/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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty H-Termination with start terms of the given HASKELL could be proven: (0) HASKELL (1) BR [EQUIVALENT, 0 ms] (2) HASKELL (3) COR [EQUIVALENT, 0 ms] (4)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, 7 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="burlywood",shape="triangle"];600[label="xv3/xv30 : xv31",fontsize=10,color="white",style="solid",shape="box"];4 -> 600[label="",style="solid", color="burlywood", weight=9]; 600 -> 5[label="",style="solid", color="burlywood", weight=3]; 601[label="xv3/[]",fontsize=10,color="white",style="solid",shape="box"];4 -> 601[label="",style="solid", color="burlywood", weight=9]; 601 -> 6[label="",style="solid", color="burlywood", weight=3]; 5[label="(==) xv30 : xv31 xv4",fontsize=16,color="burlywood",shape="box"];602[label="xv4/xv40 : xv41",fontsize=10,color="white",style="solid",shape="box"];5 -> 602[label="",style="solid", color="burlywood", weight=9]; 602 -> 7[label="",style="solid", color="burlywood", weight=3]; 603[label="xv4/[]",fontsize=10,color="white",style="solid",shape="box"];5 -> 603[label="",style="solid", color="burlywood", weight=9]; 603 -> 8[label="",style="solid", color="burlywood", weight=3]; 6[label="(==) [] xv4",fontsize=16,color="burlywood",shape="box"];604[label="xv4/xv40 : xv41",fontsize=10,color="white",style="solid",shape="box"];6 -> 604[label="",style="solid", color="burlywood", weight=9]; 604 -> 9[label="",style="solid", color="burlywood", weight=3]; 605[label="xv4/[]",fontsize=10,color="white",style="solid",shape="box"];6 -> 605[label="",style="solid", color="burlywood", weight=9]; 605 -> 10[label="",style="solid", color="burlywood", weight=3]; 7[label="(==) xv30 : xv31 xv40 : xv41",fontsize=16,color="black",shape="box"];7 -> 11[label="",style="solid", color="black", weight=3]; 8[label="(==) xv30 : xv31 []",fontsize=16,color="black",shape="box"];8 -> 12[label="",style="solid", color="black", weight=3]; 9[label="(==) [] xv40 : xv41",fontsize=16,color="black",shape="box"];9 -> 13[label="",style="solid", color="black", weight=3]; 10[label="(==) [] []",fontsize=16,color="black",shape="box"];10 -> 14[label="",style="solid", color="black", weight=3]; 11 -> 19[label="",style="dashed", color="red", weight=0]; 11[label="xv30 == xv40 && xv31 == xv41",fontsize=16,color="magenta"];11 -> 20[label="",style="dashed", color="magenta", weight=3]; 11 -> 21[label="",style="dashed", color="magenta", weight=3]; 12[label="False",fontsize=16,color="green",shape="box"];13[label="False",fontsize=16,color="green",shape="box"];14[label="True",fontsize=16,color="green",shape="box"];20[label="xv30 == xv40",fontsize=16,color="blue",shape="box"];606[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];20 -> 606[label="",style="solid", color="blue", weight=9]; 606 -> 24[label="",style="solid", color="blue", weight=3]; 607[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];20 -> 607[label="",style="solid", color="blue", weight=9]; 607 -> 25[label="",style="solid", color="blue", weight=3]; 608[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];20 -> 608[label="",style="solid", color="blue", weight=9]; 608 -> 26[label="",style="solid", color="blue", weight=3]; 609[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];20 -> 609[label="",style="solid", color="blue", weight=9]; 609 -> 27[label="",style="solid", color="blue", weight=3]; 610[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];20 -> 610[label="",style="solid", color="blue", weight=9]; 610 -> 28[label="",style="solid", color="blue", weight=3]; 611[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];20 -> 611[label="",style="solid", color="blue", weight=9]; 611 -> 29[label="",style="solid", color="blue", weight=3]; 612[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];20 -> 612[label="",style="solid", color="blue", weight=9]; 612 -> 30[label="",style="solid", color="blue", weight=3]; 613[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];20 -> 613[label="",style="solid", color="blue", weight=9]; 613 -> 31[label="",style="solid", color="blue", weight=3]; 614[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];20 -> 614[label="",style="solid", color="blue", weight=9]; 614 -> 32[label="",style="solid", color="blue", weight=3]; 615[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];20 -> 615[label="",style="solid", color="blue", weight=9]; 615 -> 33[label="",style="solid", color="blue", weight=3]; 616[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];20 -> 616[label="",style="solid", color="blue", weight=9]; 616 -> 34[label="",style="solid", color="blue", weight=3]; 617[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];20 -> 617[label="",style="solid", color="blue", weight=9]; 617 -> 35[label="",style="solid", color="blue", weight=3]; 618[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];20 -> 618[label="",style="solid", color="blue", weight=9]; 618 -> 36[label="",style="solid", color="blue", weight=3]; 619[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];20 -> 619[label="",style="solid", color="blue", weight=9]; 619 -> 37[label="",style="solid", color="blue", weight=3]; 21 -> 4[label="",style="dashed", color="red", weight=0]; 21[label="xv31 == xv41",fontsize=16,color="magenta"];21 -> 38[label="",style="dashed", color="magenta", weight=3]; 21 -> 39[label="",style="dashed", color="magenta", weight=3]; 19[label="xv9 && xv10",fontsize=16,color="burlywood",shape="triangle"];620[label="xv9/False",fontsize=10,color="white",style="solid",shape="box"];19 -> 620[label="",style="solid", color="burlywood", weight=9]; 620 -> 40[label="",style="solid", color="burlywood", weight=3]; 621[label="xv9/True",fontsize=10,color="white",style="solid",shape="box"];19 -> 621[label="",style="solid", color="burlywood", weight=9]; 621 -> 41[label="",style="solid", color="burlywood", weight=3]; 24[label="xv30 == xv40",fontsize=16,color="burlywood",shape="triangle"];622[label="xv30/Nothing",fontsize=10,color="white",style="solid",shape="box"];24 -> 622[label="",style="solid", color="burlywood", weight=9]; 622 -> 42[label="",style="solid", color="burlywood", weight=3]; 623[label="xv30/Just xv300",fontsize=10,color="white",style="solid",shape="box"];24 -> 623[label="",style="solid", color="burlywood", weight=9]; 623 -> 43[label="",style="solid", color="burlywood", weight=3]; 25[label="xv30 == xv40",fontsize=16,color="burlywood",shape="triangle"];624[label="xv30/xv300 :% xv301",fontsize=10,color="white",style="solid",shape="box"];25 -> 624[label="",style="solid", color="burlywood", weight=9]; 624 -> 44[label="",style="solid", color="burlywood", weight=3]; 26[label="xv30 == xv40",fontsize=16,color="burlywood",shape="triangle"];625[label="xv30/Left xv300",fontsize=10,color="white",style="solid",shape="box"];26 -> 625[label="",style="solid", color="burlywood", weight=9]; 625 -> 45[label="",style="solid", color="burlywood", weight=3]; 626[label="xv30/Right xv300",fontsize=10,color="white",style="solid",shape="box"];26 -> 626[label="",style="solid", color="burlywood", weight=9]; 626 -> 46[label="",style="solid", color="burlywood", weight=3]; 27 -> 4[label="",style="dashed", color="red", weight=0]; 27[label="xv30 == xv40",fontsize=16,color="magenta"];27 -> 47[label="",style="dashed", color="magenta", weight=3]; 27 -> 48[label="",style="dashed", color="magenta", weight=3]; 28[label="xv30 == xv40",fontsize=16,color="burlywood",shape="triangle"];627[label="xv30/(xv300,xv301,xv302)",fontsize=10,color="white",style="solid",shape="box"];28 -> 627[label="",style="solid", color="burlywood", weight=9]; 627 -> 49[label="",style="solid", color="burlywood", weight=3]; 29[label="xv30 == xv40",fontsize=16,color="black",shape="triangle"];29 -> 50[label="",style="solid", color="black", weight=3]; 30[label="xv30 == xv40",fontsize=16,color="black",shape="triangle"];30 -> 51[label="",style="solid", color="black", weight=3]; 31[label="xv30 == xv40",fontsize=16,color="burlywood",shape="triangle"];628[label="xv30/LT",fontsize=10,color="white",style="solid",shape="box"];31 -> 628[label="",style="solid", color="burlywood", weight=9]; 628 -> 52[label="",style="solid", color="burlywood", weight=3]; 629[label="xv30/EQ",fontsize=10,color="white",style="solid",shape="box"];31 -> 629[label="",style="solid", color="burlywood", weight=9]; 629 -> 53[label="",style="solid", color="burlywood", weight=3]; 630[label="xv30/GT",fontsize=10,color="white",style="solid",shape="box"];31 -> 630[label="",style="solid", color="burlywood", weight=9]; 630 -> 54[label="",style="solid", color="burlywood", weight=3]; 32[label="xv30 == xv40",fontsize=16,color="burlywood",shape="triangle"];631[label="xv30/(xv300,xv301)",fontsize=10,color="white",style="solid",shape="box"];32 -> 631[label="",style="solid", color="burlywood", weight=9]; 631 -> 55[label="",style="solid", color="burlywood", weight=3]; 33[label="xv30 == xv40",fontsize=16,color="burlywood",shape="triangle"];632[label="xv30/False",fontsize=10,color="white",style="solid",shape="box"];33 -> 632[label="",style="solid", color="burlywood", weight=9]; 632 -> 56[label="",style="solid", color="burlywood", weight=3]; 633[label="xv30/True",fontsize=10,color="white",style="solid",shape="box"];33 -> 633[label="",style="solid", color="burlywood", weight=9]; 633 -> 57[label="",style="solid", color="burlywood", weight=3]; 34[label="xv30 == xv40",fontsize=16,color="burlywood",shape="triangle"];634[label="xv30/Integer xv300",fontsize=10,color="white",style="solid",shape="box"];34 -> 634[label="",style="solid", color="burlywood", weight=9]; 634 -> 58[label="",style="solid", color="burlywood", weight=3]; 35[label="xv30 == xv40",fontsize=16,color="black",shape="triangle"];35 -> 59[label="",style="solid", color="black", weight=3]; 36[label="xv30 == xv40",fontsize=16,color="burlywood",shape="triangle"];635[label="xv30/()",fontsize=10,color="white",style="solid",shape="box"];36 -> 635[label="",style="solid", color="burlywood", weight=9]; 635 -> 60[label="",style="solid", color="burlywood", weight=3]; 37[label="xv30 == xv40",fontsize=16,color="black",shape="triangle"];37 -> 61[label="",style="solid", color="black", weight=3]; 38[label="xv31",fontsize=16,color="green",shape="box"];39[label="xv41",fontsize=16,color="green",shape="box"];40[label="False && xv10",fontsize=16,color="black",shape="box"];40 -> 62[label="",style="solid", color="black", weight=3]; 41[label="True && xv10",fontsize=16,color="black",shape="box"];41 -> 63[label="",style="solid", color="black", weight=3]; 42[label="Nothing == xv40",fontsize=16,color="burlywood",shape="box"];636[label="xv40/Nothing",fontsize=10,color="white",style="solid",shape="box"];42 -> 636[label="",style="solid", color="burlywood", weight=9]; 636 -> 64[label="",style="solid", color="burlywood", weight=3]; 637[label="xv40/Just xv400",fontsize=10,color="white",style="solid",shape="box"];42 -> 637[label="",style="solid", color="burlywood", weight=9]; 637 -> 65[label="",style="solid", color="burlywood", weight=3]; 43[label="Just xv300 == xv40",fontsize=16,color="burlywood",shape="box"];638[label="xv40/Nothing",fontsize=10,color="white",style="solid",shape="box"];43 -> 638[label="",style="solid", color="burlywood", weight=9]; 638 -> 66[label="",style="solid", color="burlywood", weight=3]; 639[label="xv40/Just xv400",fontsize=10,color="white",style="solid",shape="box"];43 -> 639[label="",style="solid", color="burlywood", weight=9]; 639 -> 67[label="",style="solid", color="burlywood", weight=3]; 44[label="xv300 :% xv301 == xv40",fontsize=16,color="burlywood",shape="box"];640[label="xv40/xv400 :% xv401",fontsize=10,color="white",style="solid",shape="box"];44 -> 640[label="",style="solid", color="burlywood", weight=9]; 640 -> 68[label="",style="solid", color="burlywood", weight=3]; 45[label="Left xv300 == xv40",fontsize=16,color="burlywood",shape="box"];641[label="xv40/Left xv400",fontsize=10,color="white",style="solid",shape="box"];45 -> 641[label="",style="solid", color="burlywood", weight=9]; 641 -> 69[label="",style="solid", color="burlywood", weight=3]; 642[label="xv40/Right xv400",fontsize=10,color="white",style="solid",shape="box"];45 -> 642[label="",style="solid", color="burlywood", weight=9]; 642 -> 70[label="",style="solid", color="burlywood", weight=3]; 46[label="Right xv300 == xv40",fontsize=16,color="burlywood",shape="box"];643[label="xv40/Left xv400",fontsize=10,color="white",style="solid",shape="box"];46 -> 643[label="",style="solid", color="burlywood", weight=9]; 643 -> 71[label="",style="solid", color="burlywood", weight=3]; 644[label="xv40/Right xv400",fontsize=10,color="white",style="solid",shape="box"];46 -> 644[label="",style="solid", color="burlywood", weight=9]; 644 -> 72[label="",style="solid", color="burlywood", weight=3]; 47[label="xv30",fontsize=16,color="green",shape="box"];48[label="xv40",fontsize=16,color="green",shape="box"];49[label="(xv300,xv301,xv302) == xv40",fontsize=16,color="burlywood",shape="box"];645[label="xv40/(xv400,xv401,xv402)",fontsize=10,color="white",style="solid",shape="box"];49 -> 645[label="",style="solid", color="burlywood", weight=9]; 645 -> 73[label="",style="solid", color="burlywood", weight=3]; 50[label="primEqDouble xv30 xv40",fontsize=16,color="burlywood",shape="box"];646[label="xv30/Double xv300 xv301",fontsize=10,color="white",style="solid",shape="box"];50 -> 646[label="",style="solid", color="burlywood", weight=9]; 646 -> 74[label="",style="solid", color="burlywood", weight=3]; 51[label="primEqChar xv30 xv40",fontsize=16,color="burlywood",shape="box"];647[label="xv30/Char xv300",fontsize=10,color="white",style="solid",shape="box"];51 -> 647[label="",style="solid", color="burlywood", weight=9]; 647 -> 75[label="",style="solid", color="burlywood", weight=3]; 52[label="LT == xv40",fontsize=16,color="burlywood",shape="box"];648[label="xv40/LT",fontsize=10,color="white",style="solid",shape="box"];52 -> 648[label="",style="solid", color="burlywood", weight=9]; 648 -> 76[label="",style="solid", color="burlywood", weight=3]; 649[label="xv40/EQ",fontsize=10,color="white",style="solid",shape="box"];52 -> 649[label="",style="solid", color="burlywood", weight=9]; 649 -> 77[label="",style="solid", color="burlywood", weight=3]; 650[label="xv40/GT",fontsize=10,color="white",style="solid",shape="box"];52 -> 650[label="",style="solid", color="burlywood", weight=9]; 650 -> 78[label="",style="solid", color="burlywood", weight=3]; 53[label="EQ == xv40",fontsize=16,color="burlywood",shape="box"];651[label="xv40/LT",fontsize=10,color="white",style="solid",shape="box"];53 -> 651[label="",style="solid", color="burlywood", weight=9]; 651 -> 79[label="",style="solid", color="burlywood", weight=3]; 652[label="xv40/EQ",fontsize=10,color="white",style="solid",shape="box"];53 -> 652[label="",style="solid", color="burlywood", weight=9]; 652 -> 80[label="",style="solid", color="burlywood", weight=3]; 653[label="xv40/GT",fontsize=10,color="white",style="solid",shape="box"];53 -> 653[label="",style="solid", color="burlywood", weight=9]; 653 -> 81[label="",style="solid", color="burlywood", weight=3]; 54[label="GT == xv40",fontsize=16,color="burlywood",shape="box"];654[label="xv40/LT",fontsize=10,color="white",style="solid",shape="box"];54 -> 654[label="",style="solid", color="burlywood", weight=9]; 654 -> 82[label="",style="solid", color="burlywood", weight=3]; 655[label="xv40/EQ",fontsize=10,color="white",style="solid",shape="box"];54 -> 655[label="",style="solid", color="burlywood", weight=9]; 655 -> 83[label="",style="solid", color="burlywood", weight=3]; 656[label="xv40/GT",fontsize=10,color="white",style="solid",shape="box"];54 -> 656[label="",style="solid", color="burlywood", weight=9]; 656 -> 84[label="",style="solid", color="burlywood", weight=3]; 55[label="(xv300,xv301) == xv40",fontsize=16,color="burlywood",shape="box"];657[label="xv40/(xv400,xv401)",fontsize=10,color="white",style="solid",shape="box"];55 -> 657[label="",style="solid", color="burlywood", weight=9]; 657 -> 85[label="",style="solid", color="burlywood", weight=3]; 56[label="False == xv40",fontsize=16,color="burlywood",shape="box"];658[label="xv40/False",fontsize=10,color="white",style="solid",shape="box"];56 -> 658[label="",style="solid", color="burlywood", weight=9]; 658 -> 86[label="",style="solid", color="burlywood", weight=3]; 659[label="xv40/True",fontsize=10,color="white",style="solid",shape="box"];56 -> 659[label="",style="solid", color="burlywood", weight=9]; 659 -> 87[label="",style="solid", color="burlywood", weight=3]; 57[label="True == xv40",fontsize=16,color="burlywood",shape="box"];660[label="xv40/False",fontsize=10,color="white",style="solid",shape="box"];57 -> 660[label="",style="solid", color="burlywood", weight=9]; 660 -> 88[label="",style="solid", color="burlywood", weight=3]; 661[label="xv40/True",fontsize=10,color="white",style="solid",shape="box"];57 -> 661[label="",style="solid", color="burlywood", weight=9]; 661 -> 89[label="",style="solid", color="burlywood", weight=3]; 58[label="Integer xv300 == xv40",fontsize=16,color="burlywood",shape="box"];662[label="xv40/Integer xv400",fontsize=10,color="white",style="solid",shape="box"];58 -> 662[label="",style="solid", color="burlywood", weight=9]; 662 -> 90[label="",style="solid", color="burlywood", weight=3]; 59[label="primEqInt xv30 xv40",fontsize=16,color="burlywood",shape="triangle"];663[label="xv30/Pos xv300",fontsize=10,color="white",style="solid",shape="box"];59 -> 663[label="",style="solid", color="burlywood", weight=9]; 663 -> 91[label="",style="solid", color="burlywood", weight=3]; 664[label="xv30/Neg xv300",fontsize=10,color="white",style="solid",shape="box"];59 -> 664[label="",style="solid", color="burlywood", weight=9]; 664 -> 92[label="",style="solid", color="burlywood", weight=3]; 60[label="() == xv40",fontsize=16,color="burlywood",shape="box"];665[label="xv40/()",fontsize=10,color="white",style="solid",shape="box"];60 -> 665[label="",style="solid", color="burlywood", weight=9]; 665 -> 93[label="",style="solid", color="burlywood", weight=3]; 61[label="primEqFloat xv30 xv40",fontsize=16,color="burlywood",shape="box"];666[label="xv30/Float xv300 xv301",fontsize=10,color="white",style="solid",shape="box"];61 -> 666[label="",style="solid", color="burlywood", weight=9]; 666 -> 94[label="",style="solid", color="burlywood", weight=3]; 62[label="False",fontsize=16,color="green",shape="box"];63[label="xv10",fontsize=16,color="green",shape="box"];64[label="Nothing == Nothing",fontsize=16,color="black",shape="box"];64 -> 95[label="",style="solid", color="black", weight=3]; 65[label="Nothing == Just xv400",fontsize=16,color="black",shape="box"];65 -> 96[label="",style="solid", color="black", weight=3]; 66[label="Just xv300 == Nothing",fontsize=16,color="black",shape="box"];66 -> 97[label="",style="solid", color="black", weight=3]; 67[label="Just xv300 == Just xv400",fontsize=16,color="black",shape="box"];67 -> 98[label="",style="solid", color="black", weight=3]; 68[label="xv300 :% xv301 == xv400 :% xv401",fontsize=16,color="black",shape="box"];68 -> 99[label="",style="solid", color="black", weight=3]; 69[label="Left xv300 == Left xv400",fontsize=16,color="black",shape="box"];69 -> 100[label="",style="solid", color="black", weight=3]; 70[label="Left xv300 == Right xv400",fontsize=16,color="black",shape="box"];70 -> 101[label="",style="solid", color="black", weight=3]; 71[label="Right xv300 == Left xv400",fontsize=16,color="black",shape="box"];71 -> 102[label="",style="solid", color="black", weight=3]; 72[label="Right xv300 == Right xv400",fontsize=16,color="black",shape="box"];72 -> 103[label="",style="solid", color="black", weight=3]; 73[label="(xv300,xv301,xv302) == (xv400,xv401,xv402)",fontsize=16,color="black",shape="box"];73 -> 104[label="",style="solid", color="black", weight=3]; 74[label="primEqDouble (Double xv300 xv301) xv40",fontsize=16,color="burlywood",shape="box"];667[label="xv40/Double xv400 xv401",fontsize=10,color="white",style="solid",shape="box"];74 -> 667[label="",style="solid", color="burlywood", weight=9]; 667 -> 105[label="",style="solid", color="burlywood", weight=3]; 75[label="primEqChar (Char xv300) xv40",fontsize=16,color="burlywood",shape="box"];668[label="xv40/Char xv400",fontsize=10,color="white",style="solid",shape="box"];75 -> 668[label="",style="solid", color="burlywood", weight=9]; 668 -> 106[label="",style="solid", color="burlywood", weight=3]; 76[label="LT == LT",fontsize=16,color="black",shape="box"];76 -> 107[label="",style="solid", color="black", weight=3]; 77[label="LT == EQ",fontsize=16,color="black",shape="box"];77 -> 108[label="",style="solid", color="black", weight=3]; 78[label="LT == GT",fontsize=16,color="black",shape="box"];78 -> 109[label="",style="solid", color="black", weight=3]; 79[label="EQ == LT",fontsize=16,color="black",shape="box"];79 -> 110[label="",style="solid", color="black", weight=3]; 80[label="EQ == EQ",fontsize=16,color="black",shape="box"];80 -> 111[label="",style="solid", color="black", weight=3]; 81[label="EQ == GT",fontsize=16,color="black",shape="box"];81 -> 112[label="",style="solid", color="black", weight=3]; 82[label="GT == LT",fontsize=16,color="black",shape="box"];82 -> 113[label="",style="solid", color="black", weight=3]; 83[label="GT == EQ",fontsize=16,color="black",shape="box"];83 -> 114[label="",style="solid", color="black", weight=3]; 84[label="GT == GT",fontsize=16,color="black",shape="box"];84 -> 115[label="",style="solid", color="black", weight=3]; 85[label="(xv300,xv301) == (xv400,xv401)",fontsize=16,color="black",shape="box"];85 -> 116[label="",style="solid", color="black", weight=3]; 86[label="False == False",fontsize=16,color="black",shape="box"];86 -> 117[label="",style="solid", color="black", weight=3]; 87[label="False == True",fontsize=16,color="black",shape="box"];87 -> 118[label="",style="solid", color="black", weight=3]; 88[label="True == False",fontsize=16,color="black",shape="box"];88 -> 119[label="",style="solid", color="black", weight=3]; 89[label="True == True",fontsize=16,color="black",shape="box"];89 -> 120[label="",style="solid", color="black", weight=3]; 90[label="Integer xv300 == Integer xv400",fontsize=16,color="black",shape="box"];90 -> 121[label="",style="solid", color="black", weight=3]; 91[label="primEqInt (Pos xv300) xv40",fontsize=16,color="burlywood",shape="box"];669[label="xv300/Succ xv3000",fontsize=10,color="white",style="solid",shape="box"];91 -> 669[label="",style="solid", color="burlywood", weight=9]; 669 -> 122[label="",style="solid", color="burlywood", weight=3]; 670[label="xv300/Zero",fontsize=10,color="white",style="solid",shape="box"];91 -> 670[label="",style="solid", color="burlywood", weight=9]; 670 -> 123[label="",style="solid", color="burlywood", weight=3]; 92[label="primEqInt (Neg xv300) xv40",fontsize=16,color="burlywood",shape="box"];671[label="xv300/Succ xv3000",fontsize=10,color="white",style="solid",shape="box"];92 -> 671[label="",style="solid", color="burlywood", weight=9]; 671 -> 124[label="",style="solid", color="burlywood", weight=3]; 672[label="xv300/Zero",fontsize=10,color="white",style="solid",shape="box"];92 -> 672[label="",style="solid", color="burlywood", weight=9]; 672 -> 125[label="",style="solid", color="burlywood", weight=3]; 93[label="() == ()",fontsize=16,color="black",shape="box"];93 -> 126[label="",style="solid", color="black", weight=3]; 94[label="primEqFloat (Float xv300 xv301) xv40",fontsize=16,color="burlywood",shape="box"];673[label="xv40/Float xv400 xv401",fontsize=10,color="white",style="solid",shape="box"];94 -> 673[label="",style="solid", color="burlywood", weight=9]; 673 -> 127[label="",style="solid", color="burlywood", weight=3]; 95[label="True",fontsize=16,color="green",shape="box"];96[label="False",fontsize=16,color="green",shape="box"];97[label="False",fontsize=16,color="green",shape="box"];98[label="xv300 == xv400",fontsize=16,color="blue",shape="box"];674[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];98 -> 674[label="",style="solid", color="blue", weight=9]; 674 -> 128[label="",style="solid", color="blue", weight=3]; 675[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];98 -> 675[label="",style="solid", color="blue", weight=9]; 675 -> 129[label="",style="solid", color="blue", weight=3]; 676[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];98 -> 676[label="",style="solid", color="blue", weight=9]; 676 -> 130[label="",style="solid", color="blue", weight=3]; 677[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];98 -> 677[label="",style="solid", color="blue", weight=9]; 677 -> 131[label="",style="solid", color="blue", weight=3]; 678[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];98 -> 678[label="",style="solid", color="blue", weight=9]; 678 -> 132[label="",style="solid", color="blue", weight=3]; 679[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];98 -> 679[label="",style="solid", color="blue", weight=9]; 679 -> 133[label="",style="solid", color="blue", weight=3]; 680[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];98 -> 680[label="",style="solid", color="blue", weight=9]; 680 -> 134[label="",style="solid", color="blue", weight=3]; 681[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];98 -> 681[label="",style="solid", color="blue", weight=9]; 681 -> 135[label="",style="solid", color="blue", weight=3]; 682[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];98 -> 682[label="",style="solid", color="blue", weight=9]; 682 -> 136[label="",style="solid", color="blue", weight=3]; 683[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];98 -> 683[label="",style="solid", color="blue", weight=9]; 683 -> 137[label="",style="solid", color="blue", weight=3]; 684[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];98 -> 684[label="",style="solid", color="blue", weight=9]; 684 -> 138[label="",style="solid", color="blue", weight=3]; 685[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];98 -> 685[label="",style="solid", color="blue", weight=9]; 685 -> 139[label="",style="solid", color="blue", weight=3]; 686[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];98 -> 686[label="",style="solid", color="blue", weight=9]; 686 -> 140[label="",style="solid", color="blue", weight=3]; 687[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];98 -> 687[label="",style="solid", color="blue", weight=9]; 687 -> 141[label="",style="solid", color="blue", weight=3]; 99 -> 19[label="",style="dashed", color="red", weight=0]; 99[label="xv300 == xv400 && xv301 == xv401",fontsize=16,color="magenta"];99 -> 142[label="",style="dashed", color="magenta", weight=3]; 99 -> 143[label="",style="dashed", color="magenta", weight=3]; 100[label="xv300 == xv400",fontsize=16,color="blue",shape="box"];688[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];100 -> 688[label="",style="solid", color="blue", weight=9]; 688 -> 144[label="",style="solid", color="blue", weight=3]; 689[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];100 -> 689[label="",style="solid", color="blue", weight=9]; 689 -> 145[label="",style="solid", color="blue", weight=3]; 690[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];100 -> 690[label="",style="solid", color="blue", weight=9]; 690 -> 146[label="",style="solid", color="blue", weight=3]; 691[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];100 -> 691[label="",style="solid", color="blue", weight=9]; 691 -> 147[label="",style="solid", color="blue", weight=3]; 692[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];100 -> 692[label="",style="solid", color="blue", weight=9]; 692 -> 148[label="",style="solid", color="blue", weight=3]; 693[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];100 -> 693[label="",style="solid", color="blue", weight=9]; 693 -> 149[label="",style="solid", color="blue", weight=3]; 694[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];100 -> 694[label="",style="solid", color="blue", weight=9]; 694 -> 150[label="",style="solid", color="blue", weight=3]; 695[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];100 -> 695[label="",style="solid", color="blue", weight=9]; 695 -> 151[label="",style="solid", color="blue", weight=3]; 696[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];100 -> 696[label="",style="solid", color="blue", weight=9]; 696 -> 152[label="",style="solid", color="blue", weight=3]; 697[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];100 -> 697[label="",style="solid", color="blue", weight=9]; 697 -> 153[label="",style="solid", color="blue", weight=3]; 698[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];100 -> 698[label="",style="solid", color="blue", weight=9]; 698 -> 154[label="",style="solid", color="blue", weight=3]; 699[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];100 -> 699[label="",style="solid", color="blue", weight=9]; 699 -> 155[label="",style="solid", color="blue", weight=3]; 700[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];100 -> 700[label="",style="solid", color="blue", weight=9]; 700 -> 156[label="",style="solid", color="blue", weight=3]; 701[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];100 -> 701[label="",style="solid", color="blue", weight=9]; 701 -> 157[label="",style="solid", color="blue", weight=3]; 101[label="False",fontsize=16,color="green",shape="box"];102[label="False",fontsize=16,color="green",shape="box"];103[label="xv300 == xv400",fontsize=16,color="blue",shape="box"];702[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];103 -> 702[label="",style="solid", color="blue", weight=9]; 702 -> 158[label="",style="solid", color="blue", weight=3]; 703[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];103 -> 703[label="",style="solid", color="blue", weight=9]; 703 -> 159[label="",style="solid", color="blue", weight=3]; 704[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];103 -> 704[label="",style="solid", color="blue", weight=9]; 704 -> 160[label="",style="solid", color="blue", weight=3]; 705[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];103 -> 705[label="",style="solid", color="blue", weight=9]; 705 -> 161[label="",style="solid", color="blue", weight=3]; 706[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];103 -> 706[label="",style="solid", color="blue", weight=9]; 706 -> 162[label="",style="solid", color="blue", weight=3]; 707[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];103 -> 707[label="",style="solid", color="blue", weight=9]; 707 -> 163[label="",style="solid", color="blue", weight=3]; 708[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];103 -> 708[label="",style="solid", color="blue", weight=9]; 708 -> 164[label="",style="solid", color="blue", weight=3]; 709[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];103 -> 709[label="",style="solid", color="blue", weight=9]; 709 -> 165[label="",style="solid", color="blue", weight=3]; 710[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];103 -> 710[label="",style="solid", color="blue", weight=9]; 710 -> 166[label="",style="solid", color="blue", weight=3]; 711[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];103 -> 711[label="",style="solid", color="blue", weight=9]; 711 -> 167[label="",style="solid", color="blue", weight=3]; 712[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];103 -> 712[label="",style="solid", color="blue", weight=9]; 712 -> 168[label="",style="solid", color="blue", weight=3]; 713[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];103 -> 713[label="",style="solid", color="blue", weight=9]; 713 -> 169[label="",style="solid", color="blue", weight=3]; 714[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];103 -> 714[label="",style="solid", color="blue", weight=9]; 714 -> 170[label="",style="solid", color="blue", weight=3]; 715[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];103 -> 715[label="",style="solid", color="blue", weight=9]; 715 -> 171[label="",style="solid", color="blue", weight=3]; 104 -> 19[label="",style="dashed", color="red", weight=0]; 104[label="xv300 == xv400 && xv301 == xv401 && xv302 == xv402",fontsize=16,color="magenta"];104 -> 172[label="",style="dashed", color="magenta", weight=3]; 104 -> 173[label="",style="dashed", color="magenta", weight=3]; 105[label="primEqDouble (Double xv300 xv301) (Double xv400 xv401)",fontsize=16,color="black",shape="box"];105 -> 174[label="",style="solid", color="black", weight=3]; 106[label="primEqChar (Char xv300) (Char xv400)",fontsize=16,color="black",shape="box"];106 -> 175[label="",style="solid", color="black", weight=3]; 107[label="True",fontsize=16,color="green",shape="box"];108[label="False",fontsize=16,color="green",shape="box"];109[label="False",fontsize=16,color="green",shape="box"];110[label="False",fontsize=16,color="green",shape="box"];111[label="True",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="False",fontsize=16,color="green",shape="box"];115[label="True",fontsize=16,color="green",shape="box"];116 -> 19[label="",style="dashed", color="red", weight=0]; 116[label="xv300 == xv400 && xv301 == xv401",fontsize=16,color="magenta"];116 -> 176[label="",style="dashed", color="magenta", weight=3]; 116 -> 177[label="",style="dashed", color="magenta", weight=3]; 