/export/starexec/sandbox/solver/bin/starexec_run_standard /export/starexec/sandbox/benchmark/theBenchmark.hs /export/starexec/sandbox/output/output_files -------------------------------------------------------------------------------- YES proof of /export/starexec/sandbox/benchmark/theBenchmark.hs # AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty H-Termination with start terms of the given HASKELL could be proven: (0) HASKELL (1) BR [EQUIVALENT, 0 ms] (2) HASKELL (3) COR [EQUIVALENT, 0 ms] (4) HASKELL (5) Narrow [SOUND, 0 ms] (6) AND (7) QDP (8) QDPSizeChangeProof [EQUIVALENT, 0 ms] (9) YES (10) QDP (11) QDPSizeChangeProof [EQUIVALENT, 0 ms] (12) YES (13) QDP (14) QDPSizeChangeProof [EQUIVALENT, 0 ms] (15) YES (16) QDP (17) QDPSizeChangeProof [EQUIVALENT, 0 ms] (18) YES ---------------------------------------- (0) Obligation: mainModule Main module Main where { import qualified Prelude; } ---------------------------------------- (1) BR (EQUIVALENT) Replaced joker patterns by fresh variables and removed binding patterns. ---------------------------------------- (2) Obligation: mainModule Main module Main where { import qualified Prelude; } ---------------------------------------- (3) COR (EQUIVALENT) Cond Reductions: The following Function with conditions "undefined |Falseundefined; " is transformed to "undefined = undefined1; " "undefined0 True = undefined; " "undefined1 = undefined0 False; " ---------------------------------------- (4) Obligation: mainModule Main module Main where { import qualified Prelude; } ---------------------------------------- (5) Narrow (SOUND) Haskell To QDPs digraph dp_graph { node [outthreshold=100, inthreshold=100];1[label="(==)",fontsize=16,color="grey",shape="box"];1 -> 3[label="",style="dashed", color="grey", weight=3]; 3[label="(==) xv3",fontsize=16,color="grey",shape="box"];3 -> 4[label="",style="dashed", color="grey", weight=3]; 4[label="(==) xv3 xv4",fontsize=16,color="blue",shape="box"];661[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];4 -> 661[label="",style="solid", color="blue", weight=9]; 661 -> 5[label="",style="solid", color="blue", weight=3]; 662[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];4 -> 662[label="",style="solid", color="blue", weight=9]; 662 -> 6[label="",style="solid", color="blue", weight=3]; 663[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];4 -> 663[label="",style="solid", color="blue", weight=9]; 663 -> 7[label="",style="solid", color="blue", weight=3]; 664[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];4 -> 664[label="",style="solid", color="blue", weight=9]; 664 -> 8[label="",style="solid", color="blue", weight=3]; 665[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];4 -> 665[label="",style="solid", color="blue", weight=9]; 665 -> 9[label="",style="solid", color="blue", weight=3]; 666[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];4 -> 666[label="",style="solid", color="blue", weight=9]; 666 -> 10[label="",style="solid", color="blue", weight=3]; 667[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];4 -> 667[label="",style="solid", color="blue", weight=9]; 667 -> 11[label="",style="solid", color="blue", weight=3]; 668[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];4 -> 668[label="",style="solid", color="blue", weight=9]; 668 -> 12[label="",style="solid", color="blue", weight=3]; 669[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];4 -> 669[label="",style="solid", color="blue", weight=9]; 669 -> 13[label="",style="solid", color="blue", weight=3]; 670[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];4 -> 670[label="",style="solid", color="blue", weight=9]; 670 -> 14[label="",style="solid", color="blue", weight=3]; 671[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];4 -> 671[label="",style="solid", color="blue", weight=9]; 671 -> 15[label="",style="solid", color="blue", weight=3]; 672[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];4 -> 672[label="",style="solid", color="blue", weight=9]; 672 -> 16[label="",style="solid", color="blue", weight=3]; 673[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];4 -> 673[label="",style="solid", color="blue", weight=9]; 673 -> 17[label="",style="solid", color="blue", weight=3]; 674[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];4 -> 674[label="",style="solid", color="blue", weight=9]; 674 -> 18[label="",style="solid", color="blue", weight=3]; 5[label="(==) xv3 xv4",fontsize=16,color="burlywood",shape="triangle"];675[label="xv3/Nothing",fontsize=10,color="white",style="solid",shape="box"];5 -> 675[label="",style="solid", color="burlywood", weight=9]; 675 -> 19[label="",style="solid", color="burlywood", weight=3]; 676[label="xv3/Just xv30",fontsize=10,color="white",style="solid",shape="box"];5 -> 676[label="",style="solid", color="burlywood", weight=9]; 676 -> 20[label="",style="solid", color="burlywood", weight=3]; 6[label="(==) xv3 xv4",fontsize=16,color="burlywood",shape="triangle"];677[label="xv3/xv30 :% xv31",fontsize=10,color="white",style="solid",shape="box"];6 -> 677[label="",style="solid", color="burlywood", weight=9]; 677 -> 21[label="",style="solid", color="burlywood", weight=3]; 7[label="(==) xv3 xv4",fontsize=16,color="burlywood",shape="triangle"];678[label="xv3/Left xv30",fontsize=10,color="white",style="solid",shape="box"];7 -> 678[label="",style="solid", color="burlywood", weight=9]; 678 -> 22[label="",style="solid", color="burlywood", weight=3]; 679[label="xv3/Right xv30",fontsize=10,color="white",style="solid",shape="box"];7 -> 679[label="",style="solid", color="burlywood", weight=9]; 679 -> 23[label="",style="solid", color="burlywood", weight=3]; 8[label="(==) xv3 xv4",fontsize=16,color="burlywood",shape="triangle"];680[label="xv3/xv30 : xv31",fontsize=10,color="white",style="solid",shape="box"];8 -> 680[label="",style="solid", color="burlywood", weight=9]; 680 -> 24[label="",style="solid", color="burlywood", weight=3]; 681[label="xv3/[]",fontsize=10,color="white",style="solid",shape="box"];8 -> 681[label="",style="solid", color="burlywood", weight=9]; 681 -> 25[label="",style="solid", color="burlywood", weight=3]; 9[label="(==) xv3 xv4",fontsize=16,color="burlywood",shape="triangle"];682[label="xv3/(xv30,xv31,xv32)",fontsize=10,color="white",style="solid",shape="box"];9 -> 682[label="",style="solid", color="burlywood", weight=9]; 682 -> 26[label="",style="solid", color="burlywood", weight=3]; 10[label="(==) xv3 xv4",fontsize=16,color="black",shape="triangle"];10 -> 27[label="",style="solid", color="black", weight=3]; 11[label="(==) xv3 xv4",fontsize=16,color="black",shape="triangle"];11 -> 28[label="",style="solid", color="black", weight=3]; 12[label="(==) xv3 xv4",fontsize=16,color="burlywood",shape="triangle"];683[label="xv3/LT",fontsize=10,color="white",style="solid",shape="box"];12 -> 683[label="",style="solid", color="burlywood", weight=9]; 683 -> 29[label="",style="solid", color="burlywood", weight=3]; 684[label="xv3/EQ",fontsize=10,color="white",style="solid",shape="box"];12 -> 684[label="",style="solid", color="burlywood", weight=9]; 684 -> 30[label="",style="solid", color="burlywood", weight=3]; 685[label="xv3/GT",fontsize=10,color="white",style="solid",shape="box"];12 -> 685[label="",style="solid", color="burlywood", weight=9]; 685 -> 31[label="",style="solid", color="burlywood", weight=3]; 13[label="(==) xv3 xv4",fontsize=16,color="burlywood",shape="triangle"];686[label="xv3/(xv30,xv31)",fontsize=10,color="white",style="solid",shape="box"];13 -> 686[label="",style="solid", color="burlywood", weight=9]; 686 -> 32[label="",style="solid", color="burlywood", weight=3]; 14[label="(==) xv3 xv4",fontsize=16,color="burlywood",shape="triangle"];687[label="xv3/False",fontsize=10,color="white",style="solid",shape="box"];14 -> 687[label="",style="solid", color="burlywood", weight=9]; 687 -> 33[label="",style="solid", color="burlywood", weight=3]; 688[label="xv3/True",fontsize=10,color="white",style="solid",shape="box"];14 -> 688[label="",style="solid", color="burlywood", weight=9]; 688 -> 34[label="",style="solid", color="burlywood", weight=3]; 15[label="(==) xv3 xv4",fontsize=16,color="burlywood",shape="triangle"];689[label="xv3/Integer xv30",fontsize=10,color="white",style="solid",shape="box"];15 -> 689[label="",style="solid", color="burlywood", weight=9]; 689 -> 35[label="",style="solid", color="burlywood", weight=3]; 16[label="(==) xv3 xv4",fontsize=16,color="black",shape="triangle"];16 -> 36[label="",style="solid", color="black", weight=3]; 17[label="(==) xv3 xv4",fontsize=16,color="burlywood",shape="triangle"];690[label="xv3/()",fontsize=10,color="white",style="solid",shape="box"];17 -> 690[label="",style="solid", color="burlywood", weight=9]; 690 -> 37[label="",style="solid", color="burlywood", weight=3]; 18[label="(==) xv3 xv4",fontsize=16,color="black",shape="triangle"];18 -> 38[label="",style="solid", color="black", weight=3]; 19[label="(==) Nothing xv4",fontsize=16,color="burlywood",shape="box"];691[label="xv4/Nothing",fontsize=10,color="white",style="solid",shape="box"];19 -> 691[label="",style="solid", color="burlywood", weight=9]; 691 -> 39[label="",style="solid", color="burlywood", weight=3]; 692[label="xv4/Just xv40",fontsize=10,color="white",style="solid",shape="box"];19 -> 692[label="",style="solid", color="burlywood", weight=9]; 692 -> 40[label="",style="solid", color="burlywood", weight=3]; 20[label="(==) Just xv30 xv4",fontsize=16,color="burlywood",shape="box"];693[label="xv4/Nothing",fontsize=10,color="white",style="solid",shape="box"];20 -> 693[label="",style="solid", color="burlywood", weight=9]; 693 -> 41[label="",style="solid", color="burlywood", weight=3]; 694[label="xv4/Just xv40",fontsize=10,color="white",style="solid",shape="box"];20 -> 694[label="",style="solid", color="burlywood", weight=9]; 694 -> 42[label="",style="solid", color="burlywood", weight=3]; 21[label="(==) xv30 :% xv31 xv4",fontsize=16,color="burlywood",shape="box"];695[label="xv4/xv40 :% xv41",fontsize=10,color="white",style="solid",shape="box"];21 -> 695[label="",style="solid", color="burlywood", weight=9]; 695 -> 43[label="",style="solid", color="burlywood", weight=3]; 22[label="(==) Left xv30 xv4",fontsize=16,color="burlywood",shape="box"];696[label="xv4/Left xv40",fontsize=10,color="white",style="solid",shape="box"];22 -> 696[label="",style="solid", color="burlywood", weight=9]; 696 -> 44[label="",style="solid", color="burlywood", weight=3]; 697[label="xv4/Right xv40",fontsize=10,color="white",style="solid",shape="box"];22 -> 697[label="",style="solid", color="burlywood", weight=9]; 697 -> 45[label="",style="solid", color="burlywood", weight=3]; 23[label="(==) Right xv30 xv4",fontsize=16,color="burlywood",shape="box"];698[label="xv4/Left xv40",fontsize=10,color="white",style="solid",shape="box"];23 -> 698[label="",style="solid", color="burlywood", weight=9]; 698 -> 46[label="",style="solid", color="burlywood", weight=3]; 699[label="xv4/Right xv40",fontsize=10,color="white",style="solid",shape="box"];23 -> 699[label="",style="solid", color="burlywood", weight=9]; 699 -> 47[label="",style="solid", color="burlywood", weight=3]; 24[label="(==) xv30 : xv31 xv4",fontsize=16,color="burlywood",shape="box"];700[label="xv4/xv40 : xv41",fontsize=10,color="white",style="solid",shape="box"];24 -> 700[label="",style="solid", color="burlywood", weight=9]; 700 -> 48[label="",style="solid", color="burlywood", weight=3]; 701[label="xv4/[]",fontsize=10,color="white",style="solid",shape="box"];24 -> 701[label="",style="solid", color="burlywood", weight=9]; 701 -> 49[label="",style="solid", color="burlywood", weight=3]; 25[label="(==) [] xv4",fontsize=16,color="burlywood",shape="box"];702[label="xv4/xv40 : xv41",fontsize=10,color="white",style="solid",shape="box"];25 -> 702[label="",style="solid", color="burlywood", weight=9]; 702 -> 50[label="",style="solid", color="burlywood", weight=3]; 703[label="xv4/[]",fontsize=10,color="white",style="solid",shape="box"];25 -> 703[label="",style="solid", color="burlywood", weight=9]; 703 -> 51[label="",style="solid", color="burlywood", weight=3]; 