/export/starexec/sandbox/solver/bin/starexec_run_standard /export/starexec/sandbox/benchmark/theBenchmark.hs /export/starexec/sandbox/output/output_files -------------------------------------------------------------------------------- YES proof of /export/starexec/sandbox/benchmark/theBenchmark.hs # AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty H-Termination with start terms of the given HASKELL could be proven: (0) HASKELL (1) BR [EQUIVALENT, 0 ms] (2) HASKELL (3) COR [EQUIVALENT, 0 ms] (4) HASKELL (5) Narrow [SOUND, 0 ms] (6) AND (7) QDP (8) QDPSizeChangeProof [EQUIVALENT, 0 ms] (9) YES (10) QDP (11) QDPSizeChangeProof [EQUIVALENT, 0 ms] (12) YES (13) QDP (14) QDPSizeChangeProof [EQUIVALENT, 0 ms] (15) YES (16) QDP (17) QDPSizeChangeProof [EQUIVALENT, 0 ms] (18) YES ---------------------------------------- (0) Obligation: mainModule Main module Main where { import qualified Prelude; } ---------------------------------------- (1) BR (EQUIVALENT) Replaced joker patterns by fresh variables and removed binding patterns. ---------------------------------------- (2) Obligation: mainModule Main module Main where { import qualified Prelude; } ---------------------------------------- (3) COR (EQUIVALENT) Cond Reductions: The following Function with conditions "undefined |Falseundefined; " is transformed to "undefined = undefined1; " "undefined0 True = undefined; " "undefined1 = undefined0 False; " ---------------------------------------- (4) Obligation: mainModule Main module Main where { import qualified Prelude; } ---------------------------------------- (5) Narrow (SOUND) Haskell To QDPs digraph dp_graph { node [outthreshold=100, inthreshold=100];1[label="(==)",fontsize=16,color="grey",shape="box"];1 -> 3[label="",style="dashed", color="grey", weight=3]; 3[label="(==) xv3",fontsize=16,color="grey",shape="box"];3 -> 4[label="",style="dashed", color="grey", weight=3]; 4[label="(==) xv3 xv4",fontsize=16,color="burlywood",shape="triangle"];627[label="xv3/Left xv30",fontsize=10,color="white",style="solid",shape="box"];4 -> 627[label="",style="solid", color="burlywood", weight=9]; 627 -> 5[label="",style="solid", color="burlywood", weight=3]; 628[label="xv3/Right xv30",fontsize=10,color="white",style="solid",shape="box"];4 -> 628[label="",style="solid", color="burlywood", weight=9]; 628 -> 6[label="",style="solid", color="burlywood", weight=3]; 5[label="(==) Left xv30 xv4",fontsize=16,color="burlywood",shape="box"];629[label="xv4/Left xv40",fontsize=10,color="white",style="solid",shape="box"];5 -> 629[label="",style="solid", color="burlywood", weight=9]; 629 -> 7[label="",style="solid", color="burlywood", weight=3]; 630[label="xv4/Right xv40",fontsize=10,color="white",style="solid",shape="box"];5 -> 630[label="",style="solid", color="burlywood", weight=9]; 630 -> 8[label="",style="solid", color="burlywood", weight=3]; 6[label="(==) Right xv30 xv4",fontsize=16,color="burlywood",shape="box"];631[label="xv4/Left xv40",fontsize=10,color="white",style="solid",shape="box"];6 -> 631[label="",style="solid", color="burlywood", weight=9]; 631 -> 9[label="",style="solid", color="burlywood", weight=3]; 632[label="xv4/Right xv40",fontsize=10,color="white",style="solid",shape="box"];6 -> 632[label="",style="solid", color="burlywood", weight=9]; 632 -> 10[label="",style="solid", color="burlywood", weight=3]; 7[label="(==) Left xv30 Left xv40",fontsize=16,color="black",shape="box"];7 -> 11[label="",style="solid", color="black", weight=3]; 8[label="(==) Left xv30 Right xv40",fontsize=16,color="black",shape="box"];8 -> 12[label="",style="solid", color="black", weight=3]; 9[label="(==) Right xv30 Left xv40",fontsize=16,color="black",shape="box"];9 -> 13[label="",style="solid", color="black", weight=3]; 10[label="(==) Right xv30 Right xv40",fontsize=16,color="black",shape="box"];10 -> 14[label="",style="solid", color="black", weight=3]; 11[label="xv30 == xv40",fontsize=16,color="blue",shape="box"];633[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];11 -> 633[label="",style="solid", color="blue", weight=9]; 633 -> 15[label="",style="solid", color="blue", weight=3]; 634[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];11 -> 634[label="",style="solid", color="blue", weight=9]; 634 -> 16[label="",style="solid", color="blue", weight=3]; 635[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];11 -> 635[label="",style="solid", color="blue", weight=9]; 635 -> 17[label="",style="solid", color="blue", weight=3]; 636[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];11 -> 636[label="",style="solid", color="blue", weight=9]; 636 -> 18[label="",style="solid", color="blue", weight=3]; 637[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];11 -> 637[label="",style="solid", color="blue", weight=9]; 637 -> 19[label="",style="solid", color="blue", weight=3]; 638[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];11 -> 638[label="",style="solid", color="blue", weight=9]; 638 -> 20[label="",style="solid", color="blue", weight=3]; 639[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];11 -> 639[label="",style="solid", color="blue", weight=9]; 639 -> 21[label="",style="solid", color="blue", weight=3]; 640[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];11 -> 640[label="",style="solid", color="blue", weight=9]; 640 -> 22[label="",style="solid", color="blue", weight=3]; 641[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];11 -> 641[label="",style="solid", color="blue", weight=9]; 641 -> 23[label="",style="solid", color="blue", weight=3]; 642[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];11 -> 642[label="",style="solid", color="blue", weight=9]; 642 -> 24[label="",style="solid", color="blue", weight=3]; 643[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];11 -> 643[label="",style="solid", color="blue", weight=9]; 643 -> 25[label="",style="solid", color="blue", weight=3]; 644[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];11 -> 644[label="",style="solid", color="blue", weight=9]; 644 -> 26[label="",style="solid", color="blue", weight=3]; 645[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];11 -> 645[label="",style="solid", color="blue", weight=9]; 645 -> 27[label="",style="solid", color="blue", weight=3]; 646[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];11 -> 646[label="",style="solid", color="blue", weight=9]; 646 -> 28[label="",style="solid", color="blue", weight=3]; 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"];647[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];14 -> 647[label="",style="solid", color="blue", weight=9]; 647 -> 29[label="",style="solid", color="blue", weight=3]; 648[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];14 -> 648[label="",style="solid", color="blue", weight=9]; 648 -> 30[label="",style="solid", color="blue", weight=3]; 649[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];14 -> 649[label="",style="solid", color="blue", weight=9]; 649 -> 31[label="",style="solid", color="blue", weight=3]; 650[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];14 -> 650[label="",style="solid", color="blue", weight=9]; 650 -> 32[label="",style="solid", color="blue", weight=3]; 651[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];14 -> 651[label="",style="solid", color="blue", weight=9]; 651 -> 33[label="",style="solid", color="blue", weight=3]; 652[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];14 -> 652[label="",style="solid", color="blue", weight=9]; 652 -> 34[label="",style="solid", color="blue", weight=3]; 653[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];14 -> 653[label="",style="solid", color="blue", weight=9]; 653 -> 35[label="",style="solid", color="blue", weight=3]; 654[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];14 -> 654[label="",style="solid", color="blue", weight=9]; 654 -> 36[label="",style="solid", color="blue", weight=3]; 655[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];14 -> 655[label="",style="solid", color="blue", weight=9]; 655 -> 37[label="",style="solid", color="blue", weight=3]; 656[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];14 -> 656[label="",style="solid", color="blue", weight=9]; 656 -> 38[label="",style="solid", color="blue", weight=3]; 657[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];14 -> 657[label="",style="solid", color="blue", weight=9]; 657 -> 39[label="",style="solid", color="blue", weight=3]; 658[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];14 -> 658[label="",style="solid", color="blue", weight=9]; 658 -> 40[label="",style="solid", color="blue", weight=3]; 659[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];14 -> 659[label="",style="solid", color="blue", weight=9]; 659 -> 41[label="",style="solid", color="blue", weight=3]; 660[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];14 -> 660[label="",style="solid", color="blue", weight=9]; 660 -> 42[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 -> 43[label="",style="dashed", color="magenta", weight=3]; 15 -> 44[label="",style="dashed", color="magenta", weight=3]; 16[label="xv30 == xv40",fontsize=16,color="burlywood",shape="triangle"];661[label="xv30/False",fontsize=10,color="white",style="solid",shape="box"];16 -> 661[label="",style="solid", color="burlywood", weight=9]; 661 -> 45[label="",style="solid", color="burlywood", weight=3]; 662[label="xv30/True",fontsize=10,color="white",style="solid",shape="box"];16 -> 662[label="",style="solid", color="burlywood", weight=9]; 662 -> 46[label="",style="solid", color="burlywood", weight=3]; 17[label="xv30 == xv40",fontsize=16,color="black",shape="triangle"];17 -> 47[label="",style="solid", color="black", weight=3]; 18[label="xv30 == xv40",fontsize=16,color="burlywood",shape="triangle"];663[label="xv30/(xv300,xv301,xv302)",fontsize=10,color="white",style="solid",shape="box"];18 -> 663[label="",style="solid", color="burlywood", weight=9]; 663 -> 48[label="",style="solid", color="burlywood", weight=3]; 19[label="xv30 == xv40",fontsize=16,color="black",shape="triangle"];19 -> 49[label="",style="solid", color="black", weight=3]; 20[label="xv30 == xv40",fontsize=16,color="burlywood",shape="triangle"];664[label="xv30/Integer xv300",fontsize=10,color="white",style="solid",shape="box"];20 -> 664[label="",style="solid", color="burlywood", weight=9]; 664 -> 50[label="",style="solid", color="burlywood", weight=3]; 21[label="xv30 == xv40",fontsize=16,color="burlywood",shape="triangle"];665[label="xv30/xv300 :% xv301",fontsize=10,color="white",style="solid",shape="box"];21 -> 665[label="",style="solid", color="burlywood", weight=9]; 665 -> 51[label="",style="solid", color="burlywood", weight=3]; 22[label="xv30 == xv40",fontsize=16,color="burlywood",shape="triangle"];666[label="xv30/LT",fontsize=10,color="white",style="solid",shape="box"];22 -> 666[label="",style="solid", color="burlywood", weight=9]; 666 -> 52[label="",style="solid", color="burlywood", weight=3]; 667[label="xv30/EQ",fontsize=10,color="white",style="solid",shape="box"];22 -> 667[label="",style="solid", color="burlywood", weight=9]; 667 -> 53[label="",style="solid", color="burlywood", weight=3]; 668[label="xv30/GT",fontsize=10,color="white",style="solid",shape="box"];22 -> 668[label="",style="solid", color="burlywood", weight=9]; 668 -> 54[label="",style="solid", color="burlywood", weight=3]; 23[label="xv30 == xv40",fontsize=16,color="burlywood",shape="triangle"];669[label="xv30/Nothing",fontsize=10,color="white",style="solid",shape="box"];23 -> 669[label="",style="solid", color="burlywood", weight=9]; 669 -> 55[label="",style="solid", color="burlywood", weight=3]; 670[label="xv30/Just xv300",fontsize=10,color="white",style="solid",shape="box"];23 -> 670[label="",style="solid", color="burlywood", weight=9]; 670 -> 56[label="",style="solid", color="burlywood", weight=3]; 24[label="xv30 == xv40",fontsize=16,color="burlywood",shape="triangle"];671[label="xv30/xv300 : xv301",fontsize=10,color="white",style="solid",shape="box"];24 -> 671[label="",style="solid", color="burlywood", weight=9]; 671 -> 57[label="",style="solid", color="burlywood", weight=3]; 672[label="xv30/[]",fontsize=10,color="white",style="solid",shape="box"];24 -> 672[label="",style="solid", color="burlywood", weight=9]; 672 -> 58[label="",style="solid", color="burlywood", weight=3]; 25[label="xv30 == xv40",fontsize=16,color="black",shape="triangle"];25 -> 59[label="",style="solid", color="black", weight=3]; 26[label="xv30 == xv40",fontsize=16,color="burlywood",shape="triangle"];673[label="xv30/()",fontsize=10,color="white",style="solid",shape="box"];26 -> 673[label="",style="solid", color="burlywood", weight=9]; 673 -> 60[label="",style="solid", color="burlywood", weight=3]; 27[label="xv30 == xv40",fontsize=16,color="black",shape="triangle"];27 -> 61[label="",style="solid", color="black", weight=3]; 28[label="xv30 == xv40",fontsize=16,color="burlywood",shape="triangle"];674[label="xv30/(xv300,xv301)",fontsize=10,color="white",style="solid",shape="box"];28 -> 674[label="",style="solid", color="burlywood", weight=9]; 674 -> 62[label="",style="solid", color="burlywood", weight=3]; 29 -> 4[label="",style="dashed", color="red", weight=0]; 29[label="xv30 == xv40",fontsize=16,color="magenta"];29 -> 63[label="",style="dashed", color="magenta", weight=3]; 29 -> 64[label="",style="dashed", color="magenta", weight=3]; 30 -> 16[label="",style="dashed", color="red", weight=0]; 30[label="xv30 == xv40",fontsize=16,color="magenta"];30 -> 65[label="",style="dashed", color="magenta", weight=3]; 30 -> 66[label="",style="dashed", color="magenta", weight=3]; 31 -> 17[label="",style="dashed", color="red", weight=0]; 31[label="xv30 == xv40",fontsize=16,color="magenta"];31 -> 67[label="",style="dashed", color="magenta", weight=3]; 31 -> 68[label="",style="dashed", color="magenta", weight=3]; 32 -> 18[label="",style="dashed", color="red", weight=0]; 32[label="xv30 == xv40",fontsize=16,color="magenta"];32 -> 69[label="",style="dashed", color="magenta", weight=3]; 32 -> 70[label="",style="dashed", color="magenta", weight=3]; 33 -> 19[label="",style="dashed", color="red", weight=0]; 33[label="xv30 == xv40",fontsize=16,color="magenta"];33 -> 71[label="",style="dashed", color="magenta", weight=3]; 33 -> 72[label="",style="dashed", color="magenta", weight=3]; 34 -> 20[label="",style="dashed", color="red", weight=0]; 34[label="xv30 == xv40",fontsize=16,color="magenta"];34 -> 73[label="",style="dashed", color="magenta", weight=3]; 34 -> 74[label="",style="dashed", color="magenta", weight=3]; 35 -> 21[label="",style="dashed", color="red", weight=0]; 35[label="xv30 == xv40",fontsize=16,color="magenta"];35 -> 75[label="",style="dashed", color="magenta", weight=3]; 35 -> 76[label="",style="dashed", color="magenta", weight=3]; 36 -> 22[label="",style="dashed", color="red", weight=0]; 36[label="xv30 == xv40",fontsize=16,color="magenta"];36 -> 77[label="",style="dashed", color="magenta", weight=3]; 36 -> 78[label="",style="dashed", color="magenta", weight=3]; 37 -> 23[label="",style="dashed", color="red", weight=0]; 37[label="xv30 == xv40",fontsize=16,color="magenta"];37 -> 79[label="",style="dashed", color="magenta", weight=3]; 37 -> 80[label="",style="dashed", color="magenta", weight=3]; 38 -> 24[label="",style="dashed", color="red", weight=0]; 38[label="xv30 == xv40",fontsize=16,color="magenta"];38 -> 81[label="",style="dashed", color="magenta", weight=3]; 38 -> 82[label="",style="dashed", color="magenta", weight=3]; 39 -> 