/export/starexec/sandbox2/solver/bin/starexec_run_standard /export/starexec/sandbox2/benchmark/theBenchmark.hs /export/starexec/sandbox2/output/output_files -------------------------------------------------------------------------------- YES proof of /export/starexec/sandbox2/benchmark/theBenchmark.hs # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty H-Termination with start terms of the given HASKELL could be proven: (0) HASKELL (1) BR [EQUIVALENT, 0 ms] (2) HASKELL (3) COR [EQUIVALENT, 0 ms] (4)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, 19 ms] (9) YES (10) QDP (11) QDPSizeChangeProof [EQUIVALENT, 0 ms] (12) YES (13) QDP (14) QDPSizeChangeProof [EQUIVALENT, 0 ms] (15) YES (16) QDP (17) QDPSizeChangeProof [EQUIVALENT, 0 ms] (18) YES ---------------------------------------- (0) Obligation: mainModule Main module Main where { import qualified Prelude; } ---------------------------------------- (1) BR (EQUIVALENT) Replaced joker patterns by fresh variables and removed binding patterns. ---------------------------------------- (2) Obligation: mainModule Main module Main where { import qualified Prelude; } ---------------------------------------- (3) COR (EQUIVALENT) Cond Reductions: The following Function with conditions "undefined |Falseundefined; " is transformed to "undefined = undefined1; " "undefined0 True = undefined; " "undefined1 = undefined0 False; " ---------------------------------------- (4) Obligation: mainModule Main module Main where { import qualified Prelude; } ---------------------------------------- (5) Narrow (SOUND) Haskell To QDPs digraph dp_graph { node [outthreshold=100, inthreshold=100];1[label="(/=)",fontsize=16,color="grey",shape="box"];1 -> 3[label="",style="dashed", color="grey", weight=3]; 3[label="(/=) xv3",fontsize=16,color="grey",shape="box"];3 -> 4[label="",style="dashed", color="grey", weight=3]; 4[label="(/=) xv3 xv4",fontsize=16,color="black",shape="triangle"];4 -> 5[label="",style="solid", color="black", weight=3]; 5 -> 18[label="",style="dashed", color="red", weight=0]; 5[label="not (xv3 == xv4)",fontsize=16,color="magenta"];5 -> 19[label="",style="dashed", color="magenta", weight=3]; 19[label="xv3 == xv4",fontsize=16,color="burlywood",shape="triangle"];644[label="xv3/Nothing",fontsize=10,color="white",style="solid",shape="box"];19 -> 644[label="",style="solid", color="burlywood", weight=9]; 644 -> 24[label="",style="solid", color="burlywood", weight=3]; 645[label="xv3/Just xv30",fontsize=10,color="white",style="solid",shape="box"];19 -> 645[label="",style="solid", color="burlywood", weight=9]; 645 -> 25[label="",style="solid", color="burlywood", weight=3]; 18[label="not xv7",fontsize=16,color="burlywood",shape="triangle"];646[label="xv7/False",fontsize=10,color="white",style="solid",shape="box"];18 -> 646[label="",style="solid", color="burlywood", weight=9]; 646 -> 26[label="",style="solid", color="burlywood", weight=3]; 647[label="xv7/True",fontsize=10,color="white",style="solid",shape="box"];18 -> 647[label="",style="solid", color="burlywood", weight=9]; 647 -> 27[label="",style="solid", color="burlywood", weight=3]; 24[label="Nothing == xv4",fontsize=16,color="burlywood",shape="box"];648[label="xv4/Nothing",fontsize=10,color="white",style="solid",shape="box"];24 -> 648[label="",style="solid", color="burlywood", weight=9]; 648 -> 28[label="",style="solid", color="burlywood", weight=3]; 649[label="xv4/Just xv40",fontsize=10,color="white",style="solid",shape="box"];24 -> 649[label="",style="solid", color="burlywood", weight=9]; 649 -> 29[label="",style="solid", color="burlywood", weight=3]; 25[label="Just xv30 == xv4",fontsize=16,color="burlywood",shape="box"];650[label="xv4/Nothing",fontsize=10,color="white",style="solid",shape="box"];25 -> 650[label="",style="solid", color="burlywood", weight=9]; 650 -> 30[label="",style="solid", color="burlywood", weight=3]; 651[label="xv4/Just xv40",fontsize=10,color="white",style="solid",shape="box"];25 -> 651[label="",style="solid", color="burlywood", weight=9]; 651 -> 31[label="",style="solid", color="burlywood", weight=3]; 26[label="not False",fontsize=16,color="black",shape="box"];26 -> 32[label="",style="solid", color="black", weight=3]; 27[label="not True",fontsize=16,color="black",shape="box"];27 -> 33[label="",style="solid", color="black", weight=3]; 28[label="Nothing == Nothing",fontsize=16,color="black",shape="box"];28 -> 34[label="",style="solid", color="black", weight=3]; 29[label="Nothing == Just xv40",fontsize=16,color="black",shape="box"];29 -> 35[label="",style="solid", color="black", weight=3]; 30[label="Just xv30 == Nothing",fontsize=16,color="black",shape="box"];30 -> 36[label="",style="solid", color="black", weight=3]; 31[label="Just xv30 == Just xv40",fontsize=16,color="black",shape="box"];31 -> 37[label="",style="solid", color="black", weight=3]; 32[label="True",fontsize=16,color="green",shape="box"];33[label="False",fontsize=16,color="green",shape="box"];34[label="True",fontsize=16,color="green",shape="box"];35[label="False",fontsize=16,color="green",shape="box"];36[label="False",fontsize=16,color="green",shape="box"];37[label="xv30 == xv40",fontsize=16,color="blue",shape="box"];652[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];37 -> 652[label="",style="solid", color="blue", weight=9]; 652 -> 38[label="",style="solid", color="blue", weight=3]; 653[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];37 -> 653[label="",style="solid", color="blue", weight=9]; 653 -> 39[label="",style="solid", color="blue", weight=3]; 654[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];37 -> 654[label="",style="solid", color="blue", weight=9]; 654 -> 40[label="",style="solid", color="blue", weight=3]; 655[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];37 -> 655[label="",style="solid", color="blue", weight=9]; 655 -> 41[label="",style="solid", color="blue", weight=3]; 656[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];37 -> 656[label="",style="solid", color="blue", weight=9]; 656 -> 42[label="",style="solid", color="blue", weight=3]; 657[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];37 -> 657[label="",style="solid", color="blue", weight=9]; 657 -> 43[label="",style="solid", color="blue", weight=3]; 658[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];37 -> 658[label="",style="solid", color="blue", weight=9]; 658 -> 44[label="",style="solid", color="blue", weight=3]; 659[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];37 -> 659[label="",style="solid", color="blue", weight=9]; 659 -> 45[label="",style="solid", color="blue", weight=3]; 660[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];37 -> 660[label="",style="solid", color="blue", weight=9]; 660 -> 46[label="",style="solid", color="blue", weight=3]; 661[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];37 -> 661[label="",style="solid", color="blue", weight=9]; 661 -> 47[label="",style="solid", color="blue", weight=3]; 662[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];37 -> 662[label="",style="solid", color="blue", weight=9]; 662 -> 48[label="",style="solid", color="blue", weight=3]; 663[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];37 -> 663[label="",style="solid", color="blue", weight=9]; 663 -> 49[label="",style="solid", color="blue", weight=3]; 664[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];37 -> 664[label="",style="solid", color="blue", weight=9]; 664 -> 50[label="",style="solid", color="blue", weight=3]; 665[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];37 -> 665[label="",style="solid", color="blue", weight=9]; 665 -> 51[label="",style="solid", color="blue", weight=3]; 38[label="xv30 == xv40",fontsize=16,color="burlywood",shape="triangle"];666[label="xv30/xv300 :% xv301",fontsize=10,color="white",style="solid",shape="box"];38 -> 666[label="",style="solid", color="burlywood", weight=9]; 666 -> 52[label="",style="solid", color="burlywood", weight=3]; 39[label="xv30 == xv40",fontsize=16,color="burlywood",shape="triangle"];667[label="xv30/(xv300,xv301,xv302)",fontsize=10,color="white",style="solid",shape="box"];39 -> 667[label="",style="solid", color="burlywood", weight=9]; 667 -> 53[label="",style="solid", color="burlywood", weight=3]; 40[label="xv30 == xv40",fontsize=16,color="burlywood",shape="triangle"];668[label="xv30/False",fontsize=10,color="white",style="solid",shape="box"];40 -> 668[label="",style="solid", color="burlywood", weight=9]; 668 -> 54[label="",style="solid", color="burlywood", weight=3]; 669[label="xv30/True",fontsize=10,color="white",style="solid",shape="box"];40 -> 669[label="",style="solid", color="burlywood", weight=9]; 669 -> 55[label="",style="solid", color="burlywood", weight=3]; 41[label="xv30 == xv40",fontsize=16,color="burlywood",shape="triangle"];670[label="xv30/xv300 : xv301",fontsize=10,color="white",style="solid",shape="box"];41 -> 670[label="",style="solid", color="burlywood", weight=9]; 670 -> 56[label="",style="solid", color="burlywood", weight=3]; 671[label="xv30/[]",fontsize=10,color="white",style="solid",shape="box"];41 -> 671[label="",style="solid", color="burlywood", weight=9]; 671 -> 57[label="",style="solid", color="burlywood", weight=3]; 42[label="xv30 == xv40",fontsize=16,color="burlywood",shape="triangle"];672[label="xv30/(xv300,xv301)",fontsize=10,color="white",style="solid",shape="box"];42 -> 672[label="",style="solid", color="burlywood", weight=9]; 672 -> 58[label="",style="solid", color="burlywood", weight=3]; 43[label="xv30 == xv40",fontsize=16,color="black",shape="triangle"];43 -> 59[label="",style="solid", color="black", weight=3]; 44 -> 19[label="",style="dashed", color="red", weight=0]; 44[label="xv30 == xv40",fontsize=16,color="magenta"];44 -> 60[label="",style="dashed", color="magenta", weight=3]; 44 -> 61[label="",style="dashed", color="magenta", weight=3]; 45[label="xv30 == xv40",fontsize=16,color="burlywood",shape="triangle"];673[label="xv30/Left xv300",fontsize=10,color="white",style="solid",shape="box"];45 -> 673[label="",style="solid", color="burlywood", weight=9]; 673 -> 62[label="",style="solid", color="burlywood", weight=3]; 674[label="xv30/Right xv300",fontsize=10,color="white",style="solid",shape="box"];45 -> 674[label="",style="solid", color="burlywood", weight=9]; 674 -> 63[label="",style="solid", color="burlywood", weight=3]; 46[label="xv30 == xv40",fontsize=16,color="burlywood",shape="triangle"];675[label="xv30/Integer xv300",fontsize=10,color="white",style="solid",shape="box"];46 -> 675[label="",style="solid", color="burlywood", weight=9]; 675 -> 64[label="",style="solid", color="burlywood", weight=3]; 47[label="xv30 == xv40",fontsize=16,color="black",shape="triangle"];47 -> 65[label="",style="solid", color="black", weight=3]; 48[label="xv30 == xv40",fontsize=16,color="black",shape="triangle"];48 -> 66[label="",style="solid", color="black", weight=3]; 49[label="xv30 == xv40",fontsize=16,color="burlywood",shape="triangle"];676[label="xv30/LT",fontsize=10,color="white",style="solid",shape="box"];49 -> 676[label="",style="solid", color="burlywood", weight=9]; 676 -> 67[label="",style="solid", color="burlywood", weight=3]; 677[label="xv30/EQ",fontsize=10,color="white",style="solid",shape="box"];49 -> 677[label="",style="solid", color="burlywood", weight=9]; 677 -> 68[label="",style="solid", color="burlywood", weight=3]; 678[label="xv30/GT",fontsize=10,color="white",style="solid",shape="box"];49 -> 678[label="",style="solid", color="burlywood", weight=9]; 678 -> 69[label="",style="solid", color="burlywood", weight=3]; 50[label="xv30 == xv40",fontsize=16,color="burlywood",shape="triangle"];679[label="xv30/()",fontsize=10,color="white",style="solid",shape="box"];50 -> 679[label="",style="solid", color="burlywood", weight=9]; 679 -> 70[label="",style="solid", color="burlywood", weight=3]; 51[label="xv30 == xv40",fontsize=16,color="black",shape="triangle"];51 -> 71[label="",style="solid", color="black", weight=3]; 52[label="xv300 :% xv301 == xv40",fontsize=16,color="burlywood",shape="box"];680[label="xv40/xv400 :% xv401",fontsize=10,color="white",style="solid",shape="box"];52 -> 680[label="",style="solid", color="burlywood", weight=9]; 680 -> 72[label="",style="solid", color="burlywood", weight=3]; 53[label="(xv300,xv301,xv302) == xv40",fontsize=16,color="burlywood",shape="box"];681[label="xv40/(xv400,xv401,xv402)",fontsize=10,color="white",style="solid",shape="box"];53 -> 681[label="",style="solid", color="burlywood", weight=9]; 681 -> 73[label="",style="solid", color="burlywood", weight=3]; 54[label="False == xv40",fontsize=16,color="burlywood",shape="box"];682[label="xv40/False",fontsize=10,color="white",style="solid",shape="box"];54 -> 682[label="",style="solid", color="burlywood", weight=9]; 682 -> 74[label="",style="solid", color="burlywood", weight=3]; 683[label="xv40/True",fontsize=10,color="white",style="solid",shape="box"];54 -> 683[label="",style="solid", color="burlywood", weight=9]; 683 -> 75[label="",style="solid", color="burlywood", weight=3]; 55[label="True == xv40",fontsize=16,color="burlywood",shape="box"];684[label="xv40/False",fontsize=10,color="white",style="solid",shape="box"];55 -> 684[label="",style="solid", color="burlywood", weight=9]; 684 -> 76[label="",style="solid", color="burlywood", weight=3]; 685[label="xv40/True",fontsize=10,color="white",style="solid",shape="box"];55 -> 685[label="",style="solid", color="burlywood", weight=9]; 685 -> 77[label="",style="solid", color="burlywood", weight=3]; 56[label="xv300 : xv301 == xv40",fontsize=16,color="burlywood",shape="box"];686[label="xv40/xv400 : xv401",fontsize=10,color="white",style="solid",shape="box"];56 -> 686[label="",style="solid", color="burlywood", weight=9]; 686 -> 78[label="",style="solid", color="burlywood", weight=3]; 687[label="xv40/[]",fontsize=10,color="white",style="solid",shape="box"];56 -> 687[label="",style="solid", color="burlywood", weight=9]; 687 -> 79[label="",style="solid", color="burlywood", weight=3]; 57[label="[] == xv40",fontsize=16,color="burlywood",shape="box"];688[label="xv40/xv400 : xv401",fontsize=10,color="white",style="solid",shape="box"];57 -> 688[label="",style="solid", color="burlywood", weight=9]; 