/export/starexec/sandbox/solver/bin/starexec_run_standard /export/starexec/sandbox/benchmark/theBenchmark.hs /export/starexec/sandbox/output/output_files -------------------------------------------------------------------------------- YES proof of /export/starexec/sandbox/benchmark/theBenchmark.hs # AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty H-Termination with start terms of the given HASKELL could be proven: (0) HASKELL (1) BR [EQUIVALENT, 0 ms] (2) HASKELL (3) COR [EQUIVALENT, 0 ms] (4) HASKELL (5) Narrow [SOUND, 0 ms] (6) AND (7) QDP (8) QDPSizeChangeProof [EQUIVALENT, 54 ms] (9) YES (10) QDP (11) QDPSizeChangeProof [EQUIVALENT, 0 ms] (12) YES (13) QDP (14) QDPSizeChangeProof [EQUIVALENT, 0 ms] (15) YES (16) QDP (17) QDPSizeChangeProof [EQUIVALENT, 0 ms] (18) YES ---------------------------------------- (0) Obligation: mainModule Main module Main where { import qualified Prelude; } ---------------------------------------- (1) BR (EQUIVALENT) Replaced joker patterns by fresh variables and removed binding patterns. ---------------------------------------- (2) Obligation: mainModule Main module Main where { 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 Main where { import qualified Prelude; } ---------------------------------------- (5) Narrow (SOUND) Haskell To QDPs digraph dp_graph { node [outthreshold=100, inthreshold=100];1[label="(/=)",fontsize=16,color="grey",shape="box"];1 -> 3[label="",style="dashed", color="grey", weight=3]; 3[label="(/=) xv3",fontsize=16,color="grey",shape="box"];3 -> 4[label="",style="dashed", color="grey", weight=3]; 4[label="(/=) xv3 xv4",fontsize=16,color="black",shape="triangle"];4 -> 5[label="",style="solid", color="black", weight=3]; 5 -> 16[label="",style="dashed", color="red", weight=0]; 5[label="not (xv3 == xv4)",fontsize=16,color="magenta"];5 -> 17[label="",style="dashed", color="magenta", weight=3]; 17[label="xv3 == xv4",fontsize=16,color="burlywood",shape="triangle"];632[label="xv3/Left xv30",fontsize=10,color="white",style="solid",shape="box"];17 -> 632[label="",style="solid", color="burlywood", weight=9]; 632 -> 22[label="",style="solid", color="burlywood", weight=3]; 633[label="xv3/Right xv30",fontsize=10,color="white",style="solid",shape="box"];17 -> 633[label="",style="solid", color="burlywood", weight=9]; 633 -> 23[label="",style="solid", color="burlywood", weight=3]; 16[label="not xv7",fontsize=16,color="burlywood",shape="triangle"];634[label="xv7/False",fontsize=10,color="white",style="solid",shape="box"];16 -> 634[label="",style="solid", color="burlywood", weight=9]; 634 -> 24[label="",style="solid", color="burlywood", weight=3]; 635[label="xv7/True",fontsize=10,color="white",style="solid",shape="box"];16 -> 635[label="",style="solid", color="burlywood", weight=9]; 635 -> 25[label="",style="solid", color="burlywood", weight=3]; 22[label="Left xv30 == xv4",fontsize=16,color="burlywood",shape="box"];636[label="xv4/Left xv40",fontsize=10,color="white",style="solid",shape="box"];22 -> 636[label="",style="solid", color="burlywood", weight=9]; 636 -> 26[label="",style="solid", color="burlywood", weight=3]; 637[label="xv4/Right xv40",fontsize=10,color="white",style="solid",shape="box"];22 -> 637[label="",style="solid", color="burlywood", weight=9]; 637 -> 27[label="",style="solid", color="burlywood", weight=3]; 23[label="Right xv30 == xv4",fontsize=16,color="burlywood",shape="box"];638[label="xv4/Left xv40",fontsize=10,color="white",style="solid",shape="box"];23 -> 638[label="",style="solid", color="burlywood", weight=9]; 638 -> 28[label="",style="solid", color="burlywood", weight=3]; 639[label="xv4/Right xv40",fontsize=10,color="white",style="solid",shape="box"];23 -> 639[label="",style="solid", color="burlywood", weight=9]; 639 -> 29[label="",style="solid", color="burlywood", weight=3]; 24[label="not False",fontsize=16,color="black",shape="box"];24 -> 30[label="",style="solid", color="black", weight=3]; 25[label="not True",fontsize=16,color="black",shape="box"];25 -> 31[label="",style="solid", color="black", weight=3]; 26[label="Left xv30 == Left xv40",fontsize=16,color="black",shape="box"];26 -> 32[label="",style="solid", color="black", weight=3]; 27[label="Left xv30 == Right xv40",fontsize=16,color="black",shape="box"];27 -> 33[label="",style="solid", color="black", weight=3]; 28[label="Right xv30 == Left xv40",fontsize=16,color="black",shape="box"];28 -> 34[label="",style="solid", color="black", weight=3]; 29[label="Right xv30 == Right xv40",fontsize=16,color="black",shape="box"];29 -> 35[label="",style="solid", color="black", weight=3]; 30[label="True",fontsize=16,color="green",shape="box"];31[label="False",fontsize=16,color="green",shape="box"];32[label="xv30 == xv40",fontsize=16,color="blue",shape="box"];640[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];32 -> 640[label="",style="solid", color="blue", weight=9]; 640 -> 36[label="",style="solid", color="blue", weight=3]; 641[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];32 -> 641[label="",style="solid", color="blue", weight=9]; 641 -> 37[label="",style="solid", color="blue", weight=3]; 642[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];32 -> 642[label="",style="solid", color="blue", weight=9]; 642 -> 38[label="",style="solid", color="blue", weight=3]; 643[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];32 -> 643[label="",style="solid", color="blue", weight=9]; 643 -> 39[label="",style="solid", color="blue", weight=3]; 644[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];32 -> 644[label="",style="solid", color="blue", weight=9]; 644 -> 40[label="",style="solid", color="blue", weight=3]; 645[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];32 -> 645[label="",style="solid", color="blue", weight=9]; 645 -> 41[label="",style="solid", color="blue", weight=3]; 646[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];32 -> 646[label="",style="solid", color="blue", weight=9]; 646 -> 42[label="",style="solid", color="blue", weight=3]; 647[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];32 -> 647[label="",style="solid", color="blue", weight=9]; 647 -> 43[label="",style="solid", color="blue", weight=3]; 648[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];32 -> 648[label="",style="solid", color="blue", weight=9]; 648 -> 44[label="",style="solid", color="blue", weight=3]; 649[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];32 -> 649[label="",style="solid", color="blue", weight=9]; 649 -> 45[label="",style="solid", color="blue", weight=3]; 650[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];32 -> 650[label="",style="solid", color="blue", weight=9]; 650 -> 46[label="",style="solid", color="blue", weight=3]; 651[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];32 -> 651[label="",style="solid", color="blue", weight=9]; 651 -> 47[label="",style="solid", color="blue", weight=3]; 652[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];32 -> 652[label="",style="solid", color="blue", weight=9]; 652 -> 48[label="",style="solid", color="blue", weight=3]; 653[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];32 -> 653[label="",style="solid", color="blue", weight=9]; 653 -> 49[label="",style="solid", color="blue", weight=3]; 33[label="False",fontsize=16,color="green",shape="box"];34[label="False",fontsize=16,color="green",shape="box"];35[label="xv30 == xv40",fontsize=16,color="blue",shape="box"];654[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];35 -> 654[label="",style="solid", color="blue", weight=9]; 654 -> 50[label="",style="solid", color="blue", weight=3]; 655[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];35 -> 655[label="",style="solid", color="blue", weight=9]; 655 -> 51[label="",style="solid", color="blue", weight=3]; 656[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];35 -> 656[label="",style="solid", color="blue", weight=9]; 656 -> 52[label="",style="solid", color="blue", weight=3]; 657[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];35 -> 657[label="",style="solid", color="blue", weight=9]; 657 -> 53[label="",style="solid", color="blue", weight=3]; 658[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];35 -> 658[label="",style="solid", color="blue", weight=9]; 658 -> 54[label="",style="solid", color="blue", weight=3]; 659[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];35 -> 659[label="",style="solid", color="blue", weight=9]; 659 -> 55[label="",style="solid", color="blue", weight=3]; 660[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];35 -> 660[label="",style="solid", color="blue", weight=9]; 660 -> 56[label="",style="solid", color="blue", weight=3]; 661[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];35 -> 661[label="",style="solid", color="blue", weight=9]; 661 -> 57[label="",style="solid", color="blue", weight=3]; 662[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];35 -> 662[label="",style="solid", color="blue", weight=9]; 662 -> 58[label="",style="solid", color="blue", weight=3]; 663[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];35 -> 663[label="",style="solid", color="blue", weight=9]; 663 -> 59[label="",style="solid", color="blue", weight=3]; 664[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];35 -> 664[label="",style="solid", color="blue", weight=9]; 664 -> 60[label="",style="solid", color="blue", weight=3]; 665[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];35 -> 665[label="",style="solid", color="blue", weight=9]; 665 -> 61[label="",style="solid", color="blue", weight=3]; 666[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];35 -> 666[label="",style="solid", color="blue", weight=9]; 666 -> 62[label="",style="solid", color="blue", weight=3]; 667[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];35 -> 667[label="",style="solid", color="blue", weight=9]; 667 -> 63[label="",style="solid", color="blue", weight=3]; 36 -> 17[label="",style="dashed", color="red", weight=0]; 36[label="xv30 == xv40",fontsize=16,color="magenta"];36 -> 64[label="",style="dashed", color="magenta", weight=3]; 36 -> 65[label="",style="dashed", color="magenta", weight=3]; 37[label="xv30 == xv40",fontsize=16,color="burlywood",shape="triangle"];668[label="xv30/xv300 : xv301",fontsize=10,color="white",style="solid",shape="box"];37 -> 668[label="",style="solid", color="burlywood", weight=9]; 668 -> 66[label="",style="solid", color="burlywood", weight=3]; 669[label="xv30/[]",fontsize=10,color="white",style="solid",shape="box"];37 -> 669[label="",style="solid", color="burlywood", weight=9]; 669 -> 67[label="",style="solid", color="burlywood", weight=3]; 38[label="xv30 == xv40",fontsize=16,color="burlywood",shape="triangle"];670[label="xv30/(xv300,xv301)",fontsize=10,color="white",style="solid",shape="box"];38 -> 670[label="",style="solid", color="burlywood", weight=9]; 670 -> 68[label="",style="solid", color="burlywood", weight=3]; 39[label="xv30 == xv40",fontsize=16,color="burlywood",shape="triangle"];671[label="xv30/Integer xv300",fontsize=10,color="white",style="solid",shape="box"];39 -> 671[label="",style="solid", color="burlywood", weight=9]; 671 -> 69[label="",style="solid", color="burlywood", weight=3]; 40[label="xv30 == xv40",fontsize=16,color="black",shape="triangle"];40 -> 70[label="",style="solid", color="black", weight=3]; 41[label="xv30 == xv40",fontsize=16,color="burlywood",shape="triangle"];672[label="xv30/False",fontsize=10,color="white",style="solid",shape="box"];41 -> 672[label="",style="solid", color="burlywood", weight=9]; 672 -> 71[label="",style="solid", color="burlywood", weight=3]; 673[label="xv30/True",fontsize=10,color="white",style="solid",shape="box"];41 -> 673[label="",style="solid", color="burlywood", weight=9]; 673 -> 72[label="",style="solid", color="burlywood", weight=3]; 42[label="xv30 == xv40",fontsize=16,color="burlywood",shape="triangle"];674[label="xv30/xv300 :% xv301",fontsize=10,color="white",style="solid",shape="box"];42 -> 674[label="",style="solid", color="burlywood", weight=9]; 674 -> 73[label="",style="solid", color="burlywood", weight=3]; 43[label="xv30 == xv40",fontsize=16,color="burlywood",shape="triangle"];675[label="xv30/(xv300,xv301,xv302)",fontsize=10,color="white",style="solid",shape="box"];43 -> 675[label="",style="solid", color="burlywood", weight=9]; 675 -> 74[label="",style="solid", color="burlywood", weight=3]; 44[label="xv30 == xv40",fontsize=16,color="burlywood",shape="triangle"];676[label="xv30/Nothing",fontsize=10,color="white",style="solid",shape="box"];44 -> 676[label="",style="solid", color="burlywood", weight=9]; 676 -> 75[label="",style="solid", color="burlywood", weight=3]; 677[label="xv30/Just xv300",fontsize=10,color="white",style="solid",shape="box"];44 -> 677[label="",style="solid", color="burlywood", weight=9]; 677 -> 76[label="",style="solid", color="burlywood", weight=3]; 45[label="xv30 == xv40",fontsize=16,color="black",shape="triangle"];45 -> 77[label="",style="solid", color="black", weight=3]; 46[label="xv30 == xv40",fontsize=16,color="burlywood",shape="triangle"];678[label="xv30/LT",fontsize=10,color="white",style="solid",shape="box"];46 -> 678[label="",style="solid", color="burlywood", weight=9]; 678 -> 78[label="",style="solid", color="burlywood", weight=3]; 679[label="xv30/EQ",fontsize=10,color="white",style="solid",shape="box"];46 -> 679[label="",style="solid", color="burlywood", weight=9]; 679 -> 79[label="",style="solid", color="burlywood", weight=3]; 680[label="xv30/GT",fontsize=10,color="white",style="solid",shape="box"];46 -> 680[label="",style="solid", color="burlywood", weight=9]; 680 -> 80[label="",style="solid", color="burlywood", weight=3]; 47[label="xv30 == xv40",fontsize=16,color="black",shape="triangle"];47 -> 81[label="",style="solid", color="black", weight=3]; 48[label="xv30 == xv40",fontsize=16,color="burlywood",shape="triangle"];681[label="xv30/()",fontsize=10,color="white",style="solid",shape="box"];48 -> 681[label="",style="solid", color="burlywood", weight=9]; 681 -> 82[label="",style="solid", color="burlywood", weight=3]; 49[label="xv30 == xv40",fontsize=16,color="black",shape="triangle"];49 -> 83[label="",style="solid", color="black", weight=3]; 50 -> 17[label="",style="dashed", color="red", weight=0]; 50[label="xv30 == xv40",fontsize=16,color="magenta"];50 -> 84[label="",style="dashed", color="magenta", weight=3]; 50 -> 85[label="",style="dashed", color="magenta", weight=3]; 51 -> 37[label="",style="dashed", color="red", weight=0]; 51[label="xv30 == xv40",fontsize=16,color="magenta"];51 -> 86[label="",style="dashed", color="magenta", weight=3]; 51 -> 87[label="",style="dashed", color="magenta", weight=3]; 52 -> 38[label="",style="dashed", color="red", weight=0]; 52[label="xv30 == xv40",fontsize=16,color="magenta"];52 -> 88[label="",style="dashed", color="magenta", weight=3]; 52 -> 89[label="",style="dashed", color="magenta", weight=3]; 53 -> 39[label="",style="dashed", color="red", weight=0]; 53[label="xv30 == xv40",fontsize=16,color="magenta"];53 -> 90[label="",style="dashed", color="magenta", weight=3]; 53 -> 91[label="",style="dashed", color="magenta", weight=3]; 54 -> 40[label="",style="dashed", color="red", weight=0]; 54[label="xv30 == xv40",fontsize=16,color="magenta"];54 -> 92[label="",style="dashed", color="magenta", weight=3]; 54 -> 93[label="",style="dashed", color="magenta", weight=3]; 55 -> 41[label="",style="dashed", color="red", weight=0]; 55[label="xv30 == xv40",fontsize=16,color="magenta"];55 -> 94[label="",style="dashed", color="magenta", weight=3]; 55 -> 95[label="",style="dashed", color="magenta", weight=3]; 56 -> 42[label="",style="dashed", color="red", weight=0]; 56[label="xv30 == xv40",fontsize=16,color="magenta"];56 -> 96[label="",style="dashed", color="magenta", weight=3]; 