25[label="",style="dashed", color="red", weight=0]; 39[label="xv30 == xv40",fontsize=16,color="magenta"];39 -> 83[label="",style="dashed", color="magenta", weight=3]; 39 -> 84[label="",style="dashed", color="magenta", weight=3]; 40 -> 26[label="",style="dashed", color="red", weight=0]; 40[label="xv30 == xv40",fontsize=16,color="magenta"];40 -> 85[label="",style="dashed", color="magenta", weight=3]; 40 -> 86[label="",style="dashed", color="magenta", weight=3]; 41 -> 27[label="",style="dashed", color="red", weight=0]; 41[label="xv30 == xv40",fontsize=16,color="magenta"];41 -> 87[label="",style="dashed", color="magenta", weight=3]; 41 -> 88[label="",style="dashed", color="magenta", weight=3]; 42 -> 28[label="",style="dashed", color="red", weight=0]; 42[label="xv30 == xv40",fontsize=16,color="magenta"];42 -> 89[label="",style="dashed", color="magenta", weight=3]; 42 -> 90[label="",style="dashed", color="magenta", weight=3]; 43[label="xv40",fontsize=16,color="green",shape="box"];44[label="xv30",fontsize=16,color="green",shape="box"];45[label="False == xv40",fontsize=16,color="burlywood",shape="box"];675[label="xv40/False",fontsize=10,color="white",style="solid",shape="box"];45 -> 675[label="",style="solid", color="burlywood", weight=9]; 675 -> 91[label="",style="solid", color="burlywood", weight=3]; 676[label="xv40/True",fontsize=10,color="white",style="solid",shape="box"];45 -> 676[label="",style="solid", color="burlywood", weight=9]; 676 -> 92[label="",style="solid", color="burlywood", weight=3]; 46[label="True == xv40",fontsize=16,color="burlywood",shape="box"];677[label="xv40/False",fontsize=10,color="white",style="solid",shape="box"];46 -> 677[label="",style="solid", color="burlywood", weight=9]; 677 -> 93[label="",style="solid", color="burlywood", weight=3]; 678[label="xv40/True",fontsize=10,color="white",style="solid",shape="box"];46 -> 678[label="",style="solid", color="burlywood", weight=9]; 678 -> 94[label="",style="solid", color="burlywood", weight=3]; 47[label="primEqChar xv30 xv40",fontsize=16,color="burlywood",shape="box"];679[label="xv30/Char xv300",fontsize=10,color="white",style="solid",shape="box"];47 -> 679[label="",style="solid", color="burlywood", weight=9]; 679 -> 95[label="",style="solid", color="burlywood", weight=3]; 48[label="(xv300,xv301,xv302) == xv40",fontsize=16,color="burlywood",shape="box"];680[label="xv40/(xv400,xv401,xv402)",fontsize=10,color="white",style="solid",shape="box"];48 -> 680[label="",style="solid", color="burlywood", weight=9]; 680 -> 96[label="",style="solid", color="burlywood", weight=3]; 49[label="primEqInt xv30 xv40",fontsize=16,color="burlywood",shape="triangle"];681[label="xv30/Pos xv300",fontsize=10,color="white",style="solid",shape="box"];49 -> 681[label="",style="solid", color="burlywood", weight=9]; 681 -> 97[label="",style="solid", color="burlywood", weight=3]; 682[label="xv30/Neg xv300",fontsize=10,color="white",style="solid",shape="box"];49 -> 682[label="",style="solid", color="burlywood", weight=9]; 682 -> 98[label="",style="solid", color="burlywood", weight=3]; 50[label="Integer xv300 == xv40",fontsize=16,color="burlywood",shape="box"];683[label="xv40/Integer xv400",fontsize=10,color="white",style="solid",shape="box"];50 -> 683[label="",style="solid", color="burlywood", weight=9]; 683 -> 99[label="",style="solid", color="burlywood", weight=3]; 51[label="xv300 :% xv301 == xv40",fontsize=16,color="burlywood",shape="box"];684[label="xv40/xv400 :% xv401",fontsize=10,color="white",style="solid",shape="box"];51 -> 684[label="",style="solid", color="burlywood", weight=9]; 684 -> 100[label="",style="solid", color="burlywood", weight=3]; 52[label="LT == xv40",fontsize=16,color="burlywood",shape="box"];685[label="xv40/LT",fontsize=10,color="white",style="solid",shape="box"];52 -> 685[label="",style="solid", color="burlywood", weight=9]; 685 -> 101[label="",style="solid", color="burlywood", weight=3]; 686[label="xv40/EQ",fontsize=10,color="white",style="solid",shape="box"];52 -> 686[label="",style="solid", color="burlywood", weight=9]; 686 -> 102[label="",style="solid", color="burlywood", weight=3]; 687[label="xv40/GT",fontsize=10,color="white",style="solid",shape="box"];52 -> 687[label="",style="solid", color="burlywood", weight=9]; 687 -> 103[label="",style="solid", color="burlywood", weight=3]; 53[label="EQ == xv40",fontsize=16,color="burlywood",shape="box"];688[label="xv40/LT",fontsize=10,color="white",style="solid",shape="box"];53 -> 688[label="",style="solid", color="burlywood", weight=9]; 688 -> 104[label="",style="solid", color="burlywood", weight=3]; 689[label="xv40/EQ",fontsize=10,color="white",style="solid",shape="box"];53 -> 689[label="",style="solid", color="burlywood", weight=9]; 689 -> 105[label="",style="solid", color="burlywood", weight=3]; 690[label="xv40/GT",fontsize=10,color="white",style="solid",shape="box"];53 -> 690[label="",style="solid", color="burlywood", weight=9]; 690 -> 106[label="",style="solid", color="burlywood", weight=3]; 54[label="GT == xv40",fontsize=16,color="burlywood",shape="box"];691[label="xv40/LT",fontsize=10,color="white",style="solid",shape="box"];54 -> 691[label="",style="solid", color="burlywood", weight=9]; 691 -> 107[label="",style="solid", color="burlywood", weight=3]; 692[label="xv40/EQ",fontsize=10,color="white",style="solid",shape="box"];54 -> 692[label="",style="solid", color="burlywood", weight=9]; 692 -> 108[label="",style="solid", color="burlywood", weight=3]; 693[label="xv40/GT",fontsize=10,color="white",style="solid",shape="box"];54 -> 693[label="",style="solid", color="burlywood", weight=9]; 693 -> 109[label="",style="solid", color="burlywood", weight=3]; 55[label="Nothing == xv40",fontsize=16,color="burlywood",shape="box"];694[label="xv40/Nothing",fontsize=10,color="white",style="solid",shape="box"];55 -> 694[label="",style="solid", color="burlywood", weight=9]; 694 -> 110[label="",style="solid", color="burlywood", weight=3]; 695[label="xv40/Just xv400",fontsize=10,color="white",style="solid",shape="box"];55 -> 695[label="",style="solid", color="burlywood", weight=9]; 695 -> 111[label="",style="solid", color="burlywood", weight=3]; 56[label="Just xv300 == xv40",fontsize=16,color="burlywood",shape="box"];696[label="xv40/Nothing",fontsize=10,color="white",style="solid",shape="box"];56 -> 696[label="",style="solid", color="burlywood", weight=9]; 696 -> 112[label="",style="solid", color="burlywood", weight=3]; 697[label="xv40/Just xv400",fontsize=10,color="white",style="solid",shape="box"];56 -> 697[label="",style="solid", color="burlywood", weight=9]; 697 -> 113[label="",style="solid", color="burlywood", weight=3]; 57[label="xv300 : xv301 == xv40",fontsize=16,color="burlywood",shape="box"];698[label="xv40/xv400 : xv401",fontsize=10,color="white",style="solid",shape="box"];57 -> 698[label="",style="solid", color="burlywood", weight=9]; 698 -> 114[label="",style="solid", color="burlywood", weight=3]; 699[label="xv40/[]",fontsize=10,color="white",style="solid",shape="box"];57 -> 699[label="",style="solid", color="burlywood", weight=9]; 699 -> 115[label="",style="solid", color="burlywood", weight=3]; 58[label="[] == xv40",fontsize=16,color="burlywood",shape="box"];700[label="xv40/xv400 : xv401",fontsize=10,color="white",style="solid",shape="box"];58 -> 700[label="",style="solid", color="burlywood", weight=9]; 700 -> 116[label="",style="solid", color="burlywood", weight=3]; 701[label="xv40/[]",fontsize=10,color="white",style="solid",shape="box"];58 -> 701[label="",style="solid", color="burlywood", weight=9]; 701 -> 117[label="",style="solid", color="burlywood", weight=3]; 59[label="primEqFloat xv30 xv40",fontsize=16,color="burlywood",shape="box"];702[label="xv30/Float xv300 xv301",fontsize=10,color="white",style="solid",shape="box"];59 -> 702[label="",style="solid", color="burlywood", weight=9]; 702 -> 118[label="",style="solid", color="burlywood", weight=3]; 60[label="() == xv40",fontsize=16,color="burlywood",shape="box"];703[label="xv40/()",fontsize=10,color="white",style="solid",shape="box"];60 -> 703[label="",style="solid", color="burlywood", weight=9]; 703 -> 119[label="",style="solid", color="burlywood", weight=3]; 61[label="primEqDouble xv30 xv40",fontsize=16,color="burlywood",shape="box"];704[label="xv30/Double xv300 xv301",fontsize=10,color="white",style="solid",shape="box"];61 -> 704[label="",style="solid", color="burlywood", weight=9]; 704 -> 120[label="",style="solid", color="burlywood", weight=3]; 62[label="(xv300,xv301) == xv40",fontsize=16,color="burlywood",shape="box"];705[label="xv40/(xv400,xv401)",fontsize=10,color="white",style="solid",shape="box"];62 -> 705[label="",style="solid", color="burlywood", weight=9]; 705 -> 121[label="",style="solid", color="burlywood", weight=3]; 63[label="xv40",fontsize=16,color="green",shape="box"];64[label="xv30",fontsize=16,color="green",shape="box"];65[label="xv30",fontsize=16,color="green",shape="box"];66[label="xv40",fontsize=16,color="green",shape="box"];67[label="xv30",fontsize=16,color="green",shape="box"];68[label="xv40",fontsize=16,color="green",shape="box"];69[label="xv30",fontsize=16,color="green",shape="box"];70[label="xv40",fontsize=16,color="green",shape="box"];71[label="xv30",fontsize=16,color="green",shape="box"];72[label="xv40",fontsize=16,color="green",shape="box"];73[label="xv30",fontsize=16,color="green",shape="box"];74[label="xv40",fontsize=16,color="green",shape="box"];75[label="xv30",fontsize=16,color="green",shape="box"];76[label="xv40",fontsize=16,color="green",shape="box"];77[label="xv30",fontsize=16,color="green",shape="box"];78[label="xv40",fontsize=16,color="green",shape="box"];79[label="xv30",fontsize=16,color="green",shape="box"];80[label="xv40",fontsize=16,color="green",shape="box"];81[label="xv30",fontsize=16,color="green",shape="box"];82[label="xv40",fontsize=16,color="green",shape="box"];83[label="xv30",fontsize=16,color="green",shape="box"];84[label="xv40",fontsize=16,color="green",shape="box"];85[label="xv30",fontsize=16,color="green",shape="box"];86[label="xv40",fontsize=16,color="green",shape="box"];87[label="xv30",fontsize=16,color="green",shape="box"];88[label="xv40",fontsize=16,color="green",shape="box"];89[label="xv30",fontsize=16,color="green",shape="box"];90[label="xv40",fontsize=16,color="green",shape="box"];91[label="False == False",fontsize=16,color="black",shape="box"];91 -> 122[label="",style="solid", color="black", weight=3]; 92[label="False == True",fontsize=16,color="black",shape="box"];92 -> 123[label="",style="solid", color="black", weight=3]; 93[label="True == False",fontsize=16,color="black",shape="box"];93 -> 124[label="",style="solid", color="black", weight=3]; 94[label="True == True",fontsize=16,color="black",shape="box"];94 -> 125[label="",style="solid", color="black", weight=3]; 95[label="primEqChar (Char xv300) xv40",fontsize=16,color="burlywood",shape="box"];706[label="xv40/Char xv400",fontsize=10,color="white",style="solid",shape="box"];95 -> 706[label="",style="solid", color="burlywood", weight=9]; 706 -> 126[label="",style="solid", color="burlywood", weight=3]; 96[label="(xv300,xv301,xv302) == (xv400,xv401,xv402)",fontsize=16,color="black",shape="box"];96 -> 127[label="",style="solid", color="black", weight=3]; 97[label="primEqInt (Pos xv300) xv40",fontsize=16,color="burlywood",shape="box"];707[label="xv300/Succ xv3000",fontsize=10,color="white",style="solid",shape="box"];97 -> 707[label="",style="solid", color="burlywood", weight=9]; 707 -> 128[label="",style="solid", color="burlywood", weight=3]; 708[label="xv300/Zero",fontsize=10,color="white",style="solid",shape="box"];97 -> 708[label="",style="solid", color="burlywood", weight=9]; 708 -> 129[label="",style="solid", color="burlywood", weight=3]; 98[label="primEqInt (Neg xv300) xv40",fontsize=16,color="burlywood",shape="box"];709[label="xv300/Succ xv3000",fontsize=10,color="white",style="solid",shape="box"];98 -> 709[label="",style="solid", color="burlywood", weight=9]; 709 -> 130[label="",style="solid", color="burlywood", weight=3]; 710[label="xv300/Zero",fontsize=10,color="white",style="solid",shape="box"];98 -> 710[label="",style="solid", color="burlywood", weight=9]; 710 -> 131[label="",style="solid", color="burlywood", weight=3]; 99[label="Integer xv300 == Integer xv400",fontsize=16,color="black",shape="box"];99 -> 132[label="",style="solid", color="black", weight=3]; 100[label="xv300 :% xv301 == xv400 :% xv401",fontsize=16,color="black",shape="box"];100 -> 133[label="",style="solid", color="black", weight=3]; 101[label="LT == LT",fontsize=16,color="black",shape="box"];101 -> 134[label="",style="solid", color="black", weight=3]; 102[label="LT == EQ",fontsize=16,color="black",shape="box"];102 -> 135[label="",style="solid", color="black", weight=3]; 103[label="LT == GT",fontsize=16,color="black",shape="box"];103 -> 136[label="",style="solid", color="black", weight=3]; 104[label="EQ == LT",fontsize=16,color="black",shape="box"];104 -> 137[label="",style="solid", color="black", weight=3]; 105[label="EQ == EQ",fontsize=16,color="black",shape="box"];105 -> 138[label="",style="solid", color="black", weight=3]; 106[label="EQ == GT",fontsize=16,color="black",shape="box"];106 -> 139[label="",style="solid", color="black", weight=3]; 107[label="GT == LT",fontsize=16,color="black",shape="box"];107 -> 140[label="",style="solid", color="black", weight=3]; 108[label="GT == EQ",fontsize=16,color="black",shape="box"];108 -> 141[label="",style="solid", color="black", weight=3]; 109[label="GT == GT",fontsize=16,color="black",shape="box"];109 -> 142[label="",style="solid", color="black", weight=3]; 110[label="Nothing == Nothing",fontsize=16,color="black",shape="box"];110 -> 143[label="",style="solid", color="black", weight=3]; 111[label="Nothing == Just xv400",fontsize=16,color="black",shape="box"];111 -> 144[label="",style="solid", color="black", weight=3]; 112[label="Just xv300 == Nothing",fontsize=16,color="black",shape="box"];112 -> 145[label="",style="solid", color="black", weight=3]; 113[label="Just xv300 == Just xv400",fontsize=16,color="black",shape="box"];113 -> 146[label="",style="solid", color="black", weight=3]; 114[label="xv300 : xv301 == xv400 : xv401",fontsize=16,color="black",shape="box"];114 -> 147[label="",style="solid", color="black", weight=3]; 115[label="xv300 : xv301 == []",fontsize=16,color="black",shape="box"];115 -> 148[label="",style="solid", color="black", weight=3]; 116[label="[] == xv400 : xv401",fontsize=16,color="black",shape="box"];116 -> 149[label="",style="solid", color="black", weight=3]; 117[label="[] == []",fontsize=16,color="black",shape="box"];117 -> 150[label="",style="solid", color="black", weight=3]; 118[label="primEqFloat (Float xv300 xv301) xv40",fontsize=16,color="burlywood",shape="box"];711[label="xv40/Float xv400 xv401",fontsize=10,color="white",style="solid",shape="box"];118 -> 711[label="",style="solid", color="burlywood", weight=9]; 711 -> 151[label="",style="solid", color="burlywood", weight=3]; 119[label="() == ()",fontsize=16,color="black",shape="box"];119 -> 152[label="",style="solid", color="black", weight=3]; 120[label="primEqDouble (Double xv300 xv301) xv40",fontsize=16,color="burlywood",shape="box"];712[label="xv40/Double xv400 xv401",fontsize=10,color="white",style="solid",shape="box"];120 -> 712[label="",style="solid", color="burlywood", weight=9]; 712 -> 153[label="",style="solid", color="burlywood", weight=3]; 121[label="(xv300,xv301) == (xv400,xv401)",fontsize=16,color="black",shape="box"];121 -> 