/export/starexec/sandbox2/solver/bin/starexec_run_standard /export/starexec/sandbox2/benchmark/theBenchmark.hs /export/starexec/sandbox2/output/output_files -------------------------------------------------------------------------------- YES proof of /export/starexec/sandbox2/benchmark/theBenchmark.hs # AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty H-Termination with start terms of the given HASKELL could be proven: (0) HASKELL (1) BR [EQUIVALENT, 0 ms] (2) HASKELL (3) COR [EQUIVALENT, 0 ms] (4) HASKELL (5) Narrow [SOUND, 0 ms] (6) AND (7) QDP (8) QDPSizeChangeProof [EQUIVALENT, 0 ms] (9) YES (10) QDP (11) QDPSizeChangeProof [EQUIVALENT, 0 ms] (12) YES (13) QDP (14) QDPSizeChangeProof [EQUIVALENT, 0 ms] (15) YES (16) QDP (17) QDPSizeChangeProof [EQUIVALENT, 0 ms] (18) YES ---------------------------------------- (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"];621[label="xv3/Nothing",fontsize=10,color="white",style="solid",shape="box"];4 -> 621[label="",style="solid", color="burlywood", weight=9]; 621 -> 5[label="",style="solid", color="burlywood", weight=3]; 622[label="xv3/Just xv30",fontsize=10,color="white",style="solid",shape="box"];4 -> 622[label="",style="solid", color="burlywood", weight=9]; 622 -> 6[label="",style="solid", color="burlywood", weight=3]; 5[label="(==) Nothing xv4",fontsize=16,color="burlywood",shape="box"];623[label="xv4/Nothing",fontsize=10,color="white",style="solid",shape="box"];5 -> 623[label="",style="solid", color="burlywood", weight=9]; 623 -> 7[label="",style="solid", color="burlywood", weight=3]; 624[label="xv4/Just xv40",fontsize=10,color="white",style="solid",shape="box"];5 -> 624[label="",style="solid", color="burlywood", weight=9]; 624 -> 8[label="",style="solid", color="burlywood", weight=3]; 6[label="(==) Just xv30 xv4",fontsize=16,color="burlywood",shape="box"];625[label="xv4/Nothing",fontsize=10,color="white",style="solid",shape="box"];6 -> 625[label="",style="solid", color="burlywood", weight=9]; 625 -> 9[label="",style="solid", color="burlywood", weight=3]; 626[label="xv4/Just xv40",fontsize=10,color="white",style="solid",shape="box"];6 -> 626[label="",style="solid", color="burlywood", weight=9]; 626 -> 10[label="",style="solid", color="burlywood", weight=3]; 7[label="(==) Nothing Nothing",fontsize=16,color="black",shape="box"];7 -> 11[label="",style="solid", color="black", weight=3]; 8[label="(==) Nothing Just xv40",fontsize=16,color="black",shape="box"];8 -> 12[label="",style="solid", color="black", weight=3]; 9[label="(==) Just xv30 Nothing",fontsize=16,color="black",shape="box"];9 -> 13[label="",style="solid", color="black", weight=3]; 10[label="(==) Just xv30 Just xv40",fontsize=16,color="black",shape="box"];10 -> 14[label="",style="solid", color="black", weight=3]; 11[label="True",fontsize=16,color="green",shape="box"];12[label="False",fontsize=16,color="green",shape="box"];13[label="False",fontsize=16,color="green",shape="box"];14[label="xv30 == xv40",fontsize=16,color="blue",shape="box"];627[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];14 -> 627[label="",style="solid", color="blue", weight=9]; 627 -> 15[label="",style="solid", color="blue", weight=3]; 628[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];14 -> 628[label="",style="solid", color="blue", weight=9]; 628 -> 16[label="",style="solid", color="blue", weight=3]; 629[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];14 -> 629[label="",style="solid", color="blue", weight=9]; 629 -> 17[label="",style="solid", color="blue", weight=3]; 630[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];14 -> 630[label="",style="solid", color="blue", weight=9]; 630 -> 18[label="",style="solid", color="blue", weight=3]; 631[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];14 -> 631[label="",style="solid", color="blue", weight=9]; 631 -> 19[label="",style="solid", color="blue", weight=3]; 632[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];14 -> 632[label="",style="solid", color="blue", weight=9]; 632 -> 20[label="",style="solid", color="blue", weight=3]; 633[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];14 -> 633[label="",style="solid", color="blue", weight=9]; 633 -> 21[label="",style="solid", color="blue", weight=3]; 634[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];14 -> 634[label="",style="solid", color="blue", weight=9]; 634 -> 22[label="",style="solid", color="blue", weight=3]; 635[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];14 -> 635[label="",style="solid", color="blue", weight=9]; 635 -> 23[label="",style="solid", color="blue", weight=3]; 636[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];14 -> 636[label="",style="solid", color="blue", weight=9]; 636 -> 24[label="",style="solid", color="blue", weight=3]; 637[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];14 -> 637[label="",style="solid", color="blue", weight=9]; 637 -> 25[label="",style="solid", color="blue", weight=3]; 638[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];14 -> 638[label="",style="solid", color="blue", weight=9]; 638 -> 26[label="",style="solid", color="blue", weight=3]; 639[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];14 -> 639[label="",style="solid", color="blue", weight=9]; 639 -> 27[label="",style="solid", color="blue", weight=3]; 640[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];14 -> 640[label="",style="solid", color="blue", weight=9]; 640 -> 28[label="",style="solid", color="blue", weight=3]; 15 -> 4[label="",style="dashed", color="red", weight=0]; 15[label="xv30 == xv40",fontsize=16,color="magenta"];15 -> 29[label="",style="dashed", color="magenta", weight=3]; 15 -> 30[label="",style="dashed", color="magenta", weight=3]; 16[label="xv30 == xv40",fontsize=16,color="burlywood",shape="triangle"];641[label="xv30/xv300 :% xv301",fontsize=10,color="white",style="solid",shape="box"];16 -> 641[label="",style="solid", color="burlywood", weight=9]; 641 -> 31[label="",style="solid", color="burlywood", weight=3]; 17[label="xv30 == xv40",fontsize=16,color="burlywood",shape="triangle"];642[label="xv30/Left xv300",fontsize=10,color="white",style="solid",shape="box"];17 -> 642[label="",style="solid", color="burlywood", weight=9]; 642 -> 32[label="",style="solid", color="burlywood", weight=3]; 643[label="xv30/Right xv300",fontsize=10,color="white",style="solid",shape="box"];17 -> 643[label="",style="solid", color="burlywood", weight=9]; 643 -> 33[label="",style="solid", color="burlywood", weight=3]; 18[label="xv30 == xv40",fontsize=16,color="burlywood",shape="triangle"];644[label="xv30/xv300 : xv301",fontsize=10,color="white",style="solid",shape="box"];18 -> 644[label="",style="solid", color="burlywood", weight=9]; 644 -> 34[label="",style="solid", color="burlywood", weight=3]; 645[label="xv30/[]",fontsize=10,color="white",style="solid",shape="box"];18 -> 645[label="",style="solid", color="burlywood", weight=9]; 645 -> 35[label="",style="solid", color="burlywood", weight=3]; 19[label="xv30 == xv40",fontsize=16,color="burlywood",shape="triangle"];646[label="xv30/(xv300,xv301,xv302)",fontsize=10,color="white",style="solid",shape="box"];19 -> 646[label="",style="solid", color="burlywood", weight=9]; 646 -> 36[label="",style="solid", color="burlywood", weight=3]; 20[label="xv30 == xv40",fontsize=16,color="black",shape="triangle"];20 -> 37[label="",style="solid", color="black", weight=3]; 21[label="xv30 == xv40",fontsize=16,color="black",shape="triangle"];21 -> 38[label="",style="solid", color="black", weight=3]; 22[label="xv30 == xv40",fontsize=16,color="burlywood",shape="triangle"];647[label="xv30/LT",fontsize=10,color="white",style="solid",shape="box"];22 -> 647[label="",style="solid", color="burlywood", weight=9]; 647 -> 39[label="",style="solid", color="burlywood", weight=3]; 648[label="xv30/EQ",fontsize=10,color="white",style="solid",shape="box"];22 -> 648[label="",style="solid", color="burlywood", weight=9]; 648 -> 40[label="",style="solid", color="burlywood", weight=3]; 649[label="xv30/GT",fontsize=10,color="white",style="solid",shape="box"];22 -> 649[label="",style="solid", color="burlywood", weight=9]; 649 -> 41[label="",style="solid", color="burlywood", weight=3]; 23[label="xv30 == xv40",fontsize=16,color="burlywood",shape="triangle"];650[label="xv30/(xv300,xv301)",fontsize=10,color="white",style="solid",shape="box"];23 -> 650[label="",style="solid", color="burlywood", weight=9]; 650 -> 42[label="",style="solid", color="burlywood", weight=3]; 24[label="xv30 == xv40",fontsize=16,color="burlywood",shape="triangle"];651[label="xv30/False",fontsize=10,color="white",style="solid",shape="box"];24 -> 651[label="",style="solid", color="burlywood", weight=9]; 651 -> 43[label="",style="solid", color="burlywood", weight=3]; 652[label="xv30/True",fontsize=10,color="white",style="solid",shape="box"];24 -> 652[label="",style="solid", color="burlywood", weight=9]; 652 -> 44[label="",style="solid", color="burlywood", weight=3]; 25[label="xv30 == xv40",fontsize=16,color="burlywood",shape="triangle"];653[label="xv30/Integer xv300",fontsize=10,color="white",style="solid",shape="box"];25 -> 653[label="",style="solid", color="burlywood", weight=9]; 653 -> 45[label="",style="solid", color="burlywood", weight=3]; 26[label="xv30 == xv40",fontsize=16,color="black",shape="triangle"];26 -> 46[label="",style="solid", color="black", weight=3]; 27[label="xv30 == xv40",fontsize=16,color="burlywood",shape="triangle"];654[label="xv30/()",fontsize=10,color="white",style="solid",shape="box"];27 -> 654[label="",style="solid", color="burlywood", weight=9]; 654 -> 47[label="",style="solid", color="burlywood", weight=3]; 28[label="xv30 == xv40",fontsize=16,color="black",shape="triangle"];28 -> 48[label="",style="solid", color="black", weight=3]; 29[label="xv30",fontsize=16,color="green",shape="box"];30[label="xv40",fontsize=16,color="green",shape="box"];31[label="xv300 :% xv301 == xv40",fontsize=16,color="burlywood",shape="box"];655[label="xv40/xv400 :% xv401",fontsize=10,color="white",style="solid",shape="box"];31 -> 655[label="",style="solid", color="burlywood", weight=9]; 655 -> 49[label="",style="solid", color="burlywood", weight=3]; 32[label="Left xv300 == xv40",fontsize=16,color="burlywood",shape="box"];656[label="xv40/Left xv400",fontsize=10,color="white",style="solid",shape="box"];32 -> 656[label="",style="solid", color="burlywood", weight=9]; 656 -> 50[label="",style="solid", color="burlywood", weight=3]; 657[label="xv40/Right xv400",fontsize=10,color="white",style="solid",shape="box"];32 -> 657[label="",style="solid", color="burlywood", weight=9]; 657 -> 51[label="",style="solid", color="burlywood", weight=3]; 33[label="Right xv300 == xv40",fontsize=16,color="burlywood",shape="box"];658[label="xv40/Left xv400",fontsize=10,color="white",style="solid",shape="box"];33 -> 658[label="",style="solid", color="burlywood", weight=9]; 658 -> 52[label="",style="solid", color="burlywood", weight=3]; 659[label="xv40/Right xv400",fontsize=10,color="white",style="solid",shape="box"];33 -> 659[label="",style="solid", color="burlywood", weight=9]; 659 -> 53[label="",style="solid", color="burlywood", weight=3]; 34[label="xv300 : xv301 == xv40",fontsize=16,color="burlywood",shape="box"];660[label="xv40/xv400 : xv401",fontsize=10,color="white",style="solid",shape="box"];34 -> 660[label="",style="solid", color="burlywood", weight=9]; 660 -> 54[label="",style="solid", color="burlywood", weight=3]; 661[label="xv40/[]",fontsize=10,color="white",style="solid",shape="box"];34 -> 661[label="",style="solid", color="burlywood", weight=9]; 661 -> 55[label="",style="solid", color="burlywood", weight=3]; 35[label="[] == xv40",fontsize=16,color="burlywood",shape="box"];662[label="xv40/xv400 : xv401",fontsize=10,color="white",style="solid",shape="box"];35 -> 662[label="",style="solid", color="burlywood", weight=9]; 662 -> 56[label="",style="solid", color="burlywood", weight=3]; 663[label="xv40/[]",fontsize=10,color="white",style="solid",shape="box"];35 -> 663[label="",style="solid", color="burlywood", weight=9]; 663 -> 57[label="",style="solid", color="burlywood", weight=3]; 36[label="(xv300,xv301,xv302) == xv40",fontsize=16,color="burlywood",shape="box"];664[label="xv40/(xv400,xv401,xv402)",fontsize=10,color="white",style="solid",shape="box"];36 -> 664[label="",style="solid", color="burlywood", weight=9]; 664 -> 58[label="",style="solid", color="burlywood", weight=3]; 37[label="primEqDouble xv30 xv40",fontsize=16,color="burlywood",shape="box"];665[label="xv30/Double xv300 xv301",fontsize=10,color="white",style="solid",shape="box"];37 -> 665[label="",style="solid", color="burlywood", weight=9]; 665 -> 59[label="",style="solid", color="burlywood", weight=3]; 38[label="primEqChar xv30 xv40",fontsize=16,color="burlywood",shape="box"];666[label="xv30/Char xv300",fontsize=10,color="white",style="solid",shape="box"];38 -> 666[label="",style="solid", color="burlywood", weight=9]; 666 -> 60[label="",style="solid", color="burlywood", weight=3]; 39[label="LT == xv40",fontsize=16,color="burlywood",shape="box"];667[label="xv40/LT",fontsize=10,color="white",style="solid",shape="box"];39 -> 667[label="",style="solid", color="burlywood", weight=9]; 667 -> 61[label="",style="solid", color="burlywood", weight=3]; 668[label="xv40/EQ",fontsize=10,color="white",style="solid",shape="box"];39 -> 668[label="",style="solid", color="burlywood", weight=9]; 668 -> 62[label="",style="solid", color="burlywood", weight=3]; 669[label="xv40/GT",fontsize=10,color="white",style="solid",shape="box"];39 -> 669[label="",style="solid", color="burlywood", weight=9]; 669 -> 63[label="",style="solid", color="burlywood", weight=3]; 40[label="EQ == xv40",fontsize=16,color="burlywood",shape="box"];670[label="xv40/LT",fontsize=10,color="white",style="solid",shape="box"];40 -> 670[label="",style="solid", color="burlywood", weight=9]; 670 -> 64[label="",style="solid", color="burlywood", weight=3]; 671[label="xv40/EQ",fontsize=10,color="white",style="solid",shape="box"];40 -> 671[label="",style="solid", color="burlywood", weight=9]; 671 -> 65[label="",style="solid", color="burlywood", weight=3]; 672[label="xv40/GT",fontsize=10,color="white",style="solid",shape="box"];40 -> 672[label="",style="solid", color="burlywood", weight=9]; 672 -> 66[label="",style="solid", color="burlywood", weight=3]; 41[label="GT == xv40",fontsize=16,color="burlywood",shape="box"];673[label="xv40/LT",fontsize=10,color="white",style="solid",shape="box"];41 -> 673[label="",style="solid", color="burlywood", weight=9]; 673 -> 67[label="",style="solid", color="burlywood", weight=3]; 674[label="xv40/EQ",fontsize=10,color="white",style="solid",shape="box"];41 -> 674[label="",style="solid", color="burlywood", weight=9]; 674 -> 68[label="",style="solid", color="burlywood", weight=3]; 675[label="xv40/GT",fontsize=10,color="white",style="solid",shape="box"];41 -> 675[label="",style="solid", color="burlywood", weight=9]; 675 -> 69[label="",style="solid", color="burlywood", weight=3]; 42[label="(xv300,xv301) == xv40",fontsize=16,color="burlywood",shape="box"];676[label="xv40/(xv400,xv401)",fontsize=10,color="white",style="solid",shape="box"];42 -> 676[label="",style="solid", color="burlywood", weight=9]; 676 -> 70[label="",style="solid", color="burlywood", weight=3]; 43[label="False == xv40",fontsize=16,color="burlywood",shape="box"];677[label="xv40/False",fontsize=10,color="white",style="solid",shape="box"];43 -> 677[label="",style="solid", color="burlywood", weight=9]; 677 -> 71[label="",style="solid", color="burlywood", weight=3]; 