56 -> 97[label="",style="dashed", color="magenta", weight=3]; 57 -> 43[label="",style="dashed", color="red", weight=0]; 57[label="xv30 == xv40",fontsize=16,color="magenta"];57 -> 98[label="",style="dashed", color="magenta", weight=3]; 57 -> 99[label="",style="dashed", color="magenta", weight=3]; 58 -> 44[label="",style="dashed", color="red", weight=0]; 58[label="xv30 == xv40",fontsize=16,color="magenta"];58 -> 100[label="",style="dashed", color="magenta", weight=3]; 58 -> 101[label="",style="dashed", color="magenta", weight=3]; 59 -> 45[label="",style="dashed", color="red", weight=0]; 59[label="xv30 == xv40",fontsize=16,color="magenta"];59 -> 102[label="",style="dashed", color="magenta", weight=3]; 59 -> 103[label="",style="dashed", color="magenta", weight=3]; 60 -> 46[label="",style="dashed", color="red", weight=0]; 60[label="xv30 == xv40",fontsize=16,color="magenta"];60 -> 104[label="",style="dashed", color="magenta", weight=3]; 60 -> 105[label="",style="dashed", color="magenta", weight=3]; 61 -> 47[label="",style="dashed", color="red", weight=0]; 61[label="xv30 == xv40",fontsize=16,color="magenta"];61 -> 106[label="",style="dashed", color="magenta", weight=3]; 61 -> 107[label="",style="dashed", color="magenta", weight=3]; 62 -> 48[label="",style="dashed", color="red", weight=0]; 62[label="xv30 == xv40",fontsize=16,color="magenta"];62 -> 108[label="",style="dashed", color="magenta", weight=3]; 62 -> 109[label="",style="dashed", color="magenta", weight=3]; 63 -> 49[label="",style="dashed", color="red", weight=0]; 63[label="xv30 == xv40",fontsize=16,color="magenta"];63 -> 110[label="",style="dashed", color="magenta", weight=3]; 63 -> 111[label="",style="dashed", color="magenta", weight=3]; 64[label="xv30",fontsize=16,color="green",shape="box"];65[label="xv40",fontsize=16,color="green",shape="box"];66[label="xv300 : xv301 == xv40",fontsize=16,color="burlywood",shape="box"];682[label="xv40/xv400 : xv401",fontsize=10,color="white",style="solid",shape="box"];66 -> 682[label="",style="solid", color="burlywood", weight=9]; 682 -> 112[label="",style="solid", color="burlywood", weight=3]; 683[label="xv40/[]",fontsize=10,color="white",style="solid",shape="box"];66 -> 683[label="",style="solid", color="burlywood", weight=9]; 683 -> 113[label="",style="solid", color="burlywood", weight=3]; 67[label="[] == xv40",fontsize=16,color="burlywood",shape="box"];684[label="xv40/xv400 : xv401",fontsize=10,color="white",style="solid",shape="box"];67 -> 684[label="",style="solid", color="burlywood", weight=9]; 684 -> 114[label="",style="solid", color="burlywood", weight=3]; 685[label="xv40/[]",fontsize=10,color="white",style="solid",shape="box"];67 -> 685[label="",style="solid", color="burlywood", weight=9]; 685 -> 115[label="",style="solid", color="burlywood", weight=3]; 68[label="(xv300,xv301) == xv40",fontsize=16,color="burlywood",shape="box"];686[label="xv40/(xv400,xv401)",fontsize=10,color="white",style="solid",shape="box"];68 -> 686[label="",style="solid", color="burlywood", weight=9]; 686 -> 116[label="",style="solid", color="burlywood", weight=3]; 69[label="Integer xv300 == xv40",fontsize=16,color="burlywood",shape="box"];687[label="xv40/Integer xv400",fontsize=10,color="white",style="solid",shape="box"];69 -> 687[label="",style="solid", color="burlywood", weight=9]; 687 -> 117[label="",style="solid", color="burlywood", weight=3]; 70[label="primEqFloat xv30 xv40",fontsize=16,color="burlywood",shape="box"];688[label="xv30/Float xv300 xv301",fontsize=10,color="white",style="solid",shape="box"];70 -> 688[label="",style="solid", color="burlywood", weight=9]; 688 -> 118[label="",style="solid", color="burlywood", weight=3]; 71[label="False == xv40",fontsize=16,color="burlywood",shape="box"];689[label="xv40/False",fontsize=10,color="white",style="solid",shape="box"];71 -> 689[label="",style="solid", color="burlywood", weight=9]; 689 -> 119[label="",style="solid", color="burlywood", weight=3]; 690[label="xv40/True",fontsize=10,color="white",style="solid",shape="box"];71 -> 690[label="",style="solid", color="burlywood", weight=9]; 690 -> 120[label="",style="solid", color="burlywood", weight=3]; 72[label="True == xv40",fontsize=16,color="burlywood",shape="box"];691[label="xv40/False",fontsize=10,color="white",style="solid",shape="box"];72 -> 691[label="",style="solid", color="burlywood", weight=9]; 691 -> 121[label="",style="solid", color="burlywood", weight=3]; 692[label="xv40/True",fontsize=10,color="white",style="solid",shape="box"];72 -> 692[label="",style="solid", color="burlywood", weight=9]; 692 -> 122[label="",style="solid", color="burlywood", weight=3]; 73[label="xv300 :% xv301 == xv40",fontsize=16,color="burlywood",shape="box"];693[label="xv40/xv400 :% xv401",fontsize=10,color="white",style="solid",shape="box"];73 -> 693[label="",style="solid", color="burlywood", weight=9]; 693 -> 123[label="",style="solid", color="burlywood", weight=3]; 74[label="(xv300,xv301,xv302) == xv40",fontsize=16,color="burlywood",shape="box"];694[label="xv40/(xv400,xv401,xv402)",fontsize=10,color="white",style="solid",shape="box"];74 -> 694[label="",style="solid", color="burlywood", weight=9]; 694 -> 124[label="",style="solid", color="burlywood", weight=3]; 75[label="Nothing == xv40",fontsize=16,color="burlywood",shape="box"];695[label="xv40/Nothing",fontsize=10,color="white",style="solid",shape="box"];75 -> 695[label="",style="solid", color="burlywood", weight=9]; 695 -> 125[label="",style="solid", color="burlywood", weight=3]; 696[label="xv40/Just xv400",fontsize=10,color="white",style="solid",shape="box"];75 -> 696[label="",style="solid", color="burlywood", weight=9]; 696 -> 126[label="",style="solid", color="burlywood", weight=3]; 76[label="Just xv300 == xv40",fontsize=16,color="burlywood",shape="box"];697[label="xv40/Nothing",fontsize=10,color="white",style="solid",shape="box"];76 -> 697[label="",style="solid", color="burlywood", weight=9]; 697 -> 127[label="",style="solid", color="burlywood", weight=3]; 698[label="xv40/Just xv400",fontsize=10,color="white",style="solid",shape="box"];76 -> 698[label="",style="solid", color="burlywood", weight=9]; 698 -> 128[label="",style="solid", color="burlywood", weight=3]; 77[label="primEqInt xv30 xv40",fontsize=16,color="burlywood",shape="triangle"];699[label="xv30/Pos xv300",fontsize=10,color="white",style="solid",shape="box"];77 -> 699[label="",style="solid", color="burlywood", weight=9]; 699 -> 129[label="",style="solid", color="burlywood", weight=3]; 700[label="xv30/Neg xv300",fontsize=10,color="white",style="solid",shape="box"];77 -> 700[label="",style="solid", color="burlywood", weight=9]; 700 -> 130[label="",style="solid", color="burlywood", weight=3]; 78[label="LT == xv40",fontsize=16,color="burlywood",shape="box"];701[label="xv40/LT",fontsize=10,color="white",style="solid",shape="box"];78 -> 701[label="",style="solid", color="burlywood", weight=9]; 701 -> 131[label="",style="solid", color="burlywood", weight=3]; 702[label="xv40/EQ",fontsize=10,color="white",style="solid",shape="box"];78 -> 702[label="",style="solid", color="burlywood", weight=9]; 702 -> 132[label="",style="solid", color="burlywood", weight=3]; 703[label="xv40/GT",fontsize=10,color="white",style="solid",shape="box"];78 -> 703[label="",style="solid", color="burlywood", weight=9]; 703 -> 133[label="",style="solid", color="burlywood", weight=3]; 79[label="EQ == xv40",fontsize=16,color="burlywood",shape="box"];704[label="xv40/LT",fontsize=10,color="white",style="solid",shape="box"];79 -> 704[label="",style="solid", color="burlywood", weight=9]; 704 -> 134[label="",style="solid", color="burlywood", weight=3]; 705[label="xv40/EQ",fontsize=10,color="white",style="solid",shape="box"];79 -> 705[label="",style="solid", color="burlywood", weight=9]; 705 -> 135[label="",style="solid", color="burlywood", weight=3]; 706[label="xv40/GT",fontsize=10,color="white",style="solid",shape="box"];79 -> 706[label="",style="solid", color="burlywood", weight=9]; 706 -> 136[label="",style="solid", color="burlywood", weight=3]; 80[label="GT == xv40",fontsize=16,color="burlywood",shape="box"];707[label="xv40/LT",fontsize=10,color="white",style="solid",shape="box"];80 -> 707[label="",style="solid", color="burlywood", weight=9]; 707 -> 137[label="",style="solid", color="burlywood", weight=3]; 708[label="xv40/EQ",fontsize=10,color="white",style="solid",shape="box"];80 -> 708[label="",style="solid", color="burlywood", weight=9]; 708 -> 138[label="",style="solid", color="burlywood", weight=3]; 709[label="xv40/GT",fontsize=10,color="white",style="solid",shape="box"];80 -> 709[label="",style="solid", color="burlywood", weight=9]; 709 -> 139[label="",style="solid", color="burlywood", weight=3]; 81[label="primEqChar xv30 xv40",fontsize=16,color="burlywood",shape="box"];710[label="xv30/Char xv300",fontsize=10,color="white",style="solid",shape="box"];81 -> 710[label="",style="solid", color="burlywood", weight=9]; 710 -> 140[label="",style="solid", color="burlywood", weight=3]; 82[label="() == xv40",fontsize=16,color="burlywood",shape="box"];711[label="xv40/()",fontsize=10,color="white",style="solid",shape="box"];82 -> 711[label="",style="solid", color="burlywood", weight=9]; 711 -> 141[label="",style="solid", color="burlywood", weight=3]; 83[label="primEqDouble xv30 xv40",fontsize=16,color="burlywood",shape="box"];712[label="xv30/Double xv300 xv301",fontsize=10,color="white",style="solid",shape="box"];83 -> 712[label="",style="solid", color="burlywood", weight=9]; 712 -> 142[label="",style="solid", color="burlywood", weight=3]; 84[label="xv30",fontsize=16,color="green",shape="box"];85[label="xv40",fontsize=16,color="green",shape="box"];86[label="xv40",fontsize=16,color="green",shape="box"];87[label="xv30",fontsize=16,color="green",shape="box"];88[label="xv40",fontsize=16,color="green",shape="box"];89[label="xv30",fontsize=16,color="green",shape="box"];90[label="xv40",fontsize=16,color="green",shape="box"];91[label="xv30",fontsize=16,color="green",shape="box"];92[label="xv40",fontsize=16,color="green",shape="box"];93[label="xv30",fontsize=16,color="green",shape="box"];94[label="xv40",fontsize=16,color="green",shape="box"];95[label="xv30",fontsize=16,color="green",shape="box"];96[label="xv40",fontsize=16,color="green",shape="box"];97[label="xv30",fontsize=16,color="green",shape="box"];98[label="xv40",fontsize=16,color="green",shape="box"];99[label="xv30",fontsize=16,color="green",shape="box"];100[label="xv40",fontsize=16,color="green",shape="box"];101[label="xv30",fontsize=16,color="green",shape="box"];102[label="xv40",fontsize=16,color="green",shape="box"];103[label="xv30",fontsize=16,color="green",shape="box"];104[label="xv40",fontsize=16,color="green",shape="box"];105[label="xv30",fontsize=16,color="green",shape="box"];106[label="xv40",fontsize=16,color="green",shape="box"];107[label="xv30",fontsize=16,color="green",shape="box"];108[label="xv40",fontsize=16,color="green",shape="box"];109[label="xv30",fontsize=16,color="green",shape="box"];110[label="xv40",fontsize=16,color="green",shape="box"];111[label="xv30",fontsize=16,color="green",shape="box"];112[label="xv300 : xv301 == xv400 : xv401",fontsize=16,color="black",shape="box"];112 -> 143[label="",style="solid", color="black", weight=3]; 113[label="xv300 : xv301 == []",fontsize=16,color="black",shape="box"];113 -> 144[label="",style="solid", color="black", weight=3]; 114[label="[] == xv400 : xv401",fontsize=16,color="black",shape="box"];114 -> 145[label="",style="solid", color="black", weight=3]; 115[label="[] == []",fontsize=16,color="black",shape="box"];115 -> 146[label="",style="solid", color="black", weight=3]; 116[label="(xv300,xv301) == (xv400,xv401)",fontsize=16,color="black",shape="box"];116 -> 147[label="",style="solid", color="black", weight=3]; 117[label="Integer xv300 == Integer xv400",fontsize=16,color="black",shape="box"];117 -> 148[label="",style="solid", color="black", weight=3]; 118[label="primEqFloat (Float xv300 xv301) xv40",fontsize=16,color="burlywood",shape="box"];713[label="xv40/Float xv400 xv401",fontsize=10,color="white",style="solid",shape="box"];118 -> 713[label="",style="solid", color="burlywood", weight=9]; 713 -> 149[label="",style="solid", color="burlywood", weight=3]; 119[label="False == False",fontsize=16,color="black",shape="box"];119 -> 150[label="",style="solid", color="black", weight=3]; 120[label="False == True",fontsize=16,color="black",shape="box"];120 -> 151[label="",style="solid", color="black", weight=3]; 121[label="True == False",fontsize=16,color="black",shape="box"];121 -> 152[label="",style="solid", color="black", weight=3]; 122[label="True == True",fontsize=16,color="black",shape="box"];122 -> 153[label="",style="solid", color="black", weight=3]; 123[label="xv300 :% xv301 == xv400 :% xv401",fontsize=16,color="black",shape="box"];123 -> 154[label="",style="solid", color="black", weight=3]; 124[label="(xv300,xv301,xv302) == (xv400,xv401,xv402)",fontsize=16,color="black",shape="box"];124 -> 155[label="",style="solid", color="black", weight=3]; 125[label="Nothing == Nothing",fontsize=16,color="black",shape="box"];125 -> 156[label="",style="solid", color="black", weight=3]; 126[label="Nothing == Just xv400",fontsize=16,color="black",shape="box"];126 -> 157[label="",style="solid", color="black", weight=3]; 127[label="Just xv300 == Nothing",fontsize=16,color="black",shape="box"];127 -> 158[label="",style="solid", color="black", weight=3]; 128[label="Just xv300 == Just xv400",fontsize=16,color="black",shape="box"];128 -> 159[label="",style="solid", color="black", weight=3]; 129[label="primEqInt (Pos xv300) xv40",fontsize=16,color="burlywood",shape="box"];714[label="xv300/Succ xv3000",fontsize=10,color="white",style="solid",shape="box"];129 -> 714[label="",style="solid", color="burlywood", weight=9]; 714 -> 160[label="",style="solid", color="burlywood", weight=3]; 715[label="xv300/Zero",fontsize=10,color="white",style="solid",shape="box"];129 -> 715[label="",style="solid", color="burlywood", weight=9]; 715 -> 161[label="",style="solid", color="burlywood", weight=3]; 130[label="primEqInt (Neg xv300) xv40",fontsize=16,color="burlywood",shape="box"];716[label="xv300/Succ xv3000",fontsize=10,color="white",style="solid",shape="box"];130 -> 716[label="",style="solid", color="burlywood", weight=9]; 716 -> 162[label="",style="solid", color="burlywood", weight=3]; 717[label="xv300/Zero",fontsize=10,color="white",style="solid",shape="box"];130 -> 717[label="",style="solid", color="burlywood", weight=9]; 717 -> 163[label="",style="solid", color="burlywood", weight=3]; 131[label="LT == LT",fontsize=16,color="black",shape="box"];131 -> 164[label="",style="solid", color="black", weight=3]; 132[label="LT == EQ",fontsize=16,color="black",shape="box"];132 -> 165[label="",style="solid", color="black", weight=3]; 133[label="LT == GT",fontsize=16,color="black",shape="box"];133 -> 166[label="",style="solid", color="black", weight=3]; 134[label="EQ == LT",fontsize=16,color="black",shape="box"];134 -> 167[label="",style="solid", color="black", weight=3]; 135[label="EQ == EQ",fontsize=16,color="black",shape="box"];135 -> 168[label="",style="solid", color="black", weight=3]; 136[label="EQ == GT",fontsize=16,color="black",shape="box"];136 -> 169[label="",style="solid", color="black", weight=3]; 137[label="GT == LT",fontsize=16,color="black",shape="box"];137 -> 170[label="",style="solid", color="black", weight=3]; 138[label="GT == EQ",fontsize=16,color="black",shape="box"];138 -> 171[label="",style="solid", color="black", weight=3]; 139[label="GT == GT",fontsize=16,color="black",shape="box"];139 -> 172[label="",style="solid", color="black", weight=3]; 140[label="primEqChar (Char xv300) xv40",fontsize=16,color="burlywood",shape="box"];718[label="xv40/Char