154[label="",style="solid", color="black", weight=3]; 122[label="True",fontsize=16,color="green",shape="box"];123[label="False",fontsize=16,color="green",shape="box"];124[label="False",fontsize=16,color="green",shape="box"];125[label="True",fontsize=16,color="green",shape="box"];126[label="primEqChar (Char xv300) (Char xv400)",fontsize=16,color="black",shape="box"];126 -> 155[label="",style="solid", color="black", weight=3]; 127 -> 214[label="",style="dashed", color="red", weight=0]; 127[label="xv300 == xv400 && xv301 == xv401 && xv302 == xv402",fontsize=16,color="magenta"];127 -> 215[label="",style="dashed", color="magenta", weight=3]; 127 -> 216[label="",style="dashed", color="magenta", weight=3]; 128[label="primEqInt (Pos (Succ xv3000)) xv40",fontsize=16,color="burlywood",shape="box"];713[label="xv40/Pos xv400",fontsize=10,color="white",style="solid",shape="box"];128 -> 713[label="",style="solid", color="burlywood", weight=9]; 713 -> 162[label="",style="solid", color="burlywood", weight=3]; 714[label="xv40/Neg xv400",fontsize=10,color="white",style="solid",shape="box"];128 -> 714[label="",style="solid", color="burlywood", weight=9]; 714 -> 163[label="",style="solid", color="burlywood", weight=3]; 129[label="primEqInt (Pos Zero) xv40",fontsize=16,color="burlywood",shape="box"];715[label="xv40/Pos xv400",fontsize=10,color="white",style="solid",shape="box"];129 -> 715[label="",style="solid", color="burlywood", weight=9]; 715 -> 164[label="",style="solid", color="burlywood", weight=3]; 716[label="xv40/Neg xv400",fontsize=10,color="white",style="solid",shape="box"];129 -> 716[label="",style="solid", color="burlywood", weight=9]; 716 -> 165[label="",style="solid", color="burlywood", weight=3]; 130[label="primEqInt (Neg (Succ xv3000)) xv40",fontsize=16,color="burlywood",shape="box"];717[label="xv40/Pos xv400",fontsize=10,color="white",style="solid",shape="box"];130 -> 717[label="",style="solid", color="burlywood", weight=9]; 717 -> 166[label="",style="solid", color="burlywood", weight=3]; 718[label="xv40/Neg xv400",fontsize=10,color="white",style="solid",shape="box"];130 -> 718[label="",style="solid", color="burlywood", weight=9]; 718 -> 167[label="",style="solid", color="burlywood", weight=3]; 131[label="primEqInt (Neg Zero) xv40",fontsize=16,color="burlywood",shape="box"];719[label="xv40/Pos xv400",fontsize=10,color="white",style="solid",shape="box"];131 -> 719[label="",style="solid", color="burlywood", weight=9]; 719 -> 168[label="",style="solid", color="burlywood", weight=3]; 720[label="xv40/Neg xv400",fontsize=10,color="white",style="solid",shape="box"];131 -> 720[label="",style="solid", color="burlywood", weight=9]; 720 -> 169[label="",style="solid", color="burlywood", weight=3]; 132 -> 49[label="",style="dashed", color="red", weight=0]; 132[label="primEqInt xv300 xv400",fontsize=16,color="magenta"];132 -> 170[label="",style="dashed", color="magenta", weight=3]; 132 -> 171[label="",style="dashed", color="magenta", weight=3]; 133 -> 214[label="",style="dashed", color="red", weight=0]; 133[label="xv300 == xv400 && xv301 == xv401",fontsize=16,color="magenta"];133 -> 217[label="",style="dashed", color="magenta", weight=3]; 133 -> 218[label="",style="dashed", color="magenta", weight=3]; 134[label="True",fontsize=16,color="green",shape="box"];135[label="False",fontsize=16,color="green",shape="box"];136[label="False",fontsize=16,color="green",shape="box"];137[label="False",fontsize=16,color="green",shape="box"];138[label="True",fontsize=16,color="green",shape="box"];139[label="False",fontsize=16,color="green",shape="box"];140[label="False",fontsize=16,color="green",shape="box"];141[label="False",fontsize=16,color="green",shape="box"];142[label="True",fontsize=16,color="green",shape="box"];143[label="True",fontsize=16,color="green",shape="box"];144[label="False",fontsize=16,color="green",shape="box"];145[label="False",fontsize=16,color="green",shape="box"];146[label="xv300 == xv400",fontsize=16,color="blue",shape="box"];721[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];146 -> 721[label="",style="solid", color="blue", weight=9]; 721 -> 182[label="",style="solid", color="blue", weight=3]; 722[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];146 -> 722[label="",style="solid", color="blue", weight=9]; 722 -> 183[label="",style="solid", color="blue", weight=3]; 723[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];146 -> 723[label="",style="solid", color="blue", weight=9]; 723 -> 184[label="",style="solid", color="blue", weight=3]; 724[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];146 -> 724[label="",style="solid", color="blue", weight=9]; 724 -> 185[label="",style="solid", color="blue", weight=3]; 725[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];146 -> 725[label="",style="solid", color="blue", weight=9]; 725 -> 186[label="",style="solid", color="blue", weight=3]; 726[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];146 -> 726[label="",style="solid", color="blue", weight=9]; 726 -> 187[label="",style="solid", color="blue", weight=3]; 727[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];146 -> 727[label="",style="solid", color="blue", weight=9]; 727 -> 188[label="",style="solid", color="blue", weight=3]; 728[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];146 -> 728[label="",style="solid", color="blue", weight=9]; 728 -> 189[label="",style="solid", color="blue", weight=3]; 729[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];146 -> 729[label="",style="solid", color="blue", weight=9]; 729 -> 190[label="",style="solid", color="blue", weight=3]; 730[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];146 -> 730[label="",style="solid", color="blue", weight=9]; 730 -> 191[label="",style="solid", color="blue", weight=3]; 731[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];146 -> 731[label="",style="solid", color="blue", weight=9]; 731 -> 192[label="",style="solid", color="blue", weight=3]; 732[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];146 -> 732[label="",style="solid", color="blue", weight=9]; 732 -> 193[label="",style="solid", color="blue", weight=3]; 733[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];146 -> 733[label="",style="solid", color="blue", weight=9]; 733 -> 194[label="",style="solid", color="blue", weight=3]; 734[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];146 -> 734[label="",style="solid", color="blue", weight=9]; 734 -> 195[label="",style="solid", color="blue", weight=3]; 147 -> 214[label="",style="dashed", color="red", weight=0]; 147[label="xv300 == xv400 && xv301 == xv401",fontsize=16,color="magenta"];147 -> 219[label="",style="dashed", color="magenta", weight=3]; 147 -> 220[label="",style="dashed", color="magenta", weight=3]; 148[label="False",fontsize=16,color="green",shape="box"];149[label="False",fontsize=16,color="green",shape="box"];150[label="True",fontsize=16,color="green",shape="box"];151[label="primEqFloat (Float xv300 xv301) (Float xv400 xv401)",fontsize=16,color="black",shape="box"];151 -> 196[label="",style="solid", color="black", weight=3]; 152[label="True",fontsize=16,color="green",shape="box"];153[label="primEqDouble (Double xv300 xv301) (Double xv400 xv401)",fontsize=16,color="black",shape="box"];153 -> 197[label="",style="solid", color="black", weight=3]; 154 -> 214[label="",style="dashed", color="red", weight=0]; 154[label="xv300 == xv400 && xv301 == xv401",fontsize=16,color="magenta"];154 -> 221[label="",style="dashed", color="magenta", weight=3]; 154 -> 222[label="",style="dashed", color="magenta", weight=3]; 155[label="primEqNat xv300 xv400",fontsize=16,color="burlywood",shape="triangle"];735[label="xv300/Succ xv3000",fontsize=10,color="white",style="solid",shape="box"];155 -> 735[label="",style="solid", color="burlywood", weight=9]; 735 -> 198[label="",style="solid", color="burlywood", weight=3]; 736[label="xv300/Zero",fontsize=10,color="white",style="solid",shape="box"];155 -> 736[label="",style="solid", color="burlywood", weight=9]; 736 -> 199[label="",style="solid", color="burlywood", weight=3]; 215 -> 214[label="",style="dashed", color="red", weight=0]; 215[label="xv301 == xv401 && xv302 == xv402",fontsize=16,color="magenta"];215 -> 226[label="",style="dashed", color="magenta", weight=3]; 215 -> 227[label="",style="dashed", color="magenta", weight=3]; 216[label="xv300 == xv400",fontsize=16,color="blue",shape="box"];737[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];216 -> 737[label="",style="solid", color="blue", weight=9]; 737 -> 228[label="",style="solid", color="blue", weight=3]; 738[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];216 -> 738[label="",style="solid", color="blue", weight=9]; 738 -> 229[label="",style="solid", color="blue", weight=3]; 739[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];216 -> 739[label="",style="solid", color="blue", weight=9]; 739 -> 230[label="",style="solid", color="blue", weight=3]; 740[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];216 -> 740[label="",style="solid", color="blue", weight=9]; 740 -> 231[label="",style="solid", color="blue", weight=3]; 741[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];216 -> 741[label="",style="solid", color="blue", weight=9]; 741 -> 232[label="",style="solid", color="blue", weight=3]; 742[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];216 -> 742[label="",style="solid", color="blue", weight=9]; 742 -> 233[label="",style="solid", color="blue", weight=3]; 743[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];216 -> 743[label="",style="solid", color="blue", weight=9]; 743 -> 234[label="",style="solid", color="blue", weight=3]; 744[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];216 -> 744[label="",style="solid", color="blue", weight=9]; 744 -> 235[label="",style="solid", color="blue", weight=3]; 745[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];216 -> 745[label="",style="solid", color="blue", weight=9]; 745 -> 236[label="",style="solid", color="blue", weight=3]; 746[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];216 -> 746[label="",style="solid", color="blue", weight=9]; 746 -> 237[label="",style="solid", color="blue", weight=3]; 747[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];216 -> 747[label="",style="solid", color="blue", weight=9]; 747 -> 238[label="",style="solid", color="blue", weight=3]; 748[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];216 -> 748[label="",style="solid", color="blue", weight=9]; 748 -> 239[label="",style="solid", color="blue", weight=3]; 749[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];216 -> 749[label="",style="solid", color="blue", weight=9]; 749 -> 240[label="",style="solid", color="blue", weight=3]; 750[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];216 -> 750[label="",style="solid", color="blue", weight=9]; 750 -> 241[label="",style="solid", color="blue", weight=3]; 214[label="xv11 && xv23",fontsize=16,color="burlywood",shape="triangle"];751[label="xv11/False",fontsize=10,color="white",style="solid",shape="box"];214 -> 751[label="",style="solid", color="burlywood", weight=9]; 751 -> 242[label="",style="solid", color="burlywood", weight=3]; 752[label="xv11/True",fontsize=10,color="white",style="solid",shape="box"];214 -> 752[label="",style="solid", color="burlywood", weight=9]; 752 -> 243[label="",style="solid", color="burlywood", weight=3]; 162[label="primEqInt (Pos (Succ xv3000)) (Pos xv400)",fontsize=16,color="burlywood",shape="box"];753[label="xv400/Succ xv4000",fontsize=10,color="white",style="solid",shape="box"];162 -> 753[label="",style="solid", color="burlywood", weight=9]; 753 -> 244[label="",style="solid", color="burlywood", weight=3]; 754[label="xv400/Zero",fontsize=10,color="white",style="solid",shape="box"];162 -> 754[label="",style="solid", color="burlywood", weight=9]; 754 -> 245[label="",style="solid", color="burlywood", weight=3]; 163[label="primEqInt (Pos (Succ xv3000)) (Neg xv400)",fontsize=16,color="black",shape="box"];163 -> 246[label="",style="solid", color="black", weight=3]; 164[label="primEqInt (Pos Zero) (Pos xv400)",fontsize=16,color="burlywood",shape="box"];755[label="xv400/Succ xv4000",fontsize=10,color="white",style="solid",shape="box"];164 -> 755[label="",style="solid", color="burlywood", weight=9]; 755 -> 247[label="",style="solid", color="burlywood", weight=3]; 756[label="xv400/Zero",fontsize=10,color="white",style="solid",shape="box"];164 -> 756[label="",style="solid", color="burlywood", weight=9]; 756 -> 248[label="",style="solid", color="burlywood", weight=3]; 165[label="primEqInt (Pos Zero) (Neg xv400)",fontsize=16,color="burlywood",shape="box"];757[label="xv400/Succ xv4000",fontsize=10,color="white",style="solid",shape="box"];165 -> 757[label="",style="solid", color="burlywood", weight=9]; 757 -> 249[label="",style="solid", color="burlywood", weight=3]; 758[label="xv400/Zero",fontsize=10,color="white",style="solid",shape="box"];165 -> 758[label="",style="solid", color="burlywood", weight=9]; 758 -> 250[label="",style="solid", color="burlywood", weight=3]; 166[label="primEqInt (Neg (Succ xv3000)) (Pos xv400)",fontsize=16,color="black",shape="box"];166 -> 251[label="",style="solid", color="black", weight=3]; 167[label="primEqInt (Neg (Succ xv3000)) (Neg xv400)",fontsize=16,color="burlywood",shape="box"];759[label="xv400/Succ xv4000",fontsize=10,color="white",style="solid",shape="box"];167 -> 759[label="",style="solid", color="burlywood", weight=9]; 759 -> 252[label="",style="solid", color="burlywood", weight=3]; 760[label="xv400/Zero",fontsize=10,color="white",style="solid",shape="box"];167 -> 760[label="",style="solid", color="burlywood", weight=9]; 760 -> 253[label="",style="solid", color="burlywood", weight=3]; 168[label="primEqInt (Neg Zero) (Pos xv400)",fontsize=16,color="burlywood",shape="box"];761[label="xv400/Succ xv4000",fontsize=10,color="white",style="solid",shape="box"];168 -> 761[label="",style="solid", color="burlywood", weight=9]; 761 -> 254[label="",style="solid", color="burlywood", weight=3]; 762[label="xv400/Zero",fontsize=10,color="white",style="solid",shape="box"];168 -> 762[label="",style="solid", color="burlywood", weight=9]; 762 -> 255[label="",style="solid", color="burlywood", weight=3]; 169[label="primEqInt (Neg Zero) (Neg xv400)",fontsize=16,color="burlywood",shape="box"];763[label="xv400/Succ xv4000",fontsize=10,color="white",style="solid",shape="box"];169 -> 763[label="",style="solid", color="burlywood", weight=9]; 763 -> 256[label="",style="solid", color="burlywood", weight=3]; 764[label="xv400/Zero",fontsize=10,color="white",style="solid",shape="box"];169 -> 764[label="",style="solid", color="burlywood", weight=9]; 764 -> 257[label="",style="solid", color="burlywood", weight=3]; 170[label="xv300",fontsize=16,color="green",shape="box"];171[label="xv400",fontsize=16,color="green",shape="box"];217[label="xv301 == xv401",fontsize=16,color="blue",shape="box"];765[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];217 -> 765[label="",style="solid", color="blue", weight=9]; 765 -> 258[label="",style="solid", color="blue", weight=3]; 766[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];217 -> 766[label="",style="solid", color="blue", weight=9]; 766 -> 259[label="",style="solid", color="blue", weight=3]; 218[label="xv300 == xv400",fontsize=16,color="blue",shape="box"];767[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];218 -> 767[label="",style="solid", color="blue", weight=9]; 767 -> 260[label="",style="solid", color="blue", weight=3]; 