/export/starexec/sandbox2/solver/bin/starexec_run_standard /export/starexec/sandbox2/benchmark/theBenchmark.hs /export/starexec/sandbox2/output/output_files -------------------------------------------------------------------------------- YES proof of /export/starexec/sandbox2/benchmark/theBenchmark.hs # AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty H-Termination with start terms of the given HASKELL could be proven: (0) HASKELL (1) BR [EQUIVALENT, 0 ms] (2) HASKELL (3) COR [EQUIVALENT, 0 ms] (4)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, 0 ms] (15) YES (16) QDP (17) QDPSizeChangeProof [EQUIVALENT, 0 ms] (18) YES (19) QDP (20) QDPSizeChangeProof [EQUIVALENT, 0 ms] (21) YES ---------------------------------------- (0) Obligation: mainModule Main module 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"];677[label="xv4/xv40 : xv41",fontsize=10,color="white",style="solid",shape="box"];9 -> 677[label="",style="solid", color="burlywood", weight=9]; 677 -> 10[label="",style="solid", color="burlywood", weight=3]; 678[label="xv4/[]",fontsize=10,color="white",style="solid",shape="box"];9 -> 678[label="",style="solid", color="burlywood", weight=9]; 678 -> 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 -> 31[label="",style="dashed", color="red", weight=0]; 14[label="(||) (==) xv3 xv40 foldr (||) False (map ((==) xv3) xv41)",fontsize=16,color="magenta"];14 -> 32[label="",style="dashed", color="magenta", weight=3]; 14 -> 33[label="",style="dashed", color="magenta", weight=3]; 15[label="False",fontsize=16,color="green",shape="box"];32[label="(==) xv3 xv40",fontsize=16,color="burlywood",shape="triangle"];679[label="xv3/Nothing",fontsize=10,color="white",style="solid",shape="box"];32 -> 679[label="",style="solid", color="burlywood", weight=9]; 679 -> 44[label="",style="solid", color="burlywood", weight=3]; 680[label="xv3/Just xv30",fontsize=10,color="white",style="solid",shape="box"];32 -> 680[label="",style="solid", color="burlywood", weight=9]; 680 -> 45[label="",style="solid", color="burlywood", weight=3]; 33 -> 9[label="",style="dashed", color="red", weight=0]; 33[label="foldr (||) False (map ((==) xv3) xv41)",fontsize=16,color="magenta"];33 -> 46[label="",style="dashed", color="magenta", weight=3]; 31[label="(||) xv9 xv10",fontsize=16,color="burlywood",shape="triangle"];681[label="xv9/False",fontsize=10,color="white",style="solid",shape="box"];31 -> 681[label="",style="solid", color="burlywood", weight=9]; 681 -> 47[label="",style="solid", color="burlywood", weight=3]; 682[label="xv9/True",fontsize=10,color="white",style="solid",shape="box"];31 -> 682[label="",style="solid", color="burlywood", weight=9]; 682 -> 48[label="",style="solid", color="burlywood", weight=3]; 44[label="(==) Nothing xv40",fontsize=16,color="burlywood",shape="box"];683[label="xv40/Nothing",fontsize=10,color="white",style="solid",shape="box"];44 -> 683[label="",style="solid", color="burlywood", weight=9]; 683 -> 49[label="",style="solid", color="burlywood", weight=3]; 684[label="xv40/Just xv400",fontsize=10,color="white",style="solid",shape="box"];44 -> 684[label="",style="solid", color="burlywood", weight=9]; 684 -> 50[label="",style="solid", color="burlywood", weight=3]; 45[label="(==) Just xv30 xv40",fontsize=16,color="burlywood",shape="box"];685[label="xv40/Nothing",fontsize=10,color="white",style="solid",shape="box"];45 -> 685[label="",style="solid", color="burlywood", weight=9]; 685 -> 51[label="",style="solid", color="burlywood", weight=3]; 686[label="xv40/Just xv400",fontsize=10,color="white",style="solid",shape="box"];45 -> 686[label="",style="solid", color="burlywood", weight=9]; 686 -> 52[label="",style="solid", color="burlywood", weight=3]; 46[label="xv41",fontsize=16,color="green",shape="box"];47[label="(||) False xv10",fontsize=16,color="black",shape="box"];47 -> 53[label="",style="solid", color="black", weight=3]; 48[label="(||) True xv10",fontsize=16,color="black",shape="box"];48 -> 54[label="",style="solid", color="black", weight=3]; 49[label="(==) Nothing Nothing",fontsize=16,color="black",shape="box"];49 -> 55[label="",style="solid", color="black", weight=3]; 50[label="(==) Nothing Just xv400",fontsize=16,color="black",shape="box"];50 -> 56[label="",style="solid", color="black", weight=3]; 51[label="(==) Just xv30 Nothing",fontsize=16,color="black",shape="box"];51 -> 57[label="",style="solid", color="black", weight=3]; 52[label="(==) Just xv30 Just xv400",fontsize=16,color="black",shape="box"];52 -> 58[label="",style="solid", color="black", weight=3]; 53[label="xv10",fontsize=16,color="green",shape="box"];54[label="True",fontsize=16,color="green",shape="box"];55[label="True",fontsize=16,color="green",shape="box"];56[label="False",fontsize=16,color="green",shape="box"];57[label="False",fontsize=16,color="green",shape="box"];58[label="xv30 == xv400",fontsize=16,color="blue",shape="box"];687[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];58 -> 687[label="",style="solid", color="blue", weight=9]; 687 -> 59[label="",style="solid", color="blue", weight=3]; 688[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];58 -> 688[label="",style="solid", color="blue", weight=9]; 688 -> 60[label="",style="solid", color="blue", weight=3]; 689[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];58 -> 689[label="",style="solid", color="blue", weight=9]; 689 -> 61[label="",style="solid", color="blue", weight=3]; 690[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];58 -> 690[label="",style="solid", color="blue", weight=9]; 690 -> 62[label="",style="solid", color="blue", weight=3]; 691[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];58 -> 691[label="",style="solid", color="blue", weight=9]; 691 -> 63[label="",style="solid", color="blue", weight=3]; 692[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];58 -> 692[label="",style="solid", color="blue", weight=9]; 692 -> 64[label="",style="solid", color="blue", weight=3]; 693[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];58 -> 693[label="",style="solid", color="blue", weight=9]; 693 -> 65[label="",style="solid", color="blue", weight=3]; 694[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];58 -> 694[label="",style="solid", color="blue", weight=9]; 694 -> 66[label="",style="solid", color="blue", weight=3]; 695[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];58 -> 695[label="",style="solid", color="blue", weight=9]; 695 -> 67[label="",style="solid", color="blue", weight=3]; 696[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];58 -> 696[label="",style="solid", color="blue", weight=9]; 696 -> 68[label="",style="solid", color="blue", weight=3]; 697[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];58 -> 697[label="",style="solid", color="blue", weight=9]; 697 -> 69[label="",style="solid", color="blue", weight=3]; 698[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];58 -> 698[label="",style="solid", color="blue", weight=9]; 698 -> 70[label="",style="solid", color="blue", weight=3]; 699[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];58 -> 699[label="",style="solid", color="blue", weight=9]; 699 -> 71[label="",style="solid", color="blue", weight=3]; 700[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];58 -> 700[label="",style="solid", color="blue", weight=9]; 700 -> 72[label="",style="solid", color="blue", weight=3]; 59[label="xv30 == xv400",fontsize=16,color="burlywood",shape="triangle"];701[label="xv30/Integer xv300",fontsize=10,color="white",style="solid",shape="box"];59 -> 701[label="",style="solid", color="burlywood", weight=9]; 701 -> 73[label="",style="solid", color="burlywood", weight=3]; 60[label="xv30 == xv400",fontsize=16,color="burlywood",shape="triangle"];702[label="xv30/Left xv300",fontsize=10,color="white",style="solid",shape="box"];60 -> 702[label="",style="solid", color="burlywood", weight=9]; 702 -> 74[label="",style="solid", color="burlywood", weight=3]; 703[label="xv30/Right xv300",fontsize=10,color="white",style="solid",shape="box"];60 -> 703[label="",style="solid", color="burlywood", weight=9]; 703 -> 75[label="",style="solid", color="burlywood", weight=3]; 61[label="xv30 == xv400",fontsize=16,color="black",shape="triangle"];61 -> 76[label="",style="solid", color="black", weight=3]; 62 -> 32[label="",style="dashed", color="red", weight=0]; 62[label="xv30 == xv400",fontsize=16,color="magenta"];62 -> 77[label="",style="dashed", color="magenta", weight=3]; 62 -> 78[label="",style="dashed", color="magenta", weight=3]; 63[label="xv30 == xv400",fontsize=16,color="burlywood",shape="triangle"];704[label="xv30/()",fontsize=10,color="white",style="solid",shape="box"];63 -> 704[label="",style="solid", color="burlywood", weight=9]; 704 -> 79[label="",style="solid", color="burlywood", weight=3]; 64[label="xv30 == xv400",fontsize=16,color="burlywood",shape="triangle"];705[label="xv30/(xv300,xv301)",fontsize=10,color="white",style="solid",shape="box"];64 -> 705[label="",style="solid", color="burlywood", weight=9]; 705 -> 80[label="",style="solid", color="burlywood", weight=3]; 65[label="xv30 == xv400",fontsize=16,color="burlywood",shape="triangle"];706[label="xv30/(xv300,xv301,xv302)",fontsize=10,color="white",style="solid",shape="box"];65 -> 706[label="",style="solid", color="burlywood", weight=9]; 706 -> 81[label="",style="solid", color="burlywood", weight=3]; 66[label="xv30 == xv400",fontsize=16,color="burlywood",shape="triangle"];707[label="xv30/LT",fontsize=10,color="white",style="solid",shape="box"];66 -> 707[label="",style="solid", color="burlywood", weight=9]; 707 -> 82[label="",style="solid", color="burlywood", weight=3]; 708[label="xv30/EQ",fontsize=10,color="white",style="solid",shape="box"];66 -> 708[label="",style="solid", color="burlywood", weight=9]; 708 -> 83[label="",style="solid", color="burlywood", weight=3]; 709[label="xv30/GT",fontsize=10,color="white",style="solid",shape="box"];66 -> 709[label="",style="solid", color="burlywood", weight=9]; 709 -> 84[label="",style="solid", color="burlywood", weight=3]; 67[label="xv30 == xv400",fontsize=16,color="black",shape="triangle"];67 -> 85[label="",style="solid", color="black", weight=3]; 68[label="xv30 == xv400",fontsize=16,color="burlywood",shape="triangle"];710[label="xv30/False",fontsize=10,color="white",style="solid",shape="box"];68 -> 710[label="",style="solid", color="burlywood", weight=9]; 710 -> 86[label="",style="solid", color="burlywood", weight=3]; 711[label="xv30/True",fontsize=10,color="white",style="solid",shape="box"];68 -> 711[label="",style="solid", color="burlywood", weight=9]; 711 -> 87[label="",style="solid", color="burlywood", weight=3]; 69[label="xv30 == xv400",fontsize=16,color="burlywood",shape="triangle"];712[label="xv30/xv300 :% xv301",fontsize=10,color="white",style="solid",shape="box"];69 -> 712[label="",style="solid", color="burlywood", weight=9]; 712 -> 88[label="",style="solid", color="burlywood", weight=3]; 70[label="xv30 == xv400",fontsize=16,color="burlywood",shape="triangle"];713[label="xv30/xv300 : xv301",fontsize=10,color="white",style="solid",shape="box"];70 -> 713[label="",style="solid", color="burlywood", weight=9]; 713 -> 89[label="",style="solid", color="burlywood", weight=3]; 714[label="xv30/[]",fontsize=10,color="white",style="solid",shape="box"];70 -> 714[label="",style="solid", color="burlywood", weight=9]; 714 -> 90[label="",style="solid", color="burlywood", weight=3]; 71[label="xv30 == xv400",fontsize=16,color="black",shape="triangle"];71 -> 91[label="",style="solid", color="black", weight=3]; 72[label="xv30 == xv400",fontsize=16,color="black",shape="triangle"];72 -> 92[label="",style="solid", color="black", weight=3]; 73[label="Integer xv300 == xv400",fontsize=16,color="burlywood",shape="box"];715[label="xv400/Integer xv4000",fontsize=10,color="white",style="solid",shape="box"];73 -> 715[label="",style="solid", color="burlywood", weight=9]; 715 -> 93[label="",style="solid", color="burlywood", weight=3]; 74[label="Left xv300 == xv400",fontsize=16,color="burlywood",shape="box"];716[label="xv400/Left xv4000",fontsize=10,color="white",style="solid",shape="box"];74 -> 716[label="",style="solid", color="burlywood", weight=9]; 716 -> 94[label="",style="solid", color="burlywood", weight=3]; 717[label="xv400/Right xv4000",fontsize=10,color="white",style="solid",shape="box"];74 -> 717[label="",style="solid", color="burlywood", weight=9]; 717 -> 95[label="",style="solid", color="burlywood", weight=3]; 75[label="Right xv300 == xv400",fontsize=16,color="burlywood",shape="box"];718[label="xv400/Left xv4000",fontsize=10,color="white",style="solid",shape="box"];75 -> 718[label="",style="solid", color="burlywood", weight=9]; 718 -> 96[label="",style="solid", color="burlywood", weight=3]; 719[label="xv400/Right xv4000",fontsize=10,color="white",style="solid",shape="box"];75 -> 719[label="",style="solid", color="burlywood", weight=9]; 719 -> 97[label="",style="solid", color="burlywood", weight=3]; 76[label="primEqInt xv30 xv400",fontsize=16,color="burlywood",shape="triangle"];720[label="xv30/Pos xv300",fontsize=10,color="white",style="solid",shape="box"];76 -> 720[label="",style="solid", color="burlywood", weight=9]; 720 -> 98[label="",style="solid", color="burlywood", weight=3]; 721[label="xv30/Neg xv300",fontsize=10,color="white",style="solid",shape="box"];76 -> 721[label="",style="solid", color="burlywood", weight=9]; 721 -> 99[label="",style="solid", color="burlywood", weight=3]; 77[label="xv400",fontsize=16,color="green",shape="box"];78[label="xv30",fontsize=16,color="green",shape="box"];79[label="() == xv400",fontsize=16,color="burlywood",shape="box"];722[label="xv400/()",fontsize=10,color="white",style="solid",shape="box"];79 -> 722[label="",style="solid", color="burlywood", weight=9]; 722 -> 100[label="",style="solid", color="burlywood", weight=3]; 