26[label="(==) (xv30,xv31,xv32) xv4",fontsize=16,color="burlywood",shape="box"];704[label="xv4/(xv40,xv41,xv42)",fontsize=10,color="white",style="solid",shape="box"];26 -> 704[label="",style="solid", color="burlywood", weight=9]; 704 -> 52[label="",style="solid", color="burlywood", weight=3]; 27[label="primEqDouble xv3 xv4",fontsize=16,color="burlywood",shape="box"];705[label="xv3/Double xv30 xv31",fontsize=10,color="white",style="solid",shape="box"];27 -> 705[label="",style="solid", color="burlywood", weight=9]; 705 -> 53[label="",style="solid", color="burlywood", weight=3]; 28[label="primEqChar xv3 xv4",fontsize=16,color="burlywood",shape="box"];706[label="xv3/Char xv30",fontsize=10,color="white",style="solid",shape="box"];28 -> 706[label="",style="solid", color="burlywood", weight=9]; 706 -> 54[label="",style="solid", color="burlywood", weight=3]; 29[label="(==) LT xv4",fontsize=16,color="burlywood",shape="box"];707[label="xv4/LT",fontsize=10,color="white",style="solid",shape="box"];29 -> 707[label="",style="solid", color="burlywood", weight=9]; 707 -> 55[label="",style="solid", color="burlywood", weight=3]; 708[label="xv4/EQ",fontsize=10,color="white",style="solid",shape="box"];29 -> 708[label="",style="solid", color="burlywood", weight=9]; 708 -> 56[label="",style="solid", color="burlywood", weight=3]; 709[label="xv4/GT",fontsize=10,color="white",style="solid",shape="box"];29 -> 709[label="",style="solid", color="burlywood", weight=9]; 709 -> 57[label="",style="solid", color="burlywood", weight=3]; 30[label="(==) EQ xv4",fontsize=16,color="burlywood",shape="box"];710[label="xv4/LT",fontsize=10,color="white",style="solid",shape="box"];30 -> 710[label="",style="solid", color="burlywood", weight=9]; 710 -> 58[label="",style="solid", color="burlywood", weight=3]; 711[label="xv4/EQ",fontsize=10,color="white",style="solid",shape="box"];30 -> 711[label="",style="solid", color="burlywood", weight=9]; 711 -> 59[label="",style="solid", color="burlywood", weight=3]; 712[label="xv4/GT",fontsize=10,color="white",style="solid",shape="box"];30 -> 712[label="",style="solid", color="burlywood", weight=9]; 712 -> 60[label="",style="solid", color="burlywood", weight=3]; 31[label="(==) GT xv4",fontsize=16,color="burlywood",shape="box"];713[label="xv4/LT",fontsize=10,color="white",style="solid",shape="box"];31 -> 713[label="",style="solid", color="burlywood", weight=9]; 713 -> 61[label="",style="solid", color="burlywood", weight=3]; 714[label="xv4/EQ",fontsize=10,color="white",style="solid",shape="box"];31 -> 714[label="",style="solid", color="burlywood", weight=9]; 714 -> 62[label="",style="solid", color="burlywood", weight=3]; 715[label="xv4/GT",fontsize=10,color="white",style="solid",shape="box"];31 -> 715[label="",style="solid", color="burlywood", weight=9]; 715 -> 63[label="",style="solid", color="burlywood", weight=3]; 32[label="(==) (xv30,xv31) xv4",fontsize=16,color="burlywood",shape="box"];716[label="xv4/(xv40,xv41)",fontsize=10,color="white",style="solid",shape="box"];32 -> 716[label="",style="solid", color="burlywood", weight=9]; 716 -> 64[label="",style="solid", color="burlywood", weight=3]; 33[label="(==) False xv4",fontsize=16,color="burlywood",shape="box"];717[label="xv4/False",fontsize=10,color="white",style="solid",shape="box"];33 -> 717[label="",style="solid", color="burlywood", weight=9]; 717 -> 65[label="",style="solid", color="burlywood", weight=3]; 718[label="xv4/True",fontsize=10,color="white",style="solid",shape="box"];33 -> 718[label="",style="solid", color="burlywood", weight=9]; 718 -> 66[label="",style="solid", color="burlywood", weight=3]; 34[label="(==) True xv4",fontsize=16,color="burlywood",shape="box"];719[label="xv4/False",fontsize=10,color="white",style="solid",shape="box"];34 -> 719[label="",style="solid", color="burlywood", weight=9]; 719 -> 67[label="",style="solid", color="burlywood", weight=3]; 720[label="xv4/True",fontsize=10,color="white",style="solid",shape="box"];34 -> 720[label="",style="solid", color="burlywood", weight=9]; 720 -> 68[label="",style="solid", color="burlywood", weight=3]; 35[label="(==) Integer xv30 xv4",fontsize=16,color="burlywood",shape="box"];721[label="xv4/Integer xv40",fontsize=10,color="white",style="solid",shape="box"];35 -> 721[label="",style="solid", color="burlywood", weight=9]; 721 -> 69[label="",style="solid", color="burlywood", weight=3]; 36[label="primEqInt xv3 xv4",fontsize=16,color="burlywood",shape="triangle"];722[label="xv3/Pos xv30",fontsize=10,color="white",style="solid",shape="box"];36 -> 722[label="",style="solid", color="burlywood", weight=9]; 722 -> 70[label="",style="solid", color="burlywood", weight=3]; 723[label="xv3/Neg xv30",fontsize=10,color="white",style="solid",shape="box"];36 -> 723[label="",style="solid", color="burlywood", weight=9]; 723 -> 71[label="",style="solid", color="burlywood", weight=3]; 37[label="(==) () xv4",fontsize=16,color="burlywood",shape="box"];724[label="xv4/()",fontsize=10,color="white",style="solid",shape="box"];37 -> 724[label="",style="solid", color="burlywood", weight=9]; 724 -> 72[label="",style="solid", color="burlywood", weight=3]; 38[label="primEqFloat xv3 xv4",fontsize=16,color="burlywood",shape="box"];725[label="xv3/Float xv30 xv31",fontsize=10,color="white",style="solid",shape="box"];38 -> 725[label="",style="solid", color="burlywood", weight=9]; 725 -> 73[label="",style="solid", color="burlywood", weight=3]; 39[label="(==) Nothing Nothing",fontsize=16,color="black",shape="box"];39 -> 74[label="",style="solid", color="black", weight=3]; 40[label="(==) Nothing Just xv40",fontsize=16,color="black",shape="box"];40 -> 75[label="",style="solid", color="black", weight=3]; 41[label="(==) Just xv30 Nothing",fontsize=16,color="black",shape="box"];41 -> 76[label="",style="solid", color="black", weight=3]; 42[label="(==) Just xv30 Just xv40",fontsize=16,color="black",shape="box"];42 -> 77[label="",style="solid", color="black", weight=3]; 43[label="(==) xv30 :% xv31 xv40 :% xv41",fontsize=16,color="black",shape="box"];43 -> 78[label="",style="solid", color="black", weight=3]; 44[label="(==) Left xv30 Left xv40",fontsize=16,color="black",shape="box"];44 -> 79[label="",style="solid", color="black", weight=3]; 45[label="(==) Left xv30 Right xv40",fontsize=16,color="black",shape="box"];45 -> 80[label="",style="solid", color="black", weight=3]; 46[label="(==) Right xv30 Left xv40",fontsize=16,color="black",shape="box"];46 -> 81[label="",style="solid", color="black", weight=3]; 47[label="(==) Right xv30 Right xv40",fontsize=16,color="black",shape="box"];47 -> 82[label="",style="solid", color="black", weight=3]; 48[label="(==) xv30 : xv31 xv40 : xv41",fontsize=16,color="black",shape="box"];48 -> 83[label="",style="solid", color="black", weight=3]; 49[label="(==) xv30 : xv31 []",fontsize=16,color="black",shape="box"];49 -> 84[label="",style="solid", color="black", weight=3]; 50[label="(==) [] xv40 : xv41",fontsize=16,color="black",shape="box"];50 -> 85[label="",style="solid", color="black", weight=3]; 51[label="(==) [] []",fontsize=16,color="black",shape="box"];51 -> 86[label="",style="solid", color="black", weight=3]; 52[label="(==) (xv30,xv31,xv32) (xv40,xv41,xv42)",fontsize=16,color="black",shape="box"];52 -> 87[label="",style="solid", color="black", weight=3]; 53[label="primEqDouble (Double xv30 xv31) xv4",fontsize=16,color="burlywood",shape="box"];726[label="xv4/Double xv40 xv41",fontsize=10,color="white",style="solid",shape="box"];53 -> 726[label="",style="solid", color="burlywood", weight=9]; 726 -> 88[label="",style="solid", color="burlywood", weight=3]; 54[label="primEqChar (Char xv30) xv4",fontsize=16,color="burlywood",shape="box"];727[label="xv4/Char xv40",fontsize=10,color="white",style="solid",shape="box"];54 -> 727[label="",style="solid", color="burlywood", weight=9]; 727 -> 89[label="",style="solid", color="burlywood", weight=3]; 55[label="(==) LT LT",fontsize=16,color="black",shape="box"];55 -> 90[label="",style="solid", color="black", weight=3]; 56[label="(==) LT EQ",fontsize=16,color="black",shape="box"];56 -> 91[label="",style="solid", color="black", weight=3]; 57[label="(==) LT GT",fontsize=16,color="black",shape="box"];57 -> 92[label="",style="solid", color="black", weight=3]; 58[label="(==) EQ LT",fontsize=16,color="black",shape="box"];58 -> 93[label="",style="solid", color="black", weight=3]; 59[label="(==) EQ EQ",fontsize=16,color="black",shape="box"];59 -> 94[label="",style="solid", color="black", weight=3]; 60[label="(==) EQ GT",fontsize=16,color="black",shape="box"];60 -> 95[label="",style="solid", color="black", weight=3]; 61[label="(==) GT LT",fontsize=16,color="black",shape="box"];61 -> 96[label="",style="solid", color="black", weight=3]; 62[label="(==) GT EQ",fontsize=16,color="black",shape="box"];62 -> 97[label="",style="solid", color="black", weight=3]; 63[label="(==) GT GT",fontsize=16,color="black",shape="box"];63 -> 98[label="",style="solid", color="black", weight=3]; 64[label="(==) (xv30,xv31) (xv40,xv41)",fontsize=16,color="black",shape="box"];64 -> 99[label="",style="solid", color="black", weight=3]; 65[label="(==) False False",fontsize=16,color="black",shape="box"];65 -> 100[label="",style="solid", color="black", weight=3]; 66[label="(==) False True",fontsize=16,color="black",shape="box"];66 -> 101[label="",style="solid", color="black", weight=3]; 67[label="(==) True False",fontsize=16,color="black",shape="box"];67 -> 102[label="",style="solid", color="black", weight=3]; 68[label="(==) True True",fontsize=16,color="black",shape="box"];68 -> 103[label="",style="solid", color="black", weight=3]; 69[label="(==) Integer xv30 Integer xv40",fontsize=16,color="black",shape="box"];69 -> 104[label="",style="solid", color="black", weight=3]; 70[label="primEqInt (Pos xv30) xv4",fontsize=16,color="burlywood",shape="box"];728[label="xv30/Succ xv300",fontsize=10,color="white",style="solid",shape="box"];70 -> 728[label="",style="solid", color="burlywood", weight=9]; 728 -> 105[label="",style="solid", color="burlywood", weight=3]; 729[label="xv30/Zero",fontsize=10,color="white",style="solid",shape="box"];70 -> 729[label="",style="solid", color="burlywood", weight=9]; 729 -> 106[label="",style="solid", color="burlywood", weight=3]; 71[label="primEqInt (Neg xv30) xv4",fontsize=16,color="burlywood",shape="box"];730[label="xv30/Succ xv300",fontsize=10,color="white",style="solid",shape="box"];71 -> 730[label="",style="solid", color="burlywood", weight=9]; 730 -> 107[label="",style="solid", color="burlywood", weight=3]; 731[label="xv30/Zero",fontsize=10,color="white",style="solid",shape="box"];71 -> 731[label="",style="solid", color="burlywood", weight=9]; 731 -> 108[label="",style="solid", color="burlywood", weight=3]; 72[label="(==) () ()",fontsize=16,color="black",shape="box"];72 -> 109[label="",style="solid", color="black", weight=3]; 73[label="primEqFloat (Float xv30 xv31) xv4",fontsize=16,color="burlywood",shape="box"];732[label="xv4/Float xv40 xv41",fontsize=10,color="white",style="solid",shape="box"];73 -> 732[label="",style="solid", color="burlywood", weight=9]; 732 -> 110[label="",style="solid", color="burlywood", weight=3]; 74[label="True",fontsize=16,color="green",shape="box"];75[label="False",fontsize=16,color="green",shape="box"];76[label="False",fontsize=16,color="green",shape="box"];77[label="xv30 == xv40",fontsize=16,color="blue",shape="box"];733[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];77 -> 733[label="",style="solid", color="blue", weight=9]; 733 -> 111[label="",style="solid", color="blue", weight=3]; 734[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];77 -> 734[label="",style="solid", color="blue", weight=9]; 734 -> 112[label="",style="solid", color="blue", weight=3]; 735[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];77 -> 735[label="",style="solid", color="blue", weight=9]; 735 -> 113[label="",style="solid", color="blue", weight=3]; 736[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];77 -> 736[label="",style="solid", color="blue", weight=9]; 736 -> 114[label="",style="solid", color="blue", weight=3]; 737[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];77 -> 737[label="",style="solid", color="blue", weight=9]; 737 -> 115[label="",style="solid", color="blue", weight=3]; 