight=9]; 715 -> 89[label="",style="solid", color="burlywood", weight=3]; 716[label="xy40/EQ",fontsize=10,color="white",style="solid",shape="box"];56 -> 716[label="",style="solid", color="burlywood", weight=9]; 716 -> 90[label="",style="solid", color="burlywood", weight=3]; 717[label="xy40/GT",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]; 57[label="False == xy40",fontsize=16,color="burlywood",shape="box"];718[label="xy40/False",fontsize=10,color="white",style="solid",shape="box"];57 -> 718[label="",style="solid", color="burlywood", weight=9]; 718 -> 92[label="",style="solid", color="burlywood", weight=3]; 719[label="xy40/True",fontsize=10,color="white",style="solid",shape="box"];57 -> 719[label="",style="solid", color="burlywood", weight=9]; 719 -> 93[label="",style="solid", color="burlywood", weight=3]; 58[label="True == xy40",fontsize=16,color="burlywood",shape="box"];720[label="xy40/False",fontsize=10,color="white",style="solid",shape="box"];58 -> 720[label="",style="solid", color="burlywood", weight=9]; 720 -> 94[label="",style="solid", color="burlywood", weight=3]; 721[label="xy40/True",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="(xy300,xy301,xy302) == (xy400,xy401,xy402)",fontsize=16,color="black",shape="box"];61 -> 96[label="",style="solid", color="black", weight=3]; 62[label="primEqFloat (Float xy300 xy301) xy40",fontsize=16,color="burlywood",shape="box"];722[label="xy40/Float xy400 xy401",fontsize=10,color="white",style="solid",shape="box"];62 -> 722[label="",style="solid", color="burlywood", weight=9]; 722 -> 97[label="",style="solid", color="burlywood", weight=3]; 63[label="xy300 : xy301 == xy400 : xy401",fontsize=16,color="black",shape="box"];63 -> 98[label="",style="solid", color="black", weight=3]; 64[label="xy300 : xy301 == []",fontsize=16,color="black",shape="box"];64 -> 99[label="",style="solid", color="black", weight=3]; 65[label="[] == xy400 : xy401",fontsize=16,color="black",shape="box"];65 -> 100[label="",style="solid", color="black", weight=3]; 66[label="[] == []",fontsize=16,color="black",shape="box"];66 -> 101[label="",style="solid", color="black", weight=3]; 67[label="primEqChar (Char xy300) xy40",fontsize=16,color="burlywood",shape="box"];723[label="xy40/Char xy400",fontsize=10,color="white",style="solid",shape="box"];67 -> 723[label="",style="solid", color="burlywood", weight=9]; 723 -> 102[label="",style="solid", color="burlywood", weight=3]; 68[label="Nothing == Nothing",fontsize=16,color="black",shape="box"];68 -> 103[label="",style="solid", color="black", weight=3]; 69[label="Nothing == Just xy400",fontsize=16,color="black",shape="box"];69 -> 104[label="",style="solid", color="black", weight=3]; 70[label="Just xy300 == Nothing",fontsize=16,color="black",shape="box"];70 -> 105[label="",style="solid", color="black", weight=3]; 71[label="Just xy300 == Just xy400",fontsize=16,color="black",shape="box"];71 -> 106[label="",style="solid", color="black", weight=3]; 72[label="xy300 :% xy301 == xy400 :% xy401",fontsize=16,color="black",shape="box"];72 -> 107[label="",style="solid", color="black", weight=3]; 73[label="(xy300,xy301) == (xy400,xy401)",fontsize=16,color="black",shape="box"];73 -> 108[label="",style="solid", color="black", weight=3]; 74[label="() == ()",fontsize=16,color="black",shape="box"];74 -> 109[label="",style="solid", color="black", weight=3]; 75[label="Left xy300 == Left xy400",fontsize=16,color="black",shape="box"];75 -> 110[label="",style="solid", color="black", weight=3]; 76[label="Left xy300 == Right xy400",fontsize=16,color="black",shape="box"];76 -> 111[label="",style="solid", color="black", weight=3]; 77[label="Right xy300 == Left xy400",fontsize=16,color="black",shape="box"];77 -> 112[label="",style="solid", color="black", weight=3]; 78[label="Right xy300 == Right xy400",fontsize=16,color="black",shape="box"];78 -> 113[label="",style="solid", color="black", weight=3]; 79[label="primEqDouble (Double xy300 xy301) xy40",fontsize=16,color="burlywood",shape="box"];724[label="xy40/Double xy400 xy401",fontsize=10,color="white",style="solid",shape="box"];79 -> 724[label="",style="solid", color="burlywood", weight=9]; 724 -> 114[label="",style="solid", color="burlywood", weight=3]; 80[label="Integer xy300 == Integer xy400",fontsize=16,color="black",shape="box"];80 -> 115[label="",style="solid", color="black", weight=3]; 81[label="primEqInt (Pos xy300) xy40",fontsize=16,color="burlywood",shape="box"];725[label="xy300/Succ xy3000",fontsize=10,color="white",style="solid",shape="box"];81 -> 725[label="",style="solid", color="burlywood", weight=9]; 725 -> 116[label="",style="solid", color="burlywood", weight=3]; 726[label="xy300/Zero",fontsize=10,color="white",style="solid",shape="box"];81 -> 726[label="",style="solid", color="burlywood", weight=9]; 726 -> 117[label="",style="solid", color="burlywood", weight=3]; 82[label="primEqInt (Neg xy300) xy40",fontsize=16,color="burlywood",shape="box"];727[label="xy300/Succ xy3000",fontsize=10,color="white",style="solid",shape="box"];82 -> 727[label="",style="solid", color="burlywood", weight=9]; 727 -> 118[label="",style="solid", color="burlywood", weight=3]; 728[label="xy300/Zero",fontsize=10,color="white",style="solid",shape="box"];82 -> 728[label="",style="solid", color="burlywood", weight=9]; 728 -> 119[label="",style="solid", color="burlywood", weight=3]; 83[label="LT == LT",fontsize=16,color="black",shape="box"];83 -> 120[label="",style="solid", color="black", weight=3]; 84[label="LT == EQ",fontsize=16,color="black",shape="box"];84 -> 121[label="",style="solid", color="black", weight=3]; 85[label="LT == GT",fontsize=16,color="black",shape="box"];85 -> 122[label="",style="solid", color="black", weight=3]; 86[label="EQ == LT",fontsize=16,color="black",shape="box"];86 -> 123[label="",style="solid", color="black", weight=3]; 87[label="EQ == EQ",fontsize=16,color="black",shape="box"];87 -> 124[label="",style="solid", color="black", weight=3]; 88[label="EQ == GT",fontsize=16,color="black",shape="box"];88 -> 125[label="",style="solid", color="black", weight=3]; 89[label="GT == LT",fontsize=16,color="black",shape="box"];89 -> 126[label="",style="solid", color="black", weight=3]; 90[label="GT == EQ",fontsize=16,color="black",shape="box"];90 -> 127[label="",style="solid", color="black", weight=3]; 91[label="GT == GT",fontsize=16,color="black",shape="box"];91 -> 128[label="",style="solid", color="black", weight=3]; 92[label="False == False",fontsize=16,color="black",shape="box"];92 -> 129[label="",style="solid", color="black", weight=3]; 93[label="False == True",fontsize=16,color="black",shape="box"];93 -> 130[label="",style="solid", color="black", weight=3]; 94[label="True == False",fontsize=16,color="black",shape="box"];94 -> 131[label="",style="solid", color="black", weight=3]; 95[label="True == True",fontsize=16,color="black",shape="box"];95 -> 132[label="",style="solid", color="black", weight=3]; 96 -> 16[label="",style="dashed", color="red", weight=0]; 96[label="xy300 == xy400 && xy301 == xy401 && xy302 == xy402",fontsize=16,color="magenta"];96 -> 133[label="",style="dashed", color="magenta", weight=3]; 96 -> 134[label="",style="dashed", color="magenta", weight=3]; 97[label="primEqFloat (Float xy300 xy301) (Float xy400 xy401)",fontsize=16,color="black",shape="box"];97 -> 135[label="",style="solid", color="black", weight=3]; 98 -> 16[label="",style="dashed", color="red", weight=0]; 98[label="xy300 == xy400 && xy301 == xy401",fontsize=16,color="magenta"];98 -> 136[label="",style="dashed", color="magenta", weight=3]; 98 -> 137[label="",style="dashed", color="magenta", weight=3]; 99[label="False",fontsize=16,color="green",shape="box"];100[label="False",fontsize=16,color="green",shape="box"];101[label="True",fontsize=16,color="green",shape="box"];102[label="primEqChar (Char xy300) (Char xy400)",fontsize=16,color="black",shape="box"];102 -> 138[label="",style="solid", color="black", weight=3]; 103[label="True",fontsize=16,color="green",shape="box"];104[label="False",fontsize=16,color="green",shape="box"];105[label="False",fontsize=16,color="green",shape="box"];106[label="xy300 == xy400",fontsize=16,color="blue",shape="box"];729[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];106 -> 729[label="",style="solid", color="blue", weight=9]; 729 -> 139[label="",style="solid", color="blue", weight=3]; 730[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];106 -> 730[label="",style="solid", color="blue", weight=9]; 730 -> 140[label="",style="solid", color="blue", weight=3]; 731[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];106 -> 731[label="",style="solid", color="blue", weight=9]; 731 -> 141[label="",style="solid", color="blue", weight=3]; 732[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];106 -> 732[label="",style="solid", color="blue", weight=9]; 732 -> 142[label="",style="solid", color="blue", weight=3]; 733[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];106 -> 733[label="",style="solid", color="blue", weight=9]; 733 -> 143[label="",style="solid", color="blue", weight=3]; 734[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];106 -> 734[label="",style="solid", color="blue", weight=9]; 734 -> 144[label="",style="solid", color="blue", weight=3]; 735[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];106 -> 735[label="",style="solid", color="blue", weight=9]; 735 -> 145[label="",style="solid", color="blue", weight=3]; 736[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];106 -> 736[label="",style="solid", color="blue", weight=9]; 736 -> 146[label="",style="solid", color="blue", weight=3]; 737[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];106 -> 737[label="",style="solid", color="blue", weight=9]; 737 -> 147[label="",style="solid", color="blue", weight=3]; 738[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];106 -> 738[label="",style="solid", color="blue", weight=9]; 738 -> 148[label="",style="solid", color="blue", weight=3]; 739[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];106 -> 739[label="",style="solid", color="blue", weight=9]; 739 -> 149[label="",style="solid", color="blue", weight=3]; 740[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];106 -> 740[label="",style="solid", color="blue", weight=9]; 740 -> 150[label="",style="solid", color="blue", weight=3]; 741[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];106 -> 741[label="",style="solid", color="blue", weight=9]; 741 -> 151[label="",style="solid", color="blue", weight=3]; 742[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];106 -> 742[label="",style="solid", color="blue", weight=9]; 742 -> 152[label="",style="solid", color="blue", weight=3]; 107 -> 16[label="",style="dashed", color="red", weight=0]; 107[label="xy300 == xy400 && xy301 == xy401",fontsize=16,color="magenta"];107 -> 153[label="",style="dashed", color="magenta", weight=3]; 107 -> 154[label="",style="dashed", color="magenta", weight=3]; 108 -> 16[label="",style="dashed", color="red", weight=0]; 108[label="xy300 == xy400 && xy301 == xy401",fontsize=16,color="magenta"];108 -> 155[label="",style="dashed", color="magenta", weight=3]; 108 -> 156[label="",style="dashed", color="magenta", weight=3]; 109[label="True",fontsize=16,color="green",shape="box"];110[label="xy300 == xy400",fontsize=16,color="blue",shape="box"];743[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];110 -> 743[label="",style="solid", color="blue", weight=9]; 743 -> 157[label="",style="solid", color="blue", weight=3]; 744[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];110 -> 744[label="",style="solid", color="blue", weight=9]; 744 -> 158[label="",style="solid", color="blue", weight=3]; 745[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];110 -> 745[label="",style="solid", color="blue", weight=9]; 745 -> 159[label="",style="solid", color="blue", weight=3]; 746[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];110 -> 746[label="",style="solid", color="blue", weight=9]; 746 -> 160[label="",style="solid", color="blue", weight=3]; 747[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];110 -> 747[label="",style="solid", color="blue", weight=9]; 747 -> 161[label="",style="solid", color="blue", weight=3]; 748[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];110 -> 748[label="",style="solid", color="blue", weight=9]; 748 -> 162[label="",style="solid", color="blue", weight=3]; 749[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];110 -> 749[label="",style="solid", color="blue", weight=9]; 749 -> 163[label="",style="solid", color="blue", weight=3]; 750[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];110 -> 750[label="",style="solid", color="blue", weight=9]; 750 -> 164[label="",style="solid", color="blue", weight=3]; 751[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];110 -> 751[label="",style="solid", color="blue", weight=9]; 751 -> 165[label="",style="solid", color="blue", weight=3]; 752[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];110 -> 752[label="",style="solid", color="blue", weight=9]; 752 -> 166[label="",style="solid", color="blue", weight=3]; 753[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];110 -> 753[label="",style="solid", color="blue", weight=9]; 753 -> 167[label="",style="solid", color="blue", weight=3]; 754[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];110 -> 754[label="",style="solid", color="blue", weight=9]; 754 -> 168[label="",style="solid", color="blue", weight=3]; 755[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];110 -> 755[label="",style="solid", color="blue", weight=9]; 755 -> 169[label="",style="solid", color="blue", weight=3]; 756[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];110 -> 756[label="",style="solid", color="blue", weight=9]; 756 -> 170[label="",style="solid", color="blue", weight=3]; 111[label="False",fontsize=16,color="green",shape="box"];112[label="False",fontsize=16,color="green",shape="box"];113[label="xy300 == xy400",fontsize=16,color="blue",shape="box"];757[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];113 -> 757[label="",style="solid", color="blue", weight=9]; 757 -> 171[label="",style="solid", color="blue", weight=3]; 758[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];113 -> 758[label="",style="solid", color="blue", weight=9]; 758 -> 172[label="",style="solid", color="blue", weight=3]; 759[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];113 -> 759[label="",style="solid", color="blue", weight=9]; 759 -> 173[label="",style="solid", color="blue", weight=3]; 760[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];113 -> 760[label="",style="solid", color="blue", weight=9]; 760 -> 174[label="",style="solid", color="blue", weight=3]; 761[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];113 -> 761[label="",style="solid", color="blue", weight=9]; 761 -> 175[label="",style="solid", color="blue", weight=3]; 762[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];113 -> 762[label="",style="solid", color="blue", weight=9]; 762 -> 176[label="",style="solid", color="blue", weight=3]; 763[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];113 -> 763[label="",style="solid", color="blue", weight=9]; 763 -> 177[label="",style="solid", color="blue", weight=3]; 764[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];113 -> 764[label="",style="solid", color="blue", weight=9]; 764 -> 178[label="",style="solid", color="blue", weight=3]; 765[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];113 -> 765[label="",style="solid", color="blue", weight=9]; 765 -> 179[label="",style="solid", color="blue", weight=3]; 766[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];113 -> 766[label="",style="solid", color="blue", weight=9]; 766 -> 180[label="",style="solid", color="blue", weight=3]; 767[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];113 -> 767[label="",style="solid", color="blue", weight=9]; 767 -> 181[label="",style="solid", color="blue", weight=3]; 768[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];113 -> 768[label="",style="solid", color="blue", weight=9]; 768 -> 182[label="",style="solid", color="blue", weight=3]; 769[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];113 -> 769[label="",style="solid", color="blue", weight=9]; 769 -> 183[label="",style="solid", color="blue", weight=3]; 770[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];113 -> 770[label="",style="solid", color="blue", weight=9]; 770 -> 184[label="",style="solid", color="blue", weight=3]; 114[label="primEqDouble (Double xy300 xy301) (Double xy400 xy401)",fontsize=16,color="black",shape="box"];114 -> 185[label="",style="solid", color="black", weight=3]; 115 -> 53[label="",style="dashed", color="red", weight=0]; 115[label="primEqInt xy300 xy400",fontsize=16,color="magenta"];115 -> 186[label="",style="dashed", color="magenta", weight=3]; 115 -> 187[label="",style="dashed", color="magenta", weight=3]; 116[label="primEqInt (Pos (Succ xy3000)) xy40",fontsize=16,color="burlywood",shape="box"];771[label="xy40/Pos xy400",fontsize=10,color="white",style="solid",shape="box"];116 -> 771[label="",style="solid", color="burlywood", weight=9]; 771 -> 188[label="",style="solid", color="burlywood", weight=3]; 772[label="xy40/Neg xy400",fontsize=10,color="white",style="solid",shape="box"];116 -> 772[label="",style="solid", color="burlywood", weight=9]; 772 -> 189[label="",style="solid", color="burlywood", weight=3]; 117[label="primEqInt (Pos Zero) xy40",fontsize=16,color="burlywood",shape="box"];773[label="xy40/Pos xy400",fontsize=10,color="white",style="solid",shape="box"];117 -> 773[label="",style="solid", color="burlywood", weight=9]; 773 -> 190[label="",style="solid", color="burlywood", weight=3]; 774[label="xy40/Neg xy400",fontsize=10,color="white",style="solid",shape="box"];117 -> 774[label="",style="solid", color="burlywood", weight=9]; 774 -> 191[label="",style="solid", color="burlywood", weight=3]; 118[label="primEqInt (Neg (Succ xy3000)) xy40",fontsize=16,color="burlywood",shape="box"];775[label="xy40/Pos xy400",fontsize=10,color="white",style="solid",shape="box"];118 -> 775[label="",style="solid", color="burlywood", weight=9]; 775 -> 192[label="",style="solid", color="burlywood", weight=3]; 776[label="xy40/Neg xy400",fontsize=10,color="white",style="solid",shape="box"];118 -> 776[label="",style="solid", color="burlywood", weight=9]; 776 -> 193[label="",style="solid", color="burlywood", weight=3]; 119[label="primEqInt (Neg Zero) xy40",fontsize=16,color="burlywood",shape="box"];777[label="xy40/Pos xy400",fontsize=10,color="white",style="solid",shape="box"];119 -> 777[label="",style="solid", color="burlywood", weight=9]; 777 -> 194[label="",style="solid", color="burlywood", weight=3]; 778[label="xy40/Neg xy400",fontsize=10,color="white",style="solid",shape="box"];119 -> 778[label="",style="solid", color="burlywood", weight=9]; 778 -> 195[label="",style="solid", color="burlywood", weight=3]; 120[label="True",fontsize=16,color="green",shape="box"];121[label="False",fontsize=16,color="green",shape="box"];122[label="False",fontsize=16,color="green",shape="box"];123[label="False",fontsize=16,color="green",shape="box"];124[label="True",fontsize=16,color="green",shape="box"];125[label="False",fontsize=16,color="green",shape="box"];126[label="False",fontsize=16,color="green",shape="box"];127[label="False",fontsize=16,color="green",shape="box"];128[label="True",fontsize=16,color="green",shape="box"];129[label="True",fontsize=16,color="green",shape="box"];130[label="False",fontsize=16,color="green",shape="box"];131[label="False",fontsize=16,color="green",shape="box"];132[label="True",fontsize=16,color="green",shape="box"];133 -> 16[label="",style="dashed", color="red", weight=0]; 133[label="xy301 == xy401 && xy302 == xy402",fontsize=16,color="magenta"];133 -> 196[label="",style="dashed", color="magenta", weight=3]; 133 -> 197[label="",style="dashed", color="magenta", weight=3]; 134[label="xy300 == xy400",fontsize=16,color="blue",shape="box"];779[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];134 -> 779[label="",style="solid", color="blue", weight=9]; 779 -> 198[label="",style="solid", color="blue", weight=3]; 780[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];134 -> 780[label="",style="solid", color="blue", weight=9]; 780 -> 199[label="",style="solid", color="blue", weight=3]; 781[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];134 -> 781[label="",style="solid", color="blue", weight=9]; 781 -> 200[label="",style="solid", color="blue", weight=3]; 782[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];134 -> 782[label="",style="solid", color="blue", weight=9]; 782 -> 201[label="",style="solid", color="blue", weight=3]; 783[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];134 -> 783[label="",style="solid", color="blue", weight=9]; 783 -> 202[label="",style="solid", color="blue", weight=3]; 784[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];134 -> 784[label="",style="solid", color="blue", weight=9]; 784 -> 203[label="",style="solid", color="blue", weight=3]; 785[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];134 -> 785[label="",style="solid", color="blue", weight=9]; 785 -> 204[label="",style="solid", color="blue", weight=3]; 786[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];134 -> 786[label="",style="solid", color="blue", weight=9]; 786 -> 205[label="",style="solid", color="blue", weight=3]; 787[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];134 -> 787[label="",style="solid", color="blue", weight=9]; 787 -> 206[label="",style="solid", color="blue", weight=3]; 788[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];134 -> 788[label="",style="solid", color="blue", weight=9]; 788 -> 207[label="",style="solid", color="blue", weight=3]; 789[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];134 -> 789[label="",style="solid", color="blue", weight=9]; 789 -> 208[label="",style="solid", color="blue", weight=3]; 790[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];134 -> 790[label="",style="solid", color="blue", weight=9]; 790 -> 209[label="",style="solid", color="blue", weight=3]; 791[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];134 -> 791[label="",style="solid", color="blue", weight=9]; 791 -> 210[label="",style="solid", color="blue", weight=3]; 792[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];134 -> 792[label="",style="solid", color="blue", weight=9]; 792 -> 211[label="",style="solid", color="blue", weight=3]; 135 -> 34[label="",style="dashed", color="red", weight=0]; 135[label="xy300 * xy401 == xy301 * xy400",fontsize=16,color="magenta"];135 -> 212[label="",style="dashed", color="magenta", weight=3]; 135 -> 213[label="",style="dashed", color="magenta", weight=3]; 136 -> 25[label="",style="dashed", color="red", weight=0]; 136[label="xy301 == xy401",fontsize=16,color="magenta"];136 -> 214[label="",style="dashed", color="magenta", weight=3]; 136 -> 215[label="",style="dashed", color="magenta", weight=3]; 137[label="xy300 == xy400",fontsize=16,color="blue",shape="box"];793[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];137 -> 793[label="",style="solid", color="blue", weight=9]; 793 -> 216[label="",style="solid", color="blue", weight=3]; 794[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];137 -> 794[label="",style="solid", color="blue", weight=9]; 794 -> 217[label="",style="solid", color="blue", weight=3]; 795[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];137 -> 795[label="",style="solid", color="blue", weight=9]; 795 -> 218[label="",style="solid", color="blue", weight=3]; 796[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];137 -> 796[label="",style="solid", color="blue", weight=9]; 796 -> 219[label="",style="solid", color="blue", weight=3]; 797[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];137 -> 797[label="",style="solid", color="blue", weight=9]; 797 -> 220[label="",style="solid", color="blue", weight=3]; 798[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];137 -> 798[label="",style="solid", color="blue", weight=9]; 798 -> 221[label="",style="solid", color="blue", weight=3]; 799[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];137 -> 799[label="",style="solid", color="blue", weight=9]; 799 -> 222[label="",style="solid", color="blue", weight=3]; 800[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];137 -> 800[label="",style="solid", color="blue", weight=9]; 800 -> 223[label="",style="solid", color="blue", weight=3]; 801[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];137 -> 801[label="",style="solid", color="blue", weight=9]; 801 -> 224[label="",style="solid", color="blue", weight=3]; 802[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];137 -> 802[label="",style="solid", color="blue", weight=9]; 802 -> 225[label="",style="solid", color="blue", weight=3]; 803[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];137 -> 803[label="",style="solid", color="blue", weight=9]; 803 -> 226[label="",style="solid", color="blue", weight=3]; 804[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];137 -> 804[label="",style="solid", color="blue", weight=9]; 804 -> 227[label="",style="solid", color="blue", weight=3]; 805[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];137 -> 805[label="",style="solid", color="blue", weight=9]; 805 -> 228[label="",style="solid", color="blue", weight=3]; 806[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];137 -> 806[label="",style="solid", color="blue", weight=9]; 806 -> 229[label="",style="solid", color="blue", weight=3]; 138[label="primEqNat xy300 xy400",fontsize=16,color="burlywood",shape="triangle"];807[label="xy300/Succ xy3000",fontsize=10,color="white",style="solid",shape="box"];138 -> 807[label="",style="solid", color="burlywood", weight=9]; 807 -> 230[label="",style="solid", color="burlywood", weight=3]; 808[label="xy300/Zero",fontsize=10,color="white",style="solid",shape="box"];138 -> 808[label="",style="solid", color="burlywood", weight=9]; 808 -> 231[label="",style="solid", color="burlywood", weight=3]; 139 -> 23[label="",style="dashed", color="red", weight=0]; 139[label="xy300 == xy400",fontsize=16,color="magenta"];139 -> 232[label="",style="dashed", color="magenta", weight=3]; 139 -> 233[label="",style="dashed", color="magenta", weight=3]; 140 -> 24[label="",style="dashed", color="red", weight=0]; 140[label="xy300 == xy400",fontsize=16,color="magenta"];140 -> 234[label="",style="dashed", color="magenta", weight=3]; 140 -> 235[label="",style="dashed", color="magenta", weight=3]; 141 -> 25[label="",style="dashed", color="red", weight=0]; 141[label="xy300 == xy400",fontsize=16,color="magenta"];141 -> 236[label="",style="dashed", color="magenta", weight=3]; 141 -> 237[label="",style="dashed", color="magenta", weight=3]; 142 -> 26[label="",style="dashed", color="red", weight=0]; 142[label="xy300 == xy400",fontsize=16,color="magenta"];142 -> 238[label="",style="dashed", color="magenta", weight=3]; 142 -> 239[label="",style="dashed", color="magenta", weight=3]; 143 -> 27[label="",style="dashed", color="red", weight=0]; 143[label="xy300 == xy400",fontsize=16,color="magenta"];143 -> 240[label="",style="dashed", color="magenta", weight=3]; 143 -> 241[label="",style="dashed", color="magenta", weight=3]; 144 -> 28[label="",style="dashed", color="red", weight=0]; 144[label="xy300 == xy400",fontsize=16,color="magenta"];144 -> 242[label="",style="dashed", color="magenta", weight=3]; 144 -> 243[label="",style="dashed", color="magenta", weight=3]; 145 -> 29[label="",style="dashed", color="red", weight=0]; 145[label="xy300 == xy400",fontsize=16,color="magenta"];145 -> 244[label="",style="dashed", color="magenta", weight=3]; 145 -> 245[label="",style="dashed", color="magenta", weight=3]; 146 -> 30[label="",style="dashed", color="red", weight=0]; 146[label="xy300 == xy400",fontsize=16,color="magenta"];146 -> 246[label="",style="dashed", color="magenta", weight=3]; 146 -> 247[label="",style="dashed", color="magenta", weight=3]; 147 -> 31[label="",style="dashed", color="red", weight=0]; 147[label="xy300 == xy400",fontsize=16,color="magenta"];147 -> 248[label="",style="dashed", color="magenta", weight=3]; 147 -> 249[label="",style="dashed", color="magenta", weight=3]; 148 -> 32[label="",style="dashed", color="red", weight=0]; 148[label="xy300 == xy400",fontsize=16,color="magenta"];148 -> 250[label="",style="dashed", color="magenta", weight=3]; 148 -> 251[label="",style="dashed", color="magenta", weight=3]; 149 -> 33[label="",style="dashed", color="red", weight=0]; 149[label="xy300 == xy400",fontsize=16,color="magenta"];149 -> 252[label="",style="dashed", color="magenta", weight=3]; 149 -> 253[label="",style="dashed", color="magenta", weight=3]; 150 -> 34[label="",style="dashed", color="red", weight=0]; 150[label="xy300 == xy400",fontsize=16,color="magenta"];150 -> 254[label="",style="dashed", color="magenta", weight=3]; 150 -> 255[label="",style="dashed", color="magenta", weight=3]; 151 -> 35[label="",style="dashed", color="red", weight=0]; 151[label="xy300 == xy400",fontsize=16,color="magenta"];151 -> 256[label="",style="dashed", color="magenta", weight=3]; 151 -> 257[label="",style="dashed", color="magenta", weight=3]; 152 -> 36[label="",style="dashed", color="red", weight=0]; 152[label="xy300 == xy400",fontsize=16,color="magenta"];152 -> 258[label="",style="dashed", color="magenta", weight=3]; 152 -> 259[label="",style="dashed", color="magenta", weight=3]; 153[label="xy301 == xy401",fontsize=16,color="blue",shape="box"];809[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];153 -> 809[label="",style="solid", color="blue", weight=9]; 809 -> 260[label="",style="solid", color="blue", weight=3]; 810[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];153 -> 810[label="",style="solid", color="blue", weight=9]; 810 -> 261[label="",style="solid", color="blue", weight=3]; 154[label="xy300 == xy400",fontsize=16,color="blue",shape="box"];811[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];154 -> 811[label="",style="solid", color="blue", weight=9]; 811 -> 262[label="",style="solid", color="blue", weight=3]; 812[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];154 -> 812[label="",style="solid", color="blue", weight=9]; 812 -> 263[label="",style="solid", color="blue", weight=3]; 155[label="xy301 == xy401",fontsize=16,color="blue",shape="box"];813[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];155 -> 813[label="",style="solid", color="blue", weight=9]; 813 -> 264[label="",style="solid", color="blue", weight=3]; 814[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];155 -> 814[label="",style="solid", color="blue", weight=9]; 814 -> 265[label="",style="solid", color="blue", weight=3]; 815[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];155 -> 815[label="",style="solid", color="blue", weight=9]; 815 -> 266[label="",style="solid", color="blue", weight=3]; 816[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];155 -> 816[label="",style="solid", color="blue", weight=9]; 816 -> 267[label="",style="solid", color="blue", weight=3]; 817[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];155 -> 817[label="",style="solid", color="blue", weight=9]; 817 -> 268[label="",style="solid", color="blue", weight=3]; 818[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];155 -> 818[label="",style="solid", color="blue", weight=9]; 818 -> 269[label="",style="solid", color="blue", weight=3]; 819[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];155 -> 819[label="",style="solid", color="blue", weight=9]; 819 -> 270[label="",style="solid", color="blue", weight=3]; 820[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];155 -> 820[label="",style="solid", color="blue", weight=9]; 820 -> 271[label="",style="solid", color="blue", weight=3]; 821[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];155 -> 821[label="",style="solid", color="blue", weight=9]; 821 -> 272[label="",style="solid", color="blue", weight=3]; 822[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];155 -> 822[label="",style="solid", color="blue", weight=9]; 822 -> 273[label="",style="solid", color="blue", weight=3]; 823[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];155 -> 823[label="",style="solid", color="blue", weight=9]; 823 -> 274[label="",style="solid", color="blue", weight=3]; 824[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];155 -> 824[label="",style="solid", color="blue", weight=9]; 824 -> 275[label="",style="solid", color="blue", weight=3]; 825[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];155 -> 825[label="",style="solid", color="blue", weight=9]; 825 -> 276[label="",style="solid", color="blue", weight=3]; 826[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];155 -> 826[label="",style="solid", color="blue", weight=9]; 826 -> 277[label="",style="solid", color="blue", weight=3]; 156[label="xy300 == xy400",fontsize=16,color="blue",shape="box"];827[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];156 -> 827[label="",style="solid", color="blue", weight=9]; 827 -> 278[label="",style="solid", color="blue", weight=3]; 828[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];156 -> 828[label="",style="solid", color="blue", weight=9]; 828 -> 279[label="",style="solid", color="blue", weight=3]; 829[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];156 -> 829[label="",style="solid", color="blue", weight=9]; 829 -> 280[label="",style="solid", color="blue", weight=3]; 830[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];156 -> 830[label="",style="solid", color="blue", weight=9]; 830 -> 281[label="",style="solid", color="blue", weight=3]; 831[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];156 -> 831[label="",style="solid", color="blue", weight=9]; 831 -> 282[label="",style="solid", color="blue", weight=3]; 832[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];156 -> 832[label="",style="solid", color="blue", weight=9]; 832 -> 283[label="",style="solid", color="blue", weight=3]; 833[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];156 -> 833[label="",style="solid", color="blue", weight=9]; 833 -> 284[label="",style="solid", color="blue", weight=3]; 834[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];156 -> 834[label="",style="solid", color="blue", weight=9]; 834 -> 285[label="",style="solid", color="blue", weight=3]; 835[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];156 -> 835[label="",style="solid", color="blue", weight=9]; 835 -> 286[label="",style="solid", color="blue", weight=3]; 836[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];156 -> 836[label="",style="solid", color="blue", weight=9]; 836 -> 287[label="",style="solid", color="blue", weight=3]; 837[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];156 -> 837[label="",style="solid", color="blue", weight=9]; 837 -> 288[label="",style="solid", color="blue", weight=3]; 838[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];156 -> 838[label="",style="solid", color="blue", weight=9]; 838 -> 289[label="",style="solid", color="blue", weight=3]; 839[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];156 -> 839[label="",style="solid", color="blue", weight=9]; 839 -> 290[label="",style="solid", color="blue", weight=3]; 840[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];156 -> 840[label="",style="solid", color="blue", weight=9]; 840 -> 291[label="",style="solid", color="blue", weight=3]; 157 -> 23[label="",style="dashed", color="red", weight=0]; 157[label="xy300 == xy400",fontsize=16,color="magenta"];157 -> 292[label="",style="dashed", color="magenta", weight=3]; 157 -> 293[label="",style="dashed", color="magenta", weight=3]; 158 -> 24[label="",style="dashed", color="red", weight=0]; 158[label="xy300 == xy400",fontsize=16,color="magenta"];158 -> 294[label="",style="dashed", color="magenta", weight=3]; 158 -> 295[label="",style="dashed", color="magenta", weight=3]; 159 -> 25[label="",style="dashed", color="red", weight=0]; 159[label="xy300 == xy400",fontsize=16,color="magenta"];159 -> 296[label="",style="dashed", color="magenta", weight=3]; 159 -> 297[label="",style="dashed", color="magenta", weight=3]; 160 -> 26[label="",style="dashed", color="red", weight=0]; 160[label="xy300 == xy400",fontsize=16,color="magenta"];160 -> 298[label="",style="dashed", color="magenta", weight=3]; 160 -> 299[label="",style="dashed", color="magenta", weight=3]; 161 -> 27[label="",style="dashed", color="red", weight=0]; 161[label="xy300 == xy400",fontsize=16,color="magenta"];161 -> 300[label="",style="dashed", color="magenta", weight=3]; 161 -> 301[label="",style="dashed", color="magenta", weight=3]; 162 -> 28[label="",style="dashed", color="red", weight=0]; 162[label="xy300 == xy400",fontsize=16,color="magenta"];162 -> 302[label="",style="dashed", color="magenta", weight=3]; 162 -> 303[label="",style="dashed", color="magenta", weight=3]; 163 -> 29[label="",style="dashed", color="red", weight=0]; 163[label="xy300 == xy400",fontsize=16,color="magenta"];163 -> 304[label="",style="dashed", color="magenta", weight=3]; 163 -> 305[label="",style="dashed", color="magenta", weight=3]; 164 -> 30[label="",style="dashed", color="red", weight=0]; 164[label="xy300 == xy400",fontsize=16,color="magenta"];164 -> 306[label="",style="dashed", color="magenta", weight=3]; 164 -> 307[label="",style="dashed", color="magenta", weight=3]; 165 -> 31[label="",style="dashed", color="red", weight=0]; 165[label="xy300 == xy400",fontsize=16,color="magenta"];165 -> 308[label="",style="dashed", color="magenta", weight=3]; 165 -> 309[label="",style="dashed", color="magenta", weight=3]; 166 -> 32[label="",style="dashed", color="red", weight=0]; 166[label="xy300 == xy400",fontsize=16,color="magenta"];166 -> 310[label="",style="dashed", color="magenta", weight=3]; 166 -> 311[label="",style="dashed", color="magenta", weight=3]; 167 -> 33[label="",style="dashed", color="red", weight=0]; 167[label="xy300 == xy400",fontsize=16,color="magenta"];167 -> 312[label="",style="dashed", color="magenta", weight=3]; 167 -> 313[label="",style="dashed", color="magenta", weight=3]; 168 -> 34[label="",style="dashed", color="red", weight=0]; 168[label="xy300 == xy400",fontsize=16,color="magenta"];168 -> 314[label="",style="dashed", color="magenta", weight=3]; 168 -> 315[label="",style="dashed", color="magenta", weight=3]; 169 -> 35[label="",style="dashed", color="red", weight=0]; 169[label="xy300 == xy400",fontsize=16,color="magenta"];169 -> 316[label="",style="dashed", color="magenta", weight=3]; 169 -> 317[label="",style="dashed", color="magenta", weight=3]; 170 -> 36[label="",style="dashed", color="red", weight=0]; 170[label="xy300 == xy400",fontsize=16,color="magenta"];170 -> 318[label="",style="dashed", color="magenta", weight=3]; 170 -> 319[label="",style="dashed", color="magenta", weight=3]; 171 -> 23[label="",style="dashed", color="red", weight=0]; 171[label="xy300 == xy400",fontsize=16,color="magenta"];171 -> 320[label="",style="dashed", color="magenta", weight=3]; 171 -> 321[label="",style="dashed", color="magenta", weight=3]; 172 -> 24[label="",style="dashed", color="red", weight=0]; 172[label="xy300 == xy400",fontsize=16,color="magenta"];172 -> 322[label="",style="dashed", color="magenta", weight=3]; 172 -> 323[label="",style="dashed", color="magenta", weight=3]; 173 -> 25[label="",style="dashed", color="red", weight=0]; 173[label="xy300 == xy400",fontsize=16,color="magenta"];173 -> 324[label="",style="dashed", color="magenta", weight=3]; 173 -> 325[label="",style="dashed", color="magenta", weight=3]; 174 -> 26[label="",style="dashed", color="red", weight=0]; 174[label="xy300 == xy400",fontsize=16,color="magenta"];174 -> 326[label="",style="dashed", color="magenta", weight=3]; 174 -> 327[label="",style="dashed", color="magenta", weight=3]; 175 -> 27[label="",style="dashed", color="red", weight=0]; 175[label="xy300 == xy400",fontsize=16,color="magenta"];175 -> 328[label="",style="dashed", color="magenta", weight=3]; 175 -> 329[label="",style="dashed", color="magenta", weight=3]; 176 -> 28[label="",style="dashed", color="red", weight=0]; 176[label="xy300 == xy400",fontsize=16,color="magenta"];176 -> 330[label="",style="dashed", color="magenta", weight=3]; 176 -> 331[label="",style="dashed", color="magenta", weight=3]; 177 -> 29[label="",style="dashed", color="red", weight=0]; 177[label="xy300 == xy400",fontsize=16,color="magenta"];177 -> 332[label="",style="dashed", color="magenta", weight=3]; 177 -> 333[label="",style="dashed", color="magenta", weight=3]; 178 -> 30[label="",style="dashed", color="red", weight=0]; 178[label="xy300 == xy400",fontsize=16,color="magenta"];178 -> 334[label="",style="dashed", color="magenta", weight=3]; 178 -> 335[label="",style="dashed", color="magenta", weight=3]; 179 -> 31[label="",style="dashed", color="red", weight=0]; 179[label="xy300 == xy400",fontsize=16,color="magenta"];179 -> 336[label="",style="dashed", color="magenta", weight=3]; 179 -> 337[label="",style="dashed", color="magenta", weight=3]; 180 -> 32[label="",style="dashed", color="red", weight=0]; 180[label="xy300 == xy400",fontsize=16,color="magenta"];180 -> 338[label="",style="dashed", color="magenta", weight=3]; 180 -> 339[label="",style="dashed", color="magenta", weight=3]; 181 -> 33[label="",style="dashed", color="red", weight=0]; 181[label="xy300 == xy400",fontsize=16,color="magenta"];181 -> 340[label="",style="dashed", color="magenta", weight=3]; 181 -> 341[label="",style="dashed", color="magenta", weight=3]; 182 -> 34[label="",style="dashed", color="red", weight=0]; 182[label="xy300 == xy400",fontsize=16,color="magenta"];182 -> 342[label="",style="dashed", color="magenta", weight=3]; 182 -> 343[label="",style="dashed", color="magenta", weight=3]; 183 -> 35[label="",style="dashed", color="red", weight=0]; 183[label="xy300 == xy400",fontsize=16,color="magenta"];183 -> 344[label="",style="dashed", color="magenta", weight=3]; 183 -> 345[label="",style="dashed", color="magenta", weight=3]; 184 -> 36[label="",style="dashed", color="red", weight=0]; 184[label="xy300 == xy400",fontsize=16,color="magenta"];184 -> 346[label="",style="dashed", color="magenta", weight=3]; 184 -> 347[label="",style="dashed", color="magenta", weight=3]; 185 -> 34[label="",style="dashed", color="red", weight=0]; 185[label="xy300 * xy401 == xy301 * xy400",fontsize=16,color="magenta"];185 -> 348[label="",style="dashed", color="magenta", weight=3]; 185 -> 349[label="",style="dashed", color="magenta", weight=3]; 186[label="xy400",fontsize=16,color="green",shape="box"];187[label="xy300",fontsize=16,color="green",shape="box"];188[label="primEqInt (Pos (Succ xy3000)) (Pos xy400)",fontsize=16,color="burlywood",shape="box"];841[label="xy400/Succ xy4000",fontsize=10,color="white",style="solid",shape="box"];188 -> 841[label="",style="solid", color="burlywood", weight=9]; 841 -> 350[label="",style="solid", color="burlywood", weight=3]; 842[label="xy400/Zero",fontsize=10,color="white",style="solid",shape="box"];188 -> 842[label="",style="solid", color="burlywood", weight=9]; 842 -> 351[label="",style="solid", color="burlywood", weight=3]; 189[label="primEqInt (Pos (Succ xy3000)) (Neg xy400)",fontsize=16,color="black",shape="box"];189 -> 352[label="",style="solid", color="black", weight=3]; 190[label="primEqInt (Pos Zero) (Pos xy400)",fontsize=16,color="burlywood",shape="box"];843[label="xy400/Succ xy4000",fontsize=10,color="white",style="solid",shape="box"];190 -> 843[label="",style="solid", color="burlywood", weight=9]; 843 -> 353[label="",style="solid", color="burlywood", weight=3]; 844[label="xy400/Zero",fontsize=10,color="white",style="solid",shape="box"];190 -> 844[label="",style="solid", color="burlywood", weight=9]; 844 -> 354[label="",style="solid", color="burlywood", weight=3]; 191[label="primEqInt (Pos Zero) (Neg xy400)",fontsize=16,color="burlywood",shape="box"];845[label="xy400/Succ xy4000",fontsize=10,color="white",style="solid",shape="box"];191 -> 845[label="",style="solid", color="burlywood", weight=9]; 845 -> 355[label="",style="solid", color="burlywood", weight=3]; 846[label="xy400/Zero",fontsize=10,color="white",style="solid",shape="box"];191 -> 846[label="",style="solid", color="burlywood", weight=9]; 846 -> 356[label="",style="solid", color="burlywood", weight=3]; 192[label="primEqInt (Neg (Succ xy3000)) (Pos xy400)",fontsize=16,color="black",shape="box"];192 -> 357[label="",style="solid", color="black", weight=3]; 193[label="primEqInt (Neg (Succ xy3000)) (Neg xy400)",fontsize=16,color="burlywood",shape="box"];847[label="xy400/Succ xy4000",fontsize=10,color="white",style="solid",shape="box"];193 -> 847[label="",style="solid", color="burlywood", weight=9]; 847 -> 358[label="",style="solid", color="burlywood", weight=3]; 848[label="xy400/Zero",fontsize=10,color="white",style="solid",shape="box"];193 -> 848[label="",style="solid", color="burlywood", weight=9]; 848 -> 359[label="",style="solid", color="burlywood", weight=3]; 194[label="primEqInt (Neg Zero) (Pos xy400)",fontsize=16,color="burlywood",shape="box"];849[label="xy400/Succ xy4000",fontsize=10,color="white",style="solid",shape="box"];194 -> 849[label="",style="solid", color="burlywood", weight=9]; 849 -> 360[label="",style="solid", color="burlywood", weight=3]; 850[label="xy400/Zero",fontsize=10,color="white",style="solid",shape="box"];194 -> 850[label="",style="solid", color="burlywood", weight=9]; 850 -> 361[label="",style="solid", color="burlywood", weight=3]; 195[label="primEqInt (Neg Zero) (Neg xy400)",fontsize=16,color="burlywood",shape="box"];851[label="xy400/Succ xy4000",fontsize=10,color="white",style="solid",shape="box"];195 -> 851[label="",style="solid", color="burlywood", weight=9]; 851 -> 362[label="",style="solid", color="burlywood", weight=3]; 852[label="xy400/Zero",fontsize=10,color="white",style="solid",shape="box"];195 -> 852[label="",style="solid", color="burlywood", weight=9]; 852 -> 363[label="",style="solid", color="burlywood", weight=3]; 196[label="xy302 == xy402",fontsize=16,color="blue",shape="box"];853[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];196 -> 853[label="",style="solid", color="blue", weight=9]; 853 -> 364[label="",style="solid", color="blue", weight=3]; 854[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];196 -> 854[label="",style="solid", color="blue", weight=9]; 854 -> 365[label="",style="solid", color="blue", weight=3]; 855[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];196 -> 855[label="",style="solid", color="blue", weight=9]; 855 -> 366[label="",style="solid", color="blue", weight=3]; 856[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];196 -> 856[label="",style="solid", color="blue", weight=9]; 856 -> 367[label="",style="solid", color="blue", weight=3]; 857[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];196 -> 857[label="",style="solid", color="blue", weight=9]; 857 -> 368[label="",style="solid", color="blue", weight=3]; 858[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];196 -> 858[label="",style="solid", color="blue", weight=9]; 858 -> 369[label="",style="solid", color="blue", weight=3]; 859[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];196 -> 859[label="",style="solid", color="blue", weight=9]; 859 -> 370[label="",style="solid", color="blue", weight=3]; 860[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];196 -> 860[label="",style="solid", color="blue", weight=9]; 860 -> 371[label="",style="solid", color="blue", weight=3]; 861[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];196 -> 861[label="",style="solid", color="blue", weight=9]; 861 -> 372[label="",style="solid", color="blue", weight=3]; 862[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];196 -> 862[label="",style="solid", color="blue", weight=9]; 862 -> 373[label="",style="solid", color="blue", weight=3]; 863[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];196 -> 863[label="",style="solid", color="blue", weight=9]; 863 -> 374[label="",style="solid", color="blue", weight=3]; 864[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];196 -> 864[label="",style="solid", color="blue", weight=9]; 864 -> 375[label="",style="solid", color="blue", weight=3]; 865[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];196 -> 865[label="",style="solid", color="blue", weight=9]; 865 -> 376[label="",style="solid", color="blue", weight=3]; 866[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];196 -> 866[label="",style="solid", color="blue", weight=9]; 866 -> 377[label="",style="solid", color="blue", weight=3]; 197[label="xy301 == xy401",fontsize=16,color="blue",shape="box"];867[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];197 -> 867[label="",style="solid", color="blue", weight=9]; 867 -> 378[label="",style="solid", color="blue", weight=3]; 868[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];197 -> 868[label="",style="solid", color="blue", weight=9]; 868 -> 379[label="",style="solid", color="blue", weight=3]; 869[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];197 -> 869[label="",style="solid", color="blue", weight=9]; 869 -> 380[label="",style="solid", color="blue", weight=3]; 870[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];197 -> 870[label="",style="solid", color="blue", weight=9]; 870 -> 381[label="",style="solid", color="blue", weight=3]; 871[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];197 -> 871[label="",style="solid", color="blue", weight=9]; 871 -> 382[label="",style="solid", color="blue", weight=3]; 872[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];197 -> 872[label="",style="solid", color="blue", weight=9]; 872 -> 383[label="",style="solid", color="blue", weight=3]; 873[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];197 -> 873[label="",style="solid", color="blue", weight=9]; 873 -> 384[label="",style="solid", color="blue", weight=3]; 874[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];197 -> 874[label="",style="solid", color="blue", weight=9]; 874 -> 385[label="",style="solid", color="blue", weight=3]; 875[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];197 -> 875[label="",style="solid", color="blue", weight=9]; 875 -> 386[label="",style="solid", color="blue", weight=3]; 876[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];197 -> 876[label="",style="solid", color="blue", weight=9]; 876 -> 387[label="",style="solid", color="blue", weight=3]; 877[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];197 -> 877[label="",style="solid", color="blue", weight=9]; 877 -> 388[label="",style="solid", color="blue", weight=3]; 878[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];197 -> 878[label="",style="solid", color="blue", weight=9]; 878 -> 389[label="",style="solid", color="blue", weight=3]; 879[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];197 -> 879[label="",style="solid", color="blue", weight=9]; 879 -> 390[label="",style="solid", color="blue", weight=3]; 880[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];197 -> 880[label="",style="solid", color="blue", weight=9]; 880 -> 391[label="",style="solid", color="blue", weight=3]; 198 -> 23[label="",style="dashed", color="red", weight=0]; 198[label="xy300 == xy400",fontsize=16,color="magenta"];198 -> 392[label="",style="dashed", color="magenta", weight=3]; 198 -> 393[label="",style="dashed", color="magenta", weight=3]; 199 -> 24[label="",style="dashed", color="red", weight=0]; 199[label="xy300 == xy400",fontsize=16,color="magenta"];199 -> 394[label="",style="dashed", color="magenta", weight=3]; 199 -> 395[label="",style="dashed", color="magenta", weight=3]; 200 -> 25[label="",style="dashed", color="red", weight=0]; 200[label="xy300 == xy400",fontsize=16,color="magenta"];200 -> 396[label="",style="dashed", color="magenta", weight=3]; 200 -> 397[label="",style="dashed", color="magenta", weight=3]; 201 -> 26[label="",style="dashed", color="red", weight=0]; 201[label="xy300 == xy400",fontsize=16,color="magenta"];201 -> 398[label="",style="dashed", color="magenta", weight=3]; 201 -> 399[label="",style="dashed", color="magenta", weight=3]; 202 -> 27[label="",style="dashed", color="red", weight=0]; 202[label="xy300 == xy400",fontsize=16,color="magenta"];202 -> 400[label="",style="dashed", color="magenta", weight=3]; 202 -> 401[label="",style="dashed", color="magenta", weight=3]; 203 -> 28[label="",style="dashed", color="red", weight=0]; 203[label="xy300 == xy400",fontsize=16,color="magenta"];203 -> 402[label="",style="dashed", color="magenta", weight=3]; 203 -> 403[label="",style="dashed", color="magenta", weight=3]; 204 -> 29[label="",style="dashed", color="red", weight=0]; 204[label="xy300 == xy400",fontsize=16,color="magenta"];204 -> 404[label="",style="dashed", color="magenta", weight=3]; 204 -> 405[label="",style="dashed", color="magenta", weight=3]; 205 -> 30[label="",style="dashed", color="red", weight=0]; 205[label="xy300 == xy400",fontsize=16,color="magenta"];205 -> 406[label="",style="dashed", color="magenta", weight=3]; 205 -> 407[label="",style="dashed", color="magenta", weight=3]; 206 -> 31[label="",style="dashed", color="red", weight=0]; 206[label="xy300 == xy400",fontsize=16,color="magenta"];206 -> 408[label="",style="dashed", color="magenta", weight=3]; 206 -> 409[label="",style="dashed", color="magenta", weight=3]; 207 -> 32[label="",style="dashed", color="red", weight=0]; 207[label="xy300 == xy400",fontsize=16,color="magenta"];207 -> 410[label="",style="dashed", color="magenta", weight=3]; 207 -> 411[label="",style="dashed", color="magenta", weight=3]; 208 -> 33[label="",style="dashed", color="red", weight=0]; 208[label="xy300 == xy400",fontsize=16,color="magenta"];208 -> 412[label="",style="dashed", color="magenta", weight=3]; 208 -> 413[label="",style="dashed", color="magenta", weight=3]; 209 -> 34[label="",style="dashed", color="red", weight=0]; 209[label="xy300 == xy400",fontsize=16,color="magenta"];209 -> 414[label="",style="dashed", color="magenta", weight=3]; 209 -> 415[label="",style="dashed", color="magenta", weight=3]; 210 -> 35[label="",style="dashed", color="red", weight=0]; 210[label="xy300 == xy400",fontsize=16,color="magenta"];210 -> 416[label="",style="dashed", color="magenta", weight=3]; 210 -> 417[label="",style="dashed", color="magenta", weight=3]; 211 -> 36[label="",style="dashed", color="red", weight=0]; 211[label="xy300 == xy400",fontsize=16,color="magenta"];211 -> 418[label="",style="dashed", color="magenta", weight=3]; 211 -> 419[label="",style="dashed", color="magenta", weight=3]; 212[label="xy301 * xy400",fontsize=16,color="black",shape="triangle"];212 -> 420[label="",style="solid", color="black", weight=3]; 213 -> 212[label="",style="dashed", color="red", weight=0]; 213[label="xy300 * xy401",fontsize=16,color="magenta"];213 -> 421[label="",style="dashed", color="magenta", weight=3]; 213 -> 422[label="",style="dashed", color="magenta", weight=3]; 214[label="xy401",fontsize=16,color="green",shape="box"];215[label="xy301",fontsize=16,color="green",shape="box"];216 -> 23[label="",style="dashed", color="red", weight=0]; 216[label="xy300 == xy400",fontsize=16,color="magenta"];216 -> 423[label="",style="dashed", color="magenta", weight=3]; 216 -> 424[label="",style="dashed", color="magenta", weight=3]; 217 -> 24[label="",style="dashed", color="red", weight=0]; 217[label="xy300 == xy400",fontsize=16,color="magenta"];217 -> 425[label="",style="dashed", color="magenta", weight=3]; 217 -> 426[label="",style="dashed", color="magenta", weight=3]; 218 -> 25[label="",style="dashed", color="red", weight=0]; 218[label="xy300 == xy400",fontsize=16,color="magenta"];218 -> 427[label="",style="dashed", color="magenta", weight=3]; 218 -> 428[label="",style="dashed", color="magenta", weight=3]; 219 -> 26[label="",style="dashed", color="red", weight=0]; 219[label="xy300 == xy400",fontsize=16,color="magenta"];219 -> 429[label="",style="dashed", color="magenta", weight=3]; 219 -> 430[label="",style="dashed", color="magenta", weight=3]; 220 -> 27[label="",style="dashed", color="red", weight=0]; 220[label="xy300 == xy400",fontsize=16,color="magenta"];220 -> 431[label="",style="dashed", color="magenta", weight=3]; 220 -> 432[label="",style="dashed", color="magenta", weight=3]; 221 -> 28[label="",style="dashed", color="red", weight=0]; 221[label="xy300 == xy400",fontsize=16,color="magenta"];221 -> 433[label="",style="dashed", color="magenta", weight=3]; 221 -> 434[label="",style="dashed", color="magenta", weight=3]; 222 -> 29[label="",style="dashed", color="red", weight=0]; 222[label="xy300 == xy400",fontsize=16,color="magenta"];222 -> 435[label="",style="dashed", color="magenta", weight=3]; 222 -> 436[label="",style="dashed", color="magenta", weight=3]; 223 -> 30[label="",style="dashed", color="red", weight=0]; 223[label="xy300 == xy400",fontsize=16,color="magenta"];223 -> 437[label="",style="dashed", color="magenta", weight=3]; 223 -> 438[label="",style="dashed", color="magenta", weight=3]; 224 -> 31[label="",style="dashed", color="red", weight=0]; 224[label="xy300 == xy400",fontsize=16,color="magenta"];224 -> 439[label="",style="dashed", color="magenta", weight=3]; 224 -> 440[label="",style="dashed", color="magenta", weight=3]; 225 -> 32[label="",style="dashed", color="red", weight=0]; 225[label="xy300 == xy400",fontsize=16,color="magenta"];225 -> 441[label="",style="dashed", color="magenta", weight=3]; 225 -> 442[label="",style="dashed", color="magenta", weight=3]; 226 -> 33[label="",style="dashed", color="red", weight=0]; 226[label="xy300 == xy400",fontsize=16,color="magenta"];226 -> 443[label="",style="dashed", color="magenta", weight=3]; 