688 -> 80[label="",style="solid", color="burlywood", weight=3]; 689[label="xv40/[]",fontsize=10,color="white",style="solid",shape="box"];57 -> 689[label="",style="solid", color="burlywood", weight=9]; 689 -> 81[label="",style="solid", color="burlywood", weight=3]; 58[label="(xv300,xv301) == xv40",fontsize=16,color="burlywood",shape="box"];690[label="xv40/(xv400,xv401)",fontsize=10,color="white",style="solid",shape="box"];58 -> 690[label="",style="solid", color="burlywood", weight=9]; 690 -> 82[label="",style="solid", color="burlywood", weight=3]; 59[label="primEqDouble xv30 xv40",fontsize=16,color="burlywood",shape="box"];691[label="xv30/Double xv300 xv301",fontsize=10,color="white",style="solid",shape="box"];59 -> 691[label="",style="solid", color="burlywood", weight=9]; 691 -> 83[label="",style="solid", color="burlywood", weight=3]; 60[label="xv40",fontsize=16,color="green",shape="box"];61[label="xv30",fontsize=16,color="green",shape="box"];62[label="Left xv300 == xv40",fontsize=16,color="burlywood",shape="box"];692[label="xv40/Left xv400",fontsize=10,color="white",style="solid",shape="box"];62 -> 692[label="",style="solid", color="burlywood", weight=9]; 692 -> 84[label="",style="solid", color="burlywood", weight=3]; 693[label="xv40/Right xv400",fontsize=10,color="white",style="solid",shape="box"];62 -> 693[label="",style="solid", color="burlywood", weight=9]; 693 -> 85[label="",style="solid", color="burlywood", weight=3]; 63[label="Right xv300 == xv40",fontsize=16,color="burlywood",shape="box"];694[label="xv40/Left xv400",fontsize=10,color="white",style="solid",shape="box"];63 -> 694[label="",style="solid", color="burlywood", weight=9]; 694 -> 86[label="",style="solid", color="burlywood", weight=3]; 695[label="xv40/Right xv400",fontsize=10,color="white",style="solid",shape="box"];63 -> 695[label="",style="solid", color="burlywood", weight=9]; 695 -> 87[label="",style="solid", color="burlywood", weight=3]; 64[label="Integer xv300 == xv40",fontsize=16,color="burlywood",shape="box"];696[label="xv40/Integer xv400",fontsize=10,color="white",style="solid",shape="box"];64 -> 696[label="",style="solid", color="burlywood", weight=9]; 696 -> 88[label="",style="solid", color="burlywood", weight=3]; 65[label="primEqInt xv30 xv40",fontsize=16,color="burlywood",shape="triangle"];697[label="xv30/Pos xv300",fontsize=10,color="white",style="solid",shape="box"];65 -> 697[label="",style="solid", color="burlywood", weight=9]; 697 -> 89[label="",style="solid", color="burlywood", weight=3]; 698[label="xv30/Neg xv300",fontsize=10,color="white",style="solid",shape="box"];65 -> 698[label="",style="solid", color="burlywood", weight=9]; 698 -> 90[label="",style="solid", color="burlywood", weight=3]; 66[label="primEqChar xv30 xv40",fontsize=16,color="burlywood",shape="box"];699[label="xv30/Char xv300",fontsize=10,color="white",style="solid",shape="box"];66 -> 699[label="",style="solid", color="burlywood", weight=9]; 699 -> 91[label="",style="solid", color="burlywood", weight=3]; 67[label="LT == xv40",fontsize=16,color="burlywood",shape="box"];700[label="xv40/LT",fontsize=10,color="white",style="solid",shape="box"];67 -> 700[label="",style="solid", color="burlywood", weight=9]; 700 -> 92[label="",style="solid", color="burlywood", weight=3]; 701[label="xv40/EQ",fontsize=10,color="white",style="solid",shape="box"];67 -> 701[label="",style="solid", color="burlywood", weight=9]; 701 -> 93[label="",style="solid", color="burlywood", weight=3]; 702[label="xv40/GT",fontsize=10,color="white",style="solid",shape="box"];67 -> 702[label="",style="solid", color="burlywood", weight=9]; 702 -> 94[label="",style="solid", color="burlywood", weight=3]; 68[label="EQ == xv40",fontsize=16,color="burlywood",shape="box"];703[label="xv40/LT",fontsize=10,color="white",style="solid",shape="box"];68 -> 703[label="",style="solid", color="burlywood", weight=9]; 703 -> 95[label="",style="solid", color="burlywood", weight=3]; 704[label="xv40/EQ",fontsize=10,color="white",style="solid",shape="box"];68 -> 704[label="",style="solid", color="burlywood", weight=9]; 704 -> 96[label="",style="solid", color="burlywood", weight=3]; 705[label="xv40/GT",fontsize=10,color="white",style="solid",shape="box"];68 -> 705[label="",style="solid", color="burlywood", weight=9]; 705 -> 97[label="",style="solid", color="burlywood", weight=3]; 69[label="GT == xv40",fontsize=16,color="burlywood",shape="box"];706[label="xv40/LT",fontsize=10,color="white",style="solid",shape="box"];69 -> 706[label="",style="solid", color="burlywood", weight=9]; 706 -> 98[label="",style="solid", color="burlywood", weight=3]; 707[label="xv40/EQ",fontsize=10,color="white",style="solid",shape="box"];69 -> 707[label="",style="solid", color="burlywood", weight=9]; 707 -> 99[label="",style="solid", color="burlywood", weight=3]; 708[label="xv40/GT",fontsize=10,color="white",style="solid",shape="box"];69 -> 708[label="",style="solid", color="burlywood", weight=9]; 708 -> 100[label="",style="solid", color="burlywood", weight=3]; 70[label="() == xv40",fontsize=16,color="burlywood",shape="box"];709[label="xv40/()",fontsize=10,color="white",style="solid",shape="box"];70 -> 709[label="",style="solid", color="burlywood", weight=9]; 709 -> 101[label="",style="solid", color="burlywood", weight=3]; 71[label="primEqFloat xv30 xv40",fontsize=16,color="burlywood",shape="box"];710[label="xv30/Float xv300 xv301",fontsize=10,color="white",style="solid",shape="box"];71 -> 710[label="",style="solid", color="burlywood", weight=9]; 710 -> 102[label="",style="solid", color="burlywood", weight=3]; 72[label="xv300 :% xv301 == xv400 :% xv401",fontsize=16,color="black",shape="box"];72 -> 103[label="",style="solid", color="black", weight=3]; 73[label="(xv300,xv301,xv302) == (xv400,xv401,xv402)",fontsize=16,color="black",shape="box"];73 -> 104[label="",style="solid", color="black", weight=3]; 74[label="False == False",fontsize=16,color="black",shape="box"];74 -> 105[label="",style="solid", color="black", weight=3]; 75[label="False == True",fontsize=16,color="black",shape="box"];75 -> 106[label="",style="solid", color="black", weight=3]; 76[label="True == False",fontsize=16,color="black",shape="box"];76 -> 107[label="",style="solid", color="black", weight=3]; 77[label="True == True",fontsize=16,color="black",shape="box"];77 -> 108[label="",style="solid", color="black", weight=3]; 78[label="xv300 : xv301 == xv400 : xv401",fontsize=16,color="black",shape="box"];78 -> 109[label="",style="solid", color="black", weight=3]; 79[label="xv300 : xv301 == []",fontsize=16,color="black",shape="box"];79 -> 110[label="",style="solid", color="black", weight=3]; 80[label="[] == xv400 : xv401",fontsize=16,color="black",shape="box"];80 -> 111[label="",style="solid", color="black", weight=3]; 81[label="[] == []",fontsize=16,color="black",shape="box"];81 -> 112[label="",style="solid", color="black", weight=3]; 82[label="(xv300,xv301) == (xv400,xv401)",fontsize=16,color="black",shape="box"];82 -> 113[label="",style="solid", color="black", weight=3]; 83[label="primEqDouble (Double xv300 xv301) xv40",fontsize=16,color="burlywood",shape="box"];711[label="xv40/Double xv400 xv401",fontsize=10,color="white",style="solid",shape="box"];83 -> 711[label="",style="solid", color="burlywood", weight=9]; 711 -> 114[label="",style="solid", color="burlywood", weight=3]; 84[label="Left xv300 == Left xv400",fontsize=16,color="black",shape="box"];84 -> 115[label="",style="solid", color="black", weight=3]; 85[label="Left xv300 == Right xv400",fontsize=16,color="black",shape="box"];85 -> 116[label="",style="solid", color="black", weight=3]; 86[label="Right xv300 == Left xv400",fontsize=16,color="black",shape="box"];86 -> 117[label="",style="solid", color="black", weight=3]; 87[label="Right xv300 == Right xv400",fontsize=16,color="black",shape="box"];87 -> 118[label="",style="solid", color="black", weight=3]; 88[label="Integer xv300 == Integer xv400",fontsize=16,color="black",shape="box"];88 -> 119[label="",style="solid", color="black", weight=3]; 89[label="primEqInt (Pos xv300) xv40",fontsize=16,color="burlywood",shape="box"];712[label="xv300/Succ xv3000",fontsize=10,color="white",style="solid",shape="box"];89 -> 712[label="",style="solid", color="burlywood", weight=9]; 712 -> 120[label="",style="solid", color="burlywood", weight=3]; 713[label="xv300/Zero",fontsize=10,color="white",style="solid",shape="box"];89 -> 713[label="",style="solid", color="burlywood", weight=9]; 713 -> 121[label="",style="solid", color="burlywood", weight=3]; 90[label="primEqInt (Neg xv300) xv40",fontsize=16,color="burlywood",shape="box"];714[label="xv300/Succ xv3000",fontsize=10,color="white",style="solid",shape="box"];90 -> 714[label="",style="solid", color="burlywood", weight=9]; 714 -> 122[label="",style="solid", color="burlywood", weight=3]; 715[label="xv300/Zero",fontsize=10,color="white",style="solid",shape="box"];90 -> 715[label="",style="solid", color="burlywood", weight=9]; 715 -> 123[label="",style="solid", color="burlywood", weight=3]; 91[label="primEqChar (Char xv300) xv40",fontsize=16,color="burlywood",shape="box"];716[label="xv40/Char xv400",fontsize=10,color="white",style="solid",shape="box"];91 -> 716[label="",style="solid", color="burlywood", weight=9]; 716 -> 124[label="",style="solid", color="burlywood", weight=3]; 92[label="LT == LT",fontsize=16,color="black",shape="box"];92 -> 125[label="",style="solid", color="black", weight=3]; 93[label="LT == EQ",fontsize=16,color="black",shape="box"];93 -> 126[label="",style="solid", color="black", weight=3]; 94[label="LT == GT",fontsize=16,color="black",shape="box"];94 -> 127[label="",style="solid", color="black", weight=3]; 95[label="EQ == LT",fontsize=16,color="black",shape="box"];95 -> 128[label="",style="solid", color="black", weight=3]; 96[label="EQ == EQ",fontsize=16,color="black",shape="box"];96 -> 129[label="",style="solid", color="black", weight=3]; 97[label="EQ == GT",fontsize=16,color="black",shape="box"];97 -> 130[label="",style="solid", color="black", weight=3]; 98[label="GT == LT",fontsize=16,color="black",shape="box"];98 -> 131[label="",style="solid", color="black", weight=3]; 99[label="GT == EQ",fontsize=16,color="black",shape="box"];99 -> 132[label="",style="solid", color="black", weight=3]; 100[label="GT == GT",fontsize=16,color="black",shape="box"];100 -> 133[label="",style="solid", color="black", weight=3]; 101[label="() == ()",fontsize=16,color="black",shape="box"];101 -> 134[label="",style="solid", color="black", weight=3]; 102[label="primEqFloat (Float xv300 xv301) xv40",fontsize=16,color="burlywood",shape="box"];717[label="xv40/Float xv400 xv401",fontsize=10,color="white",style="solid",shape="box"];102 -> 717[label="",style="solid", color="burlywood", weight=9]; 717 -> 135[label="",style="solid", color="burlywood", weight=3]; 103 -> 200[label="",style="dashed", color="red", weight=0]; 103[label="xv300 == xv400 && xv301 == xv401",fontsize=16,color="magenta"];103 -> 201[label="",style="dashed", color="magenta", weight=3]; 103 -> 202[label="",style="dashed", color="magenta", weight=3]; 104 -> 200[label="",style="dashed", color="red", weight=0]; 104[label="xv300 == xv400 && xv301 == xv401 && xv302 == xv402",fontsize=16,color="magenta"];104 -> 203[label="",style="dashed", color="magenta", weight=3]; 104 -> 204[label="",style="dashed", color="magenta", weight=3]; 105[label="True",fontsize=16,color="green",shape="box"];106[label="False",fontsize=16,color="green",shape="box"];107[label="False",fontsize=16,color="green",shape="box"];108[label="True",fontsize=16,color="green",shape="box"];109 -> 200[label="",style="dashed", color="red", weight=0]; 109[label="xv300 == xv400 && xv301 == xv401",fontsize=16,color="magenta"];109 -> 205[label="",style="dashed", color="magenta", weight=3]; 109 -> 206[label="",style="dashed", color="magenta", weight=3]; 110[label="False",fontsize=16,color="green",shape="box"];111[label="False",fontsize=16,color="green",shape="box"];112[label="True",fontsize=16,color="green",shape="box"];113 -> 200[label="",style="dashed", color="red", weight=0]; 113[label="xv300 == xv400 && xv301 == xv401",fontsize=16,color="magenta"];113 -> 207[label="",style="dashed", color="magenta", weight=3]; 113 -> 208[label="",style="dashed", color="magenta", weight=3]; 114[label="primEqDouble (Double xv300 xv301) (Double xv400 xv401)",fontsize=16,color="black",shape="box"];114 -> 157[label="",style="solid", color="black", weight=3]; 115[label="xv300 == xv400",fontsize=16,color="blue",shape="box"];718[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];115 -> 718[label="",style="solid", color="blue", weight=9]; 718 -> 158[label="",style="solid", color="blue", weight=3]; 719[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];115 -> 719[label="",style="solid", color="blue", weight=9]; 719 -> 159[label="",style="solid", color="blue", weight=3]; 720[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];115 -> 720[label="",style="solid", color="blue", weight=9]; 720 -> 160[label="",style="solid", color="blue", weight=3]; 721[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];115 -> 721[label="",style="solid", color="blue", weight=9]; 721 -> 161[label="",style="solid", color="blue", weight=3]; 722[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];115 -> 722[label="",style="solid", color="blue", weight=9]; 722 -> 162[label="",style="solid", color="blue", weight=3]; 723[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];115 -> 723[label="",style="solid", color="blue", weight=9]; 723 -> 163[label="",style="solid", color="blue", weight=3]; 724[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];115 -> 724[label="",style="solid", color="blue", weight=9]; 724 -> 164[label="",style="solid", color="blue", weight=3]; 725[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];115 -> 725[label="",style="solid", color="blue", weight=9]; 725 -> 165[label="",style="solid", color="blue", weight=3]; 726[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];115 -> 726[label="",style="solid", color="blue", weight=9]; 726 -> 166[label="",style="solid", color="blue", weight=3]; 727[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];115 -> 727[label="",style="solid", color="blue", weight=9]; 727 -> 167[label="",style="solid", color="blue", weight=3]; 728[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];115 -> 728[label="",style="solid", color="blue", weight=9]; 728 -> 168[label="",style="solid", color="blue", weight=3]; 729[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];115 -> 729[label="",style="solid", color="blue", weight=9]; 729 -> 169[label="",style="solid", color="blue", weight=3]; 730[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];115 -> 730[label="",style="solid", color="blue", weight=9]; 730 -> 170[label="",style="solid", color="blue", weight=3]; 731[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];115 -> 731[label="",style="solid", color="blue", weight=9]; 731 -> 171[label="",style="solid", color="blue", weight=3]; 116[label="False",fontsize=16,color="green",shape="box"];117[label="False",fontsize=16,color="green",shape="box"];118[label="xv300 == xv400",fontsize=16,color="blue",shape="box"];732[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];118 -> 732[label="",style="solid", color="blue", weight=9]; 732 -> 172[label="",style="solid", color="blue", weight=3]; 733[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];118 -> 733[label="",style="solid", color="blue", weight=9]; 733 -> 173[label="",style="solid", color="blue", weight=3]; 734[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];118 -> 734[label="",style="solid", color="blue", weight=9]; 734 -> 174[label="",style="solid", color="blue", weight=3]; 735[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];118 -> 735[label="",style="solid", color="blue", weight=9]; 735 -> 175[label="",style="solid", color="blue", weight=3]; 736[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];118 -> 736[label="",style="solid", color="blue", weight=9]; 736 -> 176[label="",style="solid", color="blue", weight=3]; 737[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];118 -> 737[label="",style="solid", color="blue", weight=9]; 737 -> 177[label="",style="solid", color="blue", weight=3]; 738[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];118 -> 738[label="",style="solid", color="blue", weight=9]; 738 -> 178[label="",style="solid", color="blue", weight=3]; 739[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];118 -> 739[label="",style="solid", color="blue", weight=9]; 739 -> 179[label="",style="solid", color="blue", weight=3]; 740[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];118 -> 740[label="",style="solid", color="blue", weight=9]; 740 -> 180[label="",style="solid", color="blue", weight=3]; 741[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];118 -> 741[label="",style="solid", color="blue", weight=9]; 741 -> 181[label="",style="solid", color="blue", weight=3]; 742[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];118 -> 742[label="",style="solid", color="blue", weight=9]; 742 -> 182[label="",style="solid", color="blue", weight=3]; 743[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];118 -> 743[label="",style="solid", color="blue", weight=9]; 743 -> 183[label="",style="solid", color="blue", weight=3]; 744[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];118 -> 744[label="",style="solid", color="blue", weight=9]; 744 -> 184[label="",style="solid", color="blue", weight=3]; 745[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];118 -> 745[label="",style="solid", color="blue", weight=9]; 745 -> 185[label="",style="solid", color="blue", weight=3]; 119 -> 65[label="",style="dashed", color="red", weight=0]; 119[label="primEqInt xv300 xv400",fontsize=16,color="magenta"];119 -> 186[label="",style="dashed", color="magenta", weight=3]; 119 -> 187[label="",style="dashed", color="magenta", weight=3]; 120[label="primEqInt (Pos (Succ xv3000)) xv40",fontsize=16,color="burlywood",shape="box"];746[label="xv40/Pos xv400",fontsize=10,color="white",style="solid",shape="box"];120 -> 746[label="",style="solid", color="burlywood", weight=9]; 746 -> 188[label="",style="solid", color="burlywood", weight=3]; 747[label="xv40/Neg xv400",fontsize=10,color="white",style="solid",shape="box"];120 -> 747[label="",style="solid", color="burlywood", weight=9]; 747 -> 189[label="",style="solid", color="burlywood", weight=3]; 121[label="primEqInt (Pos Zero) xv40",fontsize=16,color="burlywood",shape="box"];748[label="xv40/Pos xv400",fontsize=10,color="white",style="solid",shape="box"];121 -> 748[label="",style="solid", color="burlywood", weight=9]; 748 -> 190[label="",style="solid", color="burlywood", weight=3]; 749[label="xv40/Neg xv400",fontsize=10,color="white",style="solid",shape="box"];121 -> 749[label="",style="solid", color="burlywood", weight=9]; 749 -> 191[label="",style="solid", color="burlywood", weight=3]; 122[label="primEqInt (Neg (Succ xv3000)) xv40",fontsize=16,color="burlywood",shape="box"];750[label="xv40/Pos xv400",fontsize=10,color="white",style="solid",shape="box"];122 -> 750[label="",style="solid", color="burlywood", weight=9]; 750 -> 192[label="",style="solid", color="burlywood", weight=3]; 751[label="xv40/Neg xv400",fontsize=10,color="white",style="solid",shape="box"];122 -> 751[label="",style="solid", color="burlywood", weight=9]; 751 -> 193[label="",style="solid", color="burlywood", weight=3]; 123[label="primEqInt (Neg Zero) xv40",fontsize=16,color="burlywood",shape="box"];752[label="xv40/Pos xv400",fontsize=10,color="white",style="solid",shape="box"];123 -> 752[label="",style="solid", color="burlywood", weight=9]; 752 -> 194[label="",style="solid", color="burlywood", weight=3]; 753[label="xv40/Neg xv400",fontsize=10,color="white",style="solid",shape="box"];123 -> 753[label="",style="solid", color="burlywood", weight=9]; 753 -> 195[label="",style="solid", color="burlywood", weight=3]; 124[label="primEqChar (Char xv300) (Char xv400)",fontsize=16,color="black",shape="box"];124 -> 196[label="",style="solid", color="black", weight=3]; 125[label="True",fontsize=16,color="green",shape="box"];126[label="False",fontsize=16,color="green",shape="box"];127[label="False",fontsize=16,color="green",shape="box"];128[label="False",fontsize=16,color="green",shape="box"];129[label="True",fontsize=16,color="green",shape="box"];130[label="False",fontsize=16,color="green",shape="box"];131[label="False",fontsize=16,color="green",shape="box"];132[label="False",fontsize=16,color="green",shape="box"];133[label="True",fontsize=16,color="green",shape="box"];134[label="True",fontsize=16,color="green",shape="box"];135[label="primEqFloat (Float xv300 xv301) (Float xv400 xv401)",fontsize=16,color="black",shape="box"];135 -> 197[label="",style="solid", color="black", weight=3]; 201[label="xv301 == xv401",fontsize=16,color="blue",shape="box"];754[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];201 -> 754[label="",style="solid", color="blue", weight=9]; 754 -> 213[label="",style="solid", color="blue", weight=3]; 755[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];201 -> 755[label="",style="solid", color="blue", weight=9]; 755 -> 214[label="",style="solid", color="blue", weight=3]; 202[label="xv300 == xv400",fontsize=16,color="blue",shape="box"];756[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];202 -> 756[label="",style="solid", color="blue", weight=9]; 756 -> 215[label="",style="solid", color="blue", weight=3]; 757[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];202 -> 757[label="",style="solid", color="blue", weight=9]; 757 -> 216[label="",style="solid", color="blue", weight=3]; 200[label="xv19 && xv20",fontsize=16,color="burlywood",shape="triangle"];758[label="xv19/False",fontsize=10,color="white",style="solid",shape="box"];200 -> 758[label="",style="solid", color="burlywood", weight=9]; 758 -> 217[label="",style="solid", color="burlywood", weight=3]; 759[label="xv19/True",fontsize=10,color="white",style="solid",shape="box"];200 -> 759[label="",style="solid", color="burlywood", weight=9]; 759 -> 218[label="",style="solid", color="burlywood", weight=3]; 203 -> 200[label="",style="dashed", color="red", weight=0]; 203[label="xv301 == xv401 && xv302 == xv402",fontsize=16,color="magenta"];203 -> 219[label="",style="dashed", color="magenta", weight=3]; 203 -> 220[label="",style="dashed", color="magenta", weight=3]; 204[label="xv300 == xv400",fontsize=16,color="blue",shape="box"];760[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];204 -> 760[label="",style="solid", color="blue", weight=9]; 760 -> 221[label="",style="solid", color="blue", weight=3]; 761[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];204 -> 761[label="",style="solid", color="blue", weight=9]; 761 -> 222[label="",style="solid", color="blue", weight=3]; 762[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];204 -> 762[label="",style="solid", color="blue", weight=9]; 762 -> 223[label="",style="solid", color="blue", weight=3]; 763[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];204 -> 763[label="",style="solid", color="blue", weight=9]; 763 -> 224[label="",style="solid", color="blue", weight=3]; 764[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];204 -> 764[label="",style="solid", color="blue", weight=9]; 764 -> 225[label="",style="solid", color="blue", weight=3]; 765[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];204 -> 765[label="",style="solid", color="blue", weight=9]; 765 -> 226[label="",style="solid", color="blue", weight=3]; 766[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];204 -> 766[label="",style="solid", color="blue", weight=9]; 766 -> 227[label="",style="solid", color="blue", weight=3]; 767[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];204 -> 767[label="",style="solid", color="blue", weight=9]; 767 -> 228[label="",style="solid", color="blue", weight=3]; 768[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];204 -> 768[label="",style="solid", color="blue", weight=9]; 768 -> 229[label="",style="solid", color="blue", weight=3]; 769[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];204 -> 769[label="",style="solid", color="blue", weight=9]; 769 -> 230[label="",style="solid", color="blue", weight=3]; 770[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];204 -> 770[label="",style="solid", color="blue", weight=9]; 770 -> 231[label="",style="solid", color="blue", weight=3]; 771[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];204 -> 771[label="",style="solid", color="blue", weight=9]; 771 -> 232[label="",style="solid", color="blue", weight=3]; 772[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];204 -> 772[label="",style="solid", color="blue", weight=9]; 772 -> 233[label="",style="solid", color="blue", weight=3]; 773[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];204 -> 773[label="",style="solid", color="blue", weight=9]; 773 -> 234[label="",style="solid", color="blue", weight=3]; 205 -> 41[label="",style="dashed", color="red", weight=0]; 205[label="xv301 == xv401",fontsize=16,color="magenta"];205 -> 235[label="",style="dashed", color="magenta", weight=3]; 205 -> 236[label="",style="dashed", color="magenta", weight=3]; 206[label="xv300 == xv400",fontsize=16,color="blue",shape="box"];774[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];206 -> 774[label="",style="solid", color="blue", weight=9]; 774 -> 237[label="",style="solid", color="blue", weight=3]; 775[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];206 -> 775[label="",style="solid", color="blue", weight=9]; 775 -> 238[label="",style="solid", color="blue", weight=3]; 776[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];206 -> 776[label="",style="solid", color="blue", weight=9]; 776 -> 239[label="",style="solid", color="blue", weight=3]; 777[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];206 -> 777[label="",style="solid", color="blue", weight=9]; 777 -> 240[label="",style="solid", color="blue", weight=3]; 778[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];206 -> 778[label="",style="solid", color="blue", weight=9]; 778 -> 241[label="",style="solid", color="blue", weight=3]; 779[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];206 -> 779[label="",style="solid", color="blue", weight=9]; 779 -> 242[label="",style="solid", color="blue", weight=3]; 780[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];206 -> 780[label="",style="solid", color="blue", weight=9]; 780 -> 243[label="",style="solid", color="blue", weight=3]; 781[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];206 -> 781[label="",style="solid", color="blue", weight=9]; 781 -> 244[label="",style="solid", color="blue", weight=3]; 782[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];206 -> 782[label="",style="solid", color="blue", weight=9]; 782 -> 245[label="",style="solid", color="blue", weight=3]; 783[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];206 -> 783[label="",style="solid", color="blue", weight=9]; 783 -> 246[label="",style="solid", color="blue", weight=3]; 784[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];206 -> 784[label="",style="solid", color="blue", weight=9]; 784 -> 247[label="",style="solid", color="blue", weight=3]; 785[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];206 -> 785[label="",style="solid", color="blue", weight=9]; 785 -> 248[label="",style="solid", color="blue", weight=3]; 786[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];206 -> 786[label="",style="solid", color="blue", weight=9]; 786 -> 249[label="",style="solid", color="blue", weight=3]; 787[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];206 -> 787[label="",style="solid", color="blue", weight=9]; 787 -> 250[label="",style="solid", color="blue", weight=3]; 207[label="xv301 == xv401",fontsize=16,color="blue",shape="box"];788[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];207 -> 788[label="",style="solid", color="blue", weight=9]; 788 -> 251[label="",style="solid", color="blue", weight=3]; 789[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];207 -> 789[label="",style="solid", color="blue", weight=9]; 789 -> 252[label="",style="solid", color="blue", weight=3]; 790[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];207 -> 790[label="",style="solid", color="blue", weight=9]; 790 -> 253[label="",style="solid", color="blue", weight=3]; 791[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];207 -> 791[label="",style="solid", color="blue", weight=9]; 791 -> 254[label="",style="solid", color="blue", weight=3]; 792[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];207 -> 792[label="",style="solid", color="blue", weight=9]; 792 -> 255[label="",style="solid", color="blue", weight=3]; 793[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];207 -> 793[label="",style="solid", color="blue", weight=9]; 793 -> 256[label="",style="solid", color="blue", weight=3]; 794[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];207 -> 794[label="",style="solid", color="blue", weight=9]; 794 -> 257[label="",style="solid", color="blue", weight=3]; 795[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];207 -> 795[label="",style="solid", color="blue", weight=9]; 795 -> 258[label="",style="solid", color="blue", weight=3]; 796[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];207 -> 796[label="",style="solid", color="blue", weight=9]; 796 -> 259[label="",style="solid", color="blue", weight=3]; 797[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];207 -> 797[label="",style="solid", color="blue", weight=9]; 797 -> 260[label="",style="solid", color="blue", weight=3]; 798[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];207 -> 798[label="",style="solid", color="blue", weight=9]; 798 -> 261[label="",style="solid", color="blue", weight=3]; 799[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];207 -> 799[label="",style="solid", color="blue", weight=9]; 799 -> 262[label="",style="solid", color="blue", weight=3]; 800[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];207 -> 800[label="",style="solid", color="blue", weight=9]; 800 -> 263[label="",style="solid", color="blue", weight=3]; 801[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];207 -> 801[label="",style="solid", color="blue", weight=9]; 801 -> 264[label="",style="solid", color="blue", weight=3]; 208[label="xv300 == xv400",fontsize=16,color="blue",shape="box"];802[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];208 -> 802[label="",style="solid", color="blue", weight=9]; 802 -> 265[label="",style="solid", color="blue", weight=3]; 803[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];208 -> 803[label="",style="solid", color="blue", weight=9]; 803 -> 266[label="",style="solid", color="blue", weight=3]; 804[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];208 -> 804[label="",style="solid", color="blue", weight=9]; 804 -> 267[label="",style="solid", color="blue", weight=3]; 805[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];208 -> 805[label="",style="solid", color="blue", weight=9]; 805 -> 268[label="",style="solid", color="blue", weight=3]; 806[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];208 -> 806[label="",style="solid", color="blue", weight=9]; 806 -> 269[label="",style="solid", color="blue", weight=3]; 807[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];208 -> 807[label="",style="solid", color="blue", weight=9]; 807 -> 270[label="",style="solid", color="blue", weight=3]; 808[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];208 -> 808[label="",style="solid", color="blue", weight=9]; 808 -> 271[label="",style="solid", color="blue", weight=3]; 809[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];208 -> 809[label="",style="solid", color="blue", weight=9]; 809 -> 272[label="",style="solid", color="blue", weight=3]; 810[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];208 -> 810[label="",style="solid", color="blue", weight=9]; 810 -> 273[label="",style="solid", color="blue", weight=3]; 811[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];208 -> 811[label="",style="solid", color="blue", weight=9]; 811 -> 274[label="",style="solid", color="blue", weight=3]; 812[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];208 -> 812[label="",style="solid", color="blue", weight=9]; 812 -> 275[label="",style="solid", color="blue", weight=3]; 813[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];208 -> 813[label="",style="solid", color="blue", weight=9]; 813 -> 276[label="",style="solid", color="blue", weight=3]; 814[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];208 -> 814[label="",style="solid", color="blue", weight=9]; 814 -> 277[label="",style="solid", color="blue", weight=3]; 815[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];208 -> 815[label="",style="solid", color="blue", weight=9]; 815 -> 278[label="",style="solid", color="blue", weight=3]; 157 -> 47[label="",style="dashed", color="red", weight=0]; 157[label="xv300 * xv401 == xv301 * xv400",fontsize=16,color="magenta"];157 -> 279[label="",style="dashed", color="magenta", weight=3]; 157 -> 280[label="",style="dashed", color="magenta", weight=3]; 158 -> 38[label="",style="dashed", color="red", weight=0]; 158[label="xv300 == xv400",fontsize=16,color="magenta"];158 -> 281[label="",style="dashed", color="magenta", weight=3]; 158 -> 282[label="",style="dashed", color="magenta", weight=3]; 159 -> 39[label="",style="dashed", color="red", weight=0]; 159[label="xv300 == xv400",fontsize=16,color="magenta"];159 -> 283[label="",style="dashed", color="magenta", weight=3]; 159 -> 284[label="",style="dashed", color="magenta", weight=3]; 160 -> 40[label="",style="dashed", color="red", weight=0]; 160[label="xv300 == xv400",fontsize=16,color="magenta"];160 -> 285[label="",style="dashed", color="magenta", weight=3]; 160 -> 286[label="",style="dashed", color="magenta", weight=3]; 161 -> 41[label="",style="dashed", color="red", weight=0]; 161[label="xv300 == xv400",fontsize=16,color="magenta"];161 -> 287[label="",style="dashed", color="magenta", weight=3]; 161 -> 288[label="",style="dashed", color="magenta", weight=3]; 162 -> 42[label="",style="dashed", color="red", weight=0]; 162[label="xv300 == xv400",fontsize=16,color="magenta"];162 -> 289[label="",style="dashed", color="magenta", weight=3]; 162 -> 290[label="",style="dashed", color="magenta", weight=3]; 163 -> 43[label="",style="dashed", color="red", weight=0]; 163[label="xv300 == xv400",fontsize=16,color="magenta"];163 -> 291[label="",style="dashed", color="magenta", weight=3]; 163 -> 292[label="",style="dashed", color="magenta", weight=3]; 164 -> 19[label="",style="dashed", color="red", weight=0]; 164[label="xv300 == xv400",fontsize=16,color="magenta"];164 -> 293[label="",style="dashed", color="magenta", weight=3]; 164 -> 294[label="",style="dashed", color="magenta", weight=3]; 165 -> 45[label="",style="dashed", color="red", weight=0]; 165[label="xv300 == xv400",fontsize=16,color="magenta"];165 -> 295[label="",style="dashed", color="magenta", weight=3]; 165 -> 296[label="",style="dashed", color="magenta", weight=3]; 166 -> 46[label="",style="dashed", color="red", weight=0]; 166[label="xv300 == xv400",fontsize=16,color="magenta"];166 -> 297[label="",style="dashed", color="magenta", weight=3]; 166 -> 298[label="",style="dashed", color="magenta", weight=3]; 167 -> 47[label="",style="dashed", color="red", weight=0]; 167[label="xv300 == xv400",fontsize=16,color="magenta"];167 -> 299[label="",style="dashed", color="magenta", weight=3]; 167 -> 300[label="",style="dashed", color="magenta", weight=3]; 168 -> 48[label="",style="dashed", color="red", weight=0]; 168[label="xv300 == xv400",fontsize=16,color="magenta"];168 -> 301[label="",style="dashed", color="magenta", weight=3]; 168 -> 302[label="",style="dashed", color="magenta", weight=3]; 169 -> 49[label="",style="dashed", color="red", weight=0]; 169[label="xv300 == xv400",fontsize=16,color="magenta"];169 -> 303[label="",style="dashed", color="magenta", weight=3]; 169 -> 304[label="",style="dashed", color="magenta", weight=3]; 170 -> 50[label="",style="dashed", color="red", weight=0]; 170[label="xv300 == xv400",fontsize=16,color="magenta"];170 -> 305[label="",style="dashed", color="magenta", weight=3]; 170 -> 306[label="",style="dashed", color="magenta", weight=3]; 171 -> 51[label="",style="dashed", color="red", weight=0]; 171[label="xv300 == xv400",fontsize=16,color="magenta"];171 -> 307[label="",style="dashed", color="magenta", weight=3]; 171 -> 308[label="",style="dashed", color="magenta", weight=3]; 172 -> 38[label="",style="dashed", color="red", weight=0]; 172[label="xv300 == xv400",fontsize=16,color="magenta"];172 -> 309[label="",style="dashed", color="magenta", weight=3]; 172 -> 310[label="",style="dashed", color="magenta", weight=3]; 173 -> 39[label="",style="dashed", color="red", weight=0]; 173[label="xv300 == xv400",fontsize=16,color="magenta"];173 -> 311[label="",style="dashed", color="magenta", weight=3]; 173 -> 312[label="",style="dashed", color="magenta", weight=3]; 174 -> 40[label="",style="dashed", color="red", weight=0]; 174[label="xv300 == xv400",fontsize=16,color="magenta"];174 -> 313[label="",style="dashed", color="magenta", weight=3]; 174 -> 314[label="",style="dashed", color="magenta", weight=3]; 175 -> 41[label="",style="dashed", color="red", weight=0]; 175[label="xv300 == xv400",fontsize=16,color="magenta"];175 -> 315[label="",style="dashed", color="magenta", weight=3]; 175 -> 316[label="",style="dashed", color="magenta", weight=3]; 176 -> 42[label="",style="dashed", color="red", weight=0]; 176[label="xv300 == xv400",fontsize=16,color="magenta"];176 -> 317[label="",style="dashed", color="magenta", weight=3]; 176 -> 318[label="",style="dashed", color="magenta", weight=3]; 177 -> 43[label="",style="dashed", color="red", weight=0]; 177[label="xv300 == xv400",fontsize=16,color="magenta"];177 -> 319[label="",style="dashed", color="magenta", weight=3]; 177 -> 320[label="",style="dashed", color="magenta", weight=3]; 178 -> 19[label="",style="dashed", color="red", weight=0]; 178[label="xv300 == xv400",fontsize=16,color="magenta"];178 -> 321[label="",style="dashed", color="magenta", weight=3]; 178 -> 322[label="",style="dashed", color="magenta", weight=3]; 179 -> 45[label="",style="dashed", color="red", weight=0]; 179[label="xv300 == xv400",fontsize=16,color="magenta"];179 -> 323[label="",style="dashed", color="magenta", weight=3]; 179 -> 324[label="",style="dashed", color="magenta", weight=3]; 180 -> 46[label="",style="dashed", color="red", weight=0]; 180[label="xv300 == xv400",fontsize=16,color="magenta"];180 -> 325[label="",style="dashed", color="magenta", weight=3]; 180 -> 326[label="",style="dashed", color="magenta", weight=3]; 181 -> 47[label="",style="dashed", color="red", weight=0]; 181[label="xv300 == xv400",fontsize=16,color="magenta"];181 -> 327[label="",style="dashed", color="magenta", weight=3]; 181 -> 328[label="",style="dashed", color="magenta", weight=3]; 182 -> 48[label="",style="dashed", color="red", weight=0]; 182[label="xv300 == xv400",fontsize=16,color="magenta"];182 -> 329[label="",style="dashed", color="magenta", weight=3]; 182 -> 330[label="",style="dashed", color="magenta", weight=3]; 183 -> 49[label="",style="dashed", color="red", weight=0]; 183[label="xv300 == xv400",fontsize=16,color="magenta"];183 -> 331[label="",style="dashed", color="magenta", weight=3]; 183 -> 332[label="",style="dashed", color="magenta", weight=3]; 184 -> 50[label="",style="dashed", color="red", weight=0]; 184[label="xv300 == xv400",fontsize=16,color="magenta"];184 -> 333[label="",style="dashed", color="magenta", weight=3]; 184 -> 334[label="",style="dashed", color="magenta", weight=3]; 185 -> 51[label="",style="dashed", color="red", weight=0]; 185[label="xv300 == xv400",fontsize=16,color="magenta"];185 -> 335[label="",style="dashed", color="magenta", weight=3]; 185 -> 336[label="",style="dashed", color="magenta", weight=3]; 186[label="xv400",fontsize=16,color="green",shape="box"];187[label="xv300",fontsize=16,color="green",shape="box"];188[label="primEqInt (Pos (Succ xv3000)) (Pos xv400)",fontsize=16,color="burlywood",shape="box"];816[label="xv400/Succ xv4000",fontsize=10,color="white",style="solid",shape="box"];188 -> 816[label="",style="solid", color="burlywood", weight=9]; 816 -> 337[label="",style="solid", color="burlywood", weight=3]; 817[label="xv400/Zero",fontsize=10,color="white",style="solid",shape="box"];188 -> 817[label="",style="solid", color="burlywood", weight=9]; 817 -> 338[label="",style="solid", color="burlywood", weight=3]; 189[label="primEqInt (Pos (Succ xv3000)) (Neg xv400)",fontsize=16,color="black",shape="box"];189 -> 339[label="",style="solid", color="black", weight=3]; 190[label="primEqInt (Pos Zero) (Pos xv400)",fontsize=16,color="burlywood",shape="box"];818[label="xv400/Succ xv4000",fontsize=10,color="white",style="solid",shape="box"];190 -> 818[label="",style="solid", color="burlywood", weight=9]; 818 -> 340[label="",style="solid", color="burlywood", weight=3]; 819[label="xv400/Zero",fontsize=10,color="white",style="solid",shape="box"];190 -> 819[label="",style="solid", color="burlywood", weight=9]; 819 -> 341[label="",style="solid", color="burlywood", weight=3]; 191[label="primEqInt (Pos Zero) (Neg xv400)",fontsize=16,color="burlywood",shape="box"];820[label="xv400/Succ xv4000",fontsize=10,color="white",style="solid",shape="box"];191 -> 820[label="",style="solid", color="burlywood", weight=9]; 820 -> 342[label="",style="solid", color="burlywood", weight=3]; 821[label="xv400/Zero",fontsize=10,color="white",style="solid",shape="box"];191 -> 821[label="",style="solid", color="burlywood", weight=9]; 821 -> 343[label="",style="solid", color="burlywood", weight=3]; 192[label="primEqInt (Neg (Succ xv3000)) (Pos xv400)",fontsize=16,color="black",shape="box"];192 -> 344[label="",style="solid", color="black", weight=3]; 193[label="primEqInt (Neg (Succ xv3000)) (Neg xv400)",fontsize=16,color="burlywood",shape="box"];822[label="xv400/Succ xv4000",fontsize=10,color="white",style="solid",shape="box"];193 -> 822[label="",style="solid", color="burlywood", weight=9]; 822 -> 345[label="",style="solid", color="burlywood", weight=3]; 823[label="xv400/Zero",fontsize=10,color="white",style="solid",shape="box"];193 -> 823[label="",style="solid", color="burlywood", weight=9]; 823 -> 346[label="",style="solid", color="burlywood", weight=3]; 194[label="primEqInt (Neg Zero) (Pos