xv400",fontsize=10,color="white",style="solid",shape="box"];140 -> 718[label="",style="solid", color="burlywood", weight=9]; 718 -> 173[label="",style="solid", color="burlywood", weight=3]; 141[label="() == ()",fontsize=16,color="black",shape="box"];141 -> 174[label="",style="solid", color="black", weight=3]; 142[label="primEqDouble (Double xv300 xv301) xv40",fontsize=16,color="burlywood",shape="box"];719[label="xv40/Double xv400 xv401",fontsize=10,color="white",style="solid",shape="box"];142 -> 719[label="",style="solid", color="burlywood", weight=9]; 719 -> 175[label="",style="solid", color="burlywood", weight=3]; 143 -> 216[label="",style="dashed", color="red", weight=0]; 143[label="xv300 == xv400 && xv301 == xv401",fontsize=16,color="magenta"];143 -> 217[label="",style="dashed", color="magenta", weight=3]; 143 -> 218[label="",style="dashed", color="magenta", weight=3]; 144[label="False",fontsize=16,color="green",shape="box"];145[label="False",fontsize=16,color="green",shape="box"];146[label="True",fontsize=16,color="green",shape="box"];147 -> 216[label="",style="dashed", color="red", weight=0]; 147[label="xv300 == xv400 && xv301 == xv401",fontsize=16,color="magenta"];147 -> 219[label="",style="dashed", color="magenta", weight=3]; 147 -> 220[label="",style="dashed", color="magenta", weight=3]; 148 -> 77[label="",style="dashed", color="red", weight=0]; 148[label="primEqInt xv300 xv400",fontsize=16,color="magenta"];148 -> 187[label="",style="dashed", color="magenta", weight=3]; 148 -> 188[label="",style="dashed", color="magenta", weight=3]; 149[label="primEqFloat (Float xv300 xv301) (Float xv400 xv401)",fontsize=16,color="black",shape="box"];149 -> 189[label="",style="solid", color="black", weight=3]; 150[label="True",fontsize=16,color="green",shape="box"];151[label="False",fontsize=16,color="green",shape="box"];152[label="False",fontsize=16,color="green",shape="box"];153[label="True",fontsize=16,color="green",shape="box"];154 -> 216[label="",style="dashed", color="red", weight=0]; 154[label="xv300 == xv400 && xv301 == xv401",fontsize=16,color="magenta"];154 -> 221[label="",style="dashed", color="magenta", weight=3]; 154 -> 222[label="",style="dashed", color="magenta", weight=3]; 155 -> 216[label="",style="dashed", color="red", weight=0]; 155[label="xv300 == xv400 && xv301 == xv401 && xv302 == xv402",fontsize=16,color="magenta"];155 -> 223[label="",style="dashed", color="magenta", weight=3]; 155 -> 224[label="",style="dashed", color="magenta", weight=3]; 156[label="True",fontsize=16,color="green",shape="box"];157[label="False",fontsize=16,color="green",shape="box"];158[label="False",fontsize=16,color="green",shape="box"];159[label="xv300 == xv400",fontsize=16,color="blue",shape="box"];720[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];159 -> 720[label="",style="solid", color="blue", weight=9]; 720 -> 190[label="",style="solid", color="blue", weight=3]; 721[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];159 -> 721[label="",style="solid", color="blue", weight=9]; 721 -> 191[label="",style="solid", color="blue", weight=3]; 722[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];159 -> 722[label="",style="solid", color="blue", weight=9]; 722 -> 192[label="",style="solid", color="blue", weight=3]; 723[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];159 -> 723[label="",style="solid", color="blue", weight=9]; 723 -> 193[label="",style="solid", color="blue", weight=3]; 724[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];159 -> 724[label="",style="solid", color="blue", weight=9]; 724 -> 194[label="",style="solid", color="blue", weight=3]; 725[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];159 -> 725[label="",style="solid", color="blue", weight=9]; 725 -> 195[label="",style="solid", color="blue", weight=3]; 726[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];159 -> 726[label="",style="solid", color="blue", weight=9]; 726 -> 196[label="",style="solid", color="blue", weight=3]; 727[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];159 -> 727[label="",style="solid", color="blue", weight=9]; 727 -> 197[label="",style="solid", color="blue", weight=3]; 728[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];159 -> 728[label="",style="solid", color="blue", weight=9]; 728 -> 198[label="",style="solid", color="blue", weight=3]; 729[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];159 -> 729[label="",style="solid", color="blue", weight=9]; 729 -> 199[label="",style="solid", color="blue", weight=3]; 730[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];159 -> 730[label="",style="solid", color="blue", weight=9]; 730 -> 200[label="",style="solid", color="blue", weight=3]; 731[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];159 -> 731[label="",style="solid", color="blue", weight=9]; 731 -> 201[label="",style="solid", color="blue", weight=3]; 732[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];159 -> 732[label="",style="solid", color="blue", weight=9]; 732 -> 202[label="",style="solid", color="blue", weight=3]; 733[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];159 -> 733[label="",style="solid", color="blue", weight=9]; 733 -> 203[label="",style="solid", color="blue", weight=3]; 160[label="primEqInt (Pos (Succ xv3000)) xv40",fontsize=16,color="burlywood",shape="box"];734[label="xv40/Pos xv400",fontsize=10,color="white",style="solid",shape="box"];160 -> 734[label="",style="solid", color="burlywood", weight=9]; 734 -> 204[label="",style="solid", color="burlywood", weight=3]; 735[label="xv40/Neg xv400",fontsize=10,color="white",style="solid",shape="box"];160 -> 735[label="",style="solid", color="burlywood", weight=9]; 735 -> 205[label="",style="solid", color="burlywood", weight=3]; 161[label="primEqInt (Pos Zero) xv40",fontsize=16,color="burlywood",shape="box"];736[label="xv40/Pos xv400",fontsize=10,color="white",style="solid",shape="box"];161 -> 736[label="",style="solid", color="burlywood", weight=9]; 736 -> 206[label="",style="solid", color="burlywood", weight=3]; 737[label="xv40/Neg xv400",fontsize=10,color="white",style="solid",shape="box"];161 -> 737[label="",style="solid", color="burlywood", weight=9]; 737 -> 207[label="",style="solid", color="burlywood", weight=3]; 162[label="primEqInt (Neg (Succ xv3000)) xv40",fontsize=16,color="burlywood",shape="box"];738[label="xv40/Pos xv400",fontsize=10,color="white",style="solid",shape="box"];162 -> 738[label="",style="solid", color="burlywood", weight=9]; 738 -> 208[label="",style="solid", color="burlywood", weight=3]; 739[label="xv40/Neg xv400",fontsize=10,color="white",style="solid",shape="box"];162 -> 739[label="",style="solid", color="burlywood", weight=9]; 739 -> 209[label="",style="solid", color="burlywood", weight=3]; 163[label="primEqInt (Neg Zero) xv40",fontsize=16,color="burlywood",shape="box"];740[label="xv40/Pos xv400",fontsize=10,color="white",style="solid",shape="box"];163 -> 740[label="",style="solid", color="burlywood", weight=9]; 740 -> 210[label="",style="solid", color="burlywood", weight=3]; 741[label="xv40/Neg xv400",fontsize=10,color="white",style="solid",shape="box"];163 -> 741[label="",style="solid", color="burlywood", weight=9]; 741 -> 211[label="",style="solid", color="burlywood", weight=3]; 164[label="True",fontsize=16,color="green",shape="box"];165[label="False",fontsize=16,color="green",shape="box"];166[label="False",fontsize=16,color="green",shape="box"];167[label="False",fontsize=16,color="green",shape="box"];168[label="True",fontsize=16,color="green",shape="box"];169[label="False",fontsize=16,color="green",shape="box"];170[label="False",fontsize=16,color="green",shape="box"];171[label="False",fontsize=16,color="green",shape="box"];172[label="True",fontsize=16,color="green",shape="box"];173[label="primEqChar (Char xv300) (Char xv400)",fontsize=16,color="black",shape="box"];173 -> 212[label="",style="solid", color="black", weight=3]; 174[label="True",fontsize=16,color="green",shape="box"];175[label="primEqDouble (Double xv300 xv301) (Double xv400 xv401)",fontsize=16,color="black",shape="box"];175 -> 213[label="",style="solid", color="black", weight=3]; 217[label="xv300 == xv400",fontsize=16,color="blue",shape="box"];742[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];217 -> 742[label="",style="solid", color="blue", weight=9]; 742 -> 229[label="",style="solid", color="blue", weight=3]; 743[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];217 -> 743[label="",style="solid", color="blue", weight=9]; 743 -> 230[label="",style="solid", color="blue", weight=3]; 744[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];217 -> 744[label="",style="solid", color="blue", weight=9]; 744 -> 231[label="",style="solid", color="blue", weight=3]; 745[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];217 -> 745[label="",style="solid", color="blue", weight=9]; 745 -> 232[label="",style="solid", color="blue", weight=3]; 746[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];217 -> 746[label="",style="solid", color="blue", weight=9]; 746 -> 233[label="",style="solid", color="blue", weight=3]; 747[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];217 -> 747[label="",style="solid", color="blue", weight=9]; 747 -> 234[label="",style="solid", color="blue", weight=3]; 748[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];217 -> 748[label="",style="solid", color="blue", weight=9]; 748 -> 235[label="",style="solid", color="blue", weight=3]; 749[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];217 -> 749[label="",style="solid", color="blue", weight=9]; 749 -> 236[label="",style="solid", color="blue", weight=3]; 750[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];217 -> 750[label="",style="solid", color="blue", weight=9]; 750 -> 237[label="",style="solid", color="blue", weight=3]; 751[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];217 -> 751[label="",style="solid", color="blue", weight=9]; 751 -> 238[label="",style="solid", color="blue", weight=3]; 752[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];217 -> 752[label="",style="solid", color="blue", weight=9]; 752 -> 239[label="",style="solid", color="blue", weight=3]; 753[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];217 -> 753[label="",style="solid", color="blue", weight=9]; 753 -> 240[label="",style="solid", color="blue", weight=3]; 754[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];217 -> 754[label="",style="solid", color="blue", weight=9]; 754 -> 241[label="",style="solid", color="blue", weight=3]; 755[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];217 -> 755[label="",style="solid", color="blue", weight=9]; 755 -> 242[label="",style="solid", color="blue", weight=3]; 218 -> 37[label="",style="dashed", color="red", weight=0]; 218[label="xv301 == xv401",fontsize=16,color="magenta"];218 -> 243[label="",style="dashed", color="magenta", weight=3]; 218 -> 244[label="",style="dashed", color="magenta", weight=3]; 216[label="xv12 && xv13",fontsize=16,color="burlywood",shape="triangle"];756[label="xv12/False",fontsize=10,color="white",style="solid",shape="box"];216 -> 756[label="",style="solid", color="burlywood", weight=9]; 756 -> 245[label="",style="solid", color="burlywood", weight=3]; 757[label="xv12/True",fontsize=10,color="white",style="solid",shape="box"];216 -> 757[label="",style="solid", color="burlywood", weight=9]; 757 -> 246[label="",style="solid", color="burlywood", weight=3]; 219[label="xv300 == xv400",fontsize=16,color="blue",shape="box"];758[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];219 -> 758[label="",style="solid", color="blue", weight=9]; 758 -> 247[label="",style="solid", color="blue", weight=3]; 759[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];219 -> 759[label="",style="solid", color="blue", weight=9]; 759 -> 248[label="",style="solid", color="blue", weight=3]; 760[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];219 -> 760[label="",style="solid", color="blue", weight=9]; 760 -> 249[label="",style="solid", color="blue", weight=3]; 761[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];219 -> 761[label="",style="solid", color="blue", weight=9]; 761 -> 250[label="",style="solid", color="blue", weight=3]; 762[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];219 -> 762[label="",style="solid", color="blue", weight=9]; 762 -> 251[label="",style="solid", color="blue", weight=3]; 763[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];219 -> 763[label="",style="solid", color="blue", weight=9]; 763 -> 252[label="",style="solid", color="blue", weight=3]; 764[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];219 -> 764[label="",style="solid", color="blue", weight=9]; 764 -> 253[label="",style="solid", color="blue", weight=3]; 765[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];219 -> 765[label="",style="solid", color="blue", weight=9]; 765 -> 254[label="",style="solid", color="blue", weight=3]; 766[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];219 -> 766[label="",style="solid", color="blue", weight=9]; 766 -> 255[label="",style="solid", color="blue", weight=3]; 767[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];219 -> 767[label="",style="solid", color="blue", weight=9]; 767 -> 256[label="",style="solid", color="blue", weight=3]; 768[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];219 -> 768[label="",style="solid", color="blue", weight=9]; 768 -> 257[label="",style="solid", color="blue", weight=3]; 769[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];219 -> 769[label="",style="solid", color="blue", weight=9]; 769 -> 258[label="",style="solid", color="blue", weight=3]; 770[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];219 -> 770[label="",style="solid", color="blue", weight=9]; 770 -> 259[label="",style="solid", color="blue", weight=3]; 771[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];219 -> 771[label="",style="solid", color="blue", weight=9]; 771 -> 260[label="",style="solid", color="blue", weight=3]; 220[label="xv301 == xv401",fontsize=16,color="blue",shape="box"];772[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];220 -> 772[label="",style="solid", color="blue", weight=9]; 772 -> 261[label="",style="solid", color="blue", weight=3]; 773[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];220 -> 773[label="",style="solid", color="blue", weight=9]; 773 -> 262[label="",style="solid", color="blue", weight=3]; 774[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];220 -> 774[label="",style="solid", color="blue", weight=9]; 774 -> 263[label="",style="solid", color="blue", weight=3]; 775[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];220 -> 775[label="",style="solid", color="blue", weight=9]; 775 -> 264[label="",style="solid", color="blue", weight=3]; 776[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];220 -> 776[label="",style="solid", color="blue", weight=9]; 776 -> 265[label="",style="solid", color="blue", weight=3]; 777[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];220 -> 777[label="",style="solid", color="blue", weight=9]; 777 -> 266[label="",style="solid", color="blue", weight=3]; 778[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];220 -> 778[label="",style="solid", color="blue", weight=9]; 778 -> 267[label="",style="solid", color="blue", weight=3]; 779[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];220 -> 779[label="",style="solid", color="blue", weight=9]; 779 -> 268[label="",style="solid", color="blue", weight=3]; 780[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];220 -> 780[label="",style="solid", color="blue", weight=9]; 780 -> 269[label="",style="solid", color="blue", weight=3]; 