768[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];218 -> 768[label="",style="solid", color="blue", weight=9]; 768 -> 261[label="",style="solid", color="blue", weight=3]; 182 -> 4[label="",style="dashed", color="red", weight=0]; 182[label="xv300 == xv400",fontsize=16,color="magenta"];182 -> 262[label="",style="dashed", color="magenta", weight=3]; 182 -> 263[label="",style="dashed", color="magenta", weight=3]; 183 -> 16[label="",style="dashed", color="red", weight=0]; 183[label="xv300 == xv400",fontsize=16,color="magenta"];183 -> 264[label="",style="dashed", color="magenta", weight=3]; 183 -> 265[label="",style="dashed", color="magenta", weight=3]; 184 -> 17[label="",style="dashed", color="red", weight=0]; 184[label="xv300 == xv400",fontsize=16,color="magenta"];184 -> 266[label="",style="dashed", color="magenta", weight=3]; 184 -> 267[label="",style="dashed", color="magenta", weight=3]; 185 -> 18[label="",style="dashed", color="red", weight=0]; 185[label="xv300 == xv400",fontsize=16,color="magenta"];185 -> 268[label="",style="dashed", color="magenta", weight=3]; 185 -> 269[label="",style="dashed", color="magenta", weight=3]; 186 -> 19[label="",style="dashed", color="red", weight=0]; 186[label="xv300 == xv400",fontsize=16,color="magenta"];186 -> 270[label="",style="dashed", color="magenta", weight=3]; 186 -> 271[label="",style="dashed", color="magenta", weight=3]; 187 -> 20[label="",style="dashed", color="red", weight=0]; 187[label="xv300 == xv400",fontsize=16,color="magenta"];187 -> 272[label="",style="dashed", color="magenta", weight=3]; 187 -> 273[label="",style="dashed", color="magenta", weight=3]; 188 -> 21[label="",style="dashed", color="red", weight=0]; 188[label="xv300 == xv400",fontsize=16,color="magenta"];188 -> 274[label="",style="dashed", color="magenta", weight=3]; 188 -> 275[label="",style="dashed", color="magenta", weight=3]; 189 -> 22[label="",style="dashed", color="red", weight=0]; 189[label="xv300 == xv400",fontsize=16,color="magenta"];189 -> 276[label="",style="dashed", color="magenta", weight=3]; 189 -> 277[label="",style="dashed", color="magenta", weight=3]; 190 -> 23[label="",style="dashed", color="red", weight=0]; 190[label="xv300 == xv400",fontsize=16,color="magenta"];190 -> 278[label="",style="dashed", color="magenta", weight=3]; 190 -> 279[label="",style="dashed", color="magenta", weight=3]; 191 -> 24[label="",style="dashed", color="red", weight=0]; 191[label="xv300 == xv400",fontsize=16,color="magenta"];191 -> 280[label="",style="dashed", color="magenta", weight=3]; 191 -> 281[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 -> 282[label="",style="dashed", color="magenta", weight=3]; 192 -> 283[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 -> 284[label="",style="dashed", color="magenta", weight=3]; 193 -> 285[label="",style="dashed", color="magenta", weight=3]; 194 -> 27[label="",style="dashed", color="red", weight=0]; 194[label="xv300 == xv400",fontsize=16,color="magenta"];194 -> 286[label="",style="dashed", color="magenta", weight=3]; 194 -> 287[label="",style="dashed", color="magenta", weight=3]; 195 -> 28[label="",style="dashed", color="red", weight=0]; 195[label="xv300 == xv400",fontsize=16,color="magenta"];195 -> 288[label="",style="dashed", color="magenta", weight=3]; 195 -> 289[label="",style="dashed", color="magenta", weight=3]; 219 -> 24[label="",style="dashed", color="red", weight=0]; 219[label="xv301 == xv401",fontsize=16,color="magenta"];219 -> 290[label="",style="dashed", color="magenta", weight=3]; 219 -> 291[label="",style="dashed", color="magenta", weight=3]; 220[label="xv300 == xv400",fontsize=16,color="blue",shape="box"];769[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];220 -> 769[label="",style="solid", color="blue", weight=9]; 769 -> 292[label="",style="solid", color="blue", weight=3]; 770[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];220 -> 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"];220 -> 771[label="",style="solid", color="blue", weight=9]; 771 -> 294[label="",style="solid", color="blue", weight=3]; 772[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];220 -> 772[label="",style="solid", color="blue", weight=9]; 772 -> 295[label="",style="solid", color="blue", weight=3]; 773[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];220 -> 773[label="",style="solid", color="blue", weight=9]; 773 -> 296[label="",style="solid", color="blue", weight=3]; 774[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];220 -> 774[label="",style="solid", color="blue", weight=9]; 774 -> 297[label="",style="solid", color="blue", weight=3]; 775[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];220 -> 775[label="",style="solid", color="blue", weight=9]; 775 -> 298[label="",style="solid", color="blue", weight=3]; 776[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];220 -> 776[label="",style="solid", color="blue", weight=9]; 776 -> 299[label="",style="solid", color="blue", weight=3]; 777[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];220 -> 777[label="",style="solid", color="blue", weight=9]; 777 -> 300[label="",style="solid", color="blue", weight=3]; 778[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];220 -> 778[label="",style="solid", color="blue", weight=9]; 778 -> 301[label="",style="solid", color="blue", weight=3]; 779[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];220 -> 779[label="",style="solid", color="blue", weight=9]; 779 -> 302[label="",style="solid", color="blue", weight=3]; 780[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];220 -> 780[label="",style="solid", color="blue", weight=9]; 780 -> 303[label="",style="solid", color="blue", weight=3]; 781[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];220 -> 781[label="",style="solid", color="blue", weight=9]; 781 -> 304[label="",style="solid", color="blue", weight=3]; 782[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];220 -> 782[label="",style="solid", color="blue", weight=9]; 782 -> 305[label="",style="solid", color="blue", weight=3]; 196 -> 19[label="",style="dashed", color="red", weight=0]; 196[label="xv300 * xv401 == xv301 * xv400",fontsize=16,color="magenta"];196 -> 306[label="",style="dashed", color="magenta", weight=3]; 196 -> 307[label="",style="dashed", color="magenta", weight=3]; 197 -> 19[label="",style="dashed", color="red", weight=0]; 197[label="xv300 * xv401 == xv301 * xv400",fontsize=16,color="magenta"];197 -> 308[label="",style="dashed", color="magenta", weight=3]; 197 -> 309[label="",style="dashed", color="magenta", weight=3]; 221[label="xv301 == xv401",fontsize=16,color="blue",shape="box"];783[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];221 -> 783[label="",style="solid", color="blue", weight=9]; 783 -> 310[label="",style="solid", color="blue", weight=3]; 784[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];221 -> 784[label="",style="solid", color="blue", weight=9]; 784 -> 311[label="",style="solid", color="blue", weight=3]; 785[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];221 -> 785[label="",style="solid", color="blue", weight=9]; 785 -> 312[label="",style="solid", color="blue", weight=3]; 786[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];221 -> 786[label="",style="solid", color="blue", weight=9]; 786 -> 313[label="",style="solid", color="blue", weight=3]; 787[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];221 -> 787[label="",style="solid", color="blue", weight=9]; 787 -> 314[label="",style="solid", color="blue", weight=3]; 788[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];221 -> 788[label="",style="solid", color="blue", weight=9]; 788 -> 315[label="",style="solid", color="blue", weight=3]; 789[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];221 -> 789[label="",style="solid", color="blue", weight=9]; 789 -> 316[label="",style="solid", color="blue", weight=3]; 790[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];221 -> 790[label="",style="solid", color="blue", weight=9]; 790 -> 317[label="",style="solid", color="blue", weight=3]; 791[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];221 -> 791[label="",style="solid", color="blue", weight=9]; 791 -> 318[label="",style="solid", color="blue", weight=3]; 792[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];221 -> 792[label="",style="solid", color="blue", weight=9]; 792 -> 319[label="",style="solid", color="blue", weight=3]; 793[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];221 -> 793[label="",style="solid", color="blue", weight=9]; 793 -> 320[label="",style="solid", color="blue", weight=3]; 794[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];221 -> 794[label="",style="solid", color="blue", weight=9]; 794 -> 321[label="",style="solid", color="blue", weight=3]; 795[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];221 -> 795[label="",style="solid", color="blue", weight=9]; 795 -> 322[label="",style="solid", color="blue", weight=3]; 796[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];221 -> 796[label="",style="solid", color="blue", weight=9]; 796 -> 323[label="",style="solid", color="blue", weight=3]; 222[label="xv300 == xv400",fontsize=16,color="blue",shape="box"];797[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];222 -> 797[label="",style="solid", color="blue", weight=9]; 797 -> 324[label="",style="solid", color="blue", weight=3]; 798[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];222 -> 798[label="",style="solid", color="blue", weight=9]; 798 -> 325[label="",style="solid", color="blue", weight=3]; 799[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];222 -> 799[label="",style="solid", color="blue", weight=9]; 799 -> 326[label="",style="solid", color="blue", weight=3]; 800[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];222 -> 800[label="",style="solid", color="blue", weight=9]; 800 -> 327[label="",style="solid", color="blue", weight=3]; 801[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];222 -> 801[label="",style="solid", color="blue", weight=9]; 801 -> 328[label="",style="solid", color="blue", weight=3]; 802[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];222 -> 802[label="",style="solid", color="blue", weight=9]; 802 -> 329[label="",style="solid", color="blue", weight=3]; 803[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];222 -> 803[label="",style="solid", color="blue", weight=9]; 803 -> 330[label="",style="solid", color="blue", weight=3]; 804[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];222 -> 804[label="",style="solid", color="blue", weight=9]; 804 -> 331[label="",style="solid", color="blue", weight=3]; 805[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];222 -> 805[label="",style="solid", color="blue", weight=9]; 805 -> 332[label="",style="solid", color="blue", weight=3]; 806[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];222 -> 806[label="",style="solid", color="blue", weight=9]; 806 -> 333[label="",style="solid", color="blue", weight=3]; 807[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];222 -> 807[label="",style="solid", color="blue", weight=9]; 807 -> 334[label="",style="solid", color="blue", weight=3]; 808[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];222 -> 808[label="",style="solid", color="blue", weight=9]; 808 -> 335[label="",style="solid", color="blue", weight=3]; 809[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];222 -> 809[label="",style="solid", color="blue", weight=9]; 809 -> 336[label="",style="solid", color="blue", weight=3]; 810[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];222 -> 810[label="",style="solid", color="blue", weight=9]; 810 -> 337[label="",style="solid", color="blue", weight=3]; 198[label="primEqNat (Succ xv3000) xv400",fontsize=16,color="burlywood",shape="box"];811[label="xv400/Succ xv4000",fontsize=10,color="white",style="solid",shape="box"];198 -> 811[label="",style="solid", color="burlywood", weight=9]; 811 -> 338[label="",style="solid", color="burlywood", weight=3]; 812[label="xv400/Zero",fontsize=10,color="white",style="solid",shape="box"];198 -> 812[label="",style="solid", color="burlywood", weight=9]; 812 -> 339[label="",style="solid", color="burlywood", weight=3]; 199[label="primEqNat Zero xv400",fontsize=16,color="burlywood",shape="box"];813[label="xv400/Succ xv4000",fontsize=10,color="white",style="solid",shape="box"];199 -> 813[label="",style="solid", color="burlywood", weight=9]; 813 -> 340[label="",style="solid", color="burlywood", weight=3]; 814[label="xv400/Zero",fontsize=10,color="white",style="solid",shape="box"];199 -> 814[label="",style="solid", color="burlywood", weight=9]; 814 -> 341[label="",style="solid", color="burlywood", weight=3]; 226[label="xv302 == xv402",fontsize=16,color="blue",shape="box"];815[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];226 -> 815[label="",style="solid", color="blue", weight=9]; 815 -> 342[label="",style="solid", color="blue", weight=3]; 816[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];226 -> 816[label="",style="solid", color="blue", weight=9]; 816 -> 343[label="",style="solid", color="blue", weight=3]; 817[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];226 -> 817[label="",style="solid", color="blue", weight=9]; 817 -> 344[label="",style="solid", color="blue", weight=3]; 818[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];226 -> 818[label="",style="solid", color="blue", weight=9]; 818 -> 345[label="",style="solid", color="blue", weight=3]; 819[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];226 -> 819[label="",style="solid", color="blue", weight=9]; 819 -> 346[label="",style="solid", color="blue", weight=3]; 820[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];226 -> 820[label="",style="solid", color="blue", weight=9]; 820 -> 347[label="",style="solid", color="blue", weight=3]; 821[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];226 -> 821[label="",style="solid", color="blue", weight=9]; 821 -> 348[label="",style="solid", color="blue", weight=3]; 822[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];226 -> 822[label="",style="solid", color="blue", weight=9]; 822 -> 349[label="",style="solid", color="blue", weight=3]; 823[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];226 -> 823[label="",style="solid", color="blue", weight=9]; 823 -> 350[label="",style="solid", color="blue", weight=3]; 824[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];226 -> 824[label="",style="solid", color="blue", weight=9]; 824 -> 351[label="",style="solid", color="blue", weight=3]; 825[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];226 -> 825[label="",style="solid", color="blue", weight=9]; 825 -> 352[label="",style="solid", color="blue", weight=3]; 826[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];226 -> 826[label="",style="solid", color="blue", weight=9]; 826 -> 353[label="",style="solid", color="blue", weight=3]; 827[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];226 -> 827[label="",style="solid", color="blue", weight=9]; 827 -> 354[label="",style="solid", color="blue", weight=3]; 828[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];226 -> 828[label="",style="solid", color="blue", weight=9]; 828 -> 355[label="",style="solid", color="blue", weight=3]; 227[label="xv301 == xv401",fontsize=16,color="blue",shape="box"];829[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];227 -> 829[label="",style="solid", color="blue", weight=9]; 829 -> 356[label="",style="solid", color="blue", weight=3]; 