/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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty H-Termination with start terms of the given HASKELL could be proven: (0) HASKELL (1) BR [EQUIVALENT, 0 ms] (2) HASKELL (3) COR [EQUIVALENT, 0 ms] (4)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, 0 ms] (9) YES (10) QDP (11) QDPSizeChangeProof [EQUIVALENT, 0 ms] (12) YES (13) QDP (14) QDPSizeChangeProof [EQUIVALENT, 6 ms] (15) YES (16) QDP (17) QDPSizeChangeProof [EQUIVALENT, 0 ms] (18) YES (19) QDP (20) QDPSizeChangeProof [EQUIVALENT, 0 ms] (21) YES ---------------------------------------- (0) Obligation: mainModule Main module 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="elem",fontsize=16,color="grey",shape="box"];1 -> 3[label="",style="dashed", color="grey", weight=3]; 3[label="elem xv3",fontsize=16,color="grey",shape="box"];3 -> 4[label="",style="dashed", color="grey", weight=3]; 4[label="elem xv3 xv4",fontsize=16,color="black",shape="triangle"];4 -> 5[label="",style="solid", color="black", weight=3]; 5[label="any . (==)",fontsize=16,color="black",shape="box"];5 -> 6[label="",style="solid", color="black", weight=3]; 6[label="any ((==) xv3) xv4",fontsize=16,color="black",shape="box"];6 -> 7[label="",style="solid", color="black", weight=3]; 7[label="or . map ((==) xv3)",fontsize=16,color="black",shape="box"];7 -> 8[label="",style="solid", color="black", weight=3]; 8[label="or (map ((==) xv3) xv4)",fontsize=16,color="black",shape="box"];8 -> 9[label="",style="solid", color="black", weight=3]; 9[label="foldr (||) False (map ((==) xv3) xv4)",fontsize=16,color="burlywood",shape="triangle"];663[label="xv4/xv40 : xv41",fontsize=10,color="white",style="solid",shape="box"];9 -> 663[label="",style="solid", color="burlywood", weight=9]; 663 -> 10[label="",style="solid", color="burlywood", weight=3]; 664[label="xv4/[]",fontsize=10,color="white",style="solid",shape="box"];9 -> 664[label="",style="solid", color="burlywood", weight=9]; 664 -> 11[label="",style="solid", color="burlywood", weight=3]; 10[label="foldr (||) False (map ((==) xv3) (xv40 : xv41))",fontsize=16,color="black",shape="box"];10 -> 12[label="",style="solid", color="black", weight=3]; 11[label="foldr (||) False (map ((==) xv3) [])",fontsize=16,color="black",shape="box"];11 -> 13[label="",style="solid", color="black", weight=3]; 12[label="foldr (||) False (((==) xv3 xv40) : map ((==) xv3) xv41)",fontsize=16,color="black",shape="box"];12 -> 14[label="",style="solid", color="black", weight=3]; 13[label="foldr (||) False []",fontsize=16,color="black",shape="box"];13 -> 15[label="",style="solid", color="black", weight=3]; 14 -> 29[label="",style="dashed", color="red", weight=0]; 14[label="(||) (==) xv3 xv40 foldr (||) False (map ((==) xv3) xv41)",fontsize=16,color="magenta"];14 -> 30[label="",style="dashed", color="magenta", weight=3]; 14 -> 31[label="",style="dashed", color="magenta", weight=3]; 15[label="False",fontsize=16,color="green",shape="box"];30[label="(==) xv3 xv40",fontsize=16,color="burlywood",shape="triangle"];665[label="xv3/Left xv30",fontsize=10,color="white",style="solid",shape="box"];30 -> 665[label="",style="solid", color="burlywood", weight=9]; 665 -> 42[label="",style="solid", color="burlywood", weight=3]; 666[label="xv3/Right xv30",fontsize=10,color="white",style="solid",shape="box"];30 -> 666[label="",style="solid", color="burlywood", weight=9]; 666 -> 43[label="",style="solid", color="burlywood", weight=3]; 31 -> 9[label="",style="dashed", color="red", weight=0]; 31[label="foldr (||) False (map ((==) xv3) xv41)",fontsize=16,color="magenta"];31 -> 44[label="",style="dashed", color="magenta", weight=3]; 29[label="(||) xv9 xv10",fontsize=16,color="burlywood",shape="triangle"];667[label="xv9/False",fontsize=10,color="white",style="solid",shape="box"];29 -> 667[label="",style="solid", color="burlywood", weight=9]; 667 -> 45[label="",style="solid", color="burlywood", weight=3]; 668[label="xv9/True",fontsize=10,color="white",style="solid",shape="box"];29 -> 668[label="",style="solid", color="burlywood", weight=9]; 668 -> 46[label="",style="solid", color="burlywood", weight=3]; 42[label="(==) Left xv30 xv40",fontsize=16,color="burlywood",shape="box"];669[label="xv40/Left xv400",fontsize=10,color="white",style="solid",shape="box"];42 -> 669[label="",style="solid", color="burlywood", weight=9]; 669 -> 47[label="",style="solid", color="burlywood", weight=3]; 670[label="xv40/Right xv400",fontsize=10,color="white",style="solid",shape="box"];42 -> 670[label="",style="solid", color="burlywood", weight=9]; 670 -> 48[label="",style="solid", color="burlywood", weight=3]; 43[label="(==) Right xv30 xv40",fontsize=16,color="burlywood",shape="box"];671[label="xv40/Left xv400",fontsize=10,color="white",style="solid",shape="box"];43 -> 671[label="",style="solid", color="burlywood", weight=9]; 671 -> 49[label="",style="solid", color="burlywood", weight=3]; 672[label="xv40/Right xv400",fontsize=10,color="white",style="solid",shape="box"];43 -> 672[label="",style="solid", color="burlywood", weight=9]; 672 -> 50[label="",style="solid", color="burlywood", weight=3]; 44[label="xv41",fontsize=16,color="green",shape="box"];45[label="(||) False xv10",fontsize=16,color="black",shape="box"];45 -> 51[label="",style="solid", color="black", weight=3]; 46[label="(||) True xv10",fontsize=16,color="black",shape="box"];46 -> 52[label="",style="solid", color="black", weight=3]; 47[label="(==) Left xv30 Left xv400",fontsize=16,color="black",shape="box"];47 -> 53[label="",style="solid", color="black", weight=3]; 48[label="(==) Left xv30 Right xv400",fontsize=16,color="black",shape="box"];48 -> 54[label="",style="solid", color="black", weight=3]; 49[label="(==) Right xv30 Left xv400",fontsize=16,color="black",shape="box"];49 -> 55[label="",style="solid", color="black", weight=3]; 50[label="(==) Right xv30 Right xv400",fontsize=16,color="black",shape="box"];50 -> 56[label="",style="solid", color="black", weight=3]; 51[label="xv10",fontsize=16,color="green",shape="box"];52[label="True",fontsize=16,color="green",shape="box"];53[label="xv30 == xv400",fontsize=16,color="blue",shape="box"];673[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];53 -> 673[label="",style="solid", color="blue", weight=9]; 673 -> 57[label="",style="solid", color="blue", weight=3]; 674[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];53 -> 674[label="",style="solid", color="blue", weight=9]; 674 -> 58[label="",style="solid", color="blue", weight=3]; 675[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];53 -> 675[label="",style="solid", color="blue", weight=9]; 675 -> 59[label="",style="solid", color="blue", weight=3]; 676[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];53 -> 676[label="",style="solid", color="blue", weight=9]; 676 -> 60[label="",style="solid", color="blue", weight=3]; 677[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];53 -> 677[label="",style="solid", color="blue", weight=9]; 677 -> 61[label="",style="solid", color="blue", weight=3]; 678[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];53 -> 678[label="",style="solid", color="blue", weight=9]; 678 -> 62[label="",style="solid", color="blue", weight=3]; 679[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];53 -> 679[label="",style="solid", color="blue", weight=9]; 679 -> 63[label="",style="solid", color="blue", weight=3]; 680[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];53 -> 680[label="",style="solid", color="blue", weight=9]; 680 -> 64[label="",style="solid", color="blue", weight=3]; 681[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];53 -> 681[label="",style="solid", color="blue", weight=9]; 681 -> 65[label="",style="solid", color="blue", weight=3]; 682[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];53 -> 682[label="",style="solid", color="blue", weight=9]; 682 -> 66[label="",style="solid", color="blue", weight=3]; 683[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];53 -> 683[label="",style="solid", color="blue", weight=9]; 683 -> 67[label="",style="solid", color="blue", weight=3]; 684[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];53 -> 684[label="",style="solid", color="blue", weight=9]; 684 -> 68[label="",style="solid", color="blue", weight=3]; 685[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];53 -> 685[label="",style="solid", color="blue", weight=9]; 685 -> 69[label="",style="solid", color="blue", weight=3]; 686[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];53 -> 686[label="",style="solid", color="blue", weight=9]; 686 -> 70[label="",style="solid", color="blue", weight=3]; 54[label="False",fontsize=16,color="green",shape="box"];55[label="False",fontsize=16,color="green",shape="box"];56[label="xv30 == xv400",fontsize=16,color="blue",shape="box"];687[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];56 -> 687[label="",style="solid", color="blue", weight=9]; 687 -> 71[label="",style="solid", color="blue", weight=3]; 688[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];56 -> 688[label="",style="solid", color="blue", weight=9]; 688 -> 72[label="",style="solid", color="blue", weight=3]; 689[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];56 -> 689[label="",style="solid", color="blue", weight=9]; 689 -> 73[label="",style="solid", color="blue", weight=3]; 690[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];56 -> 690[label="",style="solid", color="blue", weight=9]; 690 -> 74[label="",style="solid", color="blue", weight=3]; 691[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];56 -> 691[label="",style="solid", color="blue", weight=9]; 691 -> 75[label="",style="solid", color="blue", weight=3]; 692[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];56 -> 692[label="",style="solid", color="blue", weight=9]; 692 -> 76[label="",style="solid", color="blue", weight=3]; 693[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];56 -> 693[label="",style="solid", color="blue", weight=9]; 693 -> 77[label="",style="solid", color="blue", weight=3]; 694[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];56 -> 694[label="",style="solid", color="blue", weight=9]; 694 -> 78[label="",style="solid", color="blue", weight=3]; 695[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];56 -> 695[label="",style="solid", color="blue", weight=9]; 695 -> 79[label="",style="solid", color="blue", weight=3]; 696[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];56 -> 696[label="",style="solid", color="blue", weight=9]; 696 -> 80[label="",style="solid", color="blue", weight=3]; 697[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];56 -> 697[label="",style="solid", color="blue", weight=9]; 697 -> 81[label="",style="solid", color="blue", weight=3]; 698[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];56 -> 698[label="",style="solid", color="blue", weight=9]; 698 -> 82[label="",style="solid", color="blue", weight=3]; 699[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];56 -> 699[label="",style="solid", color="blue", weight=9]; 699 -> 83[label="",style="solid", color="blue", weight=3]; 700[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];56 -> 700[label="",style="solid", color="blue", weight=9]; 700 -> 84[label="",style="solid", color="blue", weight=3]; 57[label="xv30 == xv400",fontsize=16,color="black",shape="triangle"];57 -> 85[label="",style="solid", color="black", weight=3]; 58[label="xv30 == xv400",fontsize=16,color="burlywood",shape="triangle"];701[label="xv30/xv300 :% xv301",fontsize=10,color="white",style="solid",shape="box"];58 -> 701[label="",style="solid", color="burlywood", weight=9]; 701 -> 86[label="",style="solid", color="burlywood", weight=3]; 59[label="xv30 == xv400",fontsize=16,color="burlywood",shape="triangle"];702[label="xv30/Nothing",fontsize=10,color="white",style="solid",shape="box"];59 -> 702[label="",style="solid", color="burlywood", weight=9]; 702 -> 87[label="",style="solid", color="burlywood", weight=3]; 703[label="xv30/Just xv300",fontsize=10,color="white",style="solid",shape="box"];59 -> 703[label="",style="solid", color="burlywood", weight=9]; 703 -> 88[label="",style="solid", color="burlywood", weight=3]; 60[label="xv30 == xv400",fontsize=16,color="black",shape="triangle"];60 -> 89[label="",style="solid", color="black", weight=3]; 61[label="xv30 == xv400",fontsize=16,color="burlywood",shape="triangle"];704[label="xv30/()",fontsize=10,color="white",style="solid",shape="box"];61 -> 704[label="",style="solid", color="burlywood", weight=9]; 704 -> 90[label="",style="solid", color="burlywood", weight=3]; 62[label="xv30 == xv400",fontsize=16,color="burlywood",shape="triangle"];705[label="xv30/False",fontsize=10,color="white",style="solid",shape="box"];62 -> 705[label="",style="solid", color="burlywood", weight=9]; 705 -> 91[label="",style="solid", color="burlywood", weight=3]; 706[label="xv30/True",fontsize=10,color="white",style="solid",shape="box"];62 -> 706[label="",style="solid", color="burlywood", weight=9]; 706 -> 92[label="",style="solid", color="burlywood", weight=3]; 63 -> 30[label="",style="dashed", color="red", weight=0]; 63[label="xv30 == xv400",fontsize=16,color="magenta"];63 -> 93[label="",style="dashed", color="magenta", weight=3]; 63 -> 94[label="",style="dashed", color="magenta", weight=3]; 64[label="xv30 == xv400",fontsize=16,color="burlywood",shape="triangle"];707[label="xv30/xv300 : xv301",fontsize=10,color="white",style="solid",shape="box"];64 -> 707[label="",style="solid", color="burlywood", weight=9]; 707 -> 95[label="",style="solid", color="burlywood", weight=3]; 708[label="xv30/[]",fontsize=10,color="white",style="solid",shape="box"];64 -> 708[label="",style="solid", color="burlywood", weight=9]; 708 -> 96[label="",style="solid", color="burlywood", weight=3]; 65[label="xv30 == xv400",fontsize=16,color="burlywood",shape="triangle"];709[label="xv30/(xv300,xv301,xv302)",fontsize=10,color="white",style="solid",shape="box"];65 -> 709[label="",style="solid", color="burlywood", weight=9]; 709 -> 97[label="",style="solid", color="burlywood", weight=3]; 66[label="xv30 == xv400",fontsize=16,color="burlywood",shape="triangle"];710[label="xv30/LT",fontsize=10,color="white",style="solid",shape="box"];66 -> 710[label="",style="solid", color="burlywood", weight=9]; 710 -> 98[label="",style="solid", color="burlywood", weight=3]; 711[label="xv30/EQ",fontsize=10,color="white",style="solid",shape="box"];66 -> 711[label="",style="solid", color="burlywood", weight=9]; 711 -> 99[label="",style="solid", color="burlywood", weight=3]; 712[label="xv30/GT",fontsize=10,color="white",style="solid",shape="box"];66 -> 712[label="",style="solid", color="burlywood", weight=9]; 712 -> 100[label="",style="solid", color="burlywood", weight=3]; 67[label="xv30 == xv400",fontsize=16,color="burlywood",shape="triangle"];713[label="xv30/Integer xv300",fontsize=10,color="white",style="solid",shape="box"];67 -> 713[label="",style="solid", color="burlywood", weight=9]; 713 -> 101[label="",style="solid", color="burlywood", weight=3]; 68[label="xv30 == xv400",fontsize=16,color="burlywood",shape="triangle"];714[label="xv30/(xv300,xv301)",fontsize=10,color="white",style="solid",shape="box"];68 -> 714[label="",style="solid", color="burlywood", weight=9]; 714 -> 102[label="",style="solid", color="burlywood", weight=3]; 69[label="xv30 == xv400",fontsize=16,color="black",shape="triangle"];69 -> 103[label="",style="solid", color="black", weight=3]; 70[label="xv30 == xv400",fontsize=16,color="black",shape="triangle"];70 -> 104[label="",style="solid", color="black", weight=3]; 71 -> 57[label="",style="dashed", color="red", weight=0]; 71[label="xv30 == xv400",fontsize=16,color="magenta"];71 -> 105[label="",style="dashed", color="magenta", weight=3]; 71 -> 106[label="",style="dashed", color="magenta", weight=3]; 72 -> 58[label="",style="dashed", color="red", weight=0]; 72[label="xv30 == xv400",fontsize=16,color="magenta"];72 -> 107[label="",style="dashed", color="magenta", weight=3]; 72 -> 108[label="",style="dashed", color="magenta", weight=3]; 73 -> 59[label="",style="dashed", color="red", weight=0]; 73[label="xv30 == xv400",fontsize=16,color="magenta"];73 -> 109[label="",style="dashed", color="magenta", weight=3]; 73 -> 110[label="",style="dashed", color="magenta", weight=3]; 74 -> 60[label="",style="dashed", color="red", weight=0]; 