80[label="(xv300,xv301) == xv400",fontsize=16,color="burlywood",shape="box"];723[label="xv400/(xv4000,xv4001)",fontsize=10,color="white",style="solid",shape="box"];80 -> 723[label="",style="solid", color="burlywood", weight=9]; 723 -> 101[label="",style="solid", color="burlywood", weight=3]; 81[label="(xv300,xv301,xv302) == xv400",fontsize=16,color="burlywood",shape="box"];724[label="xv400/(xv4000,xv4001,xv4002)",fontsize=10,color="white",style="solid",shape="box"];81 -> 724[label="",style="solid", color="burlywood", weight=9]; 724 -> 102[label="",style="solid", color="burlywood", weight=3]; 82[label="LT == xv400",fontsize=16,color="burlywood",shape="box"];725[label="xv400/LT",fontsize=10,color="white",style="solid",shape="box"];82 -> 725[label="",style="solid", color="burlywood", weight=9]; 725 -> 103[label="",style="solid", color="burlywood", weight=3]; 726[label="xv400/EQ",fontsize=10,color="white",style="solid",shape="box"];82 -> 726[label="",style="solid", color="burlywood", weight=9]; 726 -> 104[label="",style="solid", color="burlywood", weight=3]; 727[label="xv400/GT",fontsize=10,color="white",style="solid",shape="box"];82 -> 727[label="",style="solid", color="burlywood", weight=9]; 727 -> 105[label="",style="solid", color="burlywood", weight=3]; 83[label="EQ == xv400",fontsize=16,color="burlywood",shape="box"];728[label="xv400/LT",fontsize=10,color="white",style="solid",shape="box"];83 -> 728[label="",style="solid", color="burlywood", weight=9]; 728 -> 106[label="",style="solid", color="burlywood", weight=3]; 729[label="xv400/EQ",fontsize=10,color="white",style="solid",shape="box"];83 -> 729[label="",style="solid", color="burlywood", weight=9]; 729 -> 107[label="",style="solid", color="burlywood", weight=3]; 730[label="xv400/GT",fontsize=10,color="white",style="solid",shape="box"];83 -> 730[label="",style="solid", color="burlywood", weight=9]; 730 -> 108[label="",style="solid", color="burlywood", weight=3]; 84[label="GT == xv400",fontsize=16,color="burlywood",shape="box"];731[label="xv400/LT",fontsize=10,color="white",style="solid",shape="box"];84 -> 731[label="",style="solid", color="burlywood", weight=9]; 731 -> 109[label="",style="solid", color="burlywood", weight=3]; 732[label="xv400/EQ",fontsize=10,color="white",style="solid",shape="box"];84 -> 732[label="",style="solid", color="burlywood", weight=9]; 732 -> 110[label="",style="solid", color="burlywood", weight=3]; 733[label="xv400/GT",fontsize=10,color="white",style="solid",shape="box"];84 -> 733[label="",style="solid", color="burlywood", weight=9]; 733 -> 111[label="",style="solid", color="burlywood", weight=3]; 85[label="primEqFloat xv30 xv400",fontsize=16,color="burlywood",shape="box"];734[label="xv30/Float xv300 xv301",fontsize=10,color="white",style="solid",shape="box"];85 -> 734[label="",style="solid", color="burlywood", weight=9]; 734 -> 112[label="",style="solid", color="burlywood", weight=3]; 86[label="False == xv400",fontsize=16,color="burlywood",shape="box"];735[label="xv400/False",fontsize=10,color="white",style="solid",shape="box"];86 -> 735[label="",style="solid", color="burlywood", weight=9]; 735 -> 113[label="",style="solid", color="burlywood", weight=3]; 736[label="xv400/True",fontsize=10,color="white",style="solid",shape="box"];86 -> 736[label="",style="solid", color="burlywood", weight=9]; 736 -> 114[label="",style="solid", color="burlywood", weight=3]; 87[label="True == xv400",fontsize=16,color="burlywood",shape="box"];737[label="xv400/False",fontsize=10,color="white",style="solid",shape="box"];87 -> 737[label="",style="solid", color="burlywood", weight=9]; 737 -> 115[label="",style="solid", color="burlywood", weight=3]; 738[label="xv400/True",fontsize=10,color="white",style="solid",shape="box"];87 -> 738[label="",style="solid", color="burlywood", weight=9]; 738 -> 116[label="",style="solid", color="burlywood", weight=3]; 88[label="xv300 :% xv301 == xv400",fontsize=16,color="burlywood",shape="box"];739[label="xv400/xv4000 :% xv4001",fontsize=10,color="white",style="solid",shape="box"];88 -> 739[label="",style="solid", color="burlywood", weight=9]; 739 -> 117[label="",style="solid", color="burlywood", weight=3]; 89[label="xv300 : xv301 == xv400",fontsize=16,color="burlywood",shape="box"];740[label="xv400/xv4000 : xv4001",fontsize=10,color="white",style="solid",shape="box"];89 -> 740[label="",style="solid", color="burlywood", weight=9]; 740 -> 118[label="",style="solid", color="burlywood", weight=3]; 741[label="xv400/[]",fontsize=10,color="white",style="solid",shape="box"];89 -> 741[label="",style="solid", color="burlywood", weight=9]; 741 -> 119[label="",style="solid", color="burlywood", weight=3]; 90[label="[] == xv400",fontsize=16,color="burlywood",shape="box"];742[label="xv400/xv4000 : xv4001",fontsize=10,color="white",style="solid",shape="box"];90 -> 742[label="",style="solid", color="burlywood", weight=9]; 742 -> 120[label="",style="solid", color="burlywood", weight=3]; 743[label="xv400/[]",fontsize=10,color="white",style="solid",shape="box"];90 -> 743[label="",style="solid", color="burlywood", weight=9]; 743 -> 121[label="",style="solid", color="burlywood", weight=3]; 91[label="primEqChar xv30 xv400",fontsize=16,color="burlywood",shape="box"];744[label="xv30/Char xv300",fontsize=10,color="white",style="solid",shape="box"];91 -> 744[label="",style="solid", color="burlywood", weight=9]; 744 -> 122[label="",style="solid", color="burlywood", weight=3]; 92[label="primEqDouble xv30 xv400",fontsize=16,color="burlywood",shape="box"];745[label="xv30/Double xv300 xv301",fontsize=10,color="white",style="solid",shape="box"];92 -> 745[label="",style="solid", color="burlywood", weight=9]; 745 -> 123[label="",style="solid", color="burlywood", weight=3]; 93[label="Integer xv300 == Integer xv4000",fontsize=16,color="black",shape="box"];93 -> 124[label="",style="solid", color="black", weight=3]; 94[label="Left xv300 == Left xv4000",fontsize=16,color="black",shape="box"];94 -> 125[label="",style="solid", color="black", weight=3]; 95[label="Left xv300 == Right xv4000",fontsize=16,color="black",shape="box"];95 -> 126[label="",style="solid", color="black", weight=3]; 96[label="Right xv300 == Left xv4000",fontsize=16,color="black",shape="box"];96 -> 127[label="",style="solid", color="black", weight=3]; 97[label="Right xv300 == Right xv4000",fontsize=16,color="black",shape="box"];97 -> 128[label="",style="solid", color="black", weight=3]; 98[label="primEqInt (Pos xv300) xv400",fontsize=16,color="burlywood",shape="box"];746[label="xv300/Succ xv3000",fontsize=10,color="white",style="solid",shape="box"];98 -> 746[label="",style="solid", color="burlywood", weight=9]; 746 -> 129[label="",style="solid", color="burlywood", weight=3]; 747[label="xv300/Zero",fontsize=10,color="white",style="solid",shape="box"];98 -> 747[label="",style="solid", color="burlywood", weight=9]; 747 -> 130[label="",style="solid", color="burlywood", weight=3]; 99[label="primEqInt (Neg xv300) xv400",fontsize=16,color="burlywood",shape="box"];748[label="xv300/Succ xv3000",fontsize=10,color="white",style="solid",shape="box"];99 -> 748[label="",style="solid", color="burlywood", weight=9]; 748 -> 131[label="",style="solid", color="burlywood", weight=3]; 749[label="xv300/Zero",fontsize=10,color="white",style="solid",shape="box"];99 -> 749[label="",style="solid", color="burlywood", weight=9]; 749 -> 132[label="",style="solid", color="burlywood", weight=3]; 100[label="() == ()",fontsize=16,color="black",shape="box"];100 -> 133[label="",style="solid", color="black", weight=3]; 101[label="(xv300,xv301) == (xv4000,xv4001)",fontsize=16,color="black",shape="box"];101 -> 134[label="",style="solid", color="black", weight=3]; 102[label="(xv300,xv301,xv302) == (xv4000,xv4001,xv4002)",fontsize=16,color="black",shape="box"];102 -> 135[label="",style="solid", color="black", weight=3]; 103[label="LT == LT",fontsize=16,color="black",shape="box"];103 -> 136[label="",style="solid", color="black", weight=3]; 104[label="LT == EQ",fontsize=16,color="black",shape="box"];104 -> 137[label="",style="solid", color="black", weight=3]; 105[label="LT == GT",fontsize=16,color="black",shape="box"];105 -> 138[label="",style="solid", color="black", weight=3]; 106[label="EQ == LT",fontsize=16,color="black",shape="box"];106 -> 139[label="",style="solid", color="black", weight=3]; 107[label="EQ == EQ",fontsize=16,color="black",shape="box"];107 -> 140[label="",style="solid", color="black", weight=3]; 108[label="EQ == GT",fontsize=16,color="black",shape="box"];108 -> 141[label="",style="solid", color="black", weight=3]; 109[label="GT == LT",fontsize=16,color="black",shape="box"];109 -> 142[label="",style="solid", color="black", weight=3]; 110[label="GT == EQ",fontsize=16,color="black",shape="box"];110 -> 143[label="",style="solid", color="black", weight=3]; 111[label="GT == GT",fontsize=16,color="black",shape="box"];111 -> 144[label="",style="solid", color="black", weight=3]; 112[label="primEqFloat (Float xv300 xv301) xv400",fontsize=16,color="burlywood",shape="box"];750[label="xv400/Float xv4000 xv4001",fontsize=10,color="white",style="solid",shape="box"];112 -> 750[label="",style="solid", color="burlywood", weight=9]; 750 -> 145[label="",style="solid", color="burlywood", weight=3]; 113[label="False == False",fontsize=16,color="black",shape="box"];113 -> 146[label="",style="solid", color="black", weight=3]; 114[label="False == True",fontsize=16,color="black",shape="box"];114 -> 147[label="",style="solid", color="black", weight=3]; 115[label="True == False",fontsize=16,color="black",shape="box"];115 -> 148[label="",style="solid", color="black", weight=3]; 116[label="True == True",fontsize=16,color="black",shape="box"];116 -> 149[label="",style="solid", color="black", weight=3]; 117[label="xv300 :% xv301 == xv4000 :% xv4001",fontsize=16,color="black",shape="box"];117 -> 150[label="",style="solid", color="black", weight=3]; 118[label="xv300 : xv301 == xv4000 : xv4001",fontsize=16,color="black",shape="box"];118 -> 151[label="",style="solid", color="black", weight=3]; 119[label="xv300 : xv301 == []",fontsize=16,color="black",shape="box"];119 -> 152[label="",style="solid", color="black", weight=3]; 120[label="[] == xv4000 : xv4001",fontsize=16,color="black",shape="box"];120 -> 153[label="",style="solid", color="black", weight=3]; 121[label="[] == []",fontsize=16,color="black",shape="box"];121 -> 154[label="",style="solid", color="black", weight=3]; 122[label="primEqChar (Char xv300) xv400",fontsize=16,color="burlywood",shape="box"];751[label="xv400/Char xv4000",fontsize=10,color="white",style="solid",shape="box"];122 -> 751[label="",style="solid", color="burlywood", weight=9]; 751 -> 155[label="",style="solid", color="burlywood", weight=3]; 123[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"];123 -> 752[label="",style="solid", color="burlywood", weight=9]; 752 -> 156[label="",style="solid", color="burlywood", weight=3]; 124 -> 76[label="",style="dashed", color="red", weight=0]; 124[label="primEqInt xv300 xv4000",fontsize=16,color="magenta"];124 -> 157[label="",style="dashed", color="magenta", weight=3]; 124 -> 158[label="",style="dashed", color="magenta", weight=3]; 125[label="xv300 == xv4000",fontsize=16,color="blue",shape="box"];753[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];125 -> 753[label="",style="solid", color="blue", weight=9]; 753 -> 159[label="",style="solid", color="blue", weight=3]; 754[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];125 -> 754[label="",style="solid", color="blue", weight=9]; 754 -> 160[label="",style="solid", color="blue", weight=3]; 755[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];125 -> 755[label="",style="solid", color="blue", weight=9]; 755 -> 161[label="",style="solid", color="blue", weight=3]; 756[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];125 -> 756[label="",style="solid", color="blue", weight=9]; 756 -> 162[label="",style="solid", color="blue", weight=3]; 757[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];125 -> 757[label="",style="solid", color="blue", weight=9]; 757 -> 163[label="",style="solid", color="blue", weight=3]; 758[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];125 -> 758[label="",style="solid", color="blue", weight=9]; 758 -> 164[label="",style="solid", color="blue", weight=3]; 759[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];125 -> 759[label="",style="solid", color="blue", weight=9]; 759 -> 165[label="",style="solid", color="blue", weight=3]; 760[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];125 -> 760[label="",style="solid", color="blue", weight=9]; 760 -> 166[label="",style="solid", color="blue", weight=3]; 761[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];125 -> 761[label="",style="solid", color="blue", weight=9]; 761 -> 167[label="",style="solid", color="blue", weight=3]; 762[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];125 -> 762[label="",style="solid", color="blue", weight=9]; 762 -> 168[label="",style="solid", color="blue", weight=3]; 763[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];125 -> 763[label="",style="solid", color="blue", weight=9]; 763 -> 169[label="",style="solid", color="blue", weight=3]; 764[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];125 -> 764[label="",style="solid", color="blue", weight=9]; 764 -> 170[label="",style="solid", color="blue", weight=3]; 765[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];125 -> 765[label="",style="solid", color="blue", weight=9]; 765 -> 171[label="",style="solid", color="blue", weight=3]; 766[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];125 -> 766[label="",style="solid", color="blue", weight=9]; 766 -> 172[label="",style="solid", color="blue", weight=3]; 126[label="False",fontsize=16,color="green",shape="box"];127[label="False",fontsize=16,color="green",shape="box"];128[label="xv300 == xv4000",fontsize=16,color="blue",shape="box"];767[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];128 -> 767[label="",style="solid", color="blue", weight=9]; 767 -> 173[label="",style="solid", color="blue", weight=3]; 768[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];128 -> 768[label="",style="solid", color="blue", weight=9]; 768 -> 174[label="",style="solid", color="blue", weight=3]; 769[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];128 -> 769[label="",style="solid", color="blue", weight=9]; 769 -> 175[label="",style="solid", color="blue", weight=3]; 770[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];128 -> 770[label="",style="solid", color="blue", weight=9]; 770 -> 176[label="",style="solid", color="blue", weight=3]; 771[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];128 -> 771[label="",style="solid", color="blue", weight=9]; 771 -> 177[label="",style="solid", color="blue", weight=3]; 772[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];128 -> 772[label="",style="solid", color="blue", weight=9]; 772 -> 178[label="",style="solid", color="blue", weight=3]; 773[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];128 -> 773[label="",style="solid", color="blue", weight=9]; 773 -> 179[label="",style="solid", color="blue", weight=3]; 774[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];128 -> 774[label="",style="solid", color="blue", weight=9]; 774 -> 180[label="",style="solid", color="blue", weight=3]; 775[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];128 -> 775[label="",style="solid", color="blue", weight=9]; 775 -> 181[label="",style="solid", color="blue", weight=3]; 776[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];128 -> 776[label="",style="solid", color="blue", weight=9]; 776 -> 182[label="",style="solid", color="blue", weight=3]; 777[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];128 -> 777[label="",style="solid", color="blue", weight=9]; 777 -> 183[label="",style="solid", color="blue", weight=3]; 778[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];128 -> 778[label="",style="solid", color="blue", weight=9]; 778 -> 184[label="",style="solid", color="blue", weight=3]; 779[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];128 -> 779[label="",style="solid", color="blue", weight=9]; 779 -> 185[label="",style="solid", color="blue", weight=3]; 780[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];128 -> 780[label="",style="solid", color="blue", weight=9]; 780 -> 186[label="",style="solid", color="blue", weight=3]; 129[label="primEqInt (Pos (Succ xv3000)) xv400",fontsize=16,color="burlywood",shape="box"];781[label="xv400/Pos xv4000",fontsize=10,color="white",style="solid",shape="box"];129 -> 781[label="",style="solid", color="burlywood", weight=9]; 781 -> 187[label="",style="solid", color="burlywood", weight=3]; 782[label="xv400/Neg xv4000",fontsize=10,color="white",style="solid",shape="box"];129 -> 782[label="",style="solid", color="burlywood", weight=9]; 782 -> 188[label="",style="solid", color="burlywood", weight=3]; 130[label="primEqInt (Pos Zero) xv400",fontsize=16,color="burlywood",shape="box"];783[label="xv400/Pos xv4000",fontsize=10,color="white",style="solid",shape="box"];130 -> 783[label="",style="solid", color="burlywood", weight=9]; 783 -> 189[label="",style="solid", color="burlywood", weight=3]; 784[label="xv400/Neg xv4000",fontsize=10,color="white",style="solid",shape="box"];130 -> 784[label="",style="solid", color="burlywood", weight=9]; 784 -> 190[label="",style="solid", color="burlywood", weight=3]; 131[label="primEqInt (Neg (Succ xv3000)) xv400",fontsize=16,color="burlywood",shape="box"];785[label="xv400/Pos xv4000",fontsize=10,color="white",style="solid",shape="box"];131 -> 785[label="",style="solid", color="burlywood", weight=9]; 785 -> 191[label="",style="solid", color="burlywood", weight=3]; 786[label="xv400/Neg xv4000",fontsize=10,color="white",style="solid",shape="box"];131 -> 786[label="",style="solid", color="burlywood", weight=9]; 786 -> 192[label="",style="solid", color="burlywood", weight=3]; 132[label="primEqInt (Neg Zero) xv400",fontsize=16,color="burlywood",shape="box"];787[label="xv400/Pos xv4000",fontsize=10,color="white",style="solid",shape="box"];132 -> 787[label="",style="solid", color="burlywood", weight=9]; 787 -> 193[label="",style="solid", color="burlywood", weight=3]; 788[label="xv400/Neg xv4000",fontsize=10,color="white",style="solid",shape="box"];132 -> 788[label="",style="solid", color="burlywood", weight=9]; 788 -> 194[label="",style="solid", color="burlywood", weight=3]; 133[label="True",fontsize=16,color="green",shape="box"];134 -> 303[label="",style="dashed", color="red", weight=0]; 134[label="xv300 == xv4000 && xv301 == xv4001",fontsize=16,color="magenta"];134 -> 304[label="",style="dashed", color="magenta", weight=3]; 134 -> 305[label="",style="dashed", color="magenta", weight=3]; 135 -> 303[label="",style="dashed", color="red", weight=0]; 135[label="xv300 == xv4000 && xv301 == xv4001 && xv302 == xv4002",fontsize=16,color="magenta"];135 -> 306[label="",style="dashed", color="magenta", weight=3]; 135 -> 307[label="",style="dashed", color="magenta", weight=3]; 136[label="True",fontsize=16,color="green",shape="box"];137[label="False",fontsize=16,color="green",shape="box"];138[label="False",fontsize=16,color="green",shape="box"];139[label="False",fontsize=16,color="green",shape="box"];140[label="True",fontsize=16,color="green",shape="box"];141[label="False",fontsize=16,color="green",shape="box"];142[label="False",fontsize=16,color="green",shape="box"];143[label="False",fontsize=16,color="green",shape="box"];144[label="True",fontsize=16,color="green",shape="box"];145[label="primEqFloat (Float xv300 xv301) (Float xv4000 xv4001)",fontsize=16,color="black",shape="box"];145 -> 216[label="",style="solid", color="black", weight=3]; 146[label="True",fontsize=16,color="green",shape="box"];147[label="False",fontsize=16,color="green",shape="box"];148[label="False",fontsize=16,color="green",shape="box"];149[label="True",fontsize=16,color="green",shape="box"];150 -> 303[label="",style="dashed", color="red", weight=0]; 150[label="xv300 == xv4000 && xv301 == xv4001",fontsize=16,color="magenta"];150 -> 308[label="",style="dashed", color="magenta", weight=3]; 150 -> 309[label="",style="dashed", color="magenta", weight=3]; 151 -> 303[label="",style="dashed", color="red", weight=0]; 151[label="xv300 == xv4000 && xv301 == xv4001",fontsize=16,color="magenta"];151 -> 310[label="",style="dashed", color="magenta", weight=3]; 151 -> 311[label="",style="dashed", color="magenta", weight=3]; 152[label="False",fontsize=16,color="green",shape="box"];153[label="False",fontsize=16,color="green",shape="box"];154[label="True",fontsize=16,color="green",shape="box"];155[label="primEqChar (Char xv300) (Char xv4000)",fontsize=16,color="black",shape="box"];155 -> 217[label="",style="solid", color="black", weight=3]; 156[label="primEqDouble (Double xv300 xv301) (Double xv4000 xv4001)",fontsize=16,color="black",shape="box"];156 -> 218[label="",style="solid", color="black", weight=3]; 157[label="xv300",fontsize=16,color="green",shape="box"];158[label="xv4000",fontsize=16,color="green",shape="box"];159 -> 59[label="",style="dashed", color="red", weight=0]; 159[label="xv300 == xv4000",fontsize=16,color="magenta"];159 -> 219[label="",style="dashed", color="magenta", weight=3]; 159 -> 220[label="",style="dashed", color="magenta", weight=3]; 160 -> 60[label="",style="dashed", color="red", weight=0]; 160[label="xv300 == xv4000",fontsize=16,color="magenta"];160 -> 221[label="",style="dashed", color="magenta", weight=3]; 160 -> 222[label="",style="dashed", color="magenta", weight=3]; 161 -> 61[label="",style="dashed", color="red", weight=0]; 161[label="xv300 == xv4000",fontsize=16,color="magenta"];161 -> 223[label="",style="dashed", color="magenta", weight=3]; 161 -> 224[label="",style="dashed", color="magenta", weight=3]; 162 -> 32[label="",style="dashed", color="red", weight=0]; 162[label="xv300 == xv4000",fontsize=16,color="magenta"];162 -> 225[label="",style="dashed", color="magenta", weight=3]; 162 -> 226[label="",style="dashed", color="magenta", weight=3]; 163 -> 63[label="",style="dashed", color="red", weight=0]; 163[label="xv300 == xv4000",fontsize=16,color="magenta"];163 -> 227[label="",style="dashed", color="magenta", weight=3]; 163 -> 228[label="",style="dashed", color="magenta", weight=3]; 164 -> 64[label="",style="dashed", color="red", weight=0]; 164[label="xv300 == xv4000",fontsize=16,color="magenta"];164 -> 229[label="",style="dashed", color="magenta", weight=3]; 164 -> 230[label="",style="dashed", color="magenta", weight=3]; 165 -> 65[label="",style="dashed", color="red", weight=0]; 165[label="xv300 == xv4000",fontsize=16,color="magenta"];165 -> 231[label="",style="dashed", color="magenta", weight=3]; 165 -> 232[label="",style="dashed", color="magenta", weight=3]; 166 -> 66[label="",style="dashed", color="red", weight=0]; 166[label="xv300 == xv4000",fontsize=16,color="magenta"];166 -> 233[label="",style="dashed", color="magenta", weight=3]; 166 -> 234[label="",style="dashed", color="magenta", weight=3]; 167 -> 67[label="",style="dashed", color="red", weight=0]; 167[label="xv300 == xv4000",fontsize=16,color="magenta"];167 -> 235[label="",style="dashed", color="magenta", weight=3]; 167 -> 236[label="",style="dashed", color="magenta", weight=3]; 168 -> 68[label="",style="dashed", color="red", weight=0]; 168[label="xv300 == xv4000",fontsize=16,color="magenta"];168 -> 237[label="",style="dashed", color="magenta", weight=3]; 168 -> 238[label="",style="dashed", color="magenta", weight=3]; 169 -> 69[label="",style="dashed", color="red", weight=0]; 169[label="xv300 == xv4000",fontsize=16,color="magenta"];169 -> 239[label="",style="dashed", color="magenta", weight=3]; 169 -> 240[label="",style="dashed", color="magenta", weight=3]; 170 -> 70[label="",style="dashed", color="red", weight=0]; 170[label="xv300 == xv4000",fontsize=16,color="magenta"];170 -> 241[label="",style="dashed", color="magenta", weight=3]; 170 -> 242[label="",style="dashed", color="magenta", weight=3]; 171 -> 71[label="",style="dashed", color="red", weight=0]; 171[label="xv300 == xv4000",fontsize=16,color="magenta"];171 -> 243[label="",style="dashed", color="magenta", weight=3]; 171 -> 244[label="",style="dashed", color="magenta", weight=3]; 172 -> 72[label="",style="dashed", color="red", weight=0]; 172[label="xv300 == xv4000",fontsize=16,color="magenta"];172 -> 245[label="",style="dashed", color="magenta", weight=3]; 172 -> 246[label="",style="dashed", color="magenta", weight=3]; 173 -> 59[label="",style="dashed", color="red", weight=0]; 173[label="xv300 == xv4000",fontsize=16,color="magenta"];173 -> 247[label="",style="dashed", color="magenta", weight=3]; 173 -> 248[label="",style="dashed", color="magenta", weight=3]; 174 -> 60[label="",style="dashed", color="red", weight=0]; 174[label="xv300 == xv4000",fontsize=16,color="magenta"];174 -> 249[label="",style="dashed", color="magenta", weight=3]; 174 -> 250[label="",style="dashed", color="magenta", weight=3]; 175 -> 61[label="",style="dashed", color="red", weight=0]; 175[label="xv300 == xv4000",fontsize=16,color="magenta"];175 -> 251[label="",style="dashed", color="magenta", weight=3]; 175 -> 252[label="",style="dashed", color="magenta", weight=3]; 176 -> 32[label="",style="dashed", color="red", weight=0]; 176[label="xv300 == xv4000",fontsize=16,color="magenta"];176 -> 253[label="",style="dashed", color="magenta", weight=3]; 176 -> 254[label="",style="dashed", color="magenta", weight=3]; 177 -> 63[label="",style="dashed", color="red", weight=0]; 177[label="xv300 == xv4000",fontsize=16,color="magenta"];177 -> 255[label="",style="dashed", color="magenta", weight=3]; 177 -> 256[label="",style="dashed", color="magenta", weight=3]; 178 -> 64[label="",style="dashed", color="red", weight=0]; 178[label="xv300 == xv4000",fontsize=16,color="magenta"];178 -> 257[label="",style="dashed", color="magenta", weight=3]; 178 -> 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194[label="primEqInt (Neg Zero) (Neg xv4000)",fontsize=16,color="burlywood",shape="box"];799[label="xv4000/Succ xv40000",fontsize=10,color="white",style="solid",shape="box"];194 -> 799[label="",style="solid", color="burlywood", weight=9]; 799 -> 287[label="",style="solid", color="burlywood", weight=3]; 800[label="xv4000/Zero",fontsize=10,color="white",style="solid",shape="box"];194 -> 800[label="",style="solid", color="burlywood", weight=9]; 800 -> 288[label="",style="solid", color="burlywood", weight=3]; 304[label="xv300 == xv4000",fontsize=16,color="blue",shape="box"];801[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];304 -> 801[label="",style="solid", color="blue", weight=9]; 801 -> 316[label="",style="solid", color="blue", weight=3]; 802[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];304 -> 802[label="",style="solid", color="blue", weight=9]; 802 -> 317[label="",style="solid", 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-> 807[label="",style="solid", color="blue", weight=9]; 807 -> 322[label="",style="solid", color="blue", weight=3]; 808[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];304 -> 808[label="",style="solid", color="blue", weight=9]; 808 -> 323[label="",style="solid", color="blue", weight=3]; 809[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];304 -> 809[label="",style="solid", color="blue", weight=9]; 809 -> 324[label="",style="solid", color="blue", weight=3]; 810[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];304 -> 810[label="",style="solid", color="blue", weight=9]; 810 -> 325[label="",style="solid", color="blue", weight=3]; 811[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];304 -> 811[label="",style="solid", color="blue", weight=9]; 811 -> 326[label="",style="solid", color="blue", weight=3]; 812[label="== :: 