738[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];77 -> 738[label="",style="solid", color="blue", weight=9]; 738 -> 116[label="",style="solid", color="blue", weight=3]; 739[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];77 -> 739[label="",style="solid", color="blue", weight=9]; 739 -> 117[label="",style="solid", color="blue", weight=3]; 740[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];77 -> 740[label="",style="solid", color="blue", weight=9]; 740 -> 118[label="",style="solid", color="blue", weight=3]; 741[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];77 -> 741[label="",style="solid", color="blue", weight=9]; 741 -> 119[label="",style="solid", color="blue", weight=3]; 742[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];77 -> 742[label="",style="solid", color="blue", weight=9]; 742 -> 120[label="",style="solid", color="blue", weight=3]; 743[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];77 -> 743[label="",style="solid", color="blue", weight=9]; 743 -> 121[label="",style="solid", color="blue", weight=3]; 744[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];77 -> 744[label="",style="solid", color="blue", weight=9]; 744 -> 122[label="",style="solid", color="blue", weight=3]; 745[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];77 -> 745[label="",style="solid", color="blue", weight=9]; 745 -> 123[label="",style="solid", color="blue", weight=3]; 746[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];77 -> 746[label="",style="solid", color="blue", weight=9]; 746 -> 124[label="",style="solid", color="blue", weight=3]; 78 -> 217[label="",style="dashed", color="red", weight=0]; 78[label="xv30 == xv40 && xv31 == xv41",fontsize=16,color="magenta"];78 -> 218[label="",style="dashed", color="magenta", weight=3]; 78 -> 219[label="",style="dashed", color="magenta", weight=3]; 79[label="xv30 == xv40",fontsize=16,color="blue",shape="box"];747[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];79 -> 747[label="",style="solid", color="blue", weight=9]; 747 -> 135[label="",style="solid", color="blue", weight=3]; 748[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];79 -> 748[label="",style="solid", color="blue", weight=9]; 748 -> 136[label="",style="solid", color="blue", weight=3]; 749[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];79 -> 749[label="",style="solid", color="blue", weight=9]; 749 -> 137[label="",style="solid", color="blue", weight=3]; 750[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];79 -> 750[label="",style="solid", color="blue", weight=9]; 750 -> 138[label="",style="solid", color="blue", weight=3]; 751[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];79 -> 751[label="",style="solid", color="blue", weight=9]; 751 -> 139[label="",style="solid", color="blue", weight=3]; 752[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];79 -> 752[label="",style="solid", color="blue", weight=9]; 752 -> 140[label="",style="solid", color="blue", weight=3]; 753[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];79 -> 753[label="",style="solid", color="blue", weight=9]; 753 -> 141[label="",style="solid", color="blue", weight=3]; 754[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];79 -> 754[label="",style="solid", color="blue", weight=9]; 754 -> 142[label="",style="solid", color="blue", weight=3]; 755[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];79 -> 755[label="",style="solid", color="blue", weight=9]; 755 -> 143[label="",style="solid", color="blue", weight=3]; 756[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];79 -> 756[label="",style="solid", color="blue", weight=9]; 756 -> 144[label="",style="solid", color="blue", weight=3]; 757[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];79 -> 757[label="",style="solid", color="blue", weight=9]; 757 -> 145[label="",style="solid", color="blue", weight=3]; 758[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];79 -> 758[label="",style="solid", color="blue", weight=9]; 758 -> 146[label="",style="solid", color="blue", weight=3]; 759[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];79 -> 759[label="",style="solid", color="blue", weight=9]; 759 -> 147[label="",style="solid", color="blue", weight=3]; 760[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];79 -> 760[label="",style="solid", color="blue", weight=9]; 760 -> 148[label="",style="solid", color="blue", weight=3]; 80[label="False",fontsize=16,color="green",shape="box"];81[label="False",fontsize=16,color="green",shape="box"];82[label="xv30 == xv40",fontsize=16,color="blue",shape="box"];761[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];82 -> 761[label="",style="solid", color="blue", weight=9]; 761 -> 149[label="",style="solid", color="blue", weight=3]; 762[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];82 -> 762[label="",style="solid", color="blue", weight=9]; 762 -> 150[label="",style="solid", color="blue", weight=3]; 763[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];82 -> 763[label="",style="solid", color="blue", weight=9]; 763 -> 151[label="",style="solid", color="blue", weight=3]; 764[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];82 -> 764[label="",style="solid", color="blue", weight=9]; 764 -> 152[label="",style="solid", color="blue", weight=3]; 765[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];82 -> 765[label="",style="solid", color="blue", weight=9]; 765 -> 153[label="",style="solid", color="blue", weight=3]; 766[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];82 -> 766[label="",style="solid", color="blue", weight=9]; 766 -> 154[label="",style="solid", color="blue", weight=3]; 767[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];82 -> 767[label="",style="solid", color="blue", weight=9]; 767 -> 155[label="",style="solid", color="blue", weight=3]; 768[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];82 -> 768[label="",style="solid", color="blue", weight=9]; 768 -> 156[label="",style="solid", color="blue", weight=3]; 769[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];82 -> 769[label="",style="solid", color="blue", weight=9]; 769 -> 157[label="",style="solid", color="blue", weight=3]; 770[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];82 -> 770[label="",style="solid", color="blue", weight=9]; 770 -> 158[label="",style="solid", color="blue", weight=3]; 771[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];82 -> 771[label="",style="solid", color="blue", weight=9]; 771 -> 159[label="",style="solid", color="blue", weight=3]; 772[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];82 -> 772[label="",style="solid", color="blue", weight=9]; 772 -> 160[label="",style="solid", color="blue", weight=3]; 773[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];82 -> 773[label="",style="solid", color="blue", weight=9]; 773 -> 161[label="",style="solid", color="blue", weight=3]; 774[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];82 -> 774[label="",style="solid", color="blue", weight=9]; 774 -> 162[label="",style="solid", color="blue", weight=3]; 83 -> 217[label="",style="dashed", color="red", weight=0]; 83[label="xv30 == xv40 && xv31 == xv41",fontsize=16,color="magenta"];83 -> 220[label="",style="dashed", color="magenta", weight=3]; 83 -> 221[label="",style="dashed", color="magenta", weight=3]; 84[label="False",fontsize=16,color="green",shape="box"];85[label="False",fontsize=16,color="green",shape="box"];86[label="True",fontsize=16,color="green",shape="box"];87 -> 217[label="",style="dashed", color="red", weight=0]; 87[label="xv30 == xv40 && xv31 == xv41 && xv32 == xv42",fontsize=16,color="magenta"];87 -> 222[label="",style="dashed", color="magenta", weight=3]; 87 -> 223[label="",style="dashed", color="magenta", weight=3]; 88[label="primEqDouble (Double xv30 xv31) (Double xv40 xv41)",fontsize=16,color="black",shape="box"];88 -> 174[label="",style="solid", color="black", weight=3]; 89[label="primEqChar (Char xv30) (Char xv40)",fontsize=16,color="black",shape="box"];89 -> 175[label="",style="solid", color="black", weight=3]; 90[label="True",fontsize=16,color="green",shape="box"];91[label="False",fontsize=16,color="green",shape="box"];92[label="False",fontsize=16,color="green",shape="box"];93[label="False",fontsize=16,color="green",shape="box"];94[label="True",fontsize=16,color="green",shape="box"];95[label="False",fontsize=16,color="green",shape="box"];96[label="False",fontsize=16,color="green",shape="box"];97[label="False",fontsize=16,color="green",shape="box"];98[label="True",fontsize=16,color="green",shape="box"];99 -> 217[label="",style="dashed", color="red", weight=0]; 99[label="xv30 == xv40 && xv31 == xv41",fontsize=16,color="magenta"];99 -> 224[label="",style="dashed", color="magenta", weight=3]; 99 -> 225[label="",style="dashed", color="magenta", weight=3]; 100[label="True",fontsize=16,color="green",shape="box"];101[label="False",fontsize=16,color="green",shape="box"];102[label="False",fontsize=16,color="green",shape="box"];103[label="True",fontsize=16,color="green",shape="box"];104 -> 36[label="",style="dashed", color="red", weight=0]; 104[label="primEqInt xv30 xv40",fontsize=16,color="magenta"];104 -> 176[label="",style="dashed", color="magenta", weight=3]; 104 -> 177[label="",style="dashed", color="magenta", weight=3]; 105[label="primEqInt (Pos (Succ xv300)) xv4",fontsize=16,color="burlywood",shape="box"];775[label="xv4/Pos xv40",fontsize=10,color="white",style="solid",shape="box"];105 -> 775[label="",style="solid", color="burlywood", weight=9]; 775 -> 178[label="",style="solid", color="burlywood", weight=3]; 776[label="xv4/Neg xv40",fontsize=10,color="white",style="solid",shape="box"];105 -> 776[label="",style="solid", color="burlywood", weight=9]; 776 -> 179[label="",style="solid", color="burlywood", weight=3]; 106[label="primEqInt (Pos Zero) xv4",fontsize=16,color="burlywood",shape="box"];777[label="xv4/Pos xv40",fontsize=10,color="white",style="solid",shape="box"];106 -> 777[label="",style="solid", color="burlywood", weight=9]; 777 -> 180[label="",style="solid", color="burlywood", weight=3]; 778[label="xv4/Neg xv40",fontsize=10,color="white",style="solid",shape="box"];106 -> 778[label="",style="solid", color="burlywood", weight=9]; 778 -> 181[label="",style="solid", color="burlywood", weight=3]; 107[label="primEqInt (Neg (Succ xv300)) xv4",fontsize=16,color="burlywood",shape="box"];779[label="xv4/Pos xv40",fontsize=10,color="white",style="solid",shape="box"];107 -> 779[label="",style="solid", color="burlywood", weight=9]; 779 -> 182[label="",style="solid", color="burlywood", weight=3]; 780[label="xv4/Neg xv40",fontsize=10,color="white",style="solid",shape="box"];107 -> 780[label="",style="solid", color="burlywood", weight=9]; 780 -> 183[label="",style="solid", color="burlywood", weight=3]; 108[label="primEqInt (Neg Zero) xv4",fontsize=16,color="burlywood",shape="box"];781[label="xv4/Pos xv40",fontsize=10,color="white",style="solid",shape="box"];108 -> 781[label="",style="solid", color="burlywood", weight=9]; 781 -> 184[label="",style="solid", color="burlywood", weight=3]; 782[label="xv4/Neg xv40",fontsize=10,color="white",style="solid",shape="box"];108 -> 782[label="",style="solid", color="burlywood", weight=9]; 782 -> 185[label="",style="solid", color="burlywood", weight=3]; 109[label="True",fontsize=16,color="green",shape="box"];110[label="primEqFloat (Float xv30 xv31) (Float xv40 xv41)",fontsize=16,color="black",shape="box"];110 -> 186[label="",style="solid", color="black", weight=3]; 111 -> 5[label="",style="dashed", color="red", weight=0]; 111[label="xv30 == xv40",fontsize=16,color="magenta"];111 -> 187[label="",style="dashed", color="magenta", weight=3]; 111 -> 188[label="",style="dashed", color="magenta", weight=3]; 112 -> 6[label="",style="dashed", color="red", weight=0]; 112[label="xv30 == xv40",fontsize=16,color="magenta"];112 -> 189[label="",style="dashed", color="magenta", weight=3]; 112 -> 190[label="",style="dashed", color="magenta", weight=3]; 113 -> 7[label="",style="dashed", color="red", weight=0]; 113[label="xv30 == xv40",fontsize=16,color="magenta"];113 -> 191[label="",style="dashed", color="magenta", weight=3]; 