74[label="xv30 == xv400",fontsize=16,color="magenta"];74 -> 111[label="",style="dashed", color="magenta", weight=3]; 74 -> 112[label="",style="dashed", color="magenta", weight=3]; 75 -> 61[label="",style="dashed", color="red", weight=0]; 75[label="xv30 == xv400",fontsize=16,color="magenta"];75 -> 113[label="",style="dashed", color="magenta", weight=3]; 75 -> 114[label="",style="dashed", color="magenta", weight=3]; 76 -> 62[label="",style="dashed", color="red", weight=0]; 76[label="xv30 == xv400",fontsize=16,color="magenta"];76 -> 115[label="",style="dashed", color="magenta", weight=3]; 76 -> 116[label="",style="dashed", color="magenta", weight=3]; 77 -> 30[label="",style="dashed", color="red", weight=0]; 77[label="xv30 == xv400",fontsize=16,color="magenta"];77 -> 117[label="",style="dashed", color="magenta", weight=3]; 77 -> 118[label="",style="dashed", color="magenta", weight=3]; 78 -> 64[label="",style="dashed", color="red", weight=0]; 78[label="xv30 == xv400",fontsize=16,color="magenta"];78 -> 119[label="",style="dashed", color="magenta", weight=3]; 78 -> 120[label="",style="dashed", color="magenta", weight=3]; 79 -> 65[label="",style="dashed", color="red", weight=0]; 79[label="xv30 == xv400",fontsize=16,color="magenta"];79 -> 121[label="",style="dashed", color="magenta", weight=3]; 79 -> 122[label="",style="dashed", color="magenta", weight=3]; 80 -> 66[label="",style="dashed", color="red", weight=0]; 80[label="xv30 == xv400",fontsize=16,color="magenta"];80 -> 123[label="",style="dashed", color="magenta", weight=3]; 80 -> 124[label="",style="dashed", color="magenta", weight=3]; 81 -> 67[label="",style="dashed", color="red", weight=0]; 81[label="xv30 == xv400",fontsize=16,color="magenta"];81 -> 125[label="",style="dashed", color="magenta", weight=3]; 81 -> 126[label="",style="dashed", color="magenta", weight=3]; 82 -> 68[label="",style="dashed", color="red", weight=0]; 82[label="xv30 == xv400",fontsize=16,color="magenta"];82 -> 127[label="",style="dashed", color="magenta", weight=3]; 82 -> 128[label="",style="dashed", color="magenta", weight=3]; 83 -> 69[label="",style="dashed", color="red", weight=0]; 83[label="xv30 == xv400",fontsize=16,color="magenta"];83 -> 129[label="",style="dashed", color="magenta", weight=3]; 83 -> 130[label="",style="dashed", color="magenta", weight=3]; 84 -> 70[label="",style="dashed", color="red", weight=0]; 84[label="xv30 == xv400",fontsize=16,color="magenta"];84 -> 131[label="",style="dashed", color="magenta", weight=3]; 84 -> 132[label="",style="dashed", color="magenta", weight=3]; 85[label="primEqChar xv30 xv400",fontsize=16,color="burlywood",shape="box"];715[label="xv30/Char xv300",fontsize=10,color="white",style="solid",shape="box"];85 -> 715[label="",style="solid", color="burlywood", weight=9]; 715 -> 133[label="",style="solid", color="burlywood", weight=3]; 86[label="xv300 :% xv301 == xv400",fontsize=16,color="burlywood",shape="box"];716[label="xv400/xv4000 :% xv4001",fontsize=10,color="white",style="solid",shape="box"];86 -> 716[label="",style="solid", color="burlywood", weight=9]; 716 -> 134[label="",style="solid", color="burlywood", weight=3]; 87[label="Nothing == xv400",fontsize=16,color="burlywood",shape="box"];717[label="xv400/Nothing",fontsize=10,color="white",style="solid",shape="box"];87 -> 717[label="",style="solid", color="burlywood", weight=9]; 717 -> 135[label="",style="solid", color="burlywood", weight=3]; 718[label="xv400/Just xv4000",fontsize=10,color="white",style="solid",shape="box"];87 -> 718[label="",style="solid", color="burlywood", weight=9]; 718 -> 136[label="",style="solid", color="burlywood", weight=3]; 88[label="Just xv300 == xv400",fontsize=16,color="burlywood",shape="box"];719[label="xv400/Nothing",fontsize=10,color="white",style="solid",shape="box"];88 -> 719[label="",style="solid", color="burlywood", weight=9]; 719 -> 137[label="",style="solid", color="burlywood", weight=3]; 720[label="xv400/Just xv4000",fontsize=10,color="white",style="solid",shape="box"];88 -> 720[label="",style="solid", color="burlywood", weight=9]; 720 -> 138[label="",style="solid", color="burlywood", weight=3]; 89[label="primEqFloat xv30 xv400",fontsize=16,color="burlywood",shape="box"];721[label="xv30/Float xv300 xv301",fontsize=10,color="white",style="solid",shape="box"];89 -> 721[label="",style="solid", color="burlywood", weight=9]; 721 -> 139[label="",style="solid", color="burlywood", weight=3]; 90[label="() == xv400",fontsize=16,color="burlywood",shape="box"];722[label="xv400/()",fontsize=10,color="white",style="solid",shape="box"];90 -> 722[label="",style="solid", color="burlywood", weight=9]; 722 -> 140[label="",style="solid", color="burlywood", weight=3]; 91[label="False == xv400",fontsize=16,color="burlywood",shape="box"];723[label="xv400/False",fontsize=10,color="white",style="solid",shape="box"];91 -> 723[label="",style="solid", color="burlywood", weight=9]; 723 -> 141[label="",style="solid", color="burlywood", weight=3]; 724[label="xv400/True",fontsize=10,color="white",style="solid",shape="box"];91 -> 724[label="",style="solid", color="burlywood", weight=9]; 724 -> 142[label="",style="solid", color="burlywood", weight=3]; 92[label="True == xv400",fontsize=16,color="burlywood",shape="box"];725[label="xv400/False",fontsize=10,color="white",style="solid",shape="box"];92 -> 725[label="",style="solid", color="burlywood", weight=9]; 725 -> 143[label="",style="solid", color="burlywood", weight=3]; 726[label="xv400/True",fontsize=10,color="white",style="solid",shape="box"];92 -> 726[label="",style="solid", color="burlywood", weight=9]; 726 -> 144[label="",style="solid", color="burlywood", weight=3]; 93[label="xv400",fontsize=16,color="green",shape="box"];94[label="xv30",fontsize=16,color="green",shape="box"];95[label="xv300 : xv301 == xv400",fontsize=16,color="burlywood",shape="box"];727[label="xv400/xv4000 : xv4001",fontsize=10,color="white",style="solid",shape="box"];95 -> 727[label="",style="solid", color="burlywood", weight=9]; 727 -> 145[label="",style="solid", color="burlywood", weight=3]; 728[label="xv400/[]",fontsize=10,color="white",style="solid",shape="box"];95 -> 728[label="",style="solid", color="burlywood", weight=9]; 728 -> 146[label="",style="solid", color="burlywood", weight=3]; 96[label="[] == xv400",fontsize=16,color="burlywood",shape="box"];729[label="xv400/xv4000 : xv4001",fontsize=10,color="white",style="solid",shape="box"];96 -> 729[label="",style="solid", color="burlywood", weight=9]; 729 -> 147[label="",style="solid", color="burlywood", weight=3]; 730[label="xv400/[]",fontsize=10,color="white",style="solid",shape="box"];96 -> 730[label="",style="solid", color="burlywood", weight=9]; 730 -> 148[label="",style="solid", color="burlywood", weight=3]; 97[label="(xv300,xv301,xv302) == xv400",fontsize=16,color="burlywood",shape="box"];731[label="xv400/(xv4000,xv4001,xv4002)",fontsize=10,color="white",style="solid",shape="box"];97 -> 731[label="",style="solid", color="burlywood", weight=9]; 731 -> 149[label="",style="solid", color="burlywood", weight=3]; 98[label="LT == xv400",fontsize=16,color="burlywood",shape="box"];732[label="xv400/LT",fontsize=10,color="white",style="solid",shape="box"];98 -> 732[label="",style="solid", color="burlywood", weight=9]; 732 -> 150[label="",style="solid", color="burlywood", weight=3]; 733[label="xv400/EQ",fontsize=10,color="white",style="solid",shape="box"];98 -> 733[label="",style="solid", color="burlywood", weight=9]; 733 -> 151[label="",style="solid", color="burlywood", weight=3]; 734[label="xv400/GT",fontsize=10,color="white",style="solid",shape="box"];98 -> 734[label="",style="solid", color="burlywood", weight=9]; 734 -> 152[label="",style="solid", color="burlywood", weight=3]; 99[label="EQ == xv400",fontsize=16,color="burlywood",shape="box"];735[label="xv400/LT",fontsize=10,color="white",style="solid",shape="box"];99 -> 735[label="",style="solid", color="burlywood", weight=9]; 735 -> 153[label="",style="solid", color="burlywood", weight=3]; 736[label="xv400/EQ",fontsize=10,color="white",style="solid",shape="box"];99 -> 736[label="",style="solid", color="burlywood", weight=9]; 736 -> 154[label="",style="solid", color="burlywood", weight=3]; 737[label="xv400/GT",fontsize=10,color="white",style="solid",shape="box"];99 -> 737[label="",style="solid", color="burlywood", weight=9]; 737 -> 155[label="",style="solid", color="burlywood", weight=3]; 100[label="GT == xv400",fontsize=16,color="burlywood",shape="box"];738[label="xv400/LT",fontsize=10,color="white",style="solid",shape="box"];100 -> 738[label="",style="solid", color="burlywood", weight=9]; 738 -> 156[label="",style="solid", color="burlywood", weight=3]; 739[label="xv400/EQ",fontsize=10,color="white",style="solid",shape="box"];100 -> 739[label="",style="solid", color="burlywood", weight=9]; 739 -> 157[label="",style="solid", color="burlywood", weight=3]; 740[label="xv400/GT",fontsize=10,color="white",style="solid",shape="box"];100 -> 740[label="",style="solid", color="burlywood", weight=9]; 740 -> 158[label="",style="solid", color="burlywood", weight=3]; 101[label="Integer xv300 == xv400",fontsize=16,color="burlywood",shape="box"];741[label="xv400/Integer xv4000",fontsize=10,color="white",style="solid",shape="box"];101 -> 741[label="",style="solid", color="burlywood", weight=9]; 741 -> 159[label="",style="solid", color="burlywood", weight=3]; 102[label="(xv300,xv301) == xv400",fontsize=16,color="burlywood",shape="box"];742[label="xv400/(xv4000,xv4001)",fontsize=10,color="white",style="solid",shape="box"];102 -> 742[label="",style="solid", color="burlywood", weight=9]; 742 -> 160[label="",style="solid", color="burlywood", weight=3]; 103[label="primEqInt xv30 xv400",fontsize=16,color="burlywood",shape="triangle"];743[label="xv30/Pos xv300",fontsize=10,color="white",style="solid",shape="box"];103 -> 743[label="",style="solid", color="burlywood", weight=9]; 743 -> 161[label="",style="solid", color="burlywood", weight=3]; 744[label="xv30/Neg xv300",fontsize=10,color="white",style="solid",shape="box"];103 -> 744[label="",style="solid", color="burlywood", weight=9]; 744 -> 162[label="",style="solid", color="burlywood", weight=3]; 104[label="primEqDouble xv30 xv400",fontsize=16,color="burlywood",shape="box"];745[label="xv30/Double xv300 xv301",fontsize=10,color="white",style="solid",shape="box"];104 -> 745[label="",style="solid", color="burlywood", weight=9]; 745 -> 163[label="",style="solid", color="burlywood", weight=3]; 105[label="xv30",fontsize=16,color="green",shape="box"];106[label="xv400",fontsize=16,color="green",shape="box"];107[label="xv30",fontsize=16,color="green",shape="box"];108[label="xv400",fontsize=16,color="green",shape="box"];109[label="xv30",fontsize=16,color="green",shape="box"];110[label="xv400",fontsize=16,color="green",shape="box"];111[label="xv30",fontsize=16,color="green",shape="box"];112[label="xv400",fontsize=16,color="green",shape="box"];113[label="xv30",fontsize=16,color="green",shape="box"];114[label="xv400",fontsize=16,color="green",shape="box"];115[label="xv30",fontsize=16,color="green",shape="box"];116[label="xv400",fontsize=16,color="green",shape="box"];117[label="xv400",fontsize=16,color="green",shape="box"];118[label="xv30",fontsize=16,color="green",shape="box"];119[label="xv30",fontsize=16,color="green",shape="box"];120[label="xv400",fontsize=16,color="green",shape="box"];121[label="xv30",fontsize=16,color="green",shape="box"];122[label="xv400",fontsize=16,color="green",shape="box"];123[label="xv30",fontsize=16,color="green",shape="box"];124[label="xv400",fontsize=16,color="green",shape="box"];125[label="xv30",fontsize=16,color="green",shape="box"];126[label="xv400",fontsize=16,color="green",shape="box"];127[label="xv30",fontsize=16,color="green",shape="box"];128[label="xv400",fontsize=16,color="green",shape="box"];129[label="xv30",fontsize=16,color="green",shape="box"];130[label="xv400",fontsize=16,color="green",shape="box"];131[label="xv30",fontsize=16,color="green",shape="box"];132[label="xv400",fontsize=16,color="green",shape="box"];133[label="primEqChar (Char xv300) xv400",fontsize=16,color="burlywood",shape="box"];746[label="xv400/Char xv4000",fontsize=10,color="white",style="solid",shape="box"];133 -> 746[label="",style="solid", color="burlywood", weight=9]; 746 -> 164[label="",style="solid", color="burlywood", weight=3]; 134[label="xv300 :% xv301 == xv4000 :% xv4001",fontsize=16,color="black",shape="box"];134 -> 165[label="",style="solid", color="black", weight=3]; 135[label="Nothing == Nothing",fontsize=16,color="black",shape="box"];135 -> 166[label="",style="solid", color="black", weight=3]; 136[label="Nothing == Just xv4000",fontsize=16,color="black",shape="box"];136 -> 167[label="",style="solid", color="black", weight=3]; 137[label="Just xv300 == Nothing",fontsize=16,color="black",shape="box"];137 -> 168[label="",style="solid", color="black", weight=3]; 138[label="Just xv300 == Just xv4000",fontsize=16,color="black",shape="box"];138 -> 169[label="",style="solid", color="black", weight=3]; 139[label="primEqFloat (Float xv300 xv301) xv400",fontsize=16,color="burlywood",shape="box"];747[label="xv400/Float xv4000 xv4001",fontsize=10,color="white",style="solid",shape="box"];139 -> 747[label="",style="solid", color="burlywood", weight=9]; 747 -> 170[label="",style="solid", color="burlywood", weight=3]; 140[label="() == ()",fontsize=16,color="black",shape="box"];140 -> 171[label="",style="solid", color="black", weight=3]; 141[label="False == False",fontsize=16,color="black",shape="box"];141 -> 172[label="",style="solid", color="black", weight=3]; 142[label="False == True",fontsize=16,color="black",shape="box"];142 -> 173[label="",style="solid", color="black", weight=3]; 143[label="True == False",fontsize=16,color="black",shape="box"];143 -> 174[label="",style="solid", color="black", weight=3]; 144[label="True == True",fontsize=16,color="black",shape="box"];144 -> 175[label="",style="solid", color="black", weight=3]; 145[label="xv300 : xv301 == xv4000 : xv4001",fontsize=16,color="black",shape="box"];145 -> 176[label="",style="solid", color="black", weight=3]; 146[label="xv300 : xv301 == []",fontsize=16,color="black",shape="box"];146 -> 177[label="",style="solid", color="black", weight=3]; 147[label="[] == xv4000 : xv4001",fontsize=16,color="black",shape="box"];147 -> 178[label="",style="solid", color="black", weight=3]; 148[label="[] == []",fontsize=16,color="black",shape="box"];148 -> 179[label="",style="solid", color="black", weight=3]; 149[label="(xv300,xv301,xv302) == (xv4000,xv4001,xv4002)",fontsize=16,color="black",shape="box"];149 -> 180[label="",style="solid", color="black", weight=3]; 150[label="LT == LT",fontsize=16,color="black",shape="box"];150 -> 181[label="",style="solid", color="black", weight=3]; 151[label="LT == EQ",fontsize=16,color="black",shape="box"];151 -> 182[label="",style="solid", color="black", weight=3]; 152[label="LT == GT",fontsize=16,color="black",shape="box"];152 -> 183[label="",style="solid", color="black", weight=3]; 153[label="EQ == LT",fontsize=16,color="black",shape="box"];153 -> 184[label="",style="solid", color="black", weight=3]; 154[label="EQ == EQ",fontsize=16,color="black",shape="box"];154 -> 185[label="",style="solid", color="black", weight=3]; 155[label="EQ == GT",fontsize=16,color="black",shape="box"];155 -> 186[label="",style="solid", color="black", weight=3]; 156[label="GT == LT",fontsize=16,color="black",shape="box"];156 -> 187[label="",style="solid", color="black", weight=3]; 157[label="GT == EQ",fontsize=16,color="black",shape="box"];157 -> 188[label="",style="solid", color="black", weight=3]; 158[label="GT == GT",fontsize=16,color="black",shape="box"];158 -> 189[label="",style="solid", color="black", weight=3]; 159[label="Integer xv300 == Integer xv4000",fontsize=16,color="black",shape="box"];159 -> 190[label="",style="solid", color="black", weight=3]; 160[label="(xv300,xv301) == (xv4000,xv4001)",fontsize=16,color="black",shape="box"];160 -> 191[label="",style="solid", color="black", weight=3]; 161[label="primEqInt (Pos xv300) xv400",fontsize=16,color="burlywood",shape="box"];748[label="xv300/Succ xv3000",fontsize=10,color="white",style="solid",shape="box"];161 -> 748[label="",style="solid", color="burlywood", weight=9]; 748 -> 192[label="",style="solid", color="burlywood", weight=3]; 