781[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];220 -> 781[label="",style="solid", color="blue", weight=9]; 781 -> 270[label="",style="solid", color="blue", weight=3]; 782[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];220 -> 782[label="",style="solid", color="blue", weight=9]; 782 -> 271[label="",style="solid", color="blue", weight=3]; 783[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];220 -> 783[label="",style="solid", color="blue", weight=9]; 783 -> 272[label="",style="solid", color="blue", weight=3]; 784[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];220 -> 784[label="",style="solid", color="blue", weight=9]; 784 -> 273[label="",style="solid", color="blue", weight=3]; 785[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];220 -> 785[label="",style="solid", color="blue", weight=9]; 785 -> 274[label="",style="solid", color="blue", weight=3]; 187[label="xv400",fontsize=16,color="green",shape="box"];188[label="xv300",fontsize=16,color="green",shape="box"];189 -> 45[label="",style="dashed", color="red", weight=0]; 189[label="xv300 * xv401 == xv301 * xv400",fontsize=16,color="magenta"];189 -> 275[label="",style="dashed", color="magenta", weight=3]; 189 -> 276[label="",style="dashed", color="magenta", weight=3]; 221[label="xv300 == xv400",fontsize=16,color="blue",shape="box"];786[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];221 -> 786[label="",style="solid", color="blue", weight=9]; 786 -> 277[label="",style="solid", color="blue", weight=3]; 787[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];221 -> 787[label="",style="solid", color="blue", weight=9]; 787 -> 278[label="",style="solid", color="blue", weight=3]; 222[label="xv301 == xv401",fontsize=16,color="blue",shape="box"];788[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];222 -> 788[label="",style="solid", color="blue", weight=9]; 788 -> 279[label="",style="solid", color="blue", weight=3]; 789[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];222 -> 789[label="",style="solid", color="blue", weight=9]; 789 -> 280[label="",style="solid", color="blue", weight=3]; 223[label="xv300 == xv400",fontsize=16,color="blue",shape="box"];790[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];223 -> 790[label="",style="solid", color="blue", weight=9]; 790 -> 281[label="",style="solid", color="blue", weight=3]; 791[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];223 -> 791[label="",style="solid", color="blue", weight=9]; 791 -> 282[label="",style="solid", color="blue", weight=3]; 792[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];223 -> 792[label="",style="solid", color="blue", weight=9]; 792 -> 283[label="",style="solid", color="blue", weight=3]; 793[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];223 -> 793[label="",style="solid", color="blue", weight=9]; 793 -> 284[label="",style="solid", color="blue", weight=3]; 794[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];223 -> 794[label="",style="solid", color="blue", weight=9]; 794 -> 285[label="",style="solid", color="blue", weight=3]; 795[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];223 -> 795[label="",style="solid", color="blue", weight=9]; 795 -> 286[label="",style="solid", color="blue", weight=3]; 796[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];223 -> 796[label="",style="solid", color="blue", weight=9]; 796 -> 287[label="",style="solid", color="blue", weight=3]; 797[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];223 -> 797[label="",style="solid", color="blue", weight=9]; 797 -> 288[label="",style="solid", color="blue", weight=3]; 798[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];223 -> 798[label="",style="solid", color="blue", weight=9]; 798 -> 289[label="",style="solid", color="blue", weight=3]; 799[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];223 -> 799[label="",style="solid", color="blue", weight=9]; 799 -> 290[label="",style="solid", color="blue", weight=3]; 800[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];223 -> 800[label="",style="solid", color="blue", weight=9]; 800 -> 291[label="",style="solid", color="blue", weight=3]; 801[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];223 -> 801[label="",style="solid", color="blue", weight=9]; 801 -> 292[label="",style="solid", color="blue", weight=3]; 802[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];223 -> 802[label="",style="solid", color="blue", weight=9]; 802 -> 293[label="",style="solid", color="blue", weight=3]; 803[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];223 -> 803[label="",style="solid", color="blue", weight=9]; 803 -> 294[label="",style="solid", color="blue", weight=3]; 224 -> 216[label="",style="dashed", color="red", weight=0]; 224[label="xv301 == xv401 && xv302 == xv402",fontsize=16,color="magenta"];224 -> 295[label="",style="dashed", color="magenta", weight=3]; 224 -> 296[label="",style="dashed", color="magenta", weight=3]; 190 -> 17[label="",style="dashed", color="red", weight=0]; 190[label="xv300 == xv400",fontsize=16,color="magenta"];190 -> 297[label="",style="dashed", color="magenta", weight=3]; 190 -> 298[label="",style="dashed", color="magenta", weight=3]; 191 -> 37[label="",style="dashed", color="red", weight=0]; 191[label="xv300 == xv400",fontsize=16,color="magenta"];191 -> 299[label="",style="dashed", color="magenta", weight=3]; 191 -> 300[label="",style="dashed", color="magenta", weight=3]; 192 -> 38[label="",style="dashed", color="red", weight=0]; 192[label="xv300 == xv400",fontsize=16,color="magenta"];192 -> 301[label="",style="dashed", color="magenta", weight=3]; 192 -> 302[label="",style="dashed", color="magenta", weight=3]; 193 -> 39[label="",style="dashed", color="red", weight=0]; 193[label="xv300 == xv400",fontsize=16,color="magenta"];193 -> 303[label="",style="dashed", color="magenta", weight=3]; 193 -> 304[label="",style="dashed", color="magenta", weight=3]; 194 -> 40[label="",style="dashed", color="red", weight=0]; 194[label="xv300 == xv400",fontsize=16,color="magenta"];194 -> 305[label="",style="dashed", color="magenta", weight=3]; 194 -> 306[label="",style="dashed", color="magenta", weight=3]; 195 -> 41[label="",style="dashed", color="red", weight=0]; 195[label="xv300 == xv400",fontsize=16,color="magenta"];195 -> 307[label="",style="dashed", color="magenta", weight=3]; 195 -> 308[label="",style="dashed", color="magenta", weight=3]; 196 -> 42[label="",style="dashed", color="red", weight=0]; 196[label="xv300 == xv400",fontsize=16,color="magenta"];196 -> 309[label="",style="dashed", color="magenta", weight=3]; 196 -> 310[label="",style="dashed", color="magenta", weight=3]; 197 -> 43[label="",style="dashed", color="red", weight=0]; 197[label="xv300 == xv400",fontsize=16,color="magenta"];197 -> 311[label="",style="dashed", color="magenta", weight=3]; 197 -> 312[label="",style="dashed", color="magenta", weight=3]; 198 -> 44[label="",style="dashed", color="red", weight=0]; 198[label="xv300 == xv400",fontsize=16,color="magenta"];198 -> 313[label="",style="dashed", color="magenta", weight=3]; 198 -> 314[label="",style="dashed", color="magenta", weight=3]; 199 -> 45[label="",style="dashed", color="red", weight=0]; 199[label="xv300 == xv400",fontsize=16,color="magenta"];199 -> 315[label="",style="dashed", color="magenta", weight=3]; 199 -> 316[label="",style="dashed", color="magenta", weight=3]; 200 -> 46[label="",style="dashed", color="red", weight=0]; 200[label="xv300 == xv400",fontsize=16,color="magenta"];200 -> 317[label="",style="dashed", color="magenta", weight=3]; 200 -> 318[label="",style="dashed", color="magenta", weight=3]; 201 -> 47[label="",style="dashed", color="red", weight=0]; 201[label="xv300 == xv400",fontsize=16,color="magenta"];201 -> 319[label="",style="dashed", color="magenta", weight=3]; 201 -> 320[label="",style="dashed", color="magenta", weight=3]; 202 -> 48[label="",style="dashed", color="red", weight=0]; 202[label="xv300 == xv400",fontsize=16,color="magenta"];202 -> 321[label="",style="dashed", color="magenta", weight=3]; 202 -> 322[label="",style="dashed", color="magenta", weight=3]; 203 -> 49[label="",style="dashed", color="red", weight=0]; 203[label="xv300 == xv400",fontsize=16,color="magenta"];203 -> 323[label="",style="dashed", color="magenta", weight=3]; 203 -> 324[label="",style="dashed", color="magenta", weight=3]; 204[label="primEqInt (Pos (Succ xv3000)) (Pos xv400)",fontsize=16,color="burlywood",shape="box"];804[label="xv400/Succ xv4000",fontsize=10,color="white",style="solid",shape="box"];204 -> 804[label="",style="solid", color="burlywood", weight=9]; 804 -> 325[label="",style="solid", color="burlywood", weight=3]; 805[label="xv400/Zero",fontsize=10,color="white",style="solid",shape="box"];204 -> 805[label="",style="solid", color="burlywood", weight=9]; 805 -> 326[label="",style="solid", color="burlywood", weight=3]; 205[label="primEqInt (Pos (Succ xv3000)) (Neg xv400)",fontsize=16,color="black",shape="box"];205 -> 327[label="",style="solid", color="black", weight=3]; 206[label="primEqInt (Pos Zero) (Pos xv400)",fontsize=16,color="burlywood",shape="box"];806[label="xv400/Succ xv4000",fontsize=10,color="white",style="solid",shape="box"];206 -> 806[label="",style="solid", color="burlywood", weight=9]; 806 -> 328[label="",style="solid", color="burlywood", weight=3]; 807[label="xv400/Zero",fontsize=10,color="white",style="solid",shape="box"];206 -> 807[label="",style="solid", color="burlywood", weight=9]; 807 -> 329[label="",style="solid", color="burlywood", weight=3]; 207[label="primEqInt (Pos Zero) (Neg xv400)",fontsize=16,color="burlywood",shape="box"];808[label="xv400/Succ xv4000",fontsize=10,color="white",style="solid",shape="box"];207 -> 808[label="",style="solid", color="burlywood", weight=9]; 808 -> 330[label="",style="solid", color="burlywood", weight=3]; 809[label="xv400/Zero",fontsize=10,color="white",style="solid",shape="box"];207 -> 809[label="",style="solid", color="burlywood", weight=9]; 809 -> 331[label="",style="solid", color="burlywood", weight=3]; 208[label="primEqInt (Neg (Succ xv3000)) (Pos xv400)",fontsize=16,color="black",shape="box"];208 -> 332[label="",style="solid", color="black", weight=3]; 209[label="primEqInt (Neg (Succ xv3000)) (Neg xv400)",fontsize=16,color="burlywood",shape="box"];810[label="xv400/Succ xv4000",fontsize=10,color="white",style="solid",shape="box"];209 -> 810[label="",style="solid", color="burlywood", weight=9]; 810 -> 333[label="",style="solid", color="burlywood", weight=3]; 811[label="xv400/Zero",fontsize=10,color="white",style="solid",shape="box"];209 -> 811[label="",style="solid", color="burlywood", weight=9]; 811 -> 334[label="",style="solid", color="burlywood", weight=3]; 210[label="primEqInt (Neg Zero) (Pos xv400)",fontsize=16,color="burlywood",shape="box"];812[label="xv400/Succ xv4000",fontsize=10,color="white",style="solid",shape="box"];210 -> 812[label="",style="solid", color="burlywood", weight=9]; 812 -> 335[label="",style="solid", color="burlywood", weight=3]; 813[label="xv400/Zero",fontsize=10,color="white",style="solid",shape="box"];210 -> 813[label="",style="solid", color="burlywood", weight=9]; 813 -> 336[label="",style="solid", color="burlywood", weight=3]; 211[label="primEqInt (Neg Zero) (Neg xv400)",fontsize=16,color="burlywood",shape="box"];814[label="xv400/Succ xv4000",fontsize=10,color="white",style="solid",shape="box"];211 -> 814[label="",style="solid", color="burlywood", weight=9]; 814 -> 337[label="",style="solid", color="burlywood", weight=3]; 815[label="xv400/Zero",fontsize=10,color="white",style="solid",shape="box"];211 -> 815[label="",style="solid", color="burlywood", weight=9]; 815 -> 338[label="",style="solid", color="burlywood", weight=3]; 212[label="primEqNat xv300 xv400",fontsize=16,color="burlywood",shape="triangle"];816[label="xv300/Succ xv3000",fontsize=10,color="white",style="solid",shape="box"];212 -> 816[label="",style="solid", color="burlywood", weight=9]; 816 -> 339[label="",style="solid", color="burlywood", weight=3]; 817[label="xv300/Zero",fontsize=10,color="white",style="solid",shape="box"];212 -> 817[label="",style="solid", color="burlywood", weight=9]; 817 -> 340[label="",style="solid", color="burlywood", weight=3]; 213 -> 45[label="",style="dashed", color="red", weight=0]; 213[label="xv300 * xv401 == xv301 * xv400",fontsize=16,color="magenta"];213 -> 341[label="",style="dashed", color="magenta", weight=3]; 213 -> 342[label="",style="dashed", color="magenta", weight=3]; 229 -> 17[label="",style="dashed", color="red", weight=0]; 229[label="xv300 == xv400",fontsize=16,color="magenta"];229 -> 343[label="",style="dashed", color="magenta", weight=3]; 229 -> 344[label="",style="dashed", color="magenta", weight=3]; 230 -> 37[label="",style="dashed", color="red", weight=0]; 230[label="xv300 == xv400",fontsize=16,color="magenta"];230 -> 345[label="",style="dashed", color="magenta", weight=3]; 230 -> 346[label="",style="dashed", color="magenta", weight=3]; 231 -> 38[label="",style="dashed", color="red", weight=0]; 231[label="xv300 == xv400",fontsize=16,color="magenta"];231 -> 347[label="",style="dashed", color="magenta", weight=3]; 231 -> 348[label="",style="dashed", color="magenta", weight=3]; 232 -> 39[label="",style="dashed", color="red", weight=0]; 232[label="xv300 == xv400",fontsize=16,color="magenta"];232 -> 349[label="",style="dashed", color="magenta", weight=3]; 232 -> 350[label="",style="dashed", color="magenta", weight=3]; 233 -> 40[label="",style="dashed", color="red", weight=0]; 233[label="xv300 == xv400",fontsize=16,color="magenta"];233 -> 351[label="",style="dashed", color="magenta", weight=3]; 233 -> 352[label="",style="dashed", color="magenta", weight=3]; 234 -> 41[label="",style="dashed", color="red", weight=0]; 234[label="xv300 == xv400",fontsize=16,color="magenta"];234 -> 353[label="",style="dashed", color="magenta", weight=3]; 234 -> 354[label="",style="dashed", color="magenta", weight=3]; 235 -> 42[label="",style="dashed", color="red", weight=0]; 235[label="xv300 == xv400",fontsize=16,color="magenta"];235 -> 355[label="",style="dashed", color="magenta", weight=3]; 235 -> 356[label="",style="dashed", color="magenta", weight=3]; 236 -> 43[label="",style="dashed", color="red", weight=0]; 236[label="xv300 == xv400",fontsize=16,color="magenta"];236 -> 357[label="",style="dashed", color="magenta", weight=3]; 236 -> 358[label="",style="dashed", color="magenta", weight=3]; 237 -> 44[label="",style="dashed", color="red", weight=0]; 237[label="xv300 == xv400",fontsize=16,color="magenta"];237 -> 359[label="",style="dashed", color="magenta", weight=3]; 237 -> 360[label="",style="dashed", color="magenta", weight=3]; 238 -> 45[label="",style="dashed", color="red", weight=0]; 238[label="xv300 == xv400",fontsize=16,color="magenta"];238 -> 361[label="",style="dashed", color="magenta", weight=3]; 238 -> 362[label="",style="dashed", color="magenta", weight=3]; 239 -> 46[label="",style="dashed", color="red", weight=0]; 239[label="xv300 == 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377[label="",style="dashed", color="magenta", weight=3]; 249 -> 378[label="",style="dashed", color="magenta", weight=3]; 250 -> 39[label="",style="dashed", color="red", weight=0]; 250[label="xv300 == xv400",fontsize=16,color="magenta"];250 -> 379[label="",style="dashed", color="magenta", weight=3]; 250 -> 380[label="",style="dashed", color="magenta", weight=3]; 251 -> 40[label="",style="dashed", color="red", weight=0]; 251[label="xv300 == xv400",fontsize=16,color="magenta"];251 -> 381[label="",style="dashed", color="magenta", weight=3]; 251 -> 382[label="",style="dashed", color="magenta", weight=3]; 252 -> 41[label="",style="dashed", color="red", weight=0]; 252[label="xv300 == xv400",fontsize=16,color="magenta"];252 -> 