/export/starexec/sandbox/solver/bin/starexec_run_standard /export/starexec/sandbox/benchmark/theBenchmark.hs /export/starexec/sandbox/output/output_files -------------------------------------------------------------------------------- YES proof of /export/starexec/sandbox/benchmark/theBenchmark.hs # AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty H-Termination with start terms of the given HASKELL could be proven: (0) HASKELL (1) BR [EQUIVALENT, 0 ms] (2) HASKELL (3) COR [EQUIVALENT, 0 ms] (4) HASKELL (5) Narrow [SOUND, 0 ms] (6) AND (7) QDP (8) QDPSizeChangeProof [EQUIVALENT, 0 ms] (9) YES (10) QDP (11) QDPSizeChangeProof [EQUIVALENT, 0 ms] (12) YES (13) QDP (14) QDPSizeChangeProof [EQUIVALENT, 0 ms] (15) YES (16) QDP (17) QDPSizeChangeProof [EQUIVALENT, 0 ms] (18) YES ---------------------------------------- (0) Obligation: mainModule Main module Main where { import qualified Prelude; } ---------------------------------------- (1) BR (EQUIVALENT) Replaced joker patterns by fresh variables and removed binding patterns. ---------------------------------------- (2) Obligation: mainModule Main module Main where { import qualified Prelude; } ---------------------------------------- (3) COR (EQUIVALENT) Cond Reductions: The following Function with conditions "undefined |Falseundefined; " is transformed to "undefined = undefined1; " "undefined0 True = undefined; " "undefined1 = undefined0 False; " ---------------------------------------- (4) Obligation: mainModule Main module Main where { import qualified Prelude; } ---------------------------------------- (5) Narrow (SOUND) Haskell To QDPs digraph dp_graph { node [outthreshold=100, inthreshold=100];1[label="(/=)",fontsize=16,color="grey",shape="box"];1 -> 3[label="",style="dashed", color="grey", weight=3]; 3[label="(/=) xv3",fontsize=16,color="grey",shape="box"];3 -> 4[label="",style="dashed", color="grey", weight=3]; 4[label="(/=) xv3 xv4",fontsize=16,color="black",shape="triangle"];4 -> 5[label="",style="solid", color="black", weight=3]; 5 -> 18[label="",style="dashed", color="red", weight=0]; 5[label="not (xv3 == xv4)",fontsize=16,color="magenta"];5 -> 19[label="",style="dashed", color="magenta", weight=3]; 19[label="xv3 == xv4",fontsize=16,color="burlywood",shape="triangle"];634[label="xv3/Nothing",fontsize=10,color="white",style="solid",shape="box"];19 -> 634[label="",style="solid", color="burlywood", weight=9]; 634 -> 24[label="",style="solid", color="burlywood", weight=3]; 635[label="xv3/Just xv30",fontsize=10,color="white",style="solid",shape="box"];19 -> 635[label="",style="solid", color="burlywood", weight=9]; 635 -> 25[label="",style="solid", color="burlywood", weight=3]; 18[label="not xv7",fontsize=16,color="burlywood",shape="triangle"];636[label="xv7/False",fontsize=10,color="white",style="solid",shape="box"];18 -> 636[label="",style="solid", color="burlywood", weight=9]; 636 -> 26[label="",style="solid", color="burlywood", weight=3]; 637[label="xv7/True",fontsize=10,color="white",style="solid",shape="box"];18 -> 637[label="",style="solid", color="burlywood", weight=9]; 637 -> 27[label="",style="solid", color="burlywood", weight=3]; 24[label="Nothing == xv4",fontsize=16,color="burlywood",shape="box"];638[label="xv4/Nothing",fontsize=10,color="white",style="solid",shape="box"];24 -> 638[label="",style="solid", color="burlywood", weight=9]; 638 -> 28[label="",style="solid", color="burlywood", weight=3]; 639[label="xv4/Just xv40",fontsize=10,color="white",style="solid",shape="box"];24 -> 639[label="",style="solid", color="burlywood", weight=9]; 639 -> 29[label="",style="solid", color="burlywood", weight=3]; 25[label="Just xv30 == xv4",fontsize=16,color="burlywood",shape="box"];640[label="xv4/Nothing",fontsize=10,color="white",style="solid",shape="box"];25 -> 640[label="",style="solid", color="burlywood", weight=9]; 640 -> 30[label="",style="solid", color="burlywood", weight=3]; 641[label="xv4/Just xv40",fontsize=10,color="white",style="solid",shape="box"];25 -> 641[label="",style="solid", color="burlywood", weight=9]; 641 -> 31[label="",style="solid", color="burlywood", weight=3]; 26[label="not False",fontsize=16,color="black",shape="box"];26 -> 32[label="",style="solid", color="black", weight=3]; 27[label="not True",fontsize=16,color="black",shape="box"];27 -> 33[label="",style="solid", color="black", weight=3]; 28[label="Nothing == Nothing",fontsize=16,color="black",shape="box"];28 -> 34[label="",style="solid", color="black", weight=3]; 29[label="Nothing == Just xv40",fontsize=16,color="black",shape="box"];29 -> 35[label="",style="solid", color="black", weight=3]; 30[label="Just xv30 == Nothing",fontsize=16,color="black",shape="box"];30 -> 36[label="",style="solid", color="black", weight=3]; 31[label="Just xv30 == Just xv40",fontsize=16,color="black",shape="box"];31 -> 37[label="",style="solid", color="black", weight=3]; 32[label="True",fontsize=16,color="green",shape="box"];33[label="False",fontsize=16,color="green",shape="box"];34[label="True",fontsize=16,color="green",shape="box"];35[label="False",fontsize=16,color="green",shape="box"];36[label="False",fontsize=16,color="green",shape="box"];37[label="xv30 == xv40",fontsize=16,color="blue",shape="box"];642[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];37 -> 642[label="",style="solid", color="blue", weight=9]; 642 -> 38[label="",style="solid", color="blue", weight=3]; 643[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];37 -> 643[label="",style="solid", color="blue", weight=9]; 643 -> 39[label="",style="solid", color="blue", weight=3]; 644[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];37 -> 644[label="",style="solid", color="blue", weight=9]; 644 -> 40[label="",style="solid", color="blue", weight=3]; 645[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];37 -> 645[label="",style="solid", color="blue", weight=9]; 645 -> 41[label="",style="solid", color="blue", weight=3]; 646[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];37 -> 646[label="",style="solid", color="blue", weight=9]; 646 -> 42[label="",style="solid", color="blue", weight=3]; 647[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];37 -> 647[label="",style="solid", color="blue", weight=9]; 647 -> 43[label="",style="solid", color="blue", weight=3]; 648[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];37 -> 648[label="",style="solid", color="blue", weight=9]; 648 -> 44[label="",style="solid", color="blue", weight=3]; 649[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];37 -> 649[label="",style="solid", color="blue", weight=9]; 649 -> 45[label="",style="solid", color="blue", weight=3]; 650[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];37 -> 650[label="",style="solid", color="blue", weight=9]; 650 -> 46[label="",style="solid", color="blue", weight=3]; 651[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];37 -> 651[label="",style="solid", color="blue", weight=9]; 651 -> 47[label="",style="solid", color="blue", weight=3]; 652[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];37 -> 652[label="",style="solid", color="blue", weight=9]; 652 -> 48[label="",style="solid", color="blue", weight=3]; 653[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];37 -> 653[label="",style="solid", color="blue", weight=9]; 653 -> 49[label="",style="solid", color="blue", weight=3]; 654[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];37 -> 654[label="",style="solid", color="blue", weight=9]; 654 -> 50[label="",style="solid", color="blue", weight=3]; 655[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];37 -> 655[label="",style="solid", color="blue", weight=9]; 655 -> 51[label="",style="solid", color="blue", weight=3]; 38[label="xv30 == xv40",fontsize=16,color="black",shape="triangle"];38 -> 52[label="",style="solid", color="black", weight=3]; 39[label="xv30 == xv40",fontsize=16,color="burlywood",shape="triangle"];656[label="xv30/xv300 : xv301",fontsize=10,color="white",style="solid",shape="box"];39 -> 656[label="",style="solid", color="burlywood", weight=9]; 656 -> 53[label="",style="solid", color="burlywood", weight=3]; 657[label="xv30/[]",fontsize=10,color="white",style="solid",shape="box"];39 -> 657[label="",style="solid", color="burlywood", weight=9]; 657 -> 54[label="",style="solid", color="burlywood", weight=3]; 40[label="xv30 == xv40",fontsize=16,color="burlywood",shape="triangle"];658[label="xv30/(xv300,xv301,xv302)",fontsize=10,color="white",style="solid",shape="box"];40 -> 658[label="",style="solid", color="burlywood", weight=9]; 658 -> 55[label="",style="solid", color="burlywood", weight=3]; 41[label="xv30 == xv40",fontsize=16,color="burlywood",shape="triangle"];659[label="xv30/()",fontsize=10,color="white",style="solid",shape="box"];41 -> 659[label="",style="solid", color="burlywood", weight=9]; 659 -> 56[label="",style="solid", color="burlywood", weight=3]; 42[label="xv30 == xv40",fontsize=16,color="burlywood",shape="triangle"];660[label="xv30/LT",fontsize=10,color="white",style="solid",shape="box"];42 -> 660[label="",style="solid", color="burlywood", weight=9]; 660 -> 57[label="",style="solid", color="burlywood", weight=3]; 661[label="xv30/EQ",fontsize=10,color="white",style="solid",shape="box"];42 -> 661[label="",style="solid", color="burlywood", weight=9]; 661 -> 58[label="",style="solid", color="burlywood", weight=3]; 662[label="xv30/GT",fontsize=10,color="white",style="solid",shape="box"];42 -> 662[label="",style="solid", color="burlywood", weight=9]; 662 -> 59[label="",style="solid", color="burlywood", weight=3]; 43[label="xv30 == xv40",fontsize=16,color="black",shape="triangle"];43 -> 60[label="",style="solid", color="black", weight=3]; 44[label="xv30 == xv40",fontsize=16,color="burlywood",shape="triangle"];663[label="xv30/False",fontsize=10,color="white",style="solid",shape="box"];44 -> 663[label="",style="solid", color="burlywood", weight=9]; 663 -> 61[label="",style="solid", color="burlywood", weight=3]; 664[label="xv30/True",fontsize=10,color="white",style="solid",shape="box"];44 -> 664[label="",style="solid", color="burlywood", weight=9]; 664 -> 62[label="",style="solid", color="burlywood", weight=3]; 45[label="xv30 == xv40",fontsize=16,color="burlywood",shape="triangle"];665[label="xv30/Left xv300",fontsize=10,color="white",style="solid",shape="box"];45 -> 665[label="",style="solid", color="burlywood", weight=9]; 665 -> 63[label="",style="solid", color="burlywood", weight=3]; 666[label="xv30/Right xv300",fontsize=10,color="white",style="solid",shape="box"];45 -> 666[label="",style="solid", color="burlywood", weight=9]; 666 -> 64[label="",style="solid", color="burlywood", weight=3]; 46[label="xv30 == xv40",fontsize=16,color="burlywood",shape="triangle"];667[label="xv30/Integer xv300",fontsize=10,color="white",style="solid",shape="box"];46 -> 667[label="",style="solid", color="burlywood", weight=9]; 667 -> 65[label="",style="solid", color="burlywood", weight=3]; 47[label="xv30 == xv40",fontsize=16,color="burlywood",shape="triangle"];668[label="xv30/(xv300,xv301)",fontsize=10,color="white",style="solid",shape="box"];47 -> 668[label="",style="solid", color="burlywood", weight=9]; 668 -> 66[label="",style="solid", color="burlywood", weight=3]; 48[label="xv30 == xv40",fontsize=16,color="black",shape="triangle"];48 -> 67[label="",style="solid", color="black", weight=3]; 49[label="xv30 == xv40",fontsize=16,color="burlywood",shape="triangle"];669[label="xv30/xv300 :% xv301",fontsize=10,color="white",style="solid",shape="box"];49 -> 669[label="",style="solid", color="burlywood", weight=9]; 669 -> 68[label="",style="solid", color="burlywood", weight=3]; 50 -> 19[label="",style="dashed", color="red", weight=0]; 50[label="xv30 == xv40",fontsize=16,color="magenta"];50 -> 69[label="",style="dashed", color="magenta", weight=3]; 50 -> 70[label="",style="dashed", color="magenta", weight=3]; 51[label="xv30 == xv40",fontsize=16,color="black",shape="triangle"];51 -> 71[label="",style="solid", color="black", weight=3]; 52[label="primEqDouble xv30 xv40",fontsize=16,color="burlywood",shape="box"];670[label="xv30/Double xv300 xv301",fontsize=10,color="white",style="solid",shape="box"];52 -> 670[label="",style="solid", color="burlywood", weight=9]; 670 -> 72[label="",style="solid", color="burlywood", weight=3]; 53[label="xv300 : xv301 == xv40",fontsize=16,color="burlywood",shape="box"];671[label="xv40/xv400 : xv401",fontsize=10,color="white",style="solid",shape="box"];53 -> 671[label="",style="solid", color="burlywood", weight=9]; 671 -> 73[label="",style="solid", color="burlywood", weight=3]; 672[label="xv40/[]",fontsize=10,color="white",style="solid",shape="box"];53 -> 672[label="",style="solid", color="burlywood", weight=9]; 672 -> 74[label="",style="solid", color="burlywood", weight=3]; 54[label="[] == xv40",fontsize=16,color="burlywood",shape="box"];673[label="xv40/xv400 : xv401",fontsize=10,color="white",style="solid",shape="box"];54 -> 673[label="",style="solid", color="burlywood", weight=9]; 673 -> 75[label="",style="solid", color="burlywood", weight=3]; 674[label="xv40/[]",fontsize=10,color="white",style="solid",shape="box"];54 -> 674[label="",style="solid", color="burlywood", weight=9]; 674 -> 76[label="",style="solid", color="burlywood", weight=3]; 55[label="(xv300,xv301,xv302) == xv40",fontsize=16,color="burlywood",shape="box"];675[label="xv40/(xv400,xv401,xv402)",fontsize=10,color="white",style="solid",shape="box"];55 -> 675[label="",style="solid", color="burlywood", weight=9]; 675 -> 77[label="",style="solid", color="burlywood", weight=3]; 56[label="() == xv40",fontsize=16,color="burlywood",shape="box"];676[label="xv40/()",fontsize=10,color="white",style="solid",shape="box"];56 -> 676[label="",style="solid", color="burlywood", weight=9]; 676 -> 78[label="",style="solid", color="burlywood", weight=3]; 57[label="LT == xv40",fontsize=16,color="burlywood",shape="box"];677[label="xv40/LT",fontsize=10,color="white",style="solid",shape="box"];57 -> 677[label="",style="solid", color="burlywood", weight=9]; 677 -> 79[label="",style="solid", color="burlywood", weight=3]; 678[label="xv40/EQ",fontsize=10,color="white",style="solid",shape="box"];57 -> 678[label="",style="solid", color="burlywood", weight=9]; 678 -> 80[label="",style="solid", color="burlywood", weight=3]; 679[label="xv40/GT",fontsize=10,color="white",style="solid",shape="box"];57 -> 679[label="",style="solid", color="burlywood", weight=9]; 679 -> 81[label="",style="solid", color="burlywood", weight=3]; 58[label="EQ == xv40",fontsize=16,color="burlywood",shape="box"];680[label="xv40/LT",fontsize=10,color="white",style="solid",shape="box"];58 -> 680[label="",style="solid", color="burlywood", weight=9]; 680 -> 82[label="",style="solid", color="burlywood", weight=3]; 681[label="xv40/EQ",fontsize=10,color="white",style="solid",shape="box"];58 -> 681[label="",style="solid", color="burlywood", weight=9]; 681 -> 83[label="",style="solid", color="burlywood", weight=3]; 682[label="xv40/GT",fontsize=10,color="white",style="solid",shape="box"];58 -> 682[label="",style="solid", color="burlywood", weight=9]; 682 -> 84[label="",style="solid", color="burlywood", weight=3]; 59[label="GT == xv40",fontsize=16,color="burlywood",shape="box"];683[label="xv40/LT",fontsize=10,color="white",style="solid",shape="box"];59 -> 683[label="",style="solid", color="burlywood", weight=9]; 683 -> 85[label="",style="solid", color="burlywood", weight=3]; 684[label="xv40/EQ",fontsize=10,color="white",style="solid",shape="box"];59 -> 684[label="",style="solid", color="burlywood", weight=9]; 684 -> 86[label="",style="solid", color="burlywood", weight=3]; 685[label="xv40/GT",fontsize=10,color="white",style="solid",shape="box"];59 -> 685[label="",style="solid", color="burlywood", weight=9]; 685 -> 87[label="",style="solid", color="burlywood", weight=3]; 60[label="primEqChar xv30 xv40",fontsize=16,color="burlywood",shape="box"];686[label="xv30/Char xv300",fontsize=10,color="white",style="solid",shape="box"];60 -> 686[label="",style="solid", color="burlywood", weight=9]; 686 -> 88[label="",style="solid", color="burlywood", weight=3]; 61[label="False == xv40",fontsize=16,color="burlywood",shape="box"];687[label="xv40/False",fontsize=10,color="white",style="solid",shape="box"];61 -> 687[label="",style="solid", color="burlywood", weight=9]; 687 -> 89[label="",style="solid", color="burlywood", weight=3]; 688[label="xv40/True",fontsize=10,color="white",style="solid",shape="box"];61 -> 688[label="",style="solid", color="burlywood", weight=9]; 688 -> 90[label="",style="solid", color="burlywood", weight=3]; 62[label="True == xv40",fontsize=16,color="burlywood",shape="box"];689[label="xv40/False",fontsize=10,color="white",style="solid",shape="box"];62 -> 689[label="",style="solid", color="burlywood", weight=9]; 689 -> 91[label="",style="solid", color="burlywood", weight=3]; 690[label="xv40/True",fontsize=10,color="white",style="solid",shape="box"];62 -> 690[label="",style="solid", color="burlywood", weight=9]; 690 -> 92[label="",style="solid", color="burlywood", weight=3]; 63[label="Left xv300 == xv40",fontsize=16,color="burlywood",shape="box"];691[label="xv40/Left xv400",fontsize=10,color="white",style="solid",shape="box"];63 -> 691[label="",style="solid", color="burlywood", weight=9]; 691 -> 93[label="",style="solid", color="burlywood", weight=3]; 692[label="xv40/Right xv400",fontsize=10,color="white",style="solid",shape="box"];63 -> 692[label="",style="solid", color="burlywood", weight=9]; 692 -> 