117[label="True",fontsize=16,color="green",shape="box"];118[label="False",fontsize=16,color="green",shape="box"];119[label="False",fontsize=16,color="green",shape="box"];120[label="True",fontsize=16,color="green",shape="box"];121 -> 59[label="",style="dashed", color="red", weight=0]; 121[label="primEqInt xv300 xv400",fontsize=16,color="magenta"];121 -> 178[label="",style="dashed", color="magenta", weight=3]; 121 -> 179[label="",style="dashed", color="magenta", weight=3]; 122[label="primEqInt (Pos (Succ xv3000)) xv40",fontsize=16,color="burlywood",shape="box"];716[label="xv40/Pos xv400",fontsize=10,color="white",style="solid",shape="box"];122 -> 716[label="",style="solid", color="burlywood", weight=9]; 716 -> 180[label="",style="solid", color="burlywood", weight=3]; 717[label="xv40/Neg xv400",fontsize=10,color="white",style="solid",shape="box"];122 -> 717[label="",style="solid", color="burlywood", weight=9]; 717 -> 181[label="",style="solid", color="burlywood", weight=3]; 123[label="primEqInt (Pos Zero) xv40",fontsize=16,color="burlywood",shape="box"];718[label="xv40/Pos xv400",fontsize=10,color="white",style="solid",shape="box"];123 -> 718[label="",style="solid", color="burlywood", weight=9]; 718 -> 182[label="",style="solid", color="burlywood", weight=3]; 719[label="xv40/Neg xv400",fontsize=10,color="white",style="solid",shape="box"];123 -> 719[label="",style="solid", color="burlywood", weight=9]; 719 -> 183[label="",style="solid", color="burlywood", weight=3]; 124[label="primEqInt (Neg (Succ xv3000)) xv40",fontsize=16,color="burlywood",shape="box"];720[label="xv40/Pos xv400",fontsize=10,color="white",style="solid",shape="box"];124 -> 720[label="",style="solid", color="burlywood", weight=9]; 720 -> 184[label="",style="solid", color="burlywood", weight=3]; 721[label="xv40/Neg xv400",fontsize=10,color="white",style="solid",shape="box"];124 -> 721[label="",style="solid", color="burlywood", weight=9]; 721 -> 185[label="",style="solid", color="burlywood", weight=3]; 125[label="primEqInt (Neg Zero) xv40",fontsize=16,color="burlywood",shape="box"];722[label="xv40/Pos xv400",fontsize=10,color="white",style="solid",shape="box"];125 -> 722[label="",style="solid", color="burlywood", weight=9]; 722 -> 186[label="",style="solid", color="burlywood", weight=3]; 723[label="xv40/Neg xv400",fontsize=10,color="white",style="solid",shape="box"];125 -> 723[label="",style="solid", color="burlywood", weight=9]; 723 -> 187[label="",style="solid", color="burlywood", weight=3]; 126[label="True",fontsize=16,color="green",shape="box"];127[label="primEqFloat (Float xv300 xv301) (Float xv400 xv401)",fontsize=16,color="black",shape="box"];127 -> 188[label="",style="solid", color="black", weight=3]; 128 -> 24[label="",style="dashed", color="red", weight=0]; 128[label="xv300 == xv400",fontsize=16,color="magenta"];128 -> 189[label="",style="dashed", color="magenta", weight=3]; 128 -> 190[label="",style="dashed", color="magenta", weight=3]; 129 -> 25[label="",style="dashed", color="red", weight=0]; 129[label="xv300 == xv400",fontsize=16,color="magenta"];129 -> 191[label="",style="dashed", color="magenta", weight=3]; 129 -> 192[label="",style="dashed", color="magenta", weight=3]; 130 -> 26[label="",style="dashed", color="red", weight=0]; 130[label="xv300 == xv400",fontsize=16,color="magenta"];130 -> 193[label="",style="dashed", color="magenta", weight=3]; 130 -> 194[label="",style="dashed", color="magenta", weight=3]; 131 -> 4[label="",style="dashed", color="red", weight=0]; 131[label="xv300 == xv400",fontsize=16,color="magenta"];131 -> 195[label="",style="dashed", color="magenta", weight=3]; 131 -> 196[label="",style="dashed", color="magenta", weight=3]; 132 -> 28[label="",style="dashed", color="red", weight=0]; 132[label="xv300 == xv400",fontsize=16,color="magenta"];132 -> 197[label="",style="dashed", color="magenta", weight=3]; 132 -> 198[label="",style="dashed", color="magenta", weight=3]; 133 -> 29[label="",style="dashed", color="red", weight=0]; 133[label="xv300 == xv400",fontsize=16,color="magenta"];133 -> 199[label="",style="dashed", color="magenta", weight=3]; 133 -> 200[label="",style="dashed", color="magenta", weight=3]; 134 -> 30[label="",style="dashed", color="red", weight=0]; 134[label="xv300 == xv400",fontsize=16,color="magenta"];134 -> 201[label="",style="dashed", color="magenta", weight=3]; 134 -> 202[label="",style="dashed", color="magenta", weight=3]; 135 -> 31[label="",style="dashed", color="red", weight=0]; 135[label="xv300 == xv400",fontsize=16,color="magenta"];135 -> 203[label="",style="dashed", color="magenta", weight=3]; 135 -> 204[label="",style="dashed", color="magenta", weight=3]; 136 -> 32[label="",style="dashed", color="red", weight=0]; 136[label="xv300 == xv400",fontsize=16,color="magenta"];136 -> 205[label="",style="dashed", color="magenta", weight=3]; 136 -> 206[label="",style="dashed", color="magenta", weight=3]; 137 -> 33[label="",style="dashed", color="red", weight=0]; 137[label="xv300 == xv400",fontsize=16,color="magenta"];137 -> 207[label="",style="dashed", color="magenta", weight=3]; 137 -> 208[label="",style="dashed", color="magenta", weight=3]; 138 -> 34[label="",style="dashed", color="red", weight=0]; 138[label="xv300 == xv400",fontsize=16,color="magenta"];138 -> 209[label="",style="dashed", color="magenta", weight=3]; 138 -> 210[label="",style="dashed", color="magenta", weight=3]; 139 -> 35[label="",style="dashed", color="red", weight=0]; 139[label="xv300 == xv400",fontsize=16,color="magenta"];139 -> 211[label="",style="dashed", color="magenta", weight=3]; 139 -> 212[label="",style="dashed", color="magenta", weight=3]; 140 -> 36[label="",style="dashed", color="red", weight=0]; 140[label="xv300 == xv400",fontsize=16,color="magenta"];140 -> 213[label="",style="dashed", color="magenta", weight=3]; 140 -> 214[label="",style="dashed", color="magenta", weight=3]; 141 -> 37[label="",style="dashed", color="red", weight=0]; 141[label="xv300 == xv400",fontsize=16,color="magenta"];141 -> 215[label="",style="dashed", color="magenta", weight=3]; 141 -> 216[label="",style="dashed", color="magenta", weight=3]; 142[label="xv300 == xv400",fontsize=16,color="blue",shape="box"];724[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];142 -> 724[label="",style="solid", color="blue", weight=9]; 724 -> 217[label="",style="solid", color="blue", weight=3]; 725[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];142 -> 725[label="",style="solid", color="blue", weight=9]; 725 -> 218[label="",style="solid", color="blue", weight=3]; 143[label="xv301 == xv401",fontsize=16,color="blue",shape="box"];726[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];143 -> 726[label="",style="solid", color="blue", weight=9]; 726 -> 219[label="",style="solid", color="blue", weight=3]; 727[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];143 -> 727[label="",style="solid", color="blue", weight=9]; 727 -> 220[label="",style="solid", color="blue", weight=3]; 144 -> 24[label="",style="dashed", color="red", weight=0]; 144[label="xv300 == xv400",fontsize=16,color="magenta"];144 -> 221[label="",style="dashed", color="magenta", weight=3]; 144 -> 222[label="",style="dashed", color="magenta", weight=3]; 145 -> 25[label="",style="dashed", color="red", weight=0]; 145[label="xv300 == xv400",fontsize=16,color="magenta"];145 -> 223[label="",style="dashed", color="magenta", weight=3]; 145 -> 224[label="",style="dashed", color="magenta", weight=3]; 146 -> 26[label="",style="dashed", color="red", weight=0]; 146[label="xv300 == xv400",fontsize=16,color="magenta"];146 -> 225[label="",style="dashed", color="magenta", weight=3]; 146 -> 226[label="",style="dashed", color="magenta", weight=3]; 147 -> 4[label="",style="dashed", color="red", weight=0]; 147[label="xv300 == xv400",fontsize=16,color="magenta"];147 -> 227[label="",style="dashed", color="magenta", weight=3]; 147 -> 228[label="",style="dashed", color="magenta", weight=3]; 148 -> 28[label="",style="dashed", color="red", weight=0]; 148[label="xv300 == xv400",fontsize=16,color="magenta"];148 -> 229[label="",style="dashed", color="magenta", weight=3]; 148 -> 230[label="",style="dashed", color="magenta", weight=3]; 149 -> 29[label="",style="dashed", color="red", weight=0]; 149[label="xv300 == xv400",fontsize=16,color="magenta"];149 -> 231[label="",style="dashed", color="magenta", weight=3]; 149 -> 232[label="",style="dashed", color="magenta", weight=3]; 150 -> 30[label="",style="dashed", color="red", weight=0]; 150[label="xv300 == xv400",fontsize=16,color="magenta"];150 -> 233[label="",style="dashed", color="magenta", weight=3]; 150 -> 234[label="",style="dashed", color="magenta", weight=3]; 151 -> 31[label="",style="dashed", color="red", weight=0]; 151[label="xv300 == xv400",fontsize=16,color="magenta"];151 -> 235[label="",style="dashed", color="magenta", weight=3]; 151 -> 236[label="",style="dashed", color="magenta", weight=3]; 152 -> 32[label="",style="dashed", color="red", weight=0]; 152[label="xv300 == xv400",fontsize=16,color="magenta"];152 -> 237[label="",style="dashed", color="magenta", weight=3]; 152 -> 238[label="",style="dashed", color="magenta", weight=3]; 153 -> 33[label="",style="dashed", color="red", weight=0]; 153[label="xv300 == xv400",fontsize=16,color="magenta"];153 -> 239[label="",style="dashed", color="magenta", weight=3]; 153 -> 240[label="",style="dashed", color="magenta", weight=3]; 154 -> 34[label="",style="dashed", color="red", weight=0]; 154[label="xv300 == xv400",fontsize=16,color="magenta"];154 -> 241[label="",style="dashed", color="magenta", weight=3]; 154 -> 242[label="",style="dashed", color="magenta", weight=3]; 155 -> 35[label="",style="dashed", color="red", weight=0]; 155[label="xv300 == xv400",fontsize=16,color="magenta"];155 -> 243[label="",style="dashed", color="magenta", weight=3]; 155 -> 244[label="",style="dashed", color="magenta", weight=3]; 156 -> 36[label="",style="dashed", color="red", weight=0]; 156[label="xv300 == xv400",fontsize=16,color="magenta"];156 -> 245[label="",style="dashed", color="magenta", weight=3]; 156 -> 246[label="",style="dashed", color="magenta", weight=3]; 157 -> 37[label="",style="dashed", color="red", weight=0]; 157[label="xv300 == xv400",fontsize=16,color="magenta"];157 -> 247[label="",style="dashed", color="magenta", weight=3]; 157 -> 248[label="",style="dashed", color="magenta", weight=3]; 158 -> 24[label="",style="dashed", color="red", weight=0]; 158[label="xv300 == xv400",fontsize=16,color="magenta"];158 -> 249[label="",style="dashed", color="magenta", weight=3]; 158 -> 250[label="",style="dashed", color="magenta", weight=3]; 159 -> 25[label="",style="dashed", color="red", weight=0]; 159[label="xv300 == xv400",fontsize=16,color="magenta"];159 -> 251[label="",style="dashed", color="magenta", weight=3]; 159 -> 252[label="",style="dashed", color="magenta", weight=3]; 160 -> 26[label="",style="dashed", color="red", weight=0]; 160[label="xv300 == xv400",fontsize=16,color="magenta"];160 -> 253[label="",style="dashed", color="magenta", weight=3]; 160 -> 254[label="",style="dashed", color="magenta", weight=3]; 161 -> 4[label="",style="dashed", color="red", weight=0]; 161[label="xv300 == xv400",fontsize=16,color="magenta"];161 -> 255[label="",style="dashed", color="magenta", weight=3]; 161 -> 256[label="",style="dashed", color="magenta", weight=3]; 162 -> 28[label="",style="dashed", color="red", weight=0]; 162[label="xv300 == xv400",fontsize=16,color="magenta"];162 -> 257[label="",style="dashed", color="magenta", weight=3]; 162 -> 258[label="",style="dashed", color="magenta", weight=3]; 163 -> 29[label="",style="dashed", color="red", weight=0]; 163[label="xv300 == xv400",fontsize=16,color="magenta"];163 -> 259[label="",style="dashed", color="magenta", weight=3]; 163 -> 260[label="",style="dashed", color="magenta", weight=3]; 164 -> 30[label="",style="dashed", color="red", weight=0]; 164[label="xv300 == xv400",fontsize=16,color="magenta"];164 -> 261[label="",style="dashed", color="magenta", weight=3]; 164 -> 262[label="",style="dashed", color="magenta", weight=3]; 165 -> 31[label="",style="dashed", color="red", weight=0]; 165[label="xv300 == xv400",fontsize=16,color="magenta"];165 -> 263[label="",style="dashed", color="magenta", weight=3]; 165 -> 264[label="",style="dashed", color="magenta", weight=3]; 166 -> 32[label="",style="dashed", color="red", weight=0]; 166[label="xv300 == xv400",fontsize=16,color="magenta"];166 -> 265[label="",style="dashed", color="magenta", weight=3]; 166 -> 266[label="",style="dashed", color="magenta", weight=3]; 167 -> 33[label="",style="dashed", color="red", weight=0]; 167[label="xv300 == xv400",fontsize=16,color="magenta"];167 -> 267[label="",style="dashed", color="magenta", weight=3]; 167 -> 268[label="",style="dashed", color="magenta", weight=3]; 168 -> 34[label="",style="dashed", color="red", weight=0]; 168[label="xv300 == xv400",fontsize=16,color="magenta"];168 -> 269[label="",style="dashed", color="magenta", weight=3]; 168 -> 270[label="",style="dashed", color="magenta", weight=3]; 169 -> 35[label="",style="dashed", color="red", weight=0]; 169[label="xv300 == xv400",fontsize=16,color="magenta"];169 -> 271[label="",style="dashed", color="magenta", weight=3]; 169 -> 272[label="",style="dashed", color="magenta", weight=3]; 170 -> 36[label="",style="dashed", color="red", weight=0]; 170[label="xv300 == xv400",fontsize=16,color="magenta"];170 -> 273[label="",style="dashed", color="magenta", weight=3]; 170 -> 274[label="",style="dashed", color="magenta", weight=3]; 171 -> 37[label="",style="dashed", color="red", weight=0]; 171[label="xv300 == xv400",fontsize=16,color="magenta"];171 -> 275[label="",style="dashed", color="magenta", weight=3]; 171 -> 276[label="",style="dashed", color="magenta", weight=3]; 172[label="xv300 == xv400",fontsize=16,color="blue",shape="box"];728[label="== :: (Maybe a) -> (Maybe a) -> 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color="blue", weight=9]; 732 -> 281[label="",style="solid", color="blue", weight=3]; 733[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];172 -> 733[label="",style="solid", color="blue", weight=9]; 733 -> 282[label="",style="solid", color="blue", weight=3]; 734[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];172 -> 734[label="",style="solid", color="blue", weight=9]; 734 -> 283[label="",style="solid", color="blue", weight=3]; 735[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];172 -> 735[label="",style="solid", color="blue", weight=9]; 735 -> 284[label="",style="solid", color="blue", weight=3]; 736[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];172 -> 736[label="",style="solid", color="blue", weight=9]; 736 -> 285[label="",style="solid", color="blue", weight=3]; 737[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];172 -> 737[label="",style="solid", color="blue", weight=9]; 737 -> 286[label="",style="solid", color="blue", weight=3]; 738[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];172 -> 738[label="",style="solid", color="blue", weight=9]; 738 -> 287[label="",style="solid", color="blue", weight=3]; 739[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];172 -> 739[label="",style="solid", color="blue", weight=9]; 739 -> 288[label="",style="solid", color="blue", weight=3]; 740[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];172 -> 740[label="",style="solid", color="blue", weight=9]; 740 -> 289[label="",style="solid", color="blue", weight=3]; 741[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];172 -> 741[label="",style="solid", color="blue", weight=9]; 741 -> 290[label="",style="solid", color="blue", weight=3]; 173 -> 19[label="",style="dashed", color="red", weight=0]; 173[label="xv301 == xv401 && xv302 == xv402",fontsize=16,color="magenta"];173 -> 291[label="",style="dashed", color="magenta", weight=3]; 173 -> 292[label="",style="dashed", color="magenta", weight=3]; 174 -> 35[label="",style="dashed", color="red", weight=0]; 174[label="xv300 * xv401 == xv301 * xv400",fontsize=16,color="magenta"];174 -> 293[label="",style="dashed", color="magenta", weight=3]; 174 -> 294[label="",style="dashed", color="magenta", weight=3]; 175[label="primEqNat xv300 xv400",fontsize=16,color="burlywood",shape="triangle"];742[label="xv300/Succ xv3000",fontsize=10,color="white",style="solid",shape="box"];175 -> 742[label="",style="solid", color="burlywood", weight=9]; 742 -> 295[label="",style="solid", color="burlywood", weight=3]; 743[label="xv300/Zero",fontsize=10,color="white",style="solid",shape="box"];175 -> 743[label="",style="solid", color="burlywood", weight=9]; 743 -> 296[label="",style="solid", color="burlywood", weight=3]; 176[label="xv300 == xv400",fontsize=16,color="blue",shape="box"];744[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];176 -> 744[label="",style="solid", color="blue", weight=9]; 744 -> 297[label="",style="solid", color="blue", weight=3]; 745[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];176 -> 745[label="",style="solid", color="blue", weight=9]; 745 -> 298[label="",style="solid", color="blue", weight=3]; 746[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];176 -> 746[label="",style="solid", color="blue", weight=9]; 746 -> 299[label="",style="solid", color="blue", weight=3]; 747[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];176 -> 747[label="",style="solid", color="blue", weight=9]; 747 -> 300[label="",style="solid", color="blue", weight=3]; 748[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];176 -> 748[label="",style="solid", color="blue", weight=9]; 748 -> 301[label="",style="solid", color="blue", weight=3]; 749[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];176 -> 749[label="",style="solid", color="blue", weight=9]; 749 -> 302[label="",style="solid", color="blue", weight=3]; 750[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];176 -> 750[label="",style="solid", color="blue", weight=9]; 750 -> 303[label="",style="solid", color="blue", weight=3]; 751[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];176 -> 751[label="",style="solid", color="blue", weight=9]; 751 -> 304[label="",style="solid", color="blue", weight=3]; 752[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];176 -> 752[label="",style="solid", color="blue", weight=9]; 752 -> 305[label="",style="solid", color="blue", weight=3]; 753[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];176 -> 753[label="",style="solid", color="blue", weight=9]; 753 -> 306[label="",style="solid", color="blue", weight=3]; 754[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];176 -> 754[label="",style="solid", color="blue", weight=9]; 754 -> 307[label="",style="solid", color="blue", weight=3]; 755[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];176 -> 755[label="",style="solid", color="blue", weight=9]; 755 -> 308[label="",style="solid", color="blue", weight=3]; 756[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];176 -> 756[label="",style="solid", color="blue", weight=9]; 756 -> 309[label="",style="solid", color="blue", weight=3]; 757[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];176 -> 757[label="",style="solid", color="blue", weight=9]; 757 -> 310[label="",style="solid", color="blue", weight=3]; 177[label="xv301 == xv401",fontsize=16,color="blue",shape="box"];758[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];177 -> 758[label="",style="solid", color="blue", weight=9]; 758 -> 311[label="",style="solid", color="blue", weight=3]; 759[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];177 -> 759[label="",style="solid", color="blue", weight=9]; 759 -> 312[label="",style="solid", color="blue", weight=3]; 760[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];177 -> 760[label="",style="solid", color="blue", weight=9]; 760 -> 313[label="",style="solid", color="blue", weight=3]; 761[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];177 -> 761[label="",style="solid", color="blue", weight=9]; 761 -> 314[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"];177 -> 762[label="",style="solid", color="blue", weight=9]; 762 -> 315[label="",style="solid", color="blue", weight=3]; 763[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];177 -> 763[label="",style="solid", color="blue", weight=9]; 763 -> 316[label="",style="solid", color="blue", weight=3]; 764[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];177 -> 764[label="",style="solid", color="blue", weight=9]; 764 -> 317[label="",style="solid", color="blue", weight=3]; 765[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];177 -> 765[label="",style="solid", color="blue", weight=9]; 765 -> 318[label="",style="solid", color="blue", weight=3]; 766[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];177 -> 766[label="",style="solid", color="blue", weight=9]; 766 -> 319[label="",style="solid", color="blue", weight=3]; 767[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];177 -> 767[label="",style="solid", color="blue", weight=9]; 767 -> 320[label="",style="solid", color="blue", weight=3]; 768[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];177 -> 768[label="",style="solid", color="blue", weight=9]; 768 -> 321[label="",style="solid", color="blue", weight=3]; 769[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];177 -> 769[label="",style="solid", color="blue", weight=9]; 769 -> 322[label="",style="solid", color="blue", weight=3]; 770[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];177 -> 770[label="",style="solid", color="blue", weight=9]; 770 -> 323[label="",style="solid", color="blue", weight=3]; 771[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];177 -> 771[label="",style="solid", color="blue", weight=9]; 771 -> 324[label="",style="solid", color="blue", weight=3]; 178[label="xv300",fontsize=16,color="green",shape="box"];179[label="xv400",fontsize=16,color="green",shape="box"];180[label="primEqInt (Pos (Succ xv3000)) (Pos xv400)",fontsize=16,color="burlywood",shape="box"];772[label="xv400/Succ xv4000",fontsize=10,color="white",style="solid",shape="box"];180 -> 772[label="",style="solid", color="burlywood", weight=9]; 772 -> 325[label="",style="solid", color="burlywood", weight=3]; 773[label="xv400/Zero",fontsize=10,color="white",style="solid",shape="box"];180 -> 773[label="",style="solid", color="burlywood", weight=9]; 773 -> 326[label="",style="solid", color="burlywood", weight=3]; 181[label="primEqInt (Pos (Succ xv3000)) (Neg xv400)",fontsize=16,color="black",shape="box"];181 -> 327[label="",style="solid", color="black", weight=3]; 182[label="primEqInt (Pos Zero) (Pos xv400)",fontsize=16,color="burlywood",shape="box"];774[label="xv400/Succ xv4000",fontsize=10,color="white",style="solid",shape="box"];182 -> 774[label="",style="solid", color="burlywood", weight=9]; 774 -> 328[label="",style="solid", color="burlywood", weight=3]; 775[label="xv400/Zero",fontsize=10,color="white",style="solid",shape="box"];182 -> 775[label="",style="solid", color="burlywood", weight=9]; 775 -> 329[label="",style="solid", color="burlywood", weight=3]; 183[label="primEqInt (Pos Zero) (Neg xv400)",fontsize=16,color="burlywood",shape="box"];776[label="xv400/Succ xv4000",fontsize=10,color="white",style="solid",shape="box"];183 -> 776[label="",style="solid", color="burlywood", weight=9]; 776 -> 330[label="",style="solid", color="burlywood", weight=3]; 777[label="xv400/Zero",fontsize=10,color="white",style="solid",shape="box"];183 -> 777[label="",style="solid", color="burlywood", weight=9]; 777 -> 331[label="",style="solid", color="burlywood", weight=3]; 184[label="primEqInt (Neg (Succ xv3000)) (Pos xv400)",fontsize=16,color="black",shape="box"];184 -> 332[label="",style="solid", color="black", weight=3]; 185[label="primEqInt (Neg (Succ xv3000)) (Neg xv400)",fontsize=16,color="burlywood",shape="box"];778[label="xv400/Succ xv4000",fontsize=10,color="white",style="solid",shape="box"];185 -> 778[label="",style="solid", color="burlywood", weight=9]; 778 -> 333[label="",style="solid", color="burlywood", weight=3]; 779[label="xv400/Zero",fontsize=10,color="white",style="solid",shape="box"];185 -> 779[label="",style="solid", color="burlywood", weight=9]; 779 -> 334[label="",style="solid", color="burlywood", weight=3]; 186[label="primEqInt (Neg Zero) (Pos xv400)",fontsize=16,color="burlywood",shape="box"];780[label="xv400/Succ xv4000",fontsize=10,color="white",style="solid",shape="box"];186 -> 780[label="",style="solid", color="burlywood", weight=9]; 780 -> 335[label="",style="solid", color="burlywood", weight=3]; 781[label="xv400/Zero",fontsize=10,color="white",style="solid",shape="box"];186 -> 781[label="",style="solid", color="burlywood", weight=9]; 781 -> 336[label="",style="solid", color="burlywood", weight=3]; 187[label="primEqInt (Neg Zero) (Neg xv400)",fontsize=16,color="burlywood",shape="box"];782[label="xv400/Succ xv4000",fontsize=10,color="white",style="solid",shape="box"];187 -> 782[label="",style="solid", color="burlywood", weight=9]; 782 -> 337[label="",style="solid", color="burlywood", weight=3]; 783[label="xv400/Zero",fontsize=10,color="white",style="solid",shape="box"];187 -> 783[label="",style="solid", color="burlywood", weight=9]; 783 -> 338[label="",style="solid", color="burlywood", weight=3]; 188 -> 35[label="",style="dashed", color="red", weight=0]; 188[label="xv300 * xv401 == xv301 * xv400",fontsize=16,color="magenta"];188 -> 339[label="",style="dashed", color="magenta", weight=3]; 188 -> 340[label="",style="dashed", color="magenta", weight=3]; 189[label="xv300",fontsize=16,color="green",shape="box"];190[label="xv400",fontsize=16,color="green",shape="box"];191[label="xv300",fontsize=16,color="green",shape="box"];192[label="xv400",fontsize=16,color="green",shape="box"];193[label="xv300",fontsize=16,color="green",shape="box"];194[label="xv400",fontsize=16,color="green",shape="box"];195[label="xv300",fontsize=16,color="green",shape="box"];196[label="xv400",fontsize=16,color="green",shape="box"];197[label="xv300",fontsize=16,color="green",shape="box"];198[label="xv400",fontsize=16,color="green",shape="box"];199[label="xv300",fontsize=16,color="green",shape="box"];200[label="xv400",fontsize=16,color="green",shape="box"];201[label="xv300",fontsize=16,color="green",shape="box"];202[label="xv400",fontsize=16,color="green",shape="box"];203[label="xv300",fontsize=16,color="green",shape="box"];204[label="xv400",fontsize=16,color="green",shape="box"];205[label="xv300",fontsize=16,color="green",shape="box"];206[label="xv400",fontsize=16,color="green",shape="box"];207[label="xv300",fontsize=16,color="green",shape="box"];208[label="xv400",fontsize=16,color="green",shape="box"];209[label="xv300",fontsize=16,color="green",shape="box"];210[label="xv400",fontsize=16,color="green",shape="box"];211[label="xv300",fontsize=16,color="green",shape="box"];212[label="xv400",fontsize=16,color="green",shape="box"];213[label="xv300",fontsize=16,color="green",shape="box"];214[label="xv400",fontsize=16,color="green",shape="box"];215[label="xv300",fontsize=16,color="green",shape="box"];216[label="xv400",fontsize=16,color="green",shape="box"];217 -> 34[label="",style="dashed", color="red", weight=0]; 217[label="xv300 == xv400",fontsize=16,color="magenta"];217 -> 341[label="",style="dashed", color="magenta", weight=3]; 217 -> 342[label="",style="dashed", color="magenta", weight=3]; 218 -> 35[label="",style="dashed", color="red", weight=0]; 218[label="xv300 == xv400",fontsize=16,color="magenta"];218 -> 343[label="",style="dashed", color="magenta", weight=3]; 218 -> 344[label="",style="dashed", color="magenta", weight=3]; 219 -> 34[label="",style="dashed", color="red", weight=0]; 219[label="xv301 == xv401",fontsize=16,color="magenta"];219 -> 345[label="",style="dashed", color="magenta", weight=3]; 219 -> 346[label="",style="dashed", color="magenta", weight=3]; 220 -> 35[label="",style="dashed", color="red", weight=0]; 220[label="xv301 == xv401",fontsize=16,color="magenta"];220 -> 347[label="",style="dashed", color="magenta", weight=3]; 220 -> 348[label="",style="dashed", color="magenta", weight=3]; 221[label="xv300",fontsize=16,color="green",shape="box"];222[label="xv400",fontsize=16,color="green",shape="box"];223[label="xv300",fontsize=16,color="green",shape="box"];224[label="xv400",fontsize=16,color="green",shape="box"];225[label="xv300",fontsize=16,color="green",shape="box"];226[label="xv400",fontsize=16,color="green",shape="box"];227[label="xv300",fontsize=16,color="green",shape="box"];228[label="xv400",fontsize=16,color="green",shape="box"];229[label="xv300",fontsize=16,color="green",shape="box"];230[label="xv400",fontsize=16,color="green",shape="box"];231[label="xv300",fontsize=16,color="green",shape="box"];232[label="xv400",fontsize=16,color="green",shape="box"];233[label="xv300",fontsize=16,color="green",shape="box"];234[label="xv400",fontsize=16,color="green",shape="box"];235[label="xv300",fontsize=16,color="green",shape="box"];236[label="xv400",fontsize=16,color="green",shape="box"];237[label="xv300",fontsize=16,color="green",shape="box"];238[label="xv400",fontsize=16,color="green",shape="box"];239[label="xv300",fontsize=16,color="green",shape="box"];240[label="xv400",fontsize=16,color="green",shape="box"];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="xv300",fontsize=16,color="green",shape="box"];266[label="xv400",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 -> 24[label="",style="dashed", color="red", weight=0]; 277[label="xv300 == xv400",fontsize=16,color="magenta"];277 -> 349[label="",style="dashed", color="magenta", weight=3]; 277 -> 350[label="",style="dashed", color="magenta", weight=3]; 278 -> 25[label="",style="dashed", color="red", weight=0]; 278[label="xv300 == xv400",fontsize=16,color="magenta"];278 -> 351[label="",style="dashed", color="magenta", weight=3]; 278 -> 352[label="",style="dashed", color="magenta", weight=3]; 279 -> 26[label="",style="dashed", color="red", weight=0]; 279[label="xv300 == xv400",fontsize=16,color="magenta"];279 -> 353[label="",style="dashed", color="magenta", weight=3]; 279 -> 354[label="",style="dashed", color="magenta", weight=3]; 280 -> 4[label="",style="dashed", color="red", weight=0]; 280[label="xv300 == xv400",fontsize=16,color="magenta"];280 -> 355[label="",style="dashed", color="magenta", weight=3]; 280 -> 356[label="",style="dashed", color="magenta", weight=3]; 281 -> 28[label="",style="dashed", color="red", weight=0]; 281[label="xv300 == xv400",fontsize=16,color="magenta"];281 -> 357[label="",style="dashed", color="magenta", weight=3]; 281 -> 358[label="",style="dashed", color="magenta", weight=3]; 282 -> 29[label="",style="dashed", color="red", weight=0]; 282[label="xv300 == xv400",fontsize=16,color="magenta"];282 -> 359[label="",style="dashed", color="magenta", weight=3]; 282 -> 360[label="",style="dashed", color="magenta", weight=3]; 283 -> 30[label="",style="dashed", color="red", weight=0]; 283[label="xv300 == xv400",fontsize=16,color="magenta"];283 -> 361[label="",style="dashed", color="magenta", weight=3]; 283 -> 362[label="",style="dashed", color="magenta", weight=3]; 284 -> 31[label="",style="dashed", color="red", weight=0]; 284[label="xv300 == xv400",fontsize=16,color="magenta"];284 -> 363[label="",style="dashed", color="magenta", weight=3]; 284 -> 364[label="",style="dashed", color="magenta", weight=3]; 285 -> 32[label="",style="dashed", color="red", weight=0]; 285[label="xv300 == xv400",fontsize=16,color="magenta"];285 -> 365[label="",style="dashed", color="magenta", weight=3]; 285 -> 366[label="",style="dashed", color="magenta", weight=3]; 286 -> 33[label="",style="dashed", color="red", weight=0]; 286[label="xv300 == xv400",fontsize=16,color="magenta"];286 -> 367[label="",style="dashed", color="magenta", weight=3]; 286 -> 368[label="",style="dashed", color="magenta", weight=3]; 287 -> 34[label="",style="dashed", color="red", weight=0]; 287[label="xv300 == xv400",fontsize=16,color="magenta"];287 -> 369[label="",style="dashed", color="magenta", weight=3]; 287 -> 370[label="",style="dashed", color="magenta", weight=3]; 288 -> 35[label="",style="dashed", color="red", weight=0]; 288[label="xv300 == xv400",fontsize=16,color="magenta"];288 -> 371[label="",style="dashed", color="magenta", weight=3]; 288 -> 372[label="",style="dashed", color="magenta", weight=3]; 289 -> 36[label="",style="dashed", color="red", weight=0]; 289[label="xv300 == xv400",fontsize=16,color="magenta"];289 -> 373[label="",style="dashed", color="magenta", weight=3]; 289 -> 374[label="",style="dashed", color="magenta", weight=3]; 290 -> 37[label="",style="dashed", color="red", weight=0]; 290[label="xv300 == xv400",fontsize=16,color="magenta"];290 -> 375[label="",style="dashed", color="magenta", weight=3]; 290 -> 376[label="",style="dashed", color="magenta", weight=3]; 291[label="xv301 == xv401",fontsize=16,color="blue",shape="box"];784[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];291 -> 784[label="",style="solid", color="blue", weight=9]; 784 -> 377[label="",style="solid", color="blue", weight=3]; 785[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];291 -> 785[label="",style="solid", color="blue", weight=9]; 785 -> 378[label="",style="solid", color="blue", weight=3]; 786[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];291 -> 786[label="",style="solid", color="blue", weight=9]; 786 -> 