678[label="xv40/True",fontsize=10,color="white",style="solid",shape="box"];43 -> 678[label="",style="solid", color="burlywood", weight=9]; 678 -> 72[label="",style="solid", color="burlywood", weight=3]; 44[label="True == xv40",fontsize=16,color="burlywood",shape="box"];679[label="xv40/False",fontsize=10,color="white",style="solid",shape="box"];44 -> 679[label="",style="solid", color="burlywood", weight=9]; 679 -> 73[label="",style="solid", color="burlywood", weight=3]; 680[label="xv40/True",fontsize=10,color="white",style="solid",shape="box"];44 -> 680[label="",style="solid", color="burlywood", weight=9]; 680 -> 74[label="",style="solid", color="burlywood", weight=3]; 45[label="Integer xv300 == xv40",fontsize=16,color="burlywood",shape="box"];681[label="xv40/Integer xv400",fontsize=10,color="white",style="solid",shape="box"];45 -> 681[label="",style="solid", color="burlywood", weight=9]; 681 -> 75[label="",style="solid", color="burlywood", weight=3]; 46[label="primEqInt xv30 xv40",fontsize=16,color="burlywood",shape="triangle"];682[label="xv30/Pos xv300",fontsize=10,color="white",style="solid",shape="box"];46 -> 682[label="",style="solid", color="burlywood", weight=9]; 682 -> 76[label="",style="solid", color="burlywood", weight=3]; 683[label="xv30/Neg xv300",fontsize=10,color="white",style="solid",shape="box"];46 -> 683[label="",style="solid", color="burlywood", weight=9]; 683 -> 77[label="",style="solid", color="burlywood", weight=3]; 47[label="() == xv40",fontsize=16,color="burlywood",shape="box"];684[label="xv40/()",fontsize=10,color="white",style="solid",shape="box"];47 -> 684[label="",style="solid", color="burlywood", weight=9]; 684 -> 78[label="",style="solid", color="burlywood", weight=3]; 48[label="primEqFloat xv30 xv40",fontsize=16,color="burlywood",shape="box"];685[label="xv30/Float xv300 xv301",fontsize=10,color="white",style="solid",shape="box"];48 -> 685[label="",style="solid", color="burlywood", weight=9]; 685 -> 79[label="",style="solid", color="burlywood", weight=3]; 49[label="xv300 :% xv301 == xv400 :% xv401",fontsize=16,color="black",shape="box"];49 -> 80[label="",style="solid", color="black", weight=3]; 50[label="Left xv300 == Left xv400",fontsize=16,color="black",shape="box"];50 -> 81[label="",style="solid", color="black", weight=3]; 51[label="Left xv300 == Right xv400",fontsize=16,color="black",shape="box"];51 -> 82[label="",style="solid", color="black", weight=3]; 52[label="Right xv300 == Left xv400",fontsize=16,color="black",shape="box"];52 -> 83[label="",style="solid", color="black", weight=3]; 53[label="Right xv300 == Right xv400",fontsize=16,color="black",shape="box"];53 -> 84[label="",style="solid", color="black", weight=3]; 54[label="xv300 : xv301 == xv400 : xv401",fontsize=16,color="black",shape="box"];54 -> 85[label="",style="solid", color="black", weight=3]; 55[label="xv300 : xv301 == []",fontsize=16,color="black",shape="box"];55 -> 86[label="",style="solid", color="black", weight=3]; 56[label="[] == xv400 : xv401",fontsize=16,color="black",shape="box"];56 -> 87[label="",style="solid", color="black", weight=3]; 57[label="[] == []",fontsize=16,color="black",shape="box"];57 -> 88[label="",style="solid", color="black", weight=3]; 58[label="(xv300,xv301,xv302) == (xv400,xv401,xv402)",fontsize=16,color="black",shape="box"];58 -> 89[label="",style="solid", color="black", weight=3]; 59[label="primEqDouble (Double xv300 xv301) xv40",fontsize=16,color="burlywood",shape="box"];686[label="xv40/Double xv400 xv401",fontsize=10,color="white",style="solid",shape="box"];59 -> 686[label="",style="solid", color="burlywood", weight=9]; 686 -> 90[label="",style="solid", color="burlywood", weight=3]; 60[label="primEqChar (Char xv300) xv40",fontsize=16,color="burlywood",shape="box"];687[label="xv40/Char xv400",fontsize=10,color="white",style="solid",shape="box"];60 -> 687[label="",style="solid", color="burlywood", weight=9]; 687 -> 91[label="",style="solid", color="burlywood", weight=3]; 61[label="LT == LT",fontsize=16,color="black",shape="box"];61 -> 92[label="",style="solid", color="black", weight=3]; 62[label="LT == EQ",fontsize=16,color="black",shape="box"];62 -> 93[label="",style="solid", color="black", weight=3]; 63[label="LT == GT",fontsize=16,color="black",shape="box"];63 -> 94[label="",style="solid", color="black", weight=3]; 64[label="EQ == LT",fontsize=16,color="black",shape="box"];64 -> 95[label="",style="solid", color="black", weight=3]; 65[label="EQ == EQ",fontsize=16,color="black",shape="box"];65 -> 96[label="",style="solid", color="black", weight=3]; 66[label="EQ == GT",fontsize=16,color="black",shape="box"];66 -> 97[label="",style="solid", color="black", weight=3]; 67[label="GT == LT",fontsize=16,color="black",shape="box"];67 -> 98[label="",style="solid", color="black", weight=3]; 68[label="GT == EQ",fontsize=16,color="black",shape="box"];68 -> 99[label="",style="solid", color="black", weight=3]; 69[label="GT == GT",fontsize=16,color="black",shape="box"];69 -> 100[label="",style="solid", color="black", weight=3]; 70[label="(xv300,xv301) == (xv400,xv401)",fontsize=16,color="black",shape="box"];70 -> 101[label="",style="solid", color="black", weight=3]; 71[label="False == False",fontsize=16,color="black",shape="box"];71 -> 102[label="",style="solid", color="black", weight=3]; 72[label="False == True",fontsize=16,color="black",shape="box"];72 -> 103[label="",style="solid", color="black", weight=3]; 73[label="True == False",fontsize=16,color="black",shape="box"];73 -> 104[label="",style="solid", color="black", weight=3]; 74[label="True == True",fontsize=16,color="black",shape="box"];74 -> 105[label="",style="solid", color="black", weight=3]; 75[label="Integer xv300 == Integer xv400",fontsize=16,color="black",shape="box"];75 -> 106[label="",style="solid", color="black", weight=3]; 76[label="primEqInt (Pos xv300) xv40",fontsize=16,color="burlywood",shape="box"];688[label="xv300/Succ xv3000",fontsize=10,color="white",style="solid",shape="box"];76 -> 688[label="",style="solid", color="burlywood", weight=9]; 688 -> 107[label="",style="solid", color="burlywood", weight=3]; 689[label="xv300/Zero",fontsize=10,color="white",style="solid",shape="box"];76 -> 689[label="",style="solid", color="burlywood", weight=9]; 689 -> 108[label="",style="solid", color="burlywood", weight=3]; 77[label="primEqInt (Neg xv300) 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xv401",fontsize=16,color="magenta"];80 -> 178[label="",style="dashed", color="magenta", weight=3]; 80 -> 179[label="",style="dashed", color="magenta", weight=3]; 81[label="xv300 == xv400",fontsize=16,color="blue",shape="box"];693[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];81 -> 693[label="",style="solid", color="blue", weight=9]; 693 -> 123[label="",style="solid", color="blue", weight=3]; 694[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];81 -> 694[label="",style="solid", color="blue", weight=9]; 694 -> 124[label="",style="solid", color="blue", weight=3]; 695[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];81 -> 695[label="",style="solid", color="blue", weight=9]; 695 -> 125[label="",style="solid", color="blue", weight=3]; 696[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];81 -> 696[label="",style="solid", color="blue", weight=9]; 696 -> 126[label="",style="solid", color="blue", weight=3]; 697[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];81 -> 697[label="",style="solid", color="blue", weight=9]; 697 -> 127[label="",style="solid", color="blue", weight=3]; 698[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];81 -> 698[label="",style="solid", color="blue", weight=9]; 698 -> 128[label="",style="solid", color="blue", weight=3]; 699[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];81 -> 699[label="",style="solid", color="blue", weight=9]; 699 -> 129[label="",style="solid", color="blue", weight=3]; 700[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];81 -> 700[label="",style="solid", color="blue", weight=9]; 700 -> 130[label="",style="solid", color="blue", weight=3]; 701[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];81 -> 701[label="",style="solid", color="blue", weight=9]; 701 -> 131[label="",style="solid", color="blue", weight=3]; 702[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];81 -> 702[label="",style="solid", color="blue", weight=9]; 702 -> 132[label="",style="solid", color="blue", weight=3]; 703[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];81 -> 703[label="",style="solid", color="blue", weight=9]; 703 -> 133[label="",style="solid", color="blue", weight=3]; 704[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];81 -> 704[label="",style="solid", color="blue", weight=9]; 704 -> 134[label="",style="solid", color="blue", weight=3]; 705[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];81 -> 705[label="",style="solid", color="blue", weight=9]; 705 -> 135[label="",style="solid", color="blue", weight=3]; 706[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];81 -> 706[label="",style="solid", color="blue", weight=9]; 706 -> 136[label="",style="solid", color="blue", weight=3]; 82[label="False",fontsize=16,color="green",shape="box"];83[label="False",fontsize=16,color="green",shape="box"];84[label="xv300 == xv400",fontsize=16,color="blue",shape="box"];707[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];84 -> 707[label="",style="solid", color="blue", weight=9]; 707 -> 137[label="",style="solid", color="blue", weight=3]; 708[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];84 -> 708[label="",style="solid", color="blue", weight=9]; 708 -> 138[label="",style="solid", color="blue", weight=3]; 709[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];84 -> 709[label="",style="solid", color="blue", weight=9]; 709 -> 139[label="",style="solid", color="blue", weight=3]; 710[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];84 -> 710[label="",style="solid", color="blue", weight=9]; 710 -> 140[label="",style="solid", color="blue", weight=3]; 711[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];84 -> 711[label="",style="solid", color="blue", weight=9]; 711 -> 141[label="",style="solid", color="blue", weight=3]; 712[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];84 -> 712[label="",style="solid", color="blue", weight=9]; 712 -> 142[label="",style="solid", color="blue", weight=3]; 713[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];84 -> 713[label="",style="solid", color="blue", weight=9]; 713 -> 143[label="",style="solid", color="blue", weight=3]; 714[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];84 -> 714[label="",style="solid", color="blue", weight=9]; 714 -> 144[label="",style="solid", color="blue", weight=3]; 715[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];84 -> 715[label="",style="solid", color="blue", weight=9]; 715 -> 145[label="",style="solid", color="blue", weight=3]; 716[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];84 -> 716[label="",style="solid", color="blue", weight=9]; 716 -> 146[label="",style="solid", color="blue", weight=3]; 717[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];84 -> 717[label="",style="solid", color="blue", weight=9]; 717 -> 147[label="",style="solid", color="blue", weight=3]; 718[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];84 -> 718[label="",style="solid", color="blue", weight=9]; 718 -> 148[label="",style="solid", color="blue", weight=3]; 719[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];84 -> 719[label="",style="solid", color="blue", weight=9]; 719 -> 149[label="",style="solid", color="blue", weight=3]; 720[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];84 -> 720[label="",style="solid", color="blue", weight=9]; 720 -> 150[label="",style="solid", color="blue", weight=3]; 85 -> 177[label="",style="dashed", color="red", weight=0]; 85[label="xv300 == xv400 && xv301 == xv401",fontsize=16,color="magenta"];85 -> 180[label="",style="dashed", color="magenta", weight=3]; 85 -> 181[label="",style="dashed", color="magenta", weight=3]; 86[label="False",fontsize=16,color="green",shape="box"];87[label="False",fontsize=16,color="green",shape="box"];88[label="True",fontsize=16,color="green",shape="box"];89 -> 177[label="",style="dashed", color="red", weight=0]; 89[label="xv300 == xv400 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92[label="True",fontsize=16,color="green",shape="box"];93[label="False",fontsize=16,color="green",shape="box"];94[label="False",fontsize=16,color="green",shape="box"];95[label="False",fontsize=16,color="green",shape="box"];96[label="True",fontsize=16,color="green",shape="box"];97[label="False",fontsize=16,color="green",shape="box"];98[label="False",fontsize=16,color="green",shape="box"];99[label="False",fontsize=16,color="green",shape="box"];100[label="True",fontsize=16,color="green",shape="box"];101 -> 177[label="",style="dashed", color="red", weight=0]; 101[label="xv300 == xv400 && xv301 == xv401",fontsize=16,color="magenta"];101 -> 184[label="",style="dashed", color="magenta", weight=3]; 101 -> 185[label="",style="dashed", color="magenta", weight=3]; 102[label="True",fontsize=16,color="green",shape="box"];103[label="False",fontsize=16,color="green",shape="box"];104[label="False",fontsize=16,color="green",shape="box"];105[label="True",fontsize=16,color="green",shape="box"];106 -> 46[label="",style="dashed", color="red", weight=0]; 106[label="primEqInt xv300 xv400",fontsize=16,color="magenta"];106 -> 164[label="",style="dashed", color="magenta", weight=3]; 106 -> 165[label="",style="dashed", color="magenta", weight=3]; 107[label="primEqInt (Pos (Succ xv3000)) xv40",fontsize=16,color="burlywood",shape="box"];721[label="xv40/Pos xv400",fontsize=10,color="white",style="solid",shape="box"];107 -> 721[label="",style="solid", color="burlywood", weight=9]; 721 -> 166[label="",style="solid", color="burlywood", weight=3]; 722[label="xv40/Neg xv400",fontsize=10,color="white",style="solid",shape="box"];107 -> 722[label="",style="solid", color="burlywood", weight=9]; 722 -> 167[label="",style="solid", color="burlywood", weight=3]; 108[label="primEqInt (Pos Zero) xv40",fontsize=16,color="burlywood",shape="box"];723[label="xv40/Pos xv400",fontsize=10,color="white",style="solid",shape="box"];108 -> 723[label="",style="solid", color="burlywood", weight=9]; 723 -> 168[label="",style="solid", color="burlywood", weight=3]; 724[label="xv40/Neg xv400",fontsize=10,color="white",style="solid",shape="box"];108 -> 724[label="",style="solid", color="burlywood", weight=9]; 724 -> 169[label="",style="solid", color="burlywood", weight=3]; 109[label="primEqInt (Neg (Succ xv3000)) xv40",fontsize=16,color="burlywood",shape="box"];725[label="xv40/Pos xv400",fontsize=10,color="white",style="solid",shape="box"];109 -> 725[label="",style="solid", color="burlywood", weight=9]; 725 -> 170[label="",style="solid", color="burlywood", weight=3]; 726[label="xv40/Neg xv400",fontsize=10,color="white",style="solid",shape="box"];109 -> 726[label="",style="solid", color="burlywood", weight=9]; 726 -> 171[label="",style="solid", color="burlywood", weight=3]; 110[label="primEqInt (Neg Zero) xv40",fontsize=16,color="burlywood",shape="box"];727[label="xv40/Pos xv400",fontsize=10,color="white",style="solid",shape="box"];110 -> 727[label="",style="solid", color="burlywood", weight=9]; 727 -> 172[label="",style="solid", color="burlywood", weight=3]; 728[label="xv40/Neg xv400",fontsize=10,color="white",style="solid",shape="box"];110 -> 728[label="",style="solid", color="burlywood", weight=9]; 728 -> 173[label="",style="solid", color="burlywood", weight=3]; 