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335[label="",style="solid", color="blue", weight=3]; 821[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];305 -> 821[label="",style="solid", color="blue", weight=9]; 821 -> 336[label="",style="solid", color="blue", weight=3]; 822[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];305 -> 822[label="",style="solid", color="blue", weight=9]; 822 -> 337[label="",style="solid", color="blue", weight=3]; 823[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];305 -> 823[label="",style="solid", color="blue", weight=9]; 823 -> 338[label="",style="solid", color="blue", weight=3]; 824[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];305 -> 824[label="",style="solid", color="blue", weight=9]; 824 -> 339[label="",style="solid", color="blue", weight=3]; 825[label="== :: (Ratio a) -> (Ratio a) -> 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348[label="",style="solid", color="blue", weight=3]; 834[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];306 -> 834[label="",style="solid", color="blue", weight=9]; 834 -> 349[label="",style="solid", color="blue", weight=3]; 835[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];306 -> 835[label="",style="solid", color="blue", weight=9]; 835 -> 350[label="",style="solid", color="blue", weight=3]; 836[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];306 -> 836[label="",style="solid", color="blue", weight=9]; 836 -> 351[label="",style="solid", color="blue", weight=3]; 837[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];306 -> 837[label="",style="solid", color="blue", weight=9]; 837 -> 352[label="",style="solid", color="blue", weight=3]; 838[label="== :: Ordering -> Ordering -> 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357[label="",style="solid", color="blue", weight=3]; 843[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];306 -> 843[label="",style="solid", color="blue", weight=9]; 843 -> 358[label="",style="solid", color="blue", weight=3]; 844[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];306 -> 844[label="",style="solid", color="blue", weight=9]; 844 -> 359[label="",style="solid", color="blue", weight=3]; 307 -> 303[label="",style="dashed", color="red", weight=0]; 307[label="xv301 == xv4001 && xv302 == xv4002",fontsize=16,color="magenta"];307 -> 360[label="",style="dashed", color="magenta", weight=3]; 307 -> 361[label="",style="dashed", color="magenta", weight=3]; 216 -> 61[label="",style="dashed", color="red", weight=0]; 216[label="xv300 * xv4001 == xv301 * xv4000",fontsize=16,color="magenta"];216 -> 362[label="",style="dashed", color="magenta", weight=3]; 216 -> 363[label="",style="dashed", color="magenta", weight=3]; 308[label="xv300 == xv4000",fontsize=16,color="blue",shape="box"];845[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];308 -> 845[label="",style="solid", color="blue", weight=9]; 845 -> 364[label="",style="solid", color="blue", weight=3]; 846[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];308 -> 846[label="",style="solid", color="blue", weight=9]; 846 -> 365[label="",style="solid", color="blue", weight=3]; 309[label="xv301 == xv4001",fontsize=16,color="blue",shape="box"];847[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];309 -> 847[label="",style="solid", color="blue", weight=9]; 847 -> 366[label="",style="solid", color="blue", weight=3]; 848[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];309 -> 848[label="",style="solid", color="blue", weight=9]; 848 -> 367[label="",style="solid", color="blue", weight=3]; 310[label="xv300 == xv4000",fontsize=16,color="blue",shape="box"];849[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];310 -> 849[label="",style="solid", color="blue", weight=9]; 849 -> 368[label="",style="solid", color="blue", weight=3]; 850[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];310 -> 850[label="",style="solid", color="blue", weight=9]; 850 -> 369[label="",style="solid", color="blue", weight=3]; 851[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];310 -> 851[label="",style="solid", color="blue", weight=9]; 851 -> 370[label="",style="solid", color="blue", weight=3]; 852[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];310 -> 852[label="",style="solid", color="blue", weight=9]; 852 -> 371[label="",style="solid", color="blue", weight=3]; 853[label="== :: () -> () -> 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Bool",fontsize=10,color="white",style="solid",shape="box"];310 -> 862[label="",style="solid", color="blue", weight=9]; 862 -> 381[label="",style="solid", color="blue", weight=3]; 311 -> 70[label="",style="dashed", color="red", weight=0]; 311[label="xv301 == xv4001",fontsize=16,color="magenta"];311 -> 382[label="",style="dashed", color="magenta", weight=3]; 311 -> 383[label="",style="dashed", color="magenta", weight=3]; 217[label="primEqNat xv300 xv4000",fontsize=16,color="burlywood",shape="triangle"];863[label="xv300/Succ xv3000",fontsize=10,color="white",style="solid",shape="box"];217 -> 863[label="",style="solid", color="burlywood", weight=9]; 863 -> 384[label="",style="solid", color="burlywood", weight=3]; 864[label="xv300/Zero",fontsize=10,color="white",style="solid",shape="box"];217 -> 864[label="",style="solid", color="burlywood", weight=9]; 864 -> 385[label="",style="solid", color="burlywood", weight=3]; 218 -> 61[label="",style="dashed", color="red", weight=0]; 218[label="xv300 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219[label="xv300",fontsize=16,color="green",shape="box"];220[label="xv4000",fontsize=16,color="green",shape="box"];221[label="xv300",fontsize=16,color="green",shape="box"];222[label="xv4000",fontsize=16,color="green",shape="box"];223[label="xv300",fontsize=16,color="green",shape="box"];224[label="xv4000",fontsize=16,color="green",shape="box"];225[label="xv4000",fontsize=16,color="green",shape="box"];226[label="xv300",fontsize=16,color="green",shape="box"];227[label="xv300",fontsize=16,color="green",shape="box"];228[label="xv4000",fontsize=16,color="green",shape="box"];229[label="xv300",fontsize=16,color="green",shape="box"];230[label="xv4000",fontsize=16,color="green",shape="box"];231[label="xv300",fontsize=16,color="green",shape="box"];232[label="xv4000",fontsize=16,color="green",shape="box"];233[label="xv300",fontsize=16,color="green",shape="box"];234[label="xv4000",fontsize=16,color="green",shape="box"];235[label="xv300",fontsize=16,color="green",shape="box"];236[label="xv4000",fontsize=16,color="green",shape="box"];237[label="xv300",fontsize=16,color="green",shape="box"];238[label="xv4000",fontsize=16,color="green",shape="box"];239[label="xv300",fontsize=16,color="green",shape="box"];240[label="xv4000",fontsize=16,color="green",shape="box"];241[label="xv300",fontsize=16,color="green",shape="box"];242[label="xv4000",fontsize=16,color="green",shape="box"];243[label="xv300",fontsize=16,color="green",shape="box"];244[label="xv4000",fontsize=16,color="green",shape="box"];245[label="xv300",fontsize=16,color="green",shape="box"];246[label="xv4000",fontsize=16,color="green",shape="box"];247[label="xv300",fontsize=16,color="green",shape="box"];248[label="xv4000",fontsize=16,color="green",shape="box"];249[label="xv300",fontsize=16,color="green",shape="box"];250[label="xv4000",fontsize=16,color="green",shape="box"];251[label="xv300",fontsize=16,color="green",shape="box"];252[label="xv4000",fontsize=16,color="green",shape="box"];253[label="xv4000",fontsize=16,color="green",shape="box"];254[label="xv300",fontsize=16,color="green",shape="box"];255[label="xv300",fontsize=16,color="green",shape="box"];256[label="xv4000",fontsize=16,color="green",shape="box"];257[label="xv300",fontsize=16,color="green",shape="box"];258[label="xv4000",fontsize=16,color="green",shape="box"];259[label="xv300",fontsize=16,color="green",shape="box"];260[label="xv4000",fontsize=16,color="green",shape="box"];261[label="xv300",fontsize=16,color="green",shape="box"];262[label="xv4000",fontsize=16,color="green",shape="box"];263[label="xv300",fontsize=16,color="green",shape="box"];264[label="xv4000",fontsize=16,color="green",shape="box"];265[label="xv300",fontsize=16,color="green",shape="box"];266[label="xv4000",fontsize=16,color="green",shape="box"];267[label="xv300",fontsize=16,color="green",shape="box"];268[label="xv4000",fontsize=16,color="green",shape="box"];269[label="xv300",fontsize=16,color="green",shape="box"];270[label="xv4000",fontsize=16,color="green",shape="box"];271[label="xv300",fontsize=16,color="green",shape="box"];272[label="xv4000",fontsize=16,color="green",shape="box"];273[label="xv300",fontsize=16,color="green",shape="box"];274[label="xv4000",fontsize=16,color="green",shape="box"];275[label="primEqInt 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282[label="False",fontsize=16,color="green",shape="box"];283[label="primEqInt (Neg (Succ xv3000)) (Neg (Succ xv40000))",fontsize=16,color="black",shape="box"];283 -> 394[label="",style="solid", color="black", weight=3]; 284[label="primEqInt (Neg (Succ xv3000)) (Neg Zero)",fontsize=16,color="black",shape="box"];284 -> 395[label="",style="solid", color="black", weight=3]; 285[label="primEqInt (Neg Zero) (Pos (Succ xv40000))",fontsize=16,color="black",shape="box"];285 -> 396[label="",style="solid", color="black", weight=3]; 286[label="primEqInt (Neg Zero) (Pos Zero)",fontsize=16,color="black",shape="box"];286 -> 397[label="",style="solid", color="black", weight=3]; 287[label="primEqInt (Neg Zero) (Neg (Succ xv40000))",fontsize=16,color="black",shape="box"];287 -> 398[label="",style="solid", color="black", weight=3]; 288[label="primEqInt (Neg Zero) (Neg Zero)",fontsize=16,color="black",shape="box"];288 -> 399[label="",style="solid", color="black", weight=3]; 316 -> 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63[label="",style="dashed", color="red", weight=0]; 320[label="xv300 == xv4000",fontsize=16,color="magenta"];320 -> 408[label="",style="dashed", color="magenta", weight=3]; 320 -> 409[label="",style="dashed", color="magenta", weight=3]; 321 -> 64[label="",style="dashed", color="red", weight=0]; 321[label="xv300 == xv4000",fontsize=16,color="magenta"];321 -> 410[label="",style="dashed", color="magenta", weight=3]; 321 -> 411[label="",style="dashed", color="magenta", weight=3]; 322 -> 65[label="",style="dashed", color="red", weight=0]; 322[label="xv300 == xv4000",fontsize=16,color="magenta"];322 -> 412[label="",style="dashed", color="magenta", weight=3]; 322 -> 413[label="",style="dashed", color="magenta", weight=3]; 323 -> 66[label="",style="dashed", color="red", weight=0]; 323[label="xv300 == xv4000",fontsize=16,color="magenta"];323 -> 414[label="",style="dashed", color="magenta", weight=3]; 323 -> 415[label="",style="dashed", color="magenta", weight=3]; 324 -> 67[label="",style="dashed", color="red", weight=0]; 324[label="xv300 == xv4000",fontsize=16,color="magenta"];324 -> 416[label="",style="dashed", color="magenta", weight=3]; 324 -> 417[label="",style="dashed", color="magenta", weight=3]; 325 -> 68[label="",style="dashed", color="red", weight=0]; 325[label="xv300 == xv4000",fontsize=16,color="magenta"];325 -> 418[label="",style="dashed", color="magenta", weight=3]; 325 -> 419[label="",style="dashed", color="magenta", weight=3]; 326 -> 69[label="",style="dashed", color="red", weight=0]; 326[label="xv300 == xv4000",fontsize=16,color="magenta"];326 -> 420[label="",style="dashed", color="magenta", weight=3]; 326 -> 421[label="",style="dashed", color="magenta", weight=3]; 327 -> 70[label="",style="dashed", color="red", weight=0]; 327[label="xv300 == xv4000",fontsize=16,color="magenta"];327 -> 422[label="",style="dashed", color="magenta", weight=3]; 327 -> 423[label="",style="dashed", color="magenta", weight=3]; 328 -> 71[label="",style="dashed", color="red", weight=0]; 328[label="xv300 == xv4000",fontsize=16,color="magenta"];328 -> 424[label="",style="dashed", color="magenta", weight=3]; 328 -> 425[label="",style="dashed", color="magenta", weight=3]; 329 -> 72[label="",style="dashed", color="red", weight=0]; 329[label="xv300 == xv4000",fontsize=16,color="magenta"];329 -> 426[label="",style="dashed", color="magenta", weight=3]; 329 -> 427[label="",style="dashed", color="magenta", weight=3]; 330 -> 59[label="",style="dashed", color="red", weight=0]; 330[label="xv301 == xv4001",fontsize=16,color="magenta"];330 -> 428[label="",style="dashed", color="magenta", weight=3]; 330 -> 429[label="",style="dashed", color="magenta", weight=3]; 331 -> 60[label="",style="dashed", color="red", weight=0]; 331[label="xv301 == xv4001",fontsize=16,color="magenta"];331 -> 430[label="",style="dashed", color="magenta", weight=3]; 331 -> 431[label="",style="dashed", color="magenta", weight=3]; 332 -> 61[label="",style="dashed", color="red", weight=0]; 332[label="xv301 == xv4001",fontsize=16,color="magenta"];332 -> 432[label="",style="dashed", color="magenta", weight=3]; 332 -> 433[label="",style="dashed", color="magenta", weight=3]; 333 -> 32[label="",style="dashed", color="red", weight=0]; 333[label="xv301 == xv4001",fontsize=16,color="magenta"];333 -> 434[label="",style="dashed", color="magenta", weight=3]; 333 -> 435[label="",style="dashed", color="magenta", weight=3]; 334 -> 63[label="",style="dashed", color="red", weight=0]; 334[label="xv301 == xv4001",fontsize=16,color="magenta"];334 -> 436[label="",style="dashed", color="magenta", weight=3]; 334 -> 437[label="",style="dashed", color="magenta", weight=3]; 335 -> 64[label="",style="dashed", color="red", weight=0]; 335[label="xv301 == xv4001",fontsize=16,color="magenta"];335 -> 438[label="",style="dashed", color="magenta", weight=3]; 335 -> 439[label="",style="dashed", color="magenta", weight=3]; 336 -> 65[label="",style="dashed", color="red", weight=0]; 336[label="xv301 == xv4001",fontsize=16,color="magenta"];336 -> 440[label="",style="dashed", color="magenta", weight=3]; 