830[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];227 -> 830[label="",style="solid", color="blue", weight=9]; 830 -> 357[label="",style="solid", color="blue", weight=3]; 831[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];227 -> 831[label="",style="solid", color="blue", weight=9]; 831 -> 358[label="",style="solid", color="blue", weight=3]; 832[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];227 -> 832[label="",style="solid", color="blue", weight=9]; 832 -> 359[label="",style="solid", color="blue", weight=3]; 833[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];227 -> 833[label="",style="solid", color="blue", weight=9]; 833 -> 360[label="",style="solid", color="blue", weight=3]; 834[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];227 -> 834[label="",style="solid", color="blue", weight=9]; 834 -> 361[label="",style="solid", color="blue", weight=3]; 835[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];227 -> 835[label="",style="solid", color="blue", weight=9]; 835 -> 362[label="",style="solid", color="blue", weight=3]; 836[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];227 -> 836[label="",style="solid", color="blue", weight=9]; 836 -> 363[label="",style="solid", color="blue", weight=3]; 837[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];227 -> 837[label="",style="solid", color="blue", weight=9]; 837 -> 364[label="",style="solid", color="blue", weight=3]; 838[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];227 -> 838[label="",style="solid", color="blue", weight=9]; 838 -> 365[label="",style="solid", color="blue", weight=3]; 839[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];227 -> 839[label="",style="solid", color="blue", weight=9]; 839 -> 366[label="",style="solid", color="blue", weight=3]; 840[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];227 -> 840[label="",style="solid", color="blue", weight=9]; 840 -> 367[label="",style="solid", color="blue", weight=3]; 841[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];227 -> 841[label="",style="solid", color="blue", weight=9]; 841 -> 368[label="",style="solid", color="blue", weight=3]; 842[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];227 -> 842[label="",style="solid", color="blue", weight=9]; 842 -> 369[label="",style="solid", color="blue", weight=3]; 228 -> 4[label="",style="dashed", color="red", weight=0]; 228[label="xv300 == xv400",fontsize=16,color="magenta"];228 -> 370[label="",style="dashed", color="magenta", weight=3]; 228 -> 371[label="",style="dashed", color="magenta", weight=3]; 229 -> 16[label="",style="dashed", color="red", weight=0]; 229[label="xv300 == xv400",fontsize=16,color="magenta"];229 -> 372[label="",style="dashed", color="magenta", weight=3]; 229 -> 373[label="",style="dashed", color="magenta", weight=3]; 230 -> 17[label="",style="dashed", color="red", weight=0]; 230[label="xv300 == xv400",fontsize=16,color="magenta"];230 -> 374[label="",style="dashed", color="magenta", weight=3]; 230 -> 375[label="",style="dashed", color="magenta", weight=3]; 231 -> 18[label="",style="dashed", color="red", weight=0]; 231[label="xv300 == xv400",fontsize=16,color="magenta"];231 -> 376[label="",style="dashed", color="magenta", weight=3]; 231 -> 377[label="",style="dashed", color="magenta", weight=3]; 232 -> 19[label="",style="dashed", color="red", weight=0]; 232[label="xv300 == xv400",fontsize=16,color="magenta"];232 -> 378[label="",style="dashed", color="magenta", weight=3]; 232 -> 379[label="",style="dashed", color="magenta", weight=3]; 233 -> 20[label="",style="dashed", color="red", weight=0]; 233[label="xv300 == xv400",fontsize=16,color="magenta"];233 -> 380[label="",style="dashed", color="magenta", weight=3]; 233 -> 381[label="",style="dashed", color="magenta", weight=3]; 234 -> 21[label="",style="dashed", color="red", weight=0]; 234[label="xv300 == xv400",fontsize=16,color="magenta"];234 -> 382[label="",style="dashed", color="magenta", weight=3]; 234 -> 383[label="",style="dashed", color="magenta", weight=3]; 235 -> 22[label="",style="dashed", color="red", weight=0]; 235[label="xv300 == xv400",fontsize=16,color="magenta"];235 -> 384[label="",style="dashed", color="magenta", weight=3]; 235 -> 385[label="",style="dashed", color="magenta", weight=3]; 236 -> 23[label="",style="dashed", color="red", weight=0]; 236[label="xv300 == xv400",fontsize=16,color="magenta"];236 -> 386[label="",style="dashed", color="magenta", weight=3]; 236 -> 387[label="",style="dashed", color="magenta", weight=3]; 237 -> 24[label="",style="dashed", color="red", weight=0]; 237[label="xv300 == xv400",fontsize=16,color="magenta"];237 -> 388[label="",style="dashed", color="magenta", weight=3]; 237 -> 389[label="",style="dashed", color="magenta", weight=3]; 238 -> 25[label="",style="dashed", color="red", weight=0]; 238[label="xv300 == xv400",fontsize=16,color="magenta"];238 -> 390[label="",style="dashed", color="magenta", weight=3]; 238 -> 391[label="",style="dashed", color="magenta", weight=3]; 239 -> 26[label="",style="dashed", color="red", weight=0]; 239[label="xv300 == xv400",fontsize=16,color="magenta"];239 -> 392[label="",style="dashed", color="magenta", weight=3]; 239 -> 393[label="",style="dashed", color="magenta", weight=3]; 240 -> 27[label="",style="dashed", color="red", weight=0]; 240[label="xv300 == xv400",fontsize=16,color="magenta"];240 -> 394[label="",style="dashed", color="magenta", weight=3]; 240 -> 395[label="",style="dashed", color="magenta", weight=3]; 241 -> 28[label="",style="dashed", color="red", weight=0]; 241[label="xv300 == xv400",fontsize=16,color="magenta"];241 -> 396[label="",style="dashed", color="magenta", weight=3]; 241 -> 397[label="",style="dashed", color="magenta", weight=3]; 242[label="False && xv23",fontsize=16,color="black",shape="box"];242 -> 398[label="",style="solid", color="black", weight=3]; 243[label="True && xv23",fontsize=16,color="black",shape="box"];243 -> 399[label="",style="solid", color="black", weight=3]; 244[label="primEqInt (Pos (Succ xv3000)) (Pos (Succ xv4000))",fontsize=16,color="black",shape="box"];244 -> 400[label="",style="solid", color="black", weight=3]; 245[label="primEqInt (Pos (Succ xv3000)) (Pos Zero)",fontsize=16,color="black",shape="box"];245 -> 401[label="",style="solid", color="black", weight=3]; 246[label="False",fontsize=16,color="green",shape="box"];247[label="primEqInt (Pos Zero) (Pos (Succ xv4000))",fontsize=16,color="black",shape="box"];247 -> 402[label="",style="solid", color="black", weight=3]; 248[label="primEqInt (Pos Zero) (Pos Zero)",fontsize=16,color="black",shape="box"];248 -> 403[label="",style="solid", color="black", weight=3]; 249[label="primEqInt (Pos Zero) (Neg (Succ xv4000))",fontsize=16,color="black",shape="box"];249 -> 404[label="",style="solid", color="black", weight=3]; 250[label="primEqInt (Pos Zero) (Neg Zero)",fontsize=16,color="black",shape="box"];250 -> 405[label="",style="solid", color="black", weight=3]; 251[label="False",fontsize=16,color="green",shape="box"];252[label="primEqInt (Neg (Succ xv3000)) (Neg (Succ xv4000))",fontsize=16,color="black",shape="box"];252 -> 406[label="",style="solid", color="black", weight=3]; 253[label="primEqInt (Neg (Succ xv3000)) (Neg Zero)",fontsize=16,color="black",shape="box"];253 -> 407[label="",style="solid", color="black", weight=3]; 254[label="primEqInt (Neg Zero) (Pos (Succ xv4000))",fontsize=16,color="black",shape="box"];254 -> 408[label="",style="solid", color="black", weight=3]; 255[label="primEqInt (Neg Zero) (Pos Zero)",fontsize=16,color="black",shape="box"];255 -> 409[label="",style="solid", color="black", weight=3]; 256[label="primEqInt (Neg Zero) (Neg (Succ xv4000))",fontsize=16,color="black",shape="box"];256 -> 410[label="",style="solid", color="black", weight=3]; 257[label="primEqInt (Neg Zero) (Neg Zero)",fontsize=16,color="black",shape="box"];257 -> 411[label="",style="solid", color="black", weight=3]; 258 -> 19[label="",style="dashed", color="red", weight=0]; 258[label="xv301 == xv401",fontsize=16,color="magenta"];258 -> 412[label="",style="dashed", color="magenta", weight=3]; 258 -> 413[label="",style="dashed", color="magenta", weight=3]; 259 -> 20[label="",style="dashed", color="red", weight=0]; 259[label="xv301 == xv401",fontsize=16,color="magenta"];259 -> 414[label="",style="dashed", color="magenta", weight=3]; 259 -> 415[label="",style="dashed", color="magenta", weight=3]; 260 -> 19[label="",style="dashed", color="red", weight=0]; 260[label="xv300 == xv400",fontsize=16,color="magenta"];260 -> 416[label="",style="dashed", color="magenta", weight=3]; 260 -> 417[label="",style="dashed", color="magenta", weight=3]; 261 -> 20[label="",style="dashed", color="red", weight=0]; 261[label="xv300 == xv400",fontsize=16,color="magenta"];261 -> 418[label="",style="dashed", color="magenta", weight=3]; 261 -> 419[label="",style="dashed", color="magenta", weight=3]; 262[label="xv400",fontsize=16,color="green",shape="box"];263[label="xv300",fontsize=16,color="green",shape="box"];264[label="xv300",fontsize=16,color="green",shape="box"];265[label="xv400",fontsize=16,color="green",shape="box"];266[label="xv300",fontsize=16,color="green",shape="box"];267[label="xv400",fontsize=16,color="green",shape="box"];268[label="xv300",fontsize=16,color="green",shape="box"];269[label="xv400",fontsize=16,color="green",shape="box"];270[label="xv300",fontsize=16,color="green",shape="box"];271[label="xv400",fontsize=16,color="green",shape="box"];272[label="xv300",fontsize=16,color="green",shape="box"];273[label="xv400",fontsize=16,color="green",shape="box"];274[label="xv300",fontsize=16,color="green",shape="box"];275[label="xv400",fontsize=16,color="green",shape="box"];276[label="xv300",fontsize=16,color="green",shape="box"];277[label="xv400",fontsize=16,color="green",shape="box"];278[label="xv300",fontsize=16,color="green",shape="box"];279[label="xv400",fontsize=16,color="green",shape="box"];280[label="xv300",fontsize=16,color="green",shape="box"];281[label="xv400",fontsize=16,color="green",shape="box"];282[label="xv300",fontsize=16,color="green",shape="box"];283[label="xv400",fontsize=16,color="green",shape="box"];284[label="xv300",fontsize=16,color="green",shape="box"];285[label="xv400",fontsize=16,color="green",shape="box"];286[label="xv300",fontsize=16,color="green",shape="box"];287[label="xv400",fontsize=16,color="green",shape="box"];288[label="xv300",fontsize=16,color="green",shape="box"];289[label="xv400",fontsize=16,color="green",shape="box"];290[label="xv301",fontsize=16,color="green",shape="box"];291[label="xv401",fontsize=16,color="green",shape="box"];292 -> 4[label="",style="dashed", color="red", weight=0]; 292[label="xv300 == xv400",fontsize=16,color="magenta"];292 -> 420[label="",style="dashed", color="magenta", weight=3]; 292 -> 421[label="",style="dashed", color="magenta", weight=3]; 293 -> 16[label="",style="dashed", color="red", weight=0]; 293[label="xv300 == xv400",fontsize=16,color="magenta"];293 -> 422[label="",style="dashed", color="magenta", weight=3]; 293 -> 423[label="",style="dashed", color="magenta", weight=3]; 294 -> 17[label="",style="dashed", color="red", weight=0]; 294[label="xv300 == xv400",fontsize=16,color="magenta"];294 -> 424[label="",style="dashed", color="magenta", weight=3]; 294 -> 425[label="",style="dashed", color="magenta", weight=3]; 295 -> 18[label="",style="dashed", color="red", weight=0]; 295[label="xv300 == xv400",fontsize=16,color="magenta"];295 -> 426[label="",style="dashed", color="magenta", weight=3]; 295 -> 427[label="",style="dashed", color="magenta", weight=3]; 296 -> 19[label="",style="dashed", color="red", weight=0]; 296[label="xv300 == xv400",fontsize=16,color="magenta"];296 -> 428[label="",style="dashed", color="magenta", weight=3]; 296 -> 429[label="",style="dashed", color="magenta", weight=3]; 297 -> 20[label="",style="dashed", color="red", weight=0]; 297[label="xv300 == xv400",fontsize=16,color="magenta"];297 -> 430[label="",style="dashed", color="magenta", weight=3]; 297 -> 431[label="",style="dashed", color="magenta", weight=3]; 298 -> 21[label="",style="dashed", color="red", weight=0]; 298[label="xv300 == xv400",fontsize=16,color="magenta"];298 -> 432[label="",style="dashed", color="magenta", weight=3]; 298 -> 433[label="",style="dashed", color="magenta", weight=3]; 299 -> 22[label="",style="dashed", color="red", weight=0]; 299[label="xv300 == xv400",fontsize=16,color="magenta"];299 -> 434[label="",style="dashed", color="magenta", weight=3]; 299 -> 435[label="",style="dashed", color="magenta", weight=3]; 300 -> 23[label="",style="dashed", color="red", weight=0]; 300[label="xv300 == xv400",fontsize=16,color="magenta"];300 -> 436[label="",style="dashed", color="magenta", weight=3]; 300 -> 437[label="",style="dashed", color="magenta", weight=3]; 301 -> 24[label="",style="dashed", color="red", weight=0]; 301[label="xv300 == xv400",fontsize=16,color="magenta"];301 -> 438[label="",style="dashed", color="magenta", weight=3]; 301 -> 439[label="",style="dashed", color="magenta", weight=3]; 302 -> 25[label="",style="dashed", color="red", weight=0]; 302[label="xv300 == xv400",fontsize=16,color="magenta"];302 -> 440[label="",style="dashed", color="magenta", weight=3]; 302 -> 441[label="",style="dashed", color="magenta", weight=3]; 303 -> 26[label="",style="dashed", color="red", weight=0]; 303[label="xv300 == xv400",fontsize=16,color="magenta"];303 -> 442[label="",style="dashed", color="magenta", weight=3]; 303 -> 443[label="",style="dashed", color="magenta", weight=3]; 304 -> 27[label="",style="dashed", color="red", weight=0]; 304[label="xv300 == xv400",fontsize=16,color="magenta"];304 -> 444[label="",style="dashed", color="magenta", weight=3]; 304 -> 445[label="",style="dashed", color="magenta", weight=3]; 305 -> 28[label="",style="dashed", color="red", weight=0]; 305[label="xv300 == xv400",fontsize=16,color="magenta"];305 -> 446[label="",style="dashed", color="magenta", weight=3]; 305 -> 447[label="",style="dashed", color="magenta", weight=3]; 306[label="xv300 * xv401",fontsize=16,color="black",shape="triangle"];306 -> 448[label="",style="solid", color="black", weight=3]; 307 -> 306[label="",style="dashed", color="red", weight=0]; 307[label="xv301 * xv400",fontsize=16,color="magenta"];307 -> 449[label="",style="dashed", color="magenta", weight=3]; 307 -> 450[label="",style="dashed", color="magenta", weight=3]; 308 -> 306[label="",style="dashed", color="red", weight=0]; 308[label="xv300 * xv401",fontsize=16,color="magenta"];308 -> 451[label="",style="dashed", color="magenta", weight=3]; 308 -> 452[label="",style="dashed", color="magenta", weight=3]; 309 -> 306[label="",style="dashed", color="red", weight=0]; 309[label="xv301 * xv400",fontsize=16,color="magenta"];309 -> 453[label="",style="dashed", color="magenta", weight=3]; 309 -> 454[label="",style="dashed", color="magenta", weight=3]; 310 -> 4[label="",style="dashed", color="red", weight=0]; 310[label="xv301 == xv401",fontsize=16,color="magenta"];310 -> 455[label="",style="dashed", color="magenta", weight=3]; 310 -> 456[label="",style="dashed", color="magenta", weight=3]; 311 -> 16[label="",style="dashed", color="red", weight=0]; 311[label="xv301 == xv401",fontsize=16,color="magenta"];311 -> 457[label="",style="dashed", color="magenta", weight=3]; 311 -> 458[label="",style="dashed", color="magenta", weight=3]; 312 -> 17[label="",style="dashed", color="red", weight=0]; 312[label="xv301 == xv401",fontsize=16,color="magenta"];312 -> 459[label="",style="dashed", color="magenta", weight=3]; 