111[label="True",fontsize=16,color="green",shape="box"];112[label="primEqFloat (Float xv300 xv301) (Float xv400 xv401)",fontsize=16,color="black",shape="box"];112 -> 174[label="",style="solid", color="black", weight=3]; 178[label="xv301 == xv401",fontsize=16,color="blue",shape="box"];729[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];178 -> 729[label="",style="solid", color="blue", weight=9]; 729 -> 190[label="",style="solid", color="blue", weight=3]; 730[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];178 -> 730[label="",style="solid", color="blue", weight=9]; 730 -> 191[label="",style="solid", color="blue", weight=3]; 179[label="xv300 == xv400",fontsize=16,color="blue",shape="box"];731[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];179 -> 731[label="",style="solid", color="blue", weight=9]; 731 -> 192[label="",style="solid", color="blue", weight=3]; 732[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];179 -> 732[label="",style="solid", color="blue", weight=9]; 732 -> 193[label="",style="solid", color="blue", weight=3]; 177[label="xv16 && xv17",fontsize=16,color="burlywood",shape="triangle"];733[label="xv16/False",fontsize=10,color="white",style="solid",shape="box"];177 -> 733[label="",style="solid", color="burlywood", weight=9]; 733 -> 194[label="",style="solid", color="burlywood", weight=3]; 734[label="xv16/True",fontsize=10,color="white",style="solid",shape="box"];177 -> 734[label="",style="solid", color="burlywood", weight=9]; 734 -> 195[label="",style="solid", color="burlywood", weight=3]; 123 -> 4[label="",style="dashed", color="red", weight=0]; 123[label="xv300 == xv400",fontsize=16,color="magenta"];123 -> 196[label="",style="dashed", color="magenta", weight=3]; 123 -> 197[label="",style="dashed", color="magenta", weight=3]; 124 -> 16[label="",style="dashed", color="red", weight=0]; 124[label="xv300 == xv400",fontsize=16,color="magenta"];124 -> 198[label="",style="dashed", color="magenta", weight=3]; 124 -> 199[label="",style="dashed", color="magenta", weight=3]; 125 -> 17[label="",style="dashed", color="red", weight=0]; 125[label="xv300 == xv400",fontsize=16,color="magenta"];125 -> 200[label="",style="dashed", color="magenta", weight=3]; 125 -> 201[label="",style="dashed", color="magenta", weight=3]; 126 -> 18[label="",style="dashed", color="red", weight=0]; 126[label="xv300 == xv400",fontsize=16,color="magenta"];126 -> 202[label="",style="dashed", color="magenta", weight=3]; 126 -> 203[label="",style="dashed", color="magenta", weight=3]; 127 -> 19[label="",style="dashed", color="red", weight=0]; 127[label="xv300 == xv400",fontsize=16,color="magenta"];127 -> 204[label="",style="dashed", color="magenta", weight=3]; 127 -> 205[label="",style="dashed", color="magenta", weight=3]; 128 -> 20[label="",style="dashed", color="red", weight=0]; 128[label="xv300 == xv400",fontsize=16,color="magenta"];128 -> 206[label="",style="dashed", color="magenta", weight=3]; 128 -> 207[label="",style="dashed", color="magenta", weight=3]; 129 -> 21[label="",style="dashed", color="red", weight=0]; 129[label="xv300 == xv400",fontsize=16,color="magenta"];129 -> 208[label="",style="dashed", color="magenta", weight=3]; 129 -> 209[label="",style="dashed", color="magenta", weight=3]; 130 -> 22[label="",style="dashed", color="red", weight=0]; 130[label="xv300 == xv400",fontsize=16,color="magenta"];130 -> 210[label="",style="dashed", color="magenta", weight=3]; 130 -> 211[label="",style="dashed", color="magenta", weight=3]; 131 -> 23[label="",style="dashed", color="red", weight=0]; 131[label="xv300 == xv400",fontsize=16,color="magenta"];131 -> 212[label="",style="dashed", color="magenta", weight=3]; 131 -> 213[label="",style="dashed", color="magenta", weight=3]; 132 -> 24[label="",style="dashed", color="red", weight=0]; 132[label="xv300 == xv400",fontsize=16,color="magenta"];132 -> 214[label="",style="dashed", color="magenta", weight=3]; 132 -> 215[label="",style="dashed", color="magenta", weight=3]; 133 -> 25[label="",style="dashed", color="red", weight=0]; 133[label="xv300 == xv400",fontsize=16,color="magenta"];133 -> 216[label="",style="dashed", color="magenta", weight=3]; 133 -> 217[label="",style="dashed", color="magenta", weight=3]; 134 -> 26[label="",style="dashed", color="red", weight=0]; 134[label="xv300 == xv400",fontsize=16,color="magenta"];134 -> 218[label="",style="dashed", color="magenta", weight=3]; 134 -> 219[label="",style="dashed", color="magenta", weight=3]; 135 -> 27[label="",style="dashed", color="red", weight=0]; 135[label="xv300 == xv400",fontsize=16,color="magenta"];135 -> 220[label="",style="dashed", color="magenta", weight=3]; 135 -> 221[label="",style="dashed", color="magenta", weight=3]; 136 -> 28[label="",style="dashed", color="red", weight=0]; 136[label="xv300 == xv400",fontsize=16,color="magenta"];136 -> 222[label="",style="dashed", color="magenta", weight=3]; 136 -> 223[label="",style="dashed", color="magenta", weight=3]; 137 -> 4[label="",style="dashed", color="red", weight=0]; 137[label="xv300 == xv400",fontsize=16,color="magenta"];137 -> 224[label="",style="dashed", color="magenta", weight=3]; 137 -> 225[label="",style="dashed", color="magenta", weight=3]; 138 -> 16[label="",style="dashed", color="red", weight=0]; 138[label="xv300 == xv400",fontsize=16,color="magenta"];138 -> 226[label="",style="dashed", color="magenta", weight=3]; 138 -> 227[label="",style="dashed", color="magenta", weight=3]; 139 -> 17[label="",style="dashed", color="red", weight=0]; 139[label="xv300 == xv400",fontsize=16,color="magenta"];139 -> 228[label="",style="dashed", color="magenta", weight=3]; 139 -> 229[label="",style="dashed", color="magenta", weight=3]; 140 -> 18[label="",style="dashed", color="red", weight=0]; 140[label="xv300 == xv400",fontsize=16,color="magenta"];140 -> 230[label="",style="dashed", color="magenta", weight=3]; 140 -> 231[label="",style="dashed", color="magenta", weight=3]; 141 -> 19[label="",style="dashed", color="red", weight=0]; 141[label="xv300 == xv400",fontsize=16,color="magenta"];141 -> 232[label="",style="dashed", color="magenta", weight=3]; 141 -> 233[label="",style="dashed", color="magenta", weight=3]; 142 -> 20[label="",style="dashed", color="red", weight=0]; 142[label="xv300 == xv400",fontsize=16,color="magenta"];142 -> 234[label="",style="dashed", color="magenta", weight=3]; 142 -> 235[label="",style="dashed", color="magenta", weight=3]; 143 -> 21[label="",style="dashed", color="red", weight=0]; 143[label="xv300 == xv400",fontsize=16,color="magenta"];143 -> 236[label="",style="dashed", color="magenta", weight=3]; 143 -> 237[label="",style="dashed", color="magenta", weight=3]; 144 -> 22[label="",style="dashed", color="red", weight=0]; 144[label="xv300 == xv400",fontsize=16,color="magenta"];144 -> 238[label="",style="dashed", color="magenta", weight=3]; 144 -> 239[label="",style="dashed", color="magenta", weight=3]; 145 -> 23[label="",style="dashed", color="red", weight=0]; 145[label="xv300 == xv400",fontsize=16,color="magenta"];145 -> 240[label="",style="dashed", color="magenta", weight=3]; 145 -> 241[label="",style="dashed", color="magenta", weight=3]; 146 -> 24[label="",style="dashed", color="red", weight=0]; 146[label="xv300 == xv400",fontsize=16,color="magenta"];146 -> 242[label="",style="dashed", color="magenta", weight=3]; 146 -> 243[label="",style="dashed", color="magenta", weight=3]; 147 -> 25[label="",style="dashed", color="red", weight=0]; 147[label="xv300 == xv400",fontsize=16,color="magenta"];147 -> 244[label="",style="dashed", color="magenta", weight=3]; 147 -> 245[label="",style="dashed", color="magenta", weight=3]; 148 -> 26[label="",style="dashed", color="red", weight=0]; 148[label="xv300 == xv400",fontsize=16,color="magenta"];148 -> 246[label="",style="dashed", color="magenta", weight=3]; 148 -> 247[label="",style="dashed", color="magenta", weight=3]; 149 -> 27[label="",style="dashed", color="red", weight=0]; 149[label="xv300 == xv400",fontsize=16,color="magenta"];149 -> 248[label="",style="dashed", color="magenta", weight=3]; 149 -> 249[label="",style="dashed", color="magenta", weight=3]; 150 -> 28[label="",style="dashed", color="red", weight=0]; 150[label="xv300 == xv400",fontsize=16,color="magenta"];150 -> 250[label="",style="dashed", color="magenta", weight=3]; 150 -> 251[label="",style="dashed", color="magenta", weight=3]; 180 -> 18[label="",style="dashed", color="red", weight=0]; 180[label="xv301 == xv401",fontsize=16,color="magenta"];180 -> 252[label="",style="dashed", color="magenta", weight=3]; 180 -> 253[label="",style="dashed", color="magenta", weight=3]; 181[label="xv300 == xv400",fontsize=16,color="blue",shape="box"];735[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];181 -> 735[label="",style="solid", color="blue", weight=9]; 735 -> 254[label="",style="solid", color="blue", weight=3]; 736[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];181 -> 736[label="",style="solid", color="blue", weight=9]; 736 -> 255[label="",style="solid", color="blue", weight=3]; 737[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];181 -> 737[label="",style="solid", color="blue", weight=9]; 737 -> 256[label="",style="solid", color="blue", weight=3]; 738[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];181 -> 738[label="",style="solid", color="blue", weight=9]; 738 -> 257[label="",style="solid", color="blue", weight=3]; 739[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];181 -> 739[label="",style="solid", color="blue", weight=9]; 739 -> 258[label="",style="solid", color="blue", weight=3]; 740[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];181 -> 740[label="",style="solid", color="blue", weight=9]; 740 -> 259[label="",style="solid", color="blue", weight=3]; 741[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];181 -> 741[label="",style="solid", color="blue", weight=9]; 741 -> 260[label="",style="solid", color="blue", weight=3]; 742[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];181 -> 742[label="",style="solid", color="blue", weight=9]; 742 -> 261[label="",style="solid", color="blue", weight=3]; 743[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];181 -> 743[label="",style="solid", color="blue", weight=9]; 743 -> 262[label="",style="solid", color="blue", weight=3]; 744[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];181 -> 744[label="",style="solid", color="blue", weight=9]; 744 -> 263[label="",style="solid", color="blue", weight=3]; 745[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];181 -> 745[label="",style="solid", color="blue", weight=9]; 745 -> 264[label="",style="solid", color="blue", weight=3]; 746[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];181 -> 746[label="",style="solid", color="blue", weight=9]; 746 -> 265[label="",style="solid", color="blue", weight=3]; 747[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];181 -> 747[label="",style="solid", color="blue", weight=9]; 747 -> 266[label="",style="solid", color="blue", weight=3]; 748[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];181 -> 748[label="",style="solid", color="blue", weight=9]; 748 -> 267[label="",style="solid", color="blue", weight=3]; 182 -> 177[label="",style="dashed", color="red", weight=0]; 182[label="xv301 == xv401 && xv302 == xv402",fontsize=16,color="magenta"];182 -> 268[label="",style="dashed", color="magenta", weight=3]; 182 -> 269[label="",style="dashed", color="magenta", weight=3]; 183[label="xv300 == xv400",fontsize=16,color="blue",shape="box"];749[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];183 -> 749[label="",style="solid", color="blue", weight=9]; 749 -> 270[label="",style="solid", color="blue", weight=3]; 750[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];183 -> 750[label="",style="solid", color="blue", weight=9]; 750 -> 271[label="",style="solid", color="blue", weight=3]; 751[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];183 -> 751[label="",style="solid", color="blue", weight=9]; 751 -> 272[label="",style="solid", color="blue", weight=3]; 752[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];183 -> 752[label="",style="solid", color="blue", weight=9]; 752 -> 273[label="",style="solid", color="blue", weight=3]; 753[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];183 -> 753[label="",style="solid", color="blue", weight=9]; 753 -> 274[label="",style="solid", color="blue", weight=3]; 754[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];183 -> 754[label="",style="solid", color="blue", weight=9]; 754 -> 275[label="",style="solid", color="blue", weight=3]; 755[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];183 -> 755[label="",style="solid", color="blue", weight=9]; 755 -> 276[label="",style="solid", color="blue", weight=3]; 756[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];183 -> 756[label="",style="solid", color="blue", weight=9]; 756 -> 277[label="",style="solid", color="blue", weight=3]; 757[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];183 -> 757[label="",style="solid", color="blue", weight=9]; 757 -> 278[label="",style="solid", color="blue", weight=3]; 758[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];183 -> 758[label="",style="solid", color="blue", weight=9]; 758 -> 279[label="",style="solid", color="blue", weight=3]; 759[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];183 -> 759[label="",style="solid", color="blue", weight=9]; 759 -> 280[label="",style="solid", color="blue", weight=3]; 760[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];183 -> 760[label="",style="solid", color="blue", weight=9]; 760 -> 281[label="",style="solid", color="blue", weight=3]; 761[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];183 -> 761[label="",style="solid", color="blue", weight=9]; 761 -> 282[label="",style="solid", color="blue", weight=3]; 762[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];183 -> 762[label="",style="solid", color="blue", weight=9]; 762 -> 283[label="",style="solid", color="blue", weight=3]; 162 -> 26[label="",style="dashed", color="red", weight=0]; 162[label="xv300 * xv401 == xv301 * xv400",fontsize=16,color="magenta"];162 -> 284[label="",style="dashed", color="magenta", weight=3]; 162 -> 285[label="",style="dashed", color="magenta", weight=3]; 163[label="primEqNat xv300 xv400",fontsize=16,color="burlywood",shape="triangle"];763[label="xv300/Succ xv3000",fontsize=10,color="white",style="solid",shape="box"];163 -> 763[label="",style="solid", color="burlywood", weight=9]; 763 -> 286[label="",style="solid", color="burlywood", weight=3]; 764[label="xv300/Zero",fontsize=10,color="white",style="solid",shape="box"];163 -> 764[label="",style="solid", color="burlywood", weight=9]; 764 -> 287[label="",style="solid", color="burlywood", weight=3]; 184[label="xv301 == xv401",fontsize=16,color="blue",shape="box"];765[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];184 -> 765[label="",style="solid", color="blue", weight=9]; 765 -> 288[label="",style="solid", color="blue", weight=3]; 766[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];184 -> 766[label="",style="solid", color="blue", weight=9]; 766 -> 289[label="",style="solid", color="blue", weight=3]; 767[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];184 -> 767[label="",style="solid", color="blue", weight=9]; 767 -> 290[label="",style="solid", color="blue", weight=3]; 768[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];184 -> 768[label="",style="solid", color="blue", weight=9]; 768 -> 291[label="",style="solid", color="blue", weight=3]; 