113 -> 192[label="",style="dashed", color="magenta", weight=3]; 114 -> 8[label="",style="dashed", color="red", weight=0]; 114[label="xv30 == xv40",fontsize=16,color="magenta"];114 -> 193[label="",style="dashed", color="magenta", weight=3]; 114 -> 194[label="",style="dashed", color="magenta", weight=3]; 115 -> 9[label="",style="dashed", color="red", weight=0]; 115[label="xv30 == xv40",fontsize=16,color="magenta"];115 -> 195[label="",style="dashed", color="magenta", weight=3]; 115 -> 196[label="",style="dashed", color="magenta", weight=3]; 116 -> 10[label="",style="dashed", color="red", weight=0]; 116[label="xv30 == xv40",fontsize=16,color="magenta"];116 -> 197[label="",style="dashed", color="magenta", weight=3]; 116 -> 198[label="",style="dashed", color="magenta", weight=3]; 117 -> 11[label="",style="dashed", color="red", weight=0]; 117[label="xv30 == xv40",fontsize=16,color="magenta"];117 -> 199[label="",style="dashed", color="magenta", weight=3]; 117 -> 200[label="",style="dashed", color="magenta", weight=3]; 118 -> 12[label="",style="dashed", color="red", weight=0]; 118[label="xv30 == xv40",fontsize=16,color="magenta"];118 -> 201[label="",style="dashed", color="magenta", weight=3]; 118 -> 202[label="",style="dashed", color="magenta", weight=3]; 119 -> 13[label="",style="dashed", color="red", weight=0]; 119[label="xv30 == xv40",fontsize=16,color="magenta"];119 -> 203[label="",style="dashed", color="magenta", weight=3]; 119 -> 204[label="",style="dashed", color="magenta", weight=3]; 120 -> 14[label="",style="dashed", color="red", weight=0]; 120[label="xv30 == xv40",fontsize=16,color="magenta"];120 -> 205[label="",style="dashed", color="magenta", weight=3]; 120 -> 206[label="",style="dashed", color="magenta", weight=3]; 121 -> 15[label="",style="dashed", color="red", weight=0]; 121[label="xv30 == xv40",fontsize=16,color="magenta"];121 -> 207[label="",style="dashed", color="magenta", weight=3]; 121 -> 208[label="",style="dashed", color="magenta", weight=3]; 122 -> 16[label="",style="dashed", color="red", weight=0]; 122[label="xv30 == xv40",fontsize=16,color="magenta"];122 -> 209[label="",style="dashed", color="magenta", weight=3]; 122 -> 210[label="",style="dashed", color="magenta", weight=3]; 123 -> 17[label="",style="dashed", color="red", weight=0]; 123[label="xv30 == xv40",fontsize=16,color="magenta"];123 -> 211[label="",style="dashed", color="magenta", weight=3]; 123 -> 212[label="",style="dashed", color="magenta", weight=3]; 124 -> 18[label="",style="dashed", color="red", weight=0]; 124[label="xv30 == xv40",fontsize=16,color="magenta"];124 -> 213[label="",style="dashed", color="magenta", weight=3]; 124 -> 214[label="",style="dashed", color="magenta", weight=3]; 218[label="xv30 == xv40",fontsize=16,color="blue",shape="box"];783[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];218 -> 783[label="",style="solid", color="blue", weight=9]; 783 -> 230[label="",style="solid", color="blue", weight=3]; 784[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];218 -> 784[label="",style="solid", color="blue", weight=9]; 784 -> 231[label="",style="solid", color="blue", weight=3]; 219[label="xv31 == xv41",fontsize=16,color="blue",shape="box"];785[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];219 -> 785[label="",style="solid", color="blue", weight=9]; 785 -> 232[label="",style="solid", color="blue", weight=3]; 786[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];219 -> 786[label="",style="solid", color="blue", weight=9]; 786 -> 233[label="",style="solid", color="blue", weight=3]; 217[label="xv16 && xv17",fontsize=16,color="burlywood",shape="triangle"];787[label="xv16/False",fontsize=10,color="white",style="solid",shape="box"];217 -> 787[label="",style="solid", color="burlywood", weight=9]; 787 -> 234[label="",style="solid", color="burlywood", weight=3]; 788[label="xv16/True",fontsize=10,color="white",style="solid",shape="box"];217 -> 788[label="",style="solid", color="burlywood", weight=9]; 788 -> 235[label="",style="solid", color="burlywood", weight=3]; 135 -> 5[label="",style="dashed", color="red", weight=0]; 135[label="xv30 == xv40",fontsize=16,color="magenta"];135 -> 236[label="",style="dashed", color="magenta", weight=3]; 135 -> 237[label="",style="dashed", color="magenta", 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148[label="xv30 == xv40",fontsize=16,color="magenta"];148 -> 262[label="",style="dashed", color="magenta", weight=3]; 148 -> 263[label="",style="dashed", color="magenta", weight=3]; 149 -> 5[label="",style="dashed", color="red", weight=0]; 149[label="xv30 == xv40",fontsize=16,color="magenta"];149 -> 264[label="",style="dashed", color="magenta", weight=3]; 149 -> 265[label="",style="dashed", color="magenta", weight=3]; 150 -> 6[label="",style="dashed", color="red", weight=0]; 150[label="xv30 == xv40",fontsize=16,color="magenta"];150 -> 266[label="",style="dashed", color="magenta", weight=3]; 150 -> 267[label="",style="dashed", color="magenta", weight=3]; 151 -> 7[label="",style="dashed", color="red", weight=0]; 151[label="xv30 == xv40",fontsize=16,color="magenta"];151 -> 268[label="",style="dashed", color="magenta", weight=3]; 151 -> 269[label="",style="dashed", color="magenta", weight=3]; 152 -> 8[label="",style="dashed", color="red", weight=0]; 152[label="xv30 == 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xv40",fontsize=16,color="magenta"];156 -> 278[label="",style="dashed", color="magenta", weight=3]; 156 -> 279[label="",style="dashed", color="magenta", weight=3]; 157 -> 13[label="",style="dashed", color="red", weight=0]; 157[label="xv30 == xv40",fontsize=16,color="magenta"];157 -> 280[label="",style="dashed", color="magenta", weight=3]; 157 -> 281[label="",style="dashed", color="magenta", weight=3]; 158 -> 14[label="",style="dashed", color="red", weight=0]; 158[label="xv30 == xv40",fontsize=16,color="magenta"];158 -> 282[label="",style="dashed", color="magenta", weight=3]; 158 -> 283[label="",style="dashed", color="magenta", weight=3]; 159 -> 15[label="",style="dashed", color="red", weight=0]; 159[label="xv30 == xv40",fontsize=16,color="magenta"];159 -> 284[label="",style="dashed", color="magenta", weight=3]; 159 -> 285[label="",style="dashed", color="magenta", weight=3]; 160 -> 16[label="",style="dashed", color="red", weight=0]; 160[label="xv30 == xv40",fontsize=16,color="magenta"];160 -> 286[label="",style="dashed", color="magenta", weight=3]; 160 -> 287[label="",style="dashed", color="magenta", weight=3]; 161 -> 17[label="",style="dashed", color="red", weight=0]; 161[label="xv30 == xv40",fontsize=16,color="magenta"];161 -> 288[label="",style="dashed", color="magenta", weight=3]; 161 -> 289[label="",style="dashed", color="magenta", weight=3]; 162 -> 18[label="",style="dashed", color="red", weight=0]; 162[label="xv30 == xv40",fontsize=16,color="magenta"];162 -> 290[label="",style="dashed", color="magenta", weight=3]; 162 -> 291[label="",style="dashed", color="magenta", weight=3]; 220[label="xv30 == xv40",fontsize=16,color="blue",shape="box"];789[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];220 -> 789[label="",style="solid", color="blue", weight=9]; 789 -> 292[label="",style="solid", color="blue", weight=3]; 790[label="== :: (Ratio a) -> (Ratio a) -> 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weight=9]; 794 -> 297[label="",style="solid", color="blue", weight=3]; 795[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];220 -> 795[label="",style="solid", color="blue", weight=9]; 795 -> 298[label="",style="solid", color="blue", weight=3]; 796[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];220 -> 796[label="",style="solid", color="blue", weight=9]; 796 -> 299[label="",style="solid", color="blue", weight=3]; 797[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];220 -> 797[label="",style="solid", color="blue", weight=9]; 797 -> 300[label="",style="solid", color="blue", weight=3]; 798[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];220 -> 798[label="",style="solid", color="blue", weight=9]; 798 -> 301[label="",style="solid", color="blue", weight=3]; 799[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];220 -> 799[label="",style="solid", color="blue", weight=9]; 799 -> 302[label="",style="solid", color="blue", weight=3]; 800[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];220 -> 800[label="",style="solid", color="blue", weight=9]; 800 -> 303[label="",style="solid", color="blue", weight=3]; 801[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];220 -> 801[label="",style="solid", color="blue", weight=9]; 801 -> 304[label="",style="solid", color="blue", weight=3]; 802[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];220 -> 802[label="",style="solid", color="blue", weight=9]; 802 -> 305[label="",style="solid", color="blue", weight=3]; 221 -> 8[label="",style="dashed", color="red", weight=0]; 221[label="xv31 == xv41",fontsize=16,color="magenta"];221 -> 306[label="",style="dashed", color="magenta", weight=3]; 221 -> 307[label="",style="dashed", color="magenta", weight=3]; 222[label="xv30 == xv40",fontsize=16,color="blue",shape="box"];803[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];222 -> 803[label="",style="solid", color="blue", weight=9]; 803 -> 308[label="",style="solid", color="blue", weight=3]; 804[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];222 -> 804[label="",style="solid", color="blue", weight=9]; 804 -> 309[label="",style="solid", color="blue", weight=3]; 805[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];222 -> 805[label="",style="solid", color="blue", weight=9]; 805 -> 310[label="",style="solid", color="blue", weight=3]; 806[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];222 -> 806[label="",style="solid", color="blue", weight=9]; 806 -> 311[label="",style="solid", color="blue", weight=3]; 807[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];222 -> 807[label="",style="solid", color="blue", weight=9]; 807 -> 312[label="",style="solid", color="blue", weight=3]; 808[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];222 -> 808[label="",style="solid", color="blue", weight=9]; 808 -> 313[label="",style="solid", color="blue", weight=3]; 809[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];222 -> 809[label="",style="solid", color="blue", weight=9]; 809 -> 314[label="",style="solid", color="blue", weight=3]; 810[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];222 -> 810[label="",style="solid", color="blue", weight=9]; 810 -> 315[label="",style="solid", color="blue", weight=3]; 811[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];222 -> 811[label="",style="solid", color="blue", weight=9]; 811 -> 316[label="",style="solid", color="blue", weight=3]; 812[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];222 -> 812[label="",style="solid", color="blue", weight=9]; 812 -> 317[label="",style="solid", color="blue", weight=3]; 813[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];222 -> 813[label="",style="solid", color="blue", weight=9]; 813 -> 318[label="",style="solid", color="blue", weight=3]; 814[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];222 -> 814[label="",style="solid", color="blue", weight=9]; 814 -> 319[label="",style="solid", color="blue", weight=3]; 815[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];222 -> 815[label="",style="solid", color="blue", weight=9]; 815 -> 320[label="",style="solid", color="blue", weight=3]; 816[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];222 -> 816[label="",style="solid", color="blue", weight=9]; 816 -> 321[label="",style="solid", color="blue", weight=3]; 223 -> 217[label="",style="dashed", color="red", weight=0]; 223[label="xv31 == xv41 && xv32 == xv42",fontsize=16,color="magenta"];223 -> 322[label="",style="dashed", color="magenta", weight=3]; 223 -> 323[label="",style="dashed", color="magenta", weight=3]; 174 -> 16[label="",style="dashed", color="red", weight=0]; 174[label="xv30 * xv41 == xv31 * xv40",fontsize=16,color="magenta"];174 -> 324[label="",style="dashed", color="magenta", weight=3]; 174 -> 325[label="",style="dashed", color="magenta", weight=3]; 175[label="primEqNat xv30 