226 -> 444[label="",style="dashed", color="magenta", weight=3]; 227 -> 34[label="",style="dashed", color="red", weight=0]; 227[label="xy300 == xy400",fontsize=16,color="magenta"];227 -> 445[label="",style="dashed", color="magenta", weight=3]; 227 -> 446[label="",style="dashed", color="magenta", weight=3]; 228 -> 35[label="",style="dashed", color="red", weight=0]; 228[label="xy300 == xy400",fontsize=16,color="magenta"];228 -> 447[label="",style="dashed", color="magenta", weight=3]; 228 -> 448[label="",style="dashed", color="magenta", weight=3]; 229 -> 36[label="",style="dashed", color="red", weight=0]; 229[label="xy300 == xy400",fontsize=16,color="magenta"];229 -> 449[label="",style="dashed", color="magenta", weight=3]; 229 -> 450[label="",style="dashed", color="magenta", weight=3]; 230[label="primEqNat (Succ xy3000) xy400",fontsize=16,color="burlywood",shape="box"];881[label="xy400/Succ xy4000",fontsize=10,color="white",style="solid",shape="box"];230 -> 881[label="",style="solid", color="burlywood", weight=9]; 881 -> 451[label="",style="solid", color="burlywood", weight=3]; 882[label="xy400/Zero",fontsize=10,color="white",style="solid",shape="box"];230 -> 882[label="",style="solid", color="burlywood", weight=9]; 882 -> 452[label="",style="solid", color="burlywood", weight=3]; 231[label="primEqNat Zero xy400",fontsize=16,color="burlywood",shape="box"];883[label="xy400/Succ xy4000",fontsize=10,color="white",style="solid",shape="box"];231 -> 883[label="",style="solid", color="burlywood", weight=9]; 883 -> 453[label="",style="solid", color="burlywood", weight=3]; 884[label="xy400/Zero",fontsize=10,color="white",style="solid",shape="box"];231 -> 884[label="",style="solid", color="burlywood", weight=9]; 884 -> 454[label="",style="solid", color="burlywood", weight=3]; 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="xy400",fontsize=16,color="green",shape="box"];253[label="xy300",fontsize=16,color="green",shape="box"];254[label="xy400",fontsize=16,color="green",shape="box"];255[label="xy300",fontsize=16,color="green",shape="box"];256[label="xy400",fontsize=16,color="green",shape="box"];257[label="xy300",fontsize=16,color="green",shape="box"];258[label="xy400",fontsize=16,color="green",shape="box"];259[label="xy300",fontsize=16,color="green",shape="box"];260 -> 33[label="",style="dashed", color="red", weight=0]; 260[label="xy301 == xy401",fontsize=16,color="magenta"];260 -> 455[label="",style="dashed", color="magenta", weight=3]; 260 -> 456[label="",style="dashed", color="magenta", weight=3]; 261 -> 34[label="",style="dashed", color="red", weight=0]; 261[label="xy301 == xy401",fontsize=16,color="magenta"];261 -> 457[label="",style="dashed", color="magenta", weight=3]; 261 -> 458[label="",style="dashed", color="magenta", weight=3]; 262 -> 33[label="",style="dashed", color="red", weight=0]; 262[label="xy300 == xy400",fontsize=16,color="magenta"];262 -> 459[label="",style="dashed", color="magenta", weight=3]; 262 -> 460[label="",style="dashed", color="magenta", weight=3]; 263 -> 34[label="",style="dashed", color="red", weight=0]; 263[label="xy300 == xy400",fontsize=16,color="magenta"];263 -> 461[label="",style="dashed", color="magenta", weight=3]; 263 -> 462[label="",style="dashed", color="magenta", weight=3]; 264 -> 23[label="",style="dashed", color="red", weight=0]; 264[label="xy301 == xy401",fontsize=16,color="magenta"];264 -> 463[label="",style="dashed", color="magenta", weight=3]; 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348[label="xy301 * xy400",fontsize=16,color="magenta"];348 -> 519[label="",style="dashed", color="magenta", weight=3]; 348 -> 520[label="",style="dashed", color="magenta", weight=3]; 349 -> 212[label="",style="dashed", color="red", weight=0]; 349[label="xy300 * xy401",fontsize=16,color="magenta"];349 -> 521[label="",style="dashed", color="magenta", weight=3]; 349 -> 522[label="",style="dashed", color="magenta", weight=3]; 350[label="primEqInt (Pos (Succ xy3000)) (Pos (Succ xy4000))",fontsize=16,color="black",shape="box"];350 -> 523[label="",style="solid", color="black", weight=3]; 351[label="primEqInt (Pos (Succ xy3000)) (Pos Zero)",fontsize=16,color="black",shape="box"];351 -> 524[label="",style="solid", color="black", weight=3]; 352[label="False",fontsize=16,color="green",shape="box"];353[label="primEqInt (Pos Zero) (Pos (Succ xy4000))",fontsize=16,color="black",shape="box"];353 -> 525[label="",style="solid", color="black", weight=3]; 354[label="primEqInt (Pos Zero) (Pos Zero)",fontsize=16,color="black",shape="box"];354 -> 526[label="",style="solid", color="black", weight=3]; 355[label="primEqInt (Pos Zero) (Neg (Succ xy4000))",fontsize=16,color="black",shape="box"];355 -> 527[label="",style="solid", color="black", weight=3]; 356[label="primEqInt (Pos Zero) (Neg Zero)",fontsize=16,color="black",shape="box"];356 -> 528[label="",style="solid", color="black", weight=3]; 357[label="False",fontsize=16,color="green",shape="box"];358[label="primEqInt (Neg (Succ xy3000)) (Neg (Succ xy4000))",fontsize=16,color="black",shape="box"];358 -> 529[label="",style="solid", color="black", weight=3]; 359[label="primEqInt (Neg (Succ xy3000)) (Neg Zero)",fontsize=16,color="black",shape="box"];359 -> 530[label="",style="solid", color="black", weight=3]; 360[label="primEqInt (Neg Zero) (Pos (Succ xy4000))",fontsize=16,color="black",shape="box"];360 -> 531[label="",style="solid", color="black", weight=3]; 361[label="primEqInt (Neg Zero) (Pos Zero)",fontsize=16,color="black",shape="box"];361 -> 532[label="",style="solid", color="black", weight=3]; 362[label="primEqInt (Neg Zero) (Neg (Succ xy4000))",fontsize=16,color="black",shape="box"];362 -> 533[label="",style="solid", color="black", weight=3]; 363[label="primEqInt (Neg Zero) (Neg Zero)",fontsize=16,color="black",shape="box"];363 -> 534[label="",style="solid", color="black", weight=3]; 364 -> 23[label="",style="dashed", color="red", weight=0]; 364[label="xy302 == xy402",fontsize=16,color="magenta"];364 -> 535[label="",style="dashed", color="magenta", weight=3]; 364 -> 536[label="",style="dashed", color="magenta", weight=3]; 365 -> 24[label="",style="dashed", color="red", weight=0]; 365[label="xy302 == xy402",fontsize=16,color="magenta"];365 -> 537[label="",style="dashed", color="magenta", weight=3]; 365 -> 538[label="",style="dashed", color="magenta", weight=3]; 366 -> 25[label="",style="dashed", color="red", weight=0]; 366[label="xy302 == xy402",fontsize=16,color="magenta"];366 -> 539[label="",style="dashed", color="magenta", weight=3]; 366 -> 540[label="",style="dashed", color="magenta", weight=3]; 367 -> 26[label="",style="dashed", color="red", weight=0]; 367[label="xy302 == xy402",fontsize=16,color="magenta"];367 -> 541[label="",style="dashed", color="magenta", weight=3]; 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380 -> 568[label="",style="dashed", color="magenta", weight=3]; 381 -> 26[label="",style="dashed", color="red", weight=0]; 381[label="xy301 == xy401",fontsize=16,color="magenta"];381 -> 569[label="",style="dashed", color="magenta", weight=3]; 381 -> 570[label="",style="dashed", color="magenta", weight=3]; 382 -> 27[label="",style="dashed", color="red", weight=0]; 382[label="xy301 == xy401",fontsize=16,color="magenta"];382 -> 571[label="",style="dashed", color="magenta", weight=3]; 382 -> 572[label="",style="dashed", color="magenta", weight=3]; 383 -> 28[label="",style="dashed", color="red", weight=0]; 383[label="xy301 == xy401",fontsize=16,color="magenta"];383 -> 573[label="",style="dashed", color="magenta", weight=3]; 383 -> 574[label="",style="dashed", color="magenta", weight=3]; 384 -> 29[label="",style="dashed", color="red", weight=0]; 384[label="xy301 == xy401",fontsize=16,color="magenta"];384 -> 575[label="",style="dashed", color="magenta", weight=3]; 384 -> 576[label="",style="dashed", color="magenta", weight=3]; 385 -> 30[label="",style="dashed", color="red", weight=0]; 385[label="xy301 == xy401",fontsize=16,color="magenta"];385 -> 577[label="",style="dashed", color="magenta", weight=3]; 385 -> 578[label="",style="dashed", color="magenta", weight=3]; 386 -> 31[label="",style="dashed", color="red", weight=0]; 386[label="xy301 == xy401",fontsize=16,color="magenta"];386 -> 579[label="",style="dashed", color="magenta", weight=3]; 386 -> 580[label="",style="dashed", color="magenta", weight=3]; 387 -> 32[label="",style="dashed", color="red", weight=0]; 387[label="xy301 == xy401",fontsize=16,color="magenta"];387 -> 581[label="",style="dashed", color="magenta", weight=3]; 387 -> 582[label="",style="dashed", color="magenta", weight=3]; 388 -> 33[label="",style="dashed", color="red", weight=0]; 388[label="xy301 == xy401",fontsize=16,color="magenta"];388 -> 583[label="",style="dashed", color="magenta", weight=3]; 388 -> 584[label="",style="dashed", color="magenta", weight=3]; 389 -> 34[label="",style="dashed", color="red", weight=0]; 389[label="xy301 == xy401",fontsize=16,color="magenta"];389 -> 585[label="",style="dashed", color="magenta", weight=3]; 389 -> 586[label="",style="dashed", color="magenta", weight=3]; 390 -> 35[label="",style="dashed", color="red", weight=0]; 390[label="xy301 == xy401",fontsize=16,color="magenta"];390 -> 587[label="",style="dashed", color="magenta", weight=3]; 390 -> 588[label="",style="dashed", color="magenta", weight=3]; 391 -> 36[label="",style="dashed", color="red", weight=0]; 391[label="xy301 == xy401",fontsize=16,color="magenta"];391 -> 589[label="",style="dashed", color="magenta", weight=3]; 391 -> 590[label="",style="dashed", color="magenta", weight=3]; 392[label="xy400",fontsize=16,color="green",shape="box"];393[label="xy300",fontsize=16,color="green",shape="box"];394[label="xy400",fontsize=16,color="green",shape="box"];395[label="xy300",fontsize=16,color="green",shape="box"];396[label="xy400",fontsize=16,color="green",shape="box"];397[label="xy300",fontsize=16,color="green",shape="box"];398[label="xy400",fontsize=16,color="green",shape="box"];399[label="xy300",fontsize=16,color="green",shape="box"];400[label="xy400",fontsize=16,color="green",shape="box"];401[label="xy300",fontsize=16,color="green",shape="box"];402[label="xy400",fontsize=16,color="green",shape="box"];403[label="xy300",fontsize=16,color="green",shape="box"];404[label="xy400",fontsize=16,color="green",shape="box"];405[label="xy300",fontsize=16,color="green",shape="box"];406[label="xy400",fontsize=16,color="green",shape="box"];407[label="xy300",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="xy400",fontsize=16,color="green",shape="box"];413[label="xy300",fontsize=16,color="green",shape="box"];414[label="xy400",fontsize=16,color="green",shape="box"];415[label="xy300",fontsize=16,color="green",shape="box"];416[label="xy400",fontsize=16,color="green",shape="box"];417[label="xy300",fontsize=16,color="green",shape="box"];418[label="xy400",fontsize=16,color="green",shape="box"];419[label="xy300",fontsize=16,color="green",shape="box"];420[label="primMulInt xy301 xy400",fontsize=16,color="burlywood",shape="box"];885[label="xy301/Pos xy3010",fontsize=10,color="white",style="solid",shape="box"];420 -> 885[label="",style="solid", color="burlywood", weight=9]; 885 -> 591[label="",style="solid", color="burlywood", weight=3]; 886[label="xy301/Neg xy3010",fontsize=10,color="white",style="solid",shape="box"];420 -> 886[label="",style="solid", color="burlywood", weight=9]; 886 -> 592[label="",style="solid", color="burlywood", weight=3]; 