769[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];184 -> 769[label="",style="solid", color="blue", weight=9]; 769 -> 292[label="",style="solid", color="blue", weight=3]; 770[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];184 -> 770[label="",style="solid", color="blue", weight=9]; 770 -> 293[label="",style="solid", color="blue", weight=3]; 771[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];184 -> 771[label="",style="solid", color="blue", weight=9]; 771 -> 294[label="",style="solid", color="blue", weight=3]; 772[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];184 -> 772[label="",style="solid", color="blue", weight=9]; 772 -> 295[label="",style="solid", color="blue", weight=3]; 773[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];184 -> 773[label="",style="solid", color="blue", weight=9]; 773 -> 296[label="",style="solid", color="blue", weight=3]; 774[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];184 -> 774[label="",style="solid", color="blue", weight=9]; 774 -> 297[label="",style="solid", color="blue", weight=3]; 775[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];184 -> 775[label="",style="solid", color="blue", weight=9]; 775 -> 298[label="",style="solid", color="blue", weight=3]; 776[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];184 -> 776[label="",style="solid", color="blue", weight=9]; 776 -> 299[label="",style="solid", color="blue", weight=3]; 777[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];184 -> 777[label="",style="solid", color="blue", weight=9]; 777 -> 300[label="",style="solid", color="blue", weight=3]; 778[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];184 -> 778[label="",style="solid", color="blue", weight=9]; 778 -> 301[label="",style="solid", color="blue", weight=3]; 185[label="xv300 == xv400",fontsize=16,color="blue",shape="box"];779[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];185 -> 779[label="",style="solid", color="blue", weight=9]; 779 -> 302[label="",style="solid", color="blue", weight=3]; 780[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];185 -> 780[label="",style="solid", color="blue", weight=9]; 780 -> 303[label="",style="solid", color="blue", weight=3]; 781[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];185 -> 781[label="",style="solid", color="blue", weight=9]; 781 -> 304[label="",style="solid", color="blue", weight=3]; 782[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];185 -> 782[label="",style="solid", color="blue", weight=9]; 782 -> 305[label="",style="solid", color="blue", weight=3]; 783[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];185 -> 783[label="",style="solid", color="blue", weight=9]; 783 -> 306[label="",style="solid", color="blue", weight=3]; 784[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];185 -> 784[label="",style="solid", color="blue", weight=9]; 784 -> 307[label="",style="solid", color="blue", weight=3]; 785[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];185 -> 785[label="",style="solid", color="blue", weight=9]; 785 -> 308[label="",style="solid", color="blue", weight=3]; 786[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];185 -> 786[label="",style="solid", color="blue", weight=9]; 786 -> 309[label="",style="solid", color="blue", weight=3]; 787[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];185 -> 787[label="",style="solid", color="blue", weight=9]; 787 -> 310[label="",style="solid", color="blue", weight=3]; 788[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];185 -> 788[label="",style="solid", color="blue", weight=9]; 788 -> 311[label="",style="solid", color="blue", weight=3]; 789[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];185 -> 789[label="",style="solid", color="blue", weight=9]; 789 -> 312[label="",style="solid", color="blue", weight=3]; 790[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];185 -> 790[label="",style="solid", color="blue", weight=9]; 790 -> 313[label="",style="solid", color="blue", weight=3]; 791[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];185 -> 791[label="",style="solid", color="blue", weight=9]; 791 -> 314[label="",style="solid", color="blue", weight=3]; 792[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];185 -> 792[label="",style="solid", color="blue", weight=9]; 792 -> 315[label="",style="solid", color="blue", weight=3]; 164[label="xv300",fontsize=16,color="green",shape="box"];165[label="xv400",fontsize=16,color="green",shape="box"];166[label="primEqInt (Pos (Succ xv3000)) (Pos xv400)",fontsize=16,color="burlywood",shape="box"];793[label="xv400/Succ xv4000",fontsize=10,color="white",style="solid",shape="box"];166 -> 793[label="",style="solid", color="burlywood", weight=9]; 793 -> 316[label="",style="solid", color="burlywood", weight=3]; 794[label="xv400/Zero",fontsize=10,color="white",style="solid",shape="box"];166 -> 794[label="",style="solid", color="burlywood", weight=9]; 794 -> 317[label="",style="solid", color="burlywood", weight=3]; 167[label="primEqInt (Pos (Succ xv3000)) (Neg xv400)",fontsize=16,color="black",shape="box"];167 -> 318[label="",style="solid", color="black", weight=3]; 168[label="primEqInt (Pos Zero) (Pos xv400)",fontsize=16,color="burlywood",shape="box"];795[label="xv400/Succ xv4000",fontsize=10,color="white",style="solid",shape="box"];168 -> 795[label="",style="solid", color="burlywood", weight=9]; 795 -> 319[label="",style="solid", color="burlywood", weight=3]; 796[label="xv400/Zero",fontsize=10,color="white",style="solid",shape="box"];168 -> 796[label="",style="solid", color="burlywood", weight=9]; 796 -> 320[label="",style="solid", color="burlywood", weight=3]; 169[label="primEqInt (Pos Zero) (Neg xv400)",fontsize=16,color="burlywood",shape="box"];797[label="xv400/Succ xv4000",fontsize=10,color="white",style="solid",shape="box"];169 -> 797[label="",style="solid", color="burlywood", weight=9]; 797 -> 321[label="",style="solid", color="burlywood", weight=3]; 798[label="xv400/Zero",fontsize=10,color="white",style="solid",shape="box"];169 -> 798[label="",style="solid", color="burlywood", weight=9]; 798 -> 322[label="",style="solid", color="burlywood", weight=3]; 170[label="primEqInt (Neg (Succ xv3000)) (Pos xv400)",fontsize=16,color="black",shape="box"];170 -> 323[label="",style="solid", color="black", weight=3]; 171[label="primEqInt (Neg (Succ xv3000)) (Neg xv400)",fontsize=16,color="burlywood",shape="box"];799[label="xv400/Succ xv4000",fontsize=10,color="white",style="solid",shape="box"];171 -> 799[label="",style="solid", color="burlywood", weight=9]; 799 -> 324[label="",style="solid", color="burlywood", weight=3]; 800[label="xv400/Zero",fontsize=10,color="white",style="solid",shape="box"];171 -> 800[label="",style="solid", color="burlywood", weight=9]; 800 -> 325[label="",style="solid", color="burlywood", weight=3]; 172[label="primEqInt (Neg Zero) (Pos xv400)",fontsize=16,color="burlywood",shape="box"];801[label="xv400/Succ xv4000",fontsize=10,color="white",style="solid",shape="box"];172 -> 801[label="",style="solid", color="burlywood", weight=9]; 801 -> 326[label="",style="solid", color="burlywood", weight=3]; 802[label="xv400/Zero",fontsize=10,color="white",style="solid",shape="box"];172 -> 802[label="",style="solid", color="burlywood", weight=9]; 802 -> 327[label="",style="solid", color="burlywood", weight=3]; 173[label="primEqInt (Neg Zero) (Neg xv400)",fontsize=16,color="burlywood",shape="box"];803[label="xv400/Succ xv4000",fontsize=10,color="white",style="solid",shape="box"];173 -> 803[label="",style="solid", color="burlywood", weight=9]; 803 -> 328[label="",style="solid", color="burlywood", weight=3]; 804[label="xv400/Zero",fontsize=10,color="white",style="solid",shape="box"];173 -> 804[label="",style="solid", color="burlywood", weight=9]; 804 -> 329[label="",style="solid", color="burlywood", weight=3]; 174 -> 26[label="",style="dashed", color="red", weight=0]; 174[label="xv300 * xv401 == xv301 * xv400",fontsize=16,color="magenta"];174 -> 330[label="",style="dashed", color="magenta", weight=3]; 174 -> 331[label="",style="dashed", color="magenta", weight=3]; 190 -> 25[label="",style="dashed", color="red", weight=0]; 190[label="xv301 == xv401",fontsize=16,color="magenta"];190 -> 332[label="",style="dashed", color="magenta", weight=3]; 190 -> 333[label="",style="dashed", color="magenta", weight=3]; 191 -> 26[label="",style="dashed", color="red", weight=0]; 191[label="xv301 == xv401",fontsize=16,color="magenta"];191 -> 334[label="",style="dashed", color="magenta", weight=3]; 191 -> 335[label="",style="dashed", color="magenta", weight=3]; 192 -> 25[label="",style="dashed", color="red", weight=0]; 192[label="xv300 == xv400",fontsize=16,color="magenta"];192 -> 336[label="",style="dashed", color="magenta", weight=3]; 192 -> 337[label="",style="dashed", color="magenta", weight=3]; 193 -> 26[label="",style="dashed", color="red", weight=0]; 193[label="xv300 == xv400",fontsize=16,color="magenta"];193 -> 338[label="",style="dashed", color="magenta", weight=3]; 193 -> 339[label="",style="dashed", color="magenta", weight=3]; 194[label="False && xv17",fontsize=16,color="black",shape="box"];194 -> 340[label="",style="solid", color="black", weight=3]; 195[label="True && xv17",fontsize=16,color="black",shape="box"];195 -> 341[label="",style="solid", color="black", weight=3]; 196[label="xv300",fontsize=16,color="green",shape="box"];197[label="xv400",fontsize=16,color="green",shape="box"];198[label="xv300",fontsize=16,color="green",shape="box"];199[label="xv400",fontsize=16,color="green",shape="box"];200[label="xv300",fontsize=16,color="green",shape="box"];201[label="xv400",fontsize=16,color="green",shape="box"];202[label="xv300",fontsize=16,color="green",shape="box"];203[label="xv400",fontsize=16,color="green",shape="box"];204[label="xv300",fontsize=16,color="green",shape="box"];205[label="xv400",fontsize=16,color="green",shape="box"];206[label="xv300",fontsize=16,color="green",shape="box"];207[label="xv400",fontsize=16,color="green",shape="box"];208[label="xv300",fontsize=16,color="green",shape="box"];209[label="xv400",fontsize=16,color="green",shape="box"];210[label="xv300",fontsize=16,color="green",shape="box"];211[label="xv400",fontsize=16,color="green",shape="box"];212[label="xv300",fontsize=16,color="green",shape="box"];213[label="xv400",fontsize=16,color="green",shape="box"];214[label="xv300",fontsize=16,color="green",shape="box"];215[label="xv400",fontsize=16,color="green",shape="box"];216[label="xv300",fontsize=16,color="green",shape="box"];217[label="xv400",fontsize=16,color="green",shape="box"];218[label="xv300",fontsize=16,color="green",shape="box"];219[label="xv400",fontsize=16,color="green",shape="box"];220[label="xv300",fontsize=16,color="green",shape="box"];221[label="xv400",fontsize=16,color="green",shape="box"];222[label="xv300",fontsize=16,color="green",shape="box"];223[label="xv400",fontsize=16,color="green",shape="box"];224[label="xv300",fontsize=16,color="green",shape="box"];225[label="xv400",fontsize=16,color="green",shape="box"];226[label="xv300",fontsize=16,color="green",shape="box"];227[label="xv400",fontsize=16,color="green",shape="box"];228[label="xv300",fontsize=16,color="green",shape="box"];229[label="xv400",fontsize=16,color="green",shape="box"];230[label="xv300",fontsize=16,color="green",shape="box"];231[label="xv400",fontsize=16,color="green",shape="box"];232[label="xv300",fontsize=16,color="green",shape="box"];233[label="xv400",fontsize=16,color="green",shape="box"];234[label="xv300",fontsize=16,color="green",shape="box"];235[label="xv400",fontsize=16,color="green",shape="box"];236[label="xv300",fontsize=16,color="green",shape="box"];237[label="xv400",fontsize=16,color="green",shape="box"];238[label="xv300",fontsize=16,color="green",shape="box"];239[label="xv400",fontsize=16,color="green",shape="box"];240[label="xv300",fontsize=16,color="green",shape="box"];241[label="xv400",fontsize=16,color="green",shape="box"];242[label="xv300",fontsize=16,color="green",shape="box"];243[label="xv400",fontsize=16,color="green",shape="box"];244[label="xv300",fontsize=16,color="green",shape="box"];245[label="xv400",fontsize=16,color="green",shape="box"];246[label="xv300",fontsize=16,color="green",shape="box"];247[label="xv400",fontsize=16,color="green",shape="box"];248[label="xv300",fontsize=16,color="green",shape="box"];249[label="xv400",fontsize=16,color="green",shape="box"];250[label="xv300",fontsize=16,color="green",shape="box"];251[label="xv400",fontsize=16,color="green",shape="box"];252[label="xv301",fontsize=16,color="green",shape="box"];253[label="xv401",fontsize=16,color="green",shape="box"];254 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19[label="",style="dashed", color="red", weight=0]; 258[label="xv300 == xv400",fontsize=16,color="magenta"];258 -> 350[label="",style="dashed", color="magenta", weight=3]; 258 -> 351[label="",style="dashed", color="magenta", weight=3]; 259 -> 20[label="",style="dashed", color="red", weight=0]; 259[label="xv300 == xv400",fontsize=16,color="magenta"];259 -> 352[label="",style="dashed", color="magenta", weight=3]; 259 -> 353[label="",style="dashed", color="magenta", weight=3]; 260 -> 21[label="",style="dashed", color="red", weight=0]; 260[label="xv300 == xv400",fontsize=16,color="magenta"];260 -> 354[label="",style="dashed", color="magenta", weight=3]; 260 -> 355[label="",style="dashed", color="magenta", weight=3]; 261 -> 22[label="",style="dashed", color="red", weight=0]; 261[label="xv300 == xv400",fontsize=16,color="magenta"];261 -> 356[label="",style="dashed", color="magenta", weight=3]; 261 -> 357[label="",style="dashed", color="magenta", weight=3]; 262 -> 23[label="",style="dashed", color="red", weight=0]; 262[label="xv300 == xv400",fontsize=16,color="magenta"];262 -> 358[label="",style="dashed", color="magenta", weight=3]; 262 -> 359[label="",style="dashed", color="magenta", weight=3]; 263 -> 24[label="",style="dashed", color="red", weight=0]; 263[label="xv300 == xv400",fontsize=16,color="magenta"];263 -> 360[label="",style="dashed", color="magenta", weight=3]; 263 -> 361[label="",style="dashed", color="magenta", weight=3]; 264 -> 25[label="",style="dashed", color="red", weight=0]; 264[label="xv300 == xv400",fontsize=16,color="magenta"];264 -> 362[label="",style="dashed", color="magenta", weight=3]; 264 -> 363[label="",style="dashed", color="magenta", weight=3]; 265 -> 26[label="",style="dashed", color="red", weight=0]; 265[label="xv300 == xv400",fontsize=16,color="magenta"];265 -> 364[label="",style="dashed", color="magenta", weight=3]; 265 -> 365[label="",style="dashed", color="magenta", weight=3]; 266 -> 27[label="",style="dashed", color="red", weight=0]; 266[label="xv300 == xv400",fontsize=16,color="magenta"];266 -> 366[label="",style="dashed", color="magenta", weight=3]; 266 -> 367[label="",style="dashed", color="magenta", weight=3]; 267 -> 28[label="",style="dashed", color="red", weight=0]; 267[label="xv300 == xv400",fontsize=16,color="magenta"];267 -> 368[label="",style="dashed", color="magenta", weight=3]; 267 -> 369[label="",style="dashed", color="magenta", weight=3]; 268[label="xv302 == xv402",fontsize=16,color="blue",shape="box"];805[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];268 -> 805[label="",style="solid", color="blue", weight=9]; 805 -> 370[label="",style="solid", color="blue", weight=3]; 806[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];268 -> 806[label="",style="solid", color="blue", weight=9]; 806 -> 371[label="",style="solid", color="blue", weight=3]; 807[label="== :: (Either a b) -> (Either a b) -> 