94[label="",style="solid", color="burlywood", weight=3]; 64[label="Right xv300 == xv40",fontsize=16,color="burlywood",shape="box"];693[label="xv40/Left xv400",fontsize=10,color="white",style="solid",shape="box"];64 -> 693[label="",style="solid", color="burlywood", weight=9]; 693 -> 95[label="",style="solid", color="burlywood", weight=3]; 694[label="xv40/Right xv400",fontsize=10,color="white",style="solid",shape="box"];64 -> 694[label="",style="solid", color="burlywood", weight=9]; 694 -> 96[label="",style="solid", color="burlywood", weight=3]; 65[label="Integer xv300 == xv40",fontsize=16,color="burlywood",shape="box"];695[label="xv40/Integer xv400",fontsize=10,color="white",style="solid",shape="box"];65 -> 695[label="",style="solid", color="burlywood", weight=9]; 695 -> 97[label="",style="solid", color="burlywood", weight=3]; 66[label="(xv300,xv301) == xv40",fontsize=16,color="burlywood",shape="box"];696[label="xv40/(xv400,xv401)",fontsize=10,color="white",style="solid",shape="box"];66 -> 696[label="",style="solid", color="burlywood", weight=9]; 696 -> 98[label="",style="solid", color="burlywood", weight=3]; 67[label="primEqFloat xv30 xv40",fontsize=16,color="burlywood",shape="box"];697[label="xv30/Float xv300 xv301",fontsize=10,color="white",style="solid",shape="box"];67 -> 697[label="",style="solid", color="burlywood", weight=9]; 697 -> 99[label="",style="solid", color="burlywood", weight=3]; 68[label="xv300 :% xv301 == xv40",fontsize=16,color="burlywood",shape="box"];698[label="xv40/xv400 :% xv401",fontsize=10,color="white",style="solid",shape="box"];68 -> 698[label="",style="solid", color="burlywood", weight=9]; 698 -> 100[label="",style="solid", color="burlywood", weight=3]; 69[label="xv40",fontsize=16,color="green",shape="box"];70[label="xv30",fontsize=16,color="green",shape="box"];71[label="primEqInt xv30 xv40",fontsize=16,color="burlywood",shape="triangle"];699[label="xv30/Pos xv300",fontsize=10,color="white",style="solid",shape="box"];71 -> 699[label="",style="solid", color="burlywood", weight=9]; 699 -> 101[label="",style="solid", color="burlywood", weight=3]; 700[label="xv30/Neg xv300",fontsize=10,color="white",style="solid",shape="box"];71 -> 700[label="",style="solid", color="burlywood", weight=9]; 700 -> 102[label="",style="solid", color="burlywood", weight=3]; 72[label="primEqDouble (Double xv300 xv301) xv40",fontsize=16,color="burlywood",shape="box"];701[label="xv40/Double xv400 xv401",fontsize=10,color="white",style="solid",shape="box"];72 -> 701[label="",style="solid", color="burlywood", weight=9]; 701 -> 103[label="",style="solid", color="burlywood", weight=3]; 73[label="xv300 : xv301 == xv400 : xv401",fontsize=16,color="black",shape="box"];73 -> 104[label="",style="solid", color="black", weight=3]; 74[label="xv300 : xv301 == []",fontsize=16,color="black",shape="box"];74 -> 105[label="",style="solid", color="black", weight=3]; 75[label="[] == xv400 : xv401",fontsize=16,color="black",shape="box"];75 -> 106[label="",style="solid", color="black", weight=3]; 76[label="[] == []",fontsize=16,color="black",shape="box"];76 -> 107[label="",style="solid", color="black", weight=3]; 77[label="(xv300,xv301,xv302) == (xv400,xv401,xv402)",fontsize=16,color="black",shape="box"];77 -> 108[label="",style="solid", color="black", weight=3]; 78[label="() == ()",fontsize=16,color="black",shape="box"];78 -> 109[label="",style="solid", color="black", weight=3]; 79[label="LT == LT",fontsize=16,color="black",shape="box"];79 -> 110[label="",style="solid", color="black", weight=3]; 80[label="LT == EQ",fontsize=16,color="black",shape="box"];80 -> 111[label="",style="solid", color="black", weight=3]; 81[label="LT == GT",fontsize=16,color="black",shape="box"];81 -> 112[label="",style="solid", color="black", weight=3]; 82[label="EQ == LT",fontsize=16,color="black",shape="box"];82 -> 113[label="",style="solid", color="black", weight=3]; 83[label="EQ == EQ",fontsize=16,color="black",shape="box"];83 -> 114[label="",style="solid", color="black", weight=3]; 84[label="EQ == GT",fontsize=16,color="black",shape="box"];84 -> 115[label="",style="solid", color="black", weight=3]; 85[label="GT == LT",fontsize=16,color="black",shape="box"];85 -> 116[label="",style="solid", color="black", weight=3]; 86[label="GT == EQ",fontsize=16,color="black",shape="box"];86 -> 117[label="",style="solid", color="black", weight=3]; 87[label="GT == GT",fontsize=16,color="black",shape="box"];87 -> 118[label="",style="solid", color="black", weight=3]; 88[label="primEqChar (Char xv300) xv40",fontsize=16,color="burlywood",shape="box"];702[label="xv40/Char xv400",fontsize=10,color="white",style="solid",shape="box"];88 -> 702[label="",style="solid", color="burlywood", weight=9]; 702 -> 119[label="",style="solid", color="burlywood", weight=3]; 89[label="False == False",fontsize=16,color="black",shape="box"];89 -> 120[label="",style="solid", color="black", weight=3]; 90[label="False == True",fontsize=16,color="black",shape="box"];90 -> 121[label="",style="solid", color="black", weight=3]; 91[label="True == False",fontsize=16,color="black",shape="box"];91 -> 122[label="",style="solid", color="black", weight=3]; 92[label="True == True",fontsize=16,color="black",shape="box"];92 -> 123[label="",style="solid", color="black", weight=3]; 93[label="Left xv300 == Left xv400",fontsize=16,color="black",shape="box"];93 -> 124[label="",style="solid", color="black", weight=3]; 94[label="Left xv300 == Right xv400",fontsize=16,color="black",shape="box"];94 -> 125[label="",style="solid", color="black", weight=3]; 95[label="Right xv300 == Left xv400",fontsize=16,color="black",shape="box"];95 -> 126[label="",style="solid", color="black", weight=3]; 96[label="Right xv300 == Right xv400",fontsize=16,color="black",shape="box"];96 -> 127[label="",style="solid", color="black", weight=3]; 97[label="Integer xv300 == Integer xv400",fontsize=16,color="black",shape="box"];97 -> 128[label="",style="solid", color="black", weight=3]; 98[label="(xv300,xv301) == (xv400,xv401)",fontsize=16,color="black",shape="box"];98 -> 129[label="",style="solid", color="black", weight=3]; 99[label="primEqFloat (Float xv300 xv301) xv40",fontsize=16,color="burlywood",shape="box"];703[label="xv40/Float xv400 xv401",fontsize=10,color="white",style="solid",shape="box"];99 -> 703[label="",style="solid", color="burlywood", weight=9]; 703 -> 130[label="",style="solid", color="burlywood", weight=3]; 100[label="xv300 :% xv301 == xv400 :% xv401",fontsize=16,color="black",shape="box"];100 -> 131[label="",style="solid", color="black", weight=3]; 101[label="primEqInt (Pos xv300) xv40",fontsize=16,color="burlywood",shape="box"];704[label="xv300/Succ xv3000",fontsize=10,color="white",style="solid",shape="box"];101 -> 704[label="",style="solid", color="burlywood", weight=9]; 704 -> 132[label="",style="solid", color="burlywood", weight=3]; 705[label="xv300/Zero",fontsize=10,color="white",style="solid",shape="box"];101 -> 705[label="",style="solid", color="burlywood", weight=9]; 705 -> 133[label="",style="solid", color="burlywood", weight=3]; 102[label="primEqInt (Neg xv300) xv40",fontsize=16,color="burlywood",shape="box"];706[label="xv300/Succ xv3000",fontsize=10,color="white",style="solid",shape="box"];102 -> 706[label="",style="solid", color="burlywood", weight=9]; 706 -> 134[label="",style="solid", color="burlywood", weight=3]; 707[label="xv300/Zero",fontsize=10,color="white",style="solid",shape="box"];102 -> 707[label="",style="solid", color="burlywood", weight=9]; 707 -> 135[label="",style="solid", color="burlywood", weight=3]; 103[label="primEqDouble (Double xv300 xv301) (Double xv400 xv401)",fontsize=16,color="black",shape="box"];103 -> 136[label="",style="solid", color="black", weight=3]; 104 -> 192[label="",style="dashed", color="red", weight=0]; 104[label="xv300 == xv400 && xv301 == xv401",fontsize=16,color="magenta"];104 -> 193[label="",style="dashed", color="magenta", weight=3]; 104 -> 194[label="",style="dashed", color="magenta", weight=3]; 105[label="False",fontsize=16,color="green",shape="box"];106[label="False",fontsize=16,color="green",shape="box"];107[label="True",fontsize=16,color="green",shape="box"];108 -> 192[label="",style="dashed", color="red", weight=0]; 108[label="xv300 == xv400 && xv301 == xv401 && xv302 == xv402",fontsize=16,color="magenta"];108 -> 195[label="",style="dashed", color="magenta", weight=3]; 108 -> 196[label="",style="dashed", color="magenta", weight=3]; 109[label="True",fontsize=16,color="green",shape="box"];110[label="True",fontsize=16,color="green",shape="box"];111[label="False",fontsize=16,color="green",shape="box"];112[label="False",fontsize=16,color="green",shape="box"];113[label="False",fontsize=16,color="green",shape="box"];114[label="True",fontsize=16,color="green",shape="box"];115[label="False",fontsize=16,color="green",shape="box"];116[label="False",fontsize=16,color="green",shape="box"];117[label="False",fontsize=16,color="green",shape="box"];118[label="True",fontsize=16,color="green",shape="box"];119[label="primEqChar (Char xv300) (Char xv400)",fontsize=16,color="black",shape="box"];119 -> 148[label="",style="solid", color="black", weight=3]; 120[label="True",fontsize=16,color="green",shape="box"];121[label="False",fontsize=16,color="green",shape="box"];122[label="False",fontsize=16,color="green",shape="box"];123[label="True",fontsize=16,color="green",shape="box"];124[label="xv300 == xv400",fontsize=16,color="blue",shape="box"];708[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];124 -> 708[label="",style="solid", color="blue", weight=9]; 708 -> 149[label="",style="solid", color="blue", weight=3]; 709[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];124 -> 709[label="",style="solid", color="blue", weight=9]; 709 -> 150[label="",style="solid", color="blue", weight=3]; 710[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];124 -> 710[label="",style="solid", color="blue", weight=9]; 710 -> 151[label="",style="solid", color="blue", weight=3]; 711[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];124 -> 711[label="",style="solid", color="blue", weight=9]; 711 -> 152[label="",style="solid", color="blue", weight=3]; 712[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];124 -> 712[label="",style="solid", color="blue", weight=9]; 712 -> 153[label="",style="solid", color="blue", weight=3]; 713[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];124 -> 713[label="",style="solid", color="blue", weight=9]; 713 -> 154[label="",style="solid", color="blue", weight=3]; 714[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];124 -> 714[label="",style="solid", color="blue", weight=9]; 714 -> 155[label="",style="solid", color="blue", weight=3]; 715[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];124 -> 715[label="",style="solid", color="blue", weight=9]; 715 -> 156[label="",style="solid", color="blue", weight=3]; 716[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];124 -> 716[label="",style="solid", color="blue", weight=9]; 716 -> 157[label="",style="solid", color="blue", weight=3]; 717[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];124 -> 717[label="",style="solid", color="blue", weight=9]; 717 -> 158[label="",style="solid", color="blue", weight=3]; 718[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];124 -> 718[label="",style="solid", color="blue", weight=9]; 718 -> 159[label="",style="solid", color="blue", weight=3]; 719[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];124 -> 719[label="",style="solid", color="blue", weight=9]; 719 -> 160[label="",style="solid", color="blue", weight=3]; 720[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];124 -> 720[label="",style="solid", color="blue", weight=9]; 720 -> 161[label="",style="solid", color="blue", weight=3]; 721[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];124 -> 721[label="",style="solid", color="blue", weight=9]; 721 -> 162[label="",style="solid", color="blue", weight=3]; 125[label="False",fontsize=16,color="green",shape="box"];126[label="False",fontsize=16,color="green",shape="box"];127[label="xv300 == xv400",fontsize=16,color="blue",shape="box"];722[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];127 -> 722[label="",style="solid", color="blue", weight=9]; 722 -> 163[label="",style="solid", color="blue", weight=3]; 723[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];127 -> 723[label="",style="solid", color="blue", weight=9]; 723 -> 164[label="",style="solid", color="blue", weight=3]; 724[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];127 -> 724[label="",style="solid", color="blue", weight=9]; 724 -> 165[label="",style="solid", color="blue", weight=3]; 725[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];127 -> 725[label="",style="solid", color="blue", weight=9]; 725 -> 166[label="",style="solid", color="blue", weight=3]; 726[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];127 -> 726[label="",style="solid", color="blue", weight=9]; 726 -> 167[label="",style="solid", color="blue", weight=3]; 727[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];127 -> 727[label="",style="solid", color="blue", weight=9]; 727 -> 168[label="",style="solid", color="blue", weight=3]; 728[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];127 -> 728[label="",style="solid", color="blue", weight=9]; 728 -> 169[label="",style="solid", color="blue", weight=3]; 729[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];127 -> 729[label="",style="solid", color="blue", weight=9]; 729 -> 170[label="",style="solid", color="blue", weight=3]; 730[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];127 -> 730[label="",style="solid", color="blue", weight=9]; 730 -> 171[label="",style="solid", color="blue", weight=3]; 731[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];127 -> 731[label="",style="solid", color="blue", weight=9]; 731 -> 172[label="",style="solid", color="blue", weight=3]; 732[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];127 -> 732[label="",style="solid", color="blue", weight=9]; 732 -> 173[label="",style="solid", color="blue", weight=3]; 733[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];127 -> 733[label="",style="solid", color="blue", weight=9]; 733 -> 174[label="",style="solid", color="blue", weight=3]; 734[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];127 -> 734[label="",style="solid", color="blue", weight=9]; 734 -> 175[label="",style="solid", color="blue", weight=3]; 735[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];127 -> 735[label="",style="solid", color="blue", weight=9]; 735 -> 176[label="",style="solid", color="blue", weight=3]; 128 -> 71[label="",style="dashed", color="red", weight=0]; 128[label="primEqInt xv300 xv400",fontsize=16,color="magenta"];128 -> 177[label="",style="dashed", color="magenta", weight=3]; 128 -> 178[label="",style="dashed", color="magenta", weight=3]; 129 -> 192[label="",style="dashed", color="red", weight=0]; 129[label="xv300 == xv400 && xv301 == xv401",fontsize=16,color="magenta"];129 -> 197[label="",style="dashed", color="magenta", weight=3]; 129 -> 198[label="",style="dashed", color="magenta", weight=3]; 130[label="primEqFloat (Float xv300 xv301) (Float xv400 xv401)",fontsize=16,color="black",shape="box"];130 -> 179[label="",style="solid", color="black", weight=3]; 131 -> 192[label="",style="dashed", color="red", weight=0]; 131[label="xv300 == xv400 && xv301 == xv401",fontsize=16,color="magenta"];131 -> 199[label="",style="dashed", color="magenta", weight=3]; 131 -> 200[label="",style="dashed", color="magenta", weight=3]; 132[label="primEqInt (Pos (Succ xv3000)) xv40",fontsize=16,color="burlywood",shape="box"];736[label="xv40/Pos xv400",fontsize=10,color="white",style="solid",shape="box"];132 -> 736[label="",style="solid", color="burlywood", weight=9]; 736 -> 180[label="",style="solid", color="burlywood", weight=3]; 737[label="xv40/Neg xv400",fontsize=10,color="white",style="solid",shape="box"];132 -> 737[label="",style="solid", color="burlywood", weight=9]; 737 -> 181[label="",style="solid", color="burlywood", weight=3]; 133[label="primEqInt (Pos Zero) xv40",fontsize=16,color="burlywood",shape="box"];738[label="xv40/Pos xv400",fontsize=10,color="white",style="solid",shape="box"];133 -> 738[label="",style="solid", color="burlywood", weight=9]; 738 -> 182[label="",style="solid", color="burlywood", weight=3]; 739[label="xv40/Neg xv400",fontsize=10,color="white",style="solid",shape="box"];133 -> 739[label="",style="solid", color="burlywood", weight=9]; 739 -> 183[label="",style="solid", color="burlywood", weight=3]; 134[label="primEqInt (Neg (Succ xv3000)) xv40",fontsize=16,color="burlywood",shape="box"];740[label="xv40/Pos xv400",fontsize=10,color="white",style="solid",shape="box"];134 -> 740[label="",style="solid", color="burlywood", weight=9]; 740 -> 184[label="",style="solid", color="burlywood", weight=3]; 741[label="xv40/Neg xv400",fontsize=10,color="white",style="solid",shape="box"];134 -> 741[label="",style="solid", color="burlywood", weight=9]; 741 -> 185[label="",style="solid", color="burlywood", weight=3]; 135[label="primEqInt (Neg Zero) xv40",fontsize=16,color="burlywood",shape="box"];742[label="xv40/Pos xv400",fontsize=10,color="white",style="solid",shape="box"];135 -> 742[label="",style="solid", color="burlywood", weight=9]; 742 -> 186[label="",style="solid", color="burlywood", weight=3]; 743[label="xv40/Neg xv400",fontsize=10,color="white",style="solid",shape="box"];135 -> 743[label="",style="solid", color="burlywood", weight=9]; 