383[label="",style="dashed", color="magenta", weight=3]; 252 -> 384[label="",style="dashed", color="magenta", weight=3]; 253 -> 42[label="",style="dashed", color="red", weight=0]; 253[label="xv300 == xv400",fontsize=16,color="magenta"];253 -> 385[label="",style="dashed", 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270 -> 45[label="",style="dashed", color="red", weight=0]; 270[label="xv301 == xv401",fontsize=16,color="magenta"];270 -> 419[label="",style="dashed", color="magenta", weight=3]; 270 -> 420[label="",style="dashed", color="magenta", weight=3]; 271 -> 46[label="",style="dashed", color="red", weight=0]; 271[label="xv301 == xv401",fontsize=16,color="magenta"];271 -> 421[label="",style="dashed", color="magenta", weight=3]; 271 -> 422[label="",style="dashed", color="magenta", weight=3]; 272 -> 47[label="",style="dashed", color="red", weight=0]; 272[label="xv301 == xv401",fontsize=16,color="magenta"];272 -> 423[label="",style="dashed", color="magenta", weight=3]; 272 -> 424[label="",style="dashed", color="magenta", weight=3]; 273 -> 48[label="",style="dashed", color="red", weight=0]; 273[label="xv301 == xv401",fontsize=16,color="magenta"];273 -> 425[label="",style="dashed", color="magenta", weight=3]; 273 -> 426[label="",style="dashed", color="magenta", weight=3]; 274 -> 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-> 489[label="",style="solid", color="blue", weight=3]; 840[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];296 -> 840[label="",style="solid", color="blue", weight=9]; 840 -> 490[label="",style="solid", color="blue", weight=3]; 841[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];296 -> 841[label="",style="solid", color="blue", weight=9]; 841 -> 491[label="",style="solid", color="blue", weight=3]; 842[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];296 -> 842[label="",style="solid", color="blue", weight=9]; 842 -> 492[label="",style="solid", color="blue", weight=3]; 843[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];296 -> 843[label="",style="solid", color="blue", weight=9]; 843 -> 493[label="",style="solid", color="blue", weight=3]; 844[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];296 -> 844[label="",style="solid", color="blue", weight=9]; 844 -> 494[label="",style="solid", color="blue", weight=3]; 845[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];296 -> 845[label="",style="solid", color="blue", weight=9]; 845 -> 495[label="",style="solid", color="blue", weight=3]; 297[label="xv300",fontsize=16,color="green",shape="box"];298[label="xv400",fontsize=16,color="green",shape="box"];299[label="xv400",fontsize=16,color="green",shape="box"];300[label="xv300",fontsize=16,color="green",shape="box"];301[label="xv400",fontsize=16,color="green",shape="box"];302[label="xv300",fontsize=16,color="green",shape="box"];303[label="xv400",fontsize=16,color="green",shape="box"];304[label="xv300",fontsize=16,color="green",shape="box"];305[label="xv400",fontsize=16,color="green",shape="box"];306[label="xv300",fontsize=16,color="green",shape="box"];307[label="xv400",fontsize=16,color="green",shape="box"];308[label="xv300",fontsize=16,color="green",shape="box"];309[label="xv400",fontsize=16,color="green",shape="box"];310[label="xv300",fontsize=16,color="green",shape="box"];311[label="xv400",fontsize=16,color="green",shape="box"];312[label="xv300",fontsize=16,color="green",shape="box"];313[label="xv400",fontsize=16,color="green",shape="box"];314[label="xv300",fontsize=16,color="green",shape="box"];315[label="xv400",fontsize=16,color="green",shape="box"];316[label="xv300",fontsize=16,color="green",shape="box"];317[label="xv400",fontsize=16,color="green",shape="box"];318[label="xv300",fontsize=16,color="green",shape="box"];319[label="xv400",fontsize=16,color="green",shape="box"];320[label="xv300",fontsize=16,color="green",shape="box"];321[label="xv400",fontsize=16,color="green",shape="box"];322[label="xv300",fontsize=16,color="green",shape="box"];323[label="xv400",fontsize=16,color="green",shape="box"];324[label="xv300",fontsize=16,color="green",shape="box"];325[label="primEqInt (Pos (Succ xv3000)) (Pos (Succ xv4000))",fontsize=16,color="black",shape="box"];325 -> 496[label="",style="solid", color="black", weight=3]; 326[label="primEqInt (Pos (Succ xv3000)) (Pos Zero)",fontsize=16,color="black",shape="box"];326 -> 497[label="",style="solid", color="black", weight=3]; 327[label="False",fontsize=16,color="green",shape="box"];328[label="primEqInt (Pos Zero) (Pos (Succ xv4000))",fontsize=16,color="black",shape="box"];328 -> 498[label="",style="solid", color="black", weight=3]; 329[label="primEqInt (Pos Zero) (Pos Zero)",fontsize=16,color="black",shape="box"];329 -> 499[label="",style="solid", color="black", weight=3]; 330[label="primEqInt (Pos Zero) (Neg (Succ xv4000))",fontsize=16,color="black",shape="box"];330 -> 500[label="",style="solid", color="black", weight=3]; 331[label="primEqInt (Pos Zero) (Neg Zero)",fontsize=16,color="black",shape="box"];331 -> 501[label="",style="solid", color="black", weight=3]; 332[label="False",fontsize=16,color="green",shape="box"];333[label="primEqInt (Neg (Succ xv3000)) (Neg (Succ xv4000))",fontsize=16,color="black",shape="box"];333 -> 502[label="",style="solid", color="black", weight=3]; 334[label="primEqInt (Neg (Succ xv3000)) (Neg Zero)",fontsize=16,color="black",shape="box"];334 -> 503[label="",style="solid", color="black", weight=3]; 335[label="primEqInt (Neg Zero) (Pos (Succ xv4000))",fontsize=16,color="black",shape="box"];335 -> 504[label="",style="solid", color="black", weight=3]; 336[label="primEqInt (Neg Zero) (Pos Zero)",fontsize=16,color="black",shape="box"];336 -> 505[label="",style="solid", color="black", weight=3]; 337[label="primEqInt (Neg Zero) (Neg (Succ xv4000))",fontsize=16,color="black",shape="box"];337 -> 506[label="",style="solid", color="black", weight=3]; 338[label="primEqInt (Neg Zero) (Neg Zero)",fontsize=16,color="black",shape="box"];338 -> 507[label="",style="solid", color="black", weight=3]; 339[label="primEqNat (Succ xv3000) xv400",fontsize=16,color="burlywood",shape="box"];846[label="xv400/Succ xv4000",fontsize=10,color="white",style="solid",shape="box"];339 -> 846[label="",style="solid", color="burlywood", weight=9]; 846 -> 508[label="",style="solid", color="burlywood", weight=3]; 847[label="xv400/Zero",fontsize=10,color="white",style="solid",shape="box"];339 -> 847[label="",style="solid", color="burlywood", weight=9]; 847 -> 509[label="",style="solid", color="burlywood", weight=3]; 340[label="primEqNat Zero xv400",fontsize=16,color="burlywood",shape="box"];848[label="xv400/Succ xv4000",fontsize=10,color="white",style="solid",shape="box"];340 -> 848[label="",style="solid", color="burlywood", weight=9]; 848 -> 510[label="",style="solid", color="burlywood", weight=3]; 849[label="xv400/Zero",fontsize=10,color="white",style="solid",shape="box"];340 -> 849[label="",style="solid", color="burlywood", weight=9]; 849 -> 511[label="",style="solid", color="burlywood", weight=3]; 341 -> 275[label="",style="dashed", color="red", weight=0]; 341[label="xv301 * xv400",fontsize=16,color="magenta"];341 -> 512[label="",style="dashed", color="magenta", weight=3]; 341 -> 513[label="",style="dashed", color="magenta", weight=3]; 342 -> 275[label="",style="dashed", color="red", weight=0]; 342[label="xv300 * xv401",fontsize=16,color="magenta"];342 -> 514[label="",style="dashed", color="magenta", weight=3]; 342 -> 515[label="",style="dashed", color="magenta", weight=3]; 343[label="xv300",fontsize=16,color="green",shape="box"];344[label="xv400",fontsize=16,color="green",shape="box"];345[label="xv400",fontsize=16,color="green",shape="box"];346[label="xv300",fontsize=16,color="green",shape="box"];347[label="xv400",fontsize=16,color="green",shape="box"];348[label="xv300",fontsize=16,color="green",shape="box"];349[label="xv400",fontsize=16,color="green",shape="box"];350[label="xv300",fontsize=16,color="green",shape="box"];351[label="xv400",fontsize=16,color="green",shape="box"];352[label="xv300",fontsize=16,color="green",shape="box"];353[label="xv400",fontsize=16,color="green",shape="box"];354[label="xv300",fontsize=16,color="green",shape="box"];355[label="xv400",fontsize=16,color="green",shape="box"];356[label="xv300",fontsize=16,color="green",shape="box"];357[label="xv400",fontsize=16,color="green",shape="box"];358[label="xv300",fontsize=16,color="green",shape="box"];359[label="xv400",fontsize=16,color="green",shape="box"];360[label="xv300",fontsize=16,color="green",shape="box"];361[label="xv400",fontsize=16,color="green",shape="box"];362[label="xv300",fontsize=16,color="green",shape="box"];363[label="xv400",fontsize=16,color="green",shape="box"];364[label="xv300",fontsize=16,color="green",shape="box"];365[label="xv400",fontsize=16,color="green",shape="box"];366[label="xv300",fontsize=16,color="green",shape="box"];367[label="xv400",fontsize=16,color="green",shape="box"];368[label="xv300",fontsize=16,color="green",shape="box"];369[label="xv400",fontsize=16,color="green",shape="box"];370[label="xv300",fontsize=16,color="green",shape="box"];371[label="False",fontsize=16,color="green",shape="box"];372[label="xv13",fontsize=16,color="green",shape="box"];373[label="xv300",fontsize=16,color="green",shape="box"];374[label="xv400",fontsize=16,color="green",shape="box"];375[label="xv400",fontsize=16,color="green",shape="box"];376[label="xv300",fontsize=16,color="green",shape="box"];377[label="xv400",fontsize=16,color="green",shape="box"];378[label="xv300",fontsize=16,color="green",shape="box"];379[label="xv400",fontsize=16,color="green",shape="box"];380[label="xv300",fontsize=16,color="green",shape="box"];381[label="xv400",fontsize=16,color="green",shape="box"];382[label="xv300",fontsize=16,color="green",shape="box"];383[label="xv400",fontsize=16,color="green",shape="box"];384[label="xv300",fontsize=16,color="green",shape="box"];385[label="xv400",fontsize=16,color="green",shape="box"];386[label="xv300",fontsize=16,color="green",shape="box"];387[label="xv400",fontsize=16,color="green",shape="box"];388[label="xv300",fontsize=16,color="green",shape="box"];389[label="xv400",fontsize=16,color="green",shape="box"];390[label="xv300",fontsize=16,color="green",shape="box"];391[label="xv400",fontsize=16,color="green",shape="box"];392[label="xv300",fontsize=16,color="green",shape="box"];393[label="xv400",fontsize=16,color="green",shape="box"];394[label="xv300",fontsize=16,color="green",shape="box"];395[label="xv400",fontsize=16,color="green",shape="box"];396[label="xv300",fontsize=16,color="green",shape="box"];397[label="xv400",fontsize=16,color="green",shape="box"];398[label="xv300",fontsize=16,color="green",shape="box"];399[label="xv400",fontsize=16,color="green",shape="box"];400[label="xv300",fontsize=16,color="green",shape="box"];401[label="xv301",fontsize=16,color="green",shape="box"];402[label="xv401",fontsize=16,color="green",shape="box"];403[label="xv401",fontsize=16,color="green",shape="box"];404[label="xv301",fontsize=16,color="green",shape="box"];405[label="xv401",fontsize=16,color="green",shape="box"];406[label="xv301",fontsize=16,color="green",shape="box"];407[label="xv401",fontsize=16,color="green",shape="box"];408[label="xv301",fontsize=16,color="green",shape="box"];409[label="xv401",fontsize=16,color="green",shape="box"];410[label="xv301",fontsize=16,color="green",shape="box"];411[label="xv401",fontsize=16,color="green",shape="box"];412[label="xv301",fontsize=16,color="green",shape="box"];413[label="xv401",fontsize=16,color="green",shape="box"];414[label="xv301",fontsize=16,color="green",shape="box"];415[label="xv401",fontsize=16,color="green",shape="box"];416[label="xv301",fontsize=16,color="green",shape="box"];417[label="xv401",fontsize=16,color="green",shape="box"];418[label="xv301",fontsize=16,color="green",shape="box"];419[label="xv401",fontsize=16,color="green",shape="box"];420[label="xv301",fontsize=16,color="green",shape="box"];421[label="xv401",fontsize=16,color="green",shape="box"];422[label="xv301",fontsize=16,color="green",shape="box"];423[label="xv401",fontsize=16,color="green",shape="box"];424[label="xv301",fontsize=16,color="green",shape="box"];425[label="xv401",fontsize=16,color="green",shape="box"];426[label="xv301",fontsize=16,color="green",shape="box"];427[label="xv401",fontsize=16,color="green",shape="box"];428[label="xv301",fontsize=16,color="green",shape="box"];429[label="primMulInt xv301 xv400",fontsize=16,color="burlywood",shape="box"];850[label="xv301/Pos xv3010",fontsize=10,color="white",style="solid",shape="box"];429 -> 850[label="",style="solid", color="burlywood", weight=9]; 850 -> 516[label="",style="solid", color="burlywood", weight=3]; 851[label="xv301/Neg xv3010",fontsize=10,color="white",style="solid",shape="box"];429 -> 851[label="",style="solid", color="burlywood", weight=9]; 851 -> 517[label="",style="solid", color="burlywood", weight=3]; 430[label="xv300",fontsize=16,color="green",shape="box"];431[label="xv401",fontsize=16,color="green",shape="box"];432[label="xv400",fontsize=16,color="green",shape="box"];433[label="xv300",fontsize=16,color="green",shape="box"];434[label="xv400",fontsize=16,color="green",shape="box"];435[label="xv300",fontsize=16,color="green",shape="box"];436[label="xv401",fontsize=16,color="green",shape="box"];437[label="xv301",fontsize=16,color="green",shape="box"];438[label="xv401",fontsize=16,color="green",shape="box"];439[label="xv301",fontsize=16,color="green",shape="box"];440[label="xv300",fontsize=16,color="green",shape="box"];441[label="xv400",fontsize=16,color="green",shape="box"];442[label="xv400",fontsize=16,color="green",shape="box"];443[label="xv300",fontsize=16,color="green",shape="box"];444[label="xv400",fontsize=16,color="green",shape="box"];445[label="xv300",fontsize=16,color="green",shape="box"];446[label="xv400",fontsize=16,color="green",shape="box"];447[label="xv300",fontsize=16,color="green",shape="box"];448[label="xv400",fontsize=16,color="green",shape="box"];449[label="xv300",fontsize=16,color="green",shape="box"];450[label="xv400",fontsize=16,color="green",shape="box"];451[label="xv300",fontsize=16,color="green",shape="box"];452[label="xv400",fontsize=16,color="green",shape="box"];453[label="xv300",fontsize=16,color="green",shape="box"];454[label="xv400",fontsize=16,color="green",shape="box"];455[label="xv300",fontsize=16,color="green",shape="box"];456[label="xv400",fontsize=16,color="green",shape="box"];457[label="xv300",fontsize=16,color="green",shape="box"];458[label="xv400",fontsize=16,color="green",shape="box"];459[label="xv300",fontsize=16,color="green",shape="box"];460[label="xv400",fontsize=16,color="green",shape="box"];461[label="xv300",fontsize=16,color="green",shape="box"];462[label="xv400",fontsize=16,color="green",shape="box"];463[label="xv300",fontsize=16,color="green",shape="box"];464[label="xv400",fontsize=16,color="green",shape="box"];465[label="xv300",fontsize=16,color="green",shape="box"];466[label="xv400",fontsize=16,color="green",shape="box"];467[label="xv300",fontsize=16,color="green",shape="box"];468 -> 17[label="",style="dashed", color="red", weight=0]; 468[label="xv301 == xv401",fontsize=16,color="magenta"];468 -> 518[label="",style="dashed", color="magenta", weight=3]; 468 -> 519[label="",style="dashed", color="magenta", weight=3]; 469 -> 37[label="",style="dashed", color="red", weight=0]; 469[label="xv301 == xv401",fontsize=16,color="magenta"];469 -> 520[label="",style="dashed", color="magenta", weight=3]; 469 -> 521[label="",style="dashed", color="magenta", weight=3]; 470 -> 38[label="",style="dashed", color="red", weight=0]; 470[label="xv301 == xv401",fontsize=16,color="magenta"];470 -> 522[label="",style="dashed", color="magenta", weight=3]; 470 -> 