421[label="xy300",fontsize=16,color="green",shape="box"];422[label="xy401",fontsize=16,color="green",shape="box"];423[label="xy400",fontsize=16,color="green",shape="box"];424[label="xy300",fontsize=16,color="green",shape="box"];425[label="xy400",fontsize=16,color="green",shape="box"];426[label="xy300",fontsize=16,color="green",shape="box"];427[label="xy400",fontsize=16,color="green",shape="box"];428[label="xy300",fontsize=16,color="green",shape="box"];429[label="xy400",fontsize=16,color="green",shape="box"];430[label="xy300",fontsize=16,color="green",shape="box"];431[label="xy400",fontsize=16,color="green",shape="box"];432[label="xy300",fontsize=16,color="green",shape="box"];433[label="xy400",fontsize=16,color="green",shape="box"];434[label="xy300",fontsize=16,color="green",shape="box"];435[label="xy400",fontsize=16,color="green",shape="box"];436[label="xy300",fontsize=16,color="green",shape="box"];437[label="xy400",fontsize=16,color="green",shape="box"];438[label="xy300",fontsize=16,color="green",shape="box"];439[label="xy400",fontsize=16,color="green",shape="box"];440[label="xy300",fontsize=16,color="green",shape="box"];441[label="xy400",fontsize=16,color="green",shape="box"];442[label="xy300",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="primEqNat (Succ xy3000) (Succ xy4000)",fontsize=16,color="black",shape="box"];451 -> 593[label="",style="solid", color="black", weight=3]; 452[label="primEqNat (Succ xy3000) Zero",fontsize=16,color="black",shape="box"];452 -> 594[label="",style="solid", color="black", weight=3]; 453[label="primEqNat Zero (Succ xy4000)",fontsize=16,color="black",shape="box"];453 -> 595[label="",style="solid", color="black", weight=3]; 454[label="primEqNat Zero Zero",fontsize=16,color="black",shape="box"];454 -> 596[label="",style="solid", color="black", weight=3]; 455[label="xy401",fontsize=16,color="green",shape="box"];456[label="xy301",fontsize=16,color="green",shape="box"];457[label="xy401",fontsize=16,color="green",shape="box"];458[label="xy301",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="xy401",fontsize=16,color="green",shape="box"];464[label="xy301",fontsize=16,color="green",shape="box"];465[label="xy401",fontsize=16,color="green",shape="box"];466[label="xy301",fontsize=16,color="green",shape="box"];467[label="xy401",fontsize=16,color="green",shape="box"];468[label="xy301",fontsize=16,color="green",shape="box"];469[label="xy401",fontsize=16,color="green",shape="box"];470[label="xy301",fontsize=16,color="green",shape="box"];471[label="xy401",fontsize=16,color="green",shape="box"];472[label="xy301",fontsize=16,color="green",shape="box"];473[label="xy401",fontsize=16,color="green",shape="box"];474[label="xy301",fontsize=16,color="green",shape="box"];475[label="xy401",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="xy301",fontsize=16,color="green",shape="box"];479[label="xy401",fontsize=16,color="green",shape="box"];480[label="xy301",fontsize=16,color="green",shape="box"];481[label="xy401",fontsize=16,color="green",shape="box"];482[label="xy301",fontsize=16,color="green",shape="box"];483[label="xy401",fontsize=16,color="green",shape="box"];484[label="xy301",fontsize=16,color="green",shape="box"];485[label="xy401",fontsize=16,color="green",shape="box"];486[label="xy301",fontsize=16,color="green",shape="box"];487[label="xy401",fontsize=16,color="green",shape="box"];488[label="xy301",fontsize=16,color="green",shape="box"];489[label="xy401",fontsize=16,color="green",shape="box"];490[label="xy301",fontsize=16,color="green",shape="box"];491[label="xy400",fontsize=16,color="green",shape="box"];492[label="xy300",fontsize=16,color="green",shape="box"];493[label="xy400",fontsize=16,color="green",shape="box"];494[label="xy300",fontsize=16,color="green",shape="box"];495[label="xy400",fontsize=16,color="green",shape="box"];496[label="xy300",fontsize=16,color="green",shape="box"];497[label="xy400",fontsize=16,color="green",shape="box"];498[label="xy300",fontsize=16,color="green",shape="box"];499[label="xy400",fontsize=16,color="green",shape="box"];500[label="xy300",fontsize=16,color="green",shape="box"];501[label="xy400",fontsize=16,color="green",shape="box"];502[label="xy300",fontsize=16,color="green",shape="box"];503[label="xy400",fontsize=16,color="green",shape="box"];504[label="xy300",fontsize=16,color="green",shape="box"];505[label="xy400",fontsize=16,color="green",shape="box"];506[label="xy300",fontsize=16,color="green",shape="box"];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="xy301",fontsize=16,color="green",shape="box"];520[label="xy400",fontsize=16,color="green",shape="box"];521[label="xy300",fontsize=16,color="green",shape="box"];522[label="xy401",fontsize=16,color="green",shape="box"];523 -> 138[label="",style="dashed", color="red", weight=0]; 523[label="primEqNat xy3000 xy4000",fontsize=16,color="magenta"];523 -> 597[label="",style="dashed", color="magenta", weight=3]; 523 -> 598[label="",style="dashed", color="magenta", weight=3]; 524[label="False",fontsize=16,color="green",shape="box"];525[label="False",fontsize=16,color="green",shape="box"];526[label="True",fontsize=16,color="green",shape="box"];527[label="False",fontsize=16,color="green",shape="box"];528[label="True",fontsize=16,color="green",shape="box"];529 -> 138[label="",style="dashed", color="red", weight=0]; 529[label="primEqNat xy3000 xy4000",fontsize=16,color="magenta"];529 -> 599[label="",style="dashed", color="magenta", weight=3]; 529 -> 600[label="",style="dashed", color="magenta", weight=3]; 530[label="False",fontsize=16,color="green",shape="box"];531[label="False",fontsize=16,color="green",shape="box"];532[label="True",fontsize=16,color="green",shape="box"];533[label="False",fontsize=16,color="green",shape="box"];534[label="True",fontsize=16,color="green",shape="box"];535[label="xy402",fontsize=16,color="green",shape="box"];536[label="xy302",fontsize=16,color="green",shape="box"];537[label="xy402",fontsize=16,color="green",shape="box"];538[label="xy302",fontsize=16,color="green",shape="box"];539[label="xy402",fontsize=16,color="green",shape="box"];540[label="xy302",fontsize=16,color="green",shape="box"];541[label="xy402",fontsize=16,color="green",shape="box"];542[label="xy302",fontsize=16,color="green",shape="box"];543[label="xy402",fontsize=16,color="green",shape="box"];544[label="xy302",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="xy401",fontsize=16,color="green",shape="box"];564[label="xy301",fontsize=16,color="green",shape="box"];565[label="xy401",fontsize=16,color="green",shape="box"];566[label="xy301",fontsize=16,color="green",shape="box"];567[label="xy401",fontsize=16,color="green",shape="box"];568[label="xy301",fontsize=16,color="green",shape="box"];569[label="xy401",fontsize=16,color="green",shape="box"];570[label="xy301",fontsize=16,color="green",shape="box"];571[label="xy401",fontsize=16,color="green",shape="box"];572[label="xy301",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="primMulInt (Pos xy3010) xy400",fontsize=16,color="burlywood",shape="box"];887[label="xy400/Pos xy4000",fontsize=10,color="white",style="solid",shape="box"];591 -> 887[label="",style="solid", color="burlywood", weight=9]; 887 -> 601[label="",style="solid", color="burlywood", weight=3]; 888[label="xy400/Neg xy4000",fontsize=10,color="white",style="solid",shape="box"];591 -> 888[label="",style="solid", color="burlywood", weight=9]; 888 -> 602[label="",style="solid", color="burlywood", weight=3]; 592[label="primMulInt (Neg xy3010) xy400",fontsize=16,color="burlywood",shape="box"];889[label="xy400/Pos xy4000",fontsize=10,color="white",style="solid",shape="box"];592 -> 889[label="",style="solid", color="burlywood", weight=9]; 889 -> 603[label="",style="solid", color="burlywood", weight=3]; 890[label="xy400/Neg xy4000",fontsize=10,color="white",style="solid",shape="box"];592 -> 890[label="",style="solid", color="burlywood", weight=9]; 890 -> 604[label="",style="solid", color="burlywood", weight=3]; 593 -> 138[label="",style="dashed", color="red", weight=0]; 593[label="primEqNat xy3000 xy4000",fontsize=16,color="magenta"];593 -> 605[label="",style="dashed", color="magenta", weight=3]; 593 -> 606[label="",style="dashed", color="magenta", weight=3]; 594[label="False",fontsize=16,color="green",shape="box"];595[label="False",fontsize=16,color="green",shape="box"];596[label="True",fontsize=16,color="green",shape="box"];597[label="xy4000",fontsize=16,color="green",shape="box"];598[label="xy3000",fontsize=16,color="green",shape="box"];599[label="xy4000",fontsize=16,color="green",shape="box"];600[label="xy3000",fontsize=16,color="green",shape="box"];601[label="primMulInt (Pos xy3010) (Pos xy4000)",fontsize=16,color="black",shape="box"];601 -> 607[label="",style="solid", color="black", weight=3]; 602[label="primMulInt (Pos xy3010) (Neg xy4000)",fontsize=16,color="black",shape="box"];602 -> 608[label="",style="solid", color="black", weight=3]; 603[label="primMulInt (Neg xy3010) (Pos xy4000)",fontsize=16,color="black",shape="box"];603 -> 609[label="",style="solid", color="black", weight=3]; 604[label="primMulInt (Neg xy3010) (Neg xy4000)",fontsize=16,color="black",shape="box"];604 -> 610[label="",style="solid", color="black", weight=3]; 605[label="xy4000",fontsize=16,color="green",shape="box"];606[label="xy3000",fontsize=16,color="green",shape="box"];607[label="Pos (primMulNat xy3010 xy4000)",fontsize=16,color="green",shape="box"];607 -> 611[label="",style="dashed", color="green", weight=3]; 608[label="Neg (primMulNat xy3010 xy4000)",fontsize=16,color="green",shape="box"];608 -> 612[label="",style="dashed", color="green", weight=3]; 609[label="Neg (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_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. ---------------------------------------- (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_isPrefixOf(:(xy30, xy31), :(xy40, xy41), ba) -> new_isPrefixOf(xy31, xy41, ba) The graph contains the following edges 1 > 1, 2 > 2, 3 >= 3 ---------------------------------------- (9) YES ---------------------------------------- (10) 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. ---------------------------------------- (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_primMulNat(Succ(xy30100), Succ(xy40000)) -> new_primMulNat(xy30100, Succ(xy40000)) The graph contains the following edges 1 > 1, 2 >= 2 ---------------------------------------- (12) YES ---------------------------------------- (13) Obligation: Q DP problem: The TRS P consists of the following rules: new_esEs(@3(xy300, xy301, xy302), @3(xy400, xy401, xy402), ba, app(app(ty_@2, dc), dd), cg) -> new_esEs2(xy301, xy401, dc, dd) new_esEs3(Left(xy300), Left(xy400), app(app(ty_Either, bch), bda), bcc) -> new_esEs3(xy300, xy400, bch, bda) new_esEs2(@2(xy300, xy301), @2(xy400, xy401), hd, app(ty_[], hh)) -> new_esEs0(xy301, xy401, hh) new_esEs(@3(xy300, xy301, xy302), @3(xy400, xy401, xy402), ba, bb, app(app(ty_@2, bh), ca)) -> new_esEs2(xy302, xy402, bh, ca) new_esEs(@3(xy300, xy301, xy302), @3(xy400, xy401, xy402), ba, app(ty_[], da), cg) -> new_esEs0(xy301, xy401, da) new_esEs(@3(xy300, xy301, xy302), @3(xy400, xy401, xy402), ba, bb, app(ty_[], bf)) -> new_esEs0(xy302, xy402, bf) new_esEs(@3(xy300, xy301, xy302), @3(xy400, xy401, xy402), ba, bb, app(app(app(ty_@3, bc), bd), be)) -> new_esEs(xy302, xy402, bc, bd, be) new_esEs3(Right(xy300), Right(xy400), bdb, app(ty_[], bdf)) -> new_esEs0(xy300, xy400, bdf) new_esEs2(@2(xy300, xy301), @2(xy400, xy401), hd, app(app(ty_@2, bab), bac)) -> new_esEs2(xy301, xy401, bab, bac) new_esEs0(:(xy300, xy301), :(xy400, xy401), app(app(ty_@2, fg), fh)) -> new_esEs2(xy300, xy400, fg, fh) new_esEs2(@2(xy300, xy301), @2(xy400, xy401), app(ty_[], bbb), bba) -> new_esEs0(xy300, xy400, bbb) new_esEs2(@2(xy300, xy301), @2(xy400, xy401), app(app(ty_Either, bbf), bbg), bba) -> new_esEs3(xy300, xy400, bbf, bbg) new_esEs2(@2(xy300, xy301), @2(xy400, xy401), app(app(app(ty_@3, baf), bag), bah), bba) -> new_esEs(xy300, xy400, baf, bag, bah) new_esEs(@3(xy300, xy301, xy302), @3(xy400, xy401, xy402), app(ty_Maybe, ec), bb, cg) -> new_esEs1(xy300, xy400, ec) new_esEs(@3(xy300, xy301, xy302), @3(xy400, xy401, xy402), app(app(ty_Either, ef), eg), bb, cg) -> new_esEs3(xy300, xy400, ef, eg) new_esEs3(Right(xy300), Right(xy400), bdb, app(app(ty_@2, bdh), bea)) -> new_esEs2(xy300, xy400, bdh, bea) new_esEs(@3(xy300, xy301, xy302), @3(xy400, xy401, xy402), ba, app(ty_Maybe, db), cg) -> new_esEs1(xy301, xy401, db) new_esEs0(:(xy300, xy301), :(xy400, xy401), app(ty_[], fd)) -> new_esEs0(xy300, xy400, fd) new_esEs2(@2(xy300, xy301), @2(xy400, xy401), app(app(ty_@2, bbd), bbe), bba) -> new_esEs2(xy300, xy400, bbd, bbe) new_esEs3(Right(xy300), Right(xy400), bdb, app(app(ty_Either, beb), bec)) -> new_esEs3(xy300, xy400, beb, bec) new_esEs(@3(xy300, xy301, xy302), @3(xy400, xy401, xy402), ba, app(app(app(ty_@3, cd), ce), cf), cg) -> new_esEs(xy301, xy401, cd, ce, cf) new_esEs3(Left(xy300), Left(xy400), app(app(app(ty_@3, bbh), bca), bcb), bcc) -> new_esEs(xy300, xy400, bbh, bca, bcb) new_esEs(@3(xy300, xy301, xy302), @3(xy400, xy401, xy402), ba, app(app(ty_Either, de), df), cg) -> new_esEs3(xy301, xy401, de, df) new_esEs0(:(xy300, xy301), :(xy400, xy401), eh) -> new_esEs0(xy301, xy401, eh) new_esEs(@3(xy300, xy301, xy302), @3(xy400, xy401, xy402), app(app(ty_@2, ed), ee), bb, cg) -> new_esEs2(xy300, xy400, ed, ee) new_esEs1(Just(xy300), Just(xy400), app(app(app(ty_@3, gc), gd), ge)) -> new_esEs(xy300, xy400, gc, gd, ge) new_esEs2(@2(xy300, xy301), @2(xy400, xy401), hd, app(app(ty_Either, bad), bae)) -> new_esEs3(xy301, xy401, bad, bae) new_esEs0(:(xy300, xy301), :(xy400, xy401), app(ty_Maybe, ff)) -> new_esEs1(xy300, xy400, ff) new_esEs1(Just(xy300), Just(xy400), app(ty_[], gf)) -> new_esEs0(xy300, xy400, gf) new_esEs2(@2(xy300, xy301), @2(xy400, xy401), hd, app(app(app(ty_@3, he), hf), hg)) -> new_esEs(xy301, xy401, he, hf, hg) new_esEs3(Left(xy300), Left(xy400), app(ty_[], bcd), bcc) -> new_esEs0(xy300, xy400, bcd) new_esEs(@3(xy300, xy301, xy302), @3(xy400, xy401, xy402), ba, bb, app(app(ty_Either, cb), cc)) -> new_esEs3(xy302, xy402, cb, cc) new_esEs3(Right(xy300), Right(xy400), bdb, app(app(app(ty_@3, bdc), bdd), bde)) -> new_esEs(xy300, xy400, bdc, bdd, bde) new_esEs3(Right(xy300), Right(xy400), bdb, app(ty_Maybe, bdg)) -> new_esEs1(xy300, xy400, bdg) new_esEs(@3(xy300, xy301, xy302), @3(xy400, xy401, xy402), ba, bb, app(ty_Maybe, bg)) -> new_esEs1(xy302, xy402, bg) new_esEs1(Just(xy300), Just(xy400), app(app(ty_@2, gh), ha)) -> new_esEs2(xy300, xy400, gh, ha) new_esEs3(Left(xy300), Left(xy400), app(app(ty_@2, bcf), bcg), bcc) -> new_esEs2(xy300, xy400, bcf, bcg) new_esEs(@3(xy300, xy301, xy302), @3(xy400, xy401, xy402), app(app(app(ty_@3, dg), dh), ea), bb, cg) -> new_esEs(xy300, xy400, dg, dh, ea) new_esEs2(@2(xy300, xy301), @2(xy400, xy401), hd, app(ty_Maybe, baa)) -> new_esEs1(xy301, xy401, baa) new_esEs0(:(xy300, xy301), :(xy400, xy401), app(app(app(ty_@3, fa), fb), fc)) -> new_esEs(xy300, xy400, fa, fb, fc) new_esEs2(@2(xy300, xy301), @2(xy400, xy401), app(ty_Maybe, bbc), bba) -> new_esEs1(xy300, xy400, bbc) new_esEs3(Left(xy300), Left(xy400), app(ty_Maybe, bce), bcc) -> new_esEs1(xy300, xy400, bce) new_esEs1(Just(xy300), Just(xy400), app(ty_Maybe, gg)) -> new_esEs1(xy300, xy400, gg) new_esEs1(Just(xy300), Just(xy400), app(app(ty_Either, hb), hc)) -> new_esEs3(xy300, xy400, hb, hc) new_esEs(@3(xy300, xy301, xy302), @3(xy400, xy401, xy402), app(ty_[], eb), bb, cg) -> new_esEs0(xy300, xy400, eb) new_esEs0(:(xy300, xy301), :(xy400, xy401), app(app(ty_Either, ga), gb)) -> new_esEs3(xy300, xy400, ga, gb) 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_esEs0(:(xy300, xy301), :(xy400, xy401), app(app(app(ty_@3, fa), fb), fc)) -> new_esEs(xy300, xy400, fa, fb, fc) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 *new_esEs0(:(xy300, xy301), :(xy400, xy401), app(app(ty_Either, ga), gb)) -> new_esEs3(xy300, xy400, ga, gb) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs0(:(xy300, xy301), :(xy400, xy401), app(app(ty_@2, fg), fh)) -> new_esEs2(xy300, xy400, fg, fh) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs1(Just(xy300), Just(xy400), app(app(app(ty_@3, gc), gd), ge)) -> new_esEs(xy300, xy400, gc, gd, ge) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 *new_esEs1(Just(xy300), Just(xy400), app(app(ty_Either, hb), hc)) -> new_esEs3(xy300, xy400, hb, hc) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs1(Just(xy300), Just(xy400), app(app(ty_@2, gh), ha)) -> new_esEs2(xy300, xy400, gh, ha) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs0(:(xy300, xy301), :(xy400, xy401), app(ty_Maybe, ff)) -> new_esEs1(xy300, xy400, ff) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs1(Just(xy300), Just(xy400), app(ty_[], gf)) -> new_esEs0(xy300, xy400, gf) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs1(Just(xy300), Just(xy400), app(ty_Maybe, gg)) -> new_esEs1(xy300, xy400, gg) 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, baf), bag), bah), bba) -> new_esEs(xy300, xy400, baf, bag, bah) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 *new_esEs2(@2(xy300, xy301), @2(xy400, xy401), hd, app(app(app(ty_@3, he), hf), hg)) -> new_esEs(xy301, xy401, he, hf, hg) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4, 4 > 5 *new_esEs2(@2(xy300, xy301), @2(xy400, xy401), app(app(ty_Either, bbf), bbg), bba) -> new_esEs3(xy300, xy400, bbf, bbg) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs2(@2(xy300, xy301), @2(xy400, xy401), hd, app(app(ty_Either, bad), bae)) -> new_esEs3(xy301, xy401, bad, bae) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 *new_esEs2(@2(xy300, xy301), @2(xy400, xy401), hd, app(app(ty_@2, bab), bac)) -> new_esEs2(xy301, xy401, bab, bac) 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, bbd), bbe), bba) -> new_esEs2(xy300, xy400, bbd, bbe) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs2(@2(xy300, xy301), @2(xy400, xy401), hd, app(ty_[], hh)) -> new_esEs0(xy301, xy401, hh) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 *new_esEs2(@2(xy300, xy301), @2(xy400, xy401), app(ty_[], bbb), bba) -> new_esEs0(xy300, xy400, bbb) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs2(@2(xy300, xy301), @2(xy400, xy401), hd, app(ty_Maybe, baa)) -> new_esEs1(xy301, xy401, baa) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 *new_esEs2(@2(xy300, xy301), @2(xy400, xy401), app(ty_Maybe, bbc), bba) -> new_esEs1(xy300, xy400, bbc) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs3(Left(xy300), Left(xy400), app(app(app(ty_@3, bbh), bca), bcb), bcc) -> new_esEs(xy300, xy400, bbh, bca, bcb) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 *new_esEs3(Right(xy300), Right(xy400), bdb, app(app(app(ty_@3, bdc), bdd), bde)) -> new_esEs(xy300, xy400, bdc, bdd, bde) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4, 4 > 5 *new_esEs(@3(xy300, xy301, xy302), @3(xy400, xy401, xy402), ba, bb, app(app(app(ty_@3, bc), bd), be)) -> new_esEs(xy302, xy402, bc, bd, be) The graph contains the following edges 1 > 1, 2 > 2, 5 > 3, 5 > 4, 5 > 5 *new_esEs(@3(xy300, xy301, xy302), @3(xy400, xy401, xy402), ba, app(app(app(ty_@3, cd), ce), cf), cg) -> new_esEs(xy301, xy401, cd, ce, cf) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4, 4 > 5 *new_esEs(@3(xy300, xy301, xy302), @3(xy400, xy401, xy402), app(app(app(ty_@3, dg), dh), ea), bb, cg) -> new_esEs(xy300, xy400, dg, dh, ea) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 *new_esEs3(Left(xy300), Left(xy400), app(app(ty_Either, bch), bda), bcc) -> new_esEs3(xy300, xy400, bch, bda) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs3(Right(xy300), Right(xy400), bdb, app(app(ty_Either, beb), bec)) -> new_esEs3(xy300, xy400, beb, bec) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 *new_esEs3(Right(xy300), Right(xy400), bdb, app(app(ty_@2, bdh), bea)) -> new_esEs2(xy300, xy400, bdh, bea) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 *new_esEs3(Left(xy300), Left(xy400), app(app(ty_@2, bcf), bcg), bcc) -> new_esEs2(xy300, xy400, bcf, bcg) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs3(Right(xy300), Right(xy400), bdb, app(ty_[], bdf)) -> new_esEs0(xy300, xy400, bdf) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 *new_esEs3(Left(xy300), Left(xy400), app(ty_[], bcd), bcc) -> new_esEs0(xy300, xy400, bcd) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs3(Right(xy300), Right(xy400), bdb, app(ty_Maybe, bdg)) -> new_esEs1(xy300, xy400, bdg) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 *new_esEs3(Left(xy300), Left(xy400), app(ty_Maybe, bce), bcc) -> new_esEs1(xy300, xy400, bce) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs(@3(xy300, xy301, xy302), @3(xy400, xy401, xy402), app(app(ty_Either, ef), eg), bb, cg) -> new_esEs3(xy300, xy400, ef, eg) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs(@3(xy300, xy301, xy302), @3(xy400, xy401, xy402), ba, app(app(ty_Either, de), df), cg) -> new_esEs3(xy301, xy401, de, df) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 *new_esEs(@3(xy300, xy301, xy302), @3(xy400, xy401, xy402), ba, bb, app(app(ty_Either, cb), cc)) -> new_esEs3(xy302, xy402, cb, cc) The graph contains the following edges 1 > 1, 2 > 2, 5 > 3, 5 > 4 *new_esEs0(:(xy300, xy301), :(xy400, xy401), app(ty_[], fd)) -> new_esEs0(xy300, xy400, fd) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs0(:(xy300, xy301), :(xy400, xy401), eh) -> new_esEs0(xy301, xy401, eh) The graph contains the following edges 1 > 1, 2 > 2, 3 >= 3 *new_esEs(@3(xy300, xy301, xy302), @3(xy400, xy401, xy402), ba, app(app(ty_@2, dc), dd), cg) -> new_esEs2(xy301, xy401, dc, dd) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 *new_esEs(@3(xy300, xy301, xy302), @3(xy400, xy401, xy402), ba, bb, app(app(ty_@2, bh), ca)) -> new_esEs2(xy302, xy402, bh, ca) The graph contains the following edges 1 > 1, 2 > 2, 5 > 3, 5 > 4 *new_esEs(@3(xy300, xy301, xy302), @3(xy400, xy401, xy402), app(app(ty_@2, ed), ee), bb, cg) -> new_esEs2(xy300, xy400, ed, ee) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs(@3(xy300, xy301, xy302), @3(xy400, xy401, xy402), ba, app(ty_[], da), cg) -> new_esEs0(xy301, xy401, da) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 *new_esEs(@3(xy300, xy301, xy302), @3(xy400, xy401, xy402), ba, bb, app(ty_[], bf)) -> new_esEs0(xy302, xy402, bf) The graph contains the following edges 1 > 1, 2 > 2, 5 > 3 *new_esEs(@3(xy300, xy301, xy302), @3(xy400, xy401, xy402), app(ty_[], eb), bb, cg) -> new_esEs0(xy300, xy400, eb) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs(@3(xy300, xy301, xy302), @3(xy400, xy401, xy402), app(ty_Maybe, ec), bb, cg) -> new_esEs1(xy300, xy400, ec) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs(@3(xy300, xy301, xy302), @3(xy400, xy401, xy402), ba, app(ty_Maybe, db), cg) -> new_esEs1(xy301, xy401, db) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 *new_esEs(@3(xy300, xy301, xy302), @3(xy400, xy401, xy402), ba, bb, app(ty_Maybe, bg)) -> new_esEs1(xy302, xy402, bg) The graph contains the following edges 1 > 1, 2 > 2, 5 > 3 ---------------------------------------- (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