743 -> 187[label="",style="solid", color="burlywood", weight=3]; 136 -> 51[label="",style="dashed", color="red", weight=0]; 136[label="xv300 * xv401 == xv301 * xv400",fontsize=16,color="magenta"];136 -> 188[label="",style="dashed", color="magenta", weight=3]; 136 -> 189[label="",style="dashed", color="magenta", weight=3]; 193[label="xv300 == xv400",fontsize=16,color="blue",shape="box"];744[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];193 -> 744[label="",style="solid", color="blue", weight=9]; 744 -> 205[label="",style="solid", color="blue", weight=3]; 745[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];193 -> 745[label="",style="solid", color="blue", weight=9]; 745 -> 206[label="",style="solid", color="blue", weight=3]; 746[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];193 -> 746[label="",style="solid", color="blue", weight=9]; 746 -> 207[label="",style="solid", color="blue", weight=3]; 747[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];193 -> 747[label="",style="solid", color="blue", weight=9]; 747 -> 208[label="",style="solid", color="blue", weight=3]; 748[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];193 -> 748[label="",style="solid", color="blue", weight=9]; 748 -> 209[label="",style="solid", color="blue", weight=3]; 749[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];193 -> 749[label="",style="solid", color="blue", weight=9]; 749 -> 210[label="",style="solid", color="blue", weight=3]; 750[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];193 -> 750[label="",style="solid", color="blue", weight=9]; 750 -> 211[label="",style="solid", color="blue", weight=3]; 751[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];193 -> 751[label="",style="solid", color="blue", weight=9]; 751 -> 212[label="",style="solid", color="blue", weight=3]; 752[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];193 -> 752[label="",style="solid", color="blue", weight=9]; 752 -> 213[label="",style="solid", color="blue", weight=3]; 753[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];193 -> 753[label="",style="solid", color="blue", weight=9]; 753 -> 214[label="",style="solid", color="blue", weight=3]; 754[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];193 -> 754[label="",style="solid", color="blue", weight=9]; 754 -> 215[label="",style="solid", color="blue", weight=3]; 755[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];193 -> 755[label="",style="solid", color="blue", weight=9]; 755 -> 216[label="",style="solid", color="blue", weight=3]; 756[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];193 -> 756[label="",style="solid", color="blue", weight=9]; 756 -> 217[label="",style="solid", color="blue", weight=3]; 757[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];193 -> 757[label="",style="solid", color="blue", weight=9]; 757 -> 218[label="",style="solid", color="blue", weight=3]; 194 -> 39[label="",style="dashed", color="red", weight=0]; 194[label="xv301 == xv401",fontsize=16,color="magenta"];194 -> 219[label="",style="dashed", color="magenta", weight=3]; 194 -> 220[label="",style="dashed", color="magenta", weight=3]; 192[label="xv12 && xv13",fontsize=16,color="burlywood",shape="triangle"];758[label="xv12/False",fontsize=10,color="white",style="solid",shape="box"];192 -> 758[label="",style="solid", color="burlywood", weight=9]; 758 -> 221[label="",style="solid", color="burlywood", weight=3]; 759[label="xv12/True",fontsize=10,color="white",style="solid",shape="box"];192 -> 759[label="",style="solid", color="burlywood", weight=9]; 759 -> 222[label="",style="solid", color="burlywood", weight=3]; 195[label="xv300 == xv400",fontsize=16,color="blue",shape="box"];760[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];195 -> 760[label="",style="solid", color="blue", weight=9]; 760 -> 223[label="",style="solid", color="blue", weight=3]; 761[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];195 -> 761[label="",style="solid", color="blue", weight=9]; 761 -> 224[label="",style="solid", color="blue", weight=3]; 762[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];195 -> 762[label="",style="solid", color="blue", weight=9]; 762 -> 225[label="",style="solid", color="blue", weight=3]; 763[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];195 -> 763[label="",style="solid", color="blue", weight=9]; 763 -> 226[label="",style="solid", color="blue", weight=3]; 764[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];195 -> 764[label="",style="solid", color="blue", weight=9]; 764 -> 227[label="",style="solid", color="blue", weight=3]; 765[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];195 -> 765[label="",style="solid", color="blue", weight=9]; 765 -> 228[label="",style="solid", color="blue", weight=3]; 766[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];195 -> 766[label="",style="solid", color="blue", weight=9]; 766 -> 229[label="",style="solid", color="blue", weight=3]; 767[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];195 -> 767[label="",style="solid", color="blue", weight=9]; 767 -> 230[label="",style="solid", color="blue", weight=3]; 768[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];195 -> 768[label="",style="solid", color="blue", weight=9]; 768 -> 231[label="",style="solid", color="blue", weight=3]; 769[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];195 -> 769[label="",style="solid", color="blue", weight=9]; 769 -> 232[label="",style="solid", color="blue", weight=3]; 770[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];195 -> 770[label="",style="solid", color="blue", weight=9]; 770 -> 233[label="",style="solid", color="blue", weight=3]; 771[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];195 -> 771[label="",style="solid", color="blue", weight=9]; 771 -> 234[label="",style="solid", color="blue", weight=3]; 772[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];195 -> 772[label="",style="solid", color="blue", weight=9]; 772 -> 235[label="",style="solid", color="blue", weight=3]; 773[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];195 -> 773[label="",style="solid", color="blue", weight=9]; 773 -> 236[label="",style="solid", color="blue", weight=3]; 196 -> 192[label="",style="dashed", color="red", weight=0]; 196[label="xv301 == xv401 && xv302 == xv402",fontsize=16,color="magenta"];196 -> 237[label="",style="dashed", color="magenta", weight=3]; 196 -> 238[label="",style="dashed", color="magenta", weight=3]; 148[label="primEqNat xv300 xv400",fontsize=16,color="burlywood",shape="triangle"];774[label="xv300/Succ xv3000",fontsize=10,color="white",style="solid",shape="box"];148 -> 774[label="",style="solid", color="burlywood", weight=9]; 774 -> 239[label="",style="solid", color="burlywood", weight=3]; 775[label="xv300/Zero",fontsize=10,color="white",style="solid",shape="box"];148 -> 775[label="",style="solid", color="burlywood", weight=9]; 775 -> 240[label="",style="solid", color="burlywood", weight=3]; 149 -> 38[label="",style="dashed", color="red", weight=0]; 149[label="xv300 == xv400",fontsize=16,color="magenta"];149 -> 241[label="",style="dashed", color="magenta", weight=3]; 149 -> 242[label="",style="dashed", color="magenta", weight=3]; 150 -> 39[label="",style="dashed", color="red", weight=0]; 150[label="xv300 == xv400",fontsize=16,color="magenta"];150 -> 243[label="",style="dashed", color="magenta", weight=3]; 150 -> 244[label="",style="dashed", color="magenta", weight=3]; 151 -> 40[label="",style="dashed", color="red", weight=0]; 151[label="xv300 == xv400",fontsize=16,color="magenta"];151 -> 245[label="",style="dashed", color="magenta", weight=3]; 151 -> 246[label="",style="dashed", color="magenta", weight=3]; 152 -> 41[label="",style="dashed", color="red", weight=0]; 152[label="xv300 == xv400",fontsize=16,color="magenta"];152 -> 247[label="",style="dashed", color="magenta", weight=3]; 152 -> 248[label="",style="dashed", color="magenta", weight=3]; 153 -> 42[label="",style="dashed", color="red", weight=0]; 153[label="xv300 == xv400",fontsize=16,color="magenta"];153 -> 249[label="",style="dashed", color="magenta", weight=3]; 153 -> 250[label="",style="dashed", color="magenta", weight=3]; 154 -> 43[label="",style="dashed", color="red", weight=0]; 154[label="xv300 == xv400",fontsize=16,color="magenta"];154 -> 251[label="",style="dashed", color="magenta", weight=3]; 154 -> 252[label="",style="dashed", color="magenta", weight=3]; 155 -> 44[label="",style="dashed", color="red", weight=0]; 155[label="xv300 == xv400",fontsize=16,color="magenta"];155 -> 253[label="",style="dashed", color="magenta", weight=3]; 155 -> 254[label="",style="dashed", color="magenta", weight=3]; 156 -> 45[label="",style="dashed", color="red", weight=0]; 156[label="xv300 == xv400",fontsize=16,color="magenta"];156 -> 255[label="",style="dashed", color="magenta", weight=3]; 156 -> 256[label="",style="dashed", color="magenta", weight=3]; 157 -> 46[label="",style="dashed", color="red", weight=0]; 157[label="xv300 == xv400",fontsize=16,color="magenta"];157 -> 257[label="",style="dashed", color="magenta", weight=3]; 157 -> 258[label="",style="dashed", color="magenta", weight=3]; 158 -> 47[label="",style="dashed", color="red", weight=0]; 158[label="xv300 == xv400",fontsize=16,color="magenta"];158 -> 259[label="",style="dashed", color="magenta", weight=3]; 158 -> 260[label="",style="dashed", color="magenta", weight=3]; 159 -> 48[label="",style="dashed", color="red", weight=0]; 159[label="xv300 == xv400",fontsize=16,color="magenta"];159 -> 261[label="",style="dashed", color="magenta", weight=3]; 159 -> 262[label="",style="dashed", color="magenta", weight=3]; 160 -> 49[label="",style="dashed", color="red", weight=0]; 160[label="xv300 == xv400",fontsize=16,color="magenta"];160 -> 263[label="",style="dashed", color="magenta", weight=3]; 160 -> 264[label="",style="dashed", color="magenta", weight=3]; 161 -> 19[label="",style="dashed", color="red", weight=0]; 161[label="xv300 == xv400",fontsize=16,color="magenta"];161 -> 265[label="",style="dashed", color="magenta", weight=3]; 161 -> 266[label="",style="dashed", color="magenta", weight=3]; 162 -> 51[label="",style="dashed", color="red", weight=0]; 162[label="xv300 == xv400",fontsize=16,color="magenta"];162 -> 267[label="",style="dashed", color="magenta", weight=3]; 162 -> 268[label="",style="dashed", color="magenta", weight=3]; 163 -> 38[label="",style="dashed", color="red", weight=0]; 163[label="xv300 == xv400",fontsize=16,color="magenta"];163 -> 269[label="",style="dashed", color="magenta", weight=3]; 163 -> 270[label="",style="dashed", color="magenta", weight=3]; 164 -> 39[label="",style="dashed", color="red", weight=0]; 164[label="xv300 == xv400",fontsize=16,color="magenta"];164 -> 271[label="",style="dashed", color="magenta", weight=3]; 164 -> 272[label="",style="dashed", color="magenta", weight=3]; 165 -> 40[label="",style="dashed", color="red", weight=0]; 165[label="xv300 == xv400",fontsize=16,color="magenta"];165 -> 273[label="",style="dashed", color="magenta", weight=3]; 165 -> 274[label="",style="dashed", color="magenta", weight=3]; 166 -> 41[label="",style="dashed", color="red", weight=0]; 166[label="xv300 == xv400",fontsize=16,color="magenta"];166 -> 275[label="",style="dashed", color="magenta", weight=3]; 166 -> 276[label="",style="dashed", color="magenta", weight=3]; 167 -> 42[label="",style="dashed", color="red", weight=0]; 167[label="xv300 == xv400",fontsize=16,color="magenta"];167 -> 277[label="",style="dashed", color="magenta", weight=3]; 167 -> 278[label="",style="dashed", color="magenta", weight=3]; 168 -> 43[label="",style="dashed", color="red", weight=0]; 168[label="xv300 == xv400",fontsize=16,color="magenta"];168 -> 279[label="",style="dashed", color="magenta", weight=3]; 168 -> 280[label="",style="dashed", color="magenta", weight=3]; 169 -> 44[label="",style="dashed", color="red", weight=0]; 169[label="xv300 == xv400",fontsize=16,color="magenta"];169 -> 281[label="",style="dashed", color="magenta", weight=3]; 169 -> 282[label="",style="dashed", color="magenta", weight=3]; 170 -> 45[label="",style="dashed", color="red", weight=0]; 170[label="xv300 == xv400",fontsize=16,color="magenta"];170 -> 283[label="",style="dashed", color="magenta", weight=3]; 170 -> 284[label="",style="dashed", color="magenta", weight=3]; 171 -> 46[label="",style="dashed", color="red", weight=0]; 171[label="xv300 == xv400",fontsize=16,color="magenta"];171 -> 285[label="",style="dashed", color="magenta", weight=3]; 171 -> 286[label="",style="dashed", color="magenta", weight=3]; 172 -> 47[label="",style="dashed", color="red", weight=0]; 172[label="xv300 == xv400",fontsize=16,color="magenta"];172 -> 287[label="",style="dashed", color="magenta", weight=3]; 172 -> 288[label="",style="dashed", color="magenta", weight=3]; 173 -> 48[label="",style="dashed", color="red", weight=0]; 173[label="xv300 == xv400",fontsize=16,color="magenta"];173 -> 289[label="",style="dashed", color="magenta", weight=3]; 173 -> 290[label="",style="dashed", color="magenta", weight=3]; 174 -> 49[label="",style="dashed", color="red", weight=0]; 174[label="xv300 == xv400",fontsize=16,color="magenta"];174 -> 291[label="",style="dashed", color="magenta", weight=3]; 174 -> 292[label="",style="dashed", color="magenta", weight=3]; 175 -> 19[label="",style="dashed", color="red", weight=0]; 175[label="xv300 == xv400",fontsize=16,color="magenta"];175 -> 293[label="",style="dashed", color="magenta", weight=3]; 175 -> 294[label="",style="dashed", color="magenta", weight=3]; 176 -> 51[label="",style="dashed", color="red", weight=0]; 176[label="xv300 == xv400",fontsize=16,color="magenta"];176 -> 295[label="",style="dashed", color="magenta", weight=3]; 176 -> 296[label="",style="dashed", color="magenta", weight=3]; 177[label="xv300",fontsize=16,color="green",shape="box"];178[label="xv400",fontsize=16,color="green",shape="box"];197[label="xv300 == xv400",fontsize=16,color="blue",shape="box"];776[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];197 -> 776[label="",style="solid", color="blue", weight=9]; 776 -> 297[label="",style="solid", color="blue", weight=3]; 777[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];197 -> 777[label="",style="solid", color="blue", weight=9]; 777 -> 298[label="",style="solid", color="blue", weight=3]; 778[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];197 -> 778[label="",style="solid", color="blue", weight=9]; 778 -> 299[label="",style="solid", color="blue", weight=3]; 779[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];197 -> 779[label="",style="solid", color="blue", weight=9]; 779 -> 300[label="",style="solid", color="blue", weight=3]; 780[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];197 -> 780[label="",style="solid", color="blue", weight=9]; 780 -> 301[label="",style="solid", color="blue", weight=3]; 781[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];197 -> 781[label="",style="solid", color="blue", weight=9]; 781 -> 302[label="",style="solid", color="blue", weight=3]; 782[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];197 -> 782[label="",style="solid", color="blue", weight=9]; 782 -> 303[label="",style="solid", color="blue", weight=3]; 783[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];197 -> 783[label="",style="solid", color="blue", weight=9]; 783 -> 304[label="",style="solid", color="blue", weight=3]; 784[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];197 -> 784[label="",style="solid", color="blue", weight=9]; 784 -> 305[label="",style="solid", color="blue", weight=3]; 785[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];197 -> 785[label="",style="solid", color="blue", weight=9]; 785 -> 306[label="",style="solid", color="blue", weight=3]; 786[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];197 -> 786[label="",style="solid", color="blue", weight=9]; 786 -> 307[label="",style="solid", color="blue", weight=3]; 787[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];197 -> 787[label="",style="solid", color="blue", weight=9]; 787 -> 308[label="",style="solid", color="blue", weight=3]; 788[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];197 -> 788[label="",style="solid", color="blue", weight=9]; 788 -> 309[label="",style="solid", color="blue", weight=3]; 789[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];197 -> 789[label="",style="solid", color="blue", weight=9]; 789 -> 310[label="",style="solid", color="blue", weight=3]; 198[label="xv301 == xv401",fontsize=16,color="blue",shape="box"];790[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];198 -> 790[label="",style="solid", color="blue", weight=9]; 790 -> 311[label="",style="solid", color="blue", weight=3]; 791[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];198 -> 791[label="",style="solid", color="blue", weight=9]; 791 -> 312[label="",style="solid", color="blue", weight=3]; 792[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];198 -> 792[label="",style="solid", color="blue", weight=9]; 792 -> 313[label="",style="solid", color="blue", weight=3]; 793[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];198 -> 793[label="",style="solid", color="blue", weight=9]; 793 -> 314[label="",style="solid", color="blue", weight=3]; 794[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];198 -> 794[label="",style="solid", color="blue", weight=9]; 794 -> 315[label="",style="solid", color="blue", weight=3]; 795[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];198 -> 