xv40",fontsize=16,color="burlywood",shape="triangle"];817[label="xv30/Succ xv300",fontsize=10,color="white",style="solid",shape="box"];175 -> 817[label="",style="solid", color="burlywood", weight=9]; 817 -> 326[label="",style="solid", color="burlywood", weight=3]; 818[label="xv30/Zero",fontsize=10,color="white",style="solid",shape="box"];175 -> 818[label="",style="solid", color="burlywood", weight=9]; 818 -> 327[label="",style="solid", color="burlywood", weight=3]; 224[label="xv30 == xv40",fontsize=16,color="blue",shape="box"];819[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];224 -> 819[label="",style="solid", color="blue", weight=9]; 819 -> 328[label="",style="solid", color="blue", weight=3]; 820[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];224 -> 820[label="",style="solid", color="blue", weight=9]; 820 -> 329[label="",style="solid", color="blue", weight=3]; 821[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];224 -> 821[label="",style="solid", color="blue", weight=9]; 821 -> 330[label="",style="solid", color="blue", weight=3]; 822[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];224 -> 822[label="",style="solid", color="blue", weight=9]; 822 -> 331[label="",style="solid", color="blue", weight=3]; 823[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];224 -> 823[label="",style="solid", color="blue", weight=9]; 823 -> 332[label="",style="solid", color="blue", weight=3]; 824[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];224 -> 824[label="",style="solid", color="blue", weight=9]; 824 -> 333[label="",style="solid", color="blue", weight=3]; 825[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];224 -> 825[label="",style="solid", color="blue", weight=9]; 825 -> 334[label="",style="solid", color="blue", weight=3]; 826[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];224 -> 826[label="",style="solid", color="blue", weight=9]; 826 -> 335[label="",style="solid", color="blue", weight=3]; 827[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];224 -> 827[label="",style="solid", color="blue", weight=9]; 827 -> 336[label="",style="solid", color="blue", weight=3]; 828[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];224 -> 828[label="",style="solid", color="blue", weight=9]; 828 -> 337[label="",style="solid", color="blue", weight=3]; 829[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];224 -> 829[label="",style="solid", color="blue", weight=9]; 829 -> 338[label="",style="solid", color="blue", weight=3]; 830[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];224 -> 830[label="",style="solid", color="blue", weight=9]; 830 -> 339[label="",style="solid", color="blue", weight=3]; 831[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];224 -> 831[label="",style="solid", color="blue", weight=9]; 831 -> 340[label="",style="solid", color="blue", weight=3]; 832[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];224 -> 832[label="",style="solid", color="blue", weight=9]; 832 -> 341[label="",style="solid", color="blue", weight=3]; 225[label="xv31 == xv41",fontsize=16,color="blue",shape="box"];833[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];225 -> 833[label="",style="solid", color="blue", weight=9]; 833 -> 342[label="",style="solid", color="blue", weight=3]; 834[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];225 -> 834[label="",style="solid", color="blue", weight=9]; 834 -> 343[label="",style="solid", color="blue", weight=3]; 835[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];225 -> 835[label="",style="solid", color="blue", weight=9]; 835 -> 344[label="",style="solid", color="blue", weight=3]; 836[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];225 -> 836[label="",style="solid", color="blue", weight=9]; 836 -> 345[label="",style="solid", color="blue", weight=3]; 837[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];225 -> 837[label="",style="solid", color="blue", weight=9]; 837 -> 346[label="",style="solid", color="blue", weight=3]; 838[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];225 -> 838[label="",style="solid", color="blue", weight=9]; 838 -> 347[label="",style="solid", color="blue", weight=3]; 839[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];225 -> 839[label="",style="solid", color="blue", weight=9]; 839 -> 348[label="",style="solid", color="blue", weight=3]; 840[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];225 -> 840[label="",style="solid", color="blue", weight=9]; 840 -> 349[label="",style="solid", color="blue", weight=3]; 841[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];225 -> 841[label="",style="solid", color="blue", weight=9]; 841 -> 350[label="",style="solid", color="blue", weight=3]; 842[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];225 -> 842[label="",style="solid", color="blue", weight=9]; 842 -> 351[label="",style="solid", color="blue", weight=3]; 843[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];225 -> 843[label="",style="solid", color="blue", weight=9]; 843 -> 352[label="",style="solid", color="blue", weight=3]; 844[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];225 -> 844[label="",style="solid", color="blue", weight=9]; 844 -> 353[label="",style="solid", color="blue", weight=3]; 845[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];225 -> 845[label="",style="solid", color="blue", weight=9]; 845 -> 354[label="",style="solid", color="blue", weight=3]; 846[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];225 -> 846[label="",style="solid", color="blue", weight=9]; 846 -> 355[label="",style="solid", color="blue", weight=3]; 176[label="xv30",fontsize=16,color="green",shape="box"];177[label="xv40",fontsize=16,color="green",shape="box"];178[label="primEqInt (Pos (Succ xv300)) (Pos xv40)",fontsize=16,color="burlywood",shape="box"];847[label="xv40/Succ xv400",fontsize=10,color="white",style="solid",shape="box"];178 -> 847[label="",style="solid", color="burlywood", weight=9]; 847 -> 356[label="",style="solid", color="burlywood", weight=3]; 848[label="xv40/Zero",fontsize=10,color="white",style="solid",shape="box"];178 -> 848[label="",style="solid", color="burlywood", weight=9]; 848 -> 357[label="",style="solid", color="burlywood", weight=3]; 179[label="primEqInt (Pos (Succ xv300)) (Neg xv40)",fontsize=16,color="black",shape="box"];179 -> 358[label="",style="solid", color="black", weight=3]; 180[label="primEqInt (Pos Zero) (Pos xv40)",fontsize=16,color="burlywood",shape="box"];849[label="xv40/Succ xv400",fontsize=10,color="white",style="solid",shape="box"];180 -> 849[label="",style="solid", color="burlywood", weight=9]; 849 -> 359[label="",style="solid", color="burlywood", weight=3]; 850[label="xv40/Zero",fontsize=10,color="white",style="solid",shape="box"];180 -> 850[label="",style="solid", color="burlywood", weight=9]; 850 -> 360[label="",style="solid", color="burlywood", weight=3]; 181[label="primEqInt (Pos Zero) (Neg xv40)",fontsize=16,color="burlywood",shape="box"];851[label="xv40/Succ xv400",fontsize=10,color="white",style="solid",shape="box"];181 -> 851[label="",style="solid", color="burlywood", weight=9]; 851 -> 361[label="",style="solid", color="burlywood", weight=3]; 852[label="xv40/Zero",fontsize=10,color="white",style="solid",shape="box"];181 -> 852[label="",style="solid", color="burlywood", weight=9]; 852 -> 362[label="",style="solid", color="burlywood", weight=3]; 182[label="primEqInt (Neg (Succ xv300)) (Pos xv40)",fontsize=16,color="black",shape="box"];182 -> 363[label="",style="solid", color="black", weight=3]; 183[label="primEqInt (Neg (Succ xv300)) (Neg xv40)",fontsize=16,color="burlywood",shape="box"];853[label="xv40/Succ xv400",fontsize=10,color="white",style="solid",shape="box"];183 -> 853[label="",style="solid", color="burlywood", weight=9]; 853 -> 364[label="",style="solid", color="burlywood", weight=3]; 854[label="xv40/Zero",fontsize=10,color="white",style="solid",shape="box"];183 -> 854[label="",style="solid", color="burlywood", weight=9]; 854 -> 365[label="",style="solid", color="burlywood", weight=3]; 184[label="primEqInt (Neg Zero) (Pos xv40)",fontsize=16,color="burlywood",shape="box"];855[label="xv40/Succ xv400",fontsize=10,color="white",style="solid",shape="box"];184 -> 855[label="",style="solid", color="burlywood", weight=9]; 855 -> 366[label="",style="solid", color="burlywood", weight=3]; 856[label="xv40/Zero",fontsize=10,color="white",style="solid",shape="box"];184 -> 856[label="",style="solid", color="burlywood", weight=9]; 856 -> 367[label="",style="solid", color="burlywood", weight=3]; 185[label="primEqInt (Neg Zero) (Neg xv40)",fontsize=16,color="burlywood",shape="box"];857[label="xv40/Succ xv400",fontsize=10,color="white",style="solid",shape="box"];185 -> 857[label="",style="solid", color="burlywood", weight=9]; 857 -> 368[label="",style="solid", color="burlywood", weight=3]; 858[label="xv40/Zero",fontsize=10,color="white",style="solid",shape="box"];185 -> 858[label="",style="solid", color="burlywood", weight=9]; 858 -> 369[label="",style="solid", color="burlywood", weight=3]; 186 -> 16[label="",style="dashed", color="red", weight=0]; 186[label="xv30 * xv41 == xv31 * xv40",fontsize=16,color="magenta"];186 -> 370[label="",style="dashed", color="magenta", weight=3]; 186 -> 371[label="",style="dashed", color="magenta", weight=3]; 187[label="xv30",fontsize=16,color="green",shape="box"];188[label="xv40",fontsize=16,color="green",shape="box"];189[label="xv30",fontsize=16,color="green",shape="box"];190[label="xv40",fontsize=16,color="green",shape="box"];191[label="xv30",fontsize=16,color="green",shape="box"];192[label="xv40",fontsize=16,color="green",shape="box"];193[label="xv30",fontsize=16,color="green",shape="box"];194[label="xv40",fontsize=16,color="green",shape="box"];195[label="xv30",fontsize=16,color="green",shape="box"];196[label="xv40",fontsize=16,color="green",shape="box"];197[label="xv30",fontsize=16,color="green",shape="box"];198[label="xv40",fontsize=16,color="green",shape="box"];199[label="xv30",fontsize=16,color="green",shape="box"];200[label="xv40",fontsize=16,color="green",shape="box"];201[label="xv30",fontsize=16,color="green",shape="box"];202[label="xv40",fontsize=16,color="green",shape="box"];203[label="xv30",fontsize=16,color="green",shape="box"];204[label="xv40",fontsize=16,color="green",shape="box"];205[label="xv30",fontsize=16,color="green",shape="box"];206[label="xv40",fontsize=16,color="green",shape="box"];207[label="xv30",fontsize=16,color="green",shape="box"];208[label="xv40",fontsize=16,color="green",shape="box"];209[label="xv30",fontsize=16,color="green",shape="box"];210[label="xv40",fontsize=16,color="green",shape="box"];211[label="xv30",fontsize=16,color="green",shape="box"];212[label="xv40",fontsize=16,color="green",shape="box"];213[label="xv30",fontsize=16,color="green",shape="box"];214[label="xv40",fontsize=16,color="green",shape="box"];230 -> 15[label="",style="dashed", color="red", weight=0]; 230[label="xv30 == xv40",fontsize=16,color="magenta"];230 -> 372[label="",style="dashed", color="magenta", weight=3]; 230 -> 373[label="",style="dashed", color="magenta", weight=3]; 231 -> 16[label="",style="dashed", color="red", weight=0]; 231[label="xv30 == xv40",fontsize=16,color="magenta"];231 -> 374[label="",style="dashed", color="magenta", weight=3]; 231 -> 375[label="",style="dashed", color="magenta", weight=3]; 232 -> 15[label="",style="dashed", color="red", weight=0]; 232[label="xv31 == xv41",fontsize=16,color="magenta"];232 -> 376[label="",style="dashed", color="magenta", weight=3]; 232 -> 377[label="",style="dashed", color="magenta", weight=3]; 233 -> 16[label="",style="dashed", color="red", weight=0]; 233[label="xv31 == xv41",fontsize=16,color="magenta"];233 -> 378[label="",style="dashed", color="magenta", weight=3]; 233 -> 379[label="",style="dashed", color="magenta", weight=3]; 234[label="False && xv17",fontsize=16,color="black",shape="box"];234 -> 380[label="",style="solid", color="black", weight=3]; 235[label="True && xv17",fontsize=16,color="black",shape="box"];235 -> 381[label="",style="solid", color="black", weight=3]; 