749[label="xv300/Zero",fontsize=10,color="white",style="solid",shape="box"];161 -> 749[label="",style="solid", color="burlywood", weight=9]; 749 -> 193[label="",style="solid", color="burlywood", weight=3]; 162[label="primEqInt (Neg xv300) xv400",fontsize=16,color="burlywood",shape="box"];750[label="xv300/Succ xv3000",fontsize=10,color="white",style="solid",shape="box"];162 -> 750[label="",style="solid", color="burlywood", weight=9]; 750 -> 194[label="",style="solid", color="burlywood", weight=3]; 751[label="xv300/Zero",fontsize=10,color="white",style="solid",shape="box"];162 -> 751[label="",style="solid", color="burlywood", weight=9]; 751 -> 195[label="",style="solid", color="burlywood", weight=3]; 163[label="primEqDouble (Double xv300 xv301) xv400",fontsize=16,color="burlywood",shape="box"];752[label="xv400/Double xv4000 xv4001",fontsize=10,color="white",style="solid",shape="box"];163 -> 752[label="",style="solid", color="burlywood", weight=9]; 752 -> 196[label="",style="solid", color="burlywood", weight=3]; 164[label="primEqChar (Char xv300) (Char xv4000)",fontsize=16,color="black",shape="box"];164 -> 197[label="",style="solid", color="black", weight=3]; 165 -> 249[label="",style="dashed", color="red", weight=0]; 165[label="xv300 == xv4000 && xv301 == xv4001",fontsize=16,color="magenta"];165 -> 250[label="",style="dashed", color="magenta", weight=3]; 165 -> 251[label="",style="dashed", color="magenta", weight=3]; 166[label="True",fontsize=16,color="green",shape="box"];167[label="False",fontsize=16,color="green",shape="box"];168[label="False",fontsize=16,color="green",shape="box"];169[label="xv300 == xv4000",fontsize=16,color="blue",shape="box"];753[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];169 -> 753[label="",style="solid", color="blue", weight=9]; 753 -> 208[label="",style="solid", color="blue", weight=3]; 754[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];169 -> 754[label="",style="solid", color="blue", weight=9]; 754 -> 209[label="",style="solid", color="blue", weight=3]; 755[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];169 -> 755[label="",style="solid", color="blue", weight=9]; 755 -> 210[label="",style="solid", color="blue", weight=3]; 756[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];169 -> 756[label="",style="solid", color="blue", weight=9]; 756 -> 211[label="",style="solid", color="blue", weight=3]; 757[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];169 -> 757[label="",style="solid", color="blue", weight=9]; 757 -> 212[label="",style="solid", color="blue", weight=3]; 758[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];169 -> 758[label="",style="solid", color="blue", weight=9]; 758 -> 213[label="",style="solid", color="blue", weight=3]; 759[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];169 -> 759[label="",style="solid", color="blue", weight=9]; 759 -> 214[label="",style="solid", color="blue", weight=3]; 760[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];169 -> 760[label="",style="solid", color="blue", weight=9]; 760 -> 215[label="",style="solid", color="blue", weight=3]; 761[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];169 -> 761[label="",style="solid", color="blue", weight=9]; 761 -> 216[label="",style="solid", color="blue", weight=3]; 762[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];169 -> 762[label="",style="solid", color="blue", weight=9]; 762 -> 217[label="",style="solid", color="blue", weight=3]; 763[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];169 -> 763[label="",style="solid", color="blue", weight=9]; 763 -> 218[label="",style="solid", color="blue", weight=3]; 764[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];169 -> 764[label="",style="solid", color="blue", weight=9]; 764 -> 219[label="",style="solid", color="blue", weight=3]; 765[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];169 -> 765[label="",style="solid", color="blue", weight=9]; 765 -> 220[label="",style="solid", color="blue", weight=3]; 766[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];169 -> 766[label="",style="solid", color="blue", weight=9]; 766 -> 221[label="",style="solid", color="blue", weight=3]; 170[label="primEqFloat (Float xv300 xv301) (Float xv4000 xv4001)",fontsize=16,color="black",shape="box"];170 -> 222[label="",style="solid", color="black", weight=3]; 171[label="True",fontsize=16,color="green",shape="box"];172[label="True",fontsize=16,color="green",shape="box"];173[label="False",fontsize=16,color="green",shape="box"];174[label="False",fontsize=16,color="green",shape="box"];175[label="True",fontsize=16,color="green",shape="box"];176 -> 249[label="",style="dashed", color="red", weight=0]; 176[label="xv300 == xv4000 && xv301 == xv4001",fontsize=16,color="magenta"];176 -> 252[label="",style="dashed", color="magenta", weight=3]; 176 -> 253[label="",style="dashed", color="magenta", weight=3]; 177[label="False",fontsize=16,color="green",shape="box"];178[label="False",fontsize=16,color="green",shape="box"];179[label="True",fontsize=16,color="green",shape="box"];180 -> 249[label="",style="dashed", color="red", weight=0]; 180[label="xv300 == xv4000 && xv301 == xv4001 && xv302 == xv4002",fontsize=16,color="magenta"];180 -> 254[label="",style="dashed", color="magenta", weight=3]; 180 -> 255[label="",style="dashed", color="magenta", weight=3]; 181[label="True",fontsize=16,color="green",shape="box"];182[label="False",fontsize=16,color="green",shape="box"];183[label="False",fontsize=16,color="green",shape="box"];184[label="False",fontsize=16,color="green",shape="box"];185[label="True",fontsize=16,color="green",shape="box"];186[label="False",fontsize=16,color="green",shape="box"];187[label="False",fontsize=16,color="green",shape="box"];188[label="False",fontsize=16,color="green",shape="box"];189[label="True",fontsize=16,color="green",shape="box"];190 -> 103[label="",style="dashed", color="red", weight=0]; 190[label="primEqInt xv300 xv4000",fontsize=16,color="magenta"];190 -> 234[label="",style="dashed", color="magenta", weight=3]; 190 -> 235[label="",style="dashed", color="magenta", weight=3]; 191 -> 249[label="",style="dashed", color="red", weight=0]; 191[label="xv300 == xv4000 && xv301 == xv4001",fontsize=16,color="magenta"];191 -> 256[label="",style="dashed", color="magenta", weight=3]; 191 -> 257[label="",style="dashed", color="magenta", weight=3]; 192[label="primEqInt (Pos (Succ xv3000)) xv400",fontsize=16,color="burlywood",shape="box"];767[label="xv400/Pos xv4000",fontsize=10,color="white",style="solid",shape="box"];192 -> 767[label="",style="solid", color="burlywood", weight=9]; 767 -> 236[label="",style="solid", color="burlywood", weight=3]; 768[label="xv400/Neg xv4000",fontsize=10,color="white",style="solid",shape="box"];192 -> 768[label="",style="solid", color="burlywood", weight=9]; 768 -> 237[label="",style="solid", color="burlywood", weight=3]; 193[label="primEqInt (Pos Zero) xv400",fontsize=16,color="burlywood",shape="box"];769[label="xv400/Pos xv4000",fontsize=10,color="white",style="solid",shape="box"];193 -> 769[label="",style="solid", color="burlywood", weight=9]; 769 -> 238[label="",style="solid", color="burlywood", weight=3]; 770[label="xv400/Neg xv4000",fontsize=10,color="white",style="solid",shape="box"];193 -> 770[label="",style="solid", color="burlywood", weight=9]; 770 -> 239[label="",style="solid", color="burlywood", weight=3]; 194[label="primEqInt (Neg (Succ xv3000)) xv400",fontsize=16,color="burlywood",shape="box"];771[label="xv400/Pos xv4000",fontsize=10,color="white",style="solid",shape="box"];194 -> 771[label="",style="solid", color="burlywood", weight=9]; 771 -> 240[label="",style="solid", color="burlywood", weight=3]; 772[label="xv400/Neg xv4000",fontsize=10,color="white",style="solid",shape="box"];194 -> 772[label="",style="solid", color="burlywood", weight=9]; 772 -> 241[label="",style="solid", color="burlywood", weight=3]; 195[label="primEqInt (Neg Zero) xv400",fontsize=16,color="burlywood",shape="box"];773[label="xv400/Pos xv4000",fontsize=10,color="white",style="solid",shape="box"];195 -> 773[label="",style="solid", color="burlywood", weight=9]; 773 -> 242[label="",style="solid", color="burlywood", weight=3]; 774[label="xv400/Neg xv4000",fontsize=10,color="white",style="solid",shape="box"];195 -> 774[label="",style="solid", color="burlywood", weight=9]; 774 -> 243[label="",style="solid", color="burlywood", weight=3]; 196[label="primEqDouble (Double xv300 xv301) (Double xv4000 xv4001)",fontsize=16,color="black",shape="box"];196 -> 244[label="",style="solid", color="black", weight=3]; 197[label="primEqNat xv300 xv4000",fontsize=16,color="burlywood",shape="triangle"];775[label="xv300/Succ xv3000",fontsize=10,color="white",style="solid",shape="box"];197 -> 775[label="",style="solid", color="burlywood", weight=9]; 775 -> 245[label="",style="solid", color="burlywood", weight=3]; 776[label="xv300/Zero",fontsize=10,color="white",style="solid",shape="box"];197 -> 776[label="",style="solid", color="burlywood", weight=9]; 776 -> 246[label="",style="solid", color="burlywood", weight=3]; 250[label="xv301 == 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214[label="xv300 == xv4000",fontsize=16,color="magenta"];214 -> 280[label="",style="dashed", color="magenta", weight=3]; 214 -> 281[label="",style="dashed", color="magenta", weight=3]; 215 -> 64[label="",style="dashed", color="red", weight=0]; 215[label="xv300 == xv4000",fontsize=16,color="magenta"];215 -> 282[label="",style="dashed", color="magenta", weight=3]; 215 -> 283[label="",style="dashed", color="magenta", weight=3]; 216 -> 65[label="",style="dashed", color="red", weight=0]; 216[label="xv300 == xv4000",fontsize=16,color="magenta"];216 -> 284[label="",style="dashed", color="magenta", weight=3]; 216 -> 285[label="",style="dashed", color="magenta", weight=3]; 217 -> 66[label="",style="dashed", color="red", weight=0]; 217[label="xv300 == xv4000",fontsize=16,color="magenta"];217 -> 286[label="",style="dashed", color="magenta", weight=3]; 217 -> 287[label="",style="dashed", color="magenta", weight=3]; 218 -> 67[label="",style="dashed", color="red", weight=0]; 218[label="xv300 == xv4000",fontsize=16,color="magenta"];218 -> 288[label="",style="dashed", color="magenta", weight=3]; 218 -> 289[label="",style="dashed", color="magenta", weight=3]; 219 -> 68[label="",style="dashed", color="red", weight=0]; 219[label="xv300 == xv4000",fontsize=16,color="magenta"];219 -> 290[label="",style="dashed", color="magenta", weight=3]; 219 -> 291[label="",style="dashed", color="magenta", weight=3]; 220 -> 69[label="",style="dashed", color="red", weight=0]; 220[label="xv300 == xv4000",fontsize=16,color="magenta"];220 -> 292[label="",style="dashed", color="magenta", weight=3]; 220 -> 293[label="",style="dashed", color="magenta", weight=3]; 221 -> 70[label="",style="dashed", color="red", weight=0]; 221[label="xv300 == xv4000",fontsize=16,color="magenta"];221 -> 294[label="",style="dashed", color="magenta", weight=3]; 221 -> 295[label="",style="dashed", color="magenta", weight=3]; 222 -> 69[label="",style="dashed", color="red", weight=0]; 222[label="xv300 * xv4001 == xv301 * xv4000",fontsize=16,color="magenta"];222 -> 296[label="",style="dashed", color="magenta", weight=3]; 222 -> 297[label="",style="dashed", color="magenta", weight=3]; 252 -> 64[label="",style="dashed", color="red", weight=0]; 252[label="xv301 == xv4001",fontsize=16,color="magenta"];252 -> 298[label="",style="dashed", color="magenta", weight=3]; 252 -> 299[label="",style="dashed", color="magenta", weight=3]; 253[label="xv300 == xv4000",fontsize=16,color="blue",shape="box"];783[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];253 -> 783[label="",style="solid", color="blue", weight=9]; 783 -> 300[label="",style="solid", color="blue", weight=3]; 784[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];253 -> 784[label="",style="solid", color="blue", weight=9]; 784 -> 301[label="",style="solid", color="blue", weight=3]; 785[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];253 -> 785[label="",style="solid", color="blue", weight=9]; 785 -> 302[label="",style="solid", color="blue", weight=3]; 786[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];253 -> 786[label="",style="solid", color="blue", weight=9]; 786 -> 303[label="",style="solid", color="blue", weight=3]; 787[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];253 -> 787[label="",style="solid", color="blue", weight=9]; 787 -> 304[label="",style="solid", color="blue", weight=3]; 788[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];253 -> 788[label="",style="solid", color="blue", weight=9]; 788 -> 305[label="",style="solid", color="blue", weight=3]; 789[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];253 -> 789[label="",style="solid", color="blue", weight=9]; 789 -> 306[label="",style="solid", color="blue", weight=3]; 790[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];253 -> 790[label="",style="solid", color="blue", weight=9]; 790 -> 307[label="",style="solid", color="blue", weight=3]; 791[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];253 -> 791[label="",style="solid", color="blue", weight=9]; 791 -> 308[label="",style="solid", color="blue", weight=3]; 792[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];253 -> 792[label="",style="solid", color="blue", weight=9]; 792 -> 309[label="",style="solid", color="blue", weight=3]; 793[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];253 -> 793[label="",style="solid", color="blue", weight=9]; 793 -> 310[label="",style="solid", color="blue", weight=3]; 794[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];253 -> 794[label="",style="solid", color="blue", weight=9]; 794 -> 311[label="",style="solid", color="blue", weight=3]; 795[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];253 -> 795[label="",style="solid", color="blue", weight=9]; 795 -> 312[label="",style="solid", color="blue", weight=3]; 796[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];253 -> 796[label="",style="solid", color="blue", weight=9]; 796 -> 313[label="",style="solid", color="blue", weight=3]; 254 -> 249[label="",style="dashed", color="red", weight=0]; 254[label="xv301 == xv4001 && xv302 == xv4002",fontsize=16,color="magenta"];254 -> 314[label="",style="dashed", color="magenta", weight=3]; 254 -> 315[label="",style="dashed", color="magenta", weight=3]; 255[label="xv300 == xv4000",fontsize=16,color="blue",shape="box"];797[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];255 -> 797[label="",style="solid", color="blue", weight=9]; 797 -> 316[label="",style="solid", color="blue", weight=3]; 798[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];255 -> 798[label="",style="solid", color="blue", weight=9]; 798 -> 317[label="",style="solid", color="blue", weight=3]; 799[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];255 -> 799[label="",style="solid", color="blue", weight=9]; 799 -> 318[label="",style="solid", color="blue", weight=3]; 800[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];255 -> 800[label="",style="solid", color="blue", weight=9]; 800 -> 319[label="",style="solid", color="blue", weight=3]; 801[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];255 -> 801[label="",style="solid", color="blue", weight=9]; 801 -> 320[label="",style="solid", color="blue", weight=3]; 802[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];255 -> 802[label="",style="solid", color="blue", weight=9]; 802 -> 321[label="",style="solid", color="blue", weight=3]; 803[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];255 -> 803[label="",style="solid", color="blue", weight=9]; 803 -> 322[label="",style="solid", color="blue", weight=3]; 804[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];255 -> 804[label="",style="solid", color="blue", weight=9]; 804 -> 323[label="",style="solid", color="blue", weight=3]; 805[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];255 -> 805[label="",style="solid", color="blue", weight=9]; 805 -> 324[label="",style="solid", color="blue", weight=3]; 806[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];255 -> 806[label="",style="solid", color="blue", weight=9]; 806 -> 325[label="",style="solid", color="blue", weight=3]; 807[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];255 -> 