523[label="",style="dashed", color="magenta", weight=3]; 471 -> 39[label="",style="dashed", color="red", weight=0]; 471[label="xv301 == xv401",fontsize=16,color="magenta"];471 -> 524[label="",style="dashed", color="magenta", weight=3]; 471 -> 525[label="",style="dashed", color="magenta", weight=3]; 472 -> 40[label="",style="dashed", color="red", weight=0]; 472[label="xv301 == xv401",fontsize=16,color="magenta"];472 -> 526[label="",style="dashed", color="magenta", weight=3]; 472 -> 527[label="",style="dashed", color="magenta", weight=3]; 473 -> 41[label="",style="dashed", color="red", weight=0]; 473[label="xv301 == xv401",fontsize=16,color="magenta"];473 -> 528[label="",style="dashed", color="magenta", weight=3]; 473 -> 529[label="",style="dashed", color="magenta", weight=3]; 474 -> 42[label="",style="dashed", color="red", weight=0]; 474[label="xv301 == xv401",fontsize=16,color="magenta"];474 -> 530[label="",style="dashed", color="magenta", weight=3]; 474 -> 531[label="",style="dashed", color="magenta", weight=3]; 475 -> 43[label="",style="dashed", color="red", weight=0]; 475[label="xv301 == xv401",fontsize=16,color="magenta"];475 -> 532[label="",style="dashed", color="magenta", weight=3]; 475 -> 533[label="",style="dashed", color="magenta", weight=3]; 476 -> 44[label="",style="dashed", color="red", weight=0]; 476[label="xv301 == xv401",fontsize=16,color="magenta"];476 -> 534[label="",style="dashed", color="magenta", weight=3]; 476 -> 535[label="",style="dashed", color="magenta", weight=3]; 477 -> 45[label="",style="dashed", color="red", weight=0]; 477[label="xv301 == xv401",fontsize=16,color="magenta"];477 -> 536[label="",style="dashed", color="magenta", weight=3]; 477 -> 537[label="",style="dashed", color="magenta", weight=3]; 478 -> 46[label="",style="dashed", color="red", weight=0]; 478[label="xv301 == xv401",fontsize=16,color="magenta"];478 -> 538[label="",style="dashed", color="magenta", weight=3]; 478 -> 539[label="",style="dashed", color="magenta", weight=3]; 479 -> 47[label="",style="dashed", color="red", weight=0]; 479[label="xv301 == xv401",fontsize=16,color="magenta"];479 -> 540[label="",style="dashed", color="magenta", weight=3]; 479 -> 541[label="",style="dashed", color="magenta", weight=3]; 480 -> 48[label="",style="dashed", color="red", weight=0]; 480[label="xv301 == xv401",fontsize=16,color="magenta"];480 -> 542[label="",style="dashed", color="magenta", weight=3]; 480 -> 543[label="",style="dashed", color="magenta", weight=3]; 481 -> 49[label="",style="dashed", color="red", weight=0]; 481[label="xv301 == xv401",fontsize=16,color="magenta"];481 -> 544[label="",style="dashed", color="magenta", weight=3]; 481 -> 545[label="",style="dashed", color="magenta", weight=3]; 482 -> 17[label="",style="dashed", color="red", weight=0]; 482[label="xv302 == xv402",fontsize=16,color="magenta"];482 -> 546[label="",style="dashed", color="magenta", weight=3]; 482 -> 547[label="",style="dashed", color="magenta", weight=3]; 483 -> 37[label="",style="dashed", color="red", weight=0]; 483[label="xv302 == xv402",fontsize=16,color="magenta"];483 -> 548[label="",style="dashed", color="magenta", weight=3]; 483 -> 549[label="",style="dashed", color="magenta", weight=3]; 484 -> 38[label="",style="dashed", color="red", weight=0]; 484[label="xv302 == xv402",fontsize=16,color="magenta"];484 -> 550[label="",style="dashed", color="magenta", weight=3]; 484 -> 551[label="",style="dashed", color="magenta", weight=3]; 485 -> 39[label="",style="dashed", color="red", weight=0]; 485[label="xv302 == xv402",fontsize=16,color="magenta"];485 -> 552[label="",style="dashed", color="magenta", weight=3]; 485 -> 553[label="",style="dashed", color="magenta", weight=3]; 486 -> 40[label="",style="dashed", color="red", weight=0]; 486[label="xv302 == xv402",fontsize=16,color="magenta"];486 -> 554[label="",style="dashed", color="magenta", weight=3]; 486 -> 555[label="",style="dashed", color="magenta", weight=3]; 487 -> 41[label="",style="dashed", color="red", weight=0]; 487[label="xv302 == xv402",fontsize=16,color="magenta"];487 -> 556[label="",style="dashed", color="magenta", weight=3]; 487 -> 557[label="",style="dashed", color="magenta", weight=3]; 488 -> 42[label="",style="dashed", color="red", weight=0]; 488[label="xv302 == xv402",fontsize=16,color="magenta"];488 -> 558[label="",style="dashed", color="magenta", weight=3]; 488 -> 559[label="",style="dashed", color="magenta", weight=3]; 489 -> 43[label="",style="dashed", color="red", weight=0]; 489[label="xv302 == xv402",fontsize=16,color="magenta"];489 -> 560[label="",style="dashed", color="magenta", weight=3]; 489 -> 561[label="",style="dashed", color="magenta", weight=3]; 490 -> 44[label="",style="dashed", color="red", weight=0]; 490[label="xv302 == xv402",fontsize=16,color="magenta"];490 -> 562[label="",style="dashed", color="magenta", weight=3]; 490 -> 563[label="",style="dashed", color="magenta", weight=3]; 491 -> 45[label="",style="dashed", color="red", weight=0]; 491[label="xv302 == xv402",fontsize=16,color="magenta"];491 -> 564[label="",style="dashed", color="magenta", weight=3]; 491 -> 565[label="",style="dashed", color="magenta", weight=3]; 492 -> 46[label="",style="dashed", color="red", weight=0]; 492[label="xv302 == xv402",fontsize=16,color="magenta"];492 -> 566[label="",style="dashed", color="magenta", weight=3]; 492 -> 567[label="",style="dashed", color="magenta", weight=3]; 493 -> 47[label="",style="dashed", color="red", weight=0]; 493[label="xv302 == xv402",fontsize=16,color="magenta"];493 -> 568[label="",style="dashed", color="magenta", weight=3]; 493 -> 569[label="",style="dashed", color="magenta", weight=3]; 494 -> 48[label="",style="dashed", color="red", weight=0]; 494[label="xv302 == xv402",fontsize=16,color="magenta"];494 -> 570[label="",style="dashed", color="magenta", weight=3]; 494 -> 571[label="",style="dashed", color="magenta", weight=3]; 495 -> 49[label="",style="dashed", color="red", weight=0]; 495[label="xv302 == xv402",fontsize=16,color="magenta"];495 -> 572[label="",style="dashed", color="magenta", weight=3]; 495 -> 573[label="",style="dashed", color="magenta", weight=3]; 496 -> 212[label="",style="dashed", color="red", weight=0]; 496[label="primEqNat xv3000 xv4000",fontsize=16,color="magenta"];496 -> 574[label="",style="dashed", color="magenta", weight=3]; 496 -> 575[label="",style="dashed", color="magenta", weight=3]; 497[label="False",fontsize=16,color="green",shape="box"];498[label="False",fontsize=16,color="green",shape="box"];499[label="True",fontsize=16,color="green",shape="box"];500[label="False",fontsize=16,color="green",shape="box"];501[label="True",fontsize=16,color="green",shape="box"];502 -> 212[label="",style="dashed", color="red", weight=0]; 502[label="primEqNat xv3000 xv4000",fontsize=16,color="magenta"];502 -> 576[label="",style="dashed", color="magenta", weight=3]; 502 -> 577[label="",style="dashed", color="magenta", weight=3]; 503[label="False",fontsize=16,color="green",shape="box"];504[label="False",fontsize=16,color="green",shape="box"];505[label="True",fontsize=16,color="green",shape="box"];506[label="False",fontsize=16,color="green",shape="box"];507[label="True",fontsize=16,color="green",shape="box"];508[label="primEqNat (Succ xv3000) (Succ xv4000)",fontsize=16,color="black",shape="box"];508 -> 578[label="",style="solid", color="black", weight=3]; 509[label="primEqNat (Succ xv3000) Zero",fontsize=16,color="black",shape="box"];509 -> 579[label="",style="solid", color="black", weight=3]; 510[label="primEqNat Zero (Succ xv4000)",fontsize=16,color="black",shape="box"];510 -> 580[label="",style="solid", color="black", weight=3]; 511[label="primEqNat Zero Zero",fontsize=16,color="black",shape="box"];511 -> 581[label="",style="solid", color="black", weight=3]; 512[label="xv301",fontsize=16,color="green",shape="box"];513[label="xv400",fontsize=16,color="green",shape="box"];514[label="xv300",fontsize=16,color="green",shape="box"];515[label="xv401",fontsize=16,color="green",shape="box"];516[label="primMulInt (Pos xv3010) xv400",fontsize=16,color="burlywood",shape="box"];852[label="xv400/Pos xv4000",fontsize=10,color="white",style="solid",shape="box"];516 -> 852[label="",style="solid", color="burlywood", weight=9]; 852 -> 582[label="",style="solid", color="burlywood", weight=3]; 853[label="xv400/Neg xv4000",fontsize=10,color="white",style="solid",shape="box"];516 -> 853[label="",style="solid", color="burlywood", weight=9]; 853 -> 583[label="",style="solid", color="burlywood", weight=3]; 517[label="primMulInt (Neg xv3010) xv400",fontsize=16,color="burlywood",shape="box"];854[label="xv400/Pos xv4000",fontsize=10,color="white",style="solid",shape="box"];517 -> 854[label="",style="solid", color="burlywood", weight=9]; 854 -> 584[label="",style="solid", color="burlywood", weight=3]; 855[label="xv400/Neg xv4000",fontsize=10,color="white",style="solid",shape="box"];517 -> 855[label="",style="solid", color="burlywood", weight=9]; 855 -> 585[label="",style="solid", color="burlywood", weight=3]; 518[label="xv301",fontsize=16,color="green",shape="box"];519[label="xv401",fontsize=16,color="green",shape="box"];520[label="xv401",fontsize=16,color="green",shape="box"];521[label="xv301",fontsize=16,color="green",shape="box"];522[label="xv401",fontsize=16,color="green",shape="box"];523[label="xv301",fontsize=16,color="green",shape="box"];524[label="xv401",fontsize=16,color="green",shape="box"];525[label="xv301",fontsize=16,color="green",shape="box"];526[label="xv401",fontsize=16,color="green",shape="box"];527[label="xv301",fontsize=16,color="green",shape="box"];528[label="xv401",fontsize=16,color="green",shape="box"];529[label="xv301",fontsize=16,color="green",shape="box"];530[label="xv401",fontsize=16,color="green",shape="box"];531[label="xv301",fontsize=16,color="green",shape="box"];532[label="xv401",fontsize=16,color="green",shape="box"];533[label="xv301",fontsize=16,color="green",shape="box"];534[label="xv401",fontsize=16,color="green",shape="box"];535[label="xv301",fontsize=16,color="green",shape="box"];536[label="xv401",fontsize=16,color="green",shape="box"];537[label="xv301",fontsize=16,color="green",shape="box"];538[label="xv401",fontsize=16,color="green",shape="box"];539[label="xv301",fontsize=16,color="green",shape="box"];540[label="xv401",fontsize=16,color="green",shape="box"];541[label="xv301",fontsize=16,color="green",shape="box"];542[label="xv401",fontsize=16,color="green",shape="box"];543[label="xv301",fontsize=16,color="green",shape="box"];544[label="xv401",fontsize=16,color="green",shape="box"];545[label="xv301",fontsize=16,color="green",shape="box"];546[label="xv302",fontsize=16,color="green",shape="box"];547[label="xv402",fontsize=16,color="green",shape="box"];548[label="xv402",fontsize=16,color="green",shape="box"];549[label="xv302",fontsize=16,color="green",shape="box"];550[label="xv402",fontsize=16,color="green",shape="box"];551[label="xv302",fontsize=16,color="green",shape="box"];552[label="xv402",fontsize=16,color="green",shape="box"];553[label="xv302",fontsize=16,color="green",shape="box"];554[label="xv402",fontsize=16,color="green",shape="box"];555[label="xv302",fontsize=16,color="green",shape="box"];556[label="xv402",fontsize=16,color="green",shape="box"];557[label="xv302",fontsize=16,color="green",shape="box"];558[label="xv402",fontsize=16,color="green",shape="box"];559[label="xv302",fontsize=16,color="green",shape="box"];560[label="xv402",fontsize=16,color="green",shape="box"];561[label="xv302",fontsize=16,color="green",shape="box"];562[label="xv402",fontsize=16,color="green",shape="box"];563[label="xv302",fontsize=16,color="green",shape="box"];564[label="xv402",fontsize=16,color="green",shape="box"];565[label="xv302",fontsize=16,color="green",shape="box"];566[label="xv402",fontsize=16,color="green",shape="box"];567[label="xv302",fontsize=16,color="green",shape="box"];568[label="xv402",fontsize=16,color="green",shape="box"];569[label="xv302",fontsize=16,color="green",shape="box"];570[label="xv402",fontsize=16,color="green",shape="box"];571[label="xv302",fontsize=16,color="green",shape="box"];572[label="xv402",fontsize=16,color="green",shape="box"];573[label="xv302",fontsize=16,color="green",shape="box"];574[label="xv3000",fontsize=16,color="green",shape="box"];575[label="xv4000",fontsize=16,color="green",shape="box"];576[label="xv3000",fontsize=16,color="green",shape="box"];577[label="xv4000",fontsize=16,color="green",shape="box"];578 -> 212[label="",style="dashed", color="red", weight=0]; 578[label="primEqNat xv3000 xv4000",fontsize=16,color="magenta"];578 -> 586[label="",style="dashed", color="magenta", weight=3]; 578 -> 587[label="",style="dashed", color="magenta", weight=3]; 579[label="False",fontsize=16,color="green",shape="box"];580[label="False",fontsize=16,color="green",shape="box"];581[label="True",fontsize=16,color="green",shape="box"];582[label="primMulInt (Pos xv3010) (Pos xv4000)",fontsize=16,color="black",shape="box"];582 -> 588[label="",style="solid", color="black", weight=3]; 583[label="primMulInt (Pos xv3010) (Neg xv4000)",fontsize=16,color="black",shape="box"];583 -> 589[label="",style="solid", color="black", weight=3]; 584[label="primMulInt (Neg xv3010) (Pos xv4000)",fontsize=16,color="black",shape="box"];584 -> 590[label="",style="solid", color="black", weight=3]; 585[label="primMulInt (Neg xv3010) (Neg xv4000)",fontsize=16,color="black",shape="box"];585 -> 591[label="",style="solid", color="black", weight=3]; 586[label="xv3000",fontsize=16,color="green",shape="box"];587[label="xv4000",fontsize=16,color="green",shape="box"];588[label="Pos (primMulNat xv3010 xv4000)",fontsize=16,color="green",shape="box"];588 -> 592[label="",style="dashed", color="green", weight=3]; 589[label="Neg (primMulNat xv3010 xv4000)",fontsize=16,color="green",shape="box"];589 -> 593[label="",style="dashed", color="green", weight=3]; 590[label="Neg (primMulNat xv3010 xv4000)",fontsize=16,color="green",shape="box"];590 -> 594[label="",style="dashed", color="green", weight=3]; 591[label="Pos (primMulNat xv3010 xv4000)",fontsize=16,color="green",shape="box"];591 -> 595[label="",style="dashed", color="green", weight=3]; 592[label="primMulNat xv3010 xv4000",fontsize=16,color="burlywood",shape="triangle"];856[label="xv3010/Succ xv30100",fontsize=10,color="white",style="solid",shape="box"];592 -> 856[label="",style="solid", color="burlywood", weight=9]; 856 -> 596[label="",style="solid", color="burlywood", weight=3]; 857[label="xv3010/Zero",fontsize=10,color="white",style="solid",shape="box"];592 -> 857[label="",style="solid", color="burlywood", weight=9]; 857 -> 597[label="",style="solid", color="burlywood", weight=3]; 593 -> 592[label="",style="dashed", color="red", weight=0]; 593[label="primMulNat xv3010 xv4000",fontsize=16,color="magenta"];593 -> 598[label="",style="dashed", color="magenta", weight=3]; 594 -> 592[label="",style="dashed", color="red", weight=0]; 594[label="primMulNat xv3010 xv4000",fontsize=16,color="magenta"];594 -> 599[label="",style="dashed", color="magenta", weight=3]; 595 -> 592[label="",style="dashed", color="red", weight=0]; 595[label="primMulNat xv3010 xv4000",fontsize=16,color="magenta"];595 -> 600[label="",style="dashed", color="magenta", weight=3]; 595 -> 601[label="",style="dashed", color="magenta", weight=3]; 596[label="primMulNat (Succ xv30100) xv4000",fontsize=16,color="burlywood",shape="box"];858[label="xv4000/Succ xv40000",fontsize=10,color="white",style="solid",shape="box"];596 -> 858[label="",style="solid", color="burlywood", weight=9]; 858 -> 602[label="",style="solid", color="burlywood", weight=3]; 859[label="xv4000/Zero",fontsize=10,color="white",style="solid",shape="box"];596 -> 859[label="",style="solid", color="burlywood", weight=9]; 859 -> 