379[label="",style="solid", color="blue", weight=3]; 787[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];291 -> 787[label="",style="solid", color="blue", weight=9]; 787 -> 380[label="",style="solid", color="blue", weight=3]; 788[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];291 -> 788[label="",style="solid", color="blue", weight=9]; 788 -> 381[label="",style="solid", color="blue", weight=3]; 789[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];291 -> 789[label="",style="solid", color="blue", weight=9]; 789 -> 382[label="",style="solid", color="blue", weight=3]; 790[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];291 -> 790[label="",style="solid", color="blue", weight=9]; 790 -> 383[label="",style="solid", color="blue", weight=3]; 791[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];291 -> 791[label="",style="solid", color="blue", weight=9]; 791 -> 384[label="",style="solid", color="blue", weight=3]; 792[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];291 -> 792[label="",style="solid", color="blue", weight=9]; 792 -> 385[label="",style="solid", color="blue", weight=3]; 793[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];291 -> 793[label="",style="solid", color="blue", weight=9]; 793 -> 386[label="",style="solid", color="blue", weight=3]; 794[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];291 -> 794[label="",style="solid", color="blue", weight=9]; 794 -> 387[label="",style="solid", color="blue", weight=3]; 795[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];291 -> 795[label="",style="solid", color="blue", weight=9]; 795 -> 388[label="",style="solid", color="blue", weight=3]; 796[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];291 -> 796[label="",style="solid", color="blue", weight=9]; 796 -> 389[label="",style="solid", color="blue", weight=3]; 797[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];291 -> 797[label="",style="solid", color="blue", weight=9]; 797 -> 390[label="",style="solid", color="blue", weight=3]; 292[label="xv302 == xv402",fontsize=16,color="blue",shape="box"];798[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];292 -> 798[label="",style="solid", color="blue", weight=9]; 798 -> 391[label="",style="solid", color="blue", weight=3]; 799[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];292 -> 799[label="",style="solid", color="blue", weight=9]; 799 -> 392[label="",style="solid", color="blue", weight=3]; 800[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];292 -> 800[label="",style="solid", color="blue", weight=9]; 800 -> 393[label="",style="solid", color="blue", weight=3]; 801[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];292 -> 801[label="",style="solid", color="blue", weight=9]; 801 -> 394[label="",style="solid", color="blue", weight=3]; 802[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];292 -> 802[label="",style="solid", color="blue", weight=9]; 802 -> 395[label="",style="solid", color="blue", weight=3]; 803[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];292 -> 803[label="",style="solid", color="blue", weight=9]; 803 -> 396[label="",style="solid", color="blue", weight=3]; 804[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];292 -> 804[label="",style="solid", color="blue", weight=9]; 804 -> 397[label="",style="solid", color="blue", weight=3]; 805[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];292 -> 805[label="",style="solid", color="blue", weight=9]; 805 -> 398[label="",style="solid", color="blue", weight=3]; 806[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];292 -> 806[label="",style="solid", color="blue", weight=9]; 806 -> 399[label="",style="solid", color="blue", weight=3]; 807[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];292 -> 807[label="",style="solid", color="blue", weight=9]; 807 -> 400[label="",style="solid", color="blue", weight=3]; 808[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];292 -> 808[label="",style="solid", color="blue", weight=9]; 808 -> 401[label="",style="solid", color="blue", weight=3]; 809[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];292 -> 809[label="",style="solid", color="blue", weight=9]; 809 -> 402[label="",style="solid", color="blue", weight=3]; 810[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];292 -> 810[label="",style="solid", color="blue", weight=9]; 810 -> 403[label="",style="solid", color="blue", weight=3]; 811[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];292 -> 811[label="",style="solid", color="blue", weight=9]; 811 -> 404[label="",style="solid", color="blue", weight=3]; 293[label="xv300 * xv401",fontsize=16,color="black",shape="triangle"];293 -> 405[label="",style="solid", color="black", weight=3]; 294 -> 293[label="",style="dashed", color="red", weight=0]; 294[label="xv301 * xv400",fontsize=16,color="magenta"];294 -> 406[label="",style="dashed", color="magenta", weight=3]; 294 -> 407[label="",style="dashed", color="magenta", weight=3]; 295[label="primEqNat (Succ xv3000) xv400",fontsize=16,color="burlywood",shape="box"];812[label="xv400/Succ xv4000",fontsize=10,color="white",style="solid",shape="box"];295 -> 812[label="",style="solid", color="burlywood", weight=9]; 812 -> 408[label="",style="solid", color="burlywood", weight=3]; 813[label="xv400/Zero",fontsize=10,color="white",style="solid",shape="box"];295 -> 813[label="",style="solid", color="burlywood", weight=9]; 813 -> 409[label="",style="solid", color="burlywood", weight=3]; 296[label="primEqNat Zero xv400",fontsize=16,color="burlywood",shape="box"];814[label="xv400/Succ xv4000",fontsize=10,color="white",style="solid",shape="box"];296 -> 814[label="",style="solid", color="burlywood", weight=9]; 814 -> 410[label="",style="solid", color="burlywood", weight=3]; 815[label="xv400/Zero",fontsize=10,color="white",style="solid",shape="box"];296 -> 815[label="",style="solid", color="burlywood", weight=9]; 815 -> 411[label="",style="solid", color="burlywood", weight=3]; 297 -> 24[label="",style="dashed", color="red", weight=0]; 297[label="xv300 == xv400",fontsize=16,color="magenta"];297 -> 412[label="",style="dashed", color="magenta", weight=3]; 297 -> 413[label="",style="dashed", color="magenta", weight=3]; 298 -> 25[label="",style="dashed", color="red", weight=0]; 298[label="xv300 == xv400",fontsize=16,color="magenta"];298 -> 414[label="",style="dashed", color="magenta", weight=3]; 298 -> 415[label="",style="dashed", color="magenta", weight=3]; 299 -> 26[label="",style="dashed", color="red", weight=0]; 299[label="xv300 == xv400",fontsize=16,color="magenta"];299 -> 416[label="",style="dashed", color="magenta", weight=3]; 299 -> 417[label="",style="dashed", color="magenta", weight=3]; 300 -> 4[label="",style="dashed", color="red", weight=0]; 300[label="xv300 == xv400",fontsize=16,color="magenta"];300 -> 418[label="",style="dashed", color="magenta", weight=3]; 300 -> 419[label="",style="dashed", color="magenta", weight=3]; 301 -> 28[label="",style="dashed", color="red", weight=0]; 301[label="xv300 == xv400",fontsize=16,color="magenta"];301 -> 420[label="",style="dashed", color="magenta", weight=3]; 301 -> 421[label="",style="dashed", color="magenta", weight=3]; 302 -> 29[label="",style="dashed", color="red", weight=0]; 302[label="xv300 == xv400",fontsize=16,color="magenta"];302 -> 422[label="",style="dashed", color="magenta", weight=3]; 302 -> 423[label="",style="dashed", color="magenta", weight=3]; 303 -> 30[label="",style="dashed", color="red", weight=0]; 303[label="xv300 == xv400",fontsize=16,color="magenta"];303 -> 424[label="",style="dashed", color="magenta", weight=3]; 303 -> 425[label="",style="dashed", color="magenta", weight=3]; 304 -> 31[label="",style="dashed", color="red", weight=0]; 304[label="xv300 == xv400",fontsize=16,color="magenta"];304 -> 426[label="",style="dashed", color="magenta", weight=3]; 304 -> 427[label="",style="dashed", color="magenta", weight=3]; 305 -> 32[label="",style="dashed", color="red", weight=0]; 305[label="xv300 == xv400",fontsize=16,color="magenta"];305 -> 428[label="",style="dashed", color="magenta", weight=3]; 305 -> 429[label="",style="dashed", color="magenta", weight=3]; 306 -> 33[label="",style="dashed", color="red", weight=0]; 306[label="xv300 == xv400",fontsize=16,color="magenta"];306 -> 430[label="",style="dashed", color="magenta", weight=3]; 306 -> 431[label="",style="dashed", color="magenta", weight=3]; 307 -> 34[label="",style="dashed", color="red", weight=0]; 307[label="xv300 == xv400",fontsize=16,color="magenta"];307 -> 432[label="",style="dashed", color="magenta", weight=3]; 307 -> 433[label="",style="dashed", color="magenta", weight=3]; 308 -> 35[label="",style="dashed", color="red", weight=0]; 308[label="xv300 == xv400",fontsize=16,color="magenta"];308 -> 434[label="",style="dashed", color="magenta", weight=3]; 308 -> 435[label="",style="dashed", color="magenta", weight=3]; 309 -> 36[label="",style="dashed", color="red", weight=0]; 309[label="xv300 == xv400",fontsize=16,color="magenta"];309 -> 436[label="",style="dashed", color="magenta", weight=3]; 309 -> 437[label="",style="dashed", color="magenta", weight=3]; 310 -> 37[label="",style="dashed", color="red", weight=0]; 310[label="xv300 == xv400",fontsize=16,color="magenta"];310 -> 438[label="",style="dashed", color="magenta", weight=3]; 310 -> 439[label="",style="dashed", color="magenta", weight=3]; 311 -> 24[label="",style="dashed", color="red", weight=0]; 311[label="xv301 == xv401",fontsize=16,color="magenta"];311 -> 440[label="",style="dashed", color="magenta", weight=3]; 311 -> 441[label="",style="dashed", color="magenta", weight=3]; 312 -> 25[label="",style="dashed", color="red", weight=0]; 312[label="xv301 == xv401",fontsize=16,color="magenta"];312 -> 442[label="",style="dashed", color="magenta", weight=3]; 312 -> 443[label="",style="dashed", color="magenta", weight=3]; 313 -> 26[label="",style="dashed", color="red", weight=0]; 313[label="xv301 == xv401",fontsize=16,color="magenta"];313 -> 444[label="",style="dashed", color="magenta", weight=3]; 313 -> 445[label="",style="dashed", color="magenta", weight=3]; 314 -> 4[label="",style="dashed", color="red", weight=0]; 314[label="xv301 == xv401",fontsize=16,color="magenta"];314 -> 446[label="",style="dashed", color="magenta", weight=3]; 314 -> 447[label="",style="dashed", color="magenta", weight=3]; 315 -> 28[label="",style="dashed", color="red", weight=0]; 315[label="xv301 == xv401",fontsize=16,color="magenta"];315 -> 448[label="",style="dashed", color="magenta", weight=3]; 315 -> 449[label="",style="dashed", color="magenta", weight=3]; 316 -> 29[label="",style="dashed", color="red", weight=0]; 316[label="xv301 == xv401",fontsize=16,color="magenta"];316 -> 450[label="",style="dashed", color="magenta", weight=3]; 316 -> 451[label="",style="dashed", color="magenta", weight=3]; 317 -> 30[label="",style="dashed", color="red", weight=0]; 317[label="xv301 == xv401",fontsize=16,color="magenta"];317 -> 452[label="",style="dashed", color="magenta", weight=3]; 317 -> 453[label="",style="dashed", color="magenta", weight=3]; 318 -> 31[label="",style="dashed", color="red", weight=0]; 318[label="xv301 == xv401",fontsize=16,color="magenta"];318 -> 454[label="",style="dashed", color="magenta", weight=3]; 318 -> 455[label="",style="dashed", color="magenta", weight=3]; 319 -> 32[label="",style="dashed", color="red", weight=0]; 319[label="xv301 == xv401",fontsize=16,color="magenta"];319 -> 456[label="",style="dashed", color="magenta", weight=3]; 319 -> 457[label="",style="dashed", color="magenta", weight=3]; 320 -> 33[label="",style="dashed", color="red", weight=0]; 320[label="xv301 == xv401",fontsize=16,color="magenta"];320 -> 458[label="",style="dashed", color="magenta", weight=3]; 320 -> 459[label="",style="dashed", color="magenta", weight=3]; 321 -> 34[label="",style="dashed", color="red", weight=0]; 321[label="xv301 == xv401",fontsize=16,color="magenta"];321 -> 460[label="",style="dashed", color="magenta", weight=3]; 321 -> 461[label="",style="dashed", color="magenta", weight=3]; 322 -> 35[label="",style="dashed", color="red", weight=0]; 322[label="xv301 == xv401",fontsize=16,color="magenta"];322 -> 462[label="",style="dashed", color="magenta", weight=3]; 322 -> 463[label="",style="dashed", color="magenta", weight=3]; 323 -> 36[label="",style="dashed", color="red", weight=0]; 323[label="xv301 == xv401",fontsize=16,color="magenta"];323 -> 464[label="",style="dashed", color="magenta", weight=3]; 323 -> 465[label="",style="dashed", color="magenta", weight=3]; 324 -> 37[label="",style="dashed", color="red", weight=0]; 324[label="xv301 == xv401",fontsize=16,color="magenta"];324 -> 466[label="",style="dashed", color="magenta", weight=3]; 324 -> 467[label="",style="dashed", color="magenta", weight=3]; 325[label="primEqInt (Pos (Succ xv3000)) (Pos (Succ xv4000))",fontsize=16,color="black",shape="box"];325 -> 468[label="",style="solid", color="black", weight=3]; 326[label="primEqInt (Pos (Succ xv3000)) (Pos Zero)",fontsize=16,color="black",shape="box"];326 -> 469[label="",style="solid", color="black", weight=3]; 327[label="False",fontsize=16,color="green",shape="box"];328[label="primEqInt (Pos Zero) (Pos (Succ xv4000))",fontsize=16,color="black",shape="box"];328 -> 470[label="",style="solid", color="black", weight=3]; 329[label="primEqInt (Pos Zero) (Pos Zero)",fontsize=16,color="black",shape="box"];329 -> 471[label="",style="solid", color="black", weight=3]; 330[label="primEqInt (Pos Zero) (Neg (Succ xv4000))",fontsize=16,color="black",shape="box"];330 -> 472[label="",style="solid", color="black", weight=3]; 331[label="primEqInt (Pos Zero) (Neg Zero)",fontsize=16,color="black",shape="box"];331 -> 473[label="",style="solid", color="black", weight=3]; 332[label="False",fontsize=16,color="green",shape="box"];333[label="primEqInt (Neg (Succ xv3000)) (Neg (Succ xv4000))",fontsize=16,color="black",shape="box"];333 -> 474[label="",style="solid", color="black", weight=3]; 334[label="primEqInt (Neg (Succ xv3000)) (Neg Zero)",fontsize=16,color="black",shape="box"];334 -> 475[label="",style="solid", color="black", weight=3]; 335[label="primEqInt (Neg Zero) (Pos (Succ xv4000))",fontsize=16,color="black",shape="box"];335 -> 476[label="",style="solid", color="black", weight=3]; 336[label="primEqInt (Neg Zero) (Pos Zero)",fontsize=16,color="black",shape="box"];336 -> 477[label="",style="solid", color="black", weight=3]; 337[label="primEqInt (Neg Zero) (Neg (Succ xv4000))",fontsize=16,color="black",shape="box"];337 -> 478[label="",style="solid", color="black", weight=3]; 338[label="primEqInt (Neg Zero) (Neg Zero)",fontsize=16,color="black",shape="box"];338 -> 479[label="",style="solid", color="black", weight=3]; 339 -> 293[label="",style="dashed", color="red", weight=0]; 339[label="xv300 * xv401",fontsize=16,color="magenta"];339 -> 480[label="",style="dashed", color="magenta", weight=3]; 339 -> 481[label="",style="dashed", color="magenta", weight=3]; 340 -> 293[label="",style="dashed", color="red", weight=0]; 340[label="xv301 * xv400",fontsize=16,color="magenta"];340 -> 482[label="",style="dashed", color="magenta", weight=3]; 340 -> 483[label="",style="dashed", color="magenta", weight=3]; 341[label="xv300",fontsize=16,color="green",shape="box"];342[label="xv400",fontsize=16,color="green",shape="box"];343[label="xv300",fontsize=16,color="green",shape="box"];344[label="xv400",fontsize=16,color="green",shape="box"];345[label="xv301",fontsize=16,color="green",shape="box"];346[label="xv401",fontsize=16,color="green",shape="box"];347[label="xv301",fontsize=16,color="green",shape="box"];348[label="xv401",fontsize=16,color="green",shape="box"];349[label="xv300",fontsize=16,color="green",shape="box"];350[label="xv400",fontsize=16,color="green",shape="box"];351[label="xv300",fontsize=16,color="green",shape="box"];352[label="xv400",fontsize=16,color="green",shape="box"];353[label="xv300",fontsize=16,color="green",shape="box"];354[label="xv400",fontsize=16,color="green",shape="box"];355[label="xv300",fontsize=16,color="green",shape="box"];356[label="xv400",fontsize=16,color="green",shape="box"];357[label="xv300",fontsize=16,color="green",shape="box"];358[label="xv400",fontsize=16,color="green",shape="box"];359[label="xv300",fontsize=16,color="green",shape="box"];360[label="xv400",fontsize=16,color="green",shape="box"];361[label="xv300",fontsize=16,color="green",shape="box"];362[label="xv400",fontsize=16,color="green",shape="box"];363[label="xv300",fontsize=16,color="green",shape="box"];364[label="xv400",fontsize=16,color="green",shape="box"];365[label="xv300",fontsize=16,color="green",shape="box"];366[label="xv400",fontsize=16,color="green",shape="box"];367[label="xv300",fontsize=16,color="green",shape="box"];368[label="xv400",fontsize=16,color="green",shape="box"];369[label="xv300",fontsize=16,color="green",shape="box"];370[label="xv400",fontsize=16,color="green",shape="box"];371[label="xv300",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="xv400",fontsize=16,color="green",shape="box"];375[label="xv300",fontsize=16,color="green",shape="box"];376[label="xv400",fontsize=16,color="green",shape="box"];377 