807[label="",style="solid", color="blue", weight=9]; 807 -> 326[label="",style="solid", color="blue", weight=3]; 808[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];255 -> 808[label="",style="solid", color="blue", weight=9]; 808 -> 327[label="",style="solid", color="blue", weight=3]; 809[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];255 -> 809[label="",style="solid", color="blue", weight=9]; 809 -> 328[label="",style="solid", color="blue", weight=3]; 810[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];255 -> 810[label="",style="solid", color="blue", weight=9]; 810 -> 329[label="",style="solid", color="blue", weight=3]; 234[label="xv300",fontsize=16,color="green",shape="box"];235[label="xv4000",fontsize=16,color="green",shape="box"];256[label="xv301 == xv4001",fontsize=16,color="blue",shape="box"];811[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];256 -> 811[label="",style="solid", color="blue", weight=9]; 811 -> 330[label="",style="solid", color="blue", weight=3]; 812[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];256 -> 812[label="",style="solid", color="blue", weight=9]; 812 -> 331[label="",style="solid", color="blue", weight=3]; 813[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];256 -> 813[label="",style="solid", color="blue", weight=9]; 813 -> 332[label="",style="solid", color="blue", weight=3]; 814[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];256 -> 814[label="",style="solid", color="blue", weight=9]; 814 -> 333[label="",style="solid", color="blue", weight=3]; 815[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];256 -> 815[label="",style="solid", color="blue", weight=9]; 815 -> 334[label="",style="solid", color="blue", weight=3]; 816[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];256 -> 816[label="",style="solid", color="blue", weight=9]; 816 -> 335[label="",style="solid", color="blue", weight=3]; 817[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];256 -> 817[label="",style="solid", color="blue", weight=9]; 817 -> 336[label="",style="solid", color="blue", weight=3]; 818[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];256 -> 818[label="",style="solid", color="blue", weight=9]; 818 -> 337[label="",style="solid", color="blue", weight=3]; 819[label="== :: ((@3) 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color="blue", weight=9]; 823 -> 342[label="",style="solid", color="blue", weight=3]; 824[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];256 -> 824[label="",style="solid", color="blue", weight=9]; 824 -> 343[label="",style="solid", color="blue", weight=3]; 257[label="xv300 == xv4000",fontsize=16,color="blue",shape="box"];825[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];257 -> 825[label="",style="solid", color="blue", weight=9]; 825 -> 344[label="",style="solid", color="blue", weight=3]; 826[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];257 -> 826[label="",style="solid", color="blue", weight=9]; 826 -> 345[label="",style="solid", color="blue", weight=3]; 827[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];257 -> 827[label="",style="solid", color="blue", weight=9]; 827 -> 346[label="",style="solid", color="blue", weight=3]; 828[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];257 -> 828[label="",style="solid", color="blue", weight=9]; 828 -> 347[label="",style="solid", color="blue", weight=3]; 829[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];257 -> 829[label="",style="solid", color="blue", weight=9]; 829 -> 348[label="",style="solid", color="blue", weight=3]; 830[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];257 -> 830[label="",style="solid", color="blue", weight=9]; 830 -> 349[label="",style="solid", color="blue", weight=3]; 831[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];257 -> 831[label="",style="solid", color="blue", weight=9]; 831 -> 350[label="",style="solid", color="blue", weight=3]; 832[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];257 -> 832[label="",style="solid", color="blue", weight=9]; 832 -> 351[label="",style="solid", color="blue", weight=3]; 833[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];257 -> 833[label="",style="solid", color="blue", weight=9]; 833 -> 352[label="",style="solid", color="blue", weight=3]; 834[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];257 -> 834[label="",style="solid", color="blue", weight=9]; 834 -> 353[label="",style="solid", color="blue", weight=3]; 835[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];257 -> 835[label="",style="solid", color="blue", weight=9]; 835 -> 354[label="",style="solid", color="blue", weight=3]; 836[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];257 -> 836[label="",style="solid", color="blue", weight=9]; 836 -> 355[label="",style="solid", color="blue", weight=3]; 837[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];257 -> 837[label="",style="solid", color="blue", weight=9]; 837 -> 356[label="",style="solid", color="blue", weight=3]; 838[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];257 -> 838[label="",style="solid", color="blue", weight=9]; 838 -> 357[label="",style="solid", color="blue", weight=3]; 236[label="primEqInt (Pos (Succ xv3000)) (Pos xv4000)",fontsize=16,color="burlywood",shape="box"];839[label="xv4000/Succ xv40000",fontsize=10,color="white",style="solid",shape="box"];236 -> 839[label="",style="solid", color="burlywood", weight=9]; 839 -> 358[label="",style="solid", color="burlywood", weight=3]; 840[label="xv4000/Zero",fontsize=10,color="white",style="solid",shape="box"];236 -> 840[label="",style="solid", color="burlywood", weight=9]; 840 -> 359[label="",style="solid", color="burlywood", weight=3]; 237[label="primEqInt (Pos (Succ xv3000)) 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844[label="xv4000/Zero",fontsize=10,color="white",style="solid",shape="box"];239 -> 844[label="",style="solid", color="burlywood", weight=9]; 844 -> 364[label="",style="solid", color="burlywood", weight=3]; 240[label="primEqInt (Neg (Succ xv3000)) (Pos xv4000)",fontsize=16,color="black",shape="box"];240 -> 365[label="",style="solid", color="black", weight=3]; 241[label="primEqInt (Neg (Succ xv3000)) (Neg xv4000)",fontsize=16,color="burlywood",shape="box"];845[label="xv4000/Succ xv40000",fontsize=10,color="white",style="solid",shape="box"];241 -> 845[label="",style="solid", color="burlywood", weight=9]; 845 -> 366[label="",style="solid", color="burlywood", weight=3]; 846[label="xv4000/Zero",fontsize=10,color="white",style="solid",shape="box"];241 -> 846[label="",style="solid", color="burlywood", weight=9]; 846 -> 367[label="",style="solid", color="burlywood", weight=3]; 242[label="primEqInt (Neg Zero) (Pos xv4000)",fontsize=16,color="burlywood",shape="box"];847[label="xv4000/Succ 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854[label="xv4000/Zero",fontsize=10,color="white",style="solid",shape="box"];246 -> 854[label="",style="solid", color="burlywood", weight=9]; 854 -> 377[label="",style="solid", color="burlywood", weight=3]; 262 -> 67[label="",style="dashed", color="red", weight=0]; 262[label="xv301 == xv4001",fontsize=16,color="magenta"];262 -> 378[label="",style="dashed", color="magenta", weight=3]; 262 -> 379[label="",style="dashed", color="magenta", weight=3]; 263 -> 69[label="",style="dashed", color="red", weight=0]; 263[label="xv301 == xv4001",fontsize=16,color="magenta"];263 -> 380[label="",style="dashed", color="magenta", weight=3]; 263 -> 381[label="",style="dashed", color="magenta", weight=3]; 264 -> 67[label="",style="dashed", color="red", weight=0]; 264[label="xv300 == xv4000",fontsize=16,color="magenta"];264 -> 382[label="",style="dashed", color="magenta", weight=3]; 264 -> 383[label="",style="dashed", color="magenta", weight=3]; 265 -> 69[label="",style="dashed", color="red", weight=0]; 265[label="xv300 == xv4000",fontsize=16,color="magenta"];265 -> 384[label="",style="dashed", color="magenta", weight=3]; 265 -> 385[label="",style="dashed", color="magenta", weight=3]; 266[label="False && xv23",fontsize=16,color="black",shape="box"];266 -> 386[label="",style="solid", color="black", weight=3]; 267[label="True && xv23",fontsize=16,color="black",shape="box"];267 -> 387[label="",style="solid", color="black", weight=3]; 268[label="xv300",fontsize=16,color="green",shape="box"];269[label="xv4000",fontsize=16,color="green",shape="box"];270[label="xv300",fontsize=16,color="green",shape="box"];271[label="xv4000",fontsize=16,color="green",shape="box"];272[label="xv300",fontsize=16,color="green",shape="box"];273[label="xv4000",fontsize=16,color="green",shape="box"];274[label="xv300",fontsize=16,color="green",shape="box"];275[label="xv4000",fontsize=16,color="green",shape="box"];276[label="xv300",fontsize=16,color="green",shape="box"];277[label="xv4000",fontsize=16,color="green",shape="box"];278[label="xv300",fontsize=16,color="green",shape="box"];279[label="xv4000",fontsize=16,color="green",shape="box"];280[label="xv4000",fontsize=16,color="green",shape="box"];281[label="xv300",fontsize=16,color="green",shape="box"];282[label="xv300",fontsize=16,color="green",shape="box"];283[label="xv4000",fontsize=16,color="green",shape="box"];284[label="xv300",fontsize=16,color="green",shape="box"];285[label="xv4000",fontsize=16,color="green",shape="box"];286[label="xv300",fontsize=16,color="green",shape="box"];287[label="xv4000",fontsize=16,color="green",shape="box"];288[label="xv300",fontsize=16,color="green",shape="box"];289[label="xv4000",fontsize=16,color="green",shape="box"];290[label="xv300",fontsize=16,color="green",shape="box"];291[label="xv4000",fontsize=16,color="green",shape="box"];292[label="xv300",fontsize=16,color="green",shape="box"];293[label="xv4000",fontsize=16,color="green",shape="box"];294[label="xv300",fontsize=16,color="green",shape="box"];295[label="xv4000",fontsize=16,color="green",shape="box"];296[label="xv300 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306[label="xv300 == xv4000",fontsize=16,color="magenta"];306 -> 403[label="",style="dashed", color="magenta", weight=3]; 306 -> 404[label="",style="dashed", color="magenta", weight=3]; 307 -> 64[label="",style="dashed", color="red", weight=0]; 307[label="xv300 == xv4000",fontsize=16,color="magenta"];307 -> 405[label="",style="dashed", color="magenta", weight=3]; 307 -> 406[label="",style="dashed", color="magenta", weight=3]; 308 -> 65[label="",style="dashed", color="red", weight=0]; 308[label="xv300 == xv4000",fontsize=16,color="magenta"];308 -> 407[label="",style="dashed", color="magenta", weight=3]; 308 -> 408[label="",style="dashed", color="magenta", weight=3]; 309 -> 66[label="",style="dashed", color="red", weight=0]; 309[label="xv300 == xv4000",fontsize=16,color="magenta"];309 -> 409[label="",style="dashed", color="magenta", weight=3]; 309 -> 410[label="",style="dashed", color="magenta", weight=3]; 310 -> 67[label="",style="dashed", color="red", weight=0]; 310[label="xv300 == 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423[label="",style="solid", color="blue", weight=3]; 860[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];314 -> 860[label="",style="solid", color="blue", weight=9]; 860 -> 424[label="",style="solid", color="blue", weight=3]; 861[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];314 -> 861[label="",style="solid", color="blue", weight=9]; 861 -> 425[label="",style="solid", color="blue", weight=3]; 862[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];314 -> 862[label="",style="solid", color="blue", weight=9]; 862 -> 426[label="",style="solid", color="blue", weight=3]; 863[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];314 -> 863[label="",style="solid", color="blue", weight=9]; 863 -> 427[label="",style="solid", color="blue", weight=3]; 864[label="== :: Ordering -> Ordering -> 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432[label="",style="solid", color="blue", weight=3]; 315[label="xv301 == xv4001",fontsize=16,color="blue",shape="box"];869[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];315 -> 869[label="",style="solid", color="blue", weight=9]; 869 -> 433[label="",style="solid", color="blue", weight=3]; 870[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];315 -> 870[label="",style="solid", color="blue", weight=9]; 870 -> 434[label="",style="solid", color="blue", weight=3]; 871[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];315 -> 871[label="",style="solid", color="blue", weight=9]; 871 -> 435[label="",style="solid", color="blue", weight=3]; 872[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];315 -> 872[label="",style="solid", color="blue", weight=9]; 872 -> 436[label="",style="solid", color="blue", weight=3]; 873[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];315 -> 873[label="",style="solid", color="blue", weight=9]; 873 -> 437[label="",style="solid", color="blue", weight=3]; 874[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];315 -> 874[label="",style="solid", color="blue", weight=9]; 874 -> 438[label="",style="solid", color="blue", weight=3]; 875[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];315 -> 875[label="",style="solid", color="blue", weight=9]; 875 -> 439[label="",style="solid", color="blue", weight=3]; 876[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];315 -> 876[label="",style="solid", color="blue", weight=9]; 876 -> 440[label="",style="solid", color="blue", weight=3]; 877[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];315 -> 877[label="",style="solid", color="blue", weight=9]; 877 -> 441[label="",style="solid", color="blue", weight=3]; 878[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];315 -> 878[label="",style="solid", color="blue", weight=9]; 878 -> 442[label="",style="solid", color="blue", weight=3]; 879[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];315 -> 879[label="",style="solid", color="blue", weight=9]; 879 -> 443[label="",style="solid", color="blue", weight=3]; 880[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];315 -> 880[label="",style="solid", color="blue", weight=9]; 880 -> 444[label="",style="solid", color="blue", weight=3]; 881[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];315 -> 881[label="",style="solid", color="blue", weight=9]; 881 -> 445[label="",style="solid", color="blue", weight=3]; 882[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];315 -> 882[label="",style="solid", color="blue", weight=9]; 882 -> 446[label="",style="solid", color="blue", weight=3]; 316 -> 57[label="",style="dashed", color="red", weight=0]; 316[label="xv300 == xv4000",fontsize=16,color="magenta"];316 -> 447[label="",style="dashed", color="magenta", weight=3]; 316 -> 448[label="",style="dashed", color="magenta", weight=3]; 317 -> 58[label="",style="dashed", color="red", weight=0]; 317[label="xv300 == xv4000",fontsize=16,color="magenta"];317 -> 449[label="",style="dashed", color="magenta", weight=3]; 317 -> 450[label="",style="dashed", color="magenta", weight=3]; 318 -> 59[label="",style="dashed", color="red", weight=0]; 318[label="xv300 == xv4000",fontsize=16,color="magenta"];318 -> 451[label="",style="dashed", color="magenta", weight=3]; 318 -> 452[label="",style="dashed", color="magenta", weight=3]; 319 -> 60[label="",style="dashed", color="red", weight=0]; 319[label="xv300 == xv4000",fontsize=16,color="magenta"];319 -> 453[label="",style="dashed", color="magenta", weight=3]; 319 -> 454[label="",style="dashed", color="magenta", weight=3]; 320 -> 61[label="",style="dashed", color="red", weight=0]; 320[label="xv300 == xv4000",fontsize=16,color="magenta"];320 -> 455[label="",style="dashed", color="magenta", weight=3]; 320 -> 456[label="",style="dashed", color="magenta", weight=3]; 321 -> 62[label="",style="dashed", color="red", weight=0]; 321[label="xv300 == xv4000",fontsize=16,color="magenta"];321 -> 457[label="",style="dashed", color="magenta", weight=3]; 321 -> 458[label="",style="dashed", color="magenta", weight=3]; 322 -> 30[label="",style="dashed", color="red", weight=0]; 322[label="xv300 == xv4000",fontsize=16,color="magenta"];322 -> 459[label="",style="dashed", color="magenta", weight=3]; 322 -> 460[label="",style="dashed", color="magenta", weight=3]; 323 -> 64[label="",style="dashed", color="red", weight=0]; 323[label="xv300 == 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xv4001",fontsize=16,color="magenta"];331 -> 477[label="",style="dashed", color="magenta", weight=3]; 331 -> 478[label="",style="dashed", color="magenta", weight=3]; 332 -> 59[label="",style="dashed", color="red", weight=0]; 332[label="xv301 == xv4001",fontsize=16,color="magenta"];332 -> 479[label="",style="dashed", color="magenta", weight=3]; 332 -> 480[label="",style="dashed", color="magenta", weight=3]; 333 -> 60[label="",style="dashed", color="red", weight=0]; 333[label="xv301 == xv4001",fontsize=16,color="magenta"];333 -> 481[label="",style="dashed", color="magenta", weight=3]; 333 -> 482[label="",style="dashed", color="magenta", weight=3]; 334 -> 61[label="",style="dashed", color="red", weight=0]; 334[label="xv301 == xv4001",fontsize=16,color="magenta"];334 -> 483[label="",style="dashed", color="magenta", weight=3]; 334 -> 484[label="",style="dashed", color="magenta", weight=3]; 335 -> 62[label="",style="dashed", color="red", weight=0]; 335[label="xv301 == xv4001",fontsize=16,color="magenta"];335 -> 485[label="",style="dashed", color="magenta", weight=3]; 335 -> 486[label="",style="dashed", color="magenta", weight=3]; 336 -> 30[label="",style="dashed", color="red", weight=0]; 336[label="xv301 == xv4001",fontsize=16,color="magenta"];336 -> 487[label="",style="dashed", color="magenta", weight=3]; 336 -> 488[label="",style="dashed", color="magenta", weight=3]; 337 -> 64[label="",style="dashed", color="red", weight=0]; 337[label="xv301 == xv4001",fontsize=16,color="magenta"];337 -> 489[label="",style="dashed", color="magenta", weight=3]; 337 -> 490[label="",style="dashed", color="magenta", weight=3]; 338 -> 65[label="",style="dashed", color="red", weight=0]; 338[label="xv301 == xv4001",fontsize=16,color="magenta"];338 -> 491[label="",style="dashed", color="magenta", weight=3]; 338 -> 492[label="",style="dashed", color="magenta", weight=3]; 339 -> 66[label="",style="dashed", color="red", weight=0]; 339[label="xv301 == xv4001",fontsize=16,color="magenta"];339 -> 493[label="",style="dashed", color="magenta", weight=3]; 339 -> 494[label="",style="dashed", color="magenta", weight=3]; 340 -> 67[label="",style="dashed", color="red", weight=0]; 340[label="xv301 == xv4001",fontsize=16,color="magenta"];340 -> 495[label="",style="dashed", color="magenta", weight=3]; 340 -> 496[label="",style="dashed", color="magenta", weight=3]; 341 -> 68[label="",style="dashed", color="red", weight=0]; 341[label="xv301 == xv4001",fontsize=16,color="magenta"];341 -> 497[label="",style="dashed", color="magenta", weight=3]; 341 -> 498[label="",style="dashed", color="magenta", weight=3]; 342 -> 69[label="",style="dashed", color="red", weight=0]; 342[label="xv301 == xv4001",fontsize=16,color="magenta"];342 -> 499[label="",style="dashed", color="magenta", weight=3]; 342 -> 500[label="",style="dashed", color="magenta", weight=3]; 343 -> 70[label="",style="dashed", color="red", weight=0]; 343[label="xv301 == xv4001",fontsize=16,color="magenta"];343 -> 501[label="",style="dashed", color="magenta", weight=3]; 343 -> 502[label="",style="dashed", color="magenta", weight=3]; 344 -> 57[label="",style="dashed", color="red", weight=0]; 344[label="xv300 == xv4000",fontsize=16,color="magenta"];344 -> 503[label="",style="dashed", color="magenta", weight=3]; 344 -> 504[label="",style="dashed", color="magenta", weight=3]; 345 -> 58[label="",style="dashed", color="red", weight=0]; 345[label="xv300 == xv4000",fontsize=16,color="magenta"];345 -> 505[label="",style="dashed", color="magenta", weight=3]; 345 -> 506[label="",style="dashed", color="magenta", weight=3]; 346 -> 59[label="",style="dashed", color="red", weight=0]; 346[label="xv300 == xv4000",fontsize=16,color="magenta"];346 -> 507[label="",style="dashed", color="magenta", weight=3]; 346 -> 508[label="",style="dashed", color="magenta", weight=3]; 347 -> 60[label="",style="dashed", color="red", weight=0]; 347[label="xv300 == xv4000",fontsize=16,color="magenta"];347 -> 509[label="",style="dashed", color="magenta", weight=3]; 347 -> 510[label="",style="dashed", color="magenta", weight=3]; 348 -> 61[label="",style="dashed", color="red", weight=0]; 348[label="xv300 == xv4000",fontsize=16,color="magenta"];348 -> 511[label="",style="dashed", color="magenta", weight=3]; 348 -> 512[label="",style="dashed", color="magenta", weight=3]; 349 -> 62[label="",style="dashed", color="red", weight=0]; 349[label="xv300 == xv4000",fontsize=16,color="magenta"];349 -> 513[label="",style="dashed", color="magenta", weight=3]; 349 -> 514[label="",style="dashed", color="magenta", weight=3]; 350 -> 30[label="",style="dashed", color="red", weight=0]; 350[label="xv300 == xv4000",fontsize=16,color="magenta"];350 -> 515[label="",style="dashed", color="magenta", weight=3]; 350 -> 516[label="",style="dashed", color="magenta", weight=3]; 351 -> 64[label="",style="dashed", color="red", weight=0]; 351[label="xv300 == xv4000",fontsize=16,color="magenta"];351 -> 517[label="",style="dashed", color="magenta", weight=3]; 351 -> 518[label="",style="dashed", color="magenta", weight=3]; 352 -> 65[label="",style="dashed", color="red", weight=0]; 352[label="xv300 == xv4000",fontsize=16,color="magenta"];352 -> 519[label="",style="dashed", color="magenta", weight=3]; 352 -> 520[label="",style="dashed", color="magenta", weight=3]; 353 -> 66[label="",style="dashed", color="red", weight=0]; 353[label="xv300 == xv4000",fontsize=16,color="magenta"];353 -> 521[label="",style="dashed", color="magenta", weight=3]; 353 -> 522[label="",style="dashed", color="magenta", weight=3]; 354 -> 67[label="",style="dashed", color="red", weight=0]; 354[label="xv300 == xv4000",fontsize=16,color="magenta"];354 -> 523[label="",style="dashed", color="magenta", weight=3]; 354 -> 524[label="",style="dashed", color="magenta", weight=3]; 355 -> 68[label="",style="dashed", color="red", weight=0]; 355[label="xv300 == xv4000",fontsize=16,color="magenta"];355 -> 525[label="",style="dashed", color="magenta", weight=3]; 355 -> 526[label="",style="dashed", color="magenta", weight=3]; 356 -> 69[label="",style="dashed", color="red", weight=0]; 356[label="xv300 == xv4000",fontsize=16,color="magenta"];356 -> 527[label="",style="dashed", color="magenta", weight=3]; 356 -> 528[label="",style="dashed", color="magenta", weight=3]; 357 -> 70[label="",style="dashed", color="red", weight=0]; 357[label="xv300 == xv4000",fontsize=16,color="magenta"];357 -> 529[label="",style="dashed", color="magenta", weight=3]; 357 -> 530[label="",style="dashed", color="magenta", weight=3]; 358[label="primEqInt (Pos (Succ xv3000)) (Pos (Succ xv40000))",fontsize=16,color="black",shape="box"];358 -> 531[label="",style="solid", color="black", weight=3]; 359[label="primEqInt (Pos (Succ xv3000)) (Pos Zero)",fontsize=16,color="black",shape="box"];359 -> 532[label="",style="solid", color="black", weight=3]; 360[label="False",fontsize=16,color="green",shape="box"];361[label="primEqInt (Pos Zero) (Pos (Succ xv40000))",fontsize=16,color="black",shape="box"];361 -> 533[label="",style="solid", color="black", weight=3]; 362[label="primEqInt (Pos Zero) (Pos Zero)",fontsize=16,color="black",shape="box"];362 -> 534[label="",style="solid", color="black", weight=3]; 363[label="primEqInt (Pos Zero) (Neg (Succ xv40000))",fontsize=16,color="black",shape="box"];363 -> 535[label="",style="solid", color="black", weight=3]; 364[label="primEqInt (Pos Zero) (Neg Zero)",fontsize=16,color="black",shape="box"];364 -> 536[label="",style="solid", color="black", weight=3]; 365[label="False",fontsize=16,color="green",shape="box"];366[label="primEqInt (Neg (Succ xv3000)) (Neg (Succ xv40000))",fontsize=16,color="black",shape="box"];366 -> 537[label="",style="solid", color="black", weight=3]; 367[label="primEqInt (Neg (Succ xv3000)) (Neg Zero)",fontsize=16,color="black",shape="box"];367 -> 538[label="",style="solid", color="black", weight=3]; 368[label="primEqInt (Neg Zero) (Pos (Succ xv40000))",fontsize=16,color="black",shape="box"];368 -> 539[label="",style="solid", color="black", weight=3]; 369[label="primEqInt (Neg Zero) (Pos Zero)",fontsize=16,color="black",shape="box"];369 -> 540[label="",style="solid", color="black", weight=3]; 370[label="primEqInt (Neg Zero) (Neg (Succ xv40000))",fontsize=16,color="black",shape="box"];370 -> 541[label="",style="solid", color="black", weight=3]; 371[label="primEqInt (Neg Zero) (Neg Zero)",fontsize=16,color="black",shape="box"];371 -> 542[label="",style="solid", color="black", weight=3]; 372 -> 296[label="",style="dashed", color="red", weight=0]; 372[label="xv300 * xv4001",fontsize=16,color="magenta"];372 -> 543[label="",style="dashed", color="magenta", weight=3]; 372 -> 544[label="",style="dashed", color="magenta", weight=3]; 373 -> 296[label="",style="dashed", color="red", weight=0]; 373[label="xv301 * xv4000",fontsize=16,color="magenta"];373 -> 545[label="",style="dashed", color="magenta", weight=3]; 373 -> 546[label="",style="dashed", color="magenta", weight=3]; 374[label="primEqNat (Succ xv3000) (Succ xv40000)",fontsize=16,color="black",shape="box"];374 -> 547[label="",style="solid", color="black", weight=3]; 375[label="primEqNat (Succ xv3000) Zero",fontsize=16,color="black",shape="box"];375 -> 548[label="",style="solid", color="black", weight=3]; 376[label="primEqNat Zero (Succ xv40000)",fontsize=16,color="black",shape="box"];376 -> 549[label="",style="solid", color="black", weight=3]; 377[label="primEqNat Zero Zero",fontsize=16,color="black",shape="box"];377 -> 550[label="",style="solid", color="black", weight=3]; 378[label="xv301",fontsize=16,color="green",shape="box"];379[label="xv4001",fontsize=16,color="green",shape="box"];380[label="xv301",fontsize=16,color="green",shape="box"];381[label="xv4001",fontsize=16,color="green",shape="box"];382[label="xv300",fontsize=16,color="green",shape="box"];383[label="xv4000",fontsize=16,color="green",shape="box"];384[label="xv300",fontsize=16,color="green",shape="box"];385[label="xv4000",fontsize=16,color="green",shape="box"];386[label="False",fontsize=16,color="green",shape="box"];387[label="xv23",fontsize=16,color="green",shape="box"];388[label="primMulInt xv300 xv4001",fontsize=16,color="burlywood",shape="box"];883[label="xv300/Pos xv3000",fontsize=10,color="white",style="solid",shape="box"];388 -> 883[label="",style="solid", color="burlywood", weight=9]; 883 -> 551[label="",style="solid", color="burlywood", weight=3]; 884[label="xv300/Neg xv3000",fontsize=10,color="white",style="solid",shape="box"];388 -> 884[label="",style="solid", color="burlywood", weight=9]; 884 -> 552[label="",style="solid", color="burlywood", weight=3]; 389[label="xv301",fontsize=16,color="green",shape="box"];390[label="xv4000",fontsize=16,color="green",shape="box"];391[label="xv300",fontsize=16,color="green",shape="box"];392[label="xv4000",fontsize=16,color="green",shape="box"];393[label="xv300",fontsize=16,color="green",shape="box"];394[label="xv4000",fontsize=16,color="green",shape="box"];395[label="xv300",fontsize=16,color="green",shape="box"];396[label="xv4000",fontsize=16,color="green",shape="box"];397[label="xv300",fontsize=16,color="green",shape="box"];398[label="xv4000",fontsize=16,color="green",shape="box"];399[label="xv300",fontsize=16,color="green",shape="box"];400[label="xv4000",fontsize=16,color="green",shape="box"];401[label="xv300",fontsize=16,color="green",shape="box"];402[label="xv4000",fontsize=16,color="green",shape="box"];403[label="xv4000",fontsize=16,color="green",shape="box"];404[label="xv300",fontsize=16,color="green",shape="box"];405[label="xv300",fontsize=16,color="green",shape="box"];406[label="xv4000",fontsize=16,color="green",shape="box"];407[label="xv300",fontsize=16,color="green",shape="box"];408[label="xv4000",fontsize=16,color="green",shape="box"];409[label="xv300",fontsize=16,color="green",shape="box"];410[label="xv4000",fontsize=16,color="green",shape="box"];411[label="xv300",fontsize=16,color="green",shape="box"];412[label="xv4000",fontsize=16,color="green",shape="box"];413[label="xv300",fontsize=16,color="green",shape="box"];414[label="xv4000",fontsize=16,color="green",shape="box"];415[label="xv300",fontsize=16,color="green",shape="box"];416[label="xv4000",fontsize=16,color="green",shape="box"];417[label="xv300",fontsize=16,color="green",shape="box"];418[label="xv4000",fontsize=16,color="green",shape="box"];419 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61[label="",style="dashed", color="red", weight=0]; 423[label="xv302 == xv4002",fontsize=16,color="magenta"];423 -> 561[label="",style="dashed", color="magenta", weight=3]; 423 -> 562[label="",style="dashed", color="magenta", weight=3]; 424 -> 62[label="",style="dashed", color="red", weight=0]; 424[label="xv302 == xv4002",fontsize=16,color="magenta"];424 -> 563[label="",style="dashed", color="magenta", weight=3]; 424 -> 564[label="",style="dashed", color="magenta", weight=3]; 425 -> 30[label="",style="dashed", color="red", weight=0]; 425[label="xv302 == xv4002",fontsize=16,color="magenta"];425 -> 565[label="",style="dashed", color="magenta", weight=3]; 425 -> 566[label="",style="dashed", color="magenta", weight=3]; 426 -> 64[label="",style="dashed", color="red", weight=0]; 426[label="xv302 == xv4002",fontsize=16,color="magenta"];426 -> 567[label="",style="dashed", color="magenta", weight=3]; 426 -> 568[label="",style="dashed", color="magenta", weight=3]; 427 -> 65[label="",style="dashed", color="red", weight=0]; 427[label="xv302 == xv4002",fontsize=16,color="magenta"];427 -> 569[label="",style="dashed", color="magenta", weight=3]; 427 -> 570[label="",style="dashed", color="magenta", weight=3]; 428 -> 66[label="",style="dashed", color="red", weight=0]; 428[label="xv302 == xv4002",fontsize=16,color="magenta"];428 -> 571[label="",style="dashed", color="magenta", weight=3]; 428 -> 572[label="",style="dashed", color="magenta", weight=3]; 429 -> 67[label="",style="dashed", color="red", weight=0]; 429[label="xv302 == xv4002",fontsize=16,color="magenta"];429 -> 573[label="",style="dashed", color="magenta", weight=3]; 429 -> 574[label="",style="dashed", color="magenta", weight=3]; 430 -> 68[label="",style="dashed", color="red", weight=0]; 430[label="xv302 == xv4002",fontsize=16,color="magenta"];430 -> 575[label="",style="dashed", color="magenta", weight=3]; 430 -> 576[label="",style="dashed", color="magenta", weight=3]; 431 -> 69[label="",style="dashed", color="red", weight=0]; 431[label="xv302 == xv4002",fontsize=16,color="magenta"];431 -> 577[label="",style="dashed", color="magenta", weight=3]; 431 -> 578[label="",style="dashed", color="magenta", weight=3]; 432 -> 70[label="",style="dashed", color="red", weight=0]; 432[label="xv302 == xv4002",fontsize=16,color="magenta"];432 -> 579[label="",style="dashed", color="magenta", weight=3]; 432 -> 580[label="",style="dashed", color="magenta", weight=3]; 433 -> 57[label="",style="dashed", color="red", weight=0]; 433[label="xv301 == xv4001",fontsize=16,color="magenta"];433 -> 581[label="",style="dashed", color="magenta", weight=3]; 433 -> 582[label="",style="dashed", color="magenta", weight=3]; 434 -> 58[label="",style="dashed", color="red", weight=0]; 434[label="xv301 == xv4001",fontsize=16,color="magenta"];434 -> 583[label="",style="dashed", color="magenta", weight=3]; 434 -> 584[label="",style="dashed", color="magenta", weight=3]; 435 -> 59[label="",style="dashed", color="red", weight=0]; 435[label="xv301 == xv4001",fontsize=16,color="magenta"];435 -> 585[label="",style="dashed", color="magenta", weight=3]; 435 -> 586[label="",style="dashed", color="magenta", weight=3]; 436 -> 60[label="",style="dashed", color="red", weight=0]; 436[label="xv301 == xv4001",fontsize=16,color="magenta"];436 -> 587[label="",style="dashed", color="magenta", weight=3]; 436 -> 588[label="",style="dashed", color="magenta", weight=3]; 437 -> 61[label="",style="dashed", color="red", weight=0]; 437[label="xv301 == xv4001",fontsize=16,color="magenta"];437 -> 589[label="",style="dashed", color="magenta", weight=3]; 437 -> 590[label="",style="dashed", color="magenta", weight=3]; 438 -> 62[label="",style="dashed", color="red", weight=0]; 438[label="xv301 == xv4001",fontsize=16,color="magenta"];438 -> 591[label="",style="dashed", color="magenta", weight=3]; 438 -> 592[label="",style="dashed", color="magenta", weight=3]; 439 -> 30[label="",style="dashed", color="red", weight=0]; 439[label="xv301 == xv4001",fontsize=16,color="magenta"];439 -> 593[label="",style="dashed", color="magenta", weight=3]; 439 -> 594[label="",style="dashed", color="magenta", weight=3]; 440 -> 64[label="",style="dashed", color="red", weight=0]; 440[label="xv301 == xv4001",fontsize=16,color="magenta"];440 -> 595[label="",style="dashed", color="magenta", weight=3]; 440 -> 596[label="",style="dashed", color="magenta", weight=3]; 441 -> 65[label="",style="dashed", color="red", weight=0]; 441[label="xv301 == xv4001",fontsize=16,color="magenta"];441 -> 597[label="",style="dashed", color="magenta", weight=3]; 441 -> 598[label="",style="dashed", color="magenta", weight=3]; 442 -> 66[label="",style="dashed", color="red", weight=0]; 442[label="xv301 == xv4001",fontsize=16,color="magenta"];442 -> 599[label="",style="dashed", color="magenta", weight=3]; 442 -> 600[label="",style="dashed", color="magenta", weight=3]; 443 -> 67[label="",style="dashed", color="red", weight=0]; 443[label="xv301 == xv4001",fontsize=16,color="magenta"];443 -> 601[label="",style="dashed", color="magenta", weight=3]; 443 -> 602[label="",style="dashed", color="magenta", weight=3]; 444 -> 68[label="",style="dashed", color="red", weight=0]; 444[label="xv301 == xv4001",fontsize=16,color="magenta"];444 -> 603[label="",style="dashed", color="magenta", weight=3]; 444 -> 604[label="",style="dashed", color="magenta", weight=3]; 445 -> 69[label="",style="dashed", color="red", weight=0]; 445[label="xv301 == xv4001",fontsize=16,color="magenta"];445 -> 605[label="",style="dashed", color="magenta", weight=3]; 445 -> 606[label="",style="dashed", color="magenta", weight=3]; 446 -> 70[label="",style="dashed", color="red", weight=0]; 446[label="xv301 == xv4001",fontsize=16,color="magenta"];446 -> 607[label="",style="dashed", color="magenta", weight=3]; 446 -> 608[label="",style="dashed", color="magenta", weight=3]; 447[label="xv300",fontsize=16,color="green",shape="box"];448[label="xv4000",fontsize=16,color="green",shape="box"];449[label="xv300",fontsize=16,color="green",shape="box"];450[label="xv4000",fontsize=16,color="green",shape="box"];451[label="xv300",fontsize=16,color="green",shape="box"];452[label="xv4000",fontsize=16,color="green",shape="box"];453[label="xv300",fontsize=16,color="green",shape="box"];454[label="xv4000",fontsize=16,color="green",shape="box"];455[label="xv300",fontsize=16,color="green",shape="box"];456[label="xv4000",fontsize=16,color="green",shape="box"];457[label="xv300",fontsize=16,color="green",shape="box"];458[label="xv4000",fontsize=16,color="green",shape="box"];459[label="xv4000",fontsize=16,color="green",shape="box"];460[label="xv300",fontsize=16,color="green",shape="box"];461[label="xv300",fontsize=16,color="green",shape="box"];462[label="xv4000",fontsize=16,color="green",shape="box"];463[label="xv300",fontsize=16,color="green",shape="box"];464[label="xv4000",fontsize=16,color="green",shape="box"];465[label="xv300",fontsize=16,color="green",shape="box"];466[label="xv4000",fontsize=16,color="green",shape="box"];467[label="xv300",fontsize=16,color="green",shape="box"];468[label="xv4000",fontsize=16,color="green",shape="box"];469[label="xv300",fontsize=16,color="green",shape="box"];470[label="xv4000",fontsize=16,color="green",shape="box"];471[label="xv300",fontsize=16,color="green",shape="box"];472[label="xv4000",fontsize=16,color="green",shape="box"];473[label="xv300",fontsize=16,color="green",shape="box"];474[label="xv4000",fontsize=16,color="green",shape="box"];475[label="xv301",fontsize=16,color="green",shape="box"];476[label="xv4001",fontsize=16,color="green",shape="box"];477[label="xv301",fontsize=16,color="green",shape="box"];478[label="xv4001",fontsize=16,color="green",shape="box"];479[label="xv301",fontsize=16,color="green",shape="box"];480[label="xv4001",fontsize=16,color="green",shape="box"];481[label="xv301",fontsize=16,color="green",shape="box"];482[label="xv4001",fontsize=16,color="green",shape="box"];483[label="xv301",fontsize=16,color="green",shape="box"];484[label="xv4001",fontsize=16,color="green",shape="box"];485[label="xv301",fontsize=16,color="green",shape="box"];486[label="xv4001",fontsize=16,color="green",shape="box"];487[label="xv4001",fontsize=16,color="green",shape="box"];488[label="xv301",fontsize=16,color="green",shape="box"];489[label="xv301",fontsize=16,color="green",shape="box"];490[label="xv4001",fontsize=16,color="green",shape="box"];491[label="xv301",fontsize=16,color="green",shape="box"];492[label="xv4001",fontsize=16,color="green",shape="box"];493[label="xv301",fontsize=16,color="green",shape="box"];494[label="xv4001",fontsize=16,color="green",shape="box"];495[label="xv301",fontsize=16,color="green",shape="box"];496[label="xv4001",fontsize=16,color="green",shape="box"];497[label="xv301",fontsize=16,color="green",shape="box"];498[label="xv4001",fontsize=16,color="green",shape="box"];499[label="xv301",fontsize=16,color="green",shape="box"];500[label="xv4001",fontsize=16,color="green",shape="box"];501[label="xv301",fontsize=16,color="green",shape="box"];502[label="xv4001",fontsize=16,color="green",shape="box"];503[label="xv300",fontsize=16,color="green",shape="box"];504[label="xv4000",fontsize=16,color="green",shape="box"];505[label="xv300",fontsize=16,color="green",shape="box"];506[label="xv4000",fontsize=16,color="green",shape="box"];507[label="xv300",fontsize=16,color="green",shape="box"];508[label="xv4000",fontsize=16,color="green",shape="box"];509[label="xv300",fontsize=16,color="green",shape="box"];510[label="xv4000",fontsize=16,color="green",shape="box"];511[label="xv300",fontsize=16,color="green",shape="box"];512[label="xv4000",fontsize=16,color="green",shape="box"];513[label="xv300",fontsize=16,color="green",shape="box"];514[label="xv4000",fontsize=16,color="green",shape="box"];515[label="xv4000",fontsize=16,color="green",shape="box"];516[label="xv300",fontsize=16,color="green",shape="box"];517[label="xv300",fontsize=16,color="green",shape="box"];518[label="xv4000",fontsize=16,color="green",shape="box"];519[label="xv300",fontsize=16,color="green",shape="box"];520[label="xv4000",fontsize=16,color="green",shape="box"];521[label="xv300",fontsize=16,color="green",shape="box"];522[label="xv4000",fontsize=16,color="green",shape="box"];523[label="xv300",fontsize=16,color="green",shape="box"];524[label="xv4000",fontsize=16,color="green",shape="box"];525[label="xv300",fontsize=16,color="green",shape="box"];526[label="xv4000",fontsize=16,color="green",shape="box"];527[label="xv300",fontsize=16,color="green",shape="box"];528[label="xv4000",fontsize=16,color="green",shape="box"];529[label="xv300",fontsize=16,color="green",shape="box"];530[label="xv4000",fontsize=16,color="green",shape="box"];531 -> 197[label="",style="dashed", color="red", weight=0]; 531[label="primEqNat xv3000 xv40000",fontsize=16,color="magenta"];531 -> 609[label="",style="dashed", color="magenta", weight=3]; 531 -> 610[label="",style="dashed", color="magenta", weight=3]; 532[label="False",fontsize=16,color="green",shape="box"];533[label="False",fontsize=16,color="green",shape="box"];534[label="True",fontsize=16,color="green",shape="box"];535[label="False",fontsize=16,color="green",shape="box"];536[label="True",fontsize=16,color="green",shape="box"];537 -> 197[label="",style="dashed", color="red", weight=0]; 537[label="primEqNat xv3000 xv40000",fontsize=16,color="magenta"];537 -> 611[label="",style="dashed", color="magenta", weight=3]; 537 -> 612[label="",style="dashed", color="magenta", weight=3]; 538[label="False",fontsize=16,color="green",shape="box"];539[label="False",fontsize=16,color="green",shape="box"];540[label="True",fontsize=16,color="green",shape="box"];541[label="False",fontsize=16,color="green",shape="box"];542[label="True",fontsize=16,color="green",shape="box"];543[label="xv300",fontsize=16,color="green",shape="box"];544[label="xv4001",fontsize=16,color="green",shape="box"];545[label="xv301",fontsize=16,color="green",shape="box"];546[label="xv4000",fontsize=16,color="green",shape="box"];547 -> 197[label="",style="dashed", color="red", weight=0]; 547[label="primEqNat xv3000 xv40000",fontsize=16,color="magenta"];547 -> 613[label="",style="dashed", color="magenta", weight=3]; 547 -> 614[label="",style="dashed", color="magenta", weight=3]; 548[label="False",fontsize=16,color="green",shape="box"];549[label="False",fontsize=16,color="green",shape="box"];550[label="True",fontsize=16,color="green",shape="box"];551[label="primMulInt (Pos xv3000) xv4001",fontsize=16,color="burlywood",shape="box"];885[label="xv4001/Pos xv40010",fontsize=10,color="white",style="solid",shape="box"];551 -> 885[label="",style="solid", color="burlywood", weight=9]; 885 -> 615[label="",style="solid", color="burlywood", weight=3]; 886[label="xv4001/Neg xv40010",fontsize=10,color="white",style="solid",shape="box"];551 -> 886[label="",style="solid", color="burlywood", weight=9]; 886 -> 616[label="",style="solid", color="burlywood", weight=3]; 552[label="primMulInt (Neg xv3000) xv4001",fontsize=16,color="burlywood",shape="box"];887[label="xv4001/Pos xv40010",fontsize=10,color="white",style="solid",shape="box"];552 -> 887[label="",style="solid", color="burlywood", weight=9]; 887 -> 617[label="",style="solid", color="burlywood", weight=3]; 888[label="xv4001/Neg xv40010",fontsize=10,color="white",style="solid",shape="box"];552 -> 888[label="",style="solid", color="burlywood", weight=9]; 888 -> 618[label="",style="solid", color="burlywood", weight=3]; 553[label="xv302",fontsize=16,color="green",shape="box"];554[label="xv4002",fontsize=16,color="green",shape="box"];555[label="xv302",fontsize=16,color="green",shape="box"];556[label="xv4002",fontsize=16,color="green",shape="box"];557[label="xv302",fontsize=16,color="green",shape="box"];558[label="xv4002",fontsize=16,color="green",shape="box"];559[label="xv302",fontsize=16,color="green",shape="box"];560[label="xv4002",fontsize=16,color="green",shape="box"];561[label="xv302",fontsize=16,color="green",shape="box"];562[label="xv4002",fontsize=16,color="green",shape="box"];563[label="xv302",fontsize=16,color="green",shape="box"];564[label="xv4002",fontsize=16,color="green",shape="box"];565[label="xv4002",fontsize=16,color="green",shape="box"];566[label="xv302",fontsize=16,color="green",shape="box"];567[label="xv302",fontsize=16,color="green",shape="box"];568[label="xv4002",fontsize=16,color="green",shape="box"];569[label="xv302",fontsize=16,color="green",shape="box"];570[label="xv4002",fontsize=16,color="green",shape="box"];571[label="xv302",fontsize=16,color="green",shape="box"];572[label="xv4002",fontsize=16,color="green",shape="box"];573[label="xv302",fontsize=16,color="green",shape="box"];574[label="xv4002",fontsize=16,color="green",shape="box"];575[label="xv302",fontsize=16,color="green",shape="box"];576[label="xv4002",fontsize=16,color="green",shape="box"];577[label="xv302",fontsize=16,color="green",shape="box"];578[label="xv4002",fontsize=16,color="green",shape="box"];579[label="xv302",fontsize=16,color="green",shape="box"];580[label="xv4002",fontsize=16,color="green",shape="box"];581[label="xv301",fontsize=16,color="green",shape="box"];582[label="xv4001",fontsize=16,color="green",shape="box"];583[label="xv301",fontsize=16,color="green",shape="box"];584[label="xv4001",fontsize=16,color="green",shape="box"];585[label="xv301",fontsize=16,color="green",shape="box"];586[label="xv4001",fontsize=16,color="green",shape="box"];587[label="xv301",fontsize=16,color="green",shape="box"];588[label="xv4001",fontsize=16,color="green",shape="box"];589[label="xv301",fontsize=16,color="green",shape="box"];590[label="xv4001",fontsize=16,color="green",shape="box"];591[label="xv301",fontsize=16,color="green",shape="box"];592[label="xv4001",fontsize=16,color="green",shape="box"];593[label="xv4001",fontsize=16,color="green",shape="box"];594[label="xv301",fontsize=16,color="green",shape="box"];595[label="xv301",fontsize=16,color="green",shape="box"];596[label="xv4001",fontsize=16,color="green",shape="box"];597[label="xv301",fontsize=16,color="green",shape="box"];598[label="xv4001",fontsize=16,color="green",shape="box"];599[label="xv301",fontsize=16,color="green",shape="box"];600[label="xv4001",fontsize=16,color="green",shape="box"];601[label="xv301",fontsize=16,color="green",shape="box"];602[label="xv4001",fontsize=16,color="green",shape="box"];603[label="xv301",fontsize=16,color="green",shape="box"];604[label="xv4001",fontsize=16,color="green",shape="box"];605[label="xv301",fontsize=16,color="green",shape="box"];606[label="xv4001",fontsize=16,color="green",shape="box"];607[label="xv301",fontsize=16,color="green",shape="box"];608[label="xv4001",fontsize=16,color="green",shape="box"];609[label="xv3000",fontsize=16,color="green",shape="box"];610[label="xv40000",fontsize=16,color="green",shape="box"];611[label="xv3000",fontsize=16,color="green",shape="box"];612[label="xv40000",fontsize=16,color="green",shape="box"];613[label="xv3000",fontsize=16,color="green",shape="box"];614[label="xv40000",fontsize=16,color="green",shape="box"];615[label="primMulInt (Pos xv3000) (Pos xv40010)",fontsize=16,color="black",shape="box"];615 -> 619[label="",style="solid", color="black", weight=3]; 616[label="primMulInt (Pos xv3000) (Neg xv40010)",fontsize=16,color="black",shape="box"];616 -> 620[label="",style="solid", color="black", weight=3]; 617[label="primMulInt (Neg xv3000) (Pos xv40010)",fontsize=16,color="black",shape="box"];617 -> 621[label="",style="solid", color="black", weight=3]; 618[label="primMulInt (Neg xv3000) (Neg xv40010)",fontsize=16,color="black",shape="box"];618 -> 622[label="",style="solid", color="black", weight=3]; 619[label="Pos (primMulNat xv3000 xv40010)",fontsize=16,color="green",shape="box"];619 -> 623[label="",style="dashed", color="green", weight=3]; 620[label="Neg (primMulNat xv3000 xv40010)",fontsize=16,color="green",shape="box"];620 -> 624[label="",style="dashed", color="green", weight=3]; 621[label="Neg (primMulNat xv3000 xv40010)",fontsize=16,color="green",shape="box"];621 -> 625[label="",style="dashed", color="green", weight=3]; 622[label="Pos (primMulNat xv3000 xv40010)",fontsize=16,color="green",shape="box"];622 -> 626[label="",style="dashed", color="green", weight=3]; 623[label="primMulNat xv3000 xv40010",fontsize=16,color="burlywood",shape="triangle"];889[label="xv3000/Succ xv30000",fontsize=10,color="white",style="solid",shape="box"];623 -> 889[label="",style="solid", color="burlywood", weight=9]; 889 -> 627[label="",style="solid", color="burlywood", weight=3]; 890[label="xv3000/Zero",fontsize=10,color="white",style="solid",shape="box"];623 -> 890[label="",style="solid", color="burlywood", weight=9]; 890 -> 628[label="",style="solid", color="burlywood", weight=3]; 624 -> 623[label="",style="dashed", color="red", weight=0]; 624[label="primMulNat xv3000 xv40010",fontsize=16,color="magenta"];624 -> 629[label="",style="dashed", color="magenta", weight=3]; 625 -> 623[label="",style="dashed", color="red", weight=0]; 625[label="primMulNat xv3000 xv40010",fontsize=16,color="magenta"];625 -> 630[label="",style="dashed", color="magenta", weight=3]; 626 -> 623[label="",style="dashed", color="red", weight=0]; 626[label="primMulNat xv3000 xv40010",fontsize=16,color="magenta"];626 -> 631[label="",style="dashed", color="magenta", weight=3]; 626 -> 632[label="",style="dashed", color="magenta", weight=3]; 627[label="primMulNat (Succ xv30000) xv40010",fontsize=16,color="burlywood",shape="box"];891[label="xv40010/Succ xv400100",fontsize=10,color="white",style="solid",shape="box"];627 -> 891[label="",style="solid", color="burlywood", weight=9]; 891 -> 633[label="",style="solid", color="burlywood", weight=3]; 892[label="xv40010/Zero",fontsize=10,color="white",style="solid",shape="box"];627 -> 892[label="",style="solid", color="burlywood", weight=9]; 892 -> 634[label="",style="solid", color="burlywood", weight=3]; 628[label="primMulNat Zero xv40010",fontsize=16,color="burlywood",shape="box"];893[label="xv40010/Succ xv400100",fontsize=10,color="white",style="solid",shape="box"];628 -> 893[label="",style="solid", color="burlywood", weight=9]; 893 -> 635[label="",style="solid", color="burlywood", weight=3]; 894[label="xv40010/Zero",fontsize=10,color="white",style="solid",shape="box"];628 -> 894[label="",style="solid", color="burlywood", weight=9]; 894 -> 636[label="",style="solid", color="burlywood", weight=3]; 