312 -> 460[label="",style="dashed", color="magenta", weight=3]; 313 -> 18[label="",style="dashed", color="red", weight=0]; 313[label="xv301 == xv401",fontsize=16,color="magenta"];313 -> 461[label="",style="dashed", color="magenta", weight=3]; 313 -> 462[label="",style="dashed", color="magenta", weight=3]; 314 -> 19[label="",style="dashed", color="red", weight=0]; 314[label="xv301 == xv401",fontsize=16,color="magenta"];314 -> 463[label="",style="dashed", color="magenta", weight=3]; 314 -> 464[label="",style="dashed", color="magenta", weight=3]; 315 -> 20[label="",style="dashed", color="red", weight=0]; 315[label="xv301 == xv401",fontsize=16,color="magenta"];315 -> 465[label="",style="dashed", color="magenta", weight=3]; 315 -> 466[label="",style="dashed", color="magenta", weight=3]; 316 -> 21[label="",style="dashed", color="red", weight=0]; 316[label="xv301 == xv401",fontsize=16,color="magenta"];316 -> 467[label="",style="dashed", color="magenta", weight=3]; 316 -> 468[label="",style="dashed", color="magenta", weight=3]; 317 -> 22[label="",style="dashed", color="red", weight=0]; 317[label="xv301 == xv401",fontsize=16,color="magenta"];317 -> 469[label="",style="dashed", color="magenta", weight=3]; 317 -> 470[label="",style="dashed", color="magenta", weight=3]; 318 -> 23[label="",style="dashed", color="red", weight=0]; 318[label="xv301 == xv401",fontsize=16,color="magenta"];318 -> 471[label="",style="dashed", color="magenta", weight=3]; 318 -> 472[label="",style="dashed", color="magenta", weight=3]; 319 -> 24[label="",style="dashed", color="red", weight=0]; 319[label="xv301 == xv401",fontsize=16,color="magenta"];319 -> 473[label="",style="dashed", color="magenta", weight=3]; 319 -> 474[label="",style="dashed", color="magenta", weight=3]; 320 -> 25[label="",style="dashed", color="red", weight=0]; 320[label="xv301 == xv401",fontsize=16,color="magenta"];320 -> 475[label="",style="dashed", color="magenta", weight=3]; 320 -> 476[label="",style="dashed", color="magenta", weight=3]; 321 -> 26[label="",style="dashed", color="red", weight=0]; 321[label="xv301 == xv401",fontsize=16,color="magenta"];321 -> 477[label="",style="dashed", color="magenta", weight=3]; 321 -> 478[label="",style="dashed", color="magenta", weight=3]; 322 -> 27[label="",style="dashed", color="red", weight=0]; 322[label="xv301 == xv401",fontsize=16,color="magenta"];322 -> 479[label="",style="dashed", color="magenta", weight=3]; 322 -> 480[label="",style="dashed", color="magenta", weight=3]; 323 -> 28[label="",style="dashed", color="red", weight=0]; 323[label="xv301 == xv401",fontsize=16,color="magenta"];323 -> 481[label="",style="dashed", color="magenta", weight=3]; 323 -> 482[label="",style="dashed", color="magenta", weight=3]; 324 -> 4[label="",style="dashed", color="red", weight=0]; 324[label="xv300 == xv400",fontsize=16,color="magenta"];324 -> 483[label="",style="dashed", color="magenta", weight=3]; 324 -> 484[label="",style="dashed", color="magenta", weight=3]; 325 -> 16[label="",style="dashed", 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370[label="xv400",fontsize=16,color="green",shape="box"];371[label="xv300",fontsize=16,color="green",shape="box"];372[label="xv300",fontsize=16,color="green",shape="box"];373[label="xv400",fontsize=16,color="green",shape="box"];374[label="xv300",fontsize=16,color="green",shape="box"];375[label="xv400",fontsize=16,color="green",shape="box"];376[label="xv300",fontsize=16,color="green",shape="box"];377[label="xv400",fontsize=16,color="green",shape="box"];378[label="xv300",fontsize=16,color="green",shape="box"];379[label="xv400",fontsize=16,color="green",shape="box"];380[label="xv300",fontsize=16,color="green",shape="box"];381[label="xv400",fontsize=16,color="green",shape="box"];382[label="xv300",fontsize=16,color="green",shape="box"];383[label="xv400",fontsize=16,color="green",shape="box"];384[label="xv300",fontsize=16,color="green",shape="box"];385[label="xv400",fontsize=16,color="green",shape="box"];386[label="xv300",fontsize=16,color="green",shape="box"];387[label="xv400",fontsize=16,color="green",shape="box"];388[label="xv300",fontsize=16,color="green",shape="box"];389[label="xv400",fontsize=16,color="green",shape="box"];390[label="xv300",fontsize=16,color="green",shape="box"];391[label="xv400",fontsize=16,color="green",shape="box"];392[label="xv300",fontsize=16,color="green",shape="box"];393[label="xv400",fontsize=16,color="green",shape="box"];394[label="xv300",fontsize=16,color="green",shape="box"];395[label="xv400",fontsize=16,color="green",shape="box"];396[label="xv300",fontsize=16,color="green",shape="box"];397[label="xv400",fontsize=16,color="green",shape="box"];398[label="False",fontsize=16,color="green",shape="box"];399[label="xv23",fontsize=16,color="green",shape="box"];400 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407[label="False",fontsize=16,color="green",shape="box"];408[label="False",fontsize=16,color="green",shape="box"];409[label="True",fontsize=16,color="green",shape="box"];410[label="False",fontsize=16,color="green",shape="box"];411[label="True",fontsize=16,color="green",shape="box"];412[label="xv301",fontsize=16,color="green",shape="box"];413[label="xv401",fontsize=16,color="green",shape="box"];414[label="xv301",fontsize=16,color="green",shape="box"];415[label="xv401",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="xv400",fontsize=16,color="green",shape="box"];421[label="xv300",fontsize=16,color="green",shape="box"];422[label="xv300",fontsize=16,color="green",shape="box"];423[label="xv400",fontsize=16,color="green",shape="box"];424[label="xv300",fontsize=16,color="green",shape="box"];425[label="xv400",fontsize=16,color="green",shape="box"];426[label="xv300",fontsize=16,color="green",shape="box"];427[label="xv400",fontsize=16,color="green",shape="box"];428[label="xv300",fontsize=16,color="green",shape="box"];429[label="xv400",fontsize=16,color="green",shape="box"];430[label="xv300",fontsize=16,color="green",shape="box"];431[label="xv400",fontsize=16,color="green",shape="box"];432[label="xv300",fontsize=16,color="green",shape="box"];433[label="xv400",fontsize=16,color="green",shape="box"];434[label="xv300",fontsize=16,color="green",shape="box"];435[label="xv400",fontsize=16,color="green",shape="box"];436[label="xv300",fontsize=16,color="green",shape="box"];437[label="xv400",fontsize=16,color="green",shape="box"];438[label="xv300",fontsize=16,color="green",shape="box"];439[label="xv400",fontsize=16,color="green",shape="box"];440[label="xv300",fontsize=16,color="green",shape="box"];441[label="xv400",fontsize=16,color="green",shape="box"];442[label="xv300",fontsize=16,color="green",shape="box"];443[label="xv400",fontsize=16,color="green",shape="box"];444[label="xv300",fontsize=16,color="green",shape="box"];445[label="xv400",fontsize=16,color="green",shape="box"];446[label="xv300",fontsize=16,color="green",shape="box"];447[label="xv400",fontsize=16,color="green",shape="box"];448[label="primMulInt 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449[label="xv400",fontsize=16,color="green",shape="box"];450[label="xv301",fontsize=16,color="green",shape="box"];451[label="xv401",fontsize=16,color="green",shape="box"];452[label="xv300",fontsize=16,color="green",shape="box"];453[label="xv400",fontsize=16,color="green",shape="box"];454[label="xv301",fontsize=16,color="green",shape="box"];455[label="xv401",fontsize=16,color="green",shape="box"];456[label="xv301",fontsize=16,color="green",shape="box"];457[label="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="xv301",fontsize=16,color="green",shape="box"];462[label="xv401",fontsize=16,color="green",shape="box"];463[label="xv301",fontsize=16,color="green",shape="box"];464[label="xv401",fontsize=16,color="green",shape="box"];465[label="xv301",fontsize=16,color="green",shape="box"];466[label="xv401",fontsize=16,color="green",shape="box"];467[label="xv301",fontsize=16,color="green",shape="box"];468[label="xv401",fontsize=16,color="green",shape="box"];469[label="xv301",fontsize=16,color="green",shape="box"];470[label="xv401",fontsize=16,color="green",shape="box"];471[label="xv301",fontsize=16,color="green",shape="box"];472[label="xv401",fontsize=16,color="green",shape="box"];473[label="xv301",fontsize=16,color="green",shape="box"];474[label="xv401",fontsize=16,color="green",shape="box"];475[label="xv301",fontsize=16,color="green",shape="box"];476[label="xv401",fontsize=16,color="green",shape="box"];477[label="xv301",fontsize=16,color="green",shape="box"];478[label="xv401",fontsize=16,color="green",shape="box"];479[label="xv301",fontsize=16,color="green",shape="box"];480[label="xv401",fontsize=16,color="green",shape="box"];481[label="xv301",fontsize=16,color="green",shape="box"];482[label="xv401",fontsize=16,color="green",shape="box"];483[label="xv400",fontsize=16,color="green",shape="box"];484[label="xv300",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[label="xv300",fontsize=16,color="green",shape="box"];490[label="xv400",fontsize=16,color="green",shape="box"];491[label="xv300",fontsize=16,color="green",shape="box"];492[label="xv400",fontsize=16,color="green",shape="box"];493[label="xv300",fontsize=16,color="green",shape="box"];494[label="xv400",fontsize=16,color="green",shape="box"];495[label="xv300",fontsize=16,color="green",shape="box"];496[label="xv400",fontsize=16,color="green",shape="box"];497[label="xv300",fontsize=16,color="green",shape="box"];498[label="xv400",fontsize=16,color="green",shape="box"];499[label="xv300",fontsize=16,color="green",shape="box"];500[label="xv400",fontsize=16,color="green",shape="box"];501[label="xv300",fontsize=16,color="green",shape="box"];502[label="xv400",fontsize=16,color="green",shape="box"];503[label="xv300",fontsize=16,color="green",shape="box"];504[label="xv400",fontsize=16,color="green",shape="box"];505[label="xv300",fontsize=16,color="green",shape="box"];506[label="xv400",fontsize=16,color="green",shape="box"];507[label="xv300",fontsize=16,color="green",shape="box"];508[label="xv400",fontsize=16,color="green",shape="box"];509[label="xv300",fontsize=16,color="green",shape="box"];510[label="xv400",fontsize=16,color="green",shape="box"];511 -> 155[label="",style="dashed", color="red", weight=0]; 511[label="primEqNat xv3000 xv4000",fontsize=16,color="magenta"];511 -> 577[label="",style="dashed", color="magenta", weight=3]; 511 -> 578[label="",style="dashed", color="magenta", weight=3]; 512[label="False",fontsize=16,color="green",shape="box"];513[label="False",fontsize=16,color="green",shape="box"];514[label="True",fontsize=16,color="green",shape="box"];515[label="xv402",fontsize=16,color="green",shape="box"];516[label="xv302",fontsize=16,color="green",shape="box"];517[label="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="xv302",fontsize=16,color="green",shape="box"];534[label="xv402",fontsize=16,color="green",shape="box"];535[label="xv302",fontsize=16,color="green",shape="box"];536[label="xv402",fontsize=16,color="green",shape="box"];537[label="xv302",fontsize=16,color="green",shape="box"];538[label="xv402",fontsize=16,color="green",shape="box"];539[label="xv302",fontsize=16,color="green",shape="box"];540[label="xv402",fontsize=16,color="green",shape="box"];541[label="xv302",fontsize=16,color="green",shape="box"];542[label="xv402",fontsize=16,color="green",shape="box"];543[label="xv401",fontsize=16,color="green",shape="box"];544[label="xv301",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="xv301",fontsize=16,color="green",shape="box"];562[label="xv401",fontsize=16,color="green",shape="box"];563[label="xv301",fontsize=16,color="green",shape="box"];564[label="xv401",fontsize=16,color="green",shape="box"];565[label="xv301",fontsize=16,color="green",shape="box"];566[label="xv401",fontsize=16,color="green",shape="box"];567[label="xv301",fontsize=16,color="green",shape="box"];568[label="xv401",fontsize=16,color="green",shape="box"];569[label="xv301",fontsize=16,color="green",shape="box"];570[label="xv401",fontsize=16,color="green",shape="box"];571[label="xv3000",fontsize=16,color="green",shape="box"];572[label="xv4000",fontsize=16,color="green",shape="box"];573[label="xv3000",fontsize=16,color="green",shape="box"];574[label="xv4000",fontsize=16,color="green",shape="box"];575[label="primMulInt (Pos xv3000) xv401",fontsize=16,color="burlywood",shape="box"];845[label="xv401/Pos xv4010",fontsize=10,color="white",style="solid",shape="box"];575 -> 845[label="",style="solid", color="burlywood", weight=9]; 845 -> 579[label="",style="solid", color="burlywood", weight=3]; 846[label="xv401/Neg xv4010",fontsize=10,color="white",style="solid",shape="box"];575 -> 846[label="",style="solid", color="burlywood", weight=9]; 846 -> 580[label="",style="solid", color="burlywood", weight=3]; 576[label="primMulInt (Neg xv3000) xv401",fontsize=16,color="burlywood",shape="box"];847[label="xv401/Pos xv4010",fontsize=10,color="white",style="solid",shape="box"];576 -> 847[label="",style="solid", color="burlywood", weight=9]; 847 -> 581[label="",style="solid", color="burlywood", weight=3]; 848[label="xv401/Neg xv4010",fontsize=10,color="white",style="solid",shape="box"];576 -> 848[label="",style="solid", color="burlywood", weight=9]; 848 -> 582[label="",style="solid", color="burlywood", weight=3]; 577[label="xv3000",fontsize=16,color="green",shape="box"];578[label="xv4000",fontsize=16,color="green",shape="box"];579[label="primMulInt (Pos xv3000) (Pos xv4010)",fontsize=16,color="black",shape="box"];579 -> 583[label="",style="solid", color="black", weight=3]; 580[label="primMulInt (Pos xv3000) (Neg xv4010)",fontsize=16,color="black",shape="box"];580 -> 584[label="",style="solid", color="black", weight=3]; 581[label="primMulInt (Neg xv3000) (Pos xv4010)",fontsize=16,color="black",shape="box"];581 -> 585[label="",style="solid", color="black", weight=3]; 582[label="primMulInt (Neg xv3000) (Neg xv4010)",fontsize=16,color="black",shape="box"];582 -> 586[label="",style="solid", color="black", weight=3]; 583[label="Pos (primMulNat xv3000 xv4010)",fontsize=16,color="green",shape="box"];583 -> 587[label="",style="dashed", color="green", weight=3]; 584[label="Neg (primMulNat xv3000 xv4010)",fontsize=16,color="green",shape="box"];584 -> 588[label="",style="dashed", color="green", weight=3]; 585[label="Neg (primMulNat xv3000 xv4010)",fontsize=16,color="green",shape="box"];585 -> 589[label="",style="dashed", color="green", weight=3]; 586[label="Pos (primMulNat xv3000 xv4010)",fontsize=16,color="green",shape="box"];586 -> 590[label="",style="dashed", color="green", weight=3]; 587[label="primMulNat xv3000 xv4010",fontsize=16,color="burlywood",shape="triangle"];849[label="xv3000/Succ xv30000",fontsize=10,color="white",style="solid",shape="box"];587 -> 849[label="",style="solid", color="burlywood", weight=9]; 849 -> 591[label="",style="solid", color="burlywood", weight=3]; 850[label="xv3000/Zero",fontsize=10,color="white",style="solid",shape="box"];587 -> 850[label="",style="solid", color="burlywood", weight=9]; 850 -> 592[label="",style="solid", color="burlywood", weight=3]; 588 -> 587[label="",style="dashed", color="red", weight=0]; 588[label="primMulNat xv3000 xv4010",fontsize=16,color="magenta"];588 -> 593[label="",style="dashed", color="magenta", weight=3]; 589 -> 587[label="",style="dashed", color="red", weight=0]; 589[label="primMulNat xv3000 xv4010",fontsize=16,color="magenta"];589 -> 594[label="",style="dashed", color="magenta", weight=3]; 590 -> 587[label="",style="dashed", color="red", weight=0]; 