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376[label="",style="solid", color="blue", weight=3]; 812[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];268 -> 812[label="",style="solid", color="blue", weight=9]; 812 -> 377[label="",style="solid", color="blue", weight=3]; 813[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];268 -> 813[label="",style="solid", color="blue", weight=9]; 813 -> 378[label="",style="solid", color="blue", weight=3]; 814[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];268 -> 814[label="",style="solid", color="blue", weight=9]; 814 -> 379[label="",style="solid", color="blue", weight=3]; 815[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];268 -> 815[label="",style="solid", color="blue", weight=9]; 815 -> 380[label="",style="solid", color="blue", weight=3]; 816[label="== :: Int -> Int -> 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820[label="",style="solid", color="blue", weight=9]; 820 -> 385[label="",style="solid", color="blue", weight=3]; 821[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];269 -> 821[label="",style="solid", color="blue", weight=9]; 821 -> 386[label="",style="solid", color="blue", weight=3]; 822[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];269 -> 822[label="",style="solid", color="blue", weight=9]; 822 -> 387[label="",style="solid", color="blue", weight=3]; 823[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];269 -> 823[label="",style="solid", color="blue", weight=9]; 823 -> 388[label="",style="solid", color="blue", weight=3]; 824[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];269 -> 824[label="",style="solid", color="blue", weight=9]; 824 -> 389[label="",style="solid", color="blue", weight=3]; 825[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];269 -> 825[label="",style="solid", color="blue", weight=9]; 825 -> 390[label="",style="solid", color="blue", weight=3]; 826[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];269 -> 826[label="",style="solid", color="blue", weight=9]; 826 -> 391[label="",style="solid", color="blue", weight=3]; 827[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];269 -> 827[label="",style="solid", color="blue", weight=9]; 827 -> 392[label="",style="solid", color="blue", weight=3]; 828[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];269 -> 828[label="",style="solid", color="blue", weight=9]; 828 -> 393[label="",style="solid", color="blue", weight=3]; 829[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];269 -> 829[label="",style="solid", 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275[label="xv300 == xv400",fontsize=16,color="magenta"];275 -> 408[label="",style="dashed", color="magenta", weight=3]; 275 -> 409[label="",style="dashed", color="magenta", weight=3]; 276 -> 21[label="",style="dashed", color="red", weight=0]; 276[label="xv300 == xv400",fontsize=16,color="magenta"];276 -> 410[label="",style="dashed", color="magenta", weight=3]; 276 -> 411[label="",style="dashed", color="magenta", weight=3]; 277 -> 22[label="",style="dashed", color="red", weight=0]; 277[label="xv300 == xv400",fontsize=16,color="magenta"];277 -> 412[label="",style="dashed", color="magenta", weight=3]; 277 -> 413[label="",style="dashed", color="magenta", weight=3]; 278 -> 23[label="",style="dashed", color="red", weight=0]; 278[label="xv300 == xv400",fontsize=16,color="magenta"];278 -> 414[label="",style="dashed", color="magenta", weight=3]; 278 -> 415[label="",style="dashed", color="magenta", weight=3]; 279 -> 24[label="",style="dashed", color="red", weight=0]; 279[label="xv300 == 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xv400",fontsize=16,color="magenta"];283 -> 424[label="",style="dashed", color="magenta", weight=3]; 283 -> 425[label="",style="dashed", color="magenta", weight=3]; 284[label="xv300 * xv401",fontsize=16,color="black",shape="triangle"];284 -> 426[label="",style="solid", color="black", weight=3]; 285 -> 284[label="",style="dashed", color="red", weight=0]; 285[label="xv301 * xv400",fontsize=16,color="magenta"];285 -> 427[label="",style="dashed", color="magenta", weight=3]; 285 -> 428[label="",style="dashed", color="magenta", weight=3]; 286[label="primEqNat (Succ xv3000) xv400",fontsize=16,color="burlywood",shape="box"];833[label="xv400/Succ xv4000",fontsize=10,color="white",style="solid",shape="box"];286 -> 833[label="",style="solid", color="burlywood", weight=9]; 833 -> 429[label="",style="solid", color="burlywood", weight=3]; 834[label="xv400/Zero",fontsize=10,color="white",style="solid",shape="box"];286 -> 834[label="",style="solid", color="burlywood", weight=9]; 834 -> 430[label="",style="solid", color="burlywood", weight=3]; 287[label="primEqNat Zero xv400",fontsize=16,color="burlywood",shape="box"];835[label="xv400/Succ xv4000",fontsize=10,color="white",style="solid",shape="box"];287 -> 835[label="",style="solid", color="burlywood", weight=9]; 835 -> 431[label="",style="solid", color="burlywood", weight=3]; 836[label="xv400/Zero",fontsize=10,color="white",style="solid",shape="box"];287 -> 836[label="",style="solid", color="burlywood", weight=9]; 836 -> 432[label="",style="solid", color="burlywood", weight=3]; 288 -> 4[label="",style="dashed", color="red", weight=0]; 288[label="xv301 == xv401",fontsize=16,color="magenta"];288 -> 433[label="",style="dashed", color="magenta", weight=3]; 288 -> 434[label="",style="dashed", color="magenta", weight=3]; 289 -> 16[label="",style="dashed", color="red", weight=0]; 289[label="xv301 == xv401",fontsize=16,color="magenta"];289 -> 435[label="",style="dashed", color="magenta", weight=3]; 289 -> 436[label="",style="dashed", color="magenta", weight=3]; 290 -> 17[label="",style="dashed", color="red", weight=0]; 290[label="xv301 == xv401",fontsize=16,color="magenta"];290 -> 437[label="",style="dashed", color="magenta", weight=3]; 290 -> 438[label="",style="dashed", color="magenta", weight=3]; 291 -> 18[label="",style="dashed", color="red", weight=0]; 291[label="xv301 == xv401",fontsize=16,color="magenta"];291 -> 439[label="",style="dashed", color="magenta", weight=3]; 291 -> 440[label="",style="dashed", color="magenta", weight=3]; 292 -> 19[label="",style="dashed", color="red", weight=0]; 292[label="xv301 == xv401",fontsize=16,color="magenta"];292 -> 441[label="",style="dashed", color="magenta", weight=3]; 292 -> 442[label="",style="dashed", color="magenta", weight=3]; 293 -> 20[label="",style="dashed", color="red", weight=0]; 293[label="xv301 == xv401",fontsize=16,color="magenta"];293 -> 443[label="",style="dashed", color="magenta", weight=3]; 293 -> 444[label="",style="dashed", color="magenta", weight=3]; 294 -> 21[label="",style="dashed", color="red", weight=0]; 294[label="xv301 == xv401",fontsize=16,color="magenta"];294 -> 445[label="",style="dashed", color="magenta", weight=3]; 294 -> 446[label="",style="dashed", color="magenta", weight=3]; 295 -> 22[label="",style="dashed", color="red", weight=0]; 295[label="xv301 == xv401",fontsize=16,color="magenta"];295 -> 447[label="",style="dashed", color="magenta", weight=3]; 295 -> 448[label="",style="dashed", color="magenta", weight=3]; 296 -> 23[label="",style="dashed", color="red", weight=0]; 296[label="xv301 == xv401",fontsize=16,color="magenta"];296 -> 449[label="",style="dashed", color="magenta", weight=3]; 296 -> 450[label="",style="dashed", color="magenta", weight=3]; 297 -> 24[label="",style="dashed", color="red", weight=0]; 297[label="xv301 == xv401",fontsize=16,color="magenta"];297 -> 451[label="",style="dashed", color="magenta", weight=3]; 297 -> 452[label="",style="dashed", color="magenta", weight=3]; 298 -> 25[label="",style="dashed", color="red", weight=0]; 298[label="xv301 == xv401",fontsize=16,color="magenta"];298 -> 453[label="",style="dashed", color="magenta", weight=3]; 298 -> 454[label="",style="dashed", color="magenta", weight=3]; 299 -> 26[label="",style="dashed", color="red", weight=0]; 299[label="xv301 == xv401",fontsize=16,color="magenta"];299 -> 455[label="",style="dashed", color="magenta", weight=3]; 299 -> 456[label="",style="dashed", color="magenta", weight=3]; 300 -> 27[label="",style="dashed", color="red", weight=0]; 300[label="xv301 == xv401",fontsize=16,color="magenta"];300 -> 457[label="",style="dashed", color="magenta", weight=3]; 300 -> 458[label="",style="dashed", color="magenta", weight=3]; 301 -> 28[label="",style="dashed", color="red", weight=0]; 301[label="xv301 == xv401",fontsize=16,color="magenta"];301 -> 459[label="",style="dashed", color="magenta", weight=3]; 301 -> 460[label="",style="dashed", color="magenta", weight=3]; 302 -> 4[label="",style="dashed", color="red", weight=0]; 302[label="xv300 == xv400",fontsize=16,color="magenta"];302 -> 461[label="",style="dashed", color="magenta", weight=3]; 302 -> 462[label="",style="dashed", color="magenta", weight=3]; 303 -> 16[label="",style="dashed", color="red", weight=0]; 303[label="xv300 == xv400",fontsize=16,color="magenta"];303 -> 463[label="",style="dashed", color="magenta", weight=3]; 303 -> 464[label="",style="dashed", color="magenta", weight=3]; 304 -> 17[label="",style="dashed", color="red", weight=0]; 304[label="xv300 == xv400",fontsize=16,color="magenta"];304 -> 465[label="",style="dashed", color="magenta", weight=3]; 304 -> 466[label="",style="dashed", color="magenta", weight=3]; 305 -> 18[label="",style="dashed", color="red", weight=0]; 305[label="xv300 == xv400",fontsize=16,color="magenta"];305 -> 467[label="",style="dashed", color="magenta", weight=3]; 305 -> 468[label="",style="dashed", color="magenta", weight=3]; 306 -> 19[label="",style="dashed", color="red", weight=0]; 306[label="xv300 == xv400",fontsize=16,color="magenta"];306 -> 469[label="",style="dashed", color="magenta", weight=3]; 306 -> 470[label="",style="dashed", color="magenta", weight=3]; 307 -> 20[label="",style="dashed", color="red", weight=0]; 307[label="xv300 == xv400",fontsize=16,color="magenta"];307 -> 471[label="",style="dashed", color="magenta", weight=3]; 307 -> 472[label="",style="dashed", color="magenta", weight=3]; 308 -> 21[label="",style="dashed", color="red", weight=0]; 308[label="xv300 == xv400",fontsize=16,color="magenta"];308 -> 473[label="",style="dashed", color="magenta", weight=3]; 308 -> 474[label="",style="dashed", color="magenta", weight=3]; 309 -> 22[label="",style="dashed", color="red", weight=0]; 309[label="xv300 == xv400",fontsize=16,color="magenta"];309 -> 475[label="",style="dashed", color="magenta", weight=3]; 309 -> 476[label="",style="dashed", color="magenta", weight=3]; 310 -> 23[label="",style="dashed", color="red", weight=0]; 310[label="xv300 == xv400",fontsize=16,color="magenta"];310 -> 477[label="",style="dashed", color="magenta", weight=3]; 310 -> 478[label="",style="dashed", color="magenta", weight=3]; 311 -> 24[label="",style="dashed", color="red", weight=0]; 311[label="xv300 == xv400",fontsize=16,color="magenta"];311 -> 479[label="",style="dashed", color="magenta", weight=3]; 311 -> 480[label="",style="dashed", color="magenta", weight=3]; 312 -> 25[label="",style="dashed", color="red", weight=0]; 312[label="xv300 == xv400",fontsize=16,color="magenta"];312 -> 481[label="",style="dashed", color="magenta", weight=3]; 312 -> 482[label="",style="dashed", color="magenta", weight=3]; 313 -> 26[label="",style="dashed", color="red", weight=0]; 313[label="xv300 == xv400",fontsize=16,color="magenta"];313 -> 483[label="",style="dashed", color="magenta", weight=3]; 313 -> 484[label="",style="dashed", color="magenta", weight=3]; 314 -> 27[label="",style="dashed", color="red", weight=0]; 314[label="xv300 == xv400",fontsize=16,color="magenta"];314 -> 485[label="",style="dashed", color="magenta", weight=3]; 314 -> 486[label="",style="dashed", color="magenta", weight=3]; 315 -> 28[label="",style="dashed", color="red", weight=0]; 315[label="xv300 == xv400",fontsize=16,color="magenta"];315 -> 487[label="",style="dashed", color="magenta", weight=3]; 315 -> 488[label="",style="dashed", color="magenta", weight=3]; 316[label="primEqInt (Pos (Succ xv3000)) (Pos (Succ xv4000))",fontsize=16,color="black",shape="box"];316 -> 489[label="",style="solid", color="black", weight=3]; 317[label="primEqInt (Pos (Succ xv3000)) (Pos Zero)",fontsize=16,color="black",shape="box"];317 -> 490[label="",style="solid", color="black", weight=3]; 318[label="False",fontsize=16,color="green",shape="box"];319[label="primEqInt (Pos Zero) (Pos (Succ xv4000))",fontsize=16,color="black",shape="box"];319 -> 491[label="",style="solid", color="black", weight=3]; 320[label="primEqInt (Pos Zero) (Pos 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332[label="xv301",fontsize=16,color="green",shape="box"];333[label="xv401",fontsize=16,color="green",shape="box"];334[label="xv301",fontsize=16,color="green",shape="box"];335[label="xv401",fontsize=16,color="green",shape="box"];336[label="xv300",fontsize=16,color="green",shape="box"];337[label="xv400",fontsize=16,color="green",shape="box"];338[label="xv300",fontsize=16,color="green",shape="box"];339[label="xv400",fontsize=16,color="green",shape="box"];340[label="False",fontsize=16,color="green",shape="box"];341[label="xv17",fontsize=16,color="green",shape="box"];342[label="xv300",fontsize=16,color="green",shape="box"];343[label="xv400",fontsize=16,color="green",shape="box"];344[label="xv300",fontsize=16,color="green",shape="box"];345[label="xv400",fontsize=16,color="green",shape="box"];346[label="xv300",fontsize=16,color="green",shape="box"];347[label="xv400",fontsize=16,color="green",shape="box"];348[label="xv300",fontsize=16,color="green",shape="box"];349[label="xv400",fontsize=16,color="green",shape="box"];350[label="xv300",fontsize=16,color="green",shape="box"];351[label="xv400",fontsize=16,color="green",shape="box"];352[label="xv300",fontsize=16,color="green",shape="box"];353[label="xv400",fontsize=16,color="green",shape="box"];354[label="xv300",fontsize=16,color="green",shape="box"];355[label="xv400",fontsize=16,color="green",shape="box"];356[label="xv300",fontsize=16,color="green",shape="box"];357[label="xv400",fontsize=16,color="green",shape="box"];358[label="xv300",fontsize=16,color="green",shape="box"];359[label="xv400",fontsize=16,color="green",shape="box"];360[label="xv300",fontsize=16,color="green",shape="box"];361[label="xv400",fontsize=16,color="green",shape="box"];362[label="xv300",fontsize=16,color="green",shape="box"];363[label="xv400",fontsize=16,color="green",shape="box"];364[label="xv300",fontsize=16,color="green",shape="box"];365[label="xv400",fontsize=16,color="green",shape="box"];366[label="xv300",fontsize=16,color="green",shape="box"];367[label="xv400",fontsize=16,color="green",shape="box"];368[label="xv300",fontsize=16,color="green",shape="box"];369[label="xv400",fontsize=16,color="green",shape="box"];370 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color="red", weight=0]; 378[label="xv302 == xv402",fontsize=16,color="magenta"];378 -> 521[label="",style="dashed", color="magenta", weight=3]; 378 -> 522[label="",style="dashed", color="magenta", weight=3]; 379 -> 24[label="",style="dashed", color="red", weight=0]; 379[label="xv302 == xv402",fontsize=16,color="magenta"];379 -> 523[label="",style="dashed", color="magenta", weight=3]; 379 -> 524[label="",style="dashed", color="magenta", weight=3]; 380 -> 25[label="",style="dashed", color="red", weight=0]; 380[label="xv302 == xv402",fontsize=16,color="magenta"];380 -> 525[label="",style="dashed", color="magenta", weight=3]; 380 -> 526[label="",style="dashed", color="magenta", weight=3]; 381 -> 26[label="",style="dashed", color="red", weight=0]; 381[label="xv302 == xv402",fontsize=16,color="magenta"];381 -> 527[label="",style="dashed", color="magenta", weight=3]; 381 -> 528[label="",style="dashed", color="magenta", weight=3]; 382 -> 27[label="",style="dashed", color="red", weight=0]; 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xv401",fontsize=16,color="magenta"];386 -> 537[label="",style="dashed", color="magenta", weight=3]; 386 -> 538[label="",style="dashed", color="magenta", weight=3]; 387 -> 18[label="",style="dashed", color="red", weight=0]; 387[label="xv301 == xv401",fontsize=16,color="magenta"];387 -> 539[label="",style="dashed", color="magenta", weight=3]; 387 -> 540[label="",style="dashed", color="magenta", weight=3]; 388 -> 19[label="",style="dashed", color="red", weight=0]; 388[label="xv301 == xv401",fontsize=16,color="magenta"];388 -> 541[label="",style="dashed", color="magenta", weight=3]; 388 -> 542[label="",style="dashed", color="magenta", weight=3]; 389 -> 20[label="",style="dashed", color="red", weight=0]; 389[label="xv301 == xv401",fontsize=16,color="magenta"];389 -> 543[label="",style="dashed", color="magenta", weight=3]; 389 -> 544[label="",style="dashed", color="magenta", weight=3]; 390 -> 21[label="",style="dashed", color="red", weight=0]; 390[label="xv301 == 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xv401",fontsize=16,color="magenta"];394 -> 553[label="",style="dashed", color="magenta", weight=3]; 394 -> 554[label="",style="dashed", color="magenta", weight=3]; 395 -> 26[label="",style="dashed", color="red", weight=0]; 395[label="xv301 == xv401",fontsize=16,color="magenta"];395 -> 555[label="",style="dashed", color="magenta", weight=3]; 395 -> 556[label="",style="dashed", color="magenta", weight=3]; 396 -> 27[label="",style="dashed", color="red", weight=0]; 396[label="xv301 == xv401",fontsize=16,color="magenta"];396 -> 557[label="",style="dashed", color="magenta", weight=3]; 396 -> 558[label="",style="dashed", color="magenta", weight=3]; 397 -> 28[label="",style="dashed", color="red", weight=0]; 397[label="xv301 == xv401",fontsize=16,color="magenta"];397 -> 559[label="",style="dashed", color="magenta", weight=3]; 397 -> 560[label="",style="dashed", color="magenta", weight=3]; 398[label="xv300",fontsize=16,color="green",shape="box"];399[label="xv400",fontsize=16,color="green",shape="box"];400[label="xv300",fontsize=16,color="green",shape="box"];401[label="xv400",fontsize=16,color="green",shape="box"];402[label="xv300",fontsize=16,color="green",shape="box"];403[label="xv400",fontsize=16,color="green",shape="box"];404[label="xv300",fontsize=16,color="green",shape="box"];405[label="xv400",fontsize=16,color="green",shape="box"];406[label="xv300",fontsize=16,color="green",shape="box"];407[label="xv400",fontsize=16,color="green",shape="box"];408[label="xv300",fontsize=16,color="green",shape="box"];409[label="xv400",fontsize=16,color="green",shape="box"];410[label="xv300",fontsize=16,color="green",shape="box"];411[label="xv400",fontsize=16,color="green",shape="box"];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="primMulInt 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color="black", weight=3]; 432[label="primEqNat Zero Zero",fontsize=16,color="black",shape="box"];432 -> 566[label="",style="solid", color="black", weight=3]; 433[label="xv301",fontsize=16,color="green",shape="box"];434[label="xv401",fontsize=16,color="green",shape="box"];435[label="xv301",fontsize=16,color="green",shape="box"];436[label="xv401",fontsize=16,color="green",shape="box"];437[label="xv301",fontsize=16,color="green",shape="box"];438[label="xv401",fontsize=16,color="green",shape="box"];439[label="xv301",fontsize=16,color="green",shape="box"];440[label="xv401",fontsize=16,color="green",shape="box"];441[label="xv301",fontsize=16,color="green",shape="box"];442[label="xv401",fontsize=16,color="green",shape="box"];443[label="xv301",fontsize=16,color="green",shape="box"];444[label="xv401",fontsize=16,color="green",shape="box"];445[label="xv301",fontsize=16,color="green",shape="box"];446[label="xv401",fontsize=16,color="green",shape="box"];447[label="xv301",fontsize=16,color="green",shape="box"];448[label="xv401",fontsize=16,color="green",shape="box"];449[label="xv301",fontsize=16,color="green",shape="box"];450[label="xv401",fontsize=16,color="green",shape="box"];451[label="xv301",fontsize=16,color="green",shape="box"];452[label="xv401",fontsize=16,color="green",shape="box"];453[label="xv301",fontsize=16,color="green",shape="box"];454[label="xv401",fontsize=16,color="green",shape="box"];455[label="xv301",fontsize=16,color="green",shape="box"];456[label="xv401",fontsize=16,color="green",shape="box"];457[label="xv301",fontsize=16,color="green",shape="box"];458[label="xv401",fontsize=16,color="green",shape="box"];459[label="xv301",fontsize=16,color="green",shape="box"];460[label="xv401",fontsize=16,color="green",shape="box"];461[label="xv300",fontsize=16,color="green",shape="box"];462[label="xv400",fontsize=16,color="green",shape="box"];463[label="xv300",fontsize=16,color="green",shape="box"];464[label="xv400",fontsize=16,color="green",shape="box"];465[label="xv300",fontsize=16,color="green",shape="box"];466[label="xv400",fontsize=16,color="green",shape="box"];467[label="xv300",fontsize=16,color="green",shape="box"];468[label="xv400",fontsize=16,color="green",shape="box"];469[label="xv300",fontsize=16,color="green",shape="box"];470[label="xv400",fontsize=16,color="green",shape="box"];471[label="xv300",fontsize=16,color="green",shape="box"];472[label="xv400",fontsize=16,color="green",shape="box"];473[label="xv300",fontsize=16,color="green",shape="box"];474[label="xv400",fontsize=16,color="green",shape="box"];475[label="xv300",fontsize=16,color="green",shape="box"];476[label="xv400",fontsize=16,color="green",shape="box"];477[label="xv300",fontsize=16,color="green",shape="box"];478[label="xv400",fontsize=16,color="green",shape="box"];479[label="xv300",fontsize=16,color="green",shape="box"];480[label="xv400",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="xv300",fontsize=16,color="green",shape="box"];484[label="xv400",fontsize=16,color="green",shape="box"];485[label="xv300",fontsize=16,color="green",shape="box"];486[label="xv400",fontsize=16,color="green",shape="box"];487[label="xv300",fontsize=16,color="green",shape="box"];488[label="xv400",fontsize=16,color="green",shape="box"];489 -> 163[label="",style="dashed", color="red", weight=0]; 489[label="primEqNat xv3000 xv4000",fontsize=16,color="magenta"];489 -> 567[label="",style="dashed", color="magenta", weight=3]; 489 -> 568[label="",style="dashed", color="magenta", weight=3]; 490[label="False",fontsize=16,color="green",shape="box"];491[label="False",fontsize=16,color="green",shape="box"];492[label="True",fontsize=16,color="green",shape="box"];493[label="False",fontsize=16,color="green",shape="box"];494[label="True",fontsize=16,color="green",shape="box"];495 -> 163[label="",style="dashed", color="red", weight=0]; 495[label="primEqNat xv3000 xv4000",fontsize=16,color="magenta"];495 -> 569[label="",style="dashed", color="magenta", weight=3]; 495 -> 570[label="",style="dashed", color="magenta", weight=3]; 496[label="False",fontsize=16,color="green",shape="box"];497[label="False",fontsize=16,color="green",shape="box"];498[label="True",fontsize=16,color="green",shape="box"];499[label="False",fontsize=16,color="green",shape="box"];500[label="True",fontsize=16,color="green",shape="box"];501[label="xv300",fontsize=16,color="green",shape="box"];502[label="xv401",fontsize=16,color="green",shape="box"];503[label="xv301",fontsize=16,color="green",shape="box"];504[label="xv400",fontsize=16,color="green",shape="box"];505[label="xv302",fontsize=16,color="green",shape="box"];506[label="xv402",fontsize=16,color="green",shape="box"];507[label="xv302",fontsize=16,color="green",shape="box"];508[label="xv402",fontsize=16,color="green",shape="box"];509[label="xv302",fontsize=16,color="green",shape="box"];510[label="xv402",fontsize=16,color="green",shape="box"];511[label="xv302",fontsize=16,color="green",shape="box"];512[label="xv402",fontsize=16,color="green",shape="box"];513[label="xv302",fontsize=16,color="green",shape="box"];514[label="xv402",fontsize=16,color="green",shape="box"];515[label="xv302",fontsize=16,color="green",shape="box"];516[label="xv402",fontsize=16,color="green",shape="box"];517[label="xv302",fontsize=16,color="green",shape="box"];518[label="xv402",fontsize=16,color="green",shape="box"];519[label="xv302",fontsize=16,color="green",shape="box"];520[label="xv402",fontsize=16,color="green",shape="box"];521[label="xv302",fontsize=16,color="green",shape="box"];522[label="xv402",fontsize=16,color="green",shape="box"];523[label="xv302",fontsize=16,color="green",shape="box"];524[label="xv402",fontsize=16,color="green",shape="box"];525[label="xv302",fontsize=16,color="green",shape="box"];526[label="xv402",fontsize=16,color="green",shape="box"];527[label="xv302",fontsize=16,color="green",shape="box"];528[label="xv402",fontsize=16,color="green",shape="box"];529[label="xv302",fontsize=16,color="green",shape="box"];530[label="xv402",fontsize=16,color="green",shape="box"];531[label="xv302",fontsize=16,color="green",shape="box"];532[label="xv402",fontsize=16,color="green",shape="box"];533[label="xv301",fontsize=16,color="green",shape="box"];534[label="xv401",fontsize=16,color="green",shape="box"];535[label="xv301",fontsize=16,color="green",shape="box"];536[label="xv401",fontsize=16,color="green",shape="box"];537[label="xv301",fontsize=16,color="green",shape="box"];538[label="xv401",fontsize=16,color="green",shape="box"];539[label="xv301",fontsize=16,color="green",shape="box"];540[label="xv401",fontsize=16,color="green",shape="box"];541[label="xv301",fontsize=16,color="green",shape="box"];542[label="xv401",fontsize=16,color="green",shape="box"];543[label="xv301",fontsize=16,color="green",shape="box"];544[label="xv401",fontsize=16,color="green",shape="box"];545[label="xv301",fontsize=16,color="green",shape="box"];546[label="xv401",fontsize=16,color="green",shape="box"];547[label="xv301",fontsize=16,color="green",shape="box"];548[label="xv401",fontsize=16,color="green",shape="box"];549[label="xv301",fontsize=16,color="green",shape="box"];550[label="xv401",fontsize=16,color="green",shape="box"];551[label="xv301",fontsize=16,color="green",shape="box"];552[label="xv401",fontsize=16,color="green",shape="box"];553[label="xv301",fontsize=16,color="green",shape="box"];554[label="xv401",fontsize=16,color="green",shape="box"];555[label="xv301",fontsize=16,color="green",shape="box"];556[label="xv401",fontsize=16,color="green",shape="box"];557[label="xv301",fontsize=16,color="green",shape="box"];558[label="xv401",fontsize=16,color="green",shape="box"];559[label="xv301",fontsize=16,color="green",shape="box"];560[label="xv401",fontsize=16,color="green",shape="box"];561[label="primMulInt (Pos xv3000) xv401",fontsize=16,color="burlywood",shape="box"];839[label="xv401/Pos xv4010",fontsize=10,color="white",style="solid",shape="box"];561 -> 839[label="",style="solid", color="burlywood", weight=9]; 839 -> 571[label="",style="solid", color="burlywood", weight=3]; 840[label="xv401/Neg xv4010",fontsize=10,color="white",style="solid",shape="box"];561 -> 840[label="",style="solid", color="burlywood", weight=9]; 840 -> 572[label="",style="solid", color="burlywood", weight=3]; 562[label="primMulInt (Neg xv3000) xv401",fontsize=16,color="burlywood",shape="box"];841[label="xv401/Pos xv4010",fontsize=10,color="white",style="solid",shape="box"];562 -> 841[label="",style="solid", color="burlywood", weight=9]; 841 -> 573[label="",style="solid", color="burlywood", weight=3]; 842[label="xv401/Neg xv4010",fontsize=10,color="white",style="solid",shape="box"];562 -> 842[label="",style="solid", color="burlywood", weight=9]; 842 -> 574[label="",style="solid", color="burlywood", weight=3]; 563 -> 163[label="",style="dashed", color="red", weight=0]; 563[label="primEqNat xv3000 xv4000",fontsize=16,color="magenta"];563 -> 575[label="",style="dashed", color="magenta", weight=3]; 563 -> 576[label="",style="dashed", color="magenta", weight=3]; 564[label="False",fontsize=16,color="green",shape="box"];565[label="False",fontsize=16,color="green",shape="box"];566[label="True",fontsize=16,color="green",shape="box"];567[label="xv3000",fontsize=16,color="green",shape="box"];568[label="xv4000",fontsize=16,color="green",shape="box"];569[label="xv3000",fontsize=16,color="green",shape="box"];570[label="xv4000",fontsize=16,color="green",shape="box"];571[label="primMulInt (Pos xv3000) (Pos xv4010)",fontsize=16,color="black",shape="box"];571 -> 577[label="",style="solid", color="black", weight=3]; 572[label="primMulInt (Pos xv3000) (Neg xv4010)",fontsize=16,color="black",shape="box"];572 -> 578[label="",style="solid", color="black", weight=3]; 573[label="primMulInt (Neg xv3000) (Pos xv4010)",fontsize=16,color="black",shape="box"];573 -> 579[label="",style="solid", color="black", weight=3]; 574[label="primMulInt (Neg xv3000) (Neg xv4010)",fontsize=16,color="black",shape="box"];574 -> 580[label="",style="solid", color="black", weight=3]; 575[label="xv3000",fontsize=16,color="green",shape="box"];576[label="xv4000",fontsize=16,color="green",shape="box"];577[label="Pos (primMulNat xv3000 xv4010)",fontsize=16,color="green",shape="box"];577 -> 581[label="",style="dashed", color="green", weight=3]; 578[label="Neg (primMulNat xv3000 xv4010)",fontsize=16,color="green",shape="box"];578 -> 582[label="",style="dashed", color="green", weight=3]; 579[label="Neg (primMulNat xv3000 xv4010)",fontsize=16,color="green",shape="box"];579 -> 583[label="",style="dashed", color="green", weight=3]; 580[label="Pos (primMulNat xv3000 xv4010)",fontsize=16,color="green",shape="box"];580 -> 584[label="",style="dashed", color="green", weight=3]; 581[label="primMulNat xv3000 xv4010",fontsize=16,color="burlywood",shape="triangle"];843[label="xv3000/Succ xv30000",fontsize=10,color="white",style="solid",shape="box"];581 -> 843[label="",style="solid", color="burlywood", weight=9]; 843 -> 585[label="",style="solid", color="burlywood", weight=3]; 844[label="xv3000/Zero",fontsize=10,color="white",style="solid",shape="box"];581 -> 844[label="",style="solid", color="burlywood", weight=9]; 844 -> 586[label="",style="solid", color="burlywood", weight=3]; 582 -> 581[label="",style="dashed", color="red", weight=0]; 582[label="primMulNat xv3000 xv4010",fontsize=16,color="magenta"];582 -> 587[label="",style="dashed", color="magenta", weight=3]; 583 -> 581[label="",style="dashed", color="red", weight=0]; 583[label="primMulNat xv3000 xv4010",fontsize=16,color="magenta"];583 -> 588[label="",style="dashed", color="magenta", weight=3]; 584 -> 581[label="",style="dashed", color="red", weight=0]; 584[label="primMulNat xv3000 xv4010",fontsize=16,color="magenta"];584 -> 589[label="",style="dashed", color="magenta", weight=3]; 584 -> 590[label="",style="dashed", color="magenta", weight=3]; 585[label="primMulNat (Succ xv30000) xv4010",fontsize=16,color="burlywood",shape="box"];845[label="xv4010/Succ xv40100",fontsize=10,color="white",style="solid",shape="box"];585 -> 845[label="",style="solid", color="burlywood", weight=9]; 845 -> 591[label="",style="solid", color="burlywood", weight=3]; 846[label="xv4010/Zero",fontsize=10,color="white",style="solid",shape="box"];585 -> 846[label="",style="solid", color="burlywood", weight=9]; 846 -> 592[label="",style="solid", color="burlywood", weight=3]; 586[label="primMulNat Zero xv4010",fontsize=16,color="burlywood",shape="box"];847[label="xv4010/Succ xv40100",fontsize=10,color="white",style="solid",shape="box"];586 -> 847[label="",style="solid", color="burlywood", weight=9]; 847 -> 593[label="",style="solid", color="burlywood", weight=3]; 848[label="xv4010/Zero",fontsize=10,color="white",style="solid",shape="box"];586 -> 848[label="",style="solid", color="burlywood", weight=9]; 848 -> 594[label="",style="solid", color="burlywood", weight=3]; 587[label="xv4010",fontsize=16,color="green",shape="box"];588[label="xv3000",fontsize=16,color="green",shape="box"];589[label="xv4010",fontsize=16,color="green",shape="box"];590[label="xv3000",fontsize=16,color="green",shape="box"];591[label="primMulNat (Succ xv30000) (Succ xv40100)",fontsize=16,color="black",shape="box"];591 -> 595[label="",style="solid", color="black", weight=3]; 592[label="primMulNat (Succ xv30000) Zero",fontsize=16,color="black",shape="box"];592 -> 596[label="",style="solid", color="black", weight=3]; 593[label="primMulNat Zero (Succ xv40100)",fontsize=16,color="black",shape="box"];593 -> 597[label="",style="solid", color="black", weight=3]; 594[label="primMulNat Zero Zero",fontsize=16,color="black",shape="box"];594 -> 598[label="",style="solid", color="black", weight=3]; 595 -> 599[label="",style="dashed", color="red", weight=0]; 595[label="primPlusNat (primMulNat xv30000 (Succ xv40100)) (Succ xv40100)",fontsize=16,color="magenta"];595 -> 600[label="",style="dashed", color="magenta", weight=3]; 596[label="Zero",fontsize=16,color="green",shape="box"];597[label="Zero",fontsize=16,color="green",shape="box"];598[label="Zero",fontsize=16,color="green",shape="box"];600 -> 581[label="",style="dashed", color="red", weight=0]; 600[label="primMulNat xv30000 (Succ xv40100)",fontsize=16,color="magenta"];600 -> 601[label="",style="dashed", color="magenta", weight=3]; 600 -> 602[label="",style="dashed", color="magenta", weight=3]; 599[label="primPlusNat xv18 (Succ xv40100)",fontsize=16,color="burlywood",shape="triangle"];849[label="xv18/Succ xv180",fontsize=10,color="white",style="solid",shape="box"];599 -> 849[label="",style="solid", color="burlywood", weight=9]; 849 -> 603[label="",style="solid", color="burlywood", weight=3]; 850[label="xv18/Zero",fontsize=10,color="white",style="solid",shape="box"];599 -> 850[label="",style="solid", color="burlywood", weight=9]; 850 -> 604[label="",style="solid", color="burlywood", weight=3]; 601[label="Succ xv40100",fontsize=16,color="green",shape="box"];602[label="xv30000",fontsize=16,color="green",shape="box"];603[label="primPlusNat (Succ xv180) (Succ xv40100)",fontsize=16,color="black",shape="box"];603 -> 605[label="",style="solid", color="black", weight=3]; 604[label="primPlusNat Zero (Succ xv40100)",fontsize=16,color="black",shape="box"];604 -> 606[label="",style="solid", color="black", weight=3]; 605[label="Succ (Succ (primPlusNat xv180 xv40100))",fontsize=16,color="green",shape="box"];605 -> 607[label="",style="dashed", color="green", weight=3]; 606[label="Succ xv40100",fontsize=16,color="green",shape="box"];607[label="primPlusNat xv180 xv40100",fontsize=16,color="burlywood",shape="triangle"];851[label="xv180/Succ xv1800",fontsize=10,color="white",style="solid",shape="box"];607 -> 851[label="",style="solid", color="burlywood", weight=9]; 851 -> 608[label="",style="solid", color="burlywood", weight=3]; 852[label="xv180/Zero",fontsize=10,color="white",style="solid",shape="box"];607 -> 852[label="",style="solid", color="burlywood", weight=9]; 852 -> 609[label="",style="solid", color="burlywood", weight=3]; 608[label="primPlusNat (Succ xv1800) xv40100",fontsize=16,color="burlywood",shape="box"];853[label="xv40100/Succ xv401000",fontsize=10,color="white",style="solid",shape="box"];608 -> 853[label="",style="solid", color="burlywood", weight=9]; 853 -> 610[label="",style="solid", color="burlywood", weight=3]; 854[label="xv40100/Zero",fontsize=10,color="white",style="solid",shape="box"];608 -> 854[label="",style="solid", color="burlywood", weight=9]; 854 -> 611[label="",style="solid", color="burlywood", weight=3]; 609[label="primPlusNat Zero xv40100",fontsize=16,color="burlywood",shape="box"];855[label="xv40100/Succ xv401000",fontsize=10,color="white",style="solid",shape="box"];609 -> 855[label="",style="solid", color="burlywood", weight=9]; 855 -> 612[label="",style="solid", color="burlywood", weight=3]; 856[label="xv40100/Zero",fontsize=10,color="white",style="solid",shape="box"];609 -> 856[label="",style="solid", color="burlywood", weight=9]; 856 -> 613[label="",style="solid", color="burlywood", weight=3]; 610[label="primPlusNat (Succ xv1800) (Succ xv401000)",fontsize=16,color="black",shape="box"];610 -> 614[label="",style="solid", color="black", weight=3]; 611[label="primPlusNat (Succ xv1800) Zero",fontsize=16,color="black",shape="box"];611 -> 615[label="",style="solid", color="black", weight=3]; 612[label="primPlusNat Zero (Succ xv401000)",fontsize=16,color="black",shape="box"];612 -> 616[label="",style="solid", color="black", weight=3]; 613[label="primPlusNat Zero Zero",fontsize=16,color="black",shape="box"];613 -> 617[label="",style="solid", color="black", weight=3]; 614[label="Succ (Succ (primPlusNat xv1800 xv401000))",fontsize=16,color="green",shape="box"];614 -> 618[label="",style="dashed", color="green", weight=3]; 615[label="Succ xv1800",fontsize=16,color="green",shape="box"];616[label="Succ xv401000",fontsize=16,color="green",shape="box"];617[label="Zero",fontsize=16,color="green",shape="box"];618 -> 607[label="",style="dashed", color="red", weight=0]; 618[label="primPlusNat xv1800 xv401000",fontsize=16,color="magenta"];618 -> 619[label="",style="dashed", color="magenta", weight=3]; 618 -> 620[label="",style="dashed", color="magenta", weight=3]; 619[label="xv1800",fontsize=16,color="green",shape="box"];620[label="xv401000",fontsize=16,color="green",shape="box"];} ---------------------------------------- (6) Complex Obligation (AND) ---------------------------------------- (7) Obligation: Q DP problem: The TRS P consists of the following rules: new_esEs1(:(xv300, xv301), :(xv400, xv401), app(app(ty_Either, dh), ea)) -> new_esEs0(xv300, xv400, dh, ea) new_esEs(Just(:(xv300, xv301)), Just(:(xv400, xv401)), app(ty_[], app(app(ty_Either, dh), ea))) -> new_esEs0(xv300, xv400, dh, ea) new_esEs(Just(@3(xv300, xv301, xv302)), Just(@3(xv400, xv401, xv402)), app(app(app(ty_@3, eh), fa), app(app(app(ty_@3, fg), fh), ga))) -> new_esEs2(xv302, xv402, fg, fh, ga) new_esEs3(@2(xv300, xv301), @2(xv400, xv401), app(app(ty_Either, bcc), bcd), bcb) -> new_esEs0(xv300, xv400, bcc, bcd) new_esEs(Just(@3(xv300, xv301, xv302)), Just(@3(xv400, xv401, xv402)), app(app(app(ty_@3, eh), app(ty_Maybe, gd)), ge)) -> new_esEs(xv301, xv401, gd) new_esEs(Just(:(xv300, xv301)), Just(:(xv400, xv401)), app(ty_[], app(app(ty_@2, ef), eg))) -> new_esEs3(xv300, xv400, ef, eg) new_esEs(Just(@3(xv300, xv301, xv302)), Just(@3(xv400, xv401, xv402)), app(app(app(ty_@3, eh), app(app(app(ty_@3, ha), hb), hc)), ge)) -> new_esEs2(xv301, xv401, ha, hb, hc) new_esEs(Just(@2(xv300, xv301)), Just(@2(xv400, xv401)), app(app(ty_@2, bag), app(ty_Maybe, bah))) -> new_esEs(xv301, xv401, bah) new_esEs0(Left(xv300), Left(xv400), app(ty_Maybe, ba), bb) -> new_esEs(xv300, xv400, ba) new_esEs(Just(Left(xv300)), Just(Left(xv400)), app(app(ty_Either, app(ty_[], be)), bb)) -> new_esEs1(xv300, xv400, be) new_esEs(Just(@3(xv300, xv301, xv302)), Just(@3(xv400, xv401, xv402)), app(app(app(ty_@3, eh), app(app(ty_@2, hd), he)), ge)) -> new_esEs3(xv301, xv401, hd, he) new_esEs(Just(Right(xv300)), Just(Right(xv400)), app(app(ty_Either, cc), app(ty_Maybe, cd))) -> new_esEs(xv300, xv400, cd) new_esEs(Just(@2(xv300, xv301)), Just(@2(xv400, xv401)), app(app(ty_@2, bag), app(app(app(ty_@3, bbd), bbe), bbf))) -> new_esEs2(xv301, xv401, bbd, bbe, bbf) new_esEs(Just(xv30), Just(xv40), app(ty_Maybe, h)) -> new_esEs(xv30, xv40, h) new_esEs2(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), eh, app(app(ty_@2, hd), he), ge) -> new_esEs3(xv301, xv401, hd, he) new_esEs2(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), eh, app(app(app(ty_@3, ha), hb), hc), ge) -> new_esEs2(xv301, xv401, ha, hb, hc) new_esEs2(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), app(app(app(ty_@3, bab), bac), bad), fa, ge) -> new_esEs2(xv300, xv400, bab, bac, bad) new_esEs(Just(@3(xv300, xv301, xv302)), Just(@3(xv400, xv401, xv402)), app(app(app(ty_@3, eh), app(ty_[], gh)), ge)) -> new_esEs1(xv301, xv401, gh) new_esEs(Just(@3(xv300, xv301, xv302)), Just(@3(xv400, xv401, xv402)), app(app(app(ty_@3, eh), fa), app(app(ty_Either, fc), fd))) -> new_esEs0(xv302, xv402, fc, fd) new_esEs3(@2(xv300, xv301), @2(xv400, xv401), bag, app(ty_[], bbc)) -> new_esEs1(xv301, xv401, bbc) new_esEs(Just(Left(xv300)), Just(Left(xv400)), app(app(ty_Either, app(app(app(ty_@3, bf), bg), bh)), bb)) -> new_esEs2(xv300, xv400, bf, bg, bh) new_esEs0(Left(xv300), Left(xv400), app(app(ty_Either, bc), bd), bb) -> new_esEs0(xv300, xv400, bc, bd) new_esEs2(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), eh, fa, app(app(ty_Either, fc), fd)) -> new_esEs0(xv302, xv402, fc, fd) new_esEs(Just(Left(xv300)), Just(Left(xv400)), app(app(ty_Either, app(ty_Maybe, ba)), bb)) -> new_esEs(xv300, xv400, ba) new_esEs(Just(@3(xv300, xv301, xv302)), Just(@3(xv400, xv401, xv402)), app(app(app(ty_@3, app(app(ty_Either, hg), hh)), fa), ge)) -> new_esEs0(xv300, xv400, hg, hh) new_esEs3(@2(xv300, xv301), @2(xv400, xv401), app(app(app(ty_@3, bcf), bcg), bch), bcb) -> new_esEs2(xv300, xv400, bcf, bcg, bch) new_esEs3(@2(xv300, xv301), @2(xv400, xv401), bag, app(ty_Maybe, bah)) -> new_esEs(xv301, xv401, bah) new_esEs0(Right(xv300), Right(xv400), cc, app(ty_[], cg)) -> new_esEs1(xv300, xv400, cg) new_esEs0(Right(xv300), Right(xv400), cc, app(app(app(ty_@3, da), db), dc)) -> new_esEs2(xv300, xv400, da, db, dc) new_esEs2(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), app(ty_[], baa), fa, ge) -> new_esEs1(xv300, xv400, baa) new_esEs2(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), eh, fa, app(ty_Maybe, fb)) -> new_esEs(xv302, xv402, fb) new_esEs(Just(Right(xv300)), Just(Right(xv400)), app(app(ty_Either, cc), app(app(ty_@2, dd), de))) -> new_esEs3(xv300, xv400, dd, de) new_esEs(Just(:(xv300, xv301)), Just(:(xv400, xv401)), app(ty_[], df)) -> new_esEs1(xv301, xv401, df) new_esEs(Just(@3(xv300, xv301, xv302)), Just(@3(xv400, xv401, xv402)), app(app(app(ty_@3, eh), fa), app(ty_Maybe, fb))) -> new_esEs(xv302, xv402, fb) new_esEs(Just(@3(xv300, xv301, xv302)), Just(@3(xv400, xv401, xv402)), app(app(app(ty_@3, app(ty_Maybe, hf)), fa), ge)) -> new_esEs(xv300, xv400, hf) new_esEs(Just(@3(xv300, xv301, xv302)), Just(@3(xv400, xv401, xv402)), app(app(app(ty_@3, app(app(ty_@2, bae), baf)), fa), ge)) -> new_esEs3(xv300, xv400, bae, baf) new_esEs(Just(@3(xv300, xv301, xv302)), Just(@3(xv400, xv401, xv402)), app(app(app(ty_@3, app(app(app(ty_@3, bab), bac), bad)), fa), ge)) -> new_esEs2(xv300, xv400, bab, bac, bad) new_esEs3(@2(xv300, xv301), @2(xv400, xv401), bag, app(app(app(ty_@3, bbd), bbe), bbf)) -> new_esEs2(xv301, xv401, bbd, bbe, bbf) new_esEs(Just(Right(xv300)), Just(Right(xv400)), app(app(ty_Either, cc), app(ty_[], cg))) -> new_esEs1(xv300, xv400, cg) new_esEs(Just(@2(xv300, xv301)), Just(@2(xv400, xv401)), app(app(ty_@2, bag), app(ty_[], bbc))) -> new_esEs1(xv301, xv401, bbc) new_esEs0(Right(xv300), Right(xv400), cc, app(ty_Maybe, cd)) -> new_esEs(xv300, xv400, cd) new_esEs2(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), app(ty_Maybe, hf), fa, ge) -> new_esEs(xv300, xv400, hf) new_esEs(Just(:(xv300, xv301)), Just(:(xv400, xv401)), app(ty_[], app(ty_[], eb))) -> new_esEs1(xv300, xv400, eb) new_esEs2(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), eh, fa, app(ty_[], ff)) -> new_esEs1(xv302, xv402, ff) new_esEs1(:(xv300, xv301), :(xv400, xv401), app(ty_Maybe, dg)) -> new_esEs(xv300, xv400, dg) new_esEs3(@2(xv300, xv301), @2(xv400, xv401), bag, app(app(ty_Either, bba), bbb)) -> new_esEs0(xv301, xv401, bba, bbb) new_esEs(Just(:(xv300, xv301)), Just(:(xv400, xv401)), app(ty_[], app(app(app(ty_@3, ec), ed), ee))) -> new_esEs2(xv300, xv400, ec, ed, ee) new_esEs(Just(Left(xv300)), Just(Left(xv400)), app(app(ty_Either, app(app(ty_@2, ca), cb)), bb)) -> new_esEs3(xv300, xv400, ca, cb) new_esEs2(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), eh, fa, app(app(ty_@2, gb), gc)) -> new_esEs3(xv302, xv402, gb, gc) new_esEs0(Right(xv300), Right(xv400), cc, app(app(ty_Either, ce), cf)) -> new_esEs0(xv300, xv400, ce, cf) new_esEs(Just(Right(xv300)), Just(Right(xv400)), app(app(ty_Either, cc), app(app(ty_Either, ce), cf))) -> new_esEs0(xv300, xv400, ce, cf) new_esEs(Just(@2(xv300, xv301)), Just(@2(xv400, xv401)), app(app(ty_@2, bag), app(app(ty_@2, bbg), bbh))) -> new_esEs3(xv301, xv401, bbg, bbh) new_esEs(Just(@3(xv300, xv301, xv302)), Just(@3(xv400, xv401, xv402)), app(app(app(ty_@3, eh), app(app(ty_Either, gf), gg)), ge)) -> new_esEs0(xv301, xv401, gf, gg) new_esEs2(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), app(app(ty_@2, bae), baf), fa, ge) -> new_esEs3(xv300, xv400, bae, baf) new_esEs(Just(:(xv300, xv301)), Just(:(xv400, xv401)), app(ty_[], app(ty_Maybe, dg))) -> new_esEs(xv300, xv400, dg) new_esEs(Just(@2(xv300, xv301)), Just(@2(xv400, xv401)), app(app(ty_@2, app(ty_Maybe, bca)), bcb)) -> new_esEs(xv300, xv400, bca) new_esEs0(Left(xv300), Left(xv400), app(app(app(ty_@3, bf), bg), bh), bb) -> new_esEs2(xv300, xv400, bf, bg, bh) new_esEs(Just(@3(xv300, xv301, xv302)), Just(@3(xv400, xv401, xv402)), app(app(app(ty_@3, app(ty_[], baa)), fa), ge)) -> new_esEs1(xv300, xv400, baa) new_esEs3(@2(xv300, xv301), @2(xv400, xv401), bag, app(app(ty_@2, bbg), bbh)) -> new_esEs3(xv301, xv401, bbg, bbh) new_esEs0(Left(xv300), Left(xv400), app(app(ty_@2, ca), cb), bb) -> new_esEs3(xv300, xv400, ca, cb) new_esEs(Just(Right(xv300)), Just(Right(xv400)), app(app(ty_Either, cc), app(app(app(ty_@3, da), db), dc))) -> new_esEs2(xv300, xv400, da, db, dc) new_esEs0(Right(xv300), Right(xv400), cc, app(app(ty_@2, dd), de)) -> new_esEs3(xv300, xv400, dd, de) new_esEs2(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), eh, app(app(ty_Either, gf), gg), ge) -> new_esEs0(xv301, xv401, gf, gg) new_esEs(Just(@2(xv300, xv301)), Just(@2(xv400, xv401)), app(app(ty_@2, app(ty_[], bce)), bcb)) -> new_esEs1(xv300, xv400, bce) new_esEs2(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), app(app(ty_Either, hg), hh), fa, ge) -> new_esEs0(xv300, xv400, hg, hh) new_esEs3(@2(xv300, xv301), @2(xv400, xv401), app(app(ty_@2, bda), bdb), bcb) -> new_esEs3(xv300, xv400, bda, bdb) new_esEs1(:(xv300, xv301), :(xv400, xv401), df) -> new_esEs1(xv301, xv401, df) new_esEs(Just(@3(xv300, xv301, xv302)), Just(@3(xv400, xv401, xv402)), app(app(app(ty_@3, eh), fa), app(ty_[], ff))) -> new_esEs1(xv302, xv402, ff) new_esEs0(Left(xv300), Left(xv400), app(ty_[], be), bb) -> new_esEs1(xv300, xv400, be) new_esEs1(:(xv300, xv301), :(xv400, xv401), app(ty_[], eb)) -> new_esEs1(xv300, xv400, eb) new_esEs1(:(xv300, xv301), :(xv400, xv401), app(app(ty_@2, ef), eg)) -> new_esEs3(xv300, xv400, ef, eg) new_esEs(Just(@2(xv300, xv301)), Just(@2(xv400, xv401)), app(app(ty_@2, app(app(ty_@2, bda), bdb)), bcb)) -> new_esEs3(xv300, xv400, bda, bdb) new_esEs(Just(@2(xv300, xv301)), Just(@2(xv400, xv401)), app(app(ty_@2, bag), app(app(ty_Either, bba), bbb))) -> new_esEs0(xv301, xv401, bba, bbb) new_esEs(Just(@3(xv300, xv301, xv302)), Just(@3(xv400, xv401, xv402)), app(app(app(ty_@3, eh), fa), app(app(ty_@2, gb), gc))) -> new_esEs3(xv302, xv402, gb, gc) new_esEs1(:(xv300, xv301), :(xv400, xv401), app(app(app(ty_@3, ec), ed), ee)) -> new_esEs2(xv300, xv400, ec, ed, ee) new_esEs2(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), eh, fa, app(app(app(ty_@3, fg), fh), ga)) -> new_esEs2(xv302, xv402, fg, fh, ga) new_esEs3(@2(xv300, xv301), @2(xv400, xv401), app(ty_Maybe, bca), bcb) -> new_esEs(xv300, xv400, bca) new_esEs(Just(@2(xv300, xv301)), Just(@2(xv400, xv401)), app(app(ty_@2, app(app(app(ty_@3, bcf), bcg), bch)), bcb)) -> new_esEs2(xv300, xv400, bcf, bcg, bch) new_esEs2(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), eh, app(ty_Maybe, gd), ge) -> new_esEs(xv301, xv401, gd) new_esEs(Just(Left(xv300)), Just(Left(xv400)), app(app(ty_Either, app(app(ty_Either, bc), bd)), bb)) -> new_esEs0(xv300, xv400, bc, bd) new_esEs(Just(@2(xv300, xv301)), Just(@2(xv400, xv401)), app(app(ty_@2, app(app(ty_Either, bcc), bcd)), bcb)) -> new_esEs0(xv300, xv400, bcc, bcd) new_esEs2(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), eh, app(ty_[], gh), ge) -> new_esEs1(xv301, xv401, gh) new_esEs3(@2(xv300, xv301), @2(xv400, xv401), app(ty_[], bce), bcb) -> new_esEs1(xv300, xv400, bce) 