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28[label="",style="dashed", color="red", weight=0]; 381[label="xv301 == xv401",fontsize=16,color="magenta"];381 -> 492[label="",style="dashed", color="magenta", weight=3]; 381 -> 493[label="",style="dashed", color="magenta", weight=3]; 382 -> 29[label="",style="dashed", color="red", weight=0]; 382[label="xv301 == xv401",fontsize=16,color="magenta"];382 -> 494[label="",style="dashed", color="magenta", weight=3]; 382 -> 495[label="",style="dashed", color="magenta", weight=3]; 383 -> 30[label="",style="dashed", color="red", weight=0]; 383[label="xv301 == xv401",fontsize=16,color="magenta"];383 -> 496[label="",style="dashed", color="magenta", weight=3]; 383 -> 497[label="",style="dashed", color="magenta", weight=3]; 384 -> 31[label="",style="dashed", color="red", weight=0]; 384[label="xv301 == xv401",fontsize=16,color="magenta"];384 -> 498[label="",style="dashed", color="magenta", weight=3]; 384 -> 499[label="",style="dashed", color="magenta", weight=3]; 385 -> 32[label="",style="dashed", color="red", weight=0]; 385[label="xv301 == xv401",fontsize=16,color="magenta"];385 -> 500[label="",style="dashed", color="magenta", weight=3]; 385 -> 501[label="",style="dashed", color="magenta", weight=3]; 386 -> 33[label="",style="dashed", color="red", weight=0]; 386[label="xv301 == xv401",fontsize=16,color="magenta"];386 -> 502[label="",style="dashed", color="magenta", weight=3]; 386 -> 503[label="",style="dashed", color="magenta", weight=3]; 387 -> 34[label="",style="dashed", color="red", weight=0]; 387[label="xv301 == xv401",fontsize=16,color="magenta"];387 -> 504[label="",style="dashed", color="magenta", weight=3]; 387 -> 505[label="",style="dashed", color="magenta", weight=3]; 388 -> 35[label="",style="dashed", color="red", weight=0]; 388[label="xv301 == xv401",fontsize=16,color="magenta"];388 -> 506[label="",style="dashed", color="magenta", weight=3]; 388 -> 507[label="",style="dashed", color="magenta", weight=3]; 389 -> 36[label="",style="dashed", color="red", weight=0]; 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xv402",fontsize=16,color="magenta"];393 -> 516[label="",style="dashed", color="magenta", weight=3]; 393 -> 517[label="",style="dashed", color="magenta", weight=3]; 394 -> 4[label="",style="dashed", color="red", weight=0]; 394[label="xv302 == xv402",fontsize=16,color="magenta"];394 -> 518[label="",style="dashed", color="magenta", weight=3]; 394 -> 519[label="",style="dashed", color="magenta", weight=3]; 395 -> 28[label="",style="dashed", color="red", weight=0]; 395[label="xv302 == xv402",fontsize=16,color="magenta"];395 -> 520[label="",style="dashed", color="magenta", weight=3]; 395 -> 521[label="",style="dashed", color="magenta", weight=3]; 396 -> 29[label="",style="dashed", color="red", weight=0]; 396[label="xv302 == xv402",fontsize=16,color="magenta"];396 -> 522[label="",style="dashed", color="magenta", weight=3]; 396 -> 523[label="",style="dashed", color="magenta", weight=3]; 397 -> 30[label="",style="dashed", color="red", weight=0]; 397[label="xv302 == xv402",fontsize=16,color="magenta"];397 -> 524[label="",style="dashed", color="magenta", weight=3]; 397 -> 525[label="",style="dashed", color="magenta", weight=3]; 398 -> 31[label="",style="dashed", color="red", weight=0]; 398[label="xv302 == xv402",fontsize=16,color="magenta"];398 -> 526[label="",style="dashed", color="magenta", weight=3]; 398 -> 527[label="",style="dashed", color="magenta", weight=3]; 399 -> 32[label="",style="dashed", color="red", weight=0]; 399[label="xv302 == xv402",fontsize=16,color="magenta"];399 -> 528[label="",style="dashed", color="magenta", weight=3]; 399 -> 529[label="",style="dashed", color="magenta", weight=3]; 400 -> 33[label="",style="dashed", color="red", weight=0]; 400[label="xv302 == xv402",fontsize=16,color="magenta"];400 -> 530[label="",style="dashed", color="magenta", weight=3]; 400 -> 531[label="",style="dashed", color="magenta", weight=3]; 401 -> 34[label="",style="dashed", color="red", weight=0]; 401[label="xv302 == xv402",fontsize=16,color="magenta"];401 -> 532[label="",style="dashed", color="magenta", weight=3]; 401 -> 533[label="",style="dashed", color="magenta", weight=3]; 402 -> 35[label="",style="dashed", color="red", weight=0]; 402[label="xv302 == xv402",fontsize=16,color="magenta"];402 -> 534[label="",style="dashed", color="magenta", weight=3]; 402 -> 535[label="",style="dashed", color="magenta", weight=3]; 403 -> 36[label="",style="dashed", color="red", weight=0]; 403[label="xv302 == xv402",fontsize=16,color="magenta"];403 -> 536[label="",style="dashed", color="magenta", weight=3]; 403 -> 537[label="",style="dashed", color="magenta", weight=3]; 404 -> 37[label="",style="dashed", color="red", weight=0]; 404[label="xv302 == xv402",fontsize=16,color="magenta"];404 -> 538[label="",style="dashed", color="magenta", weight=3]; 404 -> 539[label="",style="dashed", color="magenta", weight=3]; 405[label="primMulInt xv300 xv401",fontsize=16,color="burlywood",shape="box"];816[label="xv300/Pos xv3000",fontsize=10,color="white",style="solid",shape="box"];405 -> 816[label="",style="solid", color="burlywood", weight=9]; 816 -> 540[label="",style="solid", color="burlywood", weight=3]; 817[label="xv300/Neg xv3000",fontsize=10,color="white",style="solid",shape="box"];405 -> 817[label="",style="solid", color="burlywood", weight=9]; 817 -> 541[label="",style="solid", color="burlywood", weight=3]; 406[label="xv400",fontsize=16,color="green",shape="box"];407[label="xv301",fontsize=16,color="green",shape="box"];408[label="primEqNat (Succ xv3000) (Succ xv4000)",fontsize=16,color="black",shape="box"];408 -> 542[label="",style="solid", color="black", weight=3]; 409[label="primEqNat (Succ xv3000) Zero",fontsize=16,color="black",shape="box"];409 -> 543[label="",style="solid", color="black", weight=3]; 410[label="primEqNat Zero (Succ xv4000)",fontsize=16,color="black",shape="box"];410 -> 544[label="",style="solid", color="black", weight=3]; 411[label="primEqNat Zero Zero",fontsize=16,color="black",shape="box"];411 -> 545[label="",style="solid", color="black", weight=3]; 412[label="xv300",fontsize=16,color="green",shape="box"];413[label="xv400",fontsize=16,color="green",shape="box"];414[label="xv300",fontsize=16,color="green",shape="box"];415[label="xv400",fontsize=16,color="green",shape="box"];416[label="xv300",fontsize=16,color="green",shape="box"];417[label="xv400",fontsize=16,color="green",shape="box"];418[label="xv300",fontsize=16,color="green",shape="box"];419[label="xv400",fontsize=16,color="green",shape="box"];420[label="xv300",fontsize=16,color="green",shape="box"];421[label="xv400",fontsize=16,color="green",shape="box"];422[label="xv300",fontsize=16,color="green",shape="box"];423[label="xv400",fontsize=16,color="green",shape="box"];424[label="xv300",fontsize=16,color="green",shape="box"];425[label="xv400",fontsize=16,color="green",shape="box"];426[label="xv300",fontsize=16,color="green",shape="box"];427[label="xv400",fontsize=16,color="green",shape="box"];428[label="xv300",fontsize=16,color="green",shape="box"];429[label="xv400",fontsize=16,color="green",shape="box"];430[label="xv300",fontsize=16,color="green",shape="box"];431[label="xv400",fontsize=16,color="green",shape="box"];432[label="xv300",fontsize=16,color="green",shape="box"];433[label="xv400",fontsize=16,color="green",shape="box"];434[label="xv300",fontsize=16,color="green",shape="box"];435[label="xv400",fontsize=16,color="green",shape="box"];436[label="xv300",fontsize=16,color="green",shape="box"];437[label="xv400",fontsize=16,color="green",shape="box"];438[label="xv300",fontsize=16,color="green",shape="box"];439[label="xv400",fontsize=16,color="green",shape="box"];440[label="xv301",fontsize=16,color="green",shape="box"];441[label="xv401",fontsize=16,color="green",shape="box"];442[label="xv301",fontsize=16,color="green",shape="box"];443[label="xv401",fontsize=16,color="green",shape="box"];444[label="xv301",fontsize=16,color="green",shape="box"];445[label="xv401",fontsize=16,color="green",shape="box"];446[label="xv301",fontsize=16,color="green",shape="box"];447[label="xv401",fontsize=16,color="green",shape="box"];448[label="xv301",fontsize=16,color="green",shape="box"];449[label="xv401",fontsize=16,color="green",shape="box"];450[label="xv301",fontsize=16,color="green",shape="box"];451[label="xv401",fontsize=16,color="green",shape="box"];452[label="xv301",fontsize=16,color="green",shape="box"];453[label="xv401",fontsize=16,color="green",shape="box"];454[label="xv301",fontsize=16,color="green",shape="box"];455[label="xv401",fontsize=16,color="green",shape="box"];456[label="xv301",fontsize=16,color="green",shape="box"];457[label="xv401",fontsize=16,color="green",shape="box"];458[label="xv301",fontsize=16,color="green",shape="box"];459[label="xv401",fontsize=16,color="green",shape="box"];460[label="xv301",fontsize=16,color="green",shape="box"];461[label="xv401",fontsize=16,color="green",shape="box"];462[label="xv301",fontsize=16,color="green",shape="box"];463[label="xv401",fontsize=16,color="green",shape="box"];464[label="xv301",fontsize=16,color="green",shape="box"];465[label="xv401",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 -> 175[label="",style="dashed", color="red", weight=0]; 468[label="primEqNat xv3000 xv4000",fontsize=16,color="magenta"];468 -> 546[label="",style="dashed", color="magenta", weight=3]; 468 -> 547[label="",style="dashed", color="magenta", weight=3]; 469[label="False",fontsize=16,color="green",shape="box"];470[label="False",fontsize=16,color="green",shape="box"];471[label="True",fontsize=16,color="green",shape="box"];472[label="False",fontsize=16,color="green",shape="box"];473[label="True",fontsize=16,color="green",shape="box"];474 -> 175[label="",style="dashed", color="red", weight=0]; 474[label="primEqNat xv3000 xv4000",fontsize=16,color="magenta"];474 -> 548[label="",style="dashed", color="magenta", weight=3]; 474 -> 549[label="",style="dashed", color="magenta", weight=3]; 475[label="False",fontsize=16,color="green",shape="box"];476[label="False",fontsize=16,color="green",shape="box"];477[label="True",fontsize=16,color="green",shape="box"];478[label="False",fontsize=16,color="green",shape="box"];479[label="True",fontsize=16,color="green",shape="box"];480[label="xv401",fontsize=16,color="green",shape="box"];481[label="xv300",fontsize=16,color="green",shape="box"];482[label="xv400",fontsize=16,color="green",shape="box"];483[label="xv301",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="xv301",fontsize=16,color="green",shape="box"];491[label="xv401",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="xv301",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="xv401",fontsize=16,color="green",shape="box"];498[label="xv301",fontsize=16,color="green",shape="box"];499[label="xv401",fontsize=16,color="green",shape="box"];500[label="xv301",fontsize=16,color="green",shape="box"];501[label="xv401",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[label="xv301",fontsize=16,color="green",shape="box"];507[label="xv401",fontsize=16,color="green",shape="box"];508[label="xv301",fontsize=16,color="green",shape="box"];509[label="xv401",fontsize=16,color="green",shape="box"];510[label="xv301",fontsize=16,color="green",shape="box"];511[label="xv401",fontsize=16,color="green",shape="box"];512[label="xv302",fontsize=16,color="green",shape="box"];513[label="xv402",fontsize=16,color="green",shape="box"];514[label="xv302",fontsize=16,color="green",shape="box"];515[label="xv402",fontsize=16,color="green",shape="box"];516[label="xv302",fontsize=16,color="green",shape="box"];517[label="xv402",fontsize=16,color="green",shape="box"];518[label="xv302",fontsize=16,color="green",shape="box"];519[label="xv402",fontsize=16,color="green",shape="box"];520[label="xv302",fontsize=16,color="green",shape="box"];521[label="xv402",fontsize=16,color="green",shape="box"];522[label="xv302",fontsize=16,color="green",shape="box"];523[label="xv402",fontsize=16,color="green",shape="box"];524[label="xv302",fontsize=16,color="green",shape="box"];525[label="xv402",fontsize=16,color="green",shape="box"];526[label="xv302",fontsize=16,color="green",shape="box"];527[label="xv402",fontsize=16,color="green",shape="box"];528[label="xv302",fontsize=16,color="green",shape="box"];529[label="xv402",fontsize=16,color="green",shape="box"];530[label="xv302",fontsize=16,color="green",shape="box"];531[label="xv402",fontsize=16,color="green",shape="box"];532[label="xv302",fontsize=16,color="green",shape="box"];533[label="xv402",fontsize=16,color="green",shape="box"];534[label="xv302",fontsize=16,color="green",shape="box"];535[label="xv402",fontsize=16,color="green",shape="box"];536[label="xv302",fontsize=16,color="green",shape="box"];537[label="xv402",fontsize=16,color="green",shape="box"];538[label="xv302",fontsize=16,color="green",shape="box"];539[label="xv402",fontsize=16,color="green",shape="box"];540[label="primMulInt (Pos xv3000) xv401",fontsize=16,color="burlywood",shape="box"];818[label="xv401/Pos xv4010",fontsize=10,color="white",style="solid",shape="box"];540 -> 818[label="",style="solid", color="burlywood", weight=9]; 818 -> 550[label="",style="solid", color="burlywood", weight=3]; 819[label="xv401/Neg xv4010",fontsize=10,color="white",style="solid",shape="box"];540 -> 819[label="",style="solid", color="burlywood", weight=9]; 819 -> 551[label="",style="solid", color="burlywood", weight=3]; 541[label="primMulInt (Neg xv3000) xv401",fontsize=16,color="burlywood",shape="box"];820[label="xv401/Pos xv4010",fontsize=10,color="white",style="solid",shape="box"];541 -> 820[label="",style="solid", color="burlywood", weight=9]; 820 -> 552[label="",style="solid", color="burlywood", weight=3]; 821[label="xv401/Neg xv4010",fontsize=10,color="white",style="solid",shape="box"];541 -> 821[label="",style="solid", color="burlywood", weight=9]; 821 -> 553[label="",style="solid", color="burlywood", weight=3]; 542 -> 175[label="",style="dashed", color="red", weight=0]; 542[label="primEqNat xv3000 xv4000",fontsize=16,color="magenta"];542 -> 554[label="",style="dashed", color="magenta", weight=3]; 542 -> 555[label="",style="dashed", color="magenta", weight=3]; 543[label="False",fontsize=16,color="green",shape="box"];544[label="False",fontsize=16,color="green",shape="box"];545[label="True",fontsize=16,color="green",shape="box"];546[label="xv3000",fontsize=16,color="green",shape="box"];547[label="xv4000",fontsize=16,color="green",shape="box"];548[label="xv3000",fontsize=16,color="green",shape="box"];549[label="xv4000",fontsize=16,color="green",shape="box"];550[label="primMulInt (Pos xv3000) (Pos xv4010)",fontsize=16,color="black",shape="box"];550 -> 556[label="",style="solid", color="black", weight=3]; 551[label="primMulInt (Pos xv3000) (Neg xv4010)",fontsize=16,color="black",shape="box"];551 -> 557[label="",style="solid", color="black", weight=3]; 552[label="primMulInt (Neg xv3000) (Pos xv4010)",fontsize=16,color="black",shape="box"];552 -> 558[label="",style="solid", color="black", weight=3]; 553[label="primMulInt (Neg xv3000) (Neg xv4010)",fontsize=16,color="black",shape="box"];553 -> 559[label="",style="solid", color="black", weight=3]; 554[label="xv3000",fontsize=16,color="green",shape="box"];555[label="xv4000",fontsize=16,color="green",shape="box"];556[label="Pos (primMulNat xv3000 xv4010)",fontsize=16,color="green",shape="box"];556 -> 560[label="",style="dashed", color="green", weight=3]; 557[label="Neg (primMulNat xv3000 xv4010)",fontsize=16,color="green",shape="box"];557 -> 561[label="",style="dashed", color="green", weight=3]; 558[label="Neg (primMulNat xv3000 xv4010)",fontsize=16,color="green",shape="box"];558 -> 562[label="",style="dashed", color="green", weight=3]; 559[label="Pos (primMulNat xv3000 xv4010)",fontsize=16,color="green",shape="box"];559 -> 563[label="",style="dashed", color="green", weight=3]; 560[label="primMulNat xv3000 xv4010",fontsize=16,color="burlywood",shape="triangle"];822[label="xv3000/Succ xv30000",fontsize=10,color="white",style="solid",shape="box"];560 -> 822[label="",style="solid", color="burlywood", weight=9]; 822 -> 