236[label="xv30",fontsize=16,color="green",shape="box"];237[label="xv40",fontsize=16,color="green",shape="box"];238[label="xv30",fontsize=16,color="green",shape="box"];239[label="xv40",fontsize=16,color="green",shape="box"];240[label="xv30",fontsize=16,color="green",shape="box"];241[label="xv40",fontsize=16,color="green",shape="box"];242[label="xv30",fontsize=16,color="green",shape="box"];243[label="xv40",fontsize=16,color="green",shape="box"];244[label="xv30",fontsize=16,color="green",shape="box"];245[label="xv40",fontsize=16,color="green",shape="box"];246[label="xv30",fontsize=16,color="green",shape="box"];247[label="xv40",fontsize=16,color="green",shape="box"];248[label="xv30",fontsize=16,color="green",shape="box"];249[label="xv40",fontsize=16,color="green",shape="box"];250[label="xv30",fontsize=16,color="green",shape="box"];251[label="xv40",fontsize=16,color="green",shape="box"];252[label="xv30",fontsize=16,color="green",shape="box"];253[label="xv40",fontsize=16,color="green",shape="box"];254[label="xv30",fontsize=16,color="green",shape="box"];255[label="xv40",fontsize=16,color="green",shape="box"];256[label="xv30",fontsize=16,color="green",shape="box"];257[label="xv40",fontsize=16,color="green",shape="box"];258[label="xv30",fontsize=16,color="green",shape="box"];259[label="xv40",fontsize=16,color="green",shape="box"];260[label="xv30",fontsize=16,color="green",shape="box"];261[label="xv40",fontsize=16,color="green",shape="box"];262[label="xv30",fontsize=16,color="green",shape="box"];263[label="xv40",fontsize=16,color="green",shape="box"];264[label="xv30",fontsize=16,color="green",shape="box"];265[label="xv40",fontsize=16,color="green",shape="box"];266[label="xv30",fontsize=16,color="green",shape="box"];267[label="xv40",fontsize=16,color="green",shape="box"];268[label="xv30",fontsize=16,color="green",shape="box"];269[label="xv40",fontsize=16,color="green",shape="box"];270[label="xv30",fontsize=16,color="green",shape="box"];271[label="xv40",fontsize=16,color="green",shape="box"];272[label="xv30",fontsize=16,color="green",shape="box"];273[label="xv40",fontsize=16,color="green",shape="box"];274[label="xv30",fontsize=16,color="green",shape="box"];275[label="xv40",fontsize=16,color="green",shape="box"];276[label="xv30",fontsize=16,color="green",shape="box"];277[label="xv40",fontsize=16,color="green",shape="box"];278[label="xv30",fontsize=16,color="green",shape="box"];279[label="xv40",fontsize=16,color="green",shape="box"];280[label="xv30",fontsize=16,color="green",shape="box"];281[label="xv40",fontsize=16,color="green",shape="box"];282[label="xv30",fontsize=16,color="green",shape="box"];283[label="xv40",fontsize=16,color="green",shape="box"];284[label="xv30",fontsize=16,color="green",shape="box"];285[label="xv40",fontsize=16,color="green",shape="box"];286[label="xv30",fontsize=16,color="green",shape="box"];287[label="xv40",fontsize=16,color="green",shape="box"];288[label="xv30",fontsize=16,color="green",shape="box"];289[label="xv40",fontsize=16,color="green",shape="box"];290[label="xv30",fontsize=16,color="green",shape="box"];291[label="xv40",fontsize=16,color="green",shape="box"];292 -> 5[label="",style="dashed", color="red", weight=0]; 292[label="xv30 == xv40",fontsize=16,color="magenta"];292 -> 382[label="",style="dashed", color="magenta", weight=3]; 292 -> 383[label="",style="dashed", color="magenta", weight=3]; 293 -> 6[label="",style="dashed", color="red", weight=0]; 293[label="xv30 == xv40",fontsize=16,color="magenta"];293 -> 384[label="",style="dashed", color="magenta", weight=3]; 293 -> 385[label="",style="dashed", color="magenta", weight=3]; 294 -> 7[label="",style="dashed", color="red", weight=0]; 294[label="xv30 == xv40",fontsize=16,color="magenta"];294 -> 386[label="",style="dashed", color="magenta", weight=3]; 294 -> 387[label="",style="dashed", color="magenta", weight=3]; 295 -> 8[label="",style="dashed", color="red", weight=0]; 295[label="xv30 == xv40",fontsize=16,color="magenta"];295 -> 388[label="",style="dashed", color="magenta", weight=3]; 295 -> 389[label="",style="dashed", color="magenta", weight=3]; 296 -> 9[label="",style="dashed", color="red", weight=0]; 296[label="xv30 == xv40",fontsize=16,color="magenta"];296 -> 390[label="",style="dashed", color="magenta", weight=3]; 296 -> 391[label="",style="dashed", color="magenta", weight=3]; 297 -> 10[label="",style="dashed", color="red", weight=0]; 297[label="xv30 == xv40",fontsize=16,color="magenta"];297 -> 392[label="",style="dashed", color="magenta", weight=3]; 297 -> 393[label="",style="dashed", color="magenta", weight=3]; 298 -> 11[label="",style="dashed", color="red", weight=0]; 298[label="xv30 == xv40",fontsize=16,color="magenta"];298 -> 394[label="",style="dashed", color="magenta", weight=3]; 298 -> 395[label="",style="dashed", color="magenta", weight=3]; 299 -> 12[label="",style="dashed", color="red", weight=0]; 299[label="xv30 == xv40",fontsize=16,color="magenta"];299 -> 396[label="",style="dashed", color="magenta", weight=3]; 299 -> 397[label="",style="dashed", color="magenta", weight=3]; 300 -> 13[label="",style="dashed", color="red", weight=0]; 300[label="xv30 == xv40",fontsize=16,color="magenta"];300 -> 398[label="",style="dashed", color="magenta", weight=3]; 300 -> 399[label="",style="dashed", color="magenta", weight=3]; 301 -> 14[label="",style="dashed", color="red", weight=0]; 301[label="xv30 == xv40",fontsize=16,color="magenta"];301 -> 400[label="",style="dashed", color="magenta", weight=3]; 301 -> 401[label="",style="dashed", color="magenta", weight=3]; 302 -> 15[label="",style="dashed", color="red", weight=0]; 302[label="xv30 == xv40",fontsize=16,color="magenta"];302 -> 402[label="",style="dashed", color="magenta", weight=3]; 302 -> 403[label="",style="dashed", color="magenta", weight=3]; 303 -> 16[label="",style="dashed", color="red", weight=0]; 303[label="xv30 == xv40",fontsize=16,color="magenta"];303 -> 404[label="",style="dashed", color="magenta", weight=3]; 303 -> 405[label="",style="dashed", color="magenta", weight=3]; 304 -> 17[label="",style="dashed", color="red", weight=0]; 304[label="xv30 == xv40",fontsize=16,color="magenta"];304 -> 406[label="",style="dashed", color="magenta", weight=3]; 304 -> 407[label="",style="dashed", color="magenta", weight=3]; 305 -> 18[label="",style="dashed", color="red", weight=0]; 305[label="xv30 == xv40",fontsize=16,color="magenta"];305 -> 408[label="",style="dashed", color="magenta", weight=3]; 305 -> 409[label="",style="dashed", color="magenta", weight=3]; 306[label="xv31",fontsize=16,color="green",shape="box"];307[label="xv41",fontsize=16,color="green",shape="box"];308 -> 5[label="",style="dashed", color="red", weight=0]; 308[label="xv30 == xv40",fontsize=16,color="magenta"];308 -> 410[label="",style="dashed", color="magenta", weight=3]; 308 -> 411[label="",style="dashed", color="magenta", weight=3]; 309 -> 6[label="",style="dashed", color="red", weight=0]; 309[label="xv30 == xv40",fontsize=16,color="magenta"];309 -> 412[label="",style="dashed", color="magenta", weight=3]; 309 -> 413[label="",style="dashed", color="magenta", weight=3]; 310 -> 7[label="",style="dashed", color="red", weight=0]; 310[label="xv30 == xv40",fontsize=16,color="magenta"];310 -> 414[label="",style="dashed", color="magenta", weight=3]; 310 -> 415[label="",style="dashed", color="magenta", weight=3]; 311 -> 8[label="",style="dashed", color="red", weight=0]; 311[label="xv30 == xv40",fontsize=16,color="magenta"];311 -> 416[label="",style="dashed", color="magenta", weight=3]; 311 -> 417[label="",style="dashed", color="magenta", weight=3]; 312 -> 9[label="",style="dashed", color="red", weight=0]; 312[label="xv30 == xv40",fontsize=16,color="magenta"];312 -> 418[label="",style="dashed", color="magenta", weight=3]; 312 -> 419[label="",style="dashed", color="magenta", weight=3]; 313 -> 10[label="",style="dashed", color="red", weight=0]; 313[label="xv30 == xv40",fontsize=16,color="magenta"];313 -> 420[label="",style="dashed", color="magenta", weight=3]; 313 -> 421[label="",style="dashed", color="magenta", weight=3]; 314 -> 11[label="",style="dashed", color="red", weight=0]; 314[label="xv30 == xv40",fontsize=16,color="magenta"];314 -> 422[label="",style="dashed", color="magenta", weight=3]; 314 -> 423[label="",style="dashed", color="magenta", weight=3]; 315 -> 12[label="",style="dashed", color="red", weight=0]; 315[label="xv30 == xv40",fontsize=16,color="magenta"];315 -> 424[label="",style="dashed", color="magenta", weight=3]; 315 -> 425[label="",style="dashed", color="magenta", weight=3]; 316 -> 13[label="",style="dashed", color="red", weight=0]; 316[label="xv30 == xv40",fontsize=16,color="magenta"];316 -> 426[label="",style="dashed", color="magenta", weight=3]; 316 -> 427[label="",style="dashed", color="magenta", weight=3]; 317 -> 14[label="",style="dashed", color="red", weight=0]; 317[label="xv30 == xv40",fontsize=16,color="magenta"];317 -> 428[label="",style="dashed", color="magenta", weight=3]; 317 -> 429[label="",style="dashed", color="magenta", weight=3]; 318 -> 15[label="",style="dashed", color="red", weight=0]; 318[label="xv30 == xv40",fontsize=16,color="magenta"];318 -> 430[label="",style="dashed", color="magenta", weight=3]; 318 -> 431[label="",style="dashed", color="magenta", weight=3]; 319 -> 16[label="",style="dashed", color="red", weight=0]; 319[label="xv30 == xv40",fontsize=16,color="magenta"];319 -> 432[label="",style="dashed", color="magenta", weight=3]; 319 -> 433[label="",style="dashed", color="magenta", weight=3]; 320 -> 17[label="",style="dashed", color="red", weight=0]; 320[label="xv30 == xv40",fontsize=16,color="magenta"];320 -> 434[label="",style="dashed", color="magenta", weight=3]; 320 -> 435[label="",style="dashed", color="magenta", weight=3]; 321 -> 18[label="",style="dashed", color="red", weight=0]; 321[label="xv30 == xv40",fontsize=16,color="magenta"];321 -> 436[label="",style="dashed", color="magenta", weight=3]; 321 -> 437[label="",style="dashed", color="magenta", weight=3]; 322[label="xv31 == xv41",fontsize=16,color="blue",shape="box"];859[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];322 -> 859[label="",style="solid", color="blue", weight=9]; 859 -> 438[label="",style="solid", color="blue", weight=3]; 860[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];322 -> 860[label="",style="solid", color="blue", weight=9]; 860 -> 439[label="",style="solid", color="blue", weight=3]; 861[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];322 -> 861[label="",style="solid", color="blue", weight=9]; 861 -> 440[label="",style="solid", color="blue", weight=3]; 862[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];322 -> 862[label="",style="solid", color="blue", weight=9]; 862 -> 441[label="",style="solid", color="blue", weight=3]; 863[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];322 -> 863[label="",style="solid", color="blue", weight=9]; 863 -> 442[label="",style="solid", color="blue", weight=3]; 864[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];322 -> 864[label="",style="solid", color="blue", weight=9]; 864 -> 443[label="",style="solid", color="blue", weight=3]; 865[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];322 -> 865[label="",style="solid", color="blue", weight=9]; 865 -> 444[label="",style="solid", color="blue", weight=3]; 866[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];322 -> 866[label="",style="solid", color="blue", weight=9]; 866 -> 445[label="",style="solid", color="blue", weight=3]; 867[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];322 -> 867[label="",style="solid", color="blue", weight=9]; 867 -> 446[label="",style="solid", color="blue", weight=3]; 868[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];322 -> 868[label="",style="solid", color="blue", weight=9]; 868 -> 447[label="",style="solid", color="blue", weight=3]; 869[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];322 -> 869[label="",style="solid", color="blue", weight=9]; 869 -> 448[label="",style="solid", color="blue", weight=3]; 870[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];322 -> 870[label="",style="solid", color="blue", weight=9]; 870 -> 449[label="",style="solid", color="blue", weight=3]; 871[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];322 -> 871[label="",style="solid", color="blue", weight=9]; 