590[label="primMulNat xv3000 xv4010",fontsize=16,color="magenta"];590 -> 595[label="",style="dashed", color="magenta", weight=3]; 590 -> 596[label="",style="dashed", color="magenta", weight=3]; 591[label="primMulNat (Succ xv30000) xv4010",fontsize=16,color="burlywood",shape="box"];851[label="xv4010/Succ xv40100",fontsize=10,color="white",style="solid",shape="box"];591 -> 851[label="",style="solid", color="burlywood", weight=9]; 851 -> 597[label="",style="solid", color="burlywood", weight=3]; 852[label="xv4010/Zero",fontsize=10,color="white",style="solid",shape="box"];591 -> 852[label="",style="solid", color="burlywood", weight=9]; 852 -> 598[label="",style="solid", color="burlywood", weight=3]; 592[label="primMulNat Zero xv4010",fontsize=16,color="burlywood",shape="box"];853[label="xv4010/Succ xv40100",fontsize=10,color="white",style="solid",shape="box"];592 -> 853[label="",style="solid", color="burlywood", weight=9]; 853 -> 599[label="",style="solid", color="burlywood", weight=3]; 854[label="xv4010/Zero",fontsize=10,color="white",style="solid",shape="box"];592 -> 854[label="",style="solid", color="burlywood", weight=9]; 854 -> 600[label="",style="solid", color="burlywood", weight=3]; 593[label="xv4010",fontsize=16,color="green",shape="box"];594[label="xv3000",fontsize=16,color="green",shape="box"];595[label="xv4010",fontsize=16,color="green",shape="box"];596[label="xv3000",fontsize=16,color="green",shape="box"];597[label="primMulNat (Succ xv30000) (Succ xv40100)",fontsize=16,color="black",shape="box"];597 -> 601[label="",style="solid", color="black", weight=3]; 598[label="primMulNat (Succ xv30000) Zero",fontsize=16,color="black",shape="box"];598 -> 602[label="",style="solid", color="black", weight=3]; 599[label="primMulNat Zero (Succ xv40100)",fontsize=16,color="black",shape="box"];599 -> 603[label="",style="solid", color="black", weight=3]; 600[label="primMulNat Zero Zero",fontsize=16,color="black",shape="box"];600 -> 604[label="",style="solid", color="black", weight=3]; 601 -> 605[label="",style="dashed", color="red", weight=0]; 601[label="primPlusNat (primMulNat xv30000 (Succ xv40100)) (Succ xv40100)",fontsize=16,color="magenta"];601 -> 606[label="",style="dashed", color="magenta", weight=3]; 602[label="Zero",fontsize=16,color="green",shape="box"];603[label="Zero",fontsize=16,color="green",shape="box"];604[label="Zero",fontsize=16,color="green",shape="box"];606 -> 587[label="",style="dashed", color="red", weight=0]; 606[label="primMulNat xv30000 (Succ xv40100)",fontsize=16,color="magenta"];606 -> 607[label="",style="dashed", color="magenta", weight=3]; 606 -> 608[label="",style="dashed", color="magenta", weight=3]; 605[label="primPlusNat xv24 (Succ xv40100)",fontsize=16,color="burlywood",shape="triangle"];855[label="xv24/Succ xv240",fontsize=10,color="white",style="solid",shape="box"];605 -> 855[label="",style="solid", color="burlywood", weight=9]; 855 -> 609[label="",style="solid", color="burlywood", weight=3]; 856[label="xv24/Zero",fontsize=10,color="white",style="solid",shape="box"];605 -> 856[label="",style="solid", color="burlywood", weight=9]; 856 -> 610[label="",style="solid", color="burlywood", weight=3]; 607[label="Succ xv40100",fontsize=16,color="green",shape="box"];608[label="xv30000",fontsize=16,color="green",shape="box"];609[label="primPlusNat (Succ xv240) (Succ xv40100)",fontsize=16,color="black",shape="box"];609 -> 611[label="",style="solid", color="black", weight=3]; 610[label="primPlusNat Zero (Succ xv40100)",fontsize=16,color="black",shape="box"];610 -> 612[label="",style="solid", color="black", weight=3]; 611[label="Succ (Succ (primPlusNat xv240 xv40100))",fontsize=16,color="green",shape="box"];611 -> 613[label="",style="dashed", color="green", weight=3]; 612[label="Succ xv40100",fontsize=16,color="green",shape="box"];613[label="primPlusNat xv240 xv40100",fontsize=16,color="burlywood",shape="triangle"];857[label="xv240/Succ xv2400",fontsize=10,color="white",style="solid",shape="box"];613 -> 857[label="",style="solid", color="burlywood", weight=9]; 857 -> 614[label="",style="solid", color="burlywood", weight=3]; 858[label="xv240/Zero",fontsize=10,color="white",style="solid",shape="box"];613 -> 858[label="",style="solid", color="burlywood", weight=9]; 858 -> 615[label="",style="solid", color="burlywood", weight=3]; 614[label="primPlusNat (Succ xv2400) xv40100",fontsize=16,color="burlywood",shape="box"];859[label="xv40100/Succ xv401000",fontsize=10,color="white",style="solid",shape="box"];614 -> 859[label="",style="solid", color="burlywood", weight=9]; 859 -> 616[label="",style="solid", color="burlywood", weight=3]; 860[label="xv40100/Zero",fontsize=10,color="white",style="solid",shape="box"];614 -> 860[label="",style="solid", color="burlywood", weight=9]; 860 -> 617[label="",style="solid", color="burlywood", weight=3]; 615[label="primPlusNat Zero xv40100",fontsize=16,color="burlywood",shape="box"];861[label="xv40100/Succ xv401000",fontsize=10,color="white",style="solid",shape="box"];615 -> 861[label="",style="solid", color="burlywood", weight=9]; 861 -> 618[label="",style="solid", color="burlywood", weight=3]; 862[label="xv40100/Zero",fontsize=10,color="white",style="solid",shape="box"];615 -> 862[label="",style="solid", color="burlywood", weight=9]; 862 -> 619[label="",style="solid", color="burlywood", weight=3]; 616[label="primPlusNat (Succ xv2400) (Succ xv401000)",fontsize=16,color="black",shape="box"];616 -> 620[label="",style="solid", color="black", weight=3]; 617[label="primPlusNat (Succ xv2400) Zero",fontsize=16,color="black",shape="box"];617 -> 621[label="",style="solid", color="black", weight=3]; 618[label="primPlusNat Zero (Succ xv401000)",fontsize=16,color="black",shape="box"];618 -> 622[label="",style="solid", color="black", weight=3]; 619[label="primPlusNat Zero Zero",fontsize=16,color="black",shape="box"];619 -> 623[label="",style="solid", color="black", weight=3]; 620[label="Succ (Succ (primPlusNat xv2400 xv401000))",fontsize=16,color="green",shape="box"];620 -> 624[label="",style="dashed", color="green", weight=3]; 621[label="Succ xv2400",fontsize=16,color="green",shape="box"];622[label="Succ xv401000",fontsize=16,color="green",shape="box"];623[label="Zero",fontsize=16,color="green",shape="box"];624 -> 613[label="",style="dashed", color="red", weight=0]; 624[label="primPlusNat xv2400 xv401000",fontsize=16,color="magenta"];624 -> 625[label="",style="dashed", color="magenta", weight=3]; 624 -> 626[label="",style="dashed", color="magenta", weight=3]; 625[label="xv2400",fontsize=16,color="green",shape="box"];626[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_esEs0(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), app(ty_Maybe, ef), bd, da) -> new_esEs1(xv300, xv400, ef) new_esEs(Left(@3(xv300, xv301, xv302)), Left(@3(xv400, xv401, xv402)), app(app(app(ty_@3, bc), app(ty_Maybe, de)), da), bb) -> new_esEs1(xv301, xv401, de) new_esEs(Left(:(xv300, xv301)), Left(:(xv400, xv401)), app(ty_[], app(app(ty_@2, hd), he)), bb) -> new_esEs3(xv300, xv400, hd, he) new_esEs(Right(xv30), Right(xv40), bcb, app(app(app(ty_@3, bce), bcf), bcg)) -> new_esEs0(xv30, xv40, bce, bcf, bcg) new_esEs2(:(xv300, xv301), :(xv400, xv401), gd) -> new_esEs2(xv301, xv401, gd) new_esEs0(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), app(app(ty_Either, ea), eb), bd, da) -> new_esEs(xv300, xv400, ea, eb) new_esEs3(@2(xv300, xv301), @2(xv400, xv401), hf, app(app(ty_Either, hg), hh)) -> new_esEs(xv301, xv401, hg, hh) new_esEs3(@2(xv300, xv301), @2(xv400, xv401), app(app(app(ty_@3, bbc), bbd), bbe), bbb) -> new_esEs0(xv300, xv400, bbc, bbd, bbe) new_esEs(Left(@3(xv300, xv301, xv302)), Left(@3(xv400, xv401, xv402)), app(app(app(ty_@3, bc), bd), app(ty_Maybe, cb)), bb) -> new_esEs1(xv302, xv402, cb) new_esEs(Left(Just(xv300)), Left(Just(xv400)), app(ty_Maybe, app(ty_Maybe, fh)), bb) -> new_esEs1(xv300, xv400, fh) new_esEs0(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), bc, bd, app(ty_Maybe, cb)) -> new_esEs1(xv302, xv402, cb) new_esEs(Left(Just(xv300)), Left(Just(xv400)), app(ty_Maybe, app(ty_[], ga)), bb) -> new_esEs2(xv300, xv400, ga) new_esEs0(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), bc, app(ty_Maybe, de), da) -> new_esEs1(xv301, xv401, de) new_esEs1(Just(xv300), Just(xv400), app(app(ty_Either, fb), fc)) -> new_esEs(xv300, xv400, fb, fc) new_esEs0(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), bc, bd, app(app(ty_Either, be), bf)) -> new_esEs(xv302, xv402, be, bf) new_esEs(Left(@2(xv300, xv301)), Left(@2(xv400, xv401)), app(app(ty_@2, hf), app(app(ty_Either, hg), hh)), bb) -> new_esEs(xv301, xv401, hg, hh) new_esEs0(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), app(app(ty_@2, eh), fa), bd, da) -> new_esEs3(xv300, xv400, eh, fa) new_esEs2(:(xv300, xv301), :(xv400, xv401), app(app(ty_Either, ge), gf)) -> new_esEs(xv300, xv400, ge, gf) new_esEs3(@2(xv300, xv301), @2(xv400, xv401), app(ty_Maybe, bbf), bbb) -> new_esEs1(xv300, xv400, bbf) new_esEs2(:(xv300, xv301), :(xv400, xv401), app(app(ty_@2, hd), he)) -> new_esEs3(xv300, xv400, hd, he) new_esEs(Left(:(xv300, xv301)), Left(:(xv400, xv401)), app(ty_[], app(ty_Maybe, hb)), bb) -> new_esEs1(xv300, xv400, hb) new_esEs(Right(xv30), Right(xv40), bcb, app(ty_Maybe, bch)) -> new_esEs1(xv30, xv40, bch) new_esEs(Left(Just(xv300)), Left(Just(xv400)), app(ty_Maybe, app(app(ty_@2, gb), gc)), bb) -> new_esEs3(xv300, xv400, gb, gc) new_esEs(Left(@2(xv300, xv301)), Left(@2(xv400, xv401)), app(app(ty_@2, app(app(ty_@2, bbh), bca)), bbb), bb) -> new_esEs3(xv300, xv400, bbh, bca) new_esEs3(@2(xv300, xv301), @2(xv400, xv401), hf, app(ty_Maybe, bad)) -> new_esEs1(xv301, xv401, bad) new_esEs3(@2(xv300, xv301), @2(xv400, xv401), hf, app(app(app(ty_@3, baa), bab), bac)) -> new_esEs0(xv301, xv401, baa, bab, bac) new_esEs(Left(@3(xv300, xv301, xv302)), Left(@3(xv400, xv401, xv402)), app(app(app(ty_@3, app(app(ty_Either, ea), eb)), bd), da), bb) -> new_esEs(xv300, xv400, ea, eb) new_esEs(Left(@2(xv300, xv301)), Left(@2(xv400, xv401)), app(app(ty_@2, app(app(app(ty_@3, bbc), bbd), bbe)), bbb), bb) -> new_esEs0(xv300, xv400, bbc, bbd, bbe) new_esEs3(@2(xv300, xv301), @2(xv400, xv401), app(ty_[], bbg), bbb) -> new_esEs2(xv300, xv400, bbg) new_esEs(Left(@3(xv300, xv301, xv302)), Left(@3(xv400, xv401, xv402)), app(app(app(ty_@3, bc), bd), app(app(ty_@2, cd), ce)), bb) -> new_esEs3(xv302, xv402, cd, ce) new_esEs1(Just(xv300), Just(xv400), app(ty_[], ga)) -> new_esEs2(xv300, xv400, ga) new_esEs(Left(:(xv300, xv301)), Left(:(xv400, xv401)), app(ty_[], app(app(ty_Either, ge), gf)), bb) -> new_esEs(xv300, xv400, ge, gf) new_esEs0(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), bc, bd, app(ty_[], cc)) -> new_esEs2(xv302, xv402, cc) new_esEs1(Just(xv300), Just(xv400), app(ty_Maybe, fh)) -> new_esEs1(xv300, xv400, fh) new_esEs0(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), app(ty_[], eg), bd, da) -> new_esEs2(xv300, xv400, eg) new_esEs(Left(Just(xv300)), Left(Just(xv400)), app(ty_Maybe, app(app(app(ty_@3, fd), ff), fg)), bb) -> new_esEs0(xv300, xv400, fd, ff, fg) new_esEs(Left(@3(xv300, xv301, xv302)), Left(@3(xv400, xv401, xv402)), app(app(app(ty_@3, app(ty_[], eg)), bd), da), bb) -> new_esEs2(xv300, xv400, eg) new_esEs(Left(@2(xv300, xv301)), Left(@2(xv400, xv401)), app(app(ty_@2, hf), app(app(ty_@2, baf), bag)), bb) -> new_esEs3(xv301, xv401, baf, bag) new_esEs(Left(Just(xv300)), Left(Just(xv400)), app(ty_Maybe, app(app(ty_Either, fb), fc)), bb) -> new_esEs(xv300, xv400, fb, fc) new_esEs0(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), bc, app(app(app(ty_@3, db), dc), dd), da) -> new_esEs0(xv301, xv401, db, dc, dd) new_esEs2(:(xv300, xv301), :(xv400, xv401), app(app(app(ty_@3, gg), gh), ha)) -> new_esEs0(xv300, xv400, gg, gh, ha) new_esEs(Right(xv30), Right(xv40), bcb, app(app(ty_@2, bdb), bdc)) -> new_esEs3(xv30, xv40, bdb, bdc) new_esEs0(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), bc, app(app(ty_@2, dg), dh), da) -> new_esEs3(xv301, xv401, dg, dh) new_esEs1(Just(xv300), Just(xv400), app(app(ty_@2, gb), gc)) -> new_esEs3(xv300, xv400, gb, gc) new_esEs3(@2(xv300, xv301), @2(xv400, xv401), hf, app(app(ty_@2, baf), bag)) -> new_esEs3(xv301, xv401, baf, bag) new_esEs(Left(@3(xv300, xv301, xv302)), Left(@3(xv400, xv401, xv402)), app(app(app(ty_@3, app(ty_Maybe, ef)), bd), da), bb) -> new_esEs1(xv300, xv400, ef) new_esEs(Left(@3(xv300, xv301, xv302)), Left(@3(xv400, xv401, xv402)), app(app(app(ty_@3, bc), app(app(ty_Either, cf), cg)), da), bb) -> new_esEs(xv301, xv401, cf, cg) new_esEs0(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), bc, bd, app(app(app(ty_@3, bg), bh), ca)) -> new_esEs0(xv302, xv402, bg, bh, ca) new_esEs1(Just(xv300), Just(xv400), app(app(app(ty_@3, fd), ff), fg)) -> new_esEs0(xv300, xv400, fd, ff, fg) new_esEs(Left(@2(xv300, xv301)), Left(@2(xv400, xv401)), app(app(ty_@2, app(app(ty_Either, bah), bba)), bbb), bb) -> new_esEs(xv300, xv400, bah, bba) new_esEs(Right(xv30), Right(xv40), bcb, app(app(ty_Either, bcc), bcd)) -> new_esEs(xv30, xv40, bcc, bcd) new_esEs(Left(@3(xv300, xv301, xv302)), Left(@3(xv400, xv401, xv402)), app(app(app(ty_@3, bc), app(app(ty_@2, dg), dh)), da), bb) -> new_esEs3(xv301, xv401, dg, dh) new_esEs0(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), bc, app(app(ty_Either, cf), cg), da) -> new_esEs(xv301, xv401, cf, cg) new_esEs(Left(@3(xv300, xv301, xv302)), Left(@3(xv400, xv401, xv402)), app(app(app(ty_@3, bc), bd), app(app(ty_Either, be), bf)), bb) -> new_esEs(xv302, xv402, be, bf) new_esEs(Left(@2(xv300, xv301)), Left(@2(xv400, xv401)), app(app(ty_@2, hf), app(ty_[], bae)), bb) -> new_esEs2(xv301, xv401, bae) new_esEs(Right(xv30), Right(xv40), bcb, app(ty_[], bda)) -> new_esEs2(xv30, xv40, bda) new_esEs(Left(@3(xv300, xv301, xv302)), Left(@3(xv400, xv401, xv402)), app(app(app(ty_@3, bc), bd), app(app(app(ty_@3, bg), bh), ca)), bb) -> new_esEs0(xv302, xv402, bg, bh, ca) new_esEs3(@2(xv300, xv301), @2(xv400, xv401), app(app(ty_@2, bbh), bca), bbb) -> new_esEs3(xv300, xv400, bbh, bca) new_esEs(Left(@3(xv300, xv301, xv302)), Left(@3(xv400, xv401, xv402)), app(app(app(ty_@3, app(app(app(ty_@3, ec), ed), ee)), bd), da), bb) -> new_esEs0(xv300, xv400, ec, ed, ee) new_esEs(Left(@2(xv300, xv301)), Left(@2(xv400, xv401)), app(app(ty_@2, app(ty_[], bbg)), bbb), bb) -> new_esEs2(xv300, xv400, bbg) new_esEs(Left(xv30), Left(xv40), app(app(ty_Either, h), ba), bb) -> new_esEs(xv30, xv40, h, ba) new_esEs3(@2(xv300, xv301), @2(xv400, xv401), hf, app(ty_[], bae)) -> new_esEs2(xv301, xv401, bae) new_esEs(Left(@3(xv300, xv301, xv302)), Left(@3(xv400, xv401, xv402)), app(app(app(ty_@3, bc), bd), app(ty_[], cc)), bb) -> new_esEs2(xv302, xv402, cc) new_esEs(Left(:(xv300, xv301)), Left(:(xv400, xv401)), app(ty_[], gd), bb) -> new_esEs2(xv301, xv401, gd) new_esEs(Left(:(xv300, xv301)), Left(:(xv400, xv401)), app(ty_[], app(ty_[], hc)), bb) -> new_esEs2(xv300, xv400, hc) new_esEs(Left(@2(xv300, xv301)), Left(@2(xv400, xv401)), app(app(ty_@2, app(ty_Maybe, bbf)), bbb), bb) -> new_esEs1(xv300, xv400, bbf) new_esEs2(:(xv300, xv301), :(xv400, xv401), app(ty_[], hc)) -> new_esEs2(xv300, xv400, hc) new_esEs0(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), bc, bd, app(app(ty_@2, cd), ce)) -> new_esEs3(xv302, xv402, cd, ce) new_esEs0(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), bc, app(ty_[], df), da) -> new_esEs2(xv301, xv401, df) new_esEs3(@2(xv300, xv301), @2(xv400, xv401), app(app(ty_Either, bah), bba), bbb) -> new_esEs(xv300, xv400, bah, bba) new_esEs(Left(@3(xv300, xv301, xv302)), Left(@3(xv400, xv401, xv402)), app(app(app(ty_@3, bc), app(ty_[], df)), da), bb) -> new_esEs2(xv301, xv401, df) new_esEs(Left(@2(xv300, xv301)), Left(@2(xv400, xv401)), app(app(ty_@2, hf), app(ty_Maybe, bad)), bb) -> new_esEs1(xv301, xv401, bad) new_esEs(Left(:(xv300, xv301)), Left(:(xv400, xv401)), app(ty_[], app(app(app(ty_@3, gg), gh), ha)), bb) -> new_esEs0(xv300, xv400, gg, gh, ha) new_esEs(Left(@3(xv300, xv301, xv302)), Left(@3(xv400, xv401, xv402)), app(app(app(ty_@3, app(app(ty_@2, eh), fa)), bd), da), bb) -> new_esEs3(xv300, xv400, eh, fa) new_esEs0(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), app(app(app(ty_@3, ec), ed), ee), bd, da) -> new_esEs0(xv300, xv400, ec, ed, ee) new_esEs(Left(@2(xv300, xv301)), Left(@2(xv400, xv401)), app(app(ty_@2, hf), app(app(app(ty_@3, baa), bab), bac)), bb) -> new_esEs0(xv301, xv401, baa, bab, bac) new_esEs2(:(xv300, xv301), :(xv400, xv401), app(ty_Maybe, hb)) -> new_esEs1(xv300, xv400, hb) new_esEs(Left(@3(xv300, xv301, xv302)), Left(@3(xv400, xv401, xv402)), app(app(app(ty_@3, bc), app(app(app(ty_@3, db), dc), dd)), da), bb) -> new_esEs0(xv301, xv401, db, dc, dd) 