795[label="",style="solid", color="blue", weight=9]; 795 -> 316[label="",style="solid", color="blue", weight=3]; 796[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];198 -> 796[label="",style="solid", color="blue", weight=9]; 796 -> 317[label="",style="solid", color="blue", weight=3]; 797[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];198 -> 797[label="",style="solid", color="blue", weight=9]; 797 -> 318[label="",style="solid", color="blue", weight=3]; 798[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];198 -> 798[label="",style="solid", color="blue", weight=9]; 798 -> 319[label="",style="solid", color="blue", weight=3]; 799[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];198 -> 799[label="",style="solid", color="blue", weight=9]; 799 -> 320[label="",style="solid", color="blue", weight=3]; 800[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];198 -> 800[label="",style="solid", color="blue", weight=9]; 800 -> 321[label="",style="solid", color="blue", weight=3]; 801[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];198 -> 801[label="",style="solid", color="blue", weight=9]; 801 -> 322[label="",style="solid", color="blue", weight=3]; 802[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];198 -> 802[label="",style="solid", color="blue", weight=9]; 802 -> 323[label="",style="solid", color="blue", weight=3]; 803[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];198 -> 803[label="",style="solid", color="blue", weight=9]; 803 -> 324[label="",style="solid", color="blue", weight=3]; 179 -> 51[label="",style="dashed", color="red", weight=0]; 179[label="xv300 * xv401 == xv301 * xv400",fontsize=16,color="magenta"];179 -> 325[label="",style="dashed", color="magenta", weight=3]; 179 -> 326[label="",style="dashed", color="magenta", weight=3]; 199[label="xv300 == xv400",fontsize=16,color="blue",shape="box"];804[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];199 -> 804[label="",style="solid", color="blue", weight=9]; 804 -> 327[label="",style="solid", color="blue", weight=3]; 805[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];199 -> 805[label="",style="solid", color="blue", weight=9]; 805 -> 328[label="",style="solid", color="blue", weight=3]; 200[label="xv301 == xv401",fontsize=16,color="blue",shape="box"];806[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];200 -> 806[label="",style="solid", color="blue", weight=9]; 806 -> 329[label="",style="solid", color="blue", weight=3]; 807[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];200 -> 807[label="",style="solid", color="blue", weight=9]; 807 -> 330[label="",style="solid", color="blue", weight=3]; 180[label="primEqInt (Pos (Succ xv3000)) (Pos xv400)",fontsize=16,color="burlywood",shape="box"];808[label="xv400/Succ xv4000",fontsize=10,color="white",style="solid",shape="box"];180 -> 808[label="",style="solid", color="burlywood", weight=9]; 808 -> 331[label="",style="solid", color="burlywood", weight=3]; 809[label="xv400/Zero",fontsize=10,color="white",style="solid",shape="box"];180 -> 809[label="",style="solid", color="burlywood", weight=9]; 809 -> 332[label="",style="solid", color="burlywood", weight=3]; 181[label="primEqInt (Pos (Succ xv3000)) (Neg xv400)",fontsize=16,color="black",shape="box"];181 -> 333[label="",style="solid", color="black", weight=3]; 182[label="primEqInt (Pos Zero) (Pos xv400)",fontsize=16,color="burlywood",shape="box"];810[label="xv400/Succ xv4000",fontsize=10,color="white",style="solid",shape="box"];182 -> 810[label="",style="solid", color="burlywood", weight=9]; 810 -> 334[label="",style="solid", color="burlywood", weight=3]; 811[label="xv400/Zero",fontsize=10,color="white",style="solid",shape="box"];182 -> 811[label="",style="solid", color="burlywood", weight=9]; 811 -> 335[label="",style="solid", color="burlywood", weight=3]; 183[label="primEqInt (Pos Zero) (Neg xv400)",fontsize=16,color="burlywood",shape="box"];812[label="xv400/Succ xv4000",fontsize=10,color="white",style="solid",shape="box"];183 -> 812[label="",style="solid", color="burlywood", weight=9]; 812 -> 336[label="",style="solid", color="burlywood", weight=3]; 813[label="xv400/Zero",fontsize=10,color="white",style="solid",shape="box"];183 -> 813[label="",style="solid", color="burlywood", weight=9]; 813 -> 337[label="",style="solid", color="burlywood", weight=3]; 184[label="primEqInt (Neg (Succ xv3000)) (Pos xv400)",fontsize=16,color="black",shape="box"];184 -> 338[label="",style="solid", color="black", weight=3]; 185[label="primEqInt (Neg (Succ xv3000)) (Neg xv400)",fontsize=16,color="burlywood",shape="box"];814[label="xv400/Succ xv4000",fontsize=10,color="white",style="solid",shape="box"];185 -> 814[label="",style="solid", color="burlywood", weight=9]; 814 -> 339[label="",style="solid", color="burlywood", weight=3]; 815[label="xv400/Zero",fontsize=10,color="white",style="solid",shape="box"];185 -> 815[label="",style="solid", color="burlywood", weight=9]; 815 -> 340[label="",style="solid", color="burlywood", weight=3]; 186[label="primEqInt (Neg Zero) (Pos xv400)",fontsize=16,color="burlywood",shape="box"];816[label="xv400/Succ xv4000",fontsize=10,color="white",style="solid",shape="box"];186 -> 816[label="",style="solid", color="burlywood", weight=9]; 816 -> 341[label="",style="solid", color="burlywood", weight=3]; 817[label="xv400/Zero",fontsize=10,color="white",style="solid",shape="box"];186 -> 817[label="",style="solid", color="burlywood", weight=9]; 817 -> 342[label="",style="solid", color="burlywood", weight=3]; 187[label="primEqInt (Neg Zero) (Neg xv400)",fontsize=16,color="burlywood",shape="box"];818[label="xv400/Succ xv4000",fontsize=10,color="white",style="solid",shape="box"];187 -> 818[label="",style="solid", color="burlywood", weight=9]; 818 -> 343[label="",style="solid", color="burlywood", weight=3]; 819[label="xv400/Zero",fontsize=10,color="white",style="solid",shape="box"];187 -> 819[label="",style="solid", color="burlywood", weight=9]; 819 -> 344[label="",style="solid", color="burlywood", weight=3]; 188[label="xv300 * xv401",fontsize=16,color="black",shape="triangle"];188 -> 345[label="",style="solid", color="black", weight=3]; 189 -> 188[label="",style="dashed", color="red", weight=0]; 189[label="xv301 * xv400",fontsize=16,color="magenta"];189 -> 346[label="",style="dashed", color="magenta", weight=3]; 189 -> 347[label="",style="dashed", color="magenta", weight=3]; 205 -> 38[label="",style="dashed", color="red", weight=0]; 205[label="xv300 == xv400",fontsize=16,color="magenta"];205 -> 348[label="",style="dashed", color="magenta", weight=3]; 205 -> 349[label="",style="dashed", color="magenta", weight=3]; 206 -> 39[label="",style="dashed", color="red", weight=0]; 206[label="xv300 == xv400",fontsize=16,color="magenta"];206 -> 350[label="",style="dashed", color="magenta", weight=3]; 206 -> 351[label="",style="dashed", color="magenta", weight=3]; 207 -> 40[label="",style="dashed", color="red", weight=0]; 207[label="xv300 == xv400",fontsize=16,color="magenta"];207 -> 352[label="",style="dashed", color="magenta", weight=3]; 207 -> 353[label="",style="dashed", color="magenta", weight=3]; 208 -> 41[label="",style="dashed", color="red", weight=0]; 208[label="xv300 == xv400",fontsize=16,color="magenta"];208 -> 354[label="",style="dashed", color="magenta", weight=3]; 208 -> 355[label="",style="dashed", color="magenta", weight=3]; 209 -> 42[label="",style="dashed", color="red", weight=0]; 209[label="xv300 == xv400",fontsize=16,color="magenta"];209 -> 356[label="",style="dashed", color="magenta", weight=3]; 209 -> 357[label="",style="dashed", color="magenta", weight=3]; 210 -> 43[label="",style="dashed", color="red", weight=0]; 210[label="xv300 == xv400",fontsize=16,color="magenta"];210 -> 358[label="",style="dashed", color="magenta", weight=3]; 210 -> 359[label="",style="dashed", color="magenta", weight=3]; 211 -> 44[label="",style="dashed", color="red", weight=0]; 211[label="xv300 == xv400",fontsize=16,color="magenta"];211 -> 360[label="",style="dashed", color="magenta", weight=3]; 211 -> 361[label="",style="dashed", color="magenta", weight=3]; 212 -> 45[label="",style="dashed", color="red", weight=0]; 212[label="xv300 == xv400",fontsize=16,color="magenta"];212 -> 362[label="",style="dashed", color="magenta", weight=3]; 212 -> 363[label="",style="dashed", color="magenta", weight=3]; 213 -> 46[label="",style="dashed", color="red", weight=0]; 213[label="xv300 == xv400",fontsize=16,color="magenta"];213 -> 364[label="",style="dashed", color="magenta", weight=3]; 213 -> 365[label="",style="dashed", color="magenta", weight=3]; 214 -> 47[label="",style="dashed", color="red", weight=0]; 214[label="xv300 == xv400",fontsize=16,color="magenta"];214 -> 366[label="",style="dashed", color="magenta", weight=3]; 214 -> 367[label="",style="dashed", color="magenta", weight=3]; 215 -> 48[label="",style="dashed", color="red", weight=0]; 215[label="xv300 == xv400",fontsize=16,color="magenta"];215 -> 368[label="",style="dashed", color="magenta", weight=3]; 215 -> 369[label="",style="dashed", color="magenta", weight=3]; 216 -> 49[label="",style="dashed", color="red", weight=0]; 216[label="xv300 == xv400",fontsize=16,color="magenta"];216 -> 370[label="",style="dashed", color="magenta", weight=3]; 216 -> 371[label="",style="dashed", color="magenta", weight=3]; 217 -> 19[label="",style="dashed", color="red", weight=0]; 217[label="xv300 == xv400",fontsize=16,color="magenta"];217 -> 372[label="",style="dashed", color="magenta", weight=3]; 217 -> 373[label="",style="dashed", color="magenta", weight=3]; 218 -> 51[label="",style="dashed", color="red", weight=0]; 218[label="xv300 == xv400",fontsize=16,color="magenta"];218 -> 374[label="",style="dashed", color="magenta", weight=3]; 218 -> 375[label="",style="dashed", color="magenta", weight=3]; 219[label="xv301",fontsize=16,color="green",shape="box"];220[label="xv401",fontsize=16,color="green",shape="box"];221[label="False && xv13",fontsize=16,color="black",shape="box"];221 -> 376[label="",style="solid", color="black", weight=3]; 222[label="True && xv13",fontsize=16,color="black",shape="box"];222 -> 377[label="",style="solid", color="black", weight=3]; 223 -> 38[label="",style="dashed", color="red", weight=0]; 223[label="xv300 == xv400",fontsize=16,color="magenta"];223 -> 378[label="",style="dashed", color="magenta", weight=3]; 223 -> 379[label="",style="dashed", color="magenta", weight=3]; 224 -> 39[label="",style="dashed", color="red", weight=0]; 224[label="xv300 == 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xv400",fontsize=16,color="magenta"];236 -> 404[label="",style="dashed", color="magenta", weight=3]; 236 -> 405[label="",style="dashed", color="magenta", weight=3]; 237[label="xv301 == xv401",fontsize=16,color="blue",shape="box"];820[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];237 -> 820[label="",style="solid", color="blue", weight=9]; 820 -> 406[label="",style="solid", color="blue", weight=3]; 821[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];237 -> 821[label="",style="solid", color="blue", weight=9]; 821 -> 407[label="",style="solid", color="blue", weight=3]; 822[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];237 -> 822[label="",style="solid", color="blue", weight=9]; 822 -> 408[label="",style="solid", color="blue", weight=3]; 823[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];237 -> 823[label="",style="solid", color="blue", weight=9]; 823 -> 409[label="",style="solid", color="blue", weight=3]; 824[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];237 -> 824[label="",style="solid", color="blue", weight=9]; 824 -> 410[label="",style="solid", color="blue", weight=3]; 825[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];237 -> 825[label="",style="solid", color="blue", weight=9]; 825 -> 411[label="",style="solid", color="blue", weight=3]; 826[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];237 -> 826[label="",style="solid", color="blue", weight=9]; 826 -> 412[label="",style="solid", color="blue", weight=3]; 827[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];237 -> 827[label="",style="solid", color="blue", weight=9]; 827 -> 413[label="",style="solid", color="blue", weight=3]; 828[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];237 -> 828[label="",style="solid", color="blue", weight=9]; 828 -> 414[label="",style="solid", color="blue", weight=3]; 829[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];237 -> 829[label="",style="solid", color="blue", weight=9]; 829 -> 415[label="",style="solid", color="blue", weight=3]; 830[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];237 -> 830[label="",style="solid", color="blue", weight=9]; 830 -> 416[label="",style="solid", color="blue", weight=3]; 831[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];237 -> 831[label="",style="solid", color="blue", weight=9]; 831 -> 417[label="",style="solid", color="blue", weight=3]; 832[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];237 -> 832[label="",style="solid", color="blue", weight=9]; 832 -> 418[label="",style="solid", color="blue", weight=3]; 833[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];237 -> 833[label="",style="solid", color="blue", weight=9]; 833 -> 419[label="",style="solid", color="blue", weight=3]; 238[label="xv302 == xv402",fontsize=16,color="blue",shape="box"];834[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];238 -> 834[label="",style="solid", color="blue", weight=9]; 834 -> 420[label="",style="solid", color="blue", weight=3]; 835[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];238 -> 835[label="",style="solid", color="blue", weight=9]; 835 -> 421[label="",style="solid", color="blue", weight=3]; 836[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];238 -> 836[label="",style="solid", color="blue", weight=9]; 836 -> 422[label="",style="solid", color="blue", weight=3]; 837[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];238 -> 837[label="",style="solid", color="blue", weight=9]; 837 -> 423[label="",style="solid", color="blue", weight=3]; 838[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];238 -> 838[label="",style="solid", color="blue", weight=9]; 838 -> 424[label="",style="solid", color="blue", weight=3]; 839[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];238 -> 839[label="",style="solid", color="blue", weight=9]; 839 -> 425[label="",style="solid", color="blue", weight=3]; 840[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];238 -> 840[label="",style="solid", color="blue", weight=9]; 840 -> 426[label="",style="solid", color="blue", weight=3]; 841[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];238 -> 841[label="",style="solid", color="blue", weight=9]; 841 -> 427[label="",style="solid", color="blue", weight=3]; 842[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];238 -> 842[label="",style="solid", color="blue", weight=9]; 842 -> 428[label="",style="solid", color="blue", weight=3]; 843[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];238 -> 843[label="",style="solid", color="blue", weight=9]; 843 -> 429[label="",style="solid", color="blue", weight=3]; 844[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];238 -> 844[label="",style="solid", color="blue", weight=9]; 844 -> 430[label="",style="solid", color="blue", weight=3]; 845[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];238 -> 845[label="",style="solid", color="blue", weight=9]; 845 -> 431[label="",style="solid", color="blue", weight=3]; 846[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];238 -> 846[label="",style="solid", color="blue", weight=9]; 846 -> 432[label="",style="solid", color="blue", weight=3]; 847[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];238 -> 847[label="",style="solid", color="blue", weight=9]; 847 -> 433[label="",style="solid", color="blue", weight=3]; 239[label="primEqNat (Succ xv3000) xv400",fontsize=16,color="burlywood",shape="box"];848[label="xv400/Succ xv4000",fontsize=10,color="white",style="solid",shape="box"];239 -> 848[label="",style="solid", color="burlywood", weight=9]; 848 -> 434[label="",style="solid", color="burlywood", weight=3]; 849[label="xv400/Zero",fontsize=10,color="white",style="solid",shape="box"];239 -> 849[label="",style="solid", color="burlywood", weight=9]; 849 -> 435[label="",style="solid", color="burlywood", weight=3]; 240[label="primEqNat Zero 