871 -> 450[label="",style="solid", color="blue", weight=3]; 872[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];322 -> 872[label="",style="solid", color="blue", weight=9]; 872 -> 451[label="",style="solid", color="blue", weight=3]; 323[label="xv32 == xv42",fontsize=16,color="blue",shape="box"];873[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];323 -> 873[label="",style="solid", color="blue", weight=9]; 873 -> 452[label="",style="solid", color="blue", weight=3]; 874[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];323 -> 874[label="",style="solid", color="blue", weight=9]; 874 -> 453[label="",style="solid", color="blue", weight=3]; 875[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];323 -> 875[label="",style="solid", color="blue", weight=9]; 875 -> 454[label="",style="solid", color="blue", weight=3]; 876[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];323 -> 876[label="",style="solid", color="blue", weight=9]; 876 -> 455[label="",style="solid", color="blue", weight=3]; 877[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];323 -> 877[label="",style="solid", color="blue", weight=9]; 877 -> 456[label="",style="solid", color="blue", weight=3]; 878[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];323 -> 878[label="",style="solid", color="blue", weight=9]; 878 -> 457[label="",style="solid", color="blue", weight=3]; 879[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];323 -> 879[label="",style="solid", color="blue", weight=9]; 879 -> 458[label="",style="solid", color="blue", weight=3]; 880[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];323 -> 880[label="",style="solid", color="blue", weight=9]; 880 -> 459[label="",style="solid", color="blue", weight=3]; 881[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];323 -> 881[label="",style="solid", color="blue", weight=9]; 881 -> 460[label="",style="solid", color="blue", weight=3]; 882[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];323 -> 882[label="",style="solid", color="blue", weight=9]; 882 -> 461[label="",style="solid", color="blue", weight=3]; 883[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];323 -> 883[label="",style="solid", color="blue", weight=9]; 883 -> 462[label="",style="solid", color="blue", weight=3]; 884[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];323 -> 884[label="",style="solid", color="blue", weight=9]; 884 -> 463[label="",style="solid", color="blue", weight=3]; 885[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];323 -> 885[label="",style="solid", color="blue", weight=9]; 885 -> 464[label="",style="solid", color="blue", weight=3]; 886[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];323 -> 886[label="",style="solid", color="blue", weight=9]; 886 -> 465[label="",style="solid", color="blue", weight=3]; 324[label="xv30 * xv41",fontsize=16,color="black",shape="triangle"];324 -> 466[label="",style="solid", color="black", weight=3]; 325 -> 324[label="",style="dashed", color="red", weight=0]; 325[label="xv31 * xv40",fontsize=16,color="magenta"];325 -> 467[label="",style="dashed", color="magenta", weight=3]; 325 -> 468[label="",style="dashed", color="magenta", weight=3]; 326[label="primEqNat (Succ xv300) xv40",fontsize=16,color="burlywood",shape="box"];887[label="xv40/Succ xv400",fontsize=10,color="white",style="solid",shape="box"];326 -> 887[label="",style="solid", color="burlywood", weight=9]; 887 -> 469[label="",style="solid", color="burlywood", weight=3]; 888[label="xv40/Zero",fontsize=10,color="white",style="solid",shape="box"];326 -> 888[label="",style="solid", color="burlywood", weight=9]; 888 -> 470[label="",style="solid", color="burlywood", weight=3]; 327[label="primEqNat Zero xv40",fontsize=16,color="burlywood",shape="box"];889[label="xv40/Succ xv400",fontsize=10,color="white",style="solid",shape="box"];327 -> 889[label="",style="solid", color="burlywood", weight=9]; 889 -> 471[label="",style="solid", color="burlywood", weight=3]; 890[label="xv40/Zero",fontsize=10,color="white",style="solid",shape="box"];327 -> 890[label="",style="solid", color="burlywood", weight=9]; 890 -> 472[label="",style="solid", color="burlywood", weight=3]; 328 -> 5[label="",style="dashed", color="red", weight=0]; 328[label="xv30 == xv40",fontsize=16,color="magenta"];328 -> 473[label="",style="dashed", color="magenta", weight=3]; 328 -> 474[label="",style="dashed", color="magenta", weight=3]; 329 -> 6[label="",style="dashed", color="red", weight=0]; 329[label="xv30 == xv40",fontsize=16,color="magenta"];329 -> 475[label="",style="dashed", color="magenta", weight=3]; 329 -> 476[label="",style="dashed", color="magenta", weight=3]; 330 -> 7[label="",style="dashed", color="red", weight=0]; 330[label="xv30 == xv40",fontsize=16,color="magenta"];330 -> 477[label="",style="dashed", color="magenta", weight=3]; 330 -> 478[label="",style="dashed", color="magenta", weight=3]; 331 -> 8[label="",style="dashed", color="red", weight=0]; 331[label="xv30 == xv40",fontsize=16,color="magenta"];331 -> 479[label="",style="dashed", color="magenta", weight=3]; 331 -> 480[label="",style="dashed", color="magenta", weight=3]; 332 -> 9[label="",style="dashed", color="red", weight=0]; 332[label="xv30 == xv40",fontsize=16,color="magenta"];332 -> 481[label="",style="dashed", color="magenta", weight=3]; 332 -> 482[label="",style="dashed", color="magenta", weight=3]; 333 -> 10[label="",style="dashed", color="red", weight=0]; 333[label="xv30 == xv40",fontsize=16,color="magenta"];333 -> 483[label="",style="dashed", color="magenta", weight=3]; 333 -> 484[label="",style="dashed", color="magenta", weight=3]; 334 -> 11[label="",style="dashed", color="red", weight=0]; 334[label="xv30 == xv40",fontsize=16,color="magenta"];334 -> 485[label="",style="dashed", color="magenta", weight=3]; 334 -> 486[label="",style="dashed", color="magenta", weight=3]; 335 -> 12[label="",style="dashed", color="red", weight=0]; 335[label="xv30 == xv40",fontsize=16,color="magenta"];335 -> 487[label="",style="dashed", color="magenta", weight=3]; 335 -> 488[label="",style="dashed", color="magenta", weight=3]; 336 -> 13[label="",style="dashed", color="red", weight=0]; 336[label="xv30 == xv40",fontsize=16,color="magenta"];336 -> 489[label="",style="dashed", color="magenta", weight=3]; 336 -> 490[label="",style="dashed", color="magenta", weight=3]; 337 -> 14[label="",style="dashed", color="red", weight=0]; 337[label="xv30 == xv40",fontsize=16,color="magenta"];337 -> 491[label="",style="dashed", color="magenta", weight=3]; 337 -> 492[label="",style="dashed", color="magenta", weight=3]; 338 -> 15[label="",style="dashed", color="red", weight=0]; 338[label="xv30 == xv40",fontsize=16,color="magenta"];338 -> 493[label="",style="dashed", color="magenta", weight=3]; 338 -> 494[label="",style="dashed", color="magenta", weight=3]; 339 -> 16[label="",style="dashed", color="red", weight=0]; 339[label="xv30 == xv40",fontsize=16,color="magenta"];339 -> 495[label="",style="dashed", color="magenta", weight=3]; 339 -> 496[label="",style="dashed", color="magenta", weight=3]; 340 -> 17[label="",style="dashed", color="red", weight=0]; 340[label="xv30 == xv40",fontsize=16,color="magenta"];340 -> 497[label="",style="dashed", color="magenta", weight=3]; 340 -> 498[label="",style="dashed", color="magenta", weight=3]; 341 -> 18[label="",style="dashed", color="red", weight=0]; 341[label="xv30 == xv40",fontsize=16,color="magenta"];341 -> 499[label="",style="dashed", color="magenta", weight=3]; 341 -> 500[label="",style="dashed", color="magenta", weight=3]; 342 -> 5[label="",style="dashed", color="red", weight=0]; 342[label="xv31 == xv41",fontsize=16,color="magenta"];342 -> 501[label="",style="dashed", color="magenta", weight=3]; 342 -> 502[label="",style="dashed", color="magenta", weight=3]; 343 -> 6[label="",style="dashed", color="red", weight=0]; 343[label="xv31 == xv41",fontsize=16,color="magenta"];343 -> 503[label="",style="dashed", color="magenta", weight=3]; 343 -> 504[label="",style="dashed", color="magenta", weight=3]; 344 -> 7[label="",style="dashed", color="red", weight=0]; 344[label="xv31 == xv41",fontsize=16,color="magenta"];344 -> 505[label="",style="dashed", color="magenta", weight=3]; 344 -> 506[label="",style="dashed", color="magenta", weight=3]; 345 -> 8[label="",style="dashed", color="red", weight=0]; 345[label="xv31 == xv41",fontsize=16,color="magenta"];345 -> 507[label="",style="dashed", color="magenta", weight=3]; 345 -> 508[label="",style="dashed", color="magenta", weight=3]; 346 -> 9[label="",style="dashed", color="red", weight=0]; 346[label="xv31 == xv41",fontsize=16,color="magenta"];346 -> 509[label="",style="dashed", color="magenta", weight=3]; 346 -> 510[label="",style="dashed", color="magenta", weight=3]; 347 -> 10[label="",style="dashed", color="red", weight=0]; 347[label="xv31 == xv41",fontsize=16,color="magenta"];347 -> 511[label="",style="dashed", color="magenta", weight=3]; 347 -> 512[label="",style="dashed", color="magenta", weight=3]; 348 -> 11[label="",style="dashed", color="red", weight=0]; 348[label="xv31 == xv41",fontsize=16,color="magenta"];348 -> 513[label="",style="dashed", color="magenta", weight=3]; 348 -> 514[label="",style="dashed", color="magenta", weight=3]; 349 -> 12[label="",style="dashed", color="red", weight=0]; 349[label="xv31 == xv41",fontsize=16,color="magenta"];349 -> 515[label="",style="dashed", color="magenta", weight=3]; 349 -> 516[label="",style="dashed", color="magenta", weight=3]; 350 -> 13[label="",style="dashed", color="red", weight=0]; 350[label="xv31 == xv41",fontsize=16,color="magenta"];350 -> 517[label="",style="dashed", color="magenta", weight=3]; 350 -> 518[label="",style="dashed", color="magenta", weight=3]; 351 -> 14[label="",style="dashed", color="red", weight=0]; 351[label="xv31 == xv41",fontsize=16,color="magenta"];351 -> 519[label="",style="dashed", color="magenta", weight=3]; 351 -> 520[label="",style="dashed", color="magenta", weight=3]; 352 -> 15[label="",style="dashed", color="red", weight=0]; 352[label="xv31 == xv41",fontsize=16,color="magenta"];352 -> 521[label="",style="dashed", color="magenta", weight=3]; 352 -> 522[label="",style="dashed", color="magenta", weight=3]; 353 -> 16[label="",style="dashed", color="red", weight=0]; 353[label="xv31 == xv41",fontsize=16,color="magenta"];353 -> 523[label="",style="dashed", color="magenta", weight=3]; 353 -> 524[label="",style="dashed", color="magenta", weight=3]; 354 -> 17[label="",style="dashed", color="red", weight=0]; 354[label="xv31 == xv41",fontsize=16,color="magenta"];354 -> 525[label="",style="dashed", color="magenta", weight=3]; 354 -> 526[label="",style="dashed", color="magenta", weight=3]; 355 -> 18[label="",style="dashed", color="red", weight=0]; 355[label="xv31 == xv41",fontsize=16,color="magenta"];355 -> 527[label="",style="dashed", color="magenta", weight=3]; 355 -> 528[label="",style="dashed", color="magenta", weight=3]; 356[label="primEqInt (Pos (Succ xv300)) (Pos (Succ xv400))",fontsize=16,color="black",shape="box"];356 -> 529[label="",style="solid", color="black", weight=3]; 357[label="primEqInt (Pos (Succ xv300)) (Pos Zero)",fontsize=16,color="black",shape="box"];357 -> 530[label="",style="solid", color="black", weight=3]; 358[label="False",fontsize=16,color="green",shape="box"];359[label="primEqInt (Pos Zero) (Pos (Succ xv400))",fontsize=16,color="black",shape="box"];359 -> 531[label="",style="solid", color="black", weight=3]; 360[label="primEqInt (Pos Zero) (Pos 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Zero)",fontsize=16,color="black",shape="box"];367 -> 538[label="",style="solid", color="black", weight=3]; 368[label="primEqInt (Neg Zero) (Neg (Succ xv400))",fontsize=16,color="black",shape="box"];368 -> 539[label="",style="solid", color="black", weight=3]; 369[label="primEqInt (Neg Zero) (Neg Zero)",fontsize=16,color="black",shape="box"];369 -> 540[label="",style="solid", color="black", weight=3]; 370 -> 324[label="",style="dashed", color="red", weight=0]; 370[label="xv30 * xv41",fontsize=16,color="magenta"];370 -> 541[label="",style="dashed", color="magenta", weight=3]; 370 -> 542[label="",style="dashed", color="magenta", weight=3]; 371 -> 