629[label="xv40010",fontsize=16,color="green",shape="box"];630[label="xv3000",fontsize=16,color="green",shape="box"];631[label="xv3000",fontsize=16,color="green",shape="box"];632[label="xv40010",fontsize=16,color="green",shape="box"];633[label="primMulNat (Succ xv30000) (Succ xv400100)",fontsize=16,color="black",shape="box"];633 -> 637[label="",style="solid", color="black", weight=3]; 634[label="primMulNat (Succ xv30000) Zero",fontsize=16,color="black",shape="box"];634 -> 638[label="",style="solid", color="black", weight=3]; 635[label="primMulNat Zero (Succ xv400100)",fontsize=16,color="black",shape="box"];635 -> 639[label="",style="solid", color="black", weight=3]; 636[label="primMulNat Zero Zero",fontsize=16,color="black",shape="box"];636 -> 640[label="",style="solid", color="black", weight=3]; 637 -> 641[label="",style="dashed", color="red", weight=0]; 637[label="primPlusNat (primMulNat xv30000 (Succ xv400100)) (Succ xv400100)",fontsize=16,color="magenta"];637 -> 642[label="",style="dashed", color="magenta", weight=3]; 638[label="Zero",fontsize=16,color="green",shape="box"];639[label="Zero",fontsize=16,color="green",shape="box"];640[label="Zero",fontsize=16,color="green",shape="box"];642 -> 623[label="",style="dashed", color="red", weight=0]; 642[label="primMulNat xv30000 (Succ xv400100)",fontsize=16,color="magenta"];642 -> 643[label="",style="dashed", color="magenta", weight=3]; 642 -> 644[label="",style="dashed", color="magenta", weight=3]; 641[label="primPlusNat xv24 (Succ xv400100)",fontsize=16,color="burlywood",shape="triangle"];895[label="xv24/Succ xv240",fontsize=10,color="white",style="solid",shape="box"];641 -> 895[label="",style="solid", color="burlywood", weight=9]; 895 -> 645[label="",style="solid", color="burlywood", weight=3]; 896[label="xv24/Zero",fontsize=10,color="white",style="solid",shape="box"];641 -> 896[label="",style="solid", color="burlywood", weight=9]; 896 -> 646[label="",style="solid", color="burlywood", weight=3]; 643[label="xv30000",fontsize=16,color="green",shape="box"];644[label="Succ xv400100",fontsize=16,color="green",shape="box"];645[label="primPlusNat (Succ xv240) (Succ xv400100)",fontsize=16,color="black",shape="box"];645 -> 647[label="",style="solid", color="black", weight=3]; 646[label="primPlusNat Zero (Succ xv400100)",fontsize=16,color="black",shape="box"];646 -> 648[label="",style="solid", color="black", weight=3]; 647[label="Succ (Succ (primPlusNat xv240 xv400100))",fontsize=16,color="green",shape="box"];647 -> 649[label="",style="dashed", color="green", weight=3]; 648[label="Succ xv400100",fontsize=16,color="green",shape="box"];649[label="primPlusNat xv240 xv400100",fontsize=16,color="burlywood",shape="triangle"];897[label="xv240/Succ xv2400",fontsize=10,color="white",style="solid",shape="box"];649 -> 897[label="",style="solid", color="burlywood", weight=9]; 897 -> 650[label="",style="solid", color="burlywood", weight=3]; 898[label="xv240/Zero",fontsize=10,color="white",style="solid",shape="box"];649 -> 898[label="",style="solid", color="burlywood", weight=9]; 898 -> 651[label="",style="solid", color="burlywood", weight=3]; 650[label="primPlusNat (Succ xv2400) xv400100",fontsize=16,color="burlywood",shape="box"];899[label="xv400100/Succ xv4001000",fontsize=10,color="white",style="solid",shape="box"];650 -> 899[label="",style="solid", color="burlywood", weight=9]; 899 -> 652[label="",style="solid", color="burlywood", weight=3]; 900[label="xv400100/Zero",fontsize=10,color="white",style="solid",shape="box"];650 -> 900[label="",style="solid", color="burlywood", weight=9]; 900 -> 653[label="",style="solid", color="burlywood", weight=3]; 651[label="primPlusNat Zero xv400100",fontsize=16,color="burlywood",shape="box"];901[label="xv400100/Succ xv4001000",fontsize=10,color="white",style="solid",shape="box"];651 -> 901[label="",style="solid", color="burlywood", weight=9]; 901 -> 654[label="",style="solid", color="burlywood", weight=3]; 902[label="xv400100/Zero",fontsize=10,color="white",style="solid",shape="box"];651 -> 902[label="",style="solid", color="burlywood", weight=9]; 902 -> 655[label="",style="solid", color="burlywood", weight=3]; 652[label="primPlusNat (Succ xv2400) (Succ xv4001000)",fontsize=16,color="black",shape="box"];652 -> 656[label="",style="solid", color="black", weight=3]; 653[label="primPlusNat (Succ xv2400) Zero",fontsize=16,color="black",shape="box"];653 -> 657[label="",style="solid", color="black", weight=3]; 654[label="primPlusNat Zero (Succ xv4001000)",fontsize=16,color="black",shape="box"];654 -> 658[label="",style="solid", color="black", weight=3]; 655[label="primPlusNat Zero Zero",fontsize=16,color="black",shape="box"];655 -> 659[label="",style="solid", color="black", weight=3]; 656[label="Succ (Succ (primPlusNat xv2400 xv4001000))",fontsize=16,color="green",shape="box"];656 -> 660[label="",style="dashed", color="green", weight=3]; 657[label="Succ xv2400",fontsize=16,color="green",shape="box"];658[label="Succ xv4001000",fontsize=16,color="green",shape="box"];659[label="Zero",fontsize=16,color="green",shape="box"];660 -> 649[label="",style="dashed", color="red", weight=0]; 660[label="primPlusNat xv2400 xv4001000",fontsize=16,color="magenta"];660 -> 661[label="",style="dashed", color="magenta", weight=3]; 660 -> 662[label="",style="dashed", color="magenta", weight=3]; 661[label="xv2400",fontsize=16,color="green",shape="box"];662[label="xv4001000",fontsize=16,color="green",shape="box"];} ---------------------------------------- (6) Complex Obligation (AND) ---------------------------------------- (7) Obligation: Q DP problem: The TRS P consists of the following rules: new_foldr(xv3, :(xv40, xv41), h, ba) -> new_foldr(xv3, xv41, h, ba) R is empty. Q is empty. We have to consider all minimal (P,Q,R)-chains. ---------------------------------------- (8) QDPSizeChangeProof (EQUIVALENT) By using the subterm criterion [SUBTERM_CRITERION] together with the size-change analysis [AAECC05] we have proven that there are no infinite chains for this DP problem. From the DPs we obtained the following set of size-change graphs: *new_foldr(xv3, :(xv40, xv41), h, ba) -> new_foldr(xv3, xv41, h, ba) The graph contains the following edges 1 >= 1, 2 > 2, 3 >= 3, 4 >= 4 ---------------------------------------- (9) YES ---------------------------------------- (10) Obligation: Q DP problem: The TRS P consists of the following rules: new_primMulNat(Succ(xv30000), Succ(xv400100)) -> new_primMulNat(xv30000, Succ(xv400100)) 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(xv30000), Succ(xv400100)) -> new_primMulNat(xv30000, Succ(xv400100)) 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_esEs0(Left(@3(xv300, xv301, xv302)), Left(@3(xv4000, xv4001, xv4002)), app(app(app(ty_@3, dg), app(app(ty_@2, gc), gd)), fc), ca) -> new_esEs3(xv301, xv4001, gc, gd) new_esEs1(:(xv300, xv301), :(xv4000, xv4001), app(app(ty_Either, cf), cg)) -> new_esEs0(xv300, xv4000, cf, cg) new_esEs3(@2(xv300, xv301), @2(xv4000, xv4001), app(app(ty_Either, bbb), bbc), bba) -> new_esEs0(xv300, xv4000, bbb, bbc) new_esEs0(Left(@3(xv300, xv301, xv302)), Left(@3(xv4000, xv4001, xv4002)), app(app(app(ty_@3, dg), dh), app(app(app(ty_@3, ee), ef), eg)), ca) -> new_esEs2(xv302, xv4002, ee, ef, eg) new_esEs0(Left(@2(xv300, xv301)), Left(@2(xv4000, xv4001)), app(app(ty_@2, hf), app(app(ty_@2, baf), bag)), ca) -> new_esEs3(xv301, xv4001, baf, bag) new_esEs(Just(xv300), Just(xv4000), app(ty_Maybe, h)) -> new_esEs(xv300, xv4000, h) new_esEs0(Left(@3(xv300, xv301, xv302)), Left(@3(xv4000, xv4001, xv4002)), app(app(app(ty_@3, dg), app(ty_Maybe, fb)), fc), ca) -> new_esEs(xv301, xv4001, fb) new_esEs2(@3(xv300, xv301, xv302), @3(xv4000, xv4001, xv4002), dg, app(app(ty_@2, gc), gd), fc) -> new_esEs3(xv301, xv4001, gc, gd) new_esEs2(@3(xv300, xv301, xv302), @3(xv4000, xv4001, xv4002), dg, app(app(app(ty_@3, fh), ga), gb), fc) -> new_esEs2(xv301, xv4001, fh, ga, gb) new_esEs2(@3(xv300, xv301, xv302), @3(xv4000, xv4001, xv4002), app(app(app(ty_@3, ha), hb), hc), dh, fc) -> new_esEs2(xv300, xv4000, ha, hb, hc) new_esEs3(@2(xv300, xv301), @2(xv4000, xv4001), hf, app(ty_[], bab)) -> new_esEs1(xv301, xv4001, bab) new_esEs0(Left(Just(xv300)), Left(Just(xv4000)), app(ty_Maybe, app(ty_Maybe, h)), ca) -> new_esEs(xv300, xv4000, h) new_esEs0(Left(xv30), Left(xv400), app(app(ty_Either, cb), cc), ca) -> new_esEs0(xv30, xv400, cb, cc) new_esEs0(Left(:(xv300, xv301)), Left(:(xv4000, xv4001)), app(ty_[], cd), ca) -> new_esEs1(xv301, xv4001, cd) new_esEs0(Left(@3(xv300, xv301, xv302)), Left(@3(xv4000, xv4001, xv4002)), app(app(app(ty_@3, dg), dh), app(app(ty_@2, eh), fa)), ca) -> new_esEs3(xv302, xv4002, eh, fa) new_esEs2(@3(xv300, xv301, xv302), @3(xv4000, xv4001, xv4002), dg, dh, app(app(ty_Either, eb), ec)) -> new_esEs0(xv302, xv4002, eb, ec) new_esEs0(Left(@3(xv300, xv301, xv302)), Left(@3(xv4000, xv4001, xv4002)), app(app(app(ty_@3, dg), dh), app(app(ty_Either, eb), ec)), ca) -> new_esEs0(xv302, xv4002, eb, ec) new_esEs3(@2(xv300, xv301), @2(xv4000, xv4001), app(app(app(ty_@3, bbe), bbf), bbg), bba) -> new_esEs2(xv300, xv4000, bbe, bbf, bbg) new_esEs3(@2(xv300, xv301), @2(xv4000, xv4001), hf, app(ty_Maybe, hg)) -> new_esEs(xv301, xv4001, hg) new_esEs0(Right(xv30), Right(xv400), bcb, app(ty_[], bcf)) -> new_esEs1(xv30, xv400, bcf) new_esEs0(Right(xv30), Right(xv400), bcb, app(app(app(ty_@3, bcg), bch), bda)) -> new_esEs2(xv30, xv400, bcg, bch, bda) new_esEs2(@3(xv300, xv301, xv302), @3(xv4000, xv4001, xv4002), app(ty_[], gh), dh, fc) -> new_esEs1(xv300, xv4000, gh) new_esEs2(@3(xv300, xv301, xv302), @3(xv4000, xv4001, xv4002), dg, dh, app(ty_Maybe, ea)) -> new_esEs(xv302, xv4002, ea) new_esEs0(Left(Just(xv300)), Left(Just(xv4000)), app(ty_Maybe, app(app(app(ty_@3, bd), be), bf)), ca) -> new_esEs2(xv300, xv4000, bd, be, bf) new_esEs0(Left(@2(xv300, xv301)), Left(@2(xv4000, xv4001)), app(app(ty_@2, hf), app(ty_[], bab)), ca) -> new_esEs1(xv301, xv4001, bab) new_esEs3(@2(xv300, xv301), @2(xv4000, xv4001), hf, app(app(app(ty_@3, bac), bad), bae)) -> new_esEs2(xv301, xv4001, bac, bad, bae) new_esEs0(Right(xv30), Right(xv400), bcb, app(ty_Maybe, bcc)) -> new_esEs(xv30, xv400, bcc) new_esEs2(@3(xv300, xv301, xv302), @3(xv4000, xv4001, xv4002), app(ty_Maybe, ge), dh, fc) -> new_esEs(xv300, xv4000, ge) new_esEs2(@3(xv300, xv301, xv302), @3(xv4000, xv4001, xv4002), dg, dh, app(ty_[], ed)) -> new_esEs1(xv302, xv4002, ed) new_esEs0(Left(@3(xv300, xv301, xv302)), Left(@3(xv4000, xv4001, xv4002)), app(app(app(ty_@3, app(app(ty_@2, hd), he)), dh), fc), ca) -> new_esEs3(xv300, xv4000, hd, he) new_esEs1(:(xv300, xv301), :(xv4000, xv4001), app(ty_Maybe, ce)) -> new_esEs(xv300, xv4000, ce) new_esEs3(@2(xv300, xv301), @2(xv4000, xv4001), hf, app(app(ty_Either, hh), baa)) -> new_esEs0(xv301, xv4001, hh, baa) new_esEs(Just(xv300), Just(xv4000), app(ty_[], bc)) -> new_esEs1(xv300, xv4000, bc) new_esEs0(Left(@3(xv300, xv301, xv302)), Left(@3(xv4000, xv4001, xv4002)), app(app(app(ty_@3, app(ty_Maybe, ge)), dh), fc), ca) -> new_esEs(xv300, xv4000, ge) new_esEs0(Left(@3(xv300, xv301, xv302)), Left(@3(xv4000, xv4001, xv4002)), app(app(app(ty_@3, dg), dh), app(ty_[], ed)), ca) -> new_esEs1(xv302, xv4002, ed) new_esEs(Just(xv300), Just(xv4000), app(app(ty_@2, bg), bh)) -> new_esEs3(xv300, xv4000, bg, bh) new_esEs0(Left(Just(xv300)), Left(Just(xv4000)), app(ty_Maybe, app(ty_[], bc)), ca) -> new_esEs1(xv300, xv4000, bc) new_esEs2(@3(xv300, xv301, xv302), @3(xv4000, xv4001, xv4002), dg, dh, app(app(ty_@2, eh), fa)) -> new_esEs3(xv302, xv4002, eh, fa) new_esEs0(Left(@2(xv300, xv301)), Left(@2(xv4000, xv4001)), app(app(ty_@2, hf), app(ty_Maybe, hg)), ca) -> new_esEs(xv301, xv4001, hg) new_esEs0(Left(@3(xv300, xv301, xv302)), Left(@3(xv4000, xv4001, xv4002)), app(app(app(ty_@3, dg), app(app(ty_Either, fd), ff)), fc), ca) -> new_esEs0(xv301, xv4001, fd, ff) new_esEs0(Right(xv30), Right(xv400), bcb, app(app(ty_Either, bcd), bce)) -> new_esEs0(xv30, xv400, bcd, bce) new_esEs0(Left(@3(xv300, xv301, xv302)), Left(@3(xv4000, xv4001, xv4002)), app(app(app(ty_@3, app(app(app(ty_@3, ha), hb), hc)), dh), fc), ca) -> new_esEs2(xv300, xv4000, ha, hb, hc) new_esEs0(Left(@2(xv300, xv301)), Left(@2(xv4000, xv4001)), app(app(ty_@2, app(ty_[], bbd)), bba), ca) -> new_esEs1(xv300, xv4000, bbd) new_esEs2(@3(xv300, xv301, xv302), @3(xv4000, xv4001, xv4002), app(app(ty_@2, hd), he), dh, fc) -> new_esEs3(xv300, xv4000, hd, he) new_esEs0(Left(:(xv300, xv301)), Left(:(xv4000, xv4001)), app(ty_[], app(ty_[], da)), ca) -> new_esEs1(xv300, xv4000, da) new_esEs3(@2(xv300, xv301), @2(xv4000, xv4001), hf, app(app(ty_@2, baf), bag)) -> new_esEs3(xv301, xv4001, baf, bag) new_esEs0(Left(@3(xv300, xv301, xv302)), Left(@3(xv4000, xv4001, xv4002)), app(app(app(ty_@3, app(ty_[], gh)), dh), fc), ca) -> new_esEs1(xv300, xv4000, gh) new_esEs0(Left(@2(xv300, xv301)), Left(@2(xv4000, xv4001)), app(app(ty_@2, app(app(app(ty_@3, bbe), bbf), bbg)), bba), ca) -> new_esEs2(xv300, xv4000, bbe, bbf, bbg) new_esEs0(Left(Just(xv300)), Left(Just(xv4000)), app(ty_Maybe, app(app(ty_Either, ba), bb)), ca) -> new_esEs0(xv300, xv4000, ba, bb) new_esEs0(Left(:(xv300, xv301)), Left(:(xv4000, xv4001)), app(ty_[], app(app(ty_Either, cf), cg)), ca) -> new_esEs0(xv300, xv4000, cf, cg) new_esEs0(Left(@3(xv300, xv301, xv302)), Left(@3(xv4000, xv4001, xv4002)), app(app(app(ty_@3, dg), app(ty_[], fg)), fc), ca) -> new_esEs1(xv301, xv4001, fg) new_esEs0(Right(xv30), Right(xv400), bcb, app(app(ty_@2, bdb), bdc)) -> new_esEs3(xv30, xv400, bdb, bdc) new_esEs2(@3(xv300, xv301, xv302), @3(xv4000, xv4001, xv4002), dg, app(app(ty_Either, fd), ff), fc) -> new_esEs0(xv301, xv4001, fd, ff) new_esEs0(Left(@3(xv300, xv301, xv302)), Left(@3(xv4000, xv4001, xv4002)), app(app(app(ty_@3, dg), dh), app(ty_Maybe, ea)), ca) -> new_esEs(xv302, xv4002, ea) new_esEs2(@3(xv300, xv301, xv302), @3(xv4000, xv4001, xv4002), app(app(ty_Either, gf), gg), dh, fc) -> new_esEs0(xv300, xv4000, gf, gg) new_esEs3(@2(xv300, xv301), @2(xv4000, xv4001), app(app(ty_@2, bbh), bca), bba) -> new_esEs3(xv300, xv4000, bbh, bca) new_esEs(Just(xv300), Just(xv4000), app(app(ty_Either, ba), bb)) -> new_esEs0(xv300, xv4000, ba, bb) new_esEs0(Left(@3(xv300, xv301, xv302)), Left(@3(xv4000, xv4001, xv4002)), app(app(app(ty_@3, app(app(ty_Either, gf), gg)), dh), fc), ca) -> new_esEs0(xv300, xv4000, gf, gg) new_esEs0(Left(@2(xv300, xv301)), Left(@2(xv4000, xv4001)), app(app(ty_@2, app(ty_Maybe, bah)), bba), ca) -> new_esEs(xv300, xv4000, bah) new_esEs(Just(xv300), Just(xv4000), app(app(app(ty_@3, bd), be), bf)) -> new_esEs2(xv300, xv4000, bd, be, bf) new_esEs1(:(xv300, xv301), :(xv4000, xv4001), cd) -> new_esEs1(xv301, xv4001, cd) new_esEs0(Left(@2(xv300, xv301)), Left(@2(xv4000, xv4001)), app(app(ty_@2, app(app(ty_Either, bbb), bbc)), bba), ca) -> new_esEs0(xv300, xv4000, bbb, bbc) new_esEs1(:(xv300, xv301), :(xv4000, xv4001), app(ty_[], da)) -> new_esEs1(xv300, xv4000, da) new_esEs0(Left(:(xv300, xv301)), Left(:(xv4000, xv4001)), app(ty_[], app(app(ty_@2, de), df)), ca) -> new_esEs3(xv300, xv4000, de, df) new_esEs1(:(xv300, xv301), :(xv4000, xv4001), app(app(ty_@2, de), df)) -> new_esEs3(xv300, xv4000, de, df) new_esEs1(:(xv300, xv301), :(xv4000, xv4001), app(app(app(ty_@3, db), dc), dd)) -> new_esEs2(xv300, xv4000, db, dc, dd) new_esEs2(@3(xv300, xv301, xv302), @3(xv4000, xv4001, xv4002), dg, dh, app(app(app(ty_@3, ee), ef), eg)) -> new_esEs2(xv302, xv4002, ee, ef, eg) new_esEs3(@2(xv300, xv301), @2(xv4000, xv4001), app(ty_Maybe, bah), bba) -> new_esEs(xv300, xv4000, bah) new_esEs0(Left(@2(xv300, xv301)), Left(@2(xv4000, xv4001)), app(app(ty_@2, hf), app(app(ty_Either, hh), baa)), ca) -> new_esEs0(xv301, xv4001, hh, baa) new_esEs0(Left(Just(xv300)), Left(Just(xv4000)), app(ty_Maybe, app(app(ty_@2, bg), bh)), ca) -> new_esEs3(xv300, xv4000, bg, bh) new_esEs0(Left(@2(xv300, xv301)), Left(@2(xv4000, xv4001)), app(app(ty_@2, app(app(ty_@2, bbh), bca)), bba), ca) -> new_esEs3(xv300, xv4000, bbh, bca) new_esEs2(@3(xv300, xv301, xv302), @3(xv4000, xv4001, xv4002), dg, app(ty_Maybe, fb), fc) -> new_esEs(xv301, xv4001, fb) new_esEs0(Left(@3(xv300, xv301, xv302)), Left(@3(xv4000, xv4001, xv4002)), app(app(app(ty_@3, dg), app(app(app(ty_@3, fh), ga), gb)), fc), ca) -> new_esEs2(xv301, xv4001, fh, ga, gb) new_esEs2(@3(xv300, xv301, xv302), @3(xv4000, xv4001, xv4002), dg, app(ty_[], fg), fc) -> new_esEs1(xv301, xv4001, fg) new_esEs3(@2(xv300, xv301), @2(xv4000, xv4001), app(ty_[], bbd), bba) -> new_esEs1(xv300, xv4000, bbd) new_esEs0(Left(:(xv300, xv301)), Left(:(xv4000, xv4001)), app(ty_[], app(ty_Maybe, ce)), ca) -> new_esEs(xv300, xv4000, ce) new_esEs0(Left(@2(xv300, xv301)), Left(@2(xv4000, xv4001)), app(app(ty_@2, hf), app(app(app(ty_@3, bac), bad), bae)), ca) -> new_esEs2(xv301, xv4001, bac, bad, bae) new_esEs0(Left(:(xv300, xv301)), Left(:(xv4000, xv4001)), app(ty_[], app(app(app(ty_@3, db), dc), dd)), ca) -> new_esEs2(xv300, xv4000, db, dc, dd) 