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_esEs1(:(xv300, xv301), :(xv400, xv401), app(ty_Maybe, dg)) -> new_esEs(xv300, xv400, dg) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs1(:(xv300, xv301), :(xv400, xv401), app(app(ty_@2, ef), eg)) -> new_esEs3(xv300, xv400, ef, eg) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs1(:(xv300, xv301), :(xv400, xv401), app(app(ty_Either, dh), ea)) -> new_esEs0(xv300, xv400, dh, ea) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs1(:(xv300, xv301), :(xv400, xv401), app(app(app(ty_@3, ec), ed), ee)) -> new_esEs2(xv300, xv400, ec, ed, ee) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 *new_esEs0(Right(xv300), Right(xv400), cc, app(ty_[], cg)) -> new_esEs1(xv300, xv400, cg) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 *new_esEs0(Left(xv300), Left(xv400), app(ty_[], be), bb) -> new_esEs1(xv300, xv400, be) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs0(Left(xv300), Left(xv400), app(ty_Maybe, ba), bb) -> new_esEs(xv300, xv400, ba) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs0(Right(xv300), Right(xv400), cc, app(ty_Maybe, cd)) -> new_esEs(xv300, xv400, cd) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 *new_esEs0(Left(xv300), Left(xv400), app(app(ty_@2, ca), cb), bb) -> new_esEs3(xv300, xv400, ca, cb) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs0(Right(xv300), Right(xv400), cc, app(app(ty_@2, dd), de)) -> new_esEs3(xv300, xv400, dd, de) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 *new_esEs0(Left(xv300), Left(xv400), app(app(ty_Either, bc), bd), bb) -> new_esEs0(xv300, xv400, bc, bd) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs0(Right(xv300), Right(xv400), cc, app(app(ty_Either, ce), cf)) -> new_esEs0(xv300, xv400, ce, cf) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 *new_esEs0(Right(xv300), Right(xv400), cc, app(app(app(ty_@3, da), db), dc)) -> new_esEs2(xv300, xv400, da, db, dc) 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, bf), bg), bh), bb) -> new_esEs2(xv300, xv400, bf, bg, bh) 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), app(ty_[], baa), fa, ge) -> new_esEs1(xv300, xv400, baa) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs2(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), eh, fa, app(ty_[], ff)) -> new_esEs1(xv302, xv402, ff) The graph contains the following edges 1 > 1, 2 > 2, 5 > 3 *new_esEs2(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), eh, app(ty_[], gh), ge) -> new_esEs1(xv301, xv401, gh) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 *new_esEs(Just(Left(xv300)), Just(Left(xv400)), app(app(ty_Either, app(ty_[], be)), bb)) -> new_esEs1(xv300, xv400, be) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs(Just(@3(xv300, xv301, xv302)), Just(@3(xv400, xv401, xv402)), app(app(app(ty_@3, eh), app(ty_[], gh)), ge)) -> new_esEs1(xv301, xv401, gh) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs(Just(:(xv300, xv301)), Just(:(xv400, xv401)), app(ty_[], df)) -> new_esEs1(xv301, xv401, df) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs(Just(Right(xv300)), Just(Right(xv400)), app(app(ty_Either, cc), app(ty_[], cg))) -> new_esEs1(xv300, xv400, cg) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs(Just(@2(xv300, xv301)), Just(@2(xv400, xv401)), app(app(ty_@2, bag), app(ty_[], bbc))) -> new_esEs1(xv301, xv401, bbc) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs(Just(:(xv300, xv301)), Just(:(xv400, xv401)), app(ty_[], app(ty_[], eb))) -> new_esEs1(xv300, xv400, eb) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs(Just(@3(xv300, xv301, xv302)), Just(@3(xv400, xv401, xv402)), app(app(app(ty_@3, app(ty_[], baa)), fa), ge)) -> new_esEs1(xv300, xv400, baa) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs(Just(@2(xv300, xv301)), Just(@2(xv400, xv401)), app(app(ty_@2, app(ty_[], bce)), bcb)) -> new_esEs1(xv300, xv400, bce) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs(Just(@3(xv300, xv301, xv302)), Just(@3(xv400, xv401, xv402)), app(app(app(ty_@3, eh), fa), app(ty_[], ff))) -> new_esEs1(xv302, xv402, ff) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs3(@2(xv300, xv301), @2(xv400, xv401), bag, app(ty_[], bbc)) -> new_esEs1(xv301, xv401, bbc) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 *new_esEs3(@2(xv300, xv301), @2(xv400, xv401), app(ty_[], bce), bcb) -> new_esEs1(xv300, xv400, bce) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs1(:(xv300, xv301), :(xv400, xv401), df) -> new_esEs1(xv301, xv401, df) The graph contains the following edges 1 > 1, 2 > 2, 3 >= 3 *new_esEs1(:(xv300, xv301), :(xv400, xv401), app(ty_[], eb)) -> new_esEs1(xv300, xv400, eb) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs2(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), eh, fa, app(ty_Maybe, fb)) -> new_esEs(xv302, xv402, fb) 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, hf), fa, ge) -> new_esEs(xv300, xv400, hf) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs2(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), eh, app(ty_Maybe, gd), ge) -> new_esEs(xv301, xv401, gd) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 *new_esEs(Just(@3(xv300, xv301, xv302)), Just(@3(xv400, xv401, xv402)), app(app(app(ty_@3, eh), app(ty_Maybe, gd)), ge)) -> new_esEs(xv301, xv401, gd) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs(Just(@2(xv300, xv301)), Just(@2(xv400, xv401)), app(app(ty_@2, bag), app(ty_Maybe, bah))) -> new_esEs(xv301, xv401, bah) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs(Just(Right(xv300)), Just(Right(xv400)), app(app(ty_Either, cc), app(ty_Maybe, cd))) -> new_esEs(xv300, xv400, cd) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs(Just(xv30), Just(xv40), app(ty_Maybe, h)) -> new_esEs(xv30, xv40, h) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs(Just(Left(xv300)), Just(Left(xv400)), app(app(ty_Either, app(ty_Maybe, ba)), bb)) -> new_esEs(xv300, xv400, ba) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs(Just(@3(xv300, xv301, xv302)), Just(@3(xv400, xv401, xv402)), app(app(app(ty_@3, eh), fa), app(ty_Maybe, fb))) -> new_esEs(xv302, xv402, fb) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs(Just(@3(xv300, xv301, xv302)), Just(@3(xv400, xv401, xv402)), app(app(app(ty_@3, app(ty_Maybe, hf)), fa), ge)) -> new_esEs(xv300, xv400, hf) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs(Just(:(xv300, xv301)), Just(:(xv400, xv401)), app(ty_[], app(ty_Maybe, dg))) -> new_esEs(xv300, xv400, dg) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs(Just(@2(xv300, xv301)), Just(@2(xv400, xv401)), app(app(ty_@2, app(ty_Maybe, bca)), bcb)) -> new_esEs(xv300, xv400, bca) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs3(@2(xv300, xv301), @2(xv400, xv401), bag, app(ty_Maybe, bah)) -> new_esEs(xv301, xv401, bah) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 *new_esEs3(@2(xv300, xv301), @2(xv400, xv401), app(ty_Maybe, bca), bcb) -> new_esEs(xv300, xv400, bca) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs2(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), eh, app(app(ty_@2, hd), he), ge) -> new_esEs3(xv301, xv401, hd, he) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 *new_esEs2(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), eh, fa, app(app(ty_@2, gb), gc)) -> new_esEs3(xv302, xv402, gb, gc) 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, bae), baf), fa, ge) -> new_esEs3(xv300, xv400, bae, baf) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs2(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), eh, fa, app(app(ty_Either, fc), fd)) -> new_esEs0(xv302, xv402, fc, fd) The graph contains the following edges 1 > 1, 2 > 2, 5 > 3, 5 > 4 *new_esEs2(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), eh, app(app(ty_Either, gf), gg), ge) -> new_esEs0(xv301, xv401, gf, gg) 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, hg), hh), fa, ge) -> new_esEs0(xv300, xv400, hg, hh) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs2(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), eh, app(app(app(ty_@3, ha), hb), hc), ge) -> new_esEs2(xv301, xv401, ha, hb, hc) 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, bab), bac), bad), fa, ge) -> new_esEs2(xv300, xv400, bab, bac, bad) 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), eh, fa, app(app(app(ty_@3, fg), fh), ga)) -> new_esEs2(xv302, xv402, fg, fh, ga) The graph contains the following edges 1 > 1, 2 > 2, 5 > 3, 5 > 4, 5 > 5 *new_esEs(Just(:(xv300, xv301)), Just(:(xv400, xv401)), app(ty_[], app(app(ty_@2, ef), eg))) -> new_esEs3(xv300, xv400, ef, eg) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs(Just(@3(xv300, xv301, xv302)), Just(@3(xv400, xv401, xv402)), app(app(app(ty_@3, eh), app(app(ty_@2, hd), he)), ge)) -> new_esEs3(xv301, xv401, hd, he) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs(Just(Right(xv300)), Just(Right(xv400)), app(app(ty_Either, cc), app(app(ty_@2, dd), de))) -> new_esEs3(xv300, xv400, dd, de) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs(Just(@3(xv300, xv301, xv302)), Just(@3(xv400, xv401, xv402)), app(app(app(ty_@3, app(app(ty_@2, bae), baf)), fa), ge)) -> new_esEs3(xv300, xv400, bae, baf) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs(Just(Left(xv300)), Just(Left(xv400)), app(app(ty_Either, app(app(ty_@2, ca), cb)), bb)) -> new_esEs3(xv300, xv400, ca, cb) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs(Just(@2(xv300, xv301)), Just(@2(xv400, xv401)), app(app(ty_@2, bag), app(app(ty_@2, bbg), bbh))) -> new_esEs3(xv301, xv401, bbg, bbh) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs(Just(@2(xv300, xv301)), Just(@2(xv400, xv401)), app(app(ty_@2, app(app(ty_@2, bda), bdb)), bcb)) -> new_esEs3(xv300, xv400, bda, bdb) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs(Just(@3(xv300, xv301, xv302)), Just(@3(xv400, xv401, xv402)), app(app(app(ty_@3, eh), fa), app(app(ty_@2, gb), gc))) -> new_esEs3(xv302, xv402, gb, gc) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs3(@2(xv300, xv301), @2(xv400, xv401), bag, app(app(ty_@2, bbg), bbh)) -> new_esEs3(xv301, xv401, bbg, bbh) 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, bda), bdb), bcb) -> new_esEs3(xv300, xv400, bda, bdb) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs(Just(:(xv300, xv301)), Just(:(xv400, xv401)), app(ty_[], app(app(ty_Either, dh), ea))) -> new_esEs0(xv300, xv400, dh, ea) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs(Just(@3(xv300, xv301, xv302)), Just(@3(xv400, xv401, xv402)), app(app(app(ty_@3, eh), fa), app(app(ty_Either, fc), fd))) -> new_esEs0(xv302, xv402, fc, fd) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs(Just(@3(xv300, xv301, xv302)), Just(@3(xv400, xv401, xv402)), app(app(app(ty_@3, app(app(ty_Either, hg), hh)), fa), ge)) -> new_esEs0(xv300, xv400, hg, hh) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs(Just(Right(xv300)), Just(Right(xv400)), app(app(ty_Either, cc), app(app(ty_Either, ce), cf))) -> new_esEs0(xv300, xv400, ce, cf) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs(Just(@3(xv300, xv301, xv302)), Just(@3(xv400, xv401, xv402)), app(app(app(ty_@3, eh), app(app(ty_Either, gf), gg)), ge)) -> new_esEs0(xv301, xv401, gf, gg) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs(Just(@2(xv300, xv301)), Just(@2(xv400, xv401)), app(app(ty_@2, bag), app(app(ty_Either, bba), bbb))) -> new_esEs0(xv301, xv401, bba, bbb) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs(Just(Left(xv300)), Just(Left(xv400)), app(app(ty_Either, app(app(ty_Either, bc), bd)), bb)) -> new_esEs0(xv300, xv400, bc, bd) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs(Just(@2(xv300, xv301)), Just(@2(xv400, xv401)), app(app(ty_@2, app(app(ty_Either, bcc), bcd)), bcb)) -> new_esEs0(xv300, xv400, bcc, bcd) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs(Just(@3(xv300, xv301, xv302)), Just(@3(xv400, xv401, xv402)), app(app(app(ty_@3, eh), fa), app(app(app(ty_@3, fg), fh), ga))) -> new_esEs2(xv302, xv402, fg, fh, ga) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 *new_esEs(Just(@3(xv300, xv301, xv302)), Just(@3(xv400, xv401, xv402)), app(app(app(ty_@3, eh), app(app(app(ty_@3, ha), hb), hc)), ge)) -> new_esEs2(xv301, xv401, ha, hb, hc) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 *new_esEs(Just(@2(xv300, xv301)), Just(@2(xv400, xv401)), app(app(ty_@2, bag), app(app(app(ty_@3, bbd), bbe), bbf))) -> new_esEs2(xv301, xv401, bbd, bbe, bbf) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 *new_esEs(Just(Left(xv300)), Just(Left(xv400)), app(app(ty_Either, app(app(app(ty_@3, bf), bg), bh)), bb)) -> new_esEs2(xv300, xv400, bf, bg, bh) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 *new_esEs(Just(@3(xv300, xv301, xv302)), Just(@3(xv400, xv401, xv402)), app(app(app(ty_@3, app(app(app(ty_@3, bab), bac), bad)), fa), ge)) -> new_esEs2(xv300, xv400, bab, bac, bad) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 *new_esEs(Just(:(xv300, xv301)), Just(:(xv400, xv401)), app(ty_[], app(app(app(ty_@3, ec), ed), ee))) -> new_esEs2(xv300, xv400, ec, ed, ee) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 *new_esEs(Just(Right(xv300)), Just(Right(xv400)), app(app(ty_Either, cc), app(app(app(ty_@3, da), db), dc))) -> new_esEs2(xv300, xv400, da, db, dc) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 *new_esEs(Just(@2(xv300, xv301)), Just(@2(xv400, xv401)), app(app(ty_@2, app(app(app(ty_@3, bcf), bcg), bch)), bcb)) -> new_esEs2(xv300, xv400, bcf, bcg, bch) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 *new_esEs3(@2(xv300, xv301), @2(xv400, xv401), app(app(ty_Either, bcc), bcd), bcb) -> new_esEs0(xv300, xv400, bcc, bcd) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs3(@2(xv300, xv301), @2(xv400, xv401), bag, app(app(ty_Either, bba), bbb)) -> new_esEs0(xv301, xv401, bba, bbb) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 *new_esEs3(@2(xv300, xv301), @2(xv400, xv401), app(app(app(ty_@3, bcf), bcg), bch), bcb) -> new_esEs2(xv300, xv400, bcf, bcg, bch) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 *new_esEs3(@2(xv300, xv301), @2(xv400, xv401), bag, app(app(app(ty_@3, bbd), bbe), bbf)) -> new_esEs2(xv301, xv401, bbd, bbe, bbf) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4, 4 > 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(xv1800), Succ(xv401000)) -> new_primPlusNat(xv1800, 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(xv1800), Succ(xv401000)) -> new_primPlusNat(xv1800, 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