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241[label="xv300",fontsize=16,color="green",shape="box"];242[label="xv400",fontsize=16,color="green",shape="box"];243[label="xv300",fontsize=16,color="green",shape="box"];244[label="xv400",fontsize=16,color="green",shape="box"];245[label="xv300",fontsize=16,color="green",shape="box"];246[label="xv400",fontsize=16,color="green",shape="box"];247[label="xv300",fontsize=16,color="green",shape="box"];248[label="xv400",fontsize=16,color="green",shape="box"];249[label="xv300",fontsize=16,color="green",shape="box"];250[label="xv400",fontsize=16,color="green",shape="box"];251[label="xv300",fontsize=16,color="green",shape="box"];252[label="xv400",fontsize=16,color="green",shape="box"];253[label="xv300",fontsize=16,color="green",shape="box"];254[label="xv400",fontsize=16,color="green",shape="box"];255[label="xv300",fontsize=16,color="green",shape="box"];256[label="xv400",fontsize=16,color="green",shape="box"];257[label="xv300",fontsize=16,color="green",shape="box"];258[label="xv400",fontsize=16,color="green",shape="box"];259[label="xv300",fontsize=16,color="green",shape="box"];260[label="xv400",fontsize=16,color="green",shape="box"];261[label="xv300",fontsize=16,color="green",shape="box"];262[label="xv400",fontsize=16,color="green",shape="box"];263[label="xv300",fontsize=16,color="green",shape="box"];264[label="xv400",fontsize=16,color="green",shape="box"];265[label="xv400",fontsize=16,color="green",shape="box"];266[label="xv300",fontsize=16,color="green",shape="box"];267[label="xv300",fontsize=16,color="green",shape="box"];268[label="xv400",fontsize=16,color="green",shape="box"];269[label="xv300",fontsize=16,color="green",shape="box"];270[label="xv400",fontsize=16,color="green",shape="box"];271[label="xv300",fontsize=16,color="green",shape="box"];272[label="xv400",fontsize=16,color="green",shape="box"];273[label="xv300",fontsize=16,color="green",shape="box"];274[label="xv400",fontsize=16,color="green",shape="box"];275[label="xv300",fontsize=16,color="green",shape="box"];276[label="xv400",fontsize=16,color="green",shape="box"];277[label="xv300",fontsize=16,color="green",shape="box"];278[label="xv400",fontsize=16,color="green",shape="box"];279[label="xv300",fontsize=16,color="green",shape="box"];280[label="xv400",fontsize=16,color="green",shape="box"];281[label="xv300",fontsize=16,color="green",shape="box"];282[label="xv400",fontsize=16,color="green",shape="box"];283[label="xv300",fontsize=16,color="green",shape="box"];284[label="xv400",fontsize=16,color="green",shape="box"];285[label="xv300",fontsize=16,color="green",shape="box"];286[label="xv400",fontsize=16,color="green",shape="box"];287[label="xv300",fontsize=16,color="green",shape="box"];288[label="xv400",fontsize=16,color="green",shape="box"];289[label="xv300",fontsize=16,color="green",shape="box"];290[label="xv400",fontsize=16,color="green",shape="box"];291[label="xv300",fontsize=16,color="green",shape="box"];292[label="xv400",fontsize=16,color="green",shape="box"];293[label="xv400",fontsize=16,color="green",shape="box"];294[label="xv300",fontsize=16,color="green",shape="box"];295[label="xv300",fontsize=16,color="green",shape="box"];296[label="xv400",fontsize=16,color="green",shape="box"];297 -> 38[label="",style="dashed", color="red", weight=0]; 297[label="xv300 == xv400",fontsize=16,color="magenta"];297 -> 438[label="",style="dashed", color="magenta", weight=3]; 297 -> 439[label="",style="dashed", color="magenta", weight=3]; 298 -> 39[label="",style="dashed", color="red", weight=0]; 298[label="xv300 == xv400",fontsize=16,color="magenta"];298 -> 440[label="",style="dashed", color="magenta", weight=3]; 298 -> 441[label="",style="dashed", color="magenta", weight=3]; 299 -> 40[label="",style="dashed", color="red", weight=0]; 299[label="xv300 == xv400",fontsize=16,color="magenta"];299 -> 442[label="",style="dashed", color="magenta", weight=3]; 299 -> 443[label="",style="dashed", color="magenta", weight=3]; 300 -> 41[label="",style="dashed", color="red", weight=0]; 300[label="xv300 == xv400",fontsize=16,color="magenta"];300 -> 444[label="",style="dashed", color="magenta", weight=3]; 300 -> 445[label="",style="dashed", color="magenta", weight=3]; 301 -> 42[label="",style="dashed", color="red", weight=0]; 301[label="xv300 == xv400",fontsize=16,color="magenta"];301 -> 446[label="",style="dashed", color="magenta", weight=3]; 301 -> 447[label="",style="dashed", color="magenta", weight=3]; 302 -> 43[label="",style="dashed", color="red", weight=0]; 302[label="xv300 == xv400",fontsize=16,color="magenta"];302 -> 448[label="",style="dashed", color="magenta", weight=3]; 302 -> 449[label="",style="dashed", color="magenta", weight=3]; 303 -> 44[label="",style="dashed", color="red", weight=0]; 303[label="xv300 == xv400",fontsize=16,color="magenta"];303 -> 450[label="",style="dashed", color="magenta", weight=3]; 303 -> 451[label="",style="dashed", color="magenta", weight=3]; 304 -> 45[label="",style="dashed", color="red", weight=0]; 304[label="xv300 == xv400",fontsize=16,color="magenta"];304 -> 452[label="",style="dashed", color="magenta", weight=3]; 304 -> 453[label="",style="dashed", color="magenta", weight=3]; 305 -> 46[label="",style="dashed", color="red", weight=0]; 305[label="xv300 == xv400",fontsize=16,color="magenta"];305 -> 454[label="",style="dashed", color="magenta", weight=3]; 305 -> 455[label="",style="dashed", color="magenta", weight=3]; 306 -> 47[label="",style="dashed", color="red", weight=0]; 306[label="xv300 == xv400",fontsize=16,color="magenta"];306 -> 456[label="",style="dashed", color="magenta", weight=3]; 306 -> 457[label="",style="dashed", color="magenta", weight=3]; 307 -> 48[label="",style="dashed", color="red", weight=0]; 307[label="xv300 == xv400",fontsize=16,color="magenta"];307 -> 458[label="",style="dashed", color="magenta", weight=3]; 307 -> 459[label="",style="dashed", color="magenta", weight=3]; 308 -> 49[label="",style="dashed", color="red", weight=0]; 308[label="xv300 == xv400",fontsize=16,color="magenta"];308 -> 460[label="",style="dashed", color="magenta", weight=3]; 308 -> 461[label="",style="dashed", color="magenta", weight=3]; 309 -> 19[label="",style="dashed", color="red", weight=0]; 309[label="xv300 == xv400",fontsize=16,color="magenta"];309 -> 462[label="",style="dashed", color="magenta", weight=3]; 309 -> 463[label="",style="dashed", color="magenta", weight=3]; 310 -> 51[label="",style="dashed", color="red", weight=0]; 310[label="xv300 == xv400",fontsize=16,color="magenta"];310 -> 464[label="",style="dashed", color="magenta", weight=3]; 310 -> 465[label="",style="dashed", color="magenta", weight=3]; 311 -> 38[label="",style="dashed", color="red", weight=0]; 311[label="xv301 == xv401",fontsize=16,color="magenta"];311 -> 466[label="",style="dashed", color="magenta", weight=3]; 311 -> 467[label="",style="dashed", color="magenta", weight=3]; 312 -> 39[label="",style="dashed", color="red", weight=0]; 312[label="xv301 == xv401",fontsize=16,color="magenta"];312 -> 468[label="",style="dashed", color="magenta", weight=3]; 312 -> 469[label="",style="dashed", color="magenta", weight=3]; 313 -> 40[label="",style="dashed", color="red", weight=0]; 313[label="xv301 == xv401",fontsize=16,color="magenta"];313 -> 470[label="",style="dashed", color="magenta", weight=3]; 313 -> 471[label="",style="dashed", color="magenta", weight=3]; 314 -> 41[label="",style="dashed", color="red", weight=0]; 314[label="xv301 == xv401",fontsize=16,color="magenta"];314 -> 472[label="",style="dashed", color="magenta", weight=3]; 314 -> 473[label="",style="dashed", color="magenta", weight=3]; 315 -> 42[label="",style="dashed", color="red", weight=0]; 315[label="xv301 == xv401",fontsize=16,color="magenta"];315 -> 474[label="",style="dashed", color="magenta", weight=3]; 315 -> 475[label="",style="dashed", color="magenta", weight=3]; 316 -> 43[label="",style="dashed", color="red", weight=0]; 316[label="xv301 == xv401",fontsize=16,color="magenta"];316 -> 476[label="",style="dashed", color="magenta", weight=3]; 316 -> 477[label="",style="dashed", color="magenta", weight=3]; 317 -> 44[label="",style="dashed", color="red", weight=0]; 317[label="xv301 == xv401",fontsize=16,color="magenta"];317 -> 478[label="",style="dashed", color="magenta", weight=3]; 317 -> 479[label="",style="dashed", color="magenta", weight=3]; 318 -> 45[label="",style="dashed", color="red", weight=0]; 318[label="xv301 == xv401",fontsize=16,color="magenta"];318 -> 480[label="",style="dashed", color="magenta", weight=3]; 318 -> 481[label="",style="dashed", color="magenta", weight=3]; 319 -> 46[label="",style="dashed", color="red", weight=0]; 319[label="xv301 == xv401",fontsize=16,color="magenta"];319 -> 482[label="",style="dashed", color="magenta", weight=3]; 319 -> 483[label="",style="dashed", color="magenta", weight=3]; 320 -> 47[label="",style="dashed", color="red", weight=0]; 320[label="xv301 == xv401",fontsize=16,color="magenta"];320 -> 484[label="",style="dashed", color="magenta", weight=3]; 320 -> 485[label="",style="dashed", color="magenta", weight=3]; 321 -> 48[label="",style="dashed", color="red", weight=0]; 321[label="xv301 == xv401",fontsize=16,color="magenta"];321 -> 486[label="",style="dashed", color="magenta", weight=3]; 321 -> 487[label="",style="dashed", color="magenta", weight=3]; 322 -> 49[label="",style="dashed", color="red", weight=0]; 322[label="xv301 == xv401",fontsize=16,color="magenta"];322 -> 488[label="",style="dashed", color="magenta", weight=3]; 322 -> 489[label="",style="dashed", color="magenta", weight=3]; 323 -> 19[label="",style="dashed", color="red", weight=0]; 323[label="xv301 == xv401",fontsize=16,color="magenta"];323 -> 490[label="",style="dashed", color="magenta", weight=3]; 323 -> 491[label="",style="dashed", color="magenta", weight=3]; 324 -> 51[label="",style="dashed", color="red", weight=0]; 324[label="xv301 == xv401",fontsize=16,color="magenta"];324 -> 492[label="",style="dashed", color="magenta", weight=3]; 324 -> 493[label="",style="dashed", color="magenta", weight=3]; 325 -> 188[label="",style="dashed", color="red", weight=0]; 325[label="xv300 * xv401",fontsize=16,color="magenta"];325 -> 494[label="",style="dashed", color="magenta", weight=3]; 325 -> 495[label="",style="dashed", color="magenta", weight=3]; 326 -> 188[label="",style="dashed", color="red", weight=0]; 326[label="xv301 * xv400",fontsize=16,color="magenta"];326 -> 496[label="",style="dashed", color="magenta", weight=3]; 326 -> 497[label="",style="dashed", color="magenta", weight=3]; 327 -> 46[label="",style="dashed", color="red", weight=0]; 327[label="xv300 == xv400",fontsize=16,color="magenta"];327 -> 498[label="",style="dashed", color="magenta", weight=3]; 327 -> 499[label="",style="dashed", color="magenta", weight=3]; 328 -> 51[label="",style="dashed", color="red", weight=0]; 328[label="xv300 == xv400",fontsize=16,color="magenta"];328 -> 500[label="",style="dashed", color="magenta", weight=3]; 328 -> 501[label="",style="dashed", color="magenta", weight=3]; 329 -> 46[label="",style="dashed", color="red", weight=0]; 329[label="xv301 == xv401",fontsize=16,color="magenta"];329 -> 502[label="",style="dashed", color="magenta", weight=3]; 329 -> 503[label="",style="dashed", color="magenta", weight=3]; 330 -> 51[label="",style="dashed", color="red", weight=0]; 330[label="xv301 == xv401",fontsize=16,color="magenta"];330 -> 504[label="",style="dashed", color="magenta", weight=3]; 330 -> 505[label="",style="dashed", color="magenta", weight=3]; 331[label="primEqInt (Pos (Succ xv3000)) (Pos (Succ xv4000))",fontsize=16,color="black",shape="box"];331 -> 506[label="",style="solid", color="black", weight=3]; 332[label="primEqInt (Pos (Succ xv3000)) (Pos Zero)",fontsize=16,color="black",shape="box"];332 -> 507[label="",style="solid", color="black", weight=3]; 333[label="False",fontsize=16,color="green",shape="box"];334[label="primEqInt (Pos Zero) (Pos (Succ xv4000))",fontsize=16,color="black",shape="box"];334 -> 508[label="",style="solid", color="black", weight=3]; 335[label="primEqInt (Pos Zero) (Pos Zero)",fontsize=16,color="black",shape="box"];335 -> 509[label="",style="solid", color="black", weight=3]; 336[label="primEqInt (Pos Zero) (Neg (Succ xv4000))",fontsize=16,color="black",shape="box"];336 -> 510[label="",style="solid", color="black", weight=3]; 337[label="primEqInt (Pos Zero) (Neg Zero)",fontsize=16,color="black",shape="box"];337 -> 511[label="",style="solid", color="black", weight=3]; 338[label="False",fontsize=16,color="green",shape="box"];339[label="primEqInt (Neg (Succ xv3000)) (Neg (Succ xv4000))",fontsize=16,color="black",shape="box"];339 -> 512[label="",style="solid", color="black", weight=3]; 340[label="primEqInt (Neg (Succ xv3000)) (Neg Zero)",fontsize=16,color="black",shape="box"];340 -> 513[label="",style="solid", color="black", weight=3]; 341[label="primEqInt (Neg Zero) (Pos (Succ xv4000))",fontsize=16,color="black",shape="box"];341 -> 514[label="",style="solid", color="black", weight=3]; 342[label="primEqInt (Neg Zero) (Pos Zero)",fontsize=16,color="black",shape="box"];342 -> 515[label="",style="solid", color="black", weight=3]; 343[label="primEqInt (Neg Zero) (Neg (Succ xv4000))",fontsize=16,color="black",shape="box"];343 -> 516[label="",style="solid", color="black", weight=3]; 344[label="primEqInt (Neg Zero) (Neg Zero)",fontsize=16,color="black",shape="box"];344 -> 517[label="",style="solid", color="black", weight=3]; 345[label="primMulInt xv300 xv401",fontsize=16,color="burlywood",shape="box"];852[label="xv300/Pos xv3000",fontsize=10,color="white",style="solid",shape="box"];345 -> 852[label="",style="solid", color="burlywood", weight=9]; 852 -> 518[label="",style="solid", color="burlywood", weight=3]; 853[label="xv300/Neg xv3000",fontsize=10,color="white",style="solid",shape="box"];345 -> 853[label="",style="solid", color="burlywood", weight=9]; 853 -> 519[label="",style="solid", color="burlywood", weight=3]; 346[label="xv301",fontsize=16,color="green",shape="box"];347[label="xv400",fontsize=16,color="green",shape="box"];348[label="xv300",fontsize=16,color="green",shape="box"];349[label="xv400",fontsize=16,color="green",shape="box"];350[label="xv300",fontsize=16,color="green",shape="box"];351[label="xv400",fontsize=16,color="green",shape="box"];352[label="xv300",fontsize=16,color="green",shape="box"];353[label="xv400",fontsize=16,color="green",shape="box"];354[label="xv300",fontsize=16,color="green",shape="box"];355[label="xv400",fontsize=16,color="green",shape="box"];356[label="xv300",fontsize=16,color="green",shape="box"];357[label="xv400",fontsize=16,color="green",shape="box"];358[label="xv300",fontsize=16,color="green",shape="box"];359[label="xv400",fontsize=16,color="green",shape="box"];360[label="xv300",fontsize=16,color="green",shape="box"];361[label="xv400",fontsize=16,color="green",shape="box"];362[label="xv300",fontsize=16,color="green",shape="box"];363[label="xv400",fontsize=16,color="green",shape="box"];364[label="xv300",fontsize=16,color="green",shape="box"];365[label="xv400",fontsize=16,color="green",shape="box"];366[label="xv300",fontsize=16,color="green",shape="box"];367[label="xv400",fontsize=16,color="green",shape="box"];368[label="xv300",fontsize=16,color="green",shape="box"];369[label="xv400",fontsize=16,color="green",shape="box"];370[label="xv300",fontsize=16,color="green",shape="box"];371[label="xv400",fontsize=16,color="green",shape="box"];372[label="xv400",fontsize=16,color="green",shape="box"];373[label="xv300",fontsize=16,color="green",shape="box"];374[label="xv300",fontsize=16,color="green",shape="box"];375[label="xv400",fontsize=16,color="green",shape="box"];376[label="False",fontsize=16,color="green",shape="box"];377[label="xv13",fontsize=16,color="green",shape="box"];378[label="xv300",fontsize=16,color="green",shape="box"];379[label="xv400",fontsize=16,color="green",shape="box"];380[label="xv300",fontsize=16,color="green",shape="box"];381[label="xv400",fontsize=16,color="green",shape="box"];382[label="xv300",fontsize=16,color="green",shape="box"];383[label="xv400",fontsize=16,color="green",shape="box"];384[label="xv300",fontsize=16,color="green",shape="box"];385[label="xv400",fontsize=16,color="green",shape="box"];386[label="xv300",fontsize=16,color="green",shape="box"];387[label="xv400",fontsize=16,color="green",shape="box"];388[label="xv300",fontsize=16,color="green",shape="box"];389[label="xv400",fontsize=16,color="green",shape="box"];390[label="xv300",fontsize=16,color="green",shape="box"];391[label="xv400",fontsize=16,color="green",shape="box"];392[label="xv300",fontsize=16,color="green",shape="box"];393[label="xv400",fontsize=16,color="green",shape="box"];394[label="xv300",fontsize=16,color="green",shape="box"];395[label="xv400",fontsize=16,color="green",shape="box"];396[label="xv300",fontsize=16,color="green",shape="box"];397[label="xv400",fontsize=16,color="green",shape="box"];398[label="xv300",fontsize=16,color="green",shape="box"];399[label="xv400",fontsize=16,color="green",shape="box"];400[label="xv300",fontsize=16,color="green",shape="box"];401[label="xv400",fontsize=16,color="green",shape="box"];402[label="xv400",fontsize=16,color="green",shape="box"];403[label="xv300",fontsize=16,color="green",shape="box"];404[label="xv300",fontsize=16,color="green",shape="box"];405[label="xv400",fontsize=16,color="green",shape="box"];406 -> 38[label="",style="dashed", color="red", weight=0]; 406[label="xv301 == xv401",fontsize=16,color="magenta"];406 -> 520[label="",style="dashed", color="magenta", weight=3]; 406 -> 521[label="",style="dashed", color="magenta", weight=3]; 407 -> 39[label="",style="dashed", color="red", weight=0]; 407[label="xv301 == xv401",fontsize=16,color="magenta"];407 -> 522[label="",style="dashed", color="magenta", weight=3]; 407 -> 523[label="",style="dashed", color="magenta", weight=3]; 408 -> 40[label="",style="dashed", color="red", weight=0]; 408[label="xv301 == xv401",fontsize=16,color="magenta"];408 -> 524[label="",style="dashed", color="magenta", weight=3]; 408 -> 525[label="",style="dashed", color="magenta", weight=3]; 409 -> 41[label="",style="dashed", color="red", weight=0]; 409[label="xv301 == xv401",fontsize=16,color="magenta"];409 -> 526[label="",style="dashed", color="magenta", weight=3]; 409 -> 527[label="",style="dashed", color="magenta", weight=3]; 410 -> 42[label="",style="dashed", color="red", weight=0]; 410[label="xv301 == xv401",fontsize=16,color="magenta"];410 -> 528[label="",style="dashed", color="magenta", weight=3]; 410 -> 529[label="",style="dashed", color="magenta", weight=3]; 411 -> 43[label="",style="dashed", color="red", weight=0]; 