xv400)",fontsize=16,color="burlywood",shape="box"];824[label="xv400/Succ xv4000",fontsize=10,color="white",style="solid",shape="box"];194 -> 824[label="",style="solid", color="burlywood", weight=9]; 824 -> 347[label="",style="solid", color="burlywood", weight=3]; 825[label="xv400/Zero",fontsize=10,color="white",style="solid",shape="box"];194 -> 825[label="",style="solid", color="burlywood", weight=9]; 825 -> 348[label="",style="solid", color="burlywood", weight=3]; 195[label="primEqInt (Neg Zero) (Neg xv400)",fontsize=16,color="burlywood",shape="box"];826[label="xv400/Succ xv4000",fontsize=10,color="white",style="solid",shape="box"];195 -> 826[label="",style="solid", color="burlywood", weight=9]; 826 -> 349[label="",style="solid", color="burlywood", weight=3]; 827[label="xv400/Zero",fontsize=10,color="white",style="solid",shape="box"];195 -> 827[label="",style="solid", color="burlywood", weight=9]; 827 -> 350[label="",style="solid", color="burlywood", weight=3]; 196[label="primEqNat xv300 xv400",fontsize=16,color="burlywood",shape="triangle"];828[label="xv300/Succ xv3000",fontsize=10,color="white",style="solid",shape="box"];196 -> 828[label="",style="solid", color="burlywood", weight=9]; 828 -> 351[label="",style="solid", color="burlywood", weight=3]; 829[label="xv300/Zero",fontsize=10,color="white",style="solid",shape="box"];196 -> 829[label="",style="solid", color="burlywood", weight=9]; 829 -> 352[label="",style="solid", color="burlywood", weight=3]; 197 -> 47[label="",style="dashed", color="red", weight=0]; 197[label="xv300 * xv401 == xv301 * xv400",fontsize=16,color="magenta"];197 -> 353[label="",style="dashed", color="magenta", weight=3]; 197 -> 354[label="",style="dashed", color="magenta", weight=3]; 213 -> 46[label="",style="dashed", color="red", weight=0]; 213[label="xv301 == xv401",fontsize=16,color="magenta"];213 -> 355[label="",style="dashed", color="magenta", weight=3]; 213 -> 356[label="",style="dashed", color="magenta", weight=3]; 214 -> 47[label="",style="dashed", color="red", weight=0]; 214[label="xv301 == xv401",fontsize=16,color="magenta"];214 -> 357[label="",style="dashed", color="magenta", weight=3]; 214 -> 358[label="",style="dashed", color="magenta", weight=3]; 215 -> 46[label="",style="dashed", color="red", weight=0]; 215[label="xv300 == xv400",fontsize=16,color="magenta"];215 -> 359[label="",style="dashed", color="magenta", weight=3]; 215 -> 360[label="",style="dashed", color="magenta", weight=3]; 216 -> 47[label="",style="dashed", color="red", weight=0]; 216[label="xv300 == xv400",fontsize=16,color="magenta"];216 -> 361[label="",style="dashed", color="magenta", weight=3]; 216 -> 362[label="",style="dashed", color="magenta", weight=3]; 217[label="False && xv20",fontsize=16,color="black",shape="box"];217 -> 363[label="",style="solid", color="black", weight=3]; 218[label="True && xv20",fontsize=16,color="black",shape="box"];218 -> 364[label="",style="solid", color="black", weight=3]; 219[label="xv302 == xv402",fontsize=16,color="blue",shape="box"];830[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];219 -> 830[label="",style="solid", color="blue", weight=9]; 830 -> 365[label="",style="solid", color="blue", weight=3]; 831[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];219 -> 831[label="",style="solid", color="blue", weight=9]; 831 -> 366[label="",style="solid", color="blue", weight=3]; 832[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];219 -> 832[label="",style="solid", color="blue", weight=9]; 832 -> 367[label="",style="solid", color="blue", weight=3]; 833[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];219 -> 833[label="",style="solid", color="blue", weight=9]; 833 -> 368[label="",style="solid", color="blue", weight=3]; 834[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];219 -> 834[label="",style="solid", color="blue", weight=9]; 834 -> 369[label="",style="solid", color="blue", weight=3]; 835[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];219 -> 835[label="",style="solid", color="blue", weight=9]; 835 -> 370[label="",style="solid", color="blue", weight=3]; 836[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];219 -> 836[label="",style="solid", color="blue", weight=9]; 836 -> 371[label="",style="solid", color="blue", weight=3]; 837[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];219 -> 837[label="",style="solid", color="blue", 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412[label="",style="dashed", color="magenta", weight=3]; 231 -> 48[label="",style="dashed", color="red", weight=0]; 231[label="xv300 == xv400",fontsize=16,color="magenta"];231 -> 413[label="",style="dashed", color="magenta", weight=3]; 231 -> 414[label="",style="dashed", color="magenta", weight=3]; 232 -> 49[label="",style="dashed", color="red", weight=0]; 232[label="xv300 == xv400",fontsize=16,color="magenta"];232 -> 415[label="",style="dashed", color="magenta", weight=3]; 232 -> 416[label="",style="dashed", color="magenta", weight=3]; 233 -> 50[label="",style="dashed", color="red", weight=0]; 233[label="xv300 == xv400",fontsize=16,color="magenta"];233 -> 417[label="",style="dashed", color="magenta", weight=3]; 233 -> 418[label="",style="dashed", color="magenta", weight=3]; 234 -> 51[label="",style="dashed", color="red", weight=0]; 234[label="xv300 == xv400",fontsize=16,color="magenta"];234 -> 419[label="",style="dashed", color="magenta", weight=3]; 234 -> 420[label="",style="dashed", 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427[label="",style="dashed", color="magenta", weight=3]; 240 -> 428[label="",style="dashed", color="magenta", weight=3]; 241 -> 42[label="",style="dashed", color="red", weight=0]; 241[label="xv300 == xv400",fontsize=16,color="magenta"];241 -> 429[label="",style="dashed", color="magenta", weight=3]; 241 -> 430[label="",style="dashed", color="magenta", weight=3]; 242 -> 43[label="",style="dashed", color="red", weight=0]; 242[label="xv300 == xv400",fontsize=16,color="magenta"];242 -> 431[label="",style="dashed", color="magenta", weight=3]; 242 -> 432[label="",style="dashed", color="magenta", weight=3]; 243 -> 19[label="",style="dashed", color="red", weight=0]; 243[label="xv300 == xv400",fontsize=16,color="magenta"];243 -> 433[label="",style="dashed", color="magenta", weight=3]; 243 -> 434[label="",style="dashed", color="magenta", weight=3]; 244 -> 45[label="",style="dashed", color="red", weight=0]; 244[label="xv300 == xv400",fontsize=16,color="magenta"];244 -> 435[label="",style="dashed", 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452[label="",style="dashed", color="magenta", weight=3]; 253 -> 40[label="",style="dashed", color="red", weight=0]; 253[label="xv301 == xv401",fontsize=16,color="magenta"];253 -> 453[label="",style="dashed", color="magenta", weight=3]; 253 -> 454[label="",style="dashed", color="magenta", weight=3]; 254 -> 41[label="",style="dashed", color="red", weight=0]; 254[label="xv301 == xv401",fontsize=16,color="magenta"];254 -> 455[label="",style="dashed", color="magenta", weight=3]; 254 -> 456[label="",style="dashed", color="magenta", weight=3]; 255 -> 42[label="",style="dashed", color="red", weight=0]; 255[label="xv301 == xv401",fontsize=16,color="magenta"];255 -> 457[label="",style="dashed", color="magenta", weight=3]; 255 -> 458[label="",style="dashed", color="magenta", weight=3]; 256 -> 43[label="",style="dashed", color="red", weight=0]; 256[label="xv301 == xv401",fontsize=16,color="magenta"];256 -> 459[label="",style="dashed", color="magenta", weight=3]; 256 -> 460[label="",style="dashed", 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38[label="",style="dashed", color="red", weight=0]; 265[label="xv300 == xv400",fontsize=16,color="magenta"];265 -> 477[label="",style="dashed", color="magenta", weight=3]; 265 -> 478[label="",style="dashed", color="magenta", weight=3]; 266 -> 39[label="",style="dashed", color="red", weight=0]; 266[label="xv300 == xv400",fontsize=16,color="magenta"];266 -> 479[label="",style="dashed", color="magenta", weight=3]; 266 -> 480[label="",style="dashed", color="magenta", weight=3]; 267 -> 40[label="",style="dashed", color="red", weight=0]; 267[label="xv300 == xv400",fontsize=16,color="magenta"];267 -> 481[label="",style="dashed", color="magenta", weight=3]; 267 -> 482[label="",style="dashed", color="magenta", weight=3]; 268 -> 41[label="",style="dashed", color="red", weight=0]; 268[label="xv300 == xv400",fontsize=16,color="magenta"];268 -> 483[label="",style="dashed", color="magenta", weight=3]; 268 -> 484[label="",style="dashed", color="magenta", weight=3]; 269 -> 42[label="",style="dashed", 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273[label="xv300 == xv400",fontsize=16,color="magenta"];273 -> 493[label="",style="dashed", color="magenta", weight=3]; 273 -> 494[label="",style="dashed", color="magenta", weight=3]; 274 -> 47[label="",style="dashed", color="red", weight=0]; 274[label="xv300 == xv400",fontsize=16,color="magenta"];274 -> 495[label="",style="dashed", color="magenta", weight=3]; 274 -> 496[label="",style="dashed", color="magenta", weight=3]; 275 -> 48[label="",style="dashed", color="red", weight=0]; 275[label="xv300 == xv400",fontsize=16,color="magenta"];275 -> 497[label="",style="dashed", color="magenta", weight=3]; 275 -> 498[label="",style="dashed", color="magenta", weight=3]; 276 -> 49[label="",style="dashed", color="red", weight=0]; 276[label="xv300 == xv400",fontsize=16,color="magenta"];276 -> 499[label="",style="dashed", color="magenta", weight=3]; 276 -> 500[label="",style="dashed", color="magenta", weight=3]; 277 -> 50[label="",style="dashed", color="red", weight=0]; 277[label="xv300 == 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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="xv300",fontsize=16,color="green",shape="box"];291[label="xv400",fontsize=16,color="green",shape="box"];292[label="xv300",fontsize=16,color="green",shape="box"];293[label="xv400",fontsize=16,color="green",shape="box"];294[label="xv300",fontsize=16,color="green",shape="box"];295[label="xv400",fontsize=16,color="green",shape="box"];296[label="xv300",fontsize=16,color="green",shape="box"];297[label="xv400",fontsize=16,color="green",shape="box"];298[label="xv300",fontsize=16,color="green",shape="box"];299[label="xv400",fontsize=16,color="green",shape="box"];300[label="xv300",fontsize=16,color="green",shape="box"];301[label="xv400",fontsize=16,color="green",shape="box"];302[label="xv300",fontsize=16,color="green",shape="box"];303[label="xv400",fontsize=16,color="green",shape="box"];304[label="xv300",fontsize=16,color="green",shape="box"];305[label="xv400",fontsize=16,color="green",shape="box"];306[label="xv300",fontsize=16,color="green",shape="box"];307[label="xv400",fontsize=16,color="green",shape="box"];308[label="xv300",fontsize=16,color="green",shape="box"];309[label="xv400",fontsize=16,color="green",shape="box"];310[label="xv300",fontsize=16,color="green",shape="box"];311[label="xv400",fontsize=16,color="green",shape="box"];312[label="xv300",fontsize=16,color="green",shape="box"];313[label="xv400",fontsize=16,color="green",shape="box"];314[label="xv300",fontsize=16,color="green",shape="box"];315[label="xv400",fontsize=16,color="green",shape="box"];316[label="xv300",fontsize=16,color="green",shape="box"];317[label="xv400",fontsize=16,color="green",shape="box"];318[label="xv300",fontsize=16,color="green",shape="box"];319[label="xv400",fontsize=16,color="green",shape="box"];320[label="xv300",fontsize=16,color="green",shape="box"];321[label="xv400",fontsize=16,color="green",shape="box"];322[label="xv300",fontsize=16,color="green",shape="box"];323[label="xv400",fontsize=16,color="green",shape="box"];324[label="xv300",fontsize=16,color="green",shape="box"];325[label="xv400",fontsize=16,color="green",shape="box"];326[label="xv300",fontsize=16,color="green",shape="box"];327[label="xv400",fontsize=16,color="green",shape="box"];328[label="xv300",fontsize=16,color="green",shape="box"];329[label="xv400",fontsize=16,color="green",shape="box"];330[label="xv300",fontsize=16,color="green",shape="box"];331[label="xv400",fontsize=16,color="green",shape="box"];332[label="xv300",fontsize=16,color="green",shape="box"];333[label="xv400",fontsize=16,color="green",shape="box"];334[label="xv300",fontsize=16,color="green",shape="box"];335[label="xv400",fontsize=16,color="green",shape="box"];336[label="xv300",fontsize=16,color="green",shape="box"];337[label="primEqInt 