564[label="",style="solid", color="burlywood", weight=3]; 823[label="xv3000/Zero",fontsize=10,color="white",style="solid",shape="box"];560 -> 823[label="",style="solid", color="burlywood", weight=9]; 823 -> 565[label="",style="solid", color="burlywood", weight=3]; 561 -> 560[label="",style="dashed", color="red", weight=0]; 561[label="primMulNat xv3000 xv4010",fontsize=16,color="magenta"];561 -> 566[label="",style="dashed", color="magenta", weight=3]; 562 -> 560[label="",style="dashed", color="red", weight=0]; 562[label="primMulNat xv3000 xv4010",fontsize=16,color="magenta"];562 -> 567[label="",style="dashed", color="magenta", weight=3]; 563 -> 560[label="",style="dashed", color="red", weight=0]; 563[label="primMulNat xv3000 xv4010",fontsize=16,color="magenta"];563 -> 568[label="",style="dashed", color="magenta", weight=3]; 563 -> 569[label="",style="dashed", color="magenta", weight=3]; 564[label="primMulNat (Succ xv30000) xv4010",fontsize=16,color="burlywood",shape="box"];824[label="xv4010/Succ xv40100",fontsize=10,color="white",style="solid",shape="box"];564 -> 824[label="",style="solid", color="burlywood", weight=9]; 824 -> 570[label="",style="solid", color="burlywood", weight=3]; 825[label="xv4010/Zero",fontsize=10,color="white",style="solid",shape="box"];564 -> 825[label="",style="solid", color="burlywood", weight=9]; 825 -> 571[label="",style="solid", color="burlywood", weight=3]; 565[label="primMulNat Zero xv4010",fontsize=16,color="burlywood",shape="box"];826[label="xv4010/Succ xv40100",fontsize=10,color="white",style="solid",shape="box"];565 -> 826[label="",style="solid", color="burlywood", weight=9]; 826 -> 572[label="",style="solid", color="burlywood", weight=3]; 827[label="xv4010/Zero",fontsize=10,color="white",style="solid",shape="box"];565 -> 827[label="",style="solid", color="burlywood", weight=9]; 827 -> 573[label="",style="solid", color="burlywood", weight=3]; 566[label="xv4010",fontsize=16,color="green",shape="box"];567[label="xv3000",fontsize=16,color="green",shape="box"];568[label="xv4010",fontsize=16,color="green",shape="box"];569[label="xv3000",fontsize=16,color="green",shape="box"];570[label="primMulNat (Succ xv30000) (Succ xv40100)",fontsize=16,color="black",shape="box"];570 -> 574[label="",style="solid", color="black", weight=3]; 571[label="primMulNat (Succ xv30000) Zero",fontsize=16,color="black",shape="box"];571 -> 575[label="",style="solid", color="black", weight=3]; 572[label="primMulNat Zero (Succ xv40100)",fontsize=16,color="black",shape="box"];572 -> 576[label="",style="solid", color="black", weight=3]; 573[label="primMulNat Zero Zero",fontsize=16,color="black",shape="box"];573 -> 577[label="",style="solid", color="black", weight=3]; 574 -> 578[label="",style="dashed", color="red", weight=0]; 574[label="primPlusNat (primMulNat xv30000 (Succ xv40100)) (Succ xv40100)",fontsize=16,color="magenta"];574 -> 579[label="",style="dashed", color="magenta", weight=3]; 575[label="Zero",fontsize=16,color="green",shape="box"];576[label="Zero",fontsize=16,color="green",shape="box"];577[label="Zero",fontsize=16,color="green",shape="box"];579 -> 560[label="",style="dashed", color="red", weight=0]; 579[label="primMulNat xv30000 (Succ xv40100)",fontsize=16,color="magenta"];579 -> 580[label="",style="dashed", color="magenta", weight=3]; 579 -> 581[label="",style="dashed", color="magenta", weight=3]; 578[label="primPlusNat xv11 (Succ xv40100)",fontsize=16,color="burlywood",shape="triangle"];828[label="xv11/Succ xv110",fontsize=10,color="white",style="solid",shape="box"];578 -> 828[label="",style="solid", color="burlywood", weight=9]; 828 -> 582[label="",style="solid", color="burlywood", weight=3]; 829[label="xv11/Zero",fontsize=10,color="white",style="solid",shape="box"];578 -> 829[label="",style="solid", color="burlywood", weight=9]; 829 -> 583[label="",style="solid", color="burlywood", weight=3]; 580[label="Succ xv40100",fontsize=16,color="green",shape="box"];581[label="xv30000",fontsize=16,color="green",shape="box"];582[label="primPlusNat (Succ xv110) (Succ xv40100)",fontsize=16,color="black",shape="box"];582 -> 584[label="",style="solid", color="black", weight=3]; 583[label="primPlusNat Zero (Succ xv40100)",fontsize=16,color="black",shape="box"];583 -> 585[label="",style="solid", color="black", weight=3]; 584[label="Succ (Succ (primPlusNat xv110 xv40100))",fontsize=16,color="green",shape="box"];584 -> 586[label="",style="dashed", color="green", weight=3]; 585[label="Succ xv40100",fontsize=16,color="green",shape="box"];586[label="primPlusNat xv110 xv40100",fontsize=16,color="burlywood",shape="triangle"];830[label="xv110/Succ xv1100",fontsize=10,color="white",style="solid",shape="box"];586 -> 830[label="",style="solid", color="burlywood", weight=9]; 830 -> 587[label="",style="solid", color="burlywood", weight=3]; 831[label="xv110/Zero",fontsize=10,color="white",style="solid",shape="box"];586 -> 831[label="",style="solid", color="burlywood", weight=9]; 831 -> 588[label="",style="solid", color="burlywood", weight=3]; 587[label="primPlusNat (Succ xv1100) xv40100",fontsize=16,color="burlywood",shape="box"];832[label="xv40100/Succ xv401000",fontsize=10,color="white",style="solid",shape="box"];587 -> 832[label="",style="solid", color="burlywood", weight=9]; 832 -> 589[label="",style="solid", color="burlywood", weight=3]; 833[label="xv40100/Zero",fontsize=10,color="white",style="solid",shape="box"];587 -> 833[label="",style="solid", color="burlywood", weight=9]; 833 -> 590[label="",style="solid", color="burlywood", weight=3]; 588[label="primPlusNat Zero xv40100",fontsize=16,color="burlywood",shape="box"];834[label="xv40100/Succ xv401000",fontsize=10,color="white",style="solid",shape="box"];588 -> 834[label="",style="solid", color="burlywood", weight=9]; 834 -> 591[label="",style="solid", color="burlywood", weight=3]; 835[label="xv40100/Zero",fontsize=10,color="white",style="solid",shape="box"];588 -> 835[label="",style="solid", color="burlywood", weight=9]; 835 -> 592[label="",style="solid", color="burlywood", weight=3]; 589[label="primPlusNat (Succ xv1100) (Succ xv401000)",fontsize=16,color="black",shape="box"];589 -> 593[label="",style="solid", color="black", weight=3]; 590[label="primPlusNat (Succ xv1100) Zero",fontsize=16,color="black",shape="box"];590 -> 594[label="",style="solid", color="black", weight=3]; 591[label="primPlusNat Zero (Succ xv401000)",fontsize=16,color="black",shape="box"];591 -> 595[label="",style="solid", color="black", weight=3]; 592[label="primPlusNat Zero Zero",fontsize=16,color="black",shape="box"];592 -> 596[label="",style="solid", color="black", weight=3]; 593[label="Succ (Succ (primPlusNat xv1100 xv401000))",fontsize=16,color="green",shape="box"];593 -> 597[label="",style="dashed", color="green", weight=3]; 594[label="Succ xv1100",fontsize=16,color="green",shape="box"];595[label="Succ xv401000",fontsize=16,color="green",shape="box"];596[label="Zero",fontsize=16,color="green",shape="box"];597 -> 586[label="",style="dashed", color="red", weight=0]; 597[label="primPlusNat xv1100 xv401000",fontsize=16,color="magenta"];597 -> 598[label="",style="dashed", color="magenta", weight=3]; 597 -> 599[label="",style="dashed", color="magenta", weight=3]; 598[label="xv401000",fontsize=16,color="green",shape="box"];599[label="xv1100",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(:(Just(xv300), xv31), :(Just(xv400), xv41), app(ty_Maybe, app(ty_[], bc))) -> new_esEs1(xv300, xv400, bc) new_esEs1(:(@2(xv300, xv301), xv31), :(@2(xv400, xv401), xv41), app(app(ty_@2, bbh), app(app(ty_Either, bcb), bcc))) -> new_esEs0(xv301, xv401, bcb, bcc) new_esEs3(@2(xv300, xv301), @2(xv400, xv401), app(app(ty_Either, bah), bba), bag) -> new_esEs0(xv300, xv400, bah, bba) new_esEs1(:(@2(xv300, xv301), xv31), :(@2(xv400, xv401), xv41), app(app(ty_@2, app(ty_[], bbb)), bag)) -> new_esEs1(xv300, xv400, bbb) new_esEs0(Left(xv300), Left(xv400), app(ty_Maybe, ca), cb) -> new_esEs(xv300, xv400, ca) new_esEs1(:(@3(xv300, xv301, xv302), xv31), :(@3(xv400, xv401, xv402), xv41), app(app(app(ty_@3, gc), app(app(ty_@2, hc), hd)), fa)) -> new_esEs3(xv301, xv401, hc, hd) new_esEs1(:(@2(xv300, xv301), xv31), :(@2(xv400, xv401), xv41), app(app(ty_@2, bbh), app(ty_Maybe, bca))) -> new_esEs(xv301, xv401, bca) new_esEs1(:(@3(xv300, xv301, xv302), xv31), :(@3(xv400, xv401, xv402), xv41), app(app(app(ty_@3, app(app(ty_Either, fb), fc)), eh), fa)) -> new_esEs0(xv300, xv400, fb, fc) new_esEs(Just(xv300), Just(xv400), app(ty_Maybe, h)) -> new_esEs(xv300, xv400, h) new_esEs1(:(Right(xv300), xv31), :(Right(xv400), xv41), app(app(ty_Either, dd), app(ty_Maybe, de))) -> new_esEs(xv300, xv400, de) new_esEs1(:(@2(xv300, xv301), xv31), :(@2(xv400, xv401), xv41), app(app(ty_@2, app(ty_Maybe, baf)), bag)) -> new_esEs(xv300, xv400, baf) new_esEs2(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), gc, app(app(ty_@2, hc), hd), fa) -> new_esEs3(xv301, xv401, hc, hd) new_esEs1(:(Right(xv300), xv31), :(Right(xv400), xv41), app(app(ty_Either, dd), app(app(ty_@2, ed), ee))) -> new_esEs3(xv300, xv400, ed, ee) new_esEs2(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), gc, app(app(app(ty_@3, gh), ha), hb), fa) -> new_esEs2(xv301, xv401, gh, ha, hb) new_esEs1(:(@3(xv300, xv301, xv302), xv31), :(@3(xv400, xv401, xv402), xv41), app(app(app(ty_@3, gc), app(app(app(ty_@3, gh), ha), hb)), fa)) -> new_esEs2(xv301, xv401, gh, ha, hb) new_esEs1(:(Just(xv300), xv31), :(Just(xv400), xv41), app(ty_Maybe, app(ty_Maybe, h))) -> new_esEs(xv300, xv400, h) new_esEs2(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), app(app(app(ty_@3, ff), fg), fh), eh, fa) -> new_esEs2(xv300, xv400, ff, fg, fh) new_esEs1(:(@3(xv300, xv301, xv302), xv31), :(@3(xv400, xv401, xv402), xv41), app(app(app(ty_@3, app(ty_Maybe, eg)), eh), fa)) -> new_esEs(xv300, xv400, eg) new_esEs3(@2(xv300, xv301), @2(xv400, xv401), bbh, app(ty_[], bcd)) -> new_esEs1(xv301, xv401, bcd) new_esEs0(Left(xv300), Left(xv400), app(app(ty_Either, cc), cd), cb) -> new_esEs0(xv300, xv400, cc, cd) new_esEs2(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), gc, eh, app(app(ty_Either, hf), hg)) -> new_esEs0(xv302, xv402, hf, hg) new_esEs1(:(@3(xv300, xv301, xv302), xv31), :(@3(xv400, xv401, xv402), xv41), app(app(app(ty_@3, gc), eh), app(app(ty_Either, hf), hg))) -> new_esEs0(xv302, xv402, hf, hg) new_esEs3(@2(xv300, xv301), @2(xv400, xv401), app(app(app(ty_@3, bbc), bbd), bbe), bag) -> new_esEs2(xv300, xv400, bbc, bbd, bbe) new_esEs1(:(@3(xv300, xv301, xv302), xv31), :(@3(xv400, xv401, xv402), xv41), app(app(app(ty_@3, gc), eh), app(ty_Maybe, he))) -> new_esEs(xv302, xv402, he) new_esEs1(:(Left(xv300), xv31), :(Left(xv400), xv41), app(app(ty_Either, app(app(app(ty_@3, cf), cg), da)), cb)) -> new_esEs2(xv300, xv400, cf, cg, da) new_esEs3(@2(xv300, xv301), @2(xv400, xv401), bbh, app(ty_Maybe, bca)) -> new_esEs(xv301, xv401, bca) new_esEs0(Right(xv300), Right(xv400), dd, app(ty_[], dh)) -> new_esEs1(xv300, xv400, dh) new_esEs0(Right(xv300), Right(xv400), dd, app(app(app(ty_@3, ea), eb), ec)) -> new_esEs2(xv300, xv400, ea, eb, ec) new_esEs1(:(Right(xv300), xv31), :(Right(xv400), xv41), app(app(ty_Either, dd), app(ty_[], dh))) -> new_esEs1(xv300, xv400, dh) new_esEs2(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), app(ty_[], fd), eh, fa) -> new_esEs1(xv300, xv400, fd) new_esEs2(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), gc, eh, app(ty_Maybe, he)) -> new_esEs(xv302, xv402, he) new_esEs1(:(Left(xv300), xv31), :(Left(xv400), xv41), app(app(ty_Either, app(app(ty_@2, db), dc)), cb)) -> new_esEs3(xv300, xv400, db, dc) new_esEs1(:(@3(xv300, xv301, xv302), xv31), :(@3(xv400, xv401, xv402), xv41), app(app(app(ty_@3, gc), eh), app(app(app(ty_@3, baa), bab), bac))) -> new_esEs2(xv302, xv402, baa, bab, bac) new_esEs1(:(@3(xv300, xv301, xv302), xv31), :(@3(xv400, xv401, xv402), xv41), app(app(app(ty_@3, gc), eh), app(app(ty_@2, bad), bae))) -> new_esEs3(xv302, xv402, bad, bae) new_esEs3(@2(xv300, xv301), @2(xv400, xv401), bbh, app(app(app(ty_@3, bce), bcf), bcg)) -> new_esEs2(xv301, xv401, bce, bcf, bcg) new_esEs1(:(@2(xv300, xv301), xv31), :(@2(xv400, xv401), xv41), app(app(ty_@2, bbh), app(app(ty_@2, bch), bda))) -> new_esEs3(xv301, xv401, bch, bda) new_esEs0(Right(xv300), Right(xv400), dd, app(ty_Maybe, de)) -> new_esEs(xv300, xv400, de) new_esEs2(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), app(ty_Maybe, eg), eh, fa) -> new_esEs(xv300, xv400, eg) new_esEs2(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), gc, eh, app(ty_[], hh)) -> new_esEs1(xv302, xv402, hh) new_esEs1(:(@2(xv300, xv301), xv31), :(@2(xv400, xv401), xv41), app(app(ty_@2, bbh), app(app(app(ty_@3, bce), bcf), bcg))) -> new_esEs2(xv301, xv401, bce, bcf, bcg) new_esEs3(@2(xv300, xv301), @2(xv400, xv401), bbh, app(app(ty_Either, bcb), bcc)) -> new_esEs0(xv301, xv401, bcb, bcc) new_esEs(Just(xv300), Just(xv400), app(ty_[], bc)) -> new_esEs1(xv300, xv400, bc) new_esEs(Just(xv300), Just(xv400), app(app(ty_@2, bg), bh)) -> new_esEs3(xv300, xv400, bg, bh) new_esEs2(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), gc, eh, app(app(ty_@2, bad), bae)) -> new_esEs3(xv302, xv402, bad, bae) new_esEs1(:(Left(xv300), xv31), :(Left(xv400), xv41), app(app(ty_Either, app(app(ty_Either, cc), cd)), cb)) -> new_esEs0(xv300, xv400, cc, cd) new_esEs0(Right(xv300), Right(xv400), dd, app(app(ty_Either, df), dg)) -> new_esEs0(xv300, xv400, df, dg) new_esEs1(:(@3(xv300, xv301, xv302), xv31), :(@3(xv400, xv401, xv402), xv41), app(app(app(ty_@3, gc), eh), app(ty_[], hh))) -> new_esEs1(xv302, xv402, hh) new_esEs1(:(@3(xv300, xv301, xv302), xv31), :(@3(xv400, xv401, xv402), xv41), app(app(app(ty_@3, app(app(ty_@2, ga), gb)), eh), fa)) -> new_esEs3(xv300, xv400, ga, gb) new_esEs1(:(Left(xv300), xv31), :(Left(xv400), xv41), app(app(ty_Either, app(ty_[], ce)), cb)) -> new_esEs1(xv300, xv400, ce) new_esEs1(:(Just(xv300), xv31), :(Just(xv400), xv41), app(ty_Maybe, app(app(ty_Either, ba), bb))) -> new_esEs0(xv300, xv400, ba, bb) new_esEs2(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), app(app(ty_@2, ga), gb), eh, fa) -> new_esEs3(xv300, xv400, ga, gb) new_esEs1(:(@3(xv300, xv301, xv302), xv31), :(@3(xv400, xv401, xv402), xv41), app(app(app(ty_@3, gc), app(app(ty_Either, ge), gf)), fa)) -> new_esEs0(xv301, xv401, ge, gf) new_esEs0(Left(xv300), Left(xv400), app(app(app(ty_@3, cf), cg), da), cb) -> new_esEs2(xv300, xv400, cf, cg, da) new_esEs1(:(Right(xv300), xv31), :(Right(xv400), xv41), app(app(ty_Either, dd), app(app(app(ty_@3, ea), eb), ec))) -> new_esEs2(xv300, xv400, ea, eb, ec) new_esEs1(:(@3(xv300, xv301, xv302), xv31), :(@3(xv400, xv401, xv402), xv41), app(app(app(ty_@3, app(app(app(ty_@3, ff), fg), fh)), eh), fa)) -> new_esEs2(xv300, xv400, ff, fg, fh) new_esEs3(@2(xv300, xv301), @2(xv400, xv401), bbh, app(app(ty_@2, bch), bda)) -> new_esEs3(xv301, xv401, bch, bda) new_esEs0(Left(xv300), Left(xv400), app(app(ty_@2, db), dc), cb) -> new_esEs3(xv300, xv400, db, dc) new_esEs1(:(@3(xv300, xv301, xv302), xv31), :(@3(xv400, xv401, xv402), xv41), app(app(app(ty_@3, gc), app(ty_Maybe, gd)), fa)) -> new_esEs(xv301, xv401, gd) new_esEs1(:(@2(xv300, xv301), xv31), :(@2(xv400, xv401), xv41), app(app(ty_@2, app(app(app(ty_@3, bbc), bbd), bbe)), bag)) -> new_esEs2(xv300, xv400, bbc, bbd, bbe) new_esEs1(:(@3(xv300, xv301, xv302), xv31), :(@3(xv400, xv401, xv402), xv41), app(app(app(ty_@3, gc), app(ty_[], gg)), fa)) -> new_esEs1(xv301, xv401, gg) new_esEs0(Right(xv300), Right(xv400), dd, app(app(ty_@2, ed), ee)) -> new_esEs3(xv300, xv400, ed, ee) new_esEs2(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), gc, app(app(ty_Either, ge), gf), fa) -> new_esEs0(xv301, xv401, ge, gf) new_esEs1(:(@2(xv300, xv301), xv31), :(@2(xv400, xv401), xv41), app(app(ty_@2, bbh), app(ty_[], bcd))) -> new_esEs1(xv301, xv401, bcd) new_esEs1(:(Left(xv300), xv31), :(Left(xv400), xv41), app(app(ty_Either, app(ty_Maybe, ca)), cb)) -> new_esEs(xv300, xv400, ca) new_esEs2(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), app(app(ty_Either, fb), fc), eh, fa) -> new_esEs0(xv300, xv400, fb, fc) new_esEs3(@2(xv300, xv301), @2(xv400, xv401), app(app(ty_@2, bbf), bbg), bag) -> new_esEs3(xv300, xv400, bbf, bbg) new_esEs(Just(xv300), Just(xv400), app(app(ty_Either, ba), bb)) -> new_esEs0(xv300, xv400, ba, bb) new_esEs(Just(xv300), Just(xv400), app(app(app(ty_@3, bd), be), bf)) -> new_esEs2(xv300, xv400, bd, be, bf) new_esEs1(:(xv30, xv31), :(xv40, xv41), bdb) -> new_esEs1(xv31, xv41, bdb) new_esEs1(:(Just(xv300), xv31), :(Just(xv400), xv41), app(ty_Maybe, app(app(app(ty_@3, bd), be), bf))) -> new_esEs2(xv300, xv400, bd, be, bf) new_esEs0(Left(xv300), Left(xv400), app(ty_[], ce), cb) -> new_esEs1(xv300, xv400, ce) new_esEs1(:(xv30, xv31), :(xv40, xv41), app(ty_[], ef)) -> new_esEs1(xv30, xv40, ef) new_esEs1(:(Just(xv300), xv31), :(Just(xv400), xv41), app(ty_Maybe, app(app(ty_@2, bg), bh))) -> new_esEs3(xv300, xv400, bg, bh) new_esEs2(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), gc, eh, app(app(app(ty_@3, baa), bab), bac)) -> new_esEs2(xv302, xv402, baa, bab, bac) new_esEs3(@2(xv300, xv301), @2(xv400, xv401), app(ty_Maybe, baf), bag) -> new_esEs(xv300, xv400, baf) new_esEs1(:(@2(xv300, xv301), xv31), :(@2(xv400, xv401), xv41), app(app(ty_@2, app(app(ty_@2, bbf), bbg)), bag)) -> new_esEs3(xv300, xv400, bbf, bbg) new_esEs2(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), gc, app(ty_Maybe, gd), fa) -> new_esEs(xv301, xv401, gd) new_esEs1(:(@2(xv300, xv301), xv31), :(@2(xv400, xv401), xv41), app(app(ty_@2, app(app(ty_Either, bah), bba)), bag)) -> new_esEs0(xv300, xv400, bah, bba) new_esEs1(:(@3(xv300, xv301, xv302), xv31), :(@3(xv400, xv401, xv402), xv41), app(app(app(ty_@3, app(ty_[], fd)), eh), fa)) -> new_esEs1(xv300, xv400, fd) new_esEs2(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), gc, app(ty_[], gg), fa) -> new_esEs1(xv301, xv401, gg) new_esEs1(:(Right(xv300), xv31), :(Right(xv400), xv41), app(app(ty_Either, dd), app(app(ty_Either, df), dg))) -> new_esEs0(xv300, xv400, df, dg) new_esEs3(@2(xv300, xv301), @2(xv400, xv401), app(ty_[], bbb), bag) -> new_esEs1(xv300, xv400, bbb) 