336 -> 441[label="",style="dashed", color="magenta", weight=3]; 337 -> 66[label="",style="dashed", color="red", weight=0]; 337[label="xv301 == xv4001",fontsize=16,color="magenta"];337 -> 442[label="",style="dashed", color="magenta", weight=3]; 337 -> 443[label="",style="dashed", color="magenta", weight=3]; 338 -> 67[label="",style="dashed", color="red", weight=0]; 338[label="xv301 == xv4001",fontsize=16,color="magenta"];338 -> 444[label="",style="dashed", color="magenta", weight=3]; 338 -> 445[label="",style="dashed", color="magenta", weight=3]; 339 -> 68[label="",style="dashed", color="red", weight=0]; 339[label="xv301 == xv4001",fontsize=16,color="magenta"];339 -> 446[label="",style="dashed", color="magenta", weight=3]; 339 -> 447[label="",style="dashed", color="magenta", weight=3]; 340 -> 69[label="",style="dashed", color="red", weight=0]; 340[label="xv301 == xv4001",fontsize=16,color="magenta"];340 -> 448[label="",style="dashed", color="magenta", weight=3]; 340 -> 449[label="",style="dashed", color="magenta", weight=3]; 341 -> 70[label="",style="dashed", color="red", weight=0]; 341[label="xv301 == xv4001",fontsize=16,color="magenta"];341 -> 450[label="",style="dashed", color="magenta", weight=3]; 341 -> 451[label="",style="dashed", color="magenta", weight=3]; 342 -> 71[label="",style="dashed", color="red", weight=0]; 342[label="xv301 == xv4001",fontsize=16,color="magenta"];342 -> 452[label="",style="dashed", color="magenta", weight=3]; 342 -> 453[label="",style="dashed", color="magenta", weight=3]; 343 -> 72[label="",style="dashed", color="red", weight=0]; 343[label="xv301 == xv4001",fontsize=16,color="magenta"];343 -> 454[label="",style="dashed", color="magenta", weight=3]; 343 -> 455[label="",style="dashed", color="magenta", weight=3]; 344[label="False && 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353[label="xv300 == xv4000",fontsize=16,color="magenta"];353 -> 472[label="",style="dashed", color="magenta", weight=3]; 353 -> 473[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 -> 474[label="",style="dashed", color="magenta", weight=3]; 354 -> 475[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 -> 476[label="",style="dashed", color="magenta", weight=3]; 355 -> 477[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 -> 478[label="",style="dashed", color="magenta", weight=3]; 356 -> 479[label="",style="dashed", color="magenta", weight=3]; 357 -> 70[label="",style="dashed", color="red", weight=0]; 357[label="xv300 == 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491[label="",style="solid", color="blue", weight=3]; 871[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];360 -> 871[label="",style="solid", color="blue", weight=9]; 871 -> 492[label="",style="solid", color="blue", weight=3]; 872[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];360 -> 872[label="",style="solid", color="blue", weight=9]; 872 -> 493[label="",style="solid", color="blue", weight=3]; 873[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];360 -> 873[label="",style="solid", color="blue", weight=9]; 873 -> 494[label="",style="solid", color="blue", weight=3]; 874[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];360 -> 874[label="",style="solid", color="blue", weight=9]; 874 -> 495[label="",style="solid", color="blue", weight=3]; 875[label="== :: (Ratio a) -> (Ratio a) -> 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xv4001",fontsize=16,color="black",shape="triangle"];362 -> 514[label="",style="solid", color="black", weight=3]; 363 -> 362[label="",style="dashed", color="red", weight=0]; 363[label="xv301 * xv4000",fontsize=16,color="magenta"];363 -> 515[label="",style="dashed", color="magenta", weight=3]; 363 -> 516[label="",style="dashed", color="magenta", weight=3]; 364 -> 59[label="",style="dashed", color="red", weight=0]; 364[label="xv300 == xv4000",fontsize=16,color="magenta"];364 -> 517[label="",style="dashed", color="magenta", weight=3]; 364 -> 518[label="",style="dashed", color="magenta", weight=3]; 365 -> 61[label="",style="dashed", color="red", weight=0]; 365[label="xv300 == xv4000",fontsize=16,color="magenta"];365 -> 519[label="",style="dashed", color="magenta", weight=3]; 365 -> 520[label="",style="dashed", color="magenta", weight=3]; 366 -> 59[label="",style="dashed", color="red", weight=0]; 366[label="xv301 == xv4001",fontsize=16,color="magenta"];366 -> 521[label="",style="dashed", color="magenta", weight=3]; 366 -> 522[label="",style="dashed", color="magenta", weight=3]; 367 -> 61[label="",style="dashed", color="red", weight=0]; 367[label="xv301 == xv4001",fontsize=16,color="magenta"];367 -> 523[label="",style="dashed", color="magenta", weight=3]; 367 -> 524[label="",style="dashed", color="magenta", weight=3]; 368 -> 59[label="",style="dashed", color="red", weight=0]; 368[label="xv300 == xv4000",fontsize=16,color="magenta"];368 -> 525[label="",style="dashed", color="magenta", weight=3]; 368 -> 526[label="",style="dashed", color="magenta", weight=3]; 369 -> 60[label="",style="dashed", color="red", weight=0]; 369[label="xv300 == xv4000",fontsize=16,color="magenta"];369 -> 527[label="",style="dashed", color="magenta", weight=3]; 369 -> 528[label="",style="dashed", color="magenta", weight=3]; 370 -> 61[label="",style="dashed", color="red", weight=0]; 370[label="xv300 == xv4000",fontsize=16,color="magenta"];370 -> 529[label="",style="dashed", color="magenta", weight=3]; 370 -> 530[label="",style="dashed", color="magenta", weight=3]; 371 -> 32[label="",style="dashed", color="red", weight=0]; 371[label="xv300 == xv4000",fontsize=16,color="magenta"];371 -> 531[label="",style="dashed", color="magenta", weight=3]; 371 -> 532[label="",style="dashed", color="magenta", weight=3]; 372 -> 63[label="",style="dashed", color="red", weight=0]; 372[label="xv300 == xv4000",fontsize=16,color="magenta"];372 -> 533[label="",style="dashed", color="magenta", weight=3]; 372 -> 534[label="",style="dashed", color="magenta", weight=3]; 373 -> 64[label="",style="dashed", color="red", weight=0]; 373[label="xv300 == xv4000",fontsize=16,color="magenta"];373 -> 535[label="",style="dashed", color="magenta", weight=3]; 373 -> 536[label="",style="dashed", color="magenta", weight=3]; 374 -> 65[label="",style="dashed", color="red", weight=0]; 374[label="xv300 == xv4000",fontsize=16,color="magenta"];374 -> 537[label="",style="dashed", color="magenta", weight=3]; 374 -> 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546[label="",style="dashed", color="magenta", weight=3]; 379 -> 70[label="",style="dashed", color="red", weight=0]; 379[label="xv300 == xv4000",fontsize=16,color="magenta"];379 -> 547[label="",style="dashed", color="magenta", weight=3]; 379 -> 548[label="",style="dashed", color="magenta", weight=3]; 380 -> 71[label="",style="dashed", color="red", weight=0]; 380[label="xv300 == xv4000",fontsize=16,color="magenta"];380 -> 549[label="",style="dashed", color="magenta", weight=3]; 380 -> 550[label="",style="dashed", color="magenta", weight=3]; 381 -> 72[label="",style="dashed", color="red", weight=0]; 381[label="xv300 == xv4000",fontsize=16,color="magenta"];381 -> 551[label="",style="dashed", color="magenta", weight=3]; 381 -> 552[label="",style="dashed", color="magenta", weight=3]; 382[label="xv301",fontsize=16,color="green",shape="box"];383[label="xv4001",fontsize=16,color="green",shape="box"];384[label="primEqNat (Succ xv3000) 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389[label="False",fontsize=16,color="green",shape="box"];390[label="False",fontsize=16,color="green",shape="box"];391[label="True",fontsize=16,color="green",shape="box"];392[label="False",fontsize=16,color="green",shape="box"];393[label="True",fontsize=16,color="green",shape="box"];394 -> 217[label="",style="dashed", color="red", weight=0]; 394[label="primEqNat xv3000 xv40000",fontsize=16,color="magenta"];394 -> 563[label="",style="dashed", color="magenta", weight=3]; 394 -> 564[label="",style="dashed", color="magenta", weight=3]; 395[label="False",fontsize=16,color="green",shape="box"];396[label="False",fontsize=16,color="green",shape="box"];397[label="True",fontsize=16,color="green",shape="box"];398[label="False",fontsize=16,color="green",shape="box"];399[label="True",fontsize=16,color="green",shape="box"];400[label="xv300",fontsize=16,color="green",shape="box"];401[label="xv4000",fontsize=16,color="green",shape="box"];402[label="xv300",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="xv4000",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="xv300",fontsize=16,color="green",shape="box"];409[label="xv4000",fontsize=16,color="green",shape="box"];410[label="xv300",fontsize=16,color="green",shape="box"];411[label="xv4000",fontsize=16,color="green",shape="box"];412[label="xv300",fontsize=16,color="green",shape="box"];413[label="xv4000",fontsize=16,color="green",shape="box"];414[label="xv300",fontsize=16,color="green",shape="box"];415[label="xv4000",fontsize=16,color="green",shape="box"];416[label="xv300",fontsize=16,color="green",shape="box"];417[label="xv4000",fontsize=16,color="green",shape="box"];418[label="xv300",fontsize=16,color="green",shape="box"];419[label="xv4000",fontsize=16,color="green",shape="box"];420[label="xv300",fontsize=16,color="green",shape="box"];421[label="xv4000",fontsize=16,color="green",shape="box"];422[label="xv300",fontsize=16,color="green",shape="box"];423[label="xv4000",fontsize=16,color="green",shape="box"];424[label="xv300",fontsize=16,color="green",shape="box"];425[label="xv4000",fontsize=16,color="green",shape="box"];426[label="xv300",fontsize=16,color="green",shape="box"];427[label="xv4000",fontsize=16,color="green",shape="box"];428[label="xv301",fontsize=16,color="green",shape="box"];429[label="xv4001",fontsize=16,color="green",shape="box"];430[label="xv301",fontsize=16,color="green",shape="box"];431[label="xv4001",fontsize=16,color="green",shape="box"];432[label="xv301",fontsize=16,color="green",shape="box"];433[label="xv4001",fontsize=16,color="green",shape="box"];434[label="xv4001",fontsize=16,color="green",shape="box"];435[label="xv301",fontsize=16,color="green",shape="box"];436[label="xv301",fontsize=16,color="green",shape="box"];437[label="xv4001",fontsize=16,color="green",shape="box"];438[label="xv301",fontsize=16,color="green",shape="box"];439[label="xv4001",fontsize=16,color="green",shape="box"];440[label="xv301",fontsize=16,color="green",shape="box"];441[label="xv4001",fontsize=16,color="green",shape="box"];442[label="xv301",fontsize=16,color="green",shape="box"];443[label="xv4001",fontsize=16,color="green",shape="box"];444[label="xv301",fontsize=16,color="green",shape="box"];445[label="xv4001",fontsize=16,color="green",shape="box"];446[label="xv301",fontsize=16,color="green",shape="box"];447[label="xv4001",fontsize=16,color="green",shape="box"];448[label="xv301",fontsize=16,color="green",shape="box"];449[label="xv4001",fontsize=16,color="green",shape="box"];450[label="xv301",fontsize=16,color="green",shape="box"];451[label="xv4001",fontsize=16,color="green",shape="box"];452[label="xv301",fontsize=16,color="green",shape="box"];453[label="xv4001",fontsize=16,color="green",shape="box"];454[label="xv301",fontsize=16,color="green",shape="box"];455[label="xv4001",fontsize=16,color="green",shape="box"];456[label="False",fontsize=16,color="green",shape="box"];457[label="xv23",fontsize=16,color="green",shape="box"];458[label="xv300",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="xv4000",fontsize=16,color="green",shape="box"];462[label="xv300",fontsize=16,color="green",shape="box"];463[label="xv4000",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="xv300",fontsize=16,color="green",shape="box"];467[label="xv4000",fontsize=16,color="green",shape="box"];468[label="xv300",fontsize=16,color="green",shape="box"];469[label="xv4000",fontsize=16,color="green",shape="box"];470[label="xv300",fontsize=16,color="green",shape="box"];471[label="xv4000",fontsize=16,color="green",shape="box"];472[label="xv300",fontsize=16,color="green",shape="box"];473[label="xv4000",fontsize=16,color="green",shape="box"];474[label="xv300",fontsize=16,color="green",shape="box"];475[label="xv4000",fontsize=16,color="green",shape="box"];476[label="xv300",fontsize=16,color="green",shape="box"];477[label="xv4000",fontsize=16,color="green",shape="box"];478[label="xv300",fontsize=16,color="green",shape="box"];479[label="xv4000",fontsize=16,color="green",shape="box"];480[label="xv300",fontsize=16,color="green",shape="box"];481[label="xv4000",fontsize=16,color="green",shape="box"];482[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69[label="",style="dashed", color="red", weight=0]; 510[label="xv302 == xv4002",fontsize=16,color="magenta"];510 -> 613[label="",style="dashed", color="magenta", weight=3]; 510 -> 614[label="",style="dashed", color="magenta", weight=3]; 511 -> 70[label="",style="dashed", color="red", weight=0]; 511[label="xv302 == xv4002",fontsize=16,color="magenta"];511 -> 615[label="",style="dashed", color="magenta", weight=3]; 511 -> 616[label="",style="dashed", color="magenta", weight=3]; 512 -> 71[label="",style="dashed", color="red", weight=0]; 512[label="xv302 == xv4002",fontsize=16,color="magenta"];512 -> 617[label="",style="dashed", color="magenta", weight=3]; 512 -> 618[label="",style="dashed", color="magenta", weight=3]; 513 -> 72[label="",style="dashed", color="red", weight=0]; 513[label="xv302 == xv4002",fontsize=16,color="magenta"];513 -> 619[label="",style="dashed", color="magenta", weight=3]; 513 -> 620[label="",style="dashed", color="magenta", weight=3]; 514[label="primMulInt xv300 xv4001",fontsize=16,color="burlywood",shape="box"];897[label="xv300/Pos xv3000",fontsize=10,color="white",style="solid",shape="box"];514 -> 897[label="",style="solid", color="burlywood", weight=9]; 897 -> 621[label="",style="solid", color="burlywood", weight=3]; 898[label="xv300/Neg