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393[label="xv400",fontsize=16,color="green",shape="box"];394[label="xv300",fontsize=16,color="green",shape="box"];395[label="xv400",fontsize=16,color="green",shape="box"];396[label="xv300",fontsize=16,color="green",shape="box"];397[label="xv400",fontsize=16,color="green",shape="box"];398[label="xv300",fontsize=16,color="green",shape="box"];399[label="xv400",fontsize=16,color="green",shape="box"];400[label="xv300",fontsize=16,color="green",shape="box"];401[label="xv400",fontsize=16,color="green",shape="box"];402[label="xv300",fontsize=16,color="green",shape="box"];403[label="xv400",fontsize=16,color="green",shape="box"];404[label="xv300",fontsize=16,color="green",shape="box"];405[label="xv400",fontsize=16,color="green",shape="box"];406[label="xv300",fontsize=16,color="green",shape="box"];407[label="xv400",fontsize=16,color="green",shape="box"];408[label="xv300",fontsize=16,color="green",shape="box"];409[label="xv400",fontsize=16,color="green",shape="box"];410[label="xv300",fontsize=16,color="green",shape="box"];411[label="xv400",fontsize=16,color="green",shape="box"];412[label="xv300",fontsize=16,color="green",shape="box"];413[label="xv400",fontsize=16,color="green",shape="box"];414[label="xv300",fontsize=16,color="green",shape="box"];415[label="xv400",fontsize=16,color="green",shape="box"];416[label="xv300",fontsize=16,color="green",shape="box"];417[label="xv400",fontsize=16,color="green",shape="box"];418[label="xv300",fontsize=16,color="green",shape="box"];419[label="xv400",fontsize=16,color="green",shape="box"];420[label="xv300",fontsize=16,color="green",shape="box"];421[label="xv400",fontsize=16,color="green",shape="box"];422[label="xv300",fontsize=16,color="green",shape="box"];423[label="xv400",fontsize=16,color="green",shape="box"];424[label="xv300",fontsize=16,color="green",shape="box"];425[label="xv400",fontsize=16,color="green",shape="box"];426[label="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="xv300",fontsize=16,color="green",shape="box"];449[label="xv401",fontsize=16,color="green",shape="box"];450[label="xv301",fontsize=16,color="green",shape="box"];451[label="xv401",fontsize=16,color="green",shape="box"];452[label="xv301",fontsize=16,color="green",shape="box"];453[label="xv401",fontsize=16,color="green",shape="box"];454[label="xv301",fontsize=16,color="green",shape="box"];455[label="xv401",fontsize=16,color="green",shape="box"];456[label="xv301",fontsize=16,color="green",shape="box"];457[label="xv401",fontsize=16,color="green",shape="box"];458[label="xv301",fontsize=16,color="green",shape="box"];459[label="xv401",fontsize=16,color="green",shape="box"];460[label="xv301",fontsize=16,color="green",shape="box"];461[label="xv401",fontsize=16,color="green",shape="box"];462[label="xv301",fontsize=16,color="green",shape="box"];463[label="xv401",fontsize=16,color="green",shape="box"];464[label="xv301",fontsize=16,color="green",shape="box"];465[label="xv401",fontsize=16,color="green",shape="box"];466[label="xv301",fontsize=16,color="green",shape="box"];467[label="xv401",fontsize=16,color="green",shape="box"];468[label="xv301",fontsize=16,color="green",shape="box"];469[label="xv401",fontsize=16,color="green",shape="box"];470[label="xv301",fontsize=16,color="green",shape="box"];471[label="xv401",fontsize=16,color="green",shape="box"];472[label="xv301",fontsize=16,color="green",shape="box"];473[label="xv401",fontsize=16,color="green",shape="box"];474[label="xv301",fontsize=16,color="green",shape="box"];475[label="xv401",fontsize=16,color="green",shape="box"];476[label="xv301",fontsize=16,color="green",shape="box"];477[label="xv400",fontsize=16,color="green",shape="box"];478[label="xv300",fontsize=16,color="green",shape="box"];479[label="xv400",fontsize=16,color="green",shape="box"];480[label="xv300",fontsize=16,color="gree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xv301 xv400",fontsize=16,color="burlywood",shape="box"];862[label="xv301/Pos xv3010",fontsize=10,color="white",style="solid",shape="box"];505 -> 862[label="",style="solid", color="burlywood", weight=9]; 862 -> 584[label="",style="solid", color="burlywood", weight=3]; 863[label="xv301/Neg xv3010",fontsize=10,color="white",style="solid",shape="box"];505 -> 863[label="",style="solid", color="burlywood", weight=9]; 863 -> 585[label="",style="solid", color="burlywood", weight=3]; 506[label="xv401",fontsize=16,color="green",shape="box"];507[label="xv300",fontsize=16,color="green",shape="box"];508 -> 196[label="",style="dashed", color="red", weight=0]; 508[label="primEqNat xv3000 xv4000",fontsize=16,color="magenta"];508 -> 586[label="",style="dashed", color="magenta", weight=3]; 508 -> 587[label="",style="dashed", color="magenta", weight=3]; 509[label="False",fontsize=16,color="green",shape="box"];510[label="False",fontsize=16,color="green",shape="box"];511[label="True",fontsize=16,color="green",shape="box"];512[label="False",fontsize=16,color="green",shape="box"];513[label="True",fontsize=16,color="green",shape="box"];514 -> 196[label="",style="dashed", color="red", weight=0]; 514[label="primEqNat xv3000 xv4000",fontsize=16,color="magenta"];514 -> 588[label="",style="dashed", color="magenta", weight=3]; 514 -> 589[label="",style="dashed", color="magenta", weight=3]; 515[label="False",fontsize=16,color="green",shape="box"];516[label="False",fontsize=16,color="green",shape="box"];517[label="True",fontsize=16,color="green",shape="box"];518[label="False",fontsize=16,color="green",shape="box"];519[label="True",fontsize=16,color="green",shape="box"];520[label="primEqNat (Succ xv3000) (Succ xv4000)",fontsize=16,color="black",shape="box"];520 -> 590[label="",style="solid", color="black", weight=3]; 521[label="primEqNat (Succ xv3000) Zero",fontsize=16,color="black",shape="box"];521 -> 591[label="",style="solid", color="black", weight=3]; 522[label="primEqNat Zero (Succ xv4000)",fontsize=16,color="black",shape="box"];522 -> 592[label="",style="solid", color="black", weight=3]; 523[label="primEqNat Zero Zero",fontsize=16,color="black",shape="box"];523 -> 593[label="",style="solid", color="black", weight=3]; 524[label="xv400",fontsize=16,color="green",shape="box"];525[label="xv301",fontsize=16,color="green",shape="box"];526[label="xv401",fontsize=16,color="green",shape="box"];527[label="xv300",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="xv302",fontsize=16,color="green",shape="box"];544[label="xv402",fontsize=16,color="green",shape="box"];545[label="xv302",fontsize=16,color="green",shape="box"];546[label="xv402",fontsize=16,color="green",shape="box"];547[label="xv302",fontsize=16,color="green",shape="box"];548[label="xv402",fontsize=16,color="green",shape="box"];549[label="xv302",fontsize=16,color="green",shape="box"];550[label="xv402",fontsize=16,color="green",shape="box"];551[label="xv302",fontsize=16,color="green",shape="box"];552[label="xv402",fontsize=16,color="green",shape="box"];553[label="xv302",fontsize=16,color="green",shape="box"];554[label="xv402",fontsize=16,color="green",shape="box"];555[label="xv302",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="xv301",fontsize=16,color="green",shape="box"];572[label="xv401",fontsize=16,color="green",shape="box"];573[label="xv301",fontsize=16,color="green",shape="box"];574[label="xv401",fontsize=16,color="green",shape="box"];575[label="xv301",fontsize=16,color="green",shape="box"];576[label="xv401",fontsize=16,color="green",shape="box"];577[label="xv301",fontsize=16,color="green",shape="box"];578[label="xv401",fontsize=16,color="green",shape="box"];579[label="xv301",fontsize=16,color="green",shape="box"];580[label="xv401",fontsize=16,color="green",shape="box"];581[label="xv301",fontsize=16,color="green",shape="box"];582[label="xv401",fontsize=16,color="green",shape="box"];583[label="xv301",fontsize=16,color="green",shape="box"];584[label="primMulInt (Pos xv3010) xv400",fontsize=16,color="burlywood",shape="box"];864[label="xv400/Pos xv4000",fontsize=10,color="white",style="solid",shape="box"];584 -> 864[label="",style="solid", color="burlywood", weight=9]; 864 -> 594[label="",style="solid", color="burlywood", weight=3]; 865[label="xv400/Neg xv4000",fontsize=10,color="white",style="solid",shape="box"];584 -> 865[label="",style="solid", color="burlywood", weight=9]; 865 -> 595[label="",style="solid", color="burlywood", weight=3]; 585[label="primMulInt (Neg xv3010) xv400",fontsize=16,color="burlywood",shape="box"];866[label="xv400/Pos xv4000",fontsize=10,color="white",style="solid",shape="box"];585 -> 866[label="",style="solid", color="burlywood", weight=9]; 866 -> 596[label="",style="solid", color="burlywood", weight=3]; 867[label="xv400/Neg xv4000",fontsize=10,color="white",style="solid",shape="box"];585 -> 867[label="",style="solid", color="burlywood", weight=9]; 867 -> 597[label="",style="solid", color="burlywood", weight=3]; 586[label="xv4000",fontsize=16,color="green",shape="box"];587[label="xv3000",fontsize=16,color="green",shape="box"];588[label="xv4000",fontsize=16,color="green",shape="box"];589[label="xv3000",fontsize=16,color="green",shape="box"];590 -> 196[label="",style="dashed", color="red", weight=0]; 590[label="primEqNat xv3000 xv4000",fontsize=16,color="magenta"];590 -> 598[label="",style="dashed", color="magenta", weight=3]; 590 -> 599[label="",style="dashed", color="magenta", weight=3]; 591[label="False",fontsize=16,color="green",shape="box"];592[label="False",fontsize=16,color="green",shape="box"];593[label="True",fontsize=16,color="green",shape="box"];594[label="primMulInt (Pos xv3010) (Pos xv4000)",fontsize=16,color="black",shape="box"];594 -> 600[label="",style="solid", color="black", weight=3]; 595[label="primMulInt (Pos xv3010) (Neg xv4000)",fontsize=16,color="black",shape="box"];595 -> 601[label="",style="solid", color="black", weight=3]; 596[label="primMulInt (Neg xv3010) (Pos xv4000)",fontsize=16,color="black",shape="box"];596 -> 602[label="",style="solid", color="black", weight=3]; 597[label="primMulInt (Neg xv3010) (Neg xv4000)",fontsize=16,color="black",shape="box"];597 -> 603[label="",style="solid", color="black", weight=3]; 598[label="xv4000",fontsize=16,color="green",shape="box"];599[label="xv3000",fontsize=16,color="green",shape="box"];600[label="Pos (primMulNat xv3010 xv4000)",fontsize=16,color="green",shape="box"];600 -> 604[label="",style="dashed", color="green", weight=3]; 601[label="Neg (primMulNat xv3010 xv4000)",fontsize=16,color="green",shape="box"];601 -> 605[label="",style="dashed", color="green", weight=3]; 602[label="Neg (primMulNat xv3010 xv4000)",fontsize=16,color="green",shape="box"];602 -> 606[label="",style="dashed", color="green", weight=3]; 603[label="Pos (primMulNat xv3010 xv4000)",fontsize=16,color="green",shape="box"];603 -> 607[label="",style="dashed", color="green", weight=3]; 604[label="primMulNat xv3010 xv4000",fontsize=16,color="burlywood",shape="triangle"];868[label="xv3010/Succ xv30100",fontsize=10,color="white",style="solid",shape="box"];604 -> 868[label="",style="solid", color="burlywood", weight=9]; 868 -> 608[label="",style="solid", color="burlywood", weight=3]; 869[label="xv3010/Zero",fontsize=10,color="white",style="solid",shape="box"];604 -> 869[label="",style="solid", color="burlywood", weight=9]; 869 -> 609[label="",style="solid", color="burlywood", weight=3]; 605 -> 604[label="",style="dashed", color="red", weight=0]; 605[label="primMulNat xv3010 xv4000",fontsize=16,color="magenta"];605 -> 610[label="",style="dashed", color="magenta", weight=3]; 606 -> 604[label="",style="dashed", color="red", weight=0]; 606[label="primMulNat xv3010 xv4000",fontsize=16,color="magenta"];606 -> 611[label="",style="dashed", color="magenta", weight=3]; 607 -> 604[label="",style="dashed", color="red", weight=0]; 607[label="primMulNat xv3010 xv4000",fontsize=16,color="magenta"];607 -> 612[label="",style="dashed", color="magenta", weight=3]; 607 -> 613[label="",style="dashed", color="magenta", weight=3]; 608[label="primMulNat (Succ xv30100) xv4000",fontsize=16,color="burlywood",shape="box"];870[label="xv4000/Succ xv40000",fontsize=10,color="white",style="solid",shape="box"];608 -> 870[label="",style="solid", color="burlywood", weight=9]; 870 -> 614[label="",style="solid", color="burlywood", weight=3]; 871[label="xv4000/Zero",fontsize=10,color="white",style="solid",shape="box"];608 -> 871[label="",style="solid", color="burlywood", weight=9]; 871 -> 615[label="",style="solid", color="burlywood", weight=3]; 609[label="primMulNat Zero xv4000",fontsize=16,color="burlywood",shape="box"];872[label="xv4000/Succ xv40000",fontsize=10,color="white",style="solid",shape="box"];609 -> 872[label="",style="solid", color="burlywood", weight=9]; 872 -> 616[label="",style="solid", color="burlywood", weight=3]; 873[label="xv4000/Zero",fontsize=10,color="white",style="solid",shape="box"];609 -> 873[label="",style="solid", color="burlywood", weight=9]; 873 -> 617[label="",style="solid", color="burlywood", weight=3]; 610[label="xv4000",fontsize=16,color="green",shape="box"];611[label="xv3010",fontsize=16,color="green",shape="box"];612[label="xv3010",fontsize=16,color="green",shape="box"];613[label="xv4000",fontsize=16,color="green",shape="box"];614[label="primMulNat (Succ xv30100) (Succ xv40000)",fontsize=16,color="black",shape="box"];614 -> 618[label="",style="solid", color="black", weight=3]; 615[label="primMulNat (Succ xv30100) Zero",fontsize=16,color="black",shape="box"];615 -> 619[label="",style="solid", color="black", weight=3]; 616[label="primMulNat Zero (Succ xv40000)",fontsize=16,color="black",shape="box"];616 -> 620[label="",style="solid", color="black", weight=3]; 617[label="primMulNat Zero Zero",fontsize=16,color="black",shape="box"];617 -> 621[label="",style="solid", color="black", weight=3]; 618 -> 622[label="",style="dashed", color="red", weight=0]; 618[label="primPlusNat (primMulNat xv30100 (Succ xv40000)) (Succ xv40000)",fontsize=16,color="magenta"];618 -> 623[label="",style="dashed", color="magenta", weight=3]; 619[label="Zero",fontsize=16,color="green",shape="box"];620[label="Zero",fontsize=16,color="green",shape="box"];621[label="Zero",fontsize=16,color="green",shape="box"];623 -> 604[label="",style="dashed", color="red", weight=0]; 623[label="primMulNat xv30100 (Succ xv40000)",fontsize=16,color="magenta"];623 -> 624[label="",style="dashed", color="magenta", weight=3]; 623 -> 625[label="",style="dashed", color="magenta", weight=3]; 622[label="primPlusNat xv21 (Succ xv40000)",fontsize=16,color="burlywood",shape="triangle"];874[label="xv21/Succ xv210",fontsize=10,color="white",style="solid",shape="box"];622 -> 874[label="",style="solid", color="burlywood", weight=9]; 874 -> 626[label="",style="solid", color="burlywood", weight=3]; 875[label="xv21/Zero",fontsize=10,color="white",style="solid",shape="box"];622 -> 875[label="",style="solid", color="burlywood", weight=9]; 875 -> 627[label="",style="solid", color="burlywood", weight=3]; 624[label="xv30100",fontsize=16,color="green",shape="box"];625[label="Succ xv40000",fontsize=16,color="green",shape="box"];626[label="primPlusNat (Succ xv210) (Succ xv40000)",fontsize=16,color="black",shape="box"];626 -> 628[label="",style="solid", color="black", weight=3]; 627[label="primPlusNat Zero (Succ xv40000)",fontsize=16,color="black",shape="box"];627 -> 629[label="",style="solid", color="black", weight=3]; 628[label="Succ (Succ (primPlusNat xv210 xv40000))",fontsize=16,color="green",shape="box"];628 -> 630[label="",style="dashed", color="green", weight=3]; 629[label="Succ xv40000",fontsize=16,color="green",shape="box"];630[label="primPlusNat xv210 xv40000",fontsize=16,color="burlywood",shape="triangle"];876[label="xv210/Succ xv2100",fontsize=10,color="white",style="solid",shape="box"];630 -> 876[label="",style="solid", color="burlywood", weight=9]; 876 -> 631[label="",style="solid", color="burlywood", weight=3]; 877[label="xv210/Zero",fontsize=10,color="white",style="solid",shape="box"];630 -> 