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(Just(xv300), Just(xv400), app(ty_[], bc)) -> new_esEs1(xv300, xv400, bc) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs(Just(xv300), Just(xv400), app(app(ty_@2, bg), bh)) -> new_esEs3(xv300, xv400, bg, bh) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs(Just(xv300), Just(xv400), app(app(ty_Either, ba), bb)) -> new_esEs0(xv300, xv400, ba, bb) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs(Just(xv300), Just(xv400), app(ty_Maybe, h)) -> new_esEs(xv300, xv400, h) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs(Just(xv300), Just(xv400), app(app(app(ty_@3, bd), be), bf)) -> new_esEs2(xv300, xv400, bd, be, bf) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 *new_esEs1(:(Just(xv300), xv31), :(Just(xv400), xv41), app(ty_Maybe, app(ty_[], bc))) -> new_esEs1(xv300, xv400, bc) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs1(:(@2(xv300, xv301), xv31), :(@2(xv400, xv401), xv41), app(app(ty_@2, app(ty_[], bbb)), bag)) -> new_esEs1(xv300, xv400, bbb) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs1(:(Right(xv300), xv31), :(Right(xv400), xv41), app(app(ty_Either, dd), app(ty_[], dh))) -> new_esEs1(xv300, xv400, dh) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs1(:(@3(xv300, xv301, xv302), xv31), :(@3(xv400, xv401, xv402), xv41), app(app(app(ty_@3, gc), eh), app(ty_[], hh))) -> new_esEs1(xv302, xv402, hh) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs1(:(Left(xv300), xv31), :(Left(xv400), xv41), app(app(ty_Either, app(ty_[], ce)), cb)) -> new_esEs1(xv300, xv400, ce) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs1(:(@3(xv300, xv301, xv302), xv31), :(@3(xv400, xv401, xv402), xv41), app(app(app(ty_@3, gc), app(ty_[], gg)), fa)) -> new_esEs1(xv301, xv401, gg) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs1(:(@2(xv300, xv301), xv31), :(@2(xv400, xv401), xv41), app(app(ty_@2, bbh), app(ty_[], bcd))) -> new_esEs1(xv301, xv401, bcd) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs1(:(xv30, xv31), :(xv40, xv41), bdb) -> new_esEs1(xv31, xv41, bdb) The graph contains the following edges 1 > 1, 2 > 2, 3 >= 3 *new_esEs1(:(xv30, xv31), :(xv40, xv41), app(ty_[], ef)) -> new_esEs1(xv30, xv40, ef) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs1(:(@3(xv300, xv301, xv302), xv31), :(@3(xv400, xv401, xv402), xv41), app(app(app(ty_@3, app(ty_[], fd)), eh), fa)) -> new_esEs1(xv300, xv400, fd) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs1(:(@3(xv300, xv301, xv302), xv31), :(@3(xv400, xv401, xv402), xv41), app(app(app(ty_@3, gc), app(app(ty_@2, hc), hd)), fa)) -> new_esEs3(xv301, xv401, hc, hd) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs1(:(Right(xv300), xv31), :(Right(xv400), xv41), app(app(ty_Either, dd), app(app(ty_@2, ed), ee))) -> new_esEs3(xv300, xv400, ed, ee) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs1(:(Left(xv300), xv31), :(Left(xv400), xv41), app(app(ty_Either, app(app(ty_@2, db), dc)), cb)) -> new_esEs3(xv300, xv400, db, dc) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs1(:(@3(xv300, xv301, xv302), xv31), :(@3(xv400, xv401, xv402), xv41), app(app(app(ty_@3, gc), eh), app(app(ty_@2, bad), bae))) -> new_esEs3(xv302, xv402, bad, bae) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs1(:(@2(xv300, xv301), xv31), :(@2(xv400, xv401), xv41), app(app(ty_@2, bbh), app(app(ty_@2, bch), bda))) -> new_esEs3(xv301, xv401, bch, bda) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs1(:(@3(xv300, xv301, xv302), xv31), :(@3(xv400, xv401, xv402), xv41), app(app(app(ty_@3, app(app(ty_@2, ga), gb)), eh), fa)) -> new_esEs3(xv300, xv400, ga, gb) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs1(:(Just(xv300), xv31), :(Just(xv400), xv41), app(ty_Maybe, app(app(ty_@2, bg), bh))) -> new_esEs3(xv300, xv400, bg, bh) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs1(:(@2(xv300, xv301), xv31), :(@2(xv400, xv401), xv41), app(app(ty_@2, app(app(ty_@2, bbf), bbg)), bag)) -> new_esEs3(xv300, xv400, bbf, bbg) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs1(:(@2(xv300, xv301), xv31), :(@2(xv400, xv401), xv41), app(app(ty_@2, bbh), app(app(ty_Either, bcb), bcc))) -> new_esEs0(xv301, xv401, bcb, bcc) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs1(:(@3(xv300, xv301, xv302), xv31), :(@3(xv400, xv401, xv402), xv41), app(app(app(ty_@3, app(app(ty_Either, fb), fc)), eh), fa)) -> new_esEs0(xv300, xv400, fb, fc) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs1(:(@3(xv300, xv301, xv302), xv31), :(@3(xv400, xv401, xv402), xv41), app(app(app(ty_@3, gc), eh), app(app(ty_Either, hf), hg))) -> new_esEs0(xv302, xv402, hf, hg) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs1(:(Left(xv300), xv31), :(Left(xv400), xv41), app(app(ty_Either, app(app(ty_Either, cc), cd)), cb)) -> new_esEs0(xv300, xv400, cc, cd) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs1(:(Just(xv300), xv31), :(Just(xv400), xv41), app(ty_Maybe, app(app(ty_Either, ba), bb))) -> new_esEs0(xv300, xv400, ba, bb) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs1(:(@3(xv300, xv301, xv302), xv31), :(@3(xv400, xv401, xv402), xv41), app(app(app(ty_@3, gc), app(app(ty_Either, ge), gf)), fa)) -> new_esEs0(xv301, xv401, ge, gf) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs1(:(@2(xv300, xv301), xv31), :(@2(xv400, xv401), xv41), app(app(ty_@2, app(app(ty_Either, bah), bba)), bag)) -> new_esEs0(xv300, xv400, bah, bba) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs1(:(Right(xv300), xv31), :(Right(xv400), xv41), app(app(ty_Either, dd), app(app(ty_Either, df), dg))) -> new_esEs0(xv300, xv400, df, dg) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs1(:(@2(xv300, xv301), xv31), :(@2(xv400, xv401), xv41), app(app(ty_@2, bbh), app(ty_Maybe, bca))) -> new_esEs(xv301, xv401, bca) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs1(:(Right(xv300), xv31), :(Right(xv400), xv41), app(app(ty_Either, dd), app(ty_Maybe, de))) -> new_esEs(xv300, xv400, de) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs1(:(@2(xv300, xv301), xv31), :(@2(xv400, xv401), xv41), app(app(ty_@2, app(ty_Maybe, baf)), bag)) -> new_esEs(xv300, xv400, baf) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs1(:(Just(xv300), xv31), :(Just(xv400), xv41), app(ty_Maybe, app(ty_Maybe, h))) -> new_esEs(xv300, xv400, h) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs1(:(@3(xv300, xv301, xv302), xv31), :(@3(xv400, xv401, xv402), xv41), app(app(app(ty_@3, app(ty_Maybe, eg)), eh), fa)) -> new_esEs(xv300, xv400, eg) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs1(:(@3(xv300, xv301, xv302), xv31), :(@3(xv400, xv401, xv402), xv41), app(app(app(ty_@3, gc), eh), app(ty_Maybe, he))) -> new_esEs(xv302, xv402, he) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs1(:(@3(xv300, xv301, xv302), xv31), :(@3(xv400, xv401, xv402), xv41), app(app(app(ty_@3, gc), app(ty_Maybe, gd)), fa)) -> new_esEs(xv301, xv401, gd) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs1(:(Left(xv300), xv31), :(Left(xv400), xv41), app(app(ty_Either, app(ty_Maybe, ca)), cb)) -> new_esEs(xv300, xv400, ca) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs1(:(@3(xv300, xv301, xv302), xv31), :(@3(xv400, xv401, xv402), xv41), app(app(app(ty_@3, gc), app(app(app(ty_@3, gh), ha), hb)), fa)) -> new_esEs2(xv301, xv401, gh, ha, hb) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 *new_esEs1(:(Left(xv300), xv31), :(Left(xv400), xv41), app(app(ty_Either, app(app(app(ty_@3, cf), cg), da)), cb)) -> new_esEs2(xv300, xv400, cf, cg, da) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 *new_esEs1(:(@3(xv300, xv301, xv302), xv31), :(@3(xv400, xv401, xv402), xv41), app(app(app(ty_@3, gc), eh), app(app(app(ty_@3, baa), bab), bac))) -> new_esEs2(xv302, xv402, baa, bab, bac) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 *new_esEs1(:(@2(xv300, xv301), xv31), :(@2(xv400, xv401), xv41), app(app(ty_@2, bbh), app(app(app(ty_@3, bce), bcf), bcg))) -> new_esEs2(xv301, xv401, bce, bcf, bcg) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 *new_esEs1(:(Right(xv300), xv31), :(Right(xv400), xv41), app(app(ty_Either, dd), app(app(app(ty_@3, ea), eb), ec))) -> new_esEs2(xv300, xv400, ea, eb, ec) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 *new_esEs1(:(@3(xv300, xv301, xv302), xv31), :(@3(xv400, xv401, xv402), xv41), app(app(app(ty_@3, app(app(app(ty_@3, ff), fg), fh)), eh), fa)) -> new_esEs2(xv300, xv400, ff, fg, fh) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 *new_esEs1(:(@2(xv300, xv301), xv31), :(@2(xv400, xv401), xv41), app(app(ty_@2, app(app(app(ty_@3, bbc), bbd), bbe)), bag)) -> new_esEs2(xv300, xv400, bbc, bbd, bbe) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 *new_esEs1(:(Just(xv300), xv31), :(Just(xv400), xv41), app(ty_Maybe, app(app(app(ty_@3, bd), be), bf))) -> new_esEs2(xv300, xv400, bd, be, bf) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 *new_esEs0(Right(xv300), Right(xv400), dd, app(ty_[], dh)) -> new_esEs1(xv300, xv400, dh) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 *new_esEs0(Left(xv300), Left(xv400), app(ty_[], ce), cb) -> new_esEs1(xv300, xv400, ce) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs3(@2(xv300, xv301), @2(xv400, xv401), bbh, app(ty_[], bcd)) -> new_esEs1(xv301, xv401, bcd) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 *new_esEs3(@2(xv300, xv301), @2(xv400, xv401), app(ty_[], bbb), bag) -> new_esEs1(xv300, xv400, bbb) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs2(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), app(ty_[], fd), eh, fa) -> new_esEs1(xv300, xv400, fd) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs2(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), gc, eh, app(ty_[], hh)) -> new_esEs1(xv302, xv402, hh) The graph contains the following edges 1 > 1, 2 > 2, 5 > 3 *new_esEs2(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), gc, app(ty_[], gg), fa) -> new_esEs1(xv301, xv401, gg) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 *new_esEs0(Left(xv300), Left(xv400), app(app(ty_@2, db), dc), cb) -> new_esEs3(xv300, xv400, db, dc) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs0(Right(xv300), Right(xv400), dd, app(app(ty_@2, ed), ee)) -> new_esEs3(xv300, xv400, ed, ee) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 *new_esEs0(Left(xv300), Left(xv400), app(app(ty_Either, cc), cd), cb) -> new_esEs0(xv300, xv400, cc, cd) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs0(Right(xv300), Right(xv400), dd, app(app(ty_Either, df), dg)) -> new_esEs0(xv300, xv400, df, dg) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 *new_esEs0(Left(xv300), Left(xv400), app(ty_Maybe, ca), cb) -> new_esEs(xv300, xv400, ca) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs0(Right(xv300), Right(xv400), dd, app(ty_Maybe, de)) -> new_esEs(xv300, xv400, de) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 *new_esEs0(Right(xv300), Right(xv400), dd, app(app(app(ty_@3, ea), eb), ec)) -> new_esEs2(xv300, xv400, ea, eb, ec) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4, 4 > 5 *new_esEs0(Left(xv300), Left(xv400), app(app(app(ty_@3, cf), cg), da), cb) -> new_esEs2(xv300, xv400, cf, cg, da) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 *new_esEs3(@2(xv300, xv301), @2(xv400, xv401), bbh, app(app(ty_@2, bch), bda)) -> new_esEs3(xv301, xv401, bch, bda) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 *new_esEs3(@2(xv300, xv301), @2(xv400, xv401), app(app(ty_@2, bbf), bbg), bag) -> new_esEs3(xv300, xv400, bbf, bbg) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs2(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), gc, app(app(ty_@2, hc), hd), fa) -> new_esEs3(xv301, xv401, hc, hd) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 *new_esEs2(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), gc, eh, app(app(ty_@2, bad), bae)) -> new_esEs3(xv302, xv402, bad, bae) The graph contains the following edges 1 > 1, 2 > 2, 5 > 3, 5 > 4 *new_esEs2(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), app(app(ty_@2, ga), gb), eh, fa) -> new_esEs3(xv300, xv400, ga, gb) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs3(@2(xv300, xv301), @2(xv400, xv401), app(app(ty_Either, bah), bba), bag) -> new_esEs0(xv300, xv400, bah, bba) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs3(@2(xv300, xv301), @2(xv400, xv401), bbh, app(app(ty_Either, bcb), bcc)) -> new_esEs0(xv301, xv401, bcb, bcc) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 *new_esEs2(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), gc, eh, app(app(ty_Either, hf), hg)) -> new_esEs0(xv302, xv402, hf, hg) The graph contains the following edges 1 > 1, 2 > 2, 5 > 3, 5 > 4 *new_esEs2(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), gc, app(app(ty_Either, ge), gf), fa) -> new_esEs0(xv301, xv401, ge, gf) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 *new_esEs2(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), app(app(ty_Either, fb), fc), eh, fa) -> new_esEs0(xv300, xv400, fb, fc) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs3(@2(xv300, xv301), @2(xv400, xv401), bbh, app(ty_Maybe, bca)) -> new_esEs(xv301, xv401, bca) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 *new_esEs3(@2(xv300, xv301), @2(xv400, xv401), app(ty_Maybe, baf), bag) -> new_esEs(xv300, xv400, baf) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs3(@2(xv300, xv301), @2(xv400, xv401), app(app(app(ty_@3, bbc), bbd), bbe), bag) -> new_esEs2(xv300, xv400, bbc, bbd, bbe) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 *new_esEs3(@2(xv300, xv301), @2(xv400, xv401), bbh, app(app(app(ty_@3, bce), bcf), bcg)) -> new_esEs2(xv301, xv401, bce, bcf, bcg) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4, 4 > 5 *new_esEs2(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), gc, eh, app(ty_Maybe, he)) -> new_esEs(xv302, xv402, he) The graph contains the following edges 1 > 1, 2 > 2, 5 > 3 *new_esEs2(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), app(ty_Maybe, eg), eh, fa) -> new_esEs(xv300, xv400, eg) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs2(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), gc, app(ty_Maybe, gd), fa) -> new_esEs(xv301, xv401, gd) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 *new_esEs2(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), gc, app(app(app(ty_@3, gh), ha), hb), fa) -> new_esEs2(xv301, xv401, gh, ha, hb) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4, 4 > 5 *new_esEs2(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), app(app(app(ty_@3, ff), fg), fh), eh, fa) -> new_esEs2(xv300, xv400, ff, fg, fh) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 *new_esEs2(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), gc, eh, app(app(app(ty_@3, baa), bab), bac)) -> new_esEs2(xv302, xv402, baa, bab, bac) The graph contains the following edges 1 > 1, 2 > 2, 5 > 3, 5 > 4, 5 > 5 ---------------------------------------- (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(xv1100), Succ(xv401000)) -> new_primPlusNat(xv1100, 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(xv1100), Succ(xv401000)) -> new_primPlusNat(xv1100, 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