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_esEs(Just(xv300), Just(xv4000), app(app(ty_Either, ba), bb)) -> new_esEs0(xv300, xv4000, ba, bb) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs1(:(xv300, xv301), :(xv4000, xv4001), app(app(ty_Either, cf), cg)) -> new_esEs0(xv300, xv4000, cf, cg) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs(Just(xv300), Just(xv4000), app(ty_[], bc)) -> new_esEs1(xv300, xv4000, bc) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs(Just(xv300), Just(xv4000), app(app(ty_@2, bg), bh)) -> new_esEs3(xv300, xv4000, bg, bh) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs1(:(xv300, xv301), :(xv4000, xv4001), app(app(ty_@2, de), df)) -> new_esEs3(xv300, xv4000, de, df) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs(Just(xv300), Just(xv4000), app(ty_Maybe, h)) -> new_esEs(xv300, xv4000, h) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs(Just(xv300), Just(xv4000), app(app(app(ty_@3, bd), be), bf)) -> new_esEs2(xv300, xv4000, bd, be, bf) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 *new_esEs1(:(xv300, xv301), :(xv4000, xv4001), app(ty_Maybe, ce)) -> new_esEs(xv300, xv4000, ce) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs1(:(xv300, xv301), :(xv4000, xv4001), app(app(app(ty_@3, db), dc), dd)) -> new_esEs2(xv300, xv4000, db, dc, dd) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 *new_esEs3(@2(xv300, xv301), @2(xv4000, xv4001), app(app(ty_Either, bbb), bbc), bba) -> new_esEs0(xv300, xv4000, bbb, bbc) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs3(@2(xv300, xv301), @2(xv4000, xv4001), hf, app(app(ty_Either, hh), baa)) -> new_esEs0(xv301, xv4001, hh, baa) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 *new_esEs3(@2(xv300, xv301), @2(xv4000, xv4001), hf, app(ty_[], bab)) -> new_esEs1(xv301, xv4001, bab) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 *new_esEs3(@2(xv300, xv301), @2(xv4000, xv4001), app(ty_[], bbd), bba) -> new_esEs1(xv300, xv4000, bbd) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs3(@2(xv300, xv301), @2(xv4000, xv4001), hf, app(app(ty_@2, baf), bag)) -> new_esEs3(xv301, xv4001, baf, bag) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 *new_esEs3(@2(xv300, xv301), @2(xv4000, xv4001), app(app(ty_@2, bbh), bca), bba) -> new_esEs3(xv300, xv4000, bbh, bca) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs3(@2(xv300, xv301), @2(xv4000, xv4001), hf, app(ty_Maybe, hg)) -> new_esEs(xv301, xv4001, hg) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 *new_esEs3(@2(xv300, xv301), @2(xv4000, xv4001), app(ty_Maybe, bah), bba) -> new_esEs(xv300, xv4000, bah) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs3(@2(xv300, xv301), @2(xv4000, xv4001), app(app(app(ty_@3, bbe), bbf), bbg), bba) -> new_esEs2(xv300, xv4000, bbe, bbf, bbg) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 *new_esEs3(@2(xv300, xv301), @2(xv4000, xv4001), hf, app(app(app(ty_@3, bac), bad), bae)) -> new_esEs2(xv301, xv4001, bac, bad, bae) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4, 4 > 5 *new_esEs0(Left(xv30), Left(xv400), app(app(ty_Either, cb), cc), ca) -> new_esEs0(xv30, xv400, cb, cc) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs0(Left(@3(xv300, xv301, xv302)), Left(@3(xv4000, xv4001, xv4002)), app(app(app(ty_@3, dg), dh), app(app(ty_Either, eb), ec)), ca) -> new_esEs0(xv302, xv4002, eb, ec) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs0(Left(@3(xv300, xv301, xv302)), Left(@3(xv4000, xv4001, xv4002)), app(app(app(ty_@3, dg), app(app(ty_Either, fd), ff)), fc), ca) -> new_esEs0(xv301, xv4001, fd, ff) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs0(Right(xv30), Right(xv400), bcb, app(app(ty_Either, bcd), bce)) -> new_esEs0(xv30, xv400, bcd, bce) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 *new_esEs0(Left(Just(xv300)), Left(Just(xv4000)), app(ty_Maybe, app(app(ty_Either, ba), bb)), ca) -> new_esEs0(xv300, xv4000, ba, bb) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs0(Left(:(xv300, xv301)), Left(:(xv4000, xv4001)), app(ty_[], app(app(ty_Either, cf), cg)), ca) -> new_esEs0(xv300, xv4000, cf, cg) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs0(Left(@3(xv300, xv301, xv302)), Left(@3(xv4000, xv4001, xv4002)), app(app(app(ty_@3, app(app(ty_Either, gf), gg)), dh), fc), ca) -> new_esEs0(xv300, xv4000, gf, gg) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs0(Left(@2(xv300, xv301)), Left(@2(xv4000, xv4001)), app(app(ty_@2, app(app(ty_Either, bbb), bbc)), bba), ca) -> new_esEs0(xv300, xv4000, bbb, bbc) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs0(Left(@2(xv300, xv301)), Left(@2(xv4000, xv4001)), app(app(ty_@2, hf), app(app(ty_Either, hh), baa)), ca) -> new_esEs0(xv301, xv4001, hh, baa) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs2(@3(xv300, xv301, xv302), @3(xv4000, xv4001, xv4002), dg, dh, app(app(ty_Either, eb), ec)) -> new_esEs0(xv302, xv4002, eb, ec) The graph contains the following edges 1 > 1, 2 > 2, 5 > 3, 5 > 4 *new_esEs2(@3(xv300, xv301, xv302), @3(xv4000, xv4001, xv4002), dg, app(app(ty_Either, fd), ff), fc) -> new_esEs0(xv301, xv4001, fd, ff) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 *new_esEs2(@3(xv300, xv301, xv302), @3(xv4000, xv4001, xv4002), app(app(ty_Either, gf), gg), dh, fc) -> new_esEs0(xv300, xv4000, gf, gg) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs0(Left(:(xv300, xv301)), Left(:(xv4000, xv4001)), app(ty_[], cd), ca) -> new_esEs1(xv301, xv4001, cd) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs0(Right(xv30), Right(xv400), bcb, app(ty_[], bcf)) -> new_esEs1(xv30, xv400, bcf) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 *new_esEs0(Left(@2(xv300, xv301)), Left(@2(xv4000, xv4001)), app(app(ty_@2, hf), app(ty_[], bab)), ca) -> new_esEs1(xv301, xv4001, bab) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs0(Left(@3(xv300, xv301, xv302)), Left(@3(xv4000, xv4001, xv4002)), app(app(app(ty_@3, dg), dh), app(ty_[], ed)), ca) -> new_esEs1(xv302, xv4002, ed) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs0(Left(Just(xv300)), Left(Just(xv4000)), app(ty_Maybe, app(ty_[], bc)), ca) -> new_esEs1(xv300, xv4000, bc) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs0(Left(@2(xv300, xv301)), Left(@2(xv4000, xv4001)), app(app(ty_@2, app(ty_[], bbd)), bba), ca) -> new_esEs1(xv300, xv4000, bbd) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs0(Left(:(xv300, xv301)), Left(:(xv4000, xv4001)), app(ty_[], app(ty_[], da)), ca) -> new_esEs1(xv300, xv4000, da) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs0(Left(@3(xv300, xv301, xv302)), Left(@3(xv4000, xv4001, xv4002)), app(app(app(ty_@3, app(ty_[], gh)), dh), fc), ca) -> new_esEs1(xv300, xv4000, gh) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs0(Left(@3(xv300, xv301, xv302)), Left(@3(xv4000, xv4001, xv4002)), app(app(app(ty_@3, dg), app(ty_[], fg)), fc), ca) -> new_esEs1(xv301, xv4001, fg) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs0(Left(@3(xv300, xv301, xv302)), Left(@3(xv4000, xv4001, xv4002)), app(app(app(ty_@3, dg), app(app(ty_@2, gc), gd)), fc), ca) -> new_esEs3(xv301, xv4001, gc, gd) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs0(Left(@2(xv300, xv301)), Left(@2(xv4000, xv4001)), app(app(ty_@2, hf), app(app(ty_@2, baf), bag)), ca) -> new_esEs3(xv301, xv4001, baf, bag) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs0(Left(@3(xv300, xv301, xv302)), Left(@3(xv4000, xv4001, xv4002)), app(app(app(ty_@3, dg), dh), app(app(ty_@2, eh), fa)), ca) -> new_esEs3(xv302, xv4002, eh, fa) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs0(Left(@3(xv300, xv301, xv302)), Left(@3(xv4000, xv4001, xv4002)), app(app(app(ty_@3, app(app(ty_@2, hd), he)), dh), fc), ca) -> new_esEs3(xv300, xv4000, hd, he) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs0(Right(xv30), Right(xv400), bcb, app(app(ty_@2, bdb), bdc)) -> new_esEs3(xv30, xv400, bdb, bdc) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 *new_esEs0(Left(:(xv300, xv301)), Left(:(xv4000, xv4001)), app(ty_[], app(app(ty_@2, de), df)), ca) -> new_esEs3(xv300, xv4000, de, df) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs0(Left(Just(xv300)), Left(Just(xv4000)), app(ty_Maybe, app(app(ty_@2, bg), bh)), ca) -> new_esEs3(xv300, xv4000, bg, bh) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs0(Left(@2(xv300, xv301)), Left(@2(xv4000, xv4001)), app(app(ty_@2, app(app(ty_@2, bbh), bca)), bba), ca) -> new_esEs3(xv300, xv4000, bbh, bca) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs0(Left(@3(xv300, xv301, xv302)), Left(@3(xv4000, xv4001, xv4002)), app(app(app(ty_@3, dg), app(ty_Maybe, fb)), fc), ca) -> new_esEs(xv301, xv4001, fb) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs0(Left(Just(xv300)), Left(Just(xv4000)), app(ty_Maybe, app(ty_Maybe, h)), ca) -> new_esEs(xv300, xv4000, h) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs0(Right(xv30), Right(xv400), bcb, app(ty_Maybe, bcc)) -> new_esEs(xv30, xv400, bcc) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 *new_esEs0(Left(@3(xv300, xv301, xv302)), Left(@3(xv4000, xv4001, xv4002)), app(app(app(ty_@3, app(ty_Maybe, ge)), dh), fc), ca) -> new_esEs(xv300, xv4000, ge) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs0(Left(@2(xv300, xv301)), Left(@2(xv4000, xv4001)), app(app(ty_@2, hf), app(ty_Maybe, hg)), ca) -> new_esEs(xv301, xv4001, hg) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs0(Left(@3(xv300, xv301, xv302)), Left(@3(xv4000, xv4001, xv4002)), app(app(app(ty_@3, dg), dh), app(ty_Maybe, ea)), ca) -> new_esEs(xv302, xv4002, ea) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs0(Left(@2(xv300, xv301)), Left(@2(xv4000, xv4001)), app(app(ty_@2, app(ty_Maybe, bah)), bba), ca) -> new_esEs(xv300, xv4000, bah) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs0(Left(:(xv300, xv301)), Left(:(xv4000, xv4001)), app(ty_[], app(ty_Maybe, ce)), ca) -> new_esEs(xv300, xv4000, ce) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs0(Left(@3(xv300, xv301, xv302)), Left(@3(xv4000, xv4001, xv4002)), app(app(app(ty_@3, dg), dh), app(app(app(ty_@3, ee), ef), eg)), ca) -> new_esEs2(xv302, xv4002, ee, ef, eg) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 *new_esEs0(Right(xv30), Right(xv400), bcb, app(app(app(ty_@3, bcg), bch), bda)) -> new_esEs2(xv30, xv400, bcg, bch, bda) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4, 4 > 5 *new_esEs0(Left(Just(xv300)), Left(Just(xv4000)), app(ty_Maybe, app(app(app(ty_@3, bd), be), bf)), ca) -> new_esEs2(xv300, xv4000, bd, be, bf) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 *new_esEs0(Left(@3(xv300, xv301, xv302)), Left(@3(xv4000, xv4001, xv4002)), app(app(app(ty_@3, app(app(app(ty_@3, ha), hb), hc)), dh), fc), ca) -> new_esEs2(xv300, xv4000, ha, hb, hc) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 *new_esEs0(Left(@2(xv300, xv301)), Left(@2(xv4000, xv4001)), app(app(ty_@2, app(app(app(ty_@3, bbe), bbf), bbg)), bba), ca) -> new_esEs2(xv300, xv4000, bbe, bbf, bbg) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 *new_esEs0(Left(@3(xv300, xv301, xv302)), Left(@3(xv4000, xv4001, xv4002)), app(app(app(ty_@3, dg), app(app(app(ty_@3, fh), ga), gb)), fc), ca) -> new_esEs2(xv301, xv4001, fh, ga, gb) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 *new_esEs0(Left(@2(xv300, xv301)), Left(@2(xv4000, xv4001)), app(app(ty_@2, hf), app(app(app(ty_@3, bac), bad), bae)), ca) -> new_esEs2(xv301, xv4001, bac, bad, bae) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 *new_esEs0(Left(:(xv300, xv301)), Left(:(xv4000, xv4001)), app(ty_[], app(app(app(ty_@3, db), dc), dd)), ca) -> new_esEs2(xv300, xv4000, db, dc, dd) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 *new_esEs2(@3(xv300, xv301, xv302), @3(xv4000, xv4001, xv4002), app(ty_[], gh), dh, fc) -> new_esEs1(xv300, xv4000, gh) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs2(@3(xv300, xv301, xv302), @3(xv4000, xv4001, xv4002), dg, dh, app(ty_[], ed)) -> new_esEs1(xv302, xv4002, ed) The graph contains the following edges 1 > 1, 2 > 2, 5 > 3 *new_esEs2(@3(xv300, xv301, xv302), @3(xv4000, xv4001, xv4002), dg, app(ty_[], fg), fc) -> new_esEs1(xv301, xv4001, fg) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 *new_esEs1(:(xv300, xv301), :(xv4000, xv4001), cd) -> new_esEs1(xv301, xv4001, cd) The graph contains the following edges 1 > 1, 2 > 2, 3 >= 3 *new_esEs1(:(xv300, xv301), :(xv4000, xv4001), app(ty_[], da)) -> new_esEs1(xv300, xv4000, da) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs2(@3(xv300, xv301, xv302), @3(xv4000, xv4001, xv4002), dg, app(app(ty_@2, gc), gd), fc) -> new_esEs3(xv301, xv4001, gc, gd) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 *new_esEs2(@3(xv300, xv301, xv302), @3(xv4000, xv4001, xv4002), dg, dh, app(app(ty_@2, eh), fa)) -> new_esEs3(xv302, xv4002, eh, fa) The graph contains the following edges 1 > 1, 2 > 2, 5 > 3, 5 > 4 *new_esEs2(@3(xv300, xv301, xv302), @3(xv4000, xv4001, xv4002), app(app(ty_@2, hd), he), dh, fc) -> new_esEs3(xv300, xv4000, hd, he) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs2(@3(xv300, xv301, xv302), @3(xv4000, xv4001, xv4002), dg, dh, app(ty_Maybe, ea)) -> new_esEs(xv302, xv4002, ea) The graph contains the following edges 1 > 1, 2 > 2, 5 > 3 *new_esEs2(@3(xv300, xv301, xv302), @3(xv4000, xv4001, xv4002), app(ty_Maybe, ge), dh, fc) -> new_esEs(xv300, xv4000, ge) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs2(@3(xv300, xv301, xv302), @3(xv4000, xv4001, xv4002), dg, app(ty_Maybe, fb), fc) -> new_esEs(xv301, xv4001, fb) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 *new_esEs2(@3(xv300, xv301, xv302), @3(xv4000, xv4001, xv4002), dg, app(app(app(ty_@3, fh), ga), gb), fc) -> new_esEs2(xv301, xv4001, fh, ga, gb) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4, 4 > 5 *new_esEs2(@3(xv300, xv301, xv302), @3(xv4000, xv4001, xv4002), app(app(app(ty_@3, ha), hb), hc), dh, fc) -> new_esEs2(xv300, xv4000, ha, hb, hc) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 *new_esEs2(@3(xv300, xv301, xv302), @3(xv4000, xv4001, xv4002), dg, dh, app(app(app(ty_@3, ee), ef), eg)) -> new_esEs2(xv302, xv4002, ee, ef, eg) The graph contains the following edges 1 > 1, 2 > 2, 5 > 3, 5 > 4, 5 > 5 ---------------------------------------- (15) YES ---------------------------------------- (16) Obligation: Q DP problem: The TRS P consists of the following rules: new_primPlusNat(Succ(xv2400), Succ(xv4001000)) -> new_primPlusNat(xv2400, xv4001000) R is empty. Q is empty. We have to consider all minimal (P,Q,R)-chains. ---------------------------------------- (17) QDPSizeChangeProof (EQUIVALENT) By using the subterm criterion [SUBTERM_CRITERION] together with the size-change analysis [AAECC05] we have proven that there are no infinite chains for this DP problem. From the DPs we obtained the following set of size-change graphs: *new_primPlusNat(Succ(xv2400), Succ(xv4001000)) -> new_primPlusNat(xv2400, xv4001000) The graph contains the following edges 1 > 1, 2 > 2 ---------------------------------------- (18) YES ---------------------------------------- (19) Obligation: Q DP problem: The TRS P consists of the following rules: new_primEqNat(Succ(xv3000), Succ(xv40000)) -> new_primEqNat(xv3000, xv40000) R is empty. Q is empty. We have to consider all minimal (P,Q,R)-chains. ---------------------------------------- (20) QDPSizeChangeProof (EQUIVALENT) By using the subterm criterion [SUBTERM_CRITERION] together with the size-change analysis [AAECC05] we have proven that there are no infinite chains for this DP problem. From the DPs we obtained the following set of size-change graphs: *new_primEqNat(Succ(xv3000), Succ(xv40000)) -> new_primEqNat(xv3000, xv40000) The graph contains the following edges 1 > 1, 2 > 2 ---------------------------------------- (21) YES