xv3000",fontsize=10,color="white",style="solid",shape="box"];514 -> 898[label="",style="solid", color="burlywood", weight=9]; 898 -> 622[label="",style="solid", color="burlywood", weight=3]; 515[label="xv301",fontsize=16,color="green",shape="box"];516[label="xv4000",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="xv301",fontsize=16,color="green",shape="box"];522[label="xv4001",fontsize=16,color="green",shape="box"];523[label="xv301",fontsize=16,color="green",shape="box"];524[label="xv4001",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[label="xv4000",fontsize=16,color="green",shape="box"];532[label="xv300",fontsize=16,color="green",shape="box"];533[label="xv300",fontsize=16,color="green",shape="box"];534[label="xv4000",fontsize=16,color="green",shape="box"];535[label="xv300",fontsize=16,color="green",shape="box"];536[label="xv4000",fontsize=16,color="green",shape="box"];537[label="xv300",fontsize=16,color="green",shape="box"];538[label="xv4000",fontsize=16,color="green",shape="box"];539[label="xv300",fontsize=16,color="green",shape="box"];540[label="xv4000",fontsize=16,color="green",shape="box"];541[label="xv300",fontsize=16,color="green",shape="box"];542[label="xv4000",fontsize=16,color="green",shape="box"];543[label="xv300",fontsize=16,color="green",shape="box"];544[label="xv4000",fontsize=16,color="green",shape="box"];545[label="xv300",fontsize=16,color="green",shape="box"];546[label="xv4000",fontsize=16,color="green",shape="box"];547[label="xv300",fontsize=16,color="green",shape="box"];548[label="xv4000",fontsize=16,color="green",shape="box"];549[label="xv300",fontsize=16,color="green",shape="box"];550[label="xv4000",fontsize=16,color="green",shape="box"];551[label="xv300",fontsize=16,color="green",shape="box"];552[label="xv4000",fontsize=16,color="green",shape="box"];553[label="primEqNat (Succ xv3000) (Succ xv40000)",fontsize=16,color="black",shape="box"];553 -> 623[label="",style="solid", color="black", weight=3]; 554[label="primEqNat (Succ xv3000) Zero",fontsize=16,color="black",shape="box"];554 -> 624[label="",style="solid", color="black", weight=3]; 555[label="primEqNat Zero (Succ xv40000)",fontsize=16,color="black",shape="box"];555 -> 625[label="",style="solid", color="black", weight=3]; 556[label="primEqNat Zero Zero",fontsize=16,color="black",shape="box"];556 -> 626[label="",style="solid", color="black", weight=3]; 557[label="xv300",fontsize=16,color="green",shape="box"];558[label="xv4001",fontsize=16,color="green",shape="box"];559[label="xv301",fontsize=16,color="green",shape="box"];560[label="xv4000",fontsize=16,color="green",shape="box"];561[label="xv40000",fontsize=16,color="green",shape="box"];562[label="xv3000",fontsize=16,color="green",shape="box"];563[label="xv40000",fontsize=16,color="green",shape="box"];564[label="xv3000",fontsize=16,color="green",shape="box"];565[label="xv301",fontsize=16,color="green",shape="box"];566[label="xv4001",fontsize=16,color="green",shape="box"];567[label="xv301",fontsize=16,color="green",shape="box"];568[label="xv4001",fontsize=16,color="green",shape="box"];569[label="xv301",fontsize=16,color="green",shape="box"];570[label="xv4001",fontsize=16,color="green",shape="box"];571[label="xv4001",fontsize=16,color="green",shape="box"];572[label="xv301",fontsize=16,color="green",shape="box"];573[label="xv301",fontsize=16,color="green",shape="box"];574[label="xv4001",fontsize=16,color="green",shape="box"];575[label="xv301",fontsize=16,color="green",shape="box"];576[label="xv4001",fontsize=16,color="green",shape="box"];577[label="xv301",fontsize=16,color="green",shape="box"];578[label="xv4001",fontsize=16,color="green",shape="box"];579[label="xv301",fontsize=16,color="green",shape="box"];580[label="xv4001",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="xv302",fontsize=16,color="green",shape="box"];594[label="xv4002",fontsize=16,color="green",shape="box"];595[label="xv302",fontsize=16,color="green",shape="box"];596[label="xv4002",fontsize=16,color="green",shape="box"];597[label="xv302",fontsize=16,color="green",shape="box"];598[label="xv4002",fontsize=16,color="green",shape="box"];599[label="xv4002",fontsize=16,color="green",shape="box"];600[label="xv302",fontsize=16,color="green",shape="box"];601[label="xv302",fontsize=16,color="green",shape="box"];602[label="xv4002",fontsize=16,color="green",shape="box"];603[label="xv302",fontsize=16,color="green",shape="box"];604[label="xv4002",fontsize=16,color="green",shape="box"];605[label="xv302",fontsize=16,color="green",shape="box"];606[label="xv4002",fontsize=16,color="green",shape="box"];607[label="xv302",fontsize=16,color="green",shape="box"];608[label="xv4002",fontsize=16,color="green",shape="box"];609[label="xv302",fontsize=16,color="green",shape="box"];610[label="xv4002",fontsize=16,color="green",shape="box"];611[label="xv302",fontsize=16,color="green",shape="box"];612[label="xv4002",fontsize=16,color="green",shape="box"];613[label="xv302",fontsize=16,color="green",shape="box"];614[label="xv4002",fontsize=16,color="green",shape="box"];615[label="xv302",fontsize=16,color="green",shape="box"];616[label="xv4002",fontsize=16,color="green",shape="box"];617[label="xv302",fontsize=16,color="green",shape="box"];618[label="xv4002",fontsize=16,color="green",shape="box"];619[label="xv302",fontsize=16,color="green",shape="box"];620[label="xv4002",fontsize=16,color="green",shape="box"];621[label="primMulInt (Pos xv3000) xv4001",fontsize=16,color="burlywood",shape="box"];899[label="xv4001/Pos xv40010",fontsize=10,color="white",style="solid",shape="box"];621 -> 899[label="",style="solid", color="burlywood", weight=9]; 899 -> 627[label="",style="solid", color="burlywood", weight=3]; 900[label="xv4001/Neg xv40010",fontsize=10,color="white",style="solid",shape="box"];621 -> 900[label="",style="solid", color="burlywood", weight=9]; 900 -> 628[label="",style="solid", color="burlywood", weight=3]; 622[label="primMulInt (Neg xv3000) xv4001",fontsize=16,color="burlywood",shape="box"];901[label="xv4001/Pos xv40010",fontsize=10,color="white",style="solid",shape="box"];622 -> 901[label="",style="solid", color="burlywood", weight=9]; 901 -> 629[label="",style="solid", color="burlywood", weight=3]; 902[label="xv4001/Neg xv40010",fontsize=10,color="white",style="solid",shape="box"];622 -> 902[label="",style="solid", color="burlywood", weight=9]; 902 -> 630[label="",style="solid", color="burlywood", weight=3]; 623 -> 217[label="",style="dashed", color="red", weight=0]; 623[label="primEqNat xv3000 xv40000",fontsize=16,color="magenta"];623 -> 631[label="",style="dashed", color="magenta", weight=3]; 623 -> 632[label="",style="dashed", color="magenta", weight=3]; 624[label="False",fontsize=16,color="green",shape="box"];625[label="False",fontsize=16,color="green",shape="box"];626[label="True",fontsize=16,color="green",shape="box"];627[label="primMulInt (Pos xv3000) (Pos xv40010)",fontsize=16,color="black",shape="box"];627 -> 633[label="",style="solid", color="black", weight=3]; 628[label="primMulInt (Pos xv3000) (Neg xv40010)",fontsize=16,color="black",shape="box"];628 -> 634[label="",style="solid", color="black", weight=3]; 629[label="primMulInt (Neg xv3000) (Pos xv40010)",fontsize=16,color="black",shape="box"];629 -> 635[label="",style="solid", color="black", weight=3]; 630[label="primMulInt (Neg xv3000) (Neg xv40010)",fontsize=16,color="black",shape="box"];630 -> 636[label="",style="solid", color="black", weight=3]; 631[label="xv40000",fontsize=16,color="green",shape="box"];632[label="xv3000",fontsize=16,color="green",shape="box"];633[label="Pos (primMulNat xv3000 xv40010)",fontsize=16,color="green",shape="box"];633 -> 637[label="",style="dashed", color="green", weight=3]; 634[label="Neg (primMulNat xv3000 xv40010)",fontsize=16,color="green",shape="box"];634 -> 638[label="",style="dashed", color="green", weight=3]; 635[label="Neg (primMulNat xv3000 xv40010)",fontsize=16,color="green",shape="box"];635 -> 639[label="",style="dashed", color="green", weight=3]; 636[label="Pos (primMulNat xv3000 xv40010)",fontsize=16,color="green",shape="box"];636 -> 640[label="",style="dashed", color="green", weight=3]; 637[label="primMulNat xv3000 xv40010",fontsize=16,color="burlywood",shape="triangle"];903[label="xv3000/Succ xv30000",fontsize=10,color="white",style="solid",shape="box"];637 -> 903[label="",style="solid", color="burlywood", weight=9]; 903 -> 641[label="",style="solid", color="burlywood", weight=3]; 904[label="xv3000/Zero",fontsize=10,color="white",style="solid",shape="box"];637 -> 904[label="",style="solid", color="burlywood", weight=9]; 904 -> 642[label="",style="solid", color="burlywood", weight=3]; 638 -> 637[label="",style="dashed", color="red", weight=0]; 638[label="primMulNat xv3000 xv40010",fontsize=16,color="magenta"];638 -> 643[label="",style="dashed", color="magenta", weight=3]; 639 -> 637[label="",style="dashed", color="red", weight=0]; 639[label="primMulNat xv3000 xv40010",fontsize=16,color="magenta"];639 -> 644[label="",style="dashed", color="magenta", weight=3]; 640 -> 637[label="",style="dashed", color="red", weight=0]; 640[label="primMulNat xv3000 xv40010",fontsize=16,color="magenta"];640 -> 645[label="",style="dashed", color="magenta", weight=3]; 640 -> 646[label="",style="dashed", color="magenta", weight=3]; 641[label="primMulNat (Succ xv30000) xv40010",fontsize=16,color="burlywood",shape="box"];905[label="xv40010/Succ xv400100",fontsize=10,color="white",style="solid",shape="box"];641 -> 905[label="",style="solid", color="burlywood", weight=9]; 905 -> 647[label="",style="solid", color="burlywood", weight=3]; 906[label="xv40010/Zero",fontsize=10,color="white",style="solid",shape="box"];641 -> 906[label="",style="solid", color="burlywood", weight=9]; 906 -> 648[label="",style="solid", color="burlywood", weight=3]; 642[label="primMulNat Zero xv40010",fontsize=16,color="burlywood",shape="box"];907[label="xv40010/Succ xv400100",fontsize=10,color="white",style="solid",shape="box"];642 -> 907[label="",style="solid", color="burlywood", weight=9]; 907 -> 649[label="",style="solid", color="burlywood", weight=3]; 908[label="xv40010/Zero",fontsize=10,color="white",style="solid",shape="box"];642 -> 908[label="",style="solid", color="burlywood", weight=9]; 908 -> 650[label="",style="solid", color="burlywood", weight=3]; 643[label="xv40010",fontsize=16,color="green",shape="box"];644[label="xv3000",fontsize=16,color="green",shape="box"];645[label="xv3000",fontsize=16,color="green",shape="box"];646[label="xv40010",fontsize=16,color="green",shape="box"];647[label="primMulNat (Succ xv30000) (Succ xv400100)",fontsize=16,color="black",shape="box"];647 -> 651[label="",style="solid", color="black", weight=3]; 648[label="primMulNat (Succ xv30000) Zero",fontsize=16,color="black",shape="box"];648 -> 652[label="",style="solid", color="black", weight=3]; 649[label="primMulNat Zero (Succ xv400100)",fontsize=16,color="black",shape="box"];649 -> 653[label="",style="solid", color="black", weight=3]; 650[label="primMulNat Zero Zero",fontsize=16,color="black",shape="box"];650 -> 654[label="",style="solid", color="black", weight=3]; 651 -> 655[label="",style="dashed", color="red", weight=0]; 651[label="primPlusNat (primMulNat xv30000 (Succ xv400100)) (Succ xv400100)",fontsize=16,color="magenta"];651 -> 656[label="",style="dashed", color="magenta", weight=3]; 652[label="Zero",fontsize=16,color="green",shape="box"];653[label="Zero",fontsize=16,color="green",shape="box"];654[label="Zero",fontsize=16,color="green",shape="box"];656 -> 637[label="",style="dashed", color="red", weight=0]; 656[label="primMulNat xv30000 (Succ xv400100)",fontsize=16,color="magenta"];656 -> 657[label="",style="dashed", color="magenta", weight=3]; 656 -> 658[label="",style="dashed", color="magenta", weight=3]; 655[label="primPlusNat xv24 (Succ xv400100)",fontsize=16,color="burlywood",shape="triangle"];909[label="xv24/Succ xv240",fontsize=10,color="white",style="solid",shape="box"];655 -> 909[label="",style="solid", color="burlywood", weight=9]; 909 -> 659[label="",style="solid", color="burlywood", weight=3]; 910[label="xv24/Zero",fontsize=10,color="white",style="solid",shape="box"];655 -> 910[label="",style="solid", color="burlywood", weight=9]; 910 -> 660[label="",style="solid", color="burlywood", weight=3]; 657[label="xv30000",fontsize=16,color="green",shape="box"];658[label="Succ xv400100",fontsize=16,color="green",shape="box"];659[label="primPlusNat (Succ xv240) (Succ xv400100)",fontsize=16,color="black",shape="box"];659 -> 661[label="",style="solid", color="black", weight=3]; 660[label="primPlusNat Zero (Succ xv400100)",fontsize=16,color="black",shape="box"];660 -> 662[label="",style="solid", color="black", weight=3]; 661[label="Succ (Succ (primPlusNat xv240 xv400100))",fontsize=16,color="green",shape="box"];661 -> 663[label="",style="dashed", color="green", weight=3]; 662[label="Succ xv400100",fontsize=16,color="green",shape="box"];663[label="primPlusNat xv240 xv400100",fontsize=16,color="burlywood",shape="triangle"];911[label="xv240/Succ xv2400",fontsize=10,color="white",style="solid",shape="box"];663 -> 911[label="",style="solid", color="burlywood", weight=9]; 911 -> 664[label="",style="solid", color="burlywood", weight=3]; 912[label="xv240/Zero",fontsize=10,color="white",style="solid",shape="box"];663 -> 912[label="",style="solid", color="burlywood", weight=9]; 912 -> 665[label="",style="solid", color="burlywood", weight=3]; 664[label="primPlusNat (Succ xv2400) xv400100",fontsize=16,color="burlywood",shape="box"];913[label="xv400100/Succ xv4001000",fontsize=10,color="white",style="solid",shape="box"];664 -> 913[label="",style="solid", color="burlywood", weight=9]; 913 -> 666[label="",style="solid", color="burlywood", weight=3]; 914[label="xv400100/Zero",fontsize=10,color="white",style="solid",shape="box"];664 -> 914[label="",style="solid", color="burlywood", weight=9]; 914 -> 667[label="",style="solid", color="burlywood", weight=3]; 665[label="primPlusNat Zero xv400100",fontsize=16,color="burlywood",shape="box"];915[label="xv400100/Succ xv4001000",fontsize=10,color="white",style="solid",shape="box"];665 -> 915[label="",style="solid", color="burlywood", weight=9]; 915 -> 668[label="",style="solid", color="burlywood", weight=3]; 916[label="xv400100/Zero",fontsize=10,color="white",style="solid",shape="box"];665 -> 916[label="",style="solid", color="burlywood", weight=9]; 916 -> 669[label="",style="solid", color="burlywood", weight=3]; 666[label="primPlusNat (Succ xv2400) (Succ xv4001000)",fontsize=16,color="black",shape="box"];666 -> 670[label="",style="solid", color="black", weight=3]; 667[label="primPlusNat (Succ xv2400) Zero",fontsize=16,color="black",shape="box"];667 -> 671[label="",style="solid", color="black", weight=3]; 668[label="primPlusNat Zero (Succ xv4001000)",fontsize=16,color="black",shape="box"];668 -> 672[label="",style="solid", color="black", weight=3]; 669[label="primPlusNat Zero Zero",fontsize=16,color="black",shape="box"];669 -> 673[label="",style="solid", color="black", weight=3]; 670[label="Succ (Succ (primPlusNat xv2400 xv4001000))",fontsize=16,color="green",shape="box"];670 -> 674[label="",style="dashed", color="green", weight=3]; 671[label="Succ xv2400",fontsize=16,color="green",shape="box"];672[label="Succ xv4001000",fontsize=16,color="green",shape="box"];673[label="Zero",fontsize=16,color="green",shape="box"];674 -> 663[label="",style="dashed", color="red", weight=0]; 674[label="primPlusNat xv2400 xv4001000",fontsize=16,color="magenta"];674 -> 675[label="",style="dashed", color="magenta", weight=3]; 674 -> 676[label="",style="dashed", color="magenta", weight=3]; 675[label="xv2400",fontsize=16,color="green",shape="box"];676[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) -> new_foldr(xv3, xv41, h) 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) -> new_foldr(xv3, xv41, h) The graph contains the following edges 1 >= 1, 2 > 2, 3 >= 3 ---------------------------------------- (9) YES ---------------------------------------- (10) Obligation: Q DP problem: The TRS P consists of the following rules: new_primMulNat(Succ(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_esEs2(@3(xv300, xv301, xv302), @3(xv4000, xv4001, xv4002), hf, app(app(ty_@2, bab), bac), gf) -> new_esEs1(xv301, xv4001, bab, bac) new_esEs0(Just(@3(xv300, xv301, xv302)), Just(@3(xv4000, xv4001, xv4002)), app(app(app(ty_@3, hf), ge), app(ty_[], bbh))) -> new_esEs3(xv302, xv4002, bbh) new_esEs0(Just(:(xv300, xv301)), Just(:(xv4000, xv4001)), app(ty_[], app(app(app(ty_@3, bcf), bcg), bch))) -> new_esEs2(xv300, xv4000, bcf, bcg, bch) new_esEs3(:(xv300, xv301), :(xv4000, xv4001), app(app(ty_Either, bca), bcb)) -> new_esEs(xv300, xv4000, bca, bcb) new_esEs(Right(xv300), Right(xv4000), cb, app(ty_Maybe, ce)) -> new_esEs0(xv300, xv4000, ce) new_esEs0(Just(@3(xv300, xv301, xv302)), Just(@3(xv4000, xv4001, xv4002)), app(app(app(ty_@3, hf), app(ty_Maybe, baa)), gf)) -> new_esEs0(xv301, xv4001, baa) new_esEs(Left(xv300), Left(xv4000), app(app(app(ty_@3, bf), bg), bh), bb) -> new_esEs2(xv300, xv4000, bf, bg, bh) new_esEs0(Just(Left(xv300)), Just(Left(xv4000)), app(app(ty_Either, app(app(ty_Either, h), ba)), bb)) -> new_esEs(xv300, xv4000, h, ba) new_esEs0(Just(@2(xv300, xv301)), Just(@2(xv4000, xv4001)), app(app(ty_@2, eh), app(app(ty_Either, fa), fb))) -> new_esEs(xv301, xv4001, fa, fb) new_esEs0(Just(@3(xv300, xv301, xv302)), Just(@3(xv4000, xv4001, xv4002)), app(app(app(ty_@3, hf), app(ty_[], bag)), gf)) -> new_esEs3(xv301, xv4001, bag) new_esEs0(Just(@2(xv300, xv301)), Just(@2(xv4000, xv4001)), app(app(ty_@2, eh), app(app(ty_@2, fd), ff))) -> new_esEs1(xv301, xv4001, fd, ff) new_esEs(Left(xv300), Left(xv4000), app(app(ty_@2, bd), be), bb) -> new_esEs1(xv300, xv4000, bd, be) new_esEs1(@2(xv300, xv301), @2(xv4000, xv4001), app(ty_[], eg), dh) -> new_esEs3(xv300, xv4000, eg) new_esEs2(@3(xv300, xv301, xv302), @3(xv4000, xv4001, xv4002), hf, app(app(app(ty_@3, bad), bae), baf), gf) -> new_esEs2(xv301, xv4001, bad, bae, baf) new_esEs2(@3(xv300, xv301, xv302), @3(xv4000, xv4001, xv4002), app(app(app(ty_@3, hb), hc), hd), ge, gf) -> new_esEs2(xv300, xv4000, hb, hc, hd) new_esEs3(:(xv300, xv301), :(xv4000, xv4001), app(app(ty_@2, bcd), bce)) -> new_esEs1(xv300, xv4000, bcd, bce) new_esEs0(Just(@2(xv300, xv301)), Just(@2(xv4000, xv4001)), app(app(ty_@2, app(app(app(ty_@3, ed), ee), ef)), dh)) -> new_esEs2(xv300, xv4000, ed, ee, ef) new_esEs1(@2(xv300, xv301), @2(xv4000, xv4001), eh, app(ty_[], gb)) -> new_esEs3(xv301, xv4001, gb) new_esEs2(@3(xv300, xv301, xv302), @3(xv4000, xv4001, xv4002), hf, app(app(ty_Either, hg), hh), gf) -> new_esEs(xv301, xv4001, hg, hh) new_esEs0(Just(@2(xv300, xv301)), Just(@2(xv4000, xv4001)), app(app(ty_@2, app(app(ty_Either, df), dg)), dh)) -> new_esEs(xv300, xv4000, df, dg) new_esEs(Right(xv300), Right(xv4000), cb, app(app(app(ty_@3, da), db), dc)) -> new_esEs2(xv300, xv4000, da, db, dc) new_esEs0(Just(@3(xv300, xv301, xv302)), Just(@3(xv4000, xv4001, xv4002)), app(app(app(ty_@3, app(ty_[], he)), ge), gf)) -> new_esEs3(xv300, xv4000, he) new_esEs0(Just(@2(xv300, xv301)), Just(@2(xv4000, xv4001)), app(app(ty_@2, eh), app(app(app(ty_@3, fg), fh), ga))) -> new_esEs2(xv301, xv4001, fg, fh, ga) new_esEs0(Just(Right(xv300)), Just(Right(xv4000)), app(app(ty_Either, cb), app(ty_[], dd))) -> new_esEs3(xv300, xv4000, dd) new_esEs2(@3(xv300, xv301, xv302), @3(xv4000, xv4001, xv4002), hf, ge, app(ty_Maybe, bbb)) -> new_esEs0(xv302, xv4002, bbb) new_esEs2(@3(xv300, xv301, xv302), @3(xv4000, xv4001, xv4002), app(ty_[], he), ge, gf) -> new_esEs3(xv300, xv4000, he) new_esEs3(:(xv300, xv301), :(xv4000, xv4001), app(app(app(ty_@3, bcf), bcg), bch)) -> new_esEs2(xv300, xv4000, bcf, bcg, bch) new_esEs0(Just(@3(xv300, xv301, xv302)), Just(@3(xv4000, xv4001, xv4002)), app(app(app(ty_@3, app(app(app(ty_@3, hb), hc), hd)), ge), gf)) -> new_esEs2(xv300, xv4000, hb, hc, hd) new_esEs3(:(xv300, xv301), :(xv4000, xv4001), app(ty_Maybe, bcc)) -> new_esEs0(xv300, xv4000, bcc) new_esEs(Left(xv300), Left(xv4000), app(ty_Maybe, bc), bb) -> new_esEs0(xv300, xv4000, bc) new_esEs1(@2(xv300, xv301), @2(xv4000, xv4001), app(app(ty_@2, eb), ec), dh) -> new_esEs1(xv300, xv4000, eb, ec) new_esEs2(@3(xv300, xv301, xv302), @3(xv4000, xv4001, xv4002), hf, ge, app(app(ty_Either, bah), bba)) -> new_esEs(xv302, xv4002, bah, bba) new_esEs0(Just(@3(xv300, xv301, xv302)), Just(@3(xv4000, xv4001, xv4002)), app(app(app(ty_@3, hf), ge), app(ty_Maybe, bbb))) -> new_esEs0(xv302, xv4002, bbb) new_esEs0(Just(Left(xv300)), Just(Left(xv4000)), app(app(ty_Either, app(app(app(ty_@3, bf), bg), bh)), bb)) -> new_esEs2(xv300, xv4000, bf, bg, bh) new_esEs0(Just(Left(xv300)), Just(Left(xv4000)), app(app(ty_Either, app(ty_[], ca)), bb)) -> new_esEs3(xv300, xv4000, ca) new_esEs2(@3(xv300, xv301, xv302), @3(xv4000, xv4001, xv4002), app(ty_Maybe, gg), ge, gf) -> new_esEs0(xv300, xv4000, gg) new_esEs0(Just(@2(xv300, xv301)), Just(@2(xv4000, xv4001)), app(app(ty_@2, app(app(ty_@2, eb), ec)), dh)) -> new_esEs1(xv300, xv4000, eb, ec) new_esEs0(Just(@3(xv300, xv301, xv302)), Just(@3(xv4000, xv4001, xv4002)), app(app(app(ty_@3, app(app(ty_Either, gc), gd)), ge), gf)) -> new_esEs(xv300, xv4000, gc, gd) new_esEs1(@2(xv300, xv301), @2(xv4000, xv4001), app(app(ty_Either, df), dg), dh) -> new_esEs(xv300, xv4000, df, dg) new_esEs0(Just(xv30), Just(xv400), app(ty_Maybe, de)) -> new_esEs0(xv30, xv400, de) new_esEs0(Just(Right(xv300)), Just(Right(xv4000)), app(app(ty_Either, cb), app(app(ty_Either, cc), cd))) -> new_esEs(xv300, xv4000, cc, cd) new_esEs1(@2(xv300, xv301), @2(xv4000, xv4001), app(ty_Maybe, ea), dh) -> new_esEs0(xv300, xv4000, ea) new_esEs0(Just(Left(xv300)), Just(Left(xv4000)), app(app(ty_Either, app(app(ty_@2, bd), be)), bb)) -> new_esEs1(xv300, xv4000, bd, be) new_esEs0(Just(Left(xv300)), Just(Left(xv4000)), app(app(ty_Either, app(ty_Maybe, bc)), bb)) -> new_esEs0(xv300, xv4000, bc) new_esEs0(Just(:(xv300, xv301)), Just(:(xv4000, xv4001)), app(ty_[], app(ty_[], bda))) -> new_esEs3(xv300, xv4000, bda) new_esEs0(Just(@2(xv300, xv301)), Just(@2(xv4000, xv4001)), app(app(ty_@2, eh), app(ty_[], gb))) -> new_esEs3(xv301, xv4001, gb) new_esEs(Left(xv300), Left(xv4000), app(ty_[], ca), bb) -> new_esEs3(xv300, xv4000, ca) new_esEs1(@2(xv300, xv301), @2(xv4000, xv4001), eh, app(app(app(ty_@3, fg), fh), ga)) -> new_esEs2(xv301, xv4001, fg, fh, ga) new_esEs2(@3(xv300, xv301, xv302), @3(xv4000, xv4001, xv4002), hf, ge, app(app(ty_@2, bbc), bbd)) -> new_esEs1(xv302, xv4002, bbc, bbd) new_esEs0(Just(:(xv300, xv301)), Just(:(xv4000, xv4001)), app(ty_[], app(app(ty_@2, bcd), bce))) -> new_esEs1(xv300, xv4000, bcd, bce) new_esEs0(Just(@2(xv300, xv301)), Just(@2(xv4000, xv4001)), app(app(ty_@2, app(ty_[], eg)), dh)) -> new_esEs3(xv300, xv4000, eg) new_esEs(Right(xv300), Right(xv4000), cb, app(app(ty_@2, cf), cg)) -> new_esEs1(xv300, xv4000, cf, cg) new_esEs0(Just(:(xv300, xv301)), Just(:(xv4000, xv4001)), app(ty_[], bdb)) -> new_esEs3(xv301, xv4001, bdb) new_esEs0(Just(@3(xv300, xv301, xv302)), Just(@3(xv4000, xv4001, xv4002)), app(app(app(ty_@3, hf), ge), app(app(app(ty_@3, bbe), bbf), bbg))) -> new_esEs2(xv302, xv4002, bbe, bbf, bbg) new_esEs0(Just(@3(xv300, xv301, xv302)), Just(@3(xv4000, xv4001, xv4002)), app(app(app(ty_@3, app(ty_Maybe, gg)), ge), gf)) -> new_esEs0(xv300, xv4000, gg) new_esEs0(Just(@3(xv300, xv301, xv302)), Just(@3(xv4000, xv4001, xv4002)), app(app(app(ty_@3, hf), app(app(app(ty_@3, bad), bae), baf)), gf)) -> new_esEs2(xv301, xv4001, bad, bae, baf) new_esEs3(:(xv300, xv301), :(xv4000, xv4001), app(ty_[], bda)) -> new_esEs3(xv300, xv4000, bda) new_esEs1(@2(xv300, xv301), @2(xv4000, xv4001), eh, app(app(ty_Either, fa), fb)) -> new_esEs(xv301, xv4001, fa, fb) new_esEs2(@3(xv300, xv301, xv302), @3(xv4000, xv4001, xv4002), app(app(ty_Either, gc), gd), ge, gf) -> new_esEs(xv300, xv4000, gc, gd) new_esEs2(@3(xv300, xv301, xv302), @3(xv4000, xv4001, xv4002), hf, ge, app(ty_[], bbh)) -> new_esEs3(xv302, xv4002, bbh) new_esEs0(Just(@3(xv300, xv301, xv302)), Just(@3(xv4000, xv4001, xv4002)), app(app(app(ty_@3, hf), app(app(ty_@2, bab), bac)), gf)) -> new_esEs1(xv301, xv4001, bab, bac) new_esEs0(Just(@3(xv300, xv301, xv302)), Just(@3(xv4000, xv4001, xv4002)), app(app(app(ty_@3, hf), ge), app(app(ty_@2, bbc), bbd))) -> new_esEs1(xv302, xv4002, bbc, bbd) new_esEs0(Just(Right(xv300)), Just(Right(xv4000)), app(app(ty_Either, cb), app(app(app(ty_@3, da), db), dc))) -> new_esEs2(xv300, xv4000, da, db, dc) new_esEs2(@3(xv300, xv301, xv302), @3(xv4000, xv4001, xv4002), hf, app(ty_[], bag), gf) -> new_esEs3(xv301, xv4001, bag) new_esEs(Right(xv300), Right(xv4000), cb, app(app(ty_Either, cc), cd)) -> new_esEs(xv300, xv4000, cc, cd) new_esEs3(:(xv300, xv301), :(xv4000, xv4001), bdb) -> new_esEs3(xv301, xv4001, bdb) new_esEs(Right(xv300), Right(xv4000), cb, app(ty_[], dd)) -> new_esEs3(xv300, xv4000, dd) new_esEs0(Just(:(xv300, xv301)), Just(:(xv4000, xv4001)), app(ty_[], app(app(ty_Either, bca), bcb))) -> new_esEs(xv300, xv4000, bca, bcb) new_esEs(Left(xv300), Left(xv4000), app(app(ty_Either, h), ba), bb) -> new_esEs(xv300, xv4000, h, ba) new_esEs1(@2(xv300, xv301), @2(xv4000, xv4001), app(app(app(ty_@3, ed), ee), ef), dh) -> new_esEs2(xv300, xv4000, ed, ee, ef) new_esEs0(Just(@2(xv300, xv301)), Just(@2(xv4000, xv4001)), app(app(ty_@2, app(ty_Maybe, ea)), dh)) -> new_esEs0(xv300, xv4000, ea) new_esEs1(@2(xv300, xv301), @2(xv4000, xv4001), eh, app(ty_Maybe, fc)) -> new_esEs0(xv301, xv4001, fc) new_esEs0(Just(@3(xv300, xv301, xv302)), Just(@3(xv4000, xv4001, xv4002)), app(app(app(ty_@3, hf), ge), app(app(ty_Either, bah), bba))) -> new_esEs(xv302, xv4002, bah, bba) new_esEs0(Just(:(xv300, xv301)), Just(:(xv4000, xv4001)), app(ty_[], app(ty_Maybe, bcc))) -> new_esEs0(xv300, xv4000, bcc) new_esEs2(@3(xv300, xv301, xv302), @3(xv4000, xv4001, xv4002), hf, app(ty_Maybe, baa), gf) -> new_esEs0(xv301, xv4001, baa) new_esEs0(Just(Right(xv300)), Just(Right(xv4000)), app(app(ty_Either, cb), app(app(ty_@2, cf), cg))) -> new_esEs1(xv300, xv4000, cf, cg) new_esEs0(Just(@3(xv300, xv301, xv302)), Just(@3(xv4000, xv4001, xv4002)), app(app(app(ty_@3, app(app(ty_@2, gh), ha)), ge), gf)) -> new_esEs1(xv300, xv4000, gh, ha) new_esEs2(@3(xv300, xv301, xv302), @3(xv4000, xv4001, xv4002), hf, ge, app(app(app(ty_@3, bbe), bbf), bbg)) -> new_esEs2(xv302, xv4002, bbe, bbf, bbg) new_esEs0(Just(Right(xv300)), Just(Right(xv4000)), app(app(ty_Either, cb), app(ty_Maybe, ce))) -> new_esEs0(xv300, xv4000, ce) new_esEs0(Just(@3(xv300, xv301, xv302)), Just(@3(xv4000, xv4001, xv4002)), app(app(app(ty_@3, hf), app(app(ty_Either, hg), hh)), gf)) -> new_esEs(xv301, xv4001, hg, hh) new_esEs1(@2(xv300, xv301), @2(xv4000, xv4001), eh, app(app(ty_@2, fd), ff)) -> new_esEs1(xv301, xv4001, fd, ff) new_esEs0(Just(@2(xv300, xv301)), Just(@2(xv4000, xv4001)), app(app(ty_@2, eh), app(ty_Maybe, fc))) -> new_esEs0(xv301, xv4001, fc) new_esEs2(@3(xv300, xv301, xv302), @3(xv4000, xv4001, xv4002), app(app(ty_@2, gh), ha), ge, gf) -> new_esEs1(xv300, xv4000, gh, ha) 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_esEs3(:(xv300, xv301), :(xv4000, xv4001), app(app(app(ty_@3, bcf), bcg), bch)) -> new_esEs2(xv300, xv4000, bcf, bcg, bch) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 *new_esEs3(:(xv300, xv301), :(xv4000, xv4001), app(ty_Maybe, bcc)) -> new_esEs0(xv300, xv4000, bcc) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs3(:(xv300, xv301), :(xv4000, xv4001), app(app(ty_Either, bca), bcb)) -> new_esEs(xv300, xv4000, bca, bcb) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs3(:(xv300, xv301), :(xv4000, xv4001), app(app(ty_@2, bcd), bce)) -> new_esEs1(xv300, xv4000, bcd, bce) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs1(@2(xv300, xv301), @2(xv4000, xv4001), eh, app(app(app(ty_@3, fg), fh), ga)) -> new_esEs2(xv301, xv4001, fg, fh, ga) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4, 