877[label="",style="solid", color="burlywood", weight=9]; 877 -> 632[label="",style="solid", color="burlywood", weight=3]; 631[label="primPlusNat (Succ xv2100) xv40000",fontsize=16,color="burlywood",shape="box"];878[label="xv40000/Succ xv400000",fontsize=10,color="white",style="solid",shape="box"];631 -> 878[label="",style="solid", color="burlywood", weight=9]; 878 -> 633[label="",style="solid", color="burlywood", weight=3]; 879[label="xv40000/Zero",fontsize=10,color="white",style="solid",shape="box"];631 -> 879[label="",style="solid", color="burlywood", weight=9]; 879 -> 634[label="",style="solid", color="burlywood", weight=3]; 632[label="primPlusNat Zero xv40000",fontsize=16,color="burlywood",shape="box"];880[label="xv40000/Succ xv400000",fontsize=10,color="white",style="solid",shape="box"];632 -> 880[label="",style="solid", color="burlywood", weight=9]; 880 -> 635[label="",style="solid", color="burlywood", weight=3]; 881[label="xv40000/Zero",fontsize=10,color="white",style="solid",shape="box"];632 -> 881[label="",style="solid", color="burlywood", weight=9]; 881 -> 636[label="",style="solid", color="burlywood", weight=3]; 633[label="primPlusNat (Succ xv2100) (Succ xv400000)",fontsize=16,color="black",shape="box"];633 -> 637[label="",style="solid", color="black", weight=3]; 634[label="primPlusNat (Succ xv2100) Zero",fontsize=16,color="black",shape="box"];634 -> 638[label="",style="solid", color="black", weight=3]; 635[label="primPlusNat Zero (Succ xv400000)",fontsize=16,color="black",shape="box"];635 -> 639[label="",style="solid", color="black", weight=3]; 636[label="primPlusNat Zero Zero",fontsize=16,color="black",shape="box"];636 -> 640[label="",style="solid", color="black", weight=3]; 637[label="Succ (Succ (primPlusNat xv2100 xv400000))",fontsize=16,color="green",shape="box"];637 -> 641[label="",style="dashed", color="green", weight=3]; 638[label="Succ xv2100",fontsize=16,color="green",shape="box"];639[label="Succ xv400000",fontsize=16,color="green",shape="box"];640[label="Zero",fontsize=16,color="green",shape="box"];641 -> 630[label="",style="dashed", color="red", weight=0]; 641[label="primPlusNat xv2100 xv400000",fontsize=16,color="magenta"];641 -> 642[label="",style="dashed", color="magenta", weight=3]; 641 -> 643[label="",style="dashed", color="magenta", weight=3]; 642[label="xv2100",fontsize=16,color="green",shape="box"];643[label="xv400000",fontsize=16,color="green",shape="box"];} ---------------------------------------- (6) Complex Obligation (AND) ---------------------------------------- (7) Obligation: Q DP problem: The TRS P consists of the following rules: new_esEs1(@2(xv300, xv301), @2(xv400, xv401), gb, app(app(app(ty_@3, gc), gd), ge)) -> new_esEs(xv301, xv401, gc, gd, ge) new_esEs2(Just(:(xv300, xv301)), Just(:(xv400, xv401)), app(ty_[], app(app(app(ty_@3, eh), fa), fb))) -> new_esEs(xv300, xv400, eh, fa, fb) new_esEs2(Just(@3(xv300, xv301, xv302)), Just(@3(xv400, xv401, xv402)), app(app(app(ty_@3, app(app(app(ty_@3, df), dg), dh)), ba), cf)) -> new_esEs(xv300, xv400, df, dg, dh) new_esEs2(Just(@2(xv300, xv301)), Just(@2(xv400, xv401)), app(app(ty_@2, app(app(ty_Either, bad), bae)), hg)) -> new_esEs3(xv300, xv400, bad, bae) new_esEs2(Just(Left(xv300)), Just(Left(xv400)), app(app(ty_Either, app(app(ty_Either, bbg), bbh)), bbb)) -> new_esEs3(xv300, xv400, bbg, bbh) new_esEs3(Left(xv300), Left(xv400), app(app(ty_@2, bbd), bbe), bbb) -> new_esEs1(xv300, xv400, bbd, bbe) new_esEs(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), app(app(ty_Either, ee), ef), ba, cf) -> new_esEs3(xv300, xv400, ee, ef) new_esEs2(Just(@3(xv300, xv301, xv302)), Just(@3(xv400, xv401, xv402)), app(app(app(ty_@3, h), ba), app(app(ty_@2, bf), bg))) -> new_esEs1(xv302, xv402, bf, bg) new_esEs2(Just(@3(xv300, xv301, xv302)), Just(@3(xv400, xv401, xv402)), app(app(app(ty_@3, app(app(ty_Either, ee), ef)), ba), cf)) -> new_esEs3(xv300, xv400, ee, ef) new_esEs0(:(xv300, xv301), :(xv400, xv401), app(ty_[], fc)) -> new_esEs0(xv300, xv400, fc) new_esEs2(Just(:(xv300, xv301)), Just(:(xv400, xv401)), app(ty_[], eg)) -> new_esEs0(xv301, xv401, eg) new_esEs2(Just(Left(xv300)), Just(Left(xv400)), app(app(ty_Either, app(ty_[], bbc)), bbb)) -> new_esEs0(xv300, xv400, bbc) new_esEs2(Just(:(xv300, xv301)), Just(:(xv400, xv401)), app(ty_[], app(app(ty_@2, fd), ff))) -> new_esEs1(xv300, xv400, fd, ff) new_esEs2(Just(@3(xv300, xv301, xv302)), Just(@3(xv400, xv401, xv402)), app(app(app(ty_@3, h), app(app(ty_@2, da), db)), cf)) -> new_esEs1(xv301, xv401, da, db) new_esEs3(Right(xv300), Right(xv400), bca, app(app(ty_Either, bda), bdb)) -> new_esEs3(xv300, xv400, bda, bdb) new_esEs2(Just(:(xv300, xv301)), Just(:(xv400, xv401)), app(ty_[], app(ty_Maybe, fg))) -> new_esEs2(xv300, xv400, fg) new_esEs2(Just(@2(xv300, xv301)), Just(@2(xv400, xv401)), app(app(ty_@2, app(ty_Maybe, bac)), hg)) -> new_esEs2(xv300, xv400, bac) new_esEs3(Left(xv300), Left(xv400), app(app(app(ty_@3, bag), bah), bba), bbb) -> new_esEs(xv300, xv400, bag, bah, bba) new_esEs2(Just(@2(xv300, xv301)), Just(@2(xv400, xv401)), app(app(ty_@2, gb), app(ty_[], gf))) -> new_esEs0(xv301, xv401, gf) new_esEs2(Just(Right(xv300)), Just(Right(xv400)), app(app(ty_Either, bca), app(ty_[], bce))) -> new_esEs0(xv300, xv400, bce) new_esEs(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), h, app(app(ty_@2, da), db), cf) -> new_esEs1(xv301, xv401, da, db) new_esEs1(@2(xv300, xv301), @2(xv400, xv401), gb, app(ty_[], gf)) -> new_esEs0(xv301, xv401, gf) new_esEs3(Left(xv300), Left(xv400), app(ty_[], bbc), bbb) -> new_esEs0(xv300, xv400, bbc) new_esEs3(Right(xv300), Right(xv400), bca, app(app(ty_@2, bcf), bcg)) -> new_esEs1(xv300, xv400, bcf, bcg) new_esEs1(@2(xv300, xv301), @2(xv400, xv401), app(app(ty_Either, bad), bae), hg) -> new_esEs3(xv300, xv400, bad, bae) new_esEs2(Just(Right(xv300)), Just(Right(xv400)), app(app(ty_Either, bca), app(app(ty_@2, bcf), bcg))) -> new_esEs1(xv300, xv400, bcf, bcg) new_esEs2(Just(@3(xv300, xv301, xv302)), Just(@3(xv400, xv401, xv402)), app(app(app(ty_@3, h), ba), app(ty_[], be))) -> new_esEs0(xv302, xv402, be) new_esEs2(Just(@3(xv300, xv301, xv302)), Just(@3(xv400, xv401, xv402)), app(app(app(ty_@3, h), ba), app(app(ty_Either, ca), cb))) -> new_esEs3(xv302, xv402, ca, cb) new_esEs1(@2(xv300, xv301), @2(xv400, xv401), app(app(app(ty_@3, hd), he), hf), hg) -> new_esEs(xv300, xv400, hd, he, hf) new_esEs1(@2(xv300, xv301), @2(xv400, xv401), app(app(ty_@2, baa), bab), hg) -> new_esEs1(xv300, xv400, baa, bab) new_esEs2(Just(@3(xv300, xv301, xv302)), Just(@3(xv400, xv401, xv402)), app(app(app(ty_@3, app(app(ty_@2, eb), ec)), ba), cf)) -> new_esEs1(xv300, xv400, eb, ec) new_esEs0(:(xv300, xv301), :(xv400, xv401), app(app(app(ty_@3, eh), fa), fb)) -> new_esEs(xv300, xv400, eh, fa, fb) new_esEs(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), h, ba, app(ty_Maybe, bh)) -> new_esEs2(xv302, xv402, bh) new_esEs2(Just(:(xv300, xv301)), Just(:(xv400, xv401)), app(ty_[], app(app(ty_Either, fh), ga))) -> new_esEs3(xv300, xv400, fh, ga) new_esEs2(Just(@3(xv300, xv301, xv302)), Just(@3(xv400, xv401, xv402)), app(app(app(ty_@3, h), app(app(app(ty_@3, cc), cd), ce)), cf)) -> new_esEs(xv301, xv401, cc, cd, ce) new_esEs(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), app(ty_[], ea), ba, cf) -> new_esEs0(xv300, xv400, ea) new_esEs0(:(xv300, xv301), :(xv400, xv401), app(app(ty_Either, fh), ga)) -> new_esEs3(xv300, xv400, fh, ga) new_esEs0(:(xv300, xv301), :(xv400, xv401), app(app(ty_@2, fd), ff)) -> new_esEs1(xv300, xv400, fd, ff) new_esEs2(Just(@3(xv300, xv301, xv302)), Just(@3(xv400, xv401, xv402)), app(app(app(ty_@3, h), app(ty_[], cg)), cf)) -> new_esEs0(xv301, xv401, cg) new_esEs3(Right(xv300), Right(xv400), bca, app(ty_Maybe, bch)) -> new_esEs2(xv300, xv400, bch) new_esEs3(Left(xv300), Left(xv400), app(app(ty_Either, bbg), bbh), bbb) -> new_esEs3(xv300, xv400, bbg, bbh) new_esEs(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), h, app(ty_[], cg), cf) -> new_esEs0(xv301, xv401, cg) new_esEs(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), app(app(ty_@2, eb), ec), ba, cf) -> new_esEs1(xv300, xv400, eb, ec) new_esEs2(Just(Right(xv300)), Just(Right(xv400)), app(app(ty_Either, bca), app(app(ty_Either, bda), bdb))) -> new_esEs3(xv300, xv400, bda, bdb) new_esEs(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), h, ba, app(ty_[], be)) -> new_esEs0(xv302, xv402, be) new_esEs(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), h, ba, app(app(app(ty_@3, bb), bc), bd)) -> new_esEs(xv302, xv402, bb, bc, bd) new_esEs3(Right(xv300), Right(xv400), bca, app(ty_[], bce)) -> new_esEs0(xv300, xv400, bce) new_esEs(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), h, ba, app(app(ty_@2, bf), bg)) -> new_esEs1(xv302, xv402, bf, bg) new_esEs2(Just(@2(xv300, xv301)), Just(@2(xv400, xv401)), app(app(ty_@2, gb), app(app(ty_@2, gg), gh))) -> new_esEs1(xv301, xv401, gg, gh) new_esEs2(Just(@3(xv300, xv301, xv302)), Just(@3(xv400, xv401, xv402)), app(app(app(ty_@3, h), ba), app(app(app(ty_@3, bb), bc), bd))) -> new_esEs(xv302, xv402, bb, bc, bd) new_esEs(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), app(ty_Maybe, ed), ba, cf) -> new_esEs2(xv300, xv400, ed) new_esEs2(Just(@3(xv300, xv301, xv302)), Just(@3(xv400, xv401, xv402)), app(app(app(ty_@3, h), app(ty_Maybe, dc)), cf)) -> new_esEs2(xv301, xv401, dc) new_esEs2(Just(@3(xv300, xv301, xv302)), Just(@3(xv400, xv401, xv402)), app(app(app(ty_@3, h), app(app(ty_Either, dd), de)), cf)) -> new_esEs3(xv301, xv401, dd, de) new_esEs2(Just(@3(xv300, xv301, xv302)), Just(@3(xv400, xv401, xv402)), app(app(app(ty_@3, h), ba), app(ty_Maybe, bh))) -> new_esEs2(xv302, xv402, bh) new_esEs2(Just(xv30), Just(xv40), app(ty_Maybe, baf)) -> new_esEs2(xv30, xv40, baf) new_esEs2(Just(Right(xv300)), Just(Right(xv400)), app(app(ty_Either, bca), app(ty_Maybe, bch))) -> new_esEs2(xv300, xv400, bch) new_esEs2(Just(@2(xv300, xv301)), Just(@2(xv400, xv401)), app(app(ty_@2, gb), app(app(app(ty_@3, gc), gd), ge))) -> new_esEs(xv301, xv401, gc, gd, ge) new_esEs2(Just(Left(xv300)), Just(Left(xv400)), app(app(ty_Either, app(ty_Maybe, bbf)), bbb)) -> new_esEs2(xv300, xv400, bbf) new_esEs1(@2(xv300, xv301), @2(xv400, xv401), gb, app(ty_Maybe, ha)) -> new_esEs2(xv301, xv401, ha) new_esEs(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), h, app(app(app(ty_@3, cc), cd), ce), cf) -> new_esEs(xv301, xv401, cc, cd, ce) new_esEs2(Just(:(xv300, xv301)), Just(:(xv400, xv401)), app(ty_[], app(ty_[], fc))) -> new_esEs0(xv300, xv400, fc) new_esEs(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), h, app(app(ty_Either, dd), de), cf) -> new_esEs3(xv301, xv401, dd, de) new_esEs0(:(xv300, xv301), :(xv400, xv401), eg) -> new_esEs0(xv301, xv401, eg) new_esEs1(@2(xv300, xv301), @2(xv400, xv401), app(ty_Maybe, bac), hg) -> new_esEs2(xv300, xv400, bac) new_esEs2(Just(@2(xv300, xv301)), Just(@2(xv400, xv401)), app(app(ty_@2, gb), app(ty_Maybe, ha))) -> new_esEs2(xv301, xv401, ha) new_esEs2(Just(@2(xv300, xv301)), Just(@2(xv400, xv401)), app(app(ty_@2, app(ty_[], hh)), hg)) -> new_esEs0(xv300, xv400, hh) new_esEs2(Just(@2(xv300, xv301)), Just(@2(xv400, xv401)), app(app(ty_@2, app(app(ty_@2, baa), bab)), hg)) -> new_esEs1(xv300, xv400, baa, bab) new_esEs0(:(xv300, xv301), :(xv400, xv401), app(ty_Maybe, fg)) -> new_esEs2(xv300, xv400, fg) new_esEs(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), h, ba, app(app(ty_Either, ca), cb)) -> new_esEs3(xv302, xv402, ca, cb) new_esEs1(@2(xv300, xv301), @2(xv400, xv401), app(ty_[], hh), hg) -> new_esEs0(xv300, xv400, hh) new_esEs2(Just(Left(xv300)), Just(Left(xv400)), app(app(ty_Either, app(app(app(ty_@3, bag), bah), bba)), bbb)) -> new_esEs(xv300, xv400, bag, bah, bba) new_esEs3(Left(xv300), Left(xv400), app(ty_Maybe, bbf), bbb) -> new_esEs2(xv300, xv400, bbf) new_esEs3(Right(xv300), Right(xv400), bca, app(app(app(ty_@3, bcb), bcc), bcd)) -> new_esEs(xv300, xv400, bcb, bcc, bcd) new_esEs2(Just(@2(xv300, xv301)), Just(@2(xv400, xv401)), app(app(ty_@2, gb), app(app(ty_Either, hb), hc))) -> new_esEs3(xv301, xv401, hb, hc) new_esEs2(Just(Right(xv300)), Just(Right(xv400)), app(app(ty_Either, bca), app(app(app(ty_@3, bcb), bcc), bcd))) -> new_esEs(xv300, xv400, bcb, bcc, bcd) new_esEs(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), app(app(app(ty_@3, df), dg), dh), ba, cf) -> new_esEs(xv300, xv400, df, dg, dh) new_esEs2(Just(@3(xv300, xv301, xv302)), Just(@3(xv400, xv401, xv402)), app(app(app(ty_@3, app(ty_Maybe, ed)), ba), cf)) -> new_esEs2(xv300, xv400, ed) new_esEs2(Just(Left(xv300)), Just(Left(xv400)), app(app(ty_Either, app(app(ty_@2, bbd), bbe)), bbb)) -> new_esEs1(xv300, xv400, bbd, bbe) new_esEs(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), h, app(ty_Maybe, dc), cf) -> new_esEs2(xv301, xv401, dc) new_esEs2(Just(@2(xv300, xv301)), Just(@2(xv400, xv401)), app(app(ty_@2, app(app(app(ty_@3, hd), he), hf)), hg)) -> new_esEs(xv300, xv400, hd, he, hf) new_esEs2(Just(@3(xv300, xv301, xv302)), Just(@3(xv400, xv401, xv402)), app(app(app(ty_@3, app(ty_[], ea)), ba), cf)) -> new_esEs0(xv300, xv400, ea) new_esEs1(@2(xv300, xv301), @2(xv400, xv401), gb, app(app(ty_@2, gg), gh)) -> new_esEs1(xv301, xv401, gg, gh) new_esEs1(@2(xv300, xv301), @2(xv400, xv401), gb, app(app(ty_Either, hb), hc)) -> new_esEs3(xv301, xv401, hb, hc) 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_esEs0(:(xv300, xv301), :(xv400, xv401), app(app(ty_@2, fd), ff)) -> new_esEs1(xv300, xv400, fd, ff) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs0(:(xv300, xv301), :(xv400, xv401), app(ty_Maybe, fg)) -> new_esEs2(xv300, xv400, fg) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs0(:(xv300, xv301), :(xv400, xv401), app(app(ty_Either, fh), ga)) -> new_esEs3(xv300, xv400, fh, ga) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs0(:(xv300, xv301), :(xv400, xv401), app(app(app(ty_@3, eh), fa), fb)) -> new_esEs(xv300, xv400, eh, fa, fb) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 *new_esEs(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), h, app(app(ty_@2, da), db), cf) -> new_esEs1(xv301, xv401, da, db) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 *new_esEs(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), app(app(ty_@2, eb), ec), ba, cf) -> new_esEs1(xv300, xv400, eb, ec) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), h, ba, app(app(ty_@2, bf), bg)) -> new_esEs1(xv302, xv402, bf, bg) The graph contains the following edges 1 > 1, 2 > 2, 5 > 3, 5 > 4 *new_esEs(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), h, ba, app(ty_Maybe, bh)) -> new_esEs2(xv302, xv402, bh) The graph contains the following edges 1 > 1, 2 > 2, 5 > 3 *new_esEs(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), app(ty_Maybe, ed), ba, cf) -> new_esEs2(xv300, xv400, ed) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), h, app(ty_Maybe, dc), cf) -> new_esEs2(xv301, xv401, dc) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 *new_esEs(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), app(app(ty_Either, ee), ef), ba, cf) -> new_esEs3(xv300, xv400, ee, ef) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), h, app(app(ty_Either, dd), de), cf) -> new_esEs3(xv301, xv401, dd, de) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 *new_esEs(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), h, ba, app(app(ty_Either, ca), cb)) -> new_esEs3(xv302, xv402, ca, cb) The graph contains the following edges 1 > 1, 2 > 2, 5 > 3, 5 > 4 *new_esEs(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), h, ba, app(app(app(ty_@3, bb), bc), bd)) -> new_esEs(xv302, xv402, bb, bc, bd) The graph contains the following edges 1 > 1, 2 > 2, 5 > 3, 5 > 4, 5 > 5 *new_esEs(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), h, app(app(app(ty_@3, cc), cd), ce), cf) -> new_esEs(xv301, xv401, cc, cd, ce) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4, 4 > 5 *new_esEs(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), app(app(app(ty_@3, df), dg), dh), ba, cf) -> new_esEs(xv300, xv400, df, dg, dh) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 *new_esEs(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), app(ty_[], ea), ba, cf) -> new_esEs0(xv300, xv400, ea) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), h, app(ty_[], cg), cf) -> new_esEs0(xv301, xv401, cg) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 *new_esEs(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), h, ba, app(ty_[], be)) -> new_esEs0(xv302, xv402, be) The graph contains the following edges 1 > 1, 2 > 2, 5 > 3 *new_esEs3(Left(xv300), Left(xv400), app(app(ty_@2, bbd), bbe), bbb) -> new_esEs1(xv300, xv400, bbd, bbe) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs3(Right(xv300), Right(xv400), bca, app(app(ty_@2, bcf), bcg)) -> new_esEs1(xv300, xv400, bcf, bcg) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 *new_esEs1(@2(xv300, xv301), @2(xv400, xv401), app(app(ty_@2, baa), bab), hg) -> new_esEs1(xv300, xv400, baa, bab) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs1(@2(xv300, xv301), @2(xv400, xv401), gb, app(app(ty_@2, gg), gh)) -> new_esEs1(xv301, xv401, gg, gh) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 *new_esEs2(Just(@3(xv300, xv301, xv302)), Just(@3(xv400, xv401, xv402)), app(app(app(ty_@3, h), ba), app(app(ty_@2, bf), bg))) -> new_esEs1(xv302, xv402, bf, bg) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs2(Just(:(xv300, xv301)), Just(:(xv400, xv401)), app(ty_[], app(app(ty_@2, fd), ff))) -> new_esEs1(xv300, xv400, fd, ff) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs2(Just(@3(xv300, xv301, xv302)), Just(@3(xv400, xv401, xv402)), app(app(app(ty_@3, h), app(app(ty_@2, da), db)), cf)) -> new_esEs1(xv301, xv401, da, db) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs2(Just(Right(xv300)), Just(Right(xv400)), app(app(ty_Either, bca), app(app(ty_@2, bcf), bcg))) -> new_esEs1(xv300, xv400, bcf, bcg) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs2(Just(@3(xv300, xv301, xv302)), Just(@3(xv400, xv401, xv402)), app(app(app(ty_@3, app(app(ty_@2, eb), ec)), ba), cf)) -> new_esEs1(xv300, xv400, eb, ec) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs2(Just(@2(xv300, xv301)), Just(@2(xv400, xv401)), app(app(ty_@2, gb), app(app(ty_@2, gg), gh))) -> new_esEs1(xv301, xv401, gg, gh) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs2(Just(@2(xv300, xv301)), Just(@2(xv400, xv401)), app(app(ty_@2, app(app(ty_@2, baa), bab)), hg)) -> new_esEs1(xv300, xv400, baa, bab) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs2(Just(Left(xv300)), Just(Left(xv400)), app(app(ty_Either, app(app(ty_@2, bbd), bbe)), bbb)) -> new_esEs1(xv300, xv400, bbd, bbe) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs3(Right(xv300), Right(xv400), bca, app(ty_Maybe, bch)) -> new_esEs2(xv300, xv400, bch) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 *new_esEs3(Left(xv300), Left(xv400), app(ty_Maybe, bbf), bbb) -> new_esEs2(xv300, xv400, bbf) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs1(@2(xv300, xv301), @2(xv400, xv401), gb, app(ty_Maybe, ha)) -> new_esEs2(xv301, xv401, ha) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 *new_esEs1(@2(xv300, xv301), @2(xv400, xv401), app(ty_Maybe, bac), hg) -> new_esEs2(xv300, xv400, bac) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs2(Just(:(xv300, xv301)), Just(:(xv400, xv401)), app(ty_[], app(ty_Maybe, fg))) -> new_esEs2(xv300, xv400, fg) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs2(Just(@2(xv300, xv301)), Just(@2(xv400, xv401)), app(app(ty_@2, app(ty_Maybe, bac)), hg)) -> new_esEs2(xv300, xv400, bac) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs2(Just(@3(xv300, xv301, xv302)), Just(@3(xv400, xv401, xv402)), app(app(app(ty_@3, h), app(ty_Maybe, dc)), cf)) -> new_esEs2(xv301, xv401, dc) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs2(Just(@3(xv300, xv301, xv302)), Just(@3(xv400, xv401, xv402)), app(app(app(ty_@3, h), ba), app(ty_Maybe, bh))) -> new_esEs2(xv302, xv402, bh) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs2(Just(xv30), Just(xv40), app(ty_Maybe, baf)) -> new_esEs2(xv30, xv40, baf) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs2(Just(Right(xv300)), Just(Right(xv400)), app(app(ty_Either, bca), app(ty_Maybe, bch))) -> new_esEs2(xv300, xv400, bch) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs2(Just(Left(xv300)), Just(Left(xv400)), app(app(ty_Either, app(ty_Maybe, bbf)), bbb)) -> new_esEs2(xv300, xv400, bbf) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs2(Just(@2(xv300, xv301)), Just(@2(xv400, xv401)), app(app(ty_@2, gb), app(ty_Maybe, ha))) -> new_esEs2(xv301, xv401, ha) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs2(Just(@3(xv300, xv301, xv302)), Just(@3(xv400, xv401, xv402)), app(app(app(ty_@3, app(ty_Maybe, ed)), ba), cf)) -> new_esEs2(xv300, xv400, ed) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs3(Right(xv300), Right(xv400), bca, app(app(ty_Either, bda), bdb)) -> new_esEs3(xv300, xv400, bda, bdb) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 *new_esEs3(Left(xv300), Left(xv400), app(app(ty_Either, bbg), bbh), bbb) -> new_esEs3(xv300, xv400, bbg, bbh) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs3(Left(xv300), Left(xv400), app(app(app(ty_@3, bag), bah), bba), bbb) -> new_esEs(xv300, xv400, bag, bah, bba) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 *new_esEs3(Right(xv300), Right(xv400), bca, app(app(app(ty_@3, bcb), bcc), bcd)) -> new_esEs(xv300, xv400, bcb, bcc, bcd) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4, 4 > 5 *new_esEs3(Left(xv300), Left(xv400), app(ty_[], bbc), bbb) -> new_esEs0(xv300, xv400, bbc) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs3(Right(xv300), Right(xv400), bca, app(ty_[], bce)) -> new_esEs0(xv300, xv400, bce) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 *new_esEs1(@2(xv300, xv301), @2(xv400, xv401), app(app(ty_Either, bad), bae), hg) -> new_esEs3(xv300, xv400, bad, bae) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs1(@2(xv300, xv301), @2(xv400, xv401), gb, app(app(ty_Either, hb), hc)) -> new_esEs3(xv301, xv401, hb, hc) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 *new_esEs1(@2(xv300, xv301), @2(xv400, xv401), gb, app(app(app(ty_@3, gc), gd), ge)) -> new_esEs(xv301, xv401, gc, gd, ge) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4, 4 > 5 *new_esEs1(@2(xv300, xv301), @2(xv400, xv401), app(app(app(ty_@3, hd), he), hf), hg) -> new_esEs(xv300, xv400, hd, he, hf) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 *new_esEs1(@2(xv300, xv301), @2(xv400, xv401), gb, app(ty_[], gf)) -> new_esEs0(xv301, xv401, gf) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 *new_esEs1(@2(xv300, xv301), @2(xv400, xv401), app(ty_[], hh), hg) -> new_esEs0(xv300, xv400, hh) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs2(Just(@2(xv300, xv301)), Just(@2(xv400, xv401)), app(app(ty_@2, app(app(ty_Either, bad), bae)), hg)) -> new_esEs3(xv300, xv400, bad, bae) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs2(Just(Left(xv300)), Just(Left(xv400)), app(app(ty_Either, app(app(ty_Either, bbg), bbh)), bbb)) -> new_esEs3(xv300, xv400, bbg, bbh) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs2(Just(@3(xv300, xv301, xv302)), Just(@3(xv400, xv401, xv402)), app(app(app(ty_@3, app(app(ty_Either, ee), ef)), ba), cf)) -> new_esEs3(xv300, xv400, ee, ef) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs2(Just(@3(xv300, xv301, xv302)), Just(@3(xv400, xv401, xv402)), app(app(app(ty_@3, h), ba), app(app(ty_Either, ca), cb))) -> new_esEs3(xv302, xv402, ca, cb) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs2(Just(:(xv300, xv301)), Just(:(xv400, xv401)), app(ty_[], app(app(ty_Either, fh), ga))) -> new_esEs3(xv300, xv400, fh, ga) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs2(Just(Right(xv300)), Just(Right(xv400)), app(app(ty_Either, bca), app(app(ty_Either, bda), bdb))) -> new_esEs3(xv300, xv400, bda, bdb) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs2(Just(@3(xv300, xv301, xv302)), Just(@3(xv400, xv401, xv402)), app(app(app(ty_@3, h), app(app(ty_Either, dd), de)), cf)) -> new_esEs3(xv301, xv401, dd, de) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs2(Just(@2(xv300, xv301)), Just(@2(xv400, xv401)), app(app(ty_@2, gb), app(app(ty_Either, hb), hc))) -> new_esEs3(xv301, xv401, hb, hc) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs2(Just(:(xv300, xv301)), Just(:(xv400, xv401)), app(ty_[], app(app(app(ty_@3, eh), fa), fb))) -> new_esEs(xv300, xv400, eh, fa, fb) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 *new_esEs2(Just(@3(xv300, xv301, xv302)), Just(@3(xv400, xv401, xv402)), app(app(app(ty_@3, app(app(app(ty_@3, df), dg), dh)), ba), cf)) -> new_esEs(xv300, xv400, df, dg, dh) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 *new_esEs2(Just(@3(xv300, xv301, xv302)), Just(@3(xv400, xv401, xv402)), app(app(app(ty_@3, h), app(app(app(ty_@3, cc), cd), ce)), cf)) -> new_esEs(xv301, xv401, cc, cd, ce) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 *new_esEs2(Just(@3(xv300, xv301, xv302)), Just(@3(xv400, xv401, xv402)), app(app(app(ty_@3, h), ba), app(app(app(ty_@3, bb), bc), bd))) -> new_esEs(xv302, xv402, bb, bc, bd) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 *new_esEs2(Just(@2(xv300, xv301)), Just(@2(xv400, xv401)), app(app(ty_@2, gb), app(app(app(ty_@3, gc), gd), ge))) -> new_esEs(xv301, xv401, gc, gd, ge) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 *new_esEs2(Just(Left(xv300)), Just(Left(xv400)), app(app(ty_Either, app(app(app(ty_@3, bag), bah), bba)), bbb)) -> new_esEs(xv300, xv400, bag, bah, bba) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 *new_esEs2(Just(Right(xv300)), Just(Right(xv400)), app(app(ty_Either, bca), app(app(app(ty_@3, bcb), bcc), bcd))) -> new_esEs(xv300, xv400, bcb, bcc, bcd) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 *new_esEs2(Just(@2(xv300, xv301)), Just(@2(xv400, xv401)), app(app(ty_@2, app(app(app(ty_@3, hd), he), hf)), hg)) -> new_esEs(xv300, xv400, hd, he, hf) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 *new_esEs0(:(xv300, xv301), :(xv400, xv401), app(ty_[], fc)) -> new_esEs0(xv300, xv400, fc) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs0(:(xv300, xv301), :(xv400, xv401), eg) -> new_esEs0(xv301, xv401, eg) The graph contains the following edges 1 > 1, 2 > 2, 3 >= 3 *new_esEs2(Just(:(xv300, xv301)), Just(:(xv400, xv401)), app(ty_[], eg)) -> new_esEs0(xv301, xv401, eg) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs2(Just(Left(xv300)), Just(Left(xv400)), app(app(ty_Either, app(ty_[], bbc)), bbb)) -> new_esEs0(xv300, xv400, bbc) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs2(Just(@2(xv300, xv301)), Just(@2(xv400, xv401)), app(app(ty_@2, gb), app(ty_[], gf))) -> new_esEs0(xv301, xv401, gf) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs2(Just(Right(xv300)), Just(Right(xv400)), app(app(ty_Either, bca), app(ty_[], bce))) -> new_esEs0(xv300, xv400, bce) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs2(Just(@3(xv300, xv301, xv302)), Just(@3(xv400, xv401, xv402)), app(app(app(ty_@3, h), ba), app(ty_[], be))) -> new_esEs0(xv302, xv402, be) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs2(Just(@3(xv300, xv301, xv302)), Just(@3(xv400, xv401, xv402)), app(app(app(ty_@3, h), app(ty_[], cg)), cf)) -> new_esEs0(xv301, xv401, cg) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs2(Just(:(xv300, xv301)), Just(:(xv400, xv401)), app(ty_[], app(ty_[], fc))) -> new_esEs0(xv300, xv400, fc) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs2(Just(@2(xv300, xv301)), Just(@2(xv400, xv401)), app(app(ty_@2, app(ty_[], hh)), hg)) -> new_esEs0(xv300, xv400, hh) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs2(Just(@3(xv300, xv301, xv302)), Just(@3(xv400, xv401, xv402)), app(app(app(ty_@3, app(ty_[], ea)), ba), cf)) -> new_esEs0(xv300, xv400, ea) 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(xv30100), Succ(xv40000)) -> new_primMulNat(xv30100, Succ(xv40000)) 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(xv30100), Succ(xv40000)) -> new_primMulNat(xv30100, Succ(xv40000)) 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(xv2100), Succ(xv400000)) -> new_primPlusNat(xv2100, xv400000) 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(xv2100), Succ(xv400000)) -> new_primPlusNat(xv2100, xv400000) 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