603[label="",style="solid", color="burlywood", weight=3]; 597[label="primMulNat Zero xv4000",fontsize=16,color="burlywood",shape="box"];860[label="xv4000/Succ xv40000",fontsize=10,color="white",style="solid",shape="box"];597 -> 860[label="",style="solid", color="burlywood", weight=9]; 860 -> 604[label="",style="solid", color="burlywood", weight=3]; 861[label="xv4000/Zero",fontsize=10,color="white",style="solid",shape="box"];597 -> 861[label="",style="solid", color="burlywood", weight=9]; 861 -> 605[label="",style="solid", color="burlywood", weight=3]; 598[label="xv4000",fontsize=16,color="green",shape="box"];599[label="xv3010",fontsize=16,color="green",shape="box"];600[label="xv4000",fontsize=16,color="green",shape="box"];601[label="xv3010",fontsize=16,color="green",shape="box"];602[label="primMulNat (Succ xv30100) (Succ xv40000)",fontsize=16,color="black",shape="box"];602 -> 606[label="",style="solid", color="black", weight=3]; 603[label="primMulNat (Succ xv30100) Zero",fontsize=16,color="black",shape="box"];603 -> 607[label="",style="solid", color="black", weight=3]; 604[label="primMulNat Zero (Succ xv40000)",fontsize=16,color="black",shape="box"];604 -> 608[label="",style="solid", color="black", weight=3]; 605[label="primMulNat Zero Zero",fontsize=16,color="black",shape="box"];605 -> 609[label="",style="solid", color="black", weight=3]; 606 -> 610[label="",style="dashed", color="red", weight=0]; 606[label="primPlusNat (primMulNat xv30100 (Succ xv40000)) (Succ xv40000)",fontsize=16,color="magenta"];606 -> 611[label="",style="dashed", color="magenta", weight=3]; 607[label="Zero",fontsize=16,color="green",shape="box"];608[label="Zero",fontsize=16,color="green",shape="box"];609[label="Zero",fontsize=16,color="green",shape="box"];611 -> 592[label="",style="dashed", color="red", weight=0]; 611[label="primMulNat xv30100 (Succ xv40000)",fontsize=16,color="magenta"];611 -> 612[label="",style="dashed", color="magenta", weight=3]; 611 -> 613[label="",style="dashed", color="magenta", weight=3]; 610[label="primPlusNat xv14 (Succ xv40000)",fontsize=16,color="burlywood",shape="triangle"];862[label="xv14/Succ xv140",fontsize=10,color="white",style="solid",shape="box"];610 -> 862[label="",style="solid", color="burlywood", weight=9]; 862 -> 614[label="",style="solid", color="burlywood", weight=3]; 863[label="xv14/Zero",fontsize=10,color="white",style="solid",shape="box"];610 -> 863[label="",style="solid", color="burlywood", weight=9]; 863 -> 615[label="",style="solid", color="burlywood", weight=3]; 612[label="Succ xv40000",fontsize=16,color="green",shape="box"];613[label="xv30100",fontsize=16,color="green",shape="box"];614[label="primPlusNat (Succ xv140) (Succ xv40000)",fontsize=16,color="black",shape="box"];614 -> 616[label="",style="solid", color="black", weight=3]; 615[label="primPlusNat Zero (Succ xv40000)",fontsize=16,color="black",shape="box"];615 -> 617[label="",style="solid", color="black", weight=3]; 616[label="Succ (Succ (primPlusNat xv140 xv40000))",fontsize=16,color="green",shape="box"];616 -> 618[label="",style="dashed", color="green", weight=3]; 617[label="Succ xv40000",fontsize=16,color="green",shape="box"];618[label="primPlusNat xv140 xv40000",fontsize=16,color="burlywood",shape="triangle"];864[label="xv140/Succ xv1400",fontsize=10,color="white",style="solid",shape="box"];618 -> 864[label="",style="solid", color="burlywood", weight=9]; 864 -> 619[label="",style="solid", color="burlywood", weight=3]; 865[label="xv140/Zero",fontsize=10,color="white",style="solid",shape="box"];618 -> 865[label="",style="solid", color="burlywood", weight=9]; 865 -> 620[label="",style="solid", color="burlywood", weight=3]; 619[label="primPlusNat (Succ xv1400) xv40000",fontsize=16,color="burlywood",shape="box"];866[label="xv40000/Succ xv400000",fontsize=10,color="white",style="solid",shape="box"];619 -> 866[label="",style="solid", color="burlywood", weight=9]; 866 -> 621[label="",style="solid", color="burlywood", weight=3]; 867[label="xv40000/Zero",fontsize=10,color="white",style="solid",shape="box"];619 -> 867[label="",style="solid", color="burlywood", weight=9]; 867 -> 622[label="",style="solid", color="burlywood", weight=3]; 620[label="primPlusNat Zero xv40000",fontsize=16,color="burlywood",shape="box"];868[label="xv40000/Succ xv400000",fontsize=10,color="white",style="solid",shape="box"];620 -> 868[label="",style="solid", color="burlywood", weight=9]; 868 -> 623[label="",style="solid", color="burlywood", weight=3]; 869[label="xv40000/Zero",fontsize=10,color="white",style="solid",shape="box"];620 -> 869[label="",style="solid", color="burlywood", weight=9]; 869 -> 624[label="",style="solid", color="burlywood", weight=3]; 621[label="primPlusNat (Succ xv1400) (Succ xv400000)",fontsize=16,color="black",shape="box"];621 -> 625[label="",style="solid", color="black", weight=3]; 622[label="primPlusNat (Succ xv1400) Zero",fontsize=16,color="black",shape="box"];622 -> 626[label="",style="solid", color="black", weight=3]; 623[label="primPlusNat Zero (Succ xv400000)",fontsize=16,color="black",shape="box"];623 -> 627[label="",style="solid", color="black", weight=3]; 624[label="primPlusNat Zero Zero",fontsize=16,color="black",shape="box"];624 -> 628[label="",style="solid", color="black", weight=3]; 625[label="Succ (Succ (primPlusNat xv1400 xv400000))",fontsize=16,color="green",shape="box"];625 -> 629[label="",style="dashed", color="green", weight=3]; 626[label="Succ xv1400",fontsize=16,color="green",shape="box"];627[label="Succ xv400000",fontsize=16,color="green",shape="box"];628[label="Zero",fontsize=16,color="green",shape="box"];629 -> 618[label="",style="dashed", color="red", weight=0]; 629[label="primPlusNat xv1400 xv400000",fontsize=16,color="magenta"];629 -> 630[label="",style="dashed", color="magenta", weight=3]; 629 -> 631[label="",style="dashed", color="magenta", weight=3]; 630[label="xv400000",fontsize=16,color="green",shape="box"];631[label="xv1400",fontsize=16,color="green",shape="box"];} ---------------------------------------- (6) Complex Obligation (AND) ---------------------------------------- (7) Obligation: Q DP problem: The TRS P consists of the following rules: new_esEs2(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), gf, app(app(ty_@2, hb), hc), ff) -> new_esEs1(xv301, xv401, hb, hc) new_esEs(Left(Just(xv300)), Left(Just(xv400)), app(ty_Maybe, app(app(app(ty_@3, bbf), bbg), bbh)), bb) -> new_esEs2(xv300, xv400, bbf, bbg, bbh) new_esEs(Left(@3(xv300, xv301, xv302)), Left(@3(xv400, xv401, xv402)), app(app(app(ty_@3, app(ty_[], fg)), fd), ff), bb) -> new_esEs0(xv300, xv400, fg) new_esEs(Left(@2(xv300, xv301)), Left(@2(xv400, xv401)), app(app(ty_@2, app(app(app(ty_@3, dd), de), df)), cg), bb) -> new_esEs2(xv300, xv400, dd, de, df) new_esEs(Left(@3(xv300, xv301, xv302)), Left(@3(xv400, xv401, xv402)), app(app(app(ty_@3, app(app(app(ty_@3, gb), gc), gd)), fd), ff), bb) -> new_esEs2(xv300, xv400, gb, gc, gd) new_esEs(Left(Just(xv300)), Left(Just(xv400)), app(ty_Maybe, app(ty_Maybe, bca)), bb) -> new_esEs3(xv300, xv400, bca) new_esEs(Left(@2(xv300, xv301)), Left(@2(xv400, xv401)), app(app(ty_@2, dh), app(app(ty_Either, ea), eb)), bb) -> new_esEs(xv301, xv401, ea, eb) new_esEs(Left(@3(xv300, xv301, xv302)), Left(@3(xv400, xv401, xv402)), app(app(app(ty_@3, app(app(ty_@2, fh), ga)), fd), ff), bb) -> new_esEs1(xv300, xv400, fh, ga) new_esEs0(:(xv300, xv301), :(xv400, xv401), app(ty_[], be)) -> new_esEs0(xv300, xv400, be) new_esEs0(:(xv300, xv301), :(xv400, xv401), app(app(app(ty_@3, bh), ca), cb)) -> new_esEs2(xv300, xv400, bh, ca, cb) new_esEs2(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), gf, app(app(app(ty_@3, hd), he), hf), ff) -> new_esEs2(xv301, xv401, hd, he, hf) new_esEs(Left(@3(xv300, xv301, xv302)), Left(@3(xv400, xv401, xv402)), app(app(app(ty_@3, gf), app(ty_Maybe, hg)), ff), bb) -> new_esEs3(xv301, xv401, hg) new_esEs2(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), app(app(app(ty_@3, gb), gc), gd), fd, ff) -> new_esEs2(xv300, xv400, gb, gc, gd) new_esEs2(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), gf, app(app(ty_Either, gg), gh), ff) -> new_esEs(xv301, xv401, gg, gh) new_esEs(Left(@3(xv300, xv301, xv302)), Left(@3(xv400, xv401, xv402)), app(app(app(ty_@3, app(app(ty_Either, fb), fc)), fd), ff), bb) -> new_esEs(xv300, xv400, fb, fc) new_esEs(Right(xv30), Right(xv40), bcb, app(app(app(ty_@3, bch), bda), bdb)) -> new_esEs2(xv30, xv40, bch, bda, bdb) new_esEs1(@2(xv300, xv301), @2(xv400, xv401), dh, app(ty_[], ec)) -> new_esEs0(xv301, xv401, ec) new_esEs(Left(@2(xv300, xv301)), Left(@2(xv400, xv401)), app(app(ty_@2, app(ty_[], da)), cg), bb) -> new_esEs0(xv300, xv400, da) new_esEs0(:(xv300, xv301), :(xv400, xv401), app(ty_Maybe, cc)) -> new_esEs3(xv300, xv400, cc) new_esEs1(@2(xv300, xv301), @2(xv400, xv401), app(ty_Maybe, dg), cg) -> new_esEs3(xv300, xv400, dg) new_esEs1(@2(xv300, xv301), @2(xv400, xv401), app(app(ty_@2, db), dc), cg) -> new_esEs1(xv300, xv400, db, dc) new_esEs2(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), gf, fd, app(app(ty_Either, hh), baa)) -> new_esEs(xv302, xv402, hh, baa) new_esEs(Left(:(xv300, xv301)), Left(:(xv400, xv401)), app(ty_[], app(app(ty_Either, bc), bd)), bb) -> new_esEs(xv300, xv400, bc, bd) new_esEs1(@2(xv300, xv301), @2(xv400, xv401), app(app(ty_Either, ce), cf), cg) -> new_esEs(xv300, xv400, ce, cf) new_esEs(Left(@3(xv300, xv301, xv302)), Left(@3(xv400, xv401, xv402)), app(app(app(ty_@3, gf), fd), app(app(ty_@2, bac), bad)), bb) -> new_esEs1(xv302, xv402, bac, bad) new_esEs(Left(@3(xv300, xv301, xv302)), Left(@3(xv400, xv401, xv402)), app(app(app(ty_@3, gf), app(app(ty_@2, hb), hc)), ff), bb) -> new_esEs1(xv301, xv401, hb, hc) new_esEs3(Just(xv300), Just(xv400), app(app(app(ty_@3, bbf), bbg), bbh)) -> new_esEs2(xv300, xv400, bbf, bbg, bbh) new_esEs(Right(xv30), Right(xv40), bcb, app(ty_Maybe, bdc)) -> new_esEs3(xv30, xv40, bdc) new_esEs0(:(xv300, xv301), :(xv400, xv401), app(app(ty_@2, bf), bg)) -> new_esEs1(xv300, xv400, bf, bg) new_esEs3(Just(xv300), Just(xv400), app(app(ty_@2, bbd), bbe)) -> new_esEs1(xv300, xv400, bbd, bbe) new_esEs1(@2(xv300, xv301), @2(xv400, xv401), dh, app(app(app(ty_@3, ef), eg), eh)) -> new_esEs2(xv301, xv401, ef, eg, eh) new_esEs2(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), app(ty_Maybe, ge), fd, ff) -> new_esEs3(xv300, xv400, ge) new_esEs2(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), gf, fd, app(ty_[], bab)) -> new_esEs0(xv302, xv402, bab) new_esEs(Left(@2(xv300, xv301)), Left(@2(xv400, xv401)), app(app(ty_@2, dh), app(ty_Maybe, fa)), bb) -> new_esEs3(xv301, xv401, fa) new_esEs2(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), gf, fd, app(app(ty_@2, bac), bad)) -> new_esEs1(xv302, xv402, bac, bad) new_esEs(Right(xv30), Right(xv40), bcb, app(app(ty_@2, bcf), bcg)) -> new_esEs1(xv30, xv40, bcf, bcg) new_esEs2(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), gf, fd, app(ty_Maybe, bah)) -> new_esEs3(xv302, xv402, bah) new_esEs(Left(Just(xv300)), Left(Just(xv400)), app(ty_Maybe, app(app(ty_Either, bba), bbb)), bb) -> new_esEs(xv300, xv400, bba, bbb) new_esEs3(Just(xv300), Just(xv400), app(app(ty_Either, bba), bbb)) -> new_esEs(xv300, xv400, bba, bbb) new_esEs2(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), app(ty_[], fg), fd, ff) -> new_esEs0(xv300, xv400, fg) new_esEs2(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), gf, app(ty_Maybe, hg), ff) -> new_esEs3(xv301, xv401, hg) new_esEs2(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), gf, app(ty_[], ha), ff) -> new_esEs0(xv301, xv401, ha) new_esEs3(Just(xv300), Just(xv400), app(ty_Maybe, bca)) -> new_esEs3(xv300, xv400, bca) new_esEs1(@2(xv300, xv301), @2(xv400, xv401), dh, app(app(ty_Either, ea), eb)) -> new_esEs(xv301, xv401, ea, eb) new_esEs2(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), app(app(ty_Either, fb), fc), fd, ff) -> new_esEs(xv300, xv400, fb, fc) new_esEs(Left(@3(xv300, xv301, xv302)), Left(@3(xv400, xv401, xv402)), app(app(app(ty_@3, gf), app(app(app(ty_@3, hd), he), hf)), ff), bb) -> new_esEs2(xv301, xv401, hd, he, hf) new_esEs0(:(xv300, xv301), :(xv400, xv401), app(app(ty_Either, bc), bd)) -> new_esEs(xv300, xv400, bc, bd) new_esEs(Left(@2(xv300, xv301)), Left(@2(xv400, xv401)), app(app(ty_@2, dh), app(app(ty_@2, ed), ee)), bb) -> new_esEs1(xv301, xv401, ed, ee) new_esEs(Left(@3(xv300, xv301, xv302)), Left(@3(xv400, xv401, xv402)), app(app(app(ty_@3, gf), app(ty_[], ha)), ff), bb) -> new_esEs0(xv301, xv401, ha) new_esEs3(Just(xv300), Just(xv400), app(ty_[], bbc)) -> new_esEs0(xv300, xv400, bbc) new_esEs(Left(@3(xv300, xv301, xv302)), Left(@3(xv400, xv401, xv402)), app(app(app(ty_@3, gf), app(app(ty_Either, gg), gh)), ff), bb) -> new_esEs(xv301, xv401, gg, gh) new_esEs(Left(@2(xv300, xv301)), Left(@2(xv400, xv401)), app(app(ty_@2, app(app(ty_Either, ce), cf)), cg), bb) -> new_esEs(xv300, xv400, ce, cf) new_esEs(Right(xv30), Right(xv40), bcb, app(app(ty_Either, bcc), bcd)) -> new_esEs(xv30, xv40, bcc, bcd) new_esEs0(:(xv300, xv301), :(xv400, xv401), cd) -> new_esEs0(xv301, xv401, cd) new_esEs(Left(Just(xv300)), Left(Just(xv400)), app(ty_Maybe, app(app(ty_@2, bbd), bbe)), bb) -> new_esEs1(xv300, xv400, bbd, bbe) new_esEs(Left(@3(xv300, xv301, xv302)), Left(@3(xv400, xv401, xv402)), app(app(app(ty_@3, gf), fd), app(app(ty_Either, hh), baa)), bb) -> new_esEs(xv302, xv402, hh, baa) new_esEs1(@2(xv300, xv301), @2(xv400, xv401), dh, app(ty_Maybe, fa)) -> new_esEs3(xv301, xv401, fa) new_esEs(Left(:(xv300, xv301)), Left(:(xv400, xv401)), app(ty_[], app(app(app(ty_@3, bh), ca), cb)), bb) -> new_esEs2(xv300, xv400, bh, ca, cb) new_esEs(Left(@3(xv300, xv301, xv302)), Left(@3(xv400, xv401, xv402)), app(app(app(ty_@3, gf), fd), app(ty_[], bab)), bb) -> new_esEs0(xv302, xv402, bab) new_esEs(Left(@2(xv300, xv301)), Left(@2(xv400, xv401)), app(app(ty_@2, app(ty_Maybe, dg)), cg), bb) -> new_esEs3(xv300, xv400, dg) new_esEs(Left(@2(xv300, xv301)), Left(@2(xv400, xv401)), app(app(ty_@2, dh), app(app(app(ty_@3, ef), eg), eh)), bb) -> new_esEs2(xv301, xv401, ef, eg, eh) new_esEs1(@2(xv300, xv301), @2(xv400, xv401), app(ty_[], da), cg) -> new_esEs0(xv300, xv400, da) new_esEs(Left(Just(xv300)), Left(Just(xv400)), app(ty_Maybe, app(ty_[], bbc)), bb) -> new_esEs0(xv300, xv400, bbc) new_esEs(Left(xv30), Left(xv40), app(app(ty_Either, h), ba), bb) -> new_esEs(xv30, xv40, h, ba) new_esEs1(@2(xv300, xv301), @2(xv400, xv401), app(app(app(ty_@3, dd), de), df), cg) -> new_esEs2(xv300, xv400, dd, de, df) new_esEs(Left(:(xv300, xv301)), Left(:(xv400, xv401)), app(ty_[], app(ty_[], be)), bb) -> new_esEs0(xv300, xv400, be) new_esEs(Left(@2(xv300, xv301)), Left(@2(xv400, xv401)), app(app(ty_@2, app(app(ty_@2, db), dc)), cg), bb) -> new_esEs1(xv300, xv400, db, dc) new_esEs(Left(:(xv300, xv301)), Left(:(xv400, xv401)), app(ty_[], cd), bb) -> new_esEs0(xv301, xv401, cd) new_esEs2(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), gf, fd, app(app(app(ty_@3, bae), baf), bag)) -> new_esEs2(xv302, xv402, bae, baf, bag) new_esEs(Left(@3(xv300, xv301, xv302)), Left(@3(xv400, xv401, xv402)), app(app(app(ty_@3, app(ty_Maybe, ge)), fd), ff), bb) -> new_esEs3(xv300, xv400, ge) new_esEs(Left(@3(xv300, xv301, xv302)), Left(@3(xv400, xv401, xv402)), app(app(app(ty_@3, gf), fd), app(ty_Maybe, bah)), bb) -> new_esEs3(xv302, xv402, bah) new_esEs(Left(@3(xv300, xv301, xv302)), Left(@3(xv400, xv401, xv402)), app(app(app(ty_@3, gf), fd), app(app(app(ty_@3, bae), baf), bag)), bb) -> new_esEs2(xv302, xv402, bae, baf, bag) new_esEs(Right(xv30), Right(xv40), bcb, app(ty_[], bce)) -> new_esEs0(xv30, xv40, bce) new_esEs1(@2(xv300, xv301), @2(xv400, xv401), dh, app(app(ty_@2, ed), ee)) -> new_esEs1(xv301, xv401, ed, ee) new_esEs(Left(@2(xv300, xv301)), Left(@2(xv400, xv401)), app(app(ty_@2, dh), app(ty_[], ec)), bb) -> new_esEs0(xv301, xv401, ec) new_esEs(Left(:(xv300, xv301)), Left(:(xv400, xv401)), app(ty_[], app(app(ty_@2, bf), bg)), bb) -> new_esEs1(xv300, xv400, bf, bg) new_esEs2(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), app(app(ty_@2, fh), ga), fd, ff) -> new_esEs1(xv300, xv400, fh, ga) new_esEs(Left(:(xv300, xv301)), Left(:(xv400, xv401)), app(ty_[], app(ty_Maybe, cc)), bb) -> new_esEs3(xv300, xv400, cc) R