4 > 5 *new_esEs1(@2(xv300, xv301), @2(xv4000, xv4001), app(app(app(ty_@3, ed), ee), ef), dh) -> new_esEs2(xv300, xv4000, ed, ee, ef) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 *new_esEs1(@2(xv300, xv301), @2(xv4000, xv4001), app(ty_Maybe, ea), dh) -> new_esEs0(xv300, xv4000, ea) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs1(@2(xv300, xv301), @2(xv4000, xv4001), eh, app(ty_Maybe, fc)) -> new_esEs0(xv301, xv4001, fc) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 *new_esEs1(@2(xv300, xv301), @2(xv4000, xv4001), app(ty_[], eg), dh) -> new_esEs3(xv300, xv4000, eg) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs1(@2(xv300, xv301), @2(xv4000, xv4001), eh, app(ty_[], gb)) -> new_esEs3(xv301, xv4001, gb) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 *new_esEs1(@2(xv300, xv301), @2(xv4000, xv4001), app(app(ty_Either, df), dg), dh) -> new_esEs(xv300, xv4000, df, dg) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs1(@2(xv300, xv301), @2(xv4000, xv4001), eh, app(app(ty_Either, fa), fb)) -> new_esEs(xv301, xv4001, fa, fb) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 *new_esEs1(@2(xv300, xv301), @2(xv4000, xv4001), app(app(ty_@2, eb), ec), dh) -> new_esEs1(xv300, xv4000, eb, ec) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs1(@2(xv300, xv301), @2(xv4000, xv4001), eh, app(app(ty_@2, fd), ff)) -> new_esEs1(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), hf, app(app(app(ty_@3, bad), bae), baf), gf) -> new_esEs2(xv301, xv4001, bad, bae, baf) 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, hb), hc), hd), ge, gf) -> new_esEs2(xv300, xv4000, hb, hc, hd) 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), hf, ge, app(app(app(ty_@3, bbe), bbf), bbg)) -> new_esEs2(xv302, xv4002, bbe, bbf, bbg) The graph contains the following edges 1 > 1, 2 > 2, 5 > 3, 5 > 4, 5 > 5 *new_esEs(Left(xv300), Left(xv4000), app(app(app(ty_@3, bf), bg), bh), bb) -> new_esEs2(xv300, xv4000, bf, bg, bh) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 *new_esEs(Right(xv300), Right(xv4000), cb, app(app(app(ty_@3, da), db), dc)) -> new_esEs2(xv300, xv4000, da, db, dc) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4, 4 > 5 *new_esEs0(Just(:(xv300, xv301)), Just(:(xv4000, xv4001)), app(ty_[], app(app(app(ty_@3, bcf), bcg), bch))) -> new_esEs2(xv300, xv4000, bcf, bcg, bch) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 *new_esEs0(Just(@2(xv300, xv301)), Just(@2(xv4000, xv4001)), app(app(ty_@2, app(app(app(ty_@3, ed), ee), ef)), dh)) -> new_esEs2(xv300, xv4000, ed, ee, ef) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 *new_esEs0(Just(@2(xv300, xv301)), Just(@2(xv4000, xv4001)), app(app(ty_@2, eh), app(app(app(ty_@3, fg), fh), ga))) -> new_esEs2(xv301, xv4001, fg, fh, ga) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 *new_esEs0(Just(@3(xv300, xv301, xv302)), Just(@3(xv4000, xv4001, xv4002)), app(app(app(ty_@3, app(app(app(ty_@3, hb), hc), hd)), ge), gf)) -> new_esEs2(xv300, xv4000, hb, hc, hd) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 *new_esEs0(Just(Left(xv300)), Just(Left(xv4000)), app(app(ty_Either, app(app(app(ty_@3, bf), bg), bh)), bb)) -> new_esEs2(xv300, xv4000, bf, bg, bh) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 *new_esEs0(Just(@3(xv300, xv301, xv302)), Just(@3(xv4000, xv4001, xv4002)), app(app(app(ty_@3, hf), ge), app(app(app(ty_@3, bbe), bbf), bbg))) -> new_esEs2(xv302, xv4002, bbe, bbf, bbg) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 *new_esEs0(Just(@3(xv300, xv301, xv302)), Just(@3(xv4000, xv4001, xv4002)), app(app(app(ty_@3, hf), app(app(app(ty_@3, bad), bae), baf)), gf)) -> new_esEs2(xv301, xv4001, bad, bae, baf) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 *new_esEs0(Just(Right(xv300)), Just(Right(xv4000)), app(app(ty_Either, cb), app(app(app(ty_@3, da), db), dc))) -> new_esEs2(xv300, xv4000, da, db, dc) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 *new_esEs3(:(xv300, xv301), :(xv4000, xv4001), app(ty_[], bda)) -> new_esEs3(xv300, xv4000, bda) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs3(:(xv300, xv301), :(xv4000, xv4001), bdb) -> new_esEs3(xv301, xv4001, bdb) The graph contains the following edges 1 > 1, 2 > 2, 3 >= 3 *new_esEs2(@3(xv300, xv301, xv302), @3(xv4000, xv4001, xv4002), hf, ge, app(ty_Maybe, bbb)) -> new_esEs0(xv302, xv4002, bbb) 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, gg), ge, gf) -> new_esEs0(xv300, xv4000, gg) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs2(@3(xv300, xv301, xv302), @3(xv4000, xv4001, xv4002), hf, app(ty_Maybe, baa), gf) -> new_esEs0(xv301, xv4001, baa) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 *new_esEs(Right(xv300), Right(xv4000), cb, app(ty_Maybe, ce)) -> new_esEs0(xv300, xv4000, ce) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 *new_esEs(Left(xv300), Left(xv4000), app(ty_Maybe, bc), bb) -> new_esEs0(xv300, xv4000, bc) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs0(Just(@3(xv300, xv301, xv302)), Just(@3(xv4000, xv4001, xv4002)), app(app(app(ty_@3, hf), app(ty_Maybe, baa)), gf)) -> new_esEs0(xv301, xv4001, baa) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs0(Just(@3(xv300, xv301, xv302)), Just(@3(xv4000, xv4001, xv4002)), app(app(app(ty_@3, hf), ge), app(ty_Maybe, bbb))) -> new_esEs0(xv302, xv4002, bbb) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs0(Just(xv30), Just(xv400), app(ty_Maybe, de)) -> new_esEs0(xv30, xv400, de) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs0(Just(Left(xv300)), Just(Left(xv4000)), app(app(ty_Either, app(ty_Maybe, bc)), bb)) -> new_esEs0(xv300, xv4000, bc) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs0(Just(@3(xv300, xv301, xv302)), Just(@3(xv4000, xv4001, xv4002)), app(app(app(ty_@3, app(ty_Maybe, gg)), ge), gf)) -> new_esEs0(xv300, xv4000, gg) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs0(Just(@2(xv300, xv301)), Just(@2(xv4000, xv4001)), app(app(ty_@2, app(ty_Maybe, ea)), dh)) -> new_esEs0(xv300, xv4000, ea) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs0(Just(:(xv300, xv301)), Just(:(xv4000, xv4001)), app(ty_[], app(ty_Maybe, bcc))) -> new_esEs0(xv300, xv4000, bcc) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs0(Just(Right(xv300)), Just(Right(xv4000)), app(app(ty_Either, cb), app(ty_Maybe, ce))) -> new_esEs0(xv300, xv4000, ce) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs0(Just(@2(xv300, xv301)), Just(@2(xv4000, xv4001)), app(app(ty_@2, eh), app(ty_Maybe, fc))) -> new_esEs0(xv301, xv4001, fc) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs2(@3(xv300, xv301, xv302), @3(xv4000, xv4001, xv4002), app(ty_[], he), ge, gf) -> new_esEs3(xv300, xv4000, he) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs2(@3(xv300, xv301, xv302), @3(xv4000, xv4001, xv4002), hf, ge, app(ty_[], bbh)) -> new_esEs3(xv302, xv4002, bbh) The graph contains the following edges 1 > 1, 2 > 2, 5 > 3 *new_esEs2(@3(xv300, xv301, xv302), @3(xv4000, xv4001, xv4002), hf, app(ty_[], bag), gf) -> new_esEs3(xv301, xv4001, bag) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 *new_esEs2(@3(xv300, xv301, xv302), @3(xv4000, xv4001, xv4002), hf, app(app(ty_Either, hg), hh), gf) -> new_esEs(xv301, xv4001, hg, hh) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 *new_esEs2(@3(xv300, xv301, xv302), @3(xv4000, xv4001, xv4002), hf, ge, app(app(ty_Either, bah), bba)) -> new_esEs(xv302, xv4002, bah, bba) 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_Either, gc), gd), ge, gf) -> new_esEs(xv300, xv4000, gc, gd) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs2(@3(xv300, xv301, xv302), @3(xv4000, xv4001, xv4002), hf, app(app(ty_@2, bab), bac), gf) -> new_esEs1(xv301, xv4001, bab, bac) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 *new_esEs2(@3(xv300, xv301, xv302), @3(xv4000, xv4001, xv4002), hf, ge, app(app(ty_@2, bbc), bbd)) -> new_esEs1(xv302, xv4002, bbc, bbd) 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, gh), ha), ge, gf) -> new_esEs1(xv300, xv4000, gh, ha) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs(Left(xv300), Left(xv4000), app(ty_[], ca), bb) -> new_esEs3(xv300, xv4000, ca) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs(Right(xv300), Right(xv4000), cb, app(ty_[], dd)) -> new_esEs3(xv300, xv4000, dd) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 *new_esEs(Right(xv300), Right(xv4000), cb, app(app(ty_Either, cc), cd)) -> new_esEs(xv300, xv4000, cc, cd) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 *new_esEs(Left(xv300), Left(xv4000), app(app(ty_Either, h), ba), bb) -> new_esEs(xv300, xv4000, h, ba) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs(Left(xv300), Left(xv4000), app(app(ty_@2, bd), be), bb) -> new_esEs1(xv300, xv4000, bd, be) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs(Right(xv300), Right(xv4000), cb, app(app(ty_@2, cf), cg)) -> new_esEs1(xv300, xv4000, cf, cg) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 *new_esEs0(Just(@3(xv300, xv301, xv302)), Just(@3(xv4000, xv4001, xv4002)), app(app(app(ty_@3, hf), ge), app(ty_[], bbh))) -> new_esEs3(xv302, xv4002, bbh) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs0(Just(@3(xv300, xv301, xv302)), Just(@3(xv4000, xv4001, xv4002)), app(app(app(ty_@3, hf), app(ty_[], bag)), gf)) -> new_esEs3(xv301, xv4001, bag) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs0(Just(@3(xv300, xv301, xv302)), Just(@3(xv4000, xv4001, xv4002)), app(app(app(ty_@3, app(ty_[], he)), ge), gf)) -> new_esEs3(xv300, xv4000, he) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs0(Just(Right(xv300)), Just(Right(xv4000)), app(app(ty_Either, cb), app(ty_[], dd))) -> new_esEs3(xv300, xv4000, dd) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs0(Just(Left(xv300)), Just(Left(xv4000)), app(app(ty_Either, app(ty_[], ca)), bb)) -> new_esEs3(xv300, xv4000, ca) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs0(Just(:(xv300, xv301)), Just(:(xv4000, xv4001)), app(ty_[], app(ty_[], bda))) -> new_esEs3(xv300, xv4000, bda) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs0(Just(@2(xv300, xv301)), Just(@2(xv4000, xv4001)), app(app(ty_@2, eh), app(ty_[], gb))) -> new_esEs3(xv301, xv4001, gb) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs0(Just(@2(xv300, xv301)), Just(@2(xv4000, xv4001)), app(app(ty_@2, app(ty_[], eg)), dh)) -> new_esEs3(xv300, xv4000, eg) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs0(Just(:(xv300, xv301)), Just(:(xv4000, xv4001)), app(ty_[], bdb)) -> new_esEs3(xv301, xv4001, bdb) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs0(Just(Left(xv300)), Just(Left(xv4000)), app(app(ty_Either, app(app(ty_Either, h), ba)), bb)) -> new_esEs(xv300, xv4000, h, ba) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs0(Just(@2(xv300, xv301)), Just(@2(xv4000, xv4001)), app(app(ty_@2, eh), app(app(ty_Either, fa), fb))) -> new_esEs(xv301, xv4001, fa, fb) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs0(Just(@2(xv300, xv301)), Just(@2(xv4000, xv4001)), app(app(ty_@2, app(app(ty_Either, df), dg)), dh)) -> new_esEs(xv300, xv4000, df, dg) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs0(Just(@3(xv300, xv301, xv302)), Just(@3(xv4000, xv4001, xv4002)), app(app(app(ty_@3, app(app(ty_Either, gc), gd)), ge), gf)) -> new_esEs(xv300, xv4000, gc, gd) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs0(Just(Right(xv300)), Just(Right(xv4000)), app(app(ty_Either, cb), app(app(ty_Either, cc), cd))) -> new_esEs(xv300, xv4000, cc, cd) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs0(Just(:(xv300, xv301)), Just(:(xv4000, xv4001)), app(ty_[], app(app(ty_Either, bca), bcb))) -> new_esEs(xv300, xv4000, bca, bcb) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs0(Just(@3(xv300, xv301, xv302)), Just(@3(xv4000, xv4001, xv4002)), app(app(app(ty_@3, hf), ge), app(app(ty_Either, bah), bba))) -> new_esEs(xv302, xv4002, bah, bba) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs0(Just(@3(xv300, xv301, xv302)), Just(@3(xv4000, xv4001, xv4002)), app(app(app(ty_@3, hf), app(app(ty_Either, hg), hh)), gf)) -> new_esEs(xv301, xv4001, hg, hh) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs0(Just(@2(xv300, xv301)), Just(@2(xv4000, xv4001)), app(app(ty_@2, eh), app(app(ty_@2, fd), ff))) -> new_esEs1(xv301, xv4001, fd, ff) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs0(Just(@2(xv300, xv301)), Just(@2(xv4000, xv4001)), app(app(ty_@2, app(app(ty_@2, eb), ec)), dh)) -> new_esEs1(xv300, xv4000, eb, ec) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs0(Just(Left(xv300)), Just(Left(xv4000)), app(app(ty_Either, app(app(ty_@2, bd), be)), bb)) -> new_esEs1(xv300, xv4000, bd, be) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs0(Just(:(xv300, xv301)), Just(:(xv4000, xv4001)), app(ty_[], app(app(ty_@2, bcd), bce))) -> new_esEs1(xv300, xv4000, bcd, bce) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs0(Just(@3(xv300, xv301, xv302)), Just(@3(xv4000, xv4001, xv4002)), app(app(app(ty_@3, hf), app(app(ty_@2, bab), bac)), gf)) -> new_esEs1(xv301, xv4001, bab, bac) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs0(Just(@3(xv300, xv301, xv302)), Just(@3(xv4000, xv4001, xv4002)), app(app(app(ty_@3, hf), ge), app(app(ty_@2, bbc), bbd))) -> new_esEs1(xv302, xv4002, bbc, bbd) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs0(Just(Right(xv300)), Just(Right(xv4000)), app(app(ty_Either, cb), app(app(ty_@2, cf), cg))) -> new_esEs1(xv300, xv4000, cf, cg) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs0(Just(@3(xv300, xv301, xv302)), Just(@3(xv4000, xv4001, xv4002)), app(app(app(ty_@3, app(app(ty_@2, gh), ha)), ge), gf)) -> new_esEs1(xv300, xv4000, gh, ha) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 ---------------------------------------- (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