411[label="xv301 == xv401",fontsize=16,color="magenta"];411 -> 530[label="",style="dashed", color="magenta", weight=3]; 411 -> 531[label="",style="dashed", color="magenta", weight=3]; 412 -> 44[label="",style="dashed", color="red", weight=0]; 412[label="xv301 == xv401",fontsize=16,color="magenta"];412 -> 532[label="",style="dashed", color="magenta", weight=3]; 412 -> 533[label="",style="dashed", color="magenta", weight=3]; 413 -> 45[label="",style="dashed", color="red", weight=0]; 413[label="xv301 == xv401",fontsize=16,color="magenta"];413 -> 534[label="",style="dashed", color="magenta", weight=3]; 413 -> 535[label="",style="dashed", color="magenta", weight=3]; 414 -> 46[label="",style="dashed", color="red", weight=0]; 414[label="xv301 == xv401",fontsize=16,color="magenta"];414 -> 536[label="",style="dashed", color="magenta", weight=3]; 414 -> 537[label="",style="dashed", color="magenta", weight=3]; 415 -> 47[label="",style="dashed", color="red", weight=0]; 415[label="xv301 == xv401",fontsize=16,color="magenta"];415 -> 538[label="",style="dashed", color="magenta", weight=3]; 415 -> 539[label="",style="dashed", color="magenta", weight=3]; 416 -> 48[label="",style="dashed", color="red", weight=0]; 416[label="xv301 == xv401",fontsize=16,color="magenta"];416 -> 540[label="",style="dashed", color="magenta", weight=3]; 416 -> 541[label="",style="dashed", color="magenta", weight=3]; 417 -> 49[label="",style="dashed", color="red", weight=0]; 417[label="xv301 == xv401",fontsize=16,color="magenta"];417 -> 542[label="",style="dashed", color="magenta", weight=3]; 417 -> 543[label="",style="dashed", color="magenta", weight=3]; 418 -> 19[label="",style="dashed", color="red", weight=0]; 418[label="xv301 == xv401",fontsize=16,color="magenta"];418 -> 544[label="",style="dashed", color="magenta", weight=3]; 418 -> 545[label="",style="dashed", color="magenta", weight=3]; 419 -> 51[label="",style="dashed", color="red", weight=0]; 419[label="xv301 == xv401",fontsize=16,color="magenta"];419 -> 546[label="",style="dashed", color="magenta", weight=3]; 419 -> 547[label="",style="dashed", color="magenta", weight=3]; 420 -> 38[label="",style="dashed", color="red", weight=0]; 420[label="xv302 == xv402",fontsize=16,color="magenta"];420 -> 548[label="",style="dashed", color="magenta", weight=3]; 420 -> 549[label="",style="dashed", color="magenta", weight=3]; 421 -> 39[label="",style="dashed", color="red", weight=0]; 421[label="xv302 == xv402",fontsize=16,color="magenta"];421 -> 550[label="",style="dashed", color="magenta", weight=3]; 421 -> 551[label="",style="dashed", color="magenta", weight=3]; 422 -> 40[label="",style="dashed", color="red", weight=0]; 422[label="xv302 == xv402",fontsize=16,color="magenta"];422 -> 552[label="",style="dashed", color="magenta", weight=3]; 422 -> 553[label="",style="dashed", color="magenta", weight=3]; 423 -> 41[label="",style="dashed", color="red", weight=0]; 423[label="xv302 == xv402",fontsize=16,color="magenta"];423 -> 554[label="",style="dashed", color="magenta", weight=3]; 423 -> 555[label="",style="dashed", color="magenta", weight=3]; 424 -> 42[label="",style="dashed", color="red", weight=0]; 424[label="xv302 == xv402",fontsize=16,color="magenta"];424 -> 556[label="",style="dashed", color="magenta", weight=3]; 424 -> 557[label="",style="dashed", color="magenta", weight=3]; 425 -> 43[label="",style="dashed", color="red", weight=0]; 425[label="xv302 == xv402",fontsize=16,color="magenta"];425 -> 558[label="",style="dashed", color="magenta", weight=3]; 425 -> 559[label="",style="dashed", color="magenta", weight=3]; 426 -> 44[label="",style="dashed", color="red", weight=0]; 426[label="xv302 == xv402",fontsize=16,color="magenta"];426 -> 560[label="",style="dashed", color="magenta", weight=3]; 426 -> 561[label="",style="dashed", color="magenta", weight=3]; 427 -> 45[label="",style="dashed", color="red", weight=0]; 427[label="xv302 == xv402",fontsize=16,color="magenta"];427 -> 562[label="",style="dashed", color="magenta", weight=3]; 427 -> 563[label="",style="dashed", color="magenta", weight=3]; 428 -> 46[label="",style="dashed", color="red", weight=0]; 428[label="xv302 == xv402",fontsize=16,color="magenta"];428 -> 564[label="",style="dashed", color="magenta", weight=3]; 428 -> 565[label="",style="dashed", color="magenta", weight=3]; 429 -> 47[label="",style="dashed", color="red", weight=0]; 429[label="xv302 == xv402",fontsize=16,color="magenta"];429 -> 566[label="",style="dashed", color="magenta", weight=3]; 429 -> 567[label="",style="dashed", color="magenta", weight=3]; 430 -> 48[label="",style="dashed", color="red", weight=0]; 430[label="xv302 == xv402",fontsize=16,color="magenta"];430 -> 568[label="",style="dashed", color="magenta", weight=3]; 430 -> 569[label="",style="dashed", color="magenta", weight=3]; 431 -> 49[label="",style="dashed", color="red", weight=0]; 431[label="xv302 == xv402",fontsize=16,color="magenta"];431 -> 570[label="",style="dashed", color="magenta", weight=3]; 431 -> 571[label="",style="dashed", color="magenta", weight=3]; 432 -> 19[label="",style="dashed", color="red", weight=0]; 432[label="xv302 == xv402",fontsize=16,color="magenta"];432 -> 572[label="",style="dashed", color="magenta", weight=3]; 432 -> 573[label="",style="dashed", color="magenta", weight=3]; 433 -> 51[label="",style="dashed", color="red", weight=0]; 433[label="xv302 == xv402",fontsize=16,color="magenta"];433 -> 574[label="",style="dashed", color="magenta", weight=3]; 433 -> 575[label="",style="dashed", color="magenta", weight=3]; 434[label="primEqNat (Succ xv3000) (Succ xv4000)",fontsize=16,color="black",shape="box"];434 -> 576[label="",style="solid", color="black", weight=3]; 435[label="primEqNat (Succ xv3000) Zero",fontsize=16,color="black",shape="box"];435 -> 577[label="",style="solid", color="black", weight=3]; 436[label="primEqNat Zero (Succ xv4000)",fontsize=16,color="black",shape="box"];436 -> 578[label="",style="solid", color="black", weight=3]; 437[label="primEqNat Zero Zero",fontsize=16,color="black",shape="box"];437 -> 579[label="",style="solid", color="black", weight=3]; 438[label="xv300",fontsize=16,color="green",shape="box"];439[label="xv400",fontsize=16,color="green",shape="box"];440[label="xv300",fontsize=16,color="green",shape="box"];441[label="xv400",fontsize=16,color="green",shape="box"];442[label="xv300",fontsize=16,color="green",shape="box"];443[label="xv400",fontsize=16,color="green",shape="box"];444[label="xv300",fontsize=16,color="green",shape="box"];445[label="xv400",fontsize=16,color="green",shape="box"];446[label="xv300",fontsize=16,color="green",shape="box"];447[label="xv400",fontsize=16,color="green",shape="box"];448[label="xv300",fontsize=16,color="green",shape="box"];449[label="xv400",fontsize=16,color="green",shape="box"];450[label="xv300",fontsize=16,color="green",shape="box"];451[label="xv400",fontsize=16,color="green",shape="box"];452[label="xv300",fontsize=16,color="green",shape="box"];453[label="xv400",fontsize=16,color="green",shape="box"];454[label="xv300",fontsize=16,color="green",shape="box"];455[label="xv400",fontsize=16,color="green",shape="box"];456[label="xv300",fontsize=16,color="green",shape="box"];457[label="xv400",fontsize=16,color="green",shape="box"];458[label="xv300",fontsize=16,color="green",shape="box"];459[label="xv400",fontsize=16,color="green",shape="box"];460[label="xv300",fontsize=16,color="green",shape="box"];461[label="xv400",fontsize=16,color="green",shape="box"];462[label="xv400",fontsize=16,color="green",shape="box"];463[label="xv300",fontsize=16,color="green",shape="box"];464[label="xv300",fontsize=16,color="green",shape="box"];465[label="xv400",fontsize=16,color="green",shape="box"];466[label="xv301",fontsize=16,color="green",shape="box"];467[label="xv401",fontsize=16,color="green",shape="box"];468[label="xv301",fontsize=16,color="green",shape="box"];469[label="xv401",fontsize=16,color="green",shape="box"];470[label="xv301",fontsize=16,color="green",shape="box"];471[label="xv401",fontsize=16,color="green",shape="box"];472[label="xv301",fontsize=16,color="green",shape="box"];473[label="xv401",fontsize=16,color="green",shape="box"];474[label="xv301",fontsize=16,color="green",shape="box"];475[label="xv401",fontsize=16,color="green",shape="box"];476[label="xv301",fontsize=16,color="green",shape="box"];477[label="xv401",fontsize=16,color="green",shape="box"];478[label="xv301",fontsize=16,color="green",shape="box"];479[label="xv401",fontsize=16,color="green",shape="box"];480[label="xv301",fontsize=16,color="green",shape="box"];481[label="xv401",fontsize=16,color="green",shape="box"];482[label="xv301",fontsize=16,color="green",shape="box"];483[label="xv401",fontsize=16,color="green",shape="box"];484[label="xv301",fontsize=16,color="green",shape="box"];485[label="xv401",fontsize=16,color="green",shape="box"];486[label="xv301",fontsize=16,color="green",shape="box"];487[label="xv401",fontsize=16,color="green",shape="box"];488[label="xv301",fontsize=16,color="green",shape="box"];489[label="xv401",fontsize=16,color="green",shape="box"];490[label="xv401",fontsize=16,color="green",shape="box"];491[label="xv301",fontsize=16,color="green",shape="box"];492[label="xv301",fontsize=16,color="green",shape="box"];493[label="xv401",fontsize=16,color="green",shape="box"];494[label="xv300",fontsize=16,color="green",shape="box"];495[label="xv401",fontsize=16,color="green",shape="box"];496[label="xv301",fontsize=16,color="green",shape="box"];497[label="xv400",fontsize=16,color="green",shape="box"];498[label="xv300",fontsize=16,color="green",shape="box"];499[label="xv400",fontsize=16,color="green",shape="box"];500[label="xv300",fontsize=16,color="green",shape="box"];501[label="xv400",fontsize=16,color="green",shape="box"];502[label="xv301",fontsize=16,color="green",shape="box"];503[label="xv401",fontsize=16,color="green",shape="box"];504[label="xv301",fontsize=16,color="green",shape="box"];505[label="xv401",fontsize=16,color="green",shape="box"];506 -> 148[label="",style="dashed", color="red", weight=0]; 506[label="primEqNat xv3000 xv4000",fontsize=16,color="magenta"];506 -> 580[label="",style="dashed", color="magenta", weight=3]; 506 -> 581[label="",style="dashed", color="magenta", weight=3]; 507[label="False",fontsize=16,color="green",shape="box"];508[label="False",fontsize=16,color="green",shape="box"];509[label="True",fontsize=16,color="green",shape="box"];510[label="False",fontsize=16,color="green",shape="box"];511[label="True",fontsize=16,color="green",shape="box"];512 -> 148[label="",style="dashed", color="red", weight=0]; 512[label="primEqNat xv3000 xv4000",fontsize=16,color="magenta"];512 -> 582[label="",style="dashed", color="magenta", weight=3]; 512 -> 583[label="",style="dashed", color="magenta", weight=3]; 513[label="False",fontsize=16,color="green",shape="box"];514[label="False",fontsize=16,color="green",shape="box"];515[label="True",fontsize=16,color="green",shape="box"];516[label="False",fontsize=16,color="green",shape="box"];517[label="True",fontsize=16,color="green",shape="box"];518[label="primMulInt (Pos xv3000) xv401",fontsize=16,color="burlywood",shape="box"];854[label="xv401/Pos xv4010",fontsize=10,color="white",style="solid",shape="box"];518 -> 854[label="",style="solid", color="burlywood", weight=9]; 854 -> 584[label="",style="solid", color="burlywood", weight=3]; 855[label="xv401/Neg xv4010",fontsize=10,color="white",style="solid",shape="box"];518 -> 855[label="",style="solid", color="burlywood", weight=9]; 855 -> 585[label="",style="solid", color="burlywood", weight=3]; 519[label="primMulInt (Neg xv3000) xv401",fontsize=16,color="burlywood",shape="box"];856[label="xv401/Pos xv4010",fontsize=10,color="white",style="solid",shape="box"];519 -> 856[label="",style="solid", color="burlywood", weight=9]; 856 -> 586[label="",style="solid", color="burlywood", weight=3]; 857[label="xv401/Neg xv4010",fontsize=10,color="white",style="solid",shape="box"];519 -> 857[label="",style="solid", color="burlywood", weight=9]; 857 -> 587[label="",style="solid", color="burlywood", weight=3]; 520[label="xv301",fontsize=16,color="green",shape="box"];521[label="xv401",fontsize=16,color="green",shape="box"];522[label="xv301",fontsize=16,color="green",shape="box"];523[label="xv401",fontsize=16,color="green",shape="box"];524[label="xv301",fontsize=16,color="green",shape="box"];525[label="xv401",fontsize=16,color="green",shape="box"];526[label="xv301",fontsize=16,color="green",shape="box"];527[label="xv401",fontsize=16,color="green",shape="box"];528[label="xv301",fontsize=16,color="green",shape="box"];529[label="xv401",fontsize=16,color="green",shape="box"];530[label="xv301",fontsize=16,color="green",shape="box"];531[label="xv401",fontsize=16,color="green",shape="box"];532[label="xv301",fontsize=16,color="green",shape="box"];533[label="xv401",fontsize=16,color="green",shape="box"];534[label="xv301",fontsize=16,color="green",shape="box"];535[label="xv401",fontsize=16,color="green",shape="box"];536[label="xv301",fontsize=16,color="green",shape="box"];537[label="xv401",fontsize=16,color="green",shape="box"];538[label="xv301",fontsize=16,color="green",shape="box"];539[label="xv401",fontsize=16,color="green",shape="box"];540[label="xv301",fontsize=16,color="green",shape="box"];541[label="xv401",fontsize=16,color="green",shape="box"];542[label="xv301",fontsize=16,color="green",shape="box"];543[label="xv401",fontsize=16,color="green",shape="box"];544[label="xv401",fontsize=16,color="green",shape="box"];545[label="xv301",fontsize=16,color="green",shape="box"];546[label="xv301",fontsize=16,color="green",shape="box"];547[label="xv401",fontsize=16,color="green",shape="box"];548[label="xv302",fontsize=16,color="green",shape="box"];549[label="xv402",fontsize=16,color="green",shape="box"];550[label="xv302",fontsize=16,color="green",shape="box"];551[label="xv402",fontsize=16,color="green",shape="box"];552[label="xv302",fontsize=16,color="green",shape="box"];553[label="xv402",fontsize=16,color="green",shape="box"];554[label="xv302",fontsize=16,color="green",shape="box"];555[label="xv402",fontsize=16,color="green",shape="box"];556[label="xv302",fontsize=16,color="green",shape="box"];557[label="xv402",fontsize=16,color="green",shape="box"];558[label="xv302",fontsize=16,color="green",shape="box"];559[label="xv402",fontsize=16,color="green",shape="box"];560[label="xv302",fontsize=16,color="green",shape="box"];561[label="xv402",fontsize=16,color="green",shape="box"];562[label="xv302",fontsize=16,color="green",shape="box"];563[label="xv402",fontsize=16,color="green",shape="box"];564[label="xv302",fontsize=16,color="green",shape="box"];565[label="xv402",fontsize=16,color="green",shape="box"];566[label="xv302",fontsize=16,color="green",shape="box"];567[label="xv402",fontsize=16,color="green",shape="box"];568[label="xv302",fontsize=16,color="green",shape="box"];569[label="xv402",fontsize=16,color="green",shape="box"];570[label="xv302",fontsize=16,color="green",shape="box"];571[label="xv402",fontsize=16,color="green",shape="box"];572[label="xv402",fontsize=16,color="green",shape="box"];573[label="xv302",fontsize=16,color="green",shape="box"];574[label="xv302",fontsize=16,color="green",shape="box"];575[label="xv402",fontsize=16,color="green",shape="box"];576 -> 148[label="",style="dashed", color="red", weight=0]; 576[label="primEqNat xv3000 xv4000",fontsize=16,color="magenta"];576 -> 588[label="",style="dashed", color="magenta", weight=3]; 576 -> 589[label="",style="dashed", color="magenta", weight=3]; 577[label="False",fontsize=16,color="green",shape="box"];578[label="False",fontsize=16,color="green",shape="box"];579[label="True",fontsize=16,color="green",shape="box"];580[label="xv4000",fontsize=16,color="green",shape="box"];581[label="xv3000",fontsize=16,color="green",shape="box"];582[label="xv4000",fontsize=16,color="green",shape="box"];583[label="xv3000",fontsize=16,color="green",shape="box"];584[label="primMulInt (Pos xv3000) (Pos xv4010)",fontsize=16,color="black",shape="box"];584 -> 590[label="",style="solid", color="black", weight=3]; 585[label="primMulInt (Pos xv3000) (Neg xv4010)",fontsize=16,color="black",shape="box"];585 -> 591[label="",style="solid", color="black", weight=3]; 586[label="primMulInt (Neg xv3000) (Pos xv4010)",fontsize=16,color="black",shape="box"];586 -> 592[label="",style="solid", color="black", weight=3]; 587[label="primMulInt (Neg xv3000) (Neg xv4010)",fontsize=16,color="black",shape="box"];587 -> 593[label="",style="solid", color="black", weight=3]; 588[label="xv4000",fontsize=16,color="green",shape="box"];589[label="xv3000",fontsize=16,color="green",shape="box"];590[label="Pos (primMulNat xv3000 xv4010)",fontsize=16,color="green",shape="box"];590 -> 594[label="",style="dashed", color="green", weight=3]; 591[label="Neg (primMulNat xv3000 xv4010)",fontsize=16,color="green",shape="box"];591 -> 595[label="",style="dashed", color="green", weight=3]; 592[label="Neg (primMulNat xv3000 xv4010)",fontsize=16,color="green",shape="box"];592 -> 596[label="",style="dashed", color="green", weight=3]; 593[label="Pos (primMulNat xv3000 xv4010)",fontsize=16,color="green",shape="box"];593 -> 597[label="",style="dashed", color="green", weight=3]; 594[label="primMulNat xv3000 xv4010",fontsize=16,color="burlywood",shape="triangle"];858[label="xv3000/Succ xv30000",fontsize=10,color="white",style="solid",shape="box"];594 -> 858[label="",style="solid", color="burlywood", weight=9]; 858 -> 598[label="",style="solid", color="burlywood", weight=3]; 