is empty. Q is empty. We have to consider all minimal (P,Q,R)-chains. ---------------------------------------- (8) QDPSizeChangeProof (EQUIVALENT) By using the subterm criterion [SUBTERM_CRITERION] together with the size-change analysis [AAECC05] we have proven that there are no infinite chains for this DP problem. From the DPs we obtained the following set of size-change graphs: *new_esEs0(:(xv300, xv301), :(xv400, xv401), app(app(app(ty_@3, bh), ca), cb)) -> new_esEs2(xv300, xv400, bh, ca, cb) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 *new_esEs0(:(xv300, xv301), :(xv400, xv401), app(app(ty_Either, bc), bd)) -> new_esEs(xv300, xv400, bc, bd) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs3(Just(xv300), Just(xv400), app(app(app(ty_@3, bbf), bbg), bbh)) -> new_esEs2(xv300, xv400, bbf, bbg, bbh) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 *new_esEs3(Just(xv300), Just(xv400), app(app(ty_Either, bba), bbb)) -> new_esEs(xv300, xv400, bba, bbb) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs3(Just(xv300), Just(xv400), app(ty_[], bbc)) -> new_esEs0(xv300, xv400, bbc) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs0(:(xv300, xv301), :(xv400, xv401), app(app(ty_@2, bf), bg)) -> new_esEs1(xv300, xv400, bf, bg) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs0(:(xv300, xv301), :(xv400, xv401), app(ty_Maybe, cc)) -> new_esEs3(xv300, xv400, cc) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs3(Just(xv300), Just(xv400), app(app(ty_@2, bbd), bbe)) -> new_esEs1(xv300, xv400, bbd, bbe) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs3(Just(xv300), Just(xv400), app(ty_Maybe, bca)) -> new_esEs3(xv300, xv400, bca) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs1(@2(xv300, xv301), @2(xv400, xv401), dh, app(app(app(ty_@3, ef), eg), eh)) -> new_esEs2(xv301, xv401, ef, eg, eh) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4, 4 > 5 *new_esEs1(@2(xv300, xv301), @2(xv400, xv401), app(app(app(ty_@3, dd), de), df), cg) -> new_esEs2(xv300, xv400, dd, de, df) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 *new_esEs1(@2(xv300, xv301), @2(xv400, xv401), app(app(ty_Either, ce), cf), cg) -> new_esEs(xv300, xv400, ce, cf) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs1(@2(xv300, xv301), @2(xv400, xv401), dh, app(app(ty_Either, ea), eb)) -> new_esEs(xv301, xv401, ea, eb) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 *new_esEs1(@2(xv300, xv301), @2(xv400, xv401), dh, app(ty_[], ec)) -> new_esEs0(xv301, xv401, ec) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 *new_esEs1(@2(xv300, xv301), @2(xv400, xv401), app(ty_[], da), cg) -> new_esEs0(xv300, xv400, da) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs1(@2(xv300, xv301), @2(xv400, xv401), app(app(ty_@2, db), dc), cg) -> new_esEs1(xv300, xv400, db, dc) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs1(@2(xv300, xv301), @2(xv400, xv401), dh, app(app(ty_@2, ed), ee)) -> new_esEs1(xv301, xv401, ed, ee) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 *new_esEs1(@2(xv300, xv301), @2(xv400, xv401), app(ty_Maybe, dg), cg) -> new_esEs3(xv300, xv400, dg) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs1(@2(xv300, xv301), @2(xv400, xv401), dh, app(ty_Maybe, fa)) -> new_esEs3(xv301, xv401, fa) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 *new_esEs2(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), gf, app(app(app(ty_@3, hd), he), hf), ff) -> new_esEs2(xv301, xv401, hd, he, hf) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4, 4 > 5 *new_esEs2(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), app(app(app(ty_@3, gb), gc), gd), fd, ff) -> new_esEs2(xv300, xv400, gb, gc, gd) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 *new_esEs2(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), gf, fd, app(app(app(ty_@3, bae), baf), bag)) -> new_esEs2(xv302, xv402, bae, baf, bag) The graph contains the following edges 1 > 1, 2 > 2, 5 > 3, 5 > 4, 5 > 5 *new_esEs(Left(Just(xv300)), Left(Just(xv400)), app(ty_Maybe, app(app(app(ty_@3, bbf), bbg), bbh)), bb) -> new_esEs2(xv300, xv400, bbf, bbg, bbh) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 *new_esEs(Left(@2(xv300, xv301)), Left(@2(xv400, xv401)), app(app(ty_@2, app(app(app(ty_@3, dd), de), df)), cg), bb) -> new_esEs2(xv300, xv400, dd, de, df) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 *new_esEs(Left(@3(xv300, xv301, xv302)), Left(@3(xv400, xv401, xv402)), app(app(app(ty_@3, app(app(app(ty_@3, gb), gc), gd)), fd), ff), bb) -> new_esEs2(xv300, xv400, gb, gc, gd) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 *new_esEs(Right(xv30), Right(xv40), bcb, app(app(app(ty_@3, bch), bda), bdb)) -> new_esEs2(xv30, xv40, bch, bda, bdb) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4, 4 > 5 *new_esEs(Left(@3(xv300, xv301, xv302)), Left(@3(xv400, xv401, xv402)), app(app(app(ty_@3, gf), app(app(app(ty_@3, hd), he), hf)), ff), bb) -> new_esEs2(xv301, xv401, hd, he, hf) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 *new_esEs(Left(:(xv300, xv301)), Left(:(xv400, xv401)), app(ty_[], app(app(app(ty_@3, bh), ca), cb)), bb) -> new_esEs2(xv300, xv400, bh, ca, cb) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 *new_esEs(Left(@2(xv300, xv301)), Left(@2(xv400, xv401)), app(app(ty_@2, dh), app(app(app(ty_@3, ef), eg), eh)), bb) -> new_esEs2(xv301, xv401, ef, eg, eh) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 *new_esEs(Left(@3(xv300, xv301, xv302)), Left(@3(xv400, xv401, xv402)), app(app(app(ty_@3, gf), fd), app(app(app(ty_@3, bae), baf), bag)), bb) -> new_esEs2(xv302, xv402, bae, baf, bag) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 *new_esEs2(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), gf, app(app(ty_Either, gg), gh), ff) -> new_esEs(xv301, xv401, gg, gh) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 *new_esEs2(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), gf, fd, app(app(ty_Either, hh), baa)) -> new_esEs(xv302, xv402, hh, baa) The graph contains the following edges 1 > 1, 2 > 2, 5 > 3, 5 > 4 *new_esEs2(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), app(app(ty_Either, fb), fc), fd, ff) -> new_esEs(xv300, xv400, fb, fc) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs2(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), gf, fd, app(ty_[], bab)) -> new_esEs0(xv302, xv402, bab) The graph contains the following edges 1 > 1, 2 > 2, 5 > 3 *new_esEs2(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), app(ty_[], fg), fd, ff) -> new_esEs0(xv300, xv400, fg) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs2(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), gf, app(ty_[], ha), ff) -> new_esEs0(xv301, xv401, ha) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 *new_esEs2(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), gf, app(app(ty_@2, hb), hc), ff) -> new_esEs1(xv301, xv401, hb, hc) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 *new_esEs2(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), gf, fd, app(app(ty_@2, bac), bad)) -> new_esEs1(xv302, xv402, bac, bad) The graph contains the following edges 1 > 1, 2 > 2, 5 > 3, 5 > 4 *new_esEs2(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), app(app(ty_@2, fh), ga), fd, ff) -> new_esEs1(xv300, xv400, fh, ga) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs2(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), app(ty_Maybe, ge), fd, ff) -> new_esEs3(xv300, xv400, ge) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs2(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), gf, fd, app(ty_Maybe, bah)) -> new_esEs3(xv302, xv402, bah) The graph contains the following edges 1 > 1, 2 > 2, 5 > 3 *new_esEs2(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), gf, app(ty_Maybe, hg), ff) -> new_esEs3(xv301, xv401, hg) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 *new_esEs(Left(@2(xv300, xv301)), Left(@2(xv400, xv401)), app(app(ty_@2, dh), app(app(ty_Either, ea), eb)), bb) -> new_esEs(xv301, xv401, ea, eb) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs(Left(@3(xv300, xv301, xv302)), Left(@3(xv400, xv401, xv402)), app(app(app(ty_@3, app(app(ty_Either, fb), fc)), fd), ff), bb) -> new_esEs(xv300, xv400, fb, fc) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs(Left(:(xv300, xv301)), Left(:(xv400, xv401)), app(ty_[], app(app(ty_Either, bc), bd)), bb) -> new_esEs(xv300, xv400, bc, bd) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs(Left(Just(xv300)), Left(Just(xv400)), app(ty_Maybe, app(app(ty_Either, bba), bbb)), bb) -> new_esEs(xv300, xv400, bba, bbb) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs(Left(@3(xv300, xv301, xv302)), Left(@3(xv400, xv401, xv402)), app(app(app(ty_@3, gf), app(app(ty_Either, gg), gh)), ff), bb) -> new_esEs(xv301, xv401, gg, gh) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs(Left(@2(xv300, xv301)), Left(@2(xv400, xv401)), app(app(ty_@2, app(app(ty_Either, ce), cf)), cg), bb) -> new_esEs(xv300, xv400, ce, cf) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs(Right(xv30), Right(xv40), bcb, app(app(ty_Either, bcc), bcd)) -> new_esEs(xv30, xv40, bcc, bcd) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 *new_esEs(Left(@3(xv300, xv301, xv302)), Left(@3(xv400, xv401, xv402)), app(app(app(ty_@3, gf), fd), app(app(ty_Either, hh), baa)), bb) -> new_esEs(xv302, xv402, hh, baa) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs(Left(xv30), Left(xv40), app(app(ty_Either, h), ba), bb) -> new_esEs(xv30, xv40, h, ba) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs0(:(xv300, xv301), :(xv400, xv401), app(ty_[], be)) -> new_esEs0(xv300, xv400, be) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs0(:(xv300, xv301), :(xv400, xv401), cd) -> new_esEs0(xv301, xv401, cd) The graph contains the following edges 1 > 1, 2 > 2, 3 >= 3 *new_esEs(Left(@3(xv300, xv301, xv302)), Left(@3(xv400, xv401, xv402)), app(app(app(ty_@3, app(ty_[], fg)), fd), ff), bb) -> new_esEs0(xv300, xv400, fg) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs(Left(@2(xv300, xv301)), Left(@2(xv400, xv401)), app(app(ty_@2, app(ty_[], da)), cg), bb) -> new_esEs0(xv300, xv400, da) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs(Left(@3(xv300, xv301, xv302)), Left(@3(xv400, xv401, xv402)), app(app(app(ty_@3, gf), app(ty_[], ha)), ff), bb) -> new_esEs0(xv301, xv401, ha) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs(Left(@3(xv300, xv301, xv302)), Left(@3(xv400, xv401, xv402)), app(app(app(ty_@3, gf), fd), app(ty_[], bab)), bb) -> new_esEs0(xv302, xv402, bab) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs(Left(Just(xv300)), Left(Just(xv400)), app(ty_Maybe, app(ty_[], bbc)), bb) -> new_esEs0(xv300, xv400, bbc) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs(Left(:(xv300, xv301)), Left(:(xv400, xv401)), app(ty_[], app(ty_[], be)), bb) -> new_esEs0(xv300, xv400, be) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs(Left(:(xv300, xv301)), Left(:(xv400, xv401)), app(ty_[], cd), bb) -> new_esEs0(xv301, xv401, cd) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs(Right(xv30), Right(xv40), bcb, app(ty_[], bce)) -> new_esEs0(xv30, xv40, bce) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 *new_esEs(Left(@2(xv300, xv301)), Left(@2(xv400, xv401)), app(app(ty_@2, dh), app(ty_[], ec)), bb) -> new_esEs0(xv301, xv401, ec) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs(Left(@3(xv300, xv301, xv302)), Left(@3(xv400, xv401, xv402)), app(app(app(ty_@3, app(app(ty_@2, fh), ga)), fd), ff), bb) -> new_esEs1(xv300, xv400, fh, ga) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs(Left(@3(xv300, xv301, xv302)), Left(@3(xv400, xv401, xv402)), app(app(app(ty_@3, gf), fd), app(app(ty_@2, bac), bad)), bb) -> new_esEs1(xv302, xv402, bac, bad) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs(Left(@3(xv300, xv301, xv302)), Left(@3(xv400, xv401, xv402)), app(app(app(ty_@3, gf), app(app(ty_@2, hb), hc)), ff), bb) -> new_esEs1(xv301, xv401, hb, hc) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs(Right(xv30), Right(xv40), bcb, app(app(ty_@2, bcf), bcg)) -> new_esEs1(xv30, xv40, bcf, bcg) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 *new_esEs(Left(@2(xv300, xv301)), Left(@2(xv400, xv401)), app(app(ty_@2, dh), app(app(ty_@2, ed), ee)), bb) -> new_esEs1(xv301, xv401, ed, ee) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs(Left(Just(xv300)), Left(Just(xv400)), app(ty_Maybe, app(app(ty_@2, bbd), bbe)), bb) -> new_esEs1(xv300, xv400, bbd, bbe) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs(Left(@2(xv300, xv301)), Left(@2(xv400, xv401)), app(app(ty_@2, app(app(ty_@2, db), dc)), cg), bb) -> new_esEs1(xv300, xv400, db, dc) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs(Left(:(xv300, xv301)), Left(:(xv400, xv401)), app(ty_[], app(app(ty_@2, bf), bg)), bb) -> new_esEs1(xv300, xv400, bf, bg) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs(Left(Just(xv300)), Left(Just(xv400)), app(ty_Maybe, app(ty_Maybe, bca)), bb) -> new_esEs3(xv300, xv400, bca) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs(Left(@3(xv300, xv301, xv302)), Left(@3(xv400, xv401, xv402)), app(app(app(ty_@3, gf), app(ty_Maybe, hg)), ff), bb) -> new_esEs3(xv301, xv401, hg) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs(Right(xv30), Right(xv40), bcb, app(ty_Maybe, bdc)) -> new_esEs3(xv30, xv40, bdc) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 *new_esEs(Left(@2(xv300, xv301)), Left(@2(xv400, xv401)), app(app(ty_@2, dh), app(ty_Maybe, fa)), bb) -> new_esEs3(xv301, xv401, fa) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs(Left(@2(xv300, xv301)), Left(@2(xv400, xv401)), app(app(ty_@2, app(ty_Maybe, dg)), cg), bb) -> new_esEs3(xv300, xv400, dg) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs(Left(@3(xv300, xv301, xv302)), Left(@3(xv400, xv401, xv402)), app(app(app(ty_@3, app(ty_Maybe, ge)), fd), ff), bb) -> new_esEs3(xv300, xv400, ge) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs(Left(@3(xv300, xv301, xv302)), Left(@3(xv400, xv401, xv402)), app(app(app(ty_@3, gf), fd), app(ty_Maybe, bah)), bb) -> new_esEs3(xv302, xv402, bah) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs(Left(:(xv300, xv301)), Left(:(xv400, xv401)), app(ty_[], app(ty_Maybe, cc)), bb) -> new_esEs3(xv300, xv400, cc) 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(xv30100), Succ(xv40000)) -> new_primMulNat(xv30100, Succ(xv40000)) 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(xv30100), Succ(xv40000)) -> new_primMulNat(xv30100, Succ(xv40000)) 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_primPlusNat(Succ(xv1400), Succ(xv400000)) -> new_primPlusNat(xv1400, xv400000) 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_primPlusNat(Succ(xv1400), Succ(xv400000)) -> new_primPlusNat(xv1400, xv400000) The graph contains the following edges 1 > 1, 2 > 2 ---------------------------------------- (15) YES ---------------------------------------- (16) Obligation: Q DP problem: The TRS P consists of the following rules: new_primEqNat(Succ(xv3000), Succ(xv4000)) -> new_primEqNat(xv3000, xv4000) 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_primEqNat(Succ(xv3000), Succ(xv4000)) -> new_primEqNat(xv3000, xv4000) The graph contains the following edges 1 > 1, 2 > 2 ---------------------------------------- (18) YES