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(Just(xv300), Just(xv400), app(app(app(ty_@3, fd), ff), fg)) -> new_esEs0(xv300, xv400, fd, ff, fg) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 *new_esEs1(Just(xv300), Just(xv400), app(app(ty_Either, fb), fc)) -> new_esEs(xv300, xv400, fb, fc) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs1(Just(xv300), Just(xv400), app(ty_[], ga)) -> new_esEs2(xv300, xv400, ga) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs2(:(xv300, xv301), :(xv400, xv401), app(app(app(ty_@3, gg), gh), ha)) -> new_esEs0(xv300, xv400, gg, gh, ha) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 *new_esEs2(:(xv300, xv301), :(xv400, xv401), app(app(ty_Either, ge), gf)) -> new_esEs(xv300, xv400, ge, gf) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs1(Just(xv300), Just(xv400), app(app(ty_@2, gb), gc)) -> new_esEs3(xv300, xv400, gb, gc) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs1(Just(xv300), Just(xv400), app(ty_Maybe, fh)) -> new_esEs1(xv300, xv400, fh) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs2(:(xv300, xv301), :(xv400, xv401), app(app(ty_@2, hd), he)) -> new_esEs3(xv300, xv400, hd, he) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs2(:(xv300, xv301), :(xv400, xv401), app(ty_Maybe, hb)) -> new_esEs1(xv300, xv400, hb) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs3(@2(xv300, xv301), @2(xv400, xv401), app(app(app(ty_@3, bbc), bbd), bbe), bbb) -> new_esEs0(xv300, xv400, bbc, bbd, bbe) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 *new_esEs3(@2(xv300, xv301), @2(xv400, xv401), hf, app(app(app(ty_@3, baa), bab), bac)) -> new_esEs0(xv301, xv401, baa, bab, bac) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4, 4 > 5 *new_esEs0(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), bc, app(app(app(ty_@3, db), dc), dd), da) -> new_esEs0(xv301, xv401, db, dc, dd) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4, 4 > 5 *new_esEs0(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), bc, bd, app(app(app(ty_@3, bg), bh), ca)) -> new_esEs0(xv302, xv402, bg, bh, ca) The graph contains the following edges 1 > 1, 2 > 2, 5 > 3, 5 > 4, 5 > 5 *new_esEs0(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), app(app(app(ty_@3, ec), ed), ee), bd, da) -> new_esEs0(xv300, xv400, ec, ed, ee) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 *new_esEs(Right(xv30), Right(xv40), bcb, app(app(app(ty_@3, bce), bcf), bcg)) -> new_esEs0(xv30, xv40, bce, bcf, bcg) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4, 4 > 5 *new_esEs(Left(@2(xv300, xv301)), Left(@2(xv400, xv401)), app(app(ty_@2, app(app(app(ty_@3, bbc), bbd), bbe)), bbb), bb) -> new_esEs0(xv300, xv400, bbc, bbd, bbe) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 *new_esEs(Left(Just(xv300)), Left(Just(xv400)), app(ty_Maybe, app(app(app(ty_@3, fd), ff), fg)), bb) -> new_esEs0(xv300, xv400, fd, ff, fg) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 *new_esEs(Left(@3(xv300, xv301, xv302)), Left(@3(xv400, xv401, xv402)), app(app(app(ty_@3, bc), bd), app(app(app(ty_@3, bg), bh), ca)), bb) -> new_esEs0(xv302, xv402, bg, bh, ca) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 *new_esEs(Left(@3(xv300, xv301, xv302)), Left(@3(xv400, xv401, xv402)), app(app(app(ty_@3, app(app(app(ty_@3, ec), ed), ee)), bd), da), bb) -> new_esEs0(xv300, xv400, ec, ed, ee) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 *new_esEs(Left(:(xv300, xv301)), Left(:(xv400, xv401)), app(ty_[], app(app(app(ty_@3, gg), gh), ha)), bb) -> new_esEs0(xv300, xv400, gg, gh, ha) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 *new_esEs(Left(@2(xv300, xv301)), Left(@2(xv400, xv401)), app(app(ty_@2, hf), app(app(app(ty_@3, baa), bab), bac)), bb) -> new_esEs0(xv301, xv401, baa, bab, bac) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 *new_esEs(Left(@3(xv300, xv301, xv302)), Left(@3(xv400, xv401, xv402)), app(app(app(ty_@3, bc), app(app(app(ty_@3, db), dc), dd)), da), bb) -> new_esEs0(xv301, xv401, db, dc, dd) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 *new_esEs3(@2(xv300, xv301), @2(xv400, xv401), hf, app(app(ty_Either, hg), hh)) -> new_esEs(xv301, xv401, hg, hh) 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_Either, bah), bba), bbb) -> new_esEs(xv300, xv400, bah, bba) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs0(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), app(app(ty_Either, ea), eb), bd, da) -> new_esEs(xv300, xv400, ea, eb) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs0(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), bc, bd, app(app(ty_Either, be), bf)) -> new_esEs(xv302, xv402, be, bf) The graph contains the following edges 1 > 1, 2 > 2, 5 > 3, 5 > 4 *new_esEs0(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), bc, app(app(ty_Either, cf), cg), da) -> new_esEs(xv301, xv401, cf, cg) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 *new_esEs(Left(@2(xv300, xv301)), Left(@2(xv400, xv401)), app(app(ty_@2, hf), app(app(ty_Either, hg), hh)), bb) -> new_esEs(xv301, xv401, hg, hh) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs(Left(@3(xv300, xv301, xv302)), Left(@3(xv400, xv401, xv402)), app(app(app(ty_@3, app(app(ty_Either, ea), eb)), bd), da), bb) -> new_esEs(xv300, xv400, ea, eb) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs(Left(:(xv300, xv301)), Left(:(xv400, xv401)), app(ty_[], app(app(ty_Either, ge), gf)), bb) -> new_esEs(xv300, xv400, ge, gf) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs(Left(Just(xv300)), Left(Just(xv400)), app(ty_Maybe, app(app(ty_Either, fb), fc)), bb) -> new_esEs(xv300, xv400, fb, fc) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs(Left(@3(xv300, xv301, xv302)), Left(@3(xv400, xv401, xv402)), app(app(app(ty_@3, bc), app(app(ty_Either, cf), cg)), da), bb) -> new_esEs(xv301, xv401, cf, cg) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs(Left(@2(xv300, xv301)), Left(@2(xv400, xv401)), app(app(ty_@2, app(app(ty_Either, bah), bba)), bbb), bb) -> new_esEs(xv300, xv400, bah, bba) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs(Right(xv30), Right(xv40), bcb, app(app(ty_Either, bcc), bcd)) -> new_esEs(xv30, xv40, bcc, bcd) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 *new_esEs(Left(@3(xv300, xv301, xv302)), Left(@3(xv400, xv401, xv402)), app(app(app(ty_@3, bc), bd), app(app(ty_Either, be), bf)), bb) -> new_esEs(xv302, xv402, be, bf) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs(Left(xv30), Left(xv40), app(app(ty_Either, h), ba), bb) -> new_esEs(xv30, xv40, h, ba) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs3(@2(xv300, xv301), @2(xv400, xv401), app(ty_[], bbg), bbb) -> new_esEs2(xv300, xv400, bbg) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs3(@2(xv300, xv301), @2(xv400, xv401), hf, app(ty_[], bae)) -> new_esEs2(xv301, xv401, bae) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 *new_esEs3(@2(xv300, xv301), @2(xv400, xv401), hf, app(app(ty_@2, baf), bag)) -> new_esEs3(xv301, xv401, baf, bag) 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, bbh), bca), bbb) -> new_esEs3(xv300, xv400, bbh, bca) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs3(@2(xv300, xv301), @2(xv400, xv401), app(ty_Maybe, bbf), bbb) -> new_esEs1(xv300, xv400, bbf) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs3(@2(xv300, xv301), @2(xv400, xv401), hf, app(ty_Maybe, bad)) -> new_esEs1(xv301, xv401, bad) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 *new_esEs0(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), bc, bd, app(ty_[], cc)) -> new_esEs2(xv302, xv402, cc) The graph contains the following edges 1 > 1, 2 > 2, 5 > 3 *new_esEs0(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), app(ty_[], eg), bd, da) -> new_esEs2(xv300, xv400, eg) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs0(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), bc, app(ty_[], df), da) -> new_esEs2(xv301, xv401, df) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 *new_esEs0(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), app(app(ty_@2, eh), fa), bd, da) -> new_esEs3(xv300, xv400, eh, fa) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs0(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), bc, app(app(ty_@2, dg), dh), da) -> new_esEs3(xv301, xv401, dg, dh) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 *new_esEs0(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), bc, bd, app(app(ty_@2, cd), ce)) -> new_esEs3(xv302, xv402, cd, ce) The graph contains the following edges 1 > 1, 2 > 2, 5 > 3, 5 > 4 *new_esEs0(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), app(ty_Maybe, ef), bd, da) -> new_esEs1(xv300, xv400, ef) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs0(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), bc, bd, app(ty_Maybe, cb)) -> new_esEs1(xv302, xv402, cb) The graph contains the following edges 1 > 1, 2 > 2, 5 > 3 *new_esEs0(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), bc, app(ty_Maybe, de), da) -> new_esEs1(xv301, xv401, de) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 *new_esEs2(:(xv300, xv301), :(xv400, xv401), gd) -> new_esEs2(xv301, xv401, gd) The graph contains the following edges 1 > 1, 2 > 2, 3 >= 3 *new_esEs2(:(xv300, xv301), :(xv400, xv401), app(ty_[], hc)) -> new_esEs2(xv300, xv400, hc) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs(Left(Just(xv300)), Left(Just(xv400)), app(ty_Maybe, app(ty_[], ga)), bb) -> new_esEs2(xv300, xv400, ga) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs(Left(@3(xv300, xv301, xv302)), Left(@3(xv400, xv401, xv402)), app(app(app(ty_@3, app(ty_[], eg)), bd), da), bb) -> new_esEs2(xv300, xv400, eg) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs(Left(@2(xv300, xv301)), Left(@2(xv400, xv401)), app(app(ty_@2, hf), app(ty_[], bae)), bb) -> new_esEs2(xv301, xv401, bae) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs(Right(xv30), Right(xv40), bcb, app(ty_[], bda)) -> new_esEs2(xv30, xv40, bda) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 *new_esEs(Left(@2(xv300, xv301)), Left(@2(xv400, xv401)), app(app(ty_@2, app(ty_[], bbg)), bbb), bb) -> new_esEs2(xv300, xv400, bbg) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs(Left(@3(xv300, xv301, xv302)), Left(@3(xv400, xv401, xv402)), app(app(app(ty_@3, bc), bd), app(ty_[], cc)), bb) -> new_esEs2(xv302, xv402, cc) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs(Left(:(xv300, xv301)), Left(:(xv400, xv401)), app(ty_[], gd), bb) -> new_esEs2(xv301, xv401, gd) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs(Left(:(xv300, xv301)), Left(:(xv400, xv401)), app(ty_[], app(ty_[], hc)), bb) -> new_esEs2(xv300, xv400, hc) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs(Left(@3(xv300, xv301, xv302)), Left(@3(xv400, xv401, xv402)), app(app(app(ty_@3, bc), app(ty_[], df)), da), bb) -> new_esEs2(xv301, xv401, df) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs(Left(:(xv300, xv301)), Left(:(xv400, xv401)), app(ty_[], app(app(ty_@2, hd), he)), bb) -> new_esEs3(xv300, xv400, hd, he) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs(Left(Just(xv300)), Left(Just(xv400)), app(ty_Maybe, app(app(ty_@2, gb), gc)), bb) -> new_esEs3(xv300, xv400, gb, gc) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs(Left(@2(xv300, xv301)), Left(@2(xv400, xv401)), app(app(ty_@2, app(app(ty_@2, bbh), bca)), bbb), bb) -> new_esEs3(xv300, xv400, bbh, bca) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs(Left(@3(xv300, xv301, xv302)), Left(@3(xv400, xv401, xv402)), app(app(app(ty_@3, bc), bd), app(app(ty_@2, cd), ce)), bb) -> new_esEs3(xv302, xv402, cd, ce) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs(Left(@2(xv300, xv301)), Left(@2(xv400, xv401)), app(app(ty_@2, hf), app(app(ty_@2, baf), bag)), bb) -> new_esEs3(xv301, xv401, baf, bag) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs(Right(xv30), Right(xv40), bcb, app(app(ty_@2, bdb), bdc)) -> new_esEs3(xv30, xv40, bdb, bdc) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 *new_esEs(Left(@3(xv300, xv301, xv302)), Left(@3(xv400, xv401, xv402)), app(app(app(ty_@3, bc), app(app(ty_@2, dg), dh)), da), bb) -> new_esEs3(xv301, xv401, dg, dh) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs(Left(@3(xv300, xv301, xv302)), Left(@3(xv400, xv401, xv402)), app(app(app(ty_@3, app(app(ty_@2, eh), fa)), bd), da), bb) -> new_esEs3(xv300, xv400, eh, fa) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs(Left(@3(xv300, xv301, xv302)), Left(@3(xv400, xv401, xv402)), app(app(app(ty_@3, bc), app(ty_Maybe, de)), da), bb) -> new_esEs1(xv301, xv401, de) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs(Left(@3(xv300, xv301, xv302)), Left(@3(xv400, xv401, xv402)), app(app(app(ty_@3, bc), bd), app(ty_Maybe, cb)), bb) -> new_esEs1(xv302, xv402, cb) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs(Left(Just(xv300)), Left(Just(xv400)), app(ty_Maybe, app(ty_Maybe, fh)), bb) -> new_esEs1(xv300, xv400, fh) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs(Left(:(xv300, xv301)), Left(:(xv400, xv401)), app(ty_[], app(ty_Maybe, hb)), bb) -> new_esEs1(xv300, xv400, hb) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs(Right(xv30), Right(xv40), bcb, app(ty_Maybe, bch)) -> new_esEs1(xv30, xv40, bch) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 *new_esEs(Left(@3(xv300, xv301, xv302)), Left(@3(xv400, xv401, xv402)), app(app(app(ty_@3, app(ty_Maybe, ef)), bd), da), bb) -> new_esEs1(xv300, xv400, ef) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs(Left(@2(xv300, xv301)), Left(@2(xv400, xv401)), app(app(ty_@2, app(ty_Maybe, bbf)), bbb), bb) -> new_esEs1(xv300, xv400, bbf) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs(Left(@2(xv300, xv301)), Left(@2(xv400, xv401)), app(app(ty_@2, hf), app(ty_Maybe, bad)), bb) -> new_esEs1(xv301, xv401, bad) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 ---------------------------------------- (9) YES ---------------------------------------- (10) Obligation: Q DP problem: The TRS P consists of the following rules: new_primMulNat(Succ(xv30000), Succ(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(xv2400), Succ(xv401000)) -> new_primPlusNat(xv2400, 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(xv2400), Succ(xv401000)) -> new_primPlusNat(xv2400, 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