859[label="xv3000/Zero",fontsize=10,color="white",style="solid",shape="box"];594 -> 859[label="",style="solid", color="burlywood", weight=9]; 859 -> 599[label="",style="solid", color="burlywood", weight=3]; 595 -> 594[label="",style="dashed", color="red", weight=0]; 595[label="primMulNat xv3000 xv4010",fontsize=16,color="magenta"];595 -> 600[label="",style="dashed", color="magenta", weight=3]; 596 -> 594[label="",style="dashed", color="red", weight=0]; 596[label="primMulNat xv3000 xv4010",fontsize=16,color="magenta"];596 -> 601[label="",style="dashed", color="magenta", weight=3]; 597 -> 594[label="",style="dashed", color="red", weight=0]; 597[label="primMulNat xv3000 xv4010",fontsize=16,color="magenta"];597 -> 602[label="",style="dashed", color="magenta", weight=3]; 597 -> 603[label="",style="dashed", color="magenta", weight=3]; 598[label="primMulNat (Succ xv30000) xv4010",fontsize=16,color="burlywood",shape="box"];860[label="xv4010/Succ xv40100",fontsize=10,color="white",style="solid",shape="box"];598 -> 860[label="",style="solid", color="burlywood", weight=9]; 860 -> 604[label="",style="solid", color="burlywood", weight=3]; 861[label="xv4010/Zero",fontsize=10,color="white",style="solid",shape="box"];598 -> 861[label="",style="solid", color="burlywood", weight=9]; 861 -> 605[label="",style="solid", color="burlywood", weight=3]; 599[label="primMulNat Zero xv4010",fontsize=16,color="burlywood",shape="box"];862[label="xv4010/Succ xv40100",fontsize=10,color="white",style="solid",shape="box"];599 -> 862[label="",style="solid", color="burlywood", weight=9]; 862 -> 606[label="",style="solid", color="burlywood", weight=3]; 863[label="xv4010/Zero",fontsize=10,color="white",style="solid",shape="box"];599 -> 863[label="",style="solid", color="burlywood", weight=9]; 863 -> 607[label="",style="solid", color="burlywood", weight=3]; 600[label="xv4010",fontsize=16,color="green",shape="box"];601[label="xv3000",fontsize=16,color="green",shape="box"];602[label="xv3000",fontsize=16,color="green",shape="box"];603[label="xv4010",fontsize=16,color="green",shape="box"];604[label="primMulNat (Succ xv30000) (Succ xv40100)",fontsize=16,color="black",shape="box"];604 -> 608[label="",style="solid", color="black", weight=3]; 605[label="primMulNat (Succ xv30000) Zero",fontsize=16,color="black",shape="box"];605 -> 609[label="",style="solid", color="black", weight=3]; 606[label="primMulNat Zero (Succ xv40100)",fontsize=16,color="black",shape="box"];606 -> 610[label="",style="solid", color="black", weight=3]; 607[label="primMulNat Zero Zero",fontsize=16,color="black",shape="box"];607 -> 611[label="",style="solid", color="black", weight=3]; 608 -> 612[label="",style="dashed", color="red", weight=0]; 608[label="primPlusNat (primMulNat xv30000 (Succ xv40100)) (Succ xv40100)",fontsize=16,color="magenta"];608 -> 613[label="",style="dashed", color="magenta", weight=3]; 609[label="Zero",fontsize=16,color="green",shape="box"];610[label="Zero",fontsize=16,color="green",shape="box"];611[label="Zero",fontsize=16,color="green",shape="box"];613 -> 594[label="",style="dashed", color="red", weight=0]; 613[label="primMulNat xv30000 (Succ xv40100)",fontsize=16,color="magenta"];613 -> 614[label="",style="dashed", color="magenta", weight=3]; 613 -> 615[label="",style="dashed", color="magenta", weight=3]; 612[label="primPlusNat xv14 (Succ xv40100)",fontsize=16,color="burlywood",shape="triangle"];864[label="xv14/Succ xv140",fontsize=10,color="white",style="solid",shape="box"];612 -> 864[label="",style="solid", color="burlywood", weight=9]; 864 -> 616[label="",style="solid", color="burlywood", weight=3]; 865[label="xv14/Zero",fontsize=10,color="white",style="solid",shape="box"];612 -> 865[label="",style="solid", color="burlywood", weight=9]; 865 -> 617[label="",style="solid", color="burlywood", weight=3]; 614[label="xv30000",fontsize=16,color="green",shape="box"];615[label="Succ xv40100",fontsize=16,color="green",shape="box"];616[label="primPlusNat (Succ xv140) (Succ xv40100)",fontsize=16,color="black",shape="box"];616 -> 618[label="",style="solid", color="black", weight=3]; 617[label="primPlusNat Zero (Succ xv40100)",fontsize=16,color="black",shape="box"];617 -> 619[label="",style="solid", color="black", weight=3]; 618[label="Succ (Succ (primPlusNat xv140 xv40100))",fontsize=16,color="green",shape="box"];618 -> 620[label="",style="dashed", color="green", weight=3]; 619[label="Succ xv40100",fontsize=16,color="green",shape="box"];620[label="primPlusNat xv140 xv40100",fontsize=16,color="burlywood",shape="triangle"];866[label="xv140/Succ xv1400",fontsize=10,color="white",style="solid",shape="box"];620 -> 866[label="",style="solid", color="burlywood", weight=9]; 866 -> 621[label="",style="solid", color="burlywood", weight=3]; 867[label="xv140/Zero",fontsize=10,color="white",style="solid",shape="box"];620 -> 867[label="",style="solid", color="burlywood", weight=9]; 867 -> 622[label="",style="solid", color="burlywood", weight=3]; 621[label="primPlusNat (Succ xv1400) xv40100",fontsize=16,color="burlywood",shape="box"];868[label="xv40100/Succ xv401000",fontsize=10,color="white",style="solid",shape="box"];621 -> 868[label="",style="solid", color="burlywood", weight=9]; 868 -> 623[label="",style="solid", color="burlywood", weight=3]; 869[label="xv40100/Zero",fontsize=10,color="white",style="solid",shape="box"];621 -> 869[label="",style="solid", color="burlywood", weight=9]; 869 -> 624[label="",style="solid", color="burlywood", weight=3]; 622[label="primPlusNat Zero xv40100",fontsize=16,color="burlywood",shape="box"];870[label="xv40100/Succ xv401000",fontsize=10,color="white",style="solid",shape="box"];622 -> 870[label="",style="solid", color="burlywood", weight=9]; 870 -> 625[label="",style="solid", color="burlywood", weight=3]; 871[label="xv40100/Zero",fontsize=10,color="white",style="solid",shape="box"];622 -> 871[label="",style="solid", color="burlywood", weight=9]; 871 -> 626[label="",style="solid", color="burlywood", weight=3]; 623[label="primPlusNat (Succ xv1400) (Succ xv401000)",fontsize=16,color="black",shape="box"];623 -> 627[label="",style="solid", color="black", weight=3]; 624[label="primPlusNat (Succ xv1400) Zero",fontsize=16,color="black",shape="box"];624 -> 628[label="",style="solid", color="black", weight=3]; 625[label="primPlusNat Zero (Succ xv401000)",fontsize=16,color="black",shape="box"];625 -> 629[label="",style="solid", color="black", weight=3]; 626[label="primPlusNat Zero Zero",fontsize=16,color="black",shape="box"];626 -> 630[label="",style="solid", color="black", weight=3]; 627[label="Succ (Succ (primPlusNat xv1400 xv401000))",fontsize=16,color="green",shape="box"];627 -> 631[label="",style="dashed", color="green", weight=3]; 628[label="Succ xv1400",fontsize=16,color="green",shape="box"];629[label="Succ xv401000",fontsize=16,color="green",shape="box"];630[label="Zero",fontsize=16,color="green",shape="box"];631 -> 620[label="",style="dashed", color="red", weight=0]; 631[label="primPlusNat xv1400 xv401000",fontsize=16,color="magenta"];631 -> 632[label="",style="dashed", color="magenta", weight=3]; 631 -> 633[label="",style="dashed", color="magenta", weight=3]; 632[label="xv1400",fontsize=16,color="green",shape="box"];633[label="xv401000",fontsize=16,color="green",shape="box"];} ---------------------------------------- (6) Complex Obligation (AND) ---------------------------------------- (7) Obligation: Q DP problem: The TRS P consists of the following rules: new_esEs1(Left(xv300), Left(xv400), app(app(ty_Either, gg), gh), gc) -> new_esEs1(xv300, xv400, gg, gh) new_esEs(:(xv300, xv301), :(xv400, xv401), app(app(ty_@2, bf), bg)) -> new_esEs2(xv300, xv400, bf, bg) new_esEs1(Right(xv300), Right(xv400), hd, app(ty_Maybe, bae)) -> new_esEs3(xv300, xv400, bae) new_esEs3(Just(@2(xv300, xv301)), Just(@2(xv400, xv401)), app(app(ty_@2, bbh), app(app(ty_Either, bce), bcf))) -> new_esEs1(xv301, xv401, bce, bcf) new_esEs0(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), df, app(ty_Maybe, eg), cd) -> new_esEs3(xv301, xv401, eg) new_esEs2(@2(xv300, xv301), @2(xv400, xv401), bbh, app(ty_Maybe, bda)) -> new_esEs3(xv301, xv401, bda) new_esEs3(Just(@3(xv300, xv301, xv302)), Just(@3(xv400, xv401, xv402)), app(app(app(ty_@3, df), app(app(ty_@2, ee), ef)), cd)) -> new_esEs2(xv301, xv401, ee, ef) new_esEs3(Just(Right(xv300)), Just(Right(xv400)), app(app(ty_Either, hd), app(app(app(ty_@3, hf), hg), hh))) -> new_esEs0(xv300, xv400, hf, hg, hh) new_esEs2(@2(xv300, xv301), @2(xv400, xv401), bbh, app(app(ty_@2, bcg), bch)) -> new_esEs2(xv301, xv401, bcg, bch) new_esEs3(Just(@3(xv300, xv301, xv302)), Just(@3(xv400, xv401, xv402)), app(app(app(ty_@3, app(app(ty_Either, da), db)), cc), cd)) -> new_esEs1(xv300, xv400, da, db) new_esEs0(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), df, cc, app(ty_Maybe, ga)) -> new_esEs3(xv302, xv402, ga) new_esEs2(@2(xv300, xv301), @2(xv400, xv401), app(ty_Maybe, bbg), bag) -> new_esEs3(xv300, xv400, bbg) new_esEs3(Just(Left(xv300)), Just(Left(xv400)), app(app(ty_Either, app(app(app(ty_@3, gd), ge), gf)), gc)) -> new_esEs0(xv300, xv400, gd, ge, gf) new_esEs3(Just(@3(xv300, xv301, xv302)), Just(@3(xv400, xv401, xv402)), app(app(app(ty_@3, df), cc), app(ty_[], eh))) -> new_esEs(xv302, xv402, eh) new_esEs3(Just(@2(xv300, xv301)), Just(@2(xv400, xv401)), app(app(ty_@2, bbh), app(app(ty_@2, bcg), bch))) -> new_esEs2(xv301, xv401, bcg, bch) new_esEs0(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), df, cc, app(app(ty_@2, fg), fh)) -> new_esEs2(xv302, xv402, fg, fh) new_esEs(:(xv300, xv301), :(xv400, xv401), app(ty_[], h)) -> new_esEs(xv300, xv400, h) new_esEs0(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), app(ty_Maybe, de), cc, cd) -> new_esEs3(xv300, xv400, de) new_esEs3(Just(@3(xv300, xv301, xv302)), Just(@3(xv400, xv401, xv402)), app(app(app(ty_@3, df), cc), app(app(app(ty_@3, fa), fb), fc))) -> new_esEs0(xv302, xv402, fa, fb, fc) new_esEs3(Just(@2(xv300, xv301)), Just(@2(xv400, xv401)), app(app(ty_@2, app(app(ty_Either, bbc), bbd)), bag)) -> new_esEs1(xv300, xv400, bbc, bbd) new_esEs3(Just(@3(xv300, xv301, xv302)), Just(@3(xv400, xv401, xv402)), app(app(app(ty_@3, df), app(ty_Maybe, eg)), cd)) -> new_esEs3(xv301, xv401, eg) new_esEs1(Left(xv300), Left(xv400), app(ty_Maybe, hc), gc) -> new_esEs3(xv300, xv400, hc) new_esEs3(Just(@3(xv300, xv301, xv302)), Just(@3(xv400, xv401, xv402)), app(app(app(ty_@3, df), app(ty_[], dg)), cd)) -> new_esEs(xv301, xv401, dg) new_esEs1(Left(xv300), Left(xv400), app(app(app(ty_@3, gd), ge), gf), gc) -> new_esEs0(xv300, xv400, gd, ge, gf) new_esEs(:(xv300, xv301), :(xv400, xv401), app(app(ty_Either, bd), be)) -> new_esEs1(xv300, xv400, bd, be) new_esEs0(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), app(ty_[], cb), cc, cd) -> new_esEs(xv300, xv400, cb) new_esEs3(Just(Left(xv300)), Just(Left(xv400)), app(app(ty_Either, app(ty_[], gb)), gc)) -> new_esEs(xv300, xv400, gb) new_esEs0(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), df, cc, app(ty_[], eh)) -> new_esEs(xv302, xv402, eh) new_esEs3(Just(:(xv300, xv301)), Just(:(xv400, xv401)), app(ty_[], app(ty_Maybe, bh))) -> new_esEs3(xv300, xv400, bh) new_esEs1(Left(xv300), Left(xv400), app(app(ty_@2, ha), hb), gc) -> new_esEs2(xv300, xv400, ha, hb) new_esEs1(Right(xv300), Right(xv400), hd, app(app(app(ty_@3, hf), hg), hh)) -> new_esEs0(xv300, xv400, hf, hg, hh) new_esEs3(Just(@2(xv300, xv301)), Just(@2(xv400, xv401)), app(app(ty_@2, bbh), app(ty_Maybe, bda))) -> new_esEs3(xv301, xv401, bda) new_esEs3(Just(@3(xv300, xv301, xv302)), Just(@3(xv400, xv401, xv402)), app(app(app(ty_@3, df), app(app(ty_Either, ec), ed)), cd)) -> new_esEs1(xv301, xv401, ec, ed) new_esEs2(@2(xv300, xv301), @2(xv400, xv401), app(app(ty_Either, bbc), bbd), bag) -> new_esEs1(xv300, xv400, bbc, bbd) new_esEs3(Just(@3(xv300, xv301, xv302)), Just(@3(xv400, xv401, xv402)), app(app(app(ty_@3, app(app(ty_@2, dc), dd)), cc), cd)) -> new_esEs2(xv300, xv400, dc, dd) new_esEs3(Just(Right(xv300)), Just(Right(xv400)), app(app(ty_Either, hd), app(app(ty_@2, bac), bad))) -> new_esEs2(xv300, xv400, bac, bad) new_esEs3(Just(@2(xv300, xv301)), Just(@2(xv400, xv401)), app(app(ty_@2, bbh), app(ty_[], bca))) -> new_esEs(xv301, xv401, bca) new_esEs3(Just(:(xv300, xv301)), Just(:(xv400, xv401)), app(ty_[], ca)) -> new_esEs(xv301, xv401, ca) new_esEs3(Just(@3(xv300, xv301, xv302)), Just(@3(xv400, xv401, xv402)), app(app(app(ty_@3, df), cc), app(app(ty_Either, fd), ff))) -> new_esEs1(xv302, xv402, fd, ff) new_esEs3(Just(:(xv300, xv301)), Just(:(xv400, xv401)), app(ty_[], app(ty_[], h))) -> new_esEs(xv300, xv400, h) new_esEs3(Just(:(xv300, xv301)), Just(:(xv400, xv401)), app(ty_[], app(app(ty_Either, bd), be))) -> new_esEs1(xv300, xv400, bd, be) new_esEs0(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), df, cc, app(app(ty_Either, fd), ff)) -> new_esEs1(xv302, xv402, fd, ff) new_esEs3(Just(Right(xv300)), Just(Right(xv400)), app(app(ty_Either, hd), app(ty_[], he))) -> new_esEs(xv300, xv400, he) new_esEs3(Just(@2(xv300, xv301)), Just(@2(xv400, xv401)), app(app(ty_@2, app(ty_[], baf)), bag)) -> new_esEs(xv300, xv400, baf) new_esEs0(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), df, app(app(app(ty_@3, dh), ea), eb), cd) -> new_esEs0(xv301, xv401, dh, ea, eb) new_esEs3(Just(@2(xv300, xv301)), Just(@2(xv400, xv401)), app(app(ty_@2, app(app(ty_@2, bbe), bbf)), bag)) -> new_esEs2(xv300, xv400, bbe, bbf) new_esEs2(@2(xv300, xv301), @2(xv400, xv401), bbh, app(ty_[], bca)) -> new_esEs(xv301, xv401, bca) new_esEs3(Just(@2(xv300, xv301)), Just(@2(xv400, xv401)), app(app(ty_@2, app(app(app(ty_@3, bah), bba), bbb)), bag)) -> new_esEs0(xv300, xv400, bah, bba, bbb) new_esEs3(Just(@2(xv300, xv301)), Just(@2(xv400, xv401)), app(app(ty_@2, app(ty_Maybe, bbg)), bag)) -> new_esEs3(xv300, xv400, bbg) new_esEs(:(xv300, xv301), :(xv400, xv401), ca) -> new_esEs(xv301, xv401, ca) new_esEs3(Just(@3(xv300, xv301, xv302)), Just(@3(xv400, xv401, xv402)), app(app(app(ty_@3, app(ty_[], cb)), cc), cd)) -> new_esEs(xv300, xv400, cb) new_esEs3(Just(xv30), Just(xv40), app(ty_Maybe, bdb)) -> new_esEs3(xv30, xv40, bdb) new_esEs0(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), app(app(ty_Either, da), db), cc, cd) -> new_esEs1(xv300, xv400, da, db) new_esEs3(Just(Right(xv300)), Just(Right(xv400)), app(app(ty_Either, hd), app(ty_Maybe, bae))) -> new_esEs3(xv300, xv400, bae) new_esEs0(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), df, app(app(ty_@2, ee), ef), cd) -> new_esEs2(xv301, xv401, ee, ef) new_esEs2(@2(xv300, xv301), @2(xv400, xv401), app(app(ty_@2, bbe), bbf), bag) -> new_esEs2(xv300, xv400, bbe, bbf) new_esEs1(Right(xv300), Right(xv400), hd, app(app(ty_@2, bac), bad)) -> new_esEs2(xv300, xv400, bac, bad) new_esEs(:(xv300, xv301), :(xv400, xv401), app(app(app(ty_@3, ba), bb), bc)) -> new_esEs0(xv300, xv400, ba, bb, bc) new_esEs0(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), df, cc, app(app(app(ty_@3, fa), fb), fc)) -> new_esEs0(xv302, xv402, fa, fb, fc) new_esEs1(Left(xv300), Left(xv400), app(ty_[], gb), gc) -> new_esEs(xv300, xv400, gb) new_esEs3(Just(:(xv300, xv301)), Just(:(xv400, xv401)), app(ty_[], app(app(app(ty_@3, ba), bb), bc))) -> new_esEs0(xv300, xv400, ba, bb, bc) new_esEs3(Just(@3(xv300, xv301, xv302)), Just(@3(xv400, xv401, xv402)), app(app(app(ty_@3, app(app(app(ty_@3, ce), cf), cg)), cc), cd)) -> new_esEs0(xv300, xv400, ce, cf, cg) new_esEs3(Just(Left(xv300)), Just(Left(xv400)), app(app(ty_Either, app(app(ty_Either, gg), gh)), gc)) -> new_esEs1(xv300, xv400, gg, gh) new_esEs0(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), df, app(ty_[], dg), cd) -> new_esEs(xv301, xv401, dg) new_esEs3(Just(:(xv300, xv301)), Just(:(xv400, xv401)), app(ty_[], app(app(ty_@2, bf), bg))) -> new_esEs2(xv300, xv400, bf, bg) new_esEs(:(xv300, xv301), :(xv400, xv401), app(ty_Maybe, bh)) -> new_esEs3(xv300, xv400, bh) new_esEs3(Just(@3(xv300, xv301, xv302)), Just(@3(xv400, xv401, xv402)), app(app(app(ty_@3, df), app(app(app(ty_@3, dh), ea), eb)), cd)) -> new_esEs0(xv301, xv401, dh, ea, eb) new_esEs3(Just(Right(xv300)), Just(Right(xv400)), app(app(ty_Either, hd), app(app(ty_Either, baa), bab))) -> new_esEs1(xv300, xv400, baa, bab) new_esEs3(Just(@2(xv300, xv301)), Just(@2(xv400, xv401)), app(app(ty_@2, bbh), app(app(app(ty_@3, bcb), bcc), bcd))) -> new_esEs0(xv301, xv401, bcb, bcc, bcd) new_esEs0(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), df, app(app(ty_Either, ec), ed), cd) -> new_esEs1(xv301, xv401, ec, ed) new_esEs3(Just(@3(xv300, xv301, xv302)), Just(@3(xv400, xv401, xv402)), app(app(app(ty_@3, app(ty_Maybe, de)), cc), cd)) -> new_esEs3(xv300, xv400, de) new_esEs2(@2(xv300, xv301), @2(xv400, xv401), app(ty_[], baf), bag) -> new_esEs(xv300, xv400, baf) new_esEs0(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), app(app(ty_@2, dc), dd), cc, cd) -> new_esEs2(xv300, xv400, dc, dd) new_esEs2(@2(xv300, xv301), @2(xv400, xv401), app(app(app(ty_@3, bah), bba), bbb), bag) -> new_esEs0(xv300, xv400, bah, bba, bbb) new_esEs3(Just(Left(xv300)), Just(Left(xv400)), app(app(ty_Either, app(app(ty_@2, ha), hb)), gc)) -> new_esEs2(xv300, xv400, ha, hb) new_esEs3(Just(@3(xv300, xv301, xv302)), Just(@3(xv400, xv401, xv402)), app(app(app(ty_@3, df), cc), app(app(ty_@2, fg), fh))) -> new_esEs2(xv302, xv402, fg, fh) new_esEs1(Right(xv300), Right(xv400), hd, app(ty_[], he)) -> new_esEs(xv300, xv400, he) new_esEs3(Just(Left(xv300)), Just(Left(xv400)), app(app(ty_Either, app(ty_Maybe, hc)), gc)) -> new_esEs3(xv300, xv400, hc) new_esEs1(Right(xv300), Right(xv400), hd, app(app(ty_Either, baa), bab)) -> new_esEs1(xv300, xv400, baa, bab) new_esEs2(@2(xv300, xv301), @2(xv400, xv401), bbh, app(app(ty_Either, bce), bcf)) -> new_esEs1(xv301, xv401, bce, bcf) new_esEs0(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), app(app(app(ty_@3, ce), cf), cg), cc, cd) -> new_esEs0(xv300, xv400, ce, cf, cg) new_esEs3(Just(@3(xv300, xv301, xv302)), Just(@3(xv400, xv401, xv402)), app(app(app(ty_@3, df), cc), app(ty_Maybe, ga))) -> new_esEs3(xv302, xv402, ga) new_esEs2(@2(xv300, xv301), @2(xv400, xv401), bbh, app(app(app(ty_@3, bcb), bcc), bcd)) -> new_esEs0(xv301, xv401, bcb, bcc, bcd) 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_esEs(:(xv300, xv301), :(xv400, xv401), app(app(ty_Either, bd), be)) -> new_esEs1(xv300, xv400, bd, be) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs(:(xv300, xv301), :(xv400, xv401), app(ty_Maybe, bh)) -> new_esEs3(xv300, xv400, bh) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs(:(xv300, xv301), :(xv400, xv401), app(app(app(ty_@3, ba), bb), bc)) -> new_esEs0(xv300, xv400, ba, bb, bc) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 *new_esEs(:(xv300, xv301), :(xv400, xv401), app(app(ty_@2, bf), bg)) -> new_esEs2(xv300, xv400, bf, bg) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs1(Left(xv300), Left(xv400), app(app(ty_Either, gg), gh), gc) -> new_esEs1(xv300, xv400, gg, gh) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs1(Right(xv300), Right(xv400), hd, app(app(ty_Either, baa), bab)) -> new_esEs1(xv300, xv400, baa, bab) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 *new_esEs1(Left(xv300), Left(xv400), app(ty_[], gb), gc) -> new_esEs(xv300, xv400, gb) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs1(Right(xv300), Right(xv400), hd, app(ty_[], he)) -> new_esEs(xv300, xv400, he) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 *new_esEs1(Right(xv300), Right(xv400), hd, app(ty_Maybe, bae)) -> new_esEs3(xv300, xv400, bae) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 *new_esEs1(Left(xv300), Left(xv400), app(ty_Maybe, hc), gc) -> new_esEs3(xv300, xv400, hc) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs1(Left(xv300), Left(xv400), app(app(app(ty_@3, gd), ge), gf), gc) -> new_esEs0(xv300, xv400, gd, ge, gf) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 *new_esEs1(Right(xv300), Right(xv400), hd, app(app(app(ty_@3, hf), hg), hh)) -> new_esEs0(xv300, xv400, hf, hg, hh) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4, 4 > 5 *new_esEs1(Left(xv300), Left(xv400), app(app(ty_@2, ha), hb), gc) -> new_esEs2(xv300, xv400, ha, hb) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs1(Right(xv300), Right(xv400), hd, app(app(ty_@2, bac), bad)) -> new_esEs2(xv300, xv400, bac, bad) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 *new_esEs2(@2(xv300, xv301), @2(xv400, xv401), app(app(ty_Either, bbc), bbd), bag) -> new_esEs1(xv300, xv400, bbc, bbd) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs2(@2(xv300, xv301), @2(xv400, xv401), bbh, app(app(ty_Either, bce), bcf)) -> new_esEs1(xv301, xv401, bce, bcf) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 *new_esEs3(Just(@2(xv300, xv301)), Just(@2(xv400, xv401)), app(app(ty_@2, bbh), app(app(ty_Either, bce), bcf))) -> new_esEs1(xv301, xv401, bce, bcf) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs3(Just(@3(xv300, xv301, xv302)), Just(@3(xv400, xv401, xv402)), app(app(app(ty_@3, app(app(ty_Either, da), db)), cc), cd)) -> new_esEs1(xv300, xv400, da, db) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs3(Just(@2(xv300, xv301)), Just(@2(xv400, xv401)), app(app(ty_@2, app(app(ty_Either, bbc), bbd)), bag)) -> new_esEs1(xv300, xv400, bbc, bbd) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs3(Just(@3(xv300, xv301, xv302)), Just(@3(xv400, xv401, xv402)), app(app(app(ty_@3, df), app(app(ty_Either, ec), ed)), cd)) -> new_esEs1(xv301, xv401, ec, ed) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs3(Just(@3(xv300, xv301, xv302)), Just(@3(xv400, xv401, xv402)), app(app(app(ty_@3, df), cc), app(app(ty_Either, fd), ff))) -> new_esEs1(xv302, xv402, fd, ff) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs3(Just(:(xv300, xv301)), Just(:(xv400, xv401)), app(ty_[], app(app(ty_Either, bd), be))) -> new_esEs1(xv300, xv400, bd, be) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs3(Just(Left(xv300)), Just(Left(xv400)), app(app(ty_Either, app(app(ty_Either, gg), gh)), gc)) -> new_esEs1(xv300, xv400, gg, gh) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs3(Just(Right(xv300)), Just(Right(xv400)), app(app(ty_Either, hd), app(app(ty_Either, baa), bab))) -> new_esEs1(xv300, xv400, baa, bab) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs0(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), df, cc, app(app(ty_Either, fd), ff)) -> new_esEs1(xv302, xv402, fd, ff) The graph contains the following edges 1 > 1, 2 > 2, 5 > 3, 5 > 4 *new_esEs0(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), app(app(ty_Either, da), db), cc, cd) -> new_esEs1(xv300, xv400, da, db) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs0(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), df, app(app(ty_Either, ec), ed), cd) -> new_esEs1(xv301, xv401, ec, ed) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 *new_esEs2(@2(xv300, xv301), @2(xv400, xv401), bbh, app(ty_[], bca)) -> new_esEs(xv301, xv401, bca) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 *new_esEs2(@2(xv300, xv301), @2(xv400, xv401), app(ty_[], baf), bag) -> new_esEs(xv300, xv400, baf) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs2(@2(xv300, xv301), @2(xv400, xv401), bbh, app(ty_Maybe, bda)) -> new_esEs3(xv301, xv401, bda) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 *new_esEs2(@2(xv300, xv301), @2(xv400, xv401), app(ty_Maybe, bbg), bag) -> new_esEs3(xv300, xv400, bbg) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs2(@2(xv300, xv301), @2(xv400, xv401), app(app(app(ty_@3, bah), bba), bbb), bag) -> new_esEs0(xv300, xv400, bah, bba, bbb) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 *new_esEs2(@2(xv300, xv301), @2(xv400, xv401), bbh, app(app(app(ty_@3, bcb), bcc), bcd)) -> new_esEs0(xv301, xv401, bcb, bcc, bcd) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4, 4 > 5 *new_esEs2(@2(xv300, xv301), @2(xv400, xv401), bbh, app(app(ty_@2, bcg), bch)) -> new_esEs2(xv301, xv401, bcg, bch) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 *new_esEs2(@2(xv300, xv301), @2(xv400, xv401), app(app(ty_@2, bbe), bbf), bag) -> new_esEs2(xv300, xv400, bbe, bbf) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs3(Just(@3(xv300, xv301, xv302)), Just(@3(xv400, xv401, xv402)), app(app(app(ty_@3, df), cc), app(ty_[], eh))) -> new_esEs(xv302, xv402, eh) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs3(Just(@3(xv300, xv301, xv302)), Just(@3(xv400, xv401, xv402)), app(app(app(ty_@3, df), app(ty_[], dg)), cd)) -> new_esEs(xv301, xv401, dg) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs3(Just(Left(xv300)), Just(Left(xv400)), app(app(ty_Either, app(ty_[], gb)), gc)) -> new_esEs(xv300, xv400, gb) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs3(Just(@2(xv300, xv301)), Just(@2(xv400, xv401)), app(app(ty_@2, bbh), app(ty_[], bca))) -> new_esEs(xv301, xv401, bca) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs3(Just(:(xv300, xv301)), Just(:(xv400, xv401)), app(ty_[], ca)) -> new_esEs(xv301, xv401, ca) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs3(Just(:(xv300, xv301)), Just(:(xv400, xv401)), app(ty_[], app(ty_[], h))) -> new_esEs(xv300, xv400, h) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs3(Just(Right(xv300)), Just(Right(xv400)), app(app(ty_Either, hd), app(ty_[], he))) -> new_esEs(xv300, xv400, he) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs3(Just(@2(xv300, xv301)), Just(@2(xv400, xv401)), app(app(ty_@2, app(ty_[], baf)), bag)) -> new_esEs(xv300, xv400, baf) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs3(Just(@3(xv300, xv301, xv302)), Just(@3(xv400, xv401, xv402)), app(app(app(ty_@3, app(ty_[], cb)), cc), cd)) -> new_esEs(xv300, xv400, cb) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs0(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), app(ty_[], cb), cc, cd) -> new_esEs(xv300, xv400, cb) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs0(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), df, cc, app(ty_[], eh)) -> new_esEs(xv302, xv402, eh) The graph contains the following edges 1 > 1, 2 > 2, 5 > 3 *new_esEs0(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), df, app(ty_[], dg), cd) -> new_esEs(xv301, xv401, dg) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 *new_esEs(:(xv300, xv301), :(xv400, xv401), app(ty_[], h)) -> new_esEs(xv300, xv400, h) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs(:(xv300, xv301), :(xv400, xv401), ca) -> new_esEs(xv301, xv401, ca) The graph contains the following edges 1 > 1, 2 > 2, 3 >= 3 *new_esEs3(Just(@3(xv300, xv301, xv302)), Just(@3(xv400, xv401, xv402)), app(app(app(ty_@3, df), app(ty_Maybe, eg)), cd)) -> new_esEs3(xv301, xv401, eg) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs3(Just(:(xv300, xv301)), Just(:(xv400, xv401)), app(ty_[], app(ty_Maybe, bh))) -> new_esEs3(xv300, xv400, bh) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs3(Just(@2(xv300, xv301)), Just(@2(xv400, xv401)), app(app(ty_@2, bbh), app(ty_Maybe, bda))) -> new_esEs3(xv301, xv401, bda) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs3(Just(@2(xv300, xv301)), Just(@2(xv400, xv401)), app(app(ty_@2, app(ty_Maybe, bbg)), bag)) -> new_esEs3(xv300, xv400, bbg) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs3(Just(xv30), Just(xv40), app(ty_Maybe, bdb)) -> new_esEs3(xv30, xv40, bdb) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs3(Just(Right(xv300)), Just(Right(xv400)), app(app(ty_Either, hd), app(ty_Maybe, bae))) -> new_esEs3(xv300, xv400, bae) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs3(Just(@3(xv300, xv301, xv302)), Just(@3(xv400, xv401, xv402)), app(app(app(ty_@3, app(ty_Maybe, de)), cc), cd)) -> new_esEs3(xv300, xv400, de) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs3(Just(Left(xv300)), Just(Left(xv400)), app(app(ty_Either, app(ty_Maybe, hc)), gc)) -> new_esEs3(xv300, xv400, hc) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs3(Just(@3(xv300, xv301, xv302)), Just(@3(xv400, xv401, xv402)), app(app(app(ty_@3, df), cc), app(ty_Maybe, ga))) -> new_esEs3(xv302, xv402, ga) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs3(Just(Right(xv300)), Just(Right(xv400)), app(app(ty_Either, hd), app(app(app(ty_@3, hf), hg), hh))) -> new_esEs0(xv300, xv400, hf, hg, hh) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 *new_esEs3(Just(Left(xv300)), Just(Left(xv400)), app(app(ty_Either, app(app(app(ty_@3, gd), ge), gf)), gc)) -> new_esEs0(xv300, xv400, gd, ge, gf) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 *new_esEs3(Just(@3(xv300, xv301, xv302)), Just(@3(xv400, xv401, xv402)), app(app(app(ty_@3, df), cc), app(app(app(ty_@3, fa), fb), fc))) -> new_esEs0(xv302, xv402, fa, fb, fc) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 *new_esEs3(Just(@2(xv300, xv301)), Just(@2(xv400, xv401)), app(app(ty_@2, app(app(app(ty_@3, bah), bba), bbb)), bag)) -> new_esEs0(xv300, xv400, bah, bba, bbb) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 *new_esEs3(Just(:(xv300, xv301)), Just(:(xv400, xv401)), app(ty_[], app(app(app(ty_@3, ba), bb), bc))) -> new_esEs0(xv300, xv400, ba, bb, bc) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 *new_esEs3(Just(@3(xv300, xv301, xv302)), Just(@3(xv400, xv401, xv402)), app(app(app(ty_@3, app(app(app(ty_@3, ce), cf), cg)), cc), cd)) -> new_esEs0(xv300, xv400, ce, cf, cg) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 *new_esEs3(Just(@3(xv300, xv301, xv302)), Just(@3(xv400, xv401, xv402)), app(app(app(ty_@3, df), app(app(app(ty_@3, dh), ea), eb)), cd)) -> new_esEs0(xv301, xv401, dh, ea, eb) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 *new_esEs3(Just(@2(xv300, xv301)), Just(@2(xv400, xv401)), app(app(ty_@2, bbh), app(app(app(ty_@3, bcb), bcc), bcd))) -> new_esEs0(xv301, xv401, bcb, bcc, bcd) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 *new_esEs3(Just(@3(xv300, xv301, xv302)), Just(@3(xv400, xv401, xv402)), app(app(app(ty_@3, df), app(app(ty_@2, ee), ef)), cd)) -> new_esEs2(xv301, xv401, ee, ef) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs3(Just(@2(xv300, xv301)), Just(@2(xv400, xv401)), app(app(ty_@2, bbh), app(app(ty_@2, bcg), bch))) -> new_esEs2(xv301, xv401, bcg, bch) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs3(Just(@3(xv300, xv301, xv302)), Just(@3(xv400, xv401, xv402)), app(app(app(ty_@3, app(app(ty_@2, dc), dd)), cc), cd)) -> new_esEs2(xv300, xv400, dc, dd) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs3(Just(Right(xv300)), Just(Right(xv400)), app(app(ty_Either, hd), app(app(ty_@2, bac), bad))) -> new_esEs2(xv300, xv400, bac, bad) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs3(Just(@2(xv300, xv301)), Just(@2(xv400, xv401)), app(app(ty_@2, app(app(ty_@2, bbe), bbf)), bag)) -> new_esEs2(xv300, xv400, bbe, bbf) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs3(Just(:(xv300, xv301)), Just(:(xv400, xv401)), app(ty_[], app(app(ty_@2, bf), bg))) -> new_esEs2(xv300, xv400, bf, bg) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs3(Just(Left(xv300)), Just(Left(xv400)), app(app(ty_Either, app(app(ty_@2, ha), hb)), gc)) -> new_esEs2(xv300, xv400, ha, hb) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs3(Just(@3(xv300, xv301, xv302)), Just(@3(xv400, xv401, xv402)), app(app(app(ty_@3, df), cc), app(app(ty_@2, fg), fh))) -> new_esEs2(xv302, xv402, fg, fh) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs0(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), df, app(ty_Maybe, eg), cd) -> new_esEs3(xv301, xv401, eg) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 *new_esEs0(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), df, cc, app(ty_Maybe, ga)) -> new_esEs3(xv302, xv402, ga) The graph contains the following edges 1 > 1, 2 > 2, 5 > 3 *new_esEs0(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), app(ty_Maybe, de), cc, cd) -> new_esEs3(xv300, xv400, de) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs0(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), df, app(app(app(ty_@3, dh), ea), eb), cd) -> new_esEs0(xv301, xv401, dh, ea, eb) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4, 4 > 5 *new_esEs0(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), df, cc, app(app(app(ty_@3, fa), fb), fc)) -> new_esEs0(xv302, xv402, fa, fb, fc) The graph contains the following edges 1 > 1, 2 > 2, 5 > 3, 5 > 4, 5 > 5 *new_esEs0(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), app(app(app(ty_@3, ce), cf), cg), cc, cd) -> new_esEs0(xv300, xv400, ce, cf, cg) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 *new_esEs0(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), df, cc, app(app(ty_@2, fg), fh)) -> new_esEs2(xv302, xv402, fg, fh) The graph contains the following edges 1 > 1, 2 > 2, 5 > 3, 5 > 4 *new_esEs0(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), df, app(app(ty_@2, ee), ef), cd) -> new_esEs2(xv301, xv401, ee, ef) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 *new_esEs0(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), app(app(ty_@2, dc), dd), cc, cd) -> new_esEs2(xv300, xv400, dc, dd) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 ---------------------------------------- (9) YES ---------------------------------------- (10) Obligation: Q DP problem: The TRS P consists of the following rules: new_primMulNat(Succ(xv30000), Succ(xv40100)) -> new_primMulNat(xv30000, Succ(xv40100)) 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(xv40100)) -> new_primMulNat(xv30000, Succ(xv40100)) The graph contains the following edges 1 > 1, 2 >= 2 ---------------------------------------- (12) YES ---------------------------------------- (13) Obligation: Q DP problem: The TRS P consists of the following rules: new_primPlusNat(Succ(xv1400), Succ(xv401000)) -> new_primPlusNat(xv1400, xv401000) R is empty. Q is empty. We have to consider all minimal (P,Q,R)-chains. ---------------------------------------- (14) QDPSizeChangeProof (EQUIVALENT) By using the subterm criterion [SUBTERM_CRITERION] together with the size-change analysis [AAECC05] we have proven that there are no infinite chains for this DP problem. From the DPs we obtained the following set of size-change graphs: *new_primPlusNat(Succ(xv1400), Succ(xv401000)) -> new_primPlusNat(xv1400, xv401000) The graph contains the following edges 1 > 1, 2 > 2 ---------------------------------------- (15) YES ---------------------------------------- (16) Obligation: Q DP problem: The TRS P consists of the following rules: new_primEqNat(Succ(xv3000), Succ(xv4000)) -> new_primEqNat(xv3000, xv4000) R is empty. Q is empty. We have to consider all minimal (P,Q,R)-chains. ---------------------------------------- (17) QDPSizeChangeProof (EQUIVALENT) By using the subterm criterion [SUBTERM_CRITERION] together with the size-change analysis [AAECC05] we have proven that there are no infinite chains for this DP problem. From the DPs we obtained the following set of size-change graphs: *new_primEqNat(Succ(xv3000), Succ(xv4000)) -> new_primEqNat(xv3000, xv4000) The graph contains the following edges 1 > 1, 2 > 2 ---------------------------------------- (18) YES