324[label="",style="dashed", color="red", weight=0]; 371[label="xv31 * xv40",fontsize=16,color="magenta"];371 -> 543[label="",style="dashed", color="magenta", weight=3]; 371 -> 544[label="",style="dashed", color="magenta", weight=3]; 372[label="xv30",fontsize=16,color="green",shape="box"];373[label="xv40",fontsize=16,color="green",shape="box"];374[label="xv30",fontsize=16,color="green",shape="box"];375[label="xv40",fontsize=16,color="green",shape="box"];376[label="xv31",fontsize=16,color="green",shape="box"];377[label="xv41",fontsize=16,color="green",shape="box"];378[label="xv31",fontsize=16,color="green",shape="box"];379[label="xv41",fontsize=16,color="green",shape="box"];380[label="False",fontsize=16,color="green",shape="box"];381[label="xv17",fontsize=16,color="green",shape="box"];382[label="xv30",fontsize=16,color="green",shape="box"];383[label="xv40",fontsize=16,color="green",shape="box"];384[label="xv30",fontsize=16,color="green",shape="box"];385[label="xv40",fontsize=16,color="green",shape="box"];386[label="xv30",fontsize=16,color="green",shape="box"];387[label="xv40",fontsize=16,color="green",shape="box"];388[label="xv30",fontsize=16,color="green",shape="box"];389[label="xv40",fontsize=16,color="green",shape="box"];390[label="xv30",fontsize=16,color="green",shape="box"];391[label="xv40",fontsize=16,color="green",shape="box"];392[label="xv30",fontsize=16,color="green",shape="box"];393[label="xv40",fontsize=16,color="green",shape="box"];394[label="xv30",fontsize=16,color="green",shape="box"];395[label="xv40",fontsize=16,color="green",shape="box"];396[label="xv30",fontsize=16,color="green",shape="box"];397[label="xv40",fontsize=16,color="green",shape="box"];398[label="xv30",fontsize=16,color="green",shape="box"];399[label="xv40",fontsize=16,color="green",shape="box"];400[label="xv30",fontsize=16,color="green",shape="box"];401[label="xv40",fontsize=16,color="green",shape="box"];402[label="xv30",fontsize=16,color="green",shape="box"];403[label="xv40",fontsize=16,color="green",shape="box"];404[label="xv30",fontsize=16,color="green",shape="box"];405[label="xv40",fontsize=16,color="green",shape="box"];406[label="xv30",fontsize=16,color="green",shape="box"];407[label="xv40",fontsize=16,color="green",shape="box"];408[label="xv30",fontsize=16,color="green",shape="box"];409[label="xv40",fontsize=16,color="green",shape="box"];410[label="xv30",fontsize=16,color="green",shape="box"];411[label="xv40",fontsize=16,color="green",shape="box"];412[label="xv30",fontsize=16,color="green",shape="box"];413[label="xv40",fontsize=16,color="green",shape="box"];414[label="xv30",fontsize=16,color="green",shape="box"];415[label="xv40",fontsize=16,color="green",shape="box"];416[label="xv30",fontsize=16,color="green",shape="box"];417[label="xv40",fontsize=16,color="green",shape="box"];418[label="xv30",fontsize=16,color="green",shape="box"];419[label="xv40",fontsize=16,color="green",shape="box"];420[label="xv30",fontsize=16,color="green",shape="box"];421[label="xv40",fontsize=16,color="green",shape="box"];422[label="xv30",fontsize=16,color="green",shape="box"];423[label="xv40",fontsize=16,color="green",shape="box"];424[label="xv30",fontsize=16,color="green",shape="box"];425[label="xv40",fontsize=16,color="green",shape="box"];426[label="xv30",fontsize=16,color="green",shape="box"];427[label="xv40",fontsize=16,color="green",shape="box"];428[label="xv30",fontsize=16,color="green",shape="box"];429[label="xv40",fontsize=16,color="green",shape="box"];430[label="xv30",fontsize=16,color="green",shape="box"];431[label="xv40",fontsize=16,color="green",shape="box"];432[label="xv30",fontsize=16,color="green",shape="box"];433[label="xv40",fontsize=16,color="green",shape="box"];434[label="xv30",fontsize=16,color="green",shape="box"];435[label="xv40",fontsize=16,color="green",shape="box"];436[label="xv30",fontsize=16,color="green",shape="box"];437[label="xv40",fontsize=16,color="green",shape="box"];438 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color="red", weight=0]; 442[label="xv31 == xv41",fontsize=16,color="magenta"];442 -> 553[label="",style="dashed", color="magenta", weight=3]; 442 -> 554[label="",style="dashed", color="magenta", weight=3]; 443 -> 10[label="",style="dashed", color="red", weight=0]; 443[label="xv31 == xv41",fontsize=16,color="magenta"];443 -> 555[label="",style="dashed", color="magenta", weight=3]; 443 -> 556[label="",style="dashed", color="magenta", weight=3]; 444 -> 11[label="",style="dashed", color="red", weight=0]; 444[label="xv31 == xv41",fontsize=16,color="magenta"];444 -> 557[label="",style="dashed", color="magenta", weight=3]; 444 -> 558[label="",style="dashed", color="magenta", weight=3]; 445 -> 12[label="",style="dashed", color="red", weight=0]; 445[label="xv31 == xv41",fontsize=16,color="magenta"];445 -> 559[label="",style="dashed", color="magenta", weight=3]; 445 -> 560[label="",style="dashed", color="magenta", weight=3]; 446 -> 13[label="",style="dashed", color="red", weight=0]; 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xv41",fontsize=16,color="magenta"];450 -> 569[label="",style="dashed", color="magenta", weight=3]; 450 -> 570[label="",style="dashed", color="magenta", weight=3]; 451 -> 18[label="",style="dashed", color="red", weight=0]; 451[label="xv31 == xv41",fontsize=16,color="magenta"];451 -> 571[label="",style="dashed", color="magenta", weight=3]; 451 -> 572[label="",style="dashed", color="magenta", weight=3]; 452 -> 5[label="",style="dashed", color="red", weight=0]; 452[label="xv32 == xv42",fontsize=16,color="magenta"];452 -> 573[label="",style="dashed", color="magenta", weight=3]; 452 -> 574[label="",style="dashed", color="magenta", weight=3]; 453 -> 6[label="",style="dashed", color="red", weight=0]; 453[label="xv32 == xv42",fontsize=16,color="magenta"];453 -> 575[label="",style="dashed", color="magenta", weight=3]; 453 -> 576[label="",style="dashed", color="magenta", weight=3]; 454 -> 7[label="",style="dashed", color="red", weight=0]; 454[label="xv32 == xv42",fontsize=16,color="magenta"];454 -> 577[label="",style="dashed", color="magenta", weight=3]; 454 -> 578[label="",style="dashed", color="magenta", weight=3]; 455 -> 8[label="",style="dashed", color="red", weight=0]; 455[label="xv32 == xv42",fontsize=16,color="magenta"];455 -> 579[label="",style="dashed", color="magenta", weight=3]; 455 -> 580[label="",style="dashed", color="magenta", weight=3]; 456 -> 9[label="",style="dashed", color="red", weight=0]; 456[label="xv32 == xv42",fontsize=16,color="magenta"];456 -> 581[label="",style="dashed", color="magenta", weight=3]; 456 -> 582[label="",style="dashed", color="magenta", weight=3]; 457 -> 10[label="",style="dashed", color="red", weight=0]; 457[label="xv32 == xv42",fontsize=16,color="magenta"];457 -> 583[label="",style="dashed", color="magenta", weight=3]; 457 -> 584[label="",style="dashed", color="magenta", weight=3]; 458 -> 11[label="",style="dashed", color="red", weight=0]; 458[label="xv32 == xv42",fontsize=16,color="magenta"];458 -> 585[label="",style="dashed", color="magenta", weight=3]; 458 -> 586[label="",style="dashed", color="magenta", weight=3]; 459 -> 12[label="",style="dashed", color="red", weight=0]; 459[label="xv32 == xv42",fontsize=16,color="magenta"];459 -> 587[label="",style="dashed", color="magenta", weight=3]; 459 -> 588[label="",style="dashed", color="magenta", weight=3]; 460 -> 13[label="",style="dashed", color="red", weight=0]; 460[label="xv32 == xv42",fontsize=16,color="magenta"];460 -> 589[label="",style="dashed", color="magenta", weight=3]; 460 -> 590[label="",style="dashed", color="magenta", weight=3]; 461 -> 14[label="",style="dashed", color="red", weight=0]; 461[label="xv32 == xv42",fontsize=16,color="magenta"];461 -> 591[label="",style="dashed", color="magenta", weight=3]; 461 -> 592[label="",style="dashed", color="magenta", weight=3]; 462 -> 15[label="",style="dashed", color="red", weight=0]; 462[label="xv32 == xv42",fontsize=16,color="magenta"];462 -> 593[label="",style="dashed", color="magenta", weight=3]; 462 -> 594[label="",style="dashed", color="magenta", weight=3]; 463 -> 16[label="",style="dashed", color="red", weight=0]; 463[label="xv32 == xv42",fontsize=16,color="magenta"];463 -> 595[label="",style="dashed", color="magenta", weight=3]; 463 -> 596[label="",style="dashed", color="magenta", weight=3]; 464 -> 17[label="",style="dashed", color="red", weight=0]; 464[label="xv32 == xv42",fontsize=16,color="magenta"];464 -> 597[label="",style="dashed", color="magenta", weight=3]; 464 -> 598[label="",style="dashed", color="magenta", weight=3]; 465 -> 18[label="",style="dashed", color="red", weight=0]; 465[label="xv32 == xv42",fontsize=16,color="magenta"];465 -> 599[label="",style="dashed", color="magenta", weight=3]; 465 -> 600[label="",style="dashed", color="magenta", weight=3]; 466[label="primMulInt xv30 xv41",fontsize=16,color="burlywood",shape="box"];891[label="xv30/Pos xv300",fontsize=10,color="white",style="solid",shape="box"];466 -> 891[label="",style="solid", color="burlywood", weight=9]; 891 -> 601[label="",style="solid", color="burlywood", weight=3]; 892[label="xv30/Neg xv300",fontsize=10,color="white",style="solid",shape="box"];466 -> 892[label="",style="solid", color="burlywood", weight=9]; 892 -> 602[label="",style="solid", color="burlywood", weight=3]; 467[label="xv31",fontsize=16,color="green",shape="box"];468[label="xv40",fontsize=16,color="green",shape="box"];469[label="primEqNat (Succ xv300) (Succ xv400)",fontsize=16,color="black",shape="box"];469 -> 603[label="",style="solid", color="black", weight=3]; 470[label="primEqNat (Succ xv300) Zero",fontsize=16,color="black",shape="box"];470 -> 604[label="",style="solid", color="black", weight=3]; 471[label="primEqNat Zero (Succ xv400)",fontsize=16,color="black",shape="box"];471 -> 605[label="",style="solid", color="black", weight=3]; 472[label="primEqNat Zero Zero",fontsize=16,color="black",shape="box"];472 -> 606[label="",style="solid", color="black", weight=3]; 473[label="xv30",fontsize=16,color="green",shape="box"];474[label="xv40",fontsize=16,color="green",shape="box"];475[label="xv30",fontsize=16,color="green",shape="box"];476[label="xv40",fontsize=16,color="green",shape="box"];477[label="xv30",fontsize=16,color="green",shape="box"];478[label="xv40",fontsize=16,color="green",shape="box"];479[label="xv30",fontsize=16,color="green",shape="box"];480[label="xv40",fontsize=16,color="green",shape="box"];481[label="xv30",fontsize=16,color="green",shape="box"];482[label="xv40",fontsize=16,color="green",shape="box"];483[label="xv30",fontsize=16,color="green",shape="box"];484[label="xv40",fontsize=16,color="green",shape="box"];485[label="xv30",fontsize=16,color="green",shape="box"];486[label="xv40",fontsize=16,color="green",shape="box"];487[label="xv30",fontsize=16,color="green",shape="box"];488[label="xv40",fontsize=16,color="green",shape="box"];489[label="xv30",fontsize=16,color="green",shape="box"];490[label="xv40",fontsize=16,color="green",shape="box"];491[label="xv30",fontsize=16,color="green",shape="box"];492[label="xv40",fontsize=16,color="green",shape="box"];493[label="xv30",fontsize=16,color="green",shape="box"];494[label="xv40",fontsize=16,color="green",shape="box"];495[label="xv30",fontsize=16,color="green",shape="box"];496[label="xv40",fontsize=16,color="green",shape="box"];497[label="xv30",fontsize=16,color="green",shape="box"];498[label="xv40",fontsize=16,color="green",shape="box"];499[label="xv30",fontsize=16,color="green",shape="box"];500[label="xv40",fontsize=16,color="green",shape="box"];501[label="xv31",fontsize=16,color="green",shape="box"];502[label="xv41",fontsize=16,color="green",shape="box"];503[label="xv31",fontsize=16,color="green",shape="box"];504[label="xv41",fontsize=16,color="green",shape="box"];505[label="xv31",fontsize=16,color="green",shape="box"];506[label="xv41",fontsize=16,color="green",shape="box"];507[label="xv31",fontsize=16,color="green",shape="box"];508[label="xv41",fontsize=16,color="green",shape="box"];509[label="xv31",fontsize=16,color="green",shape="box"];510[label="xv41",fontsize=16,color="green",shape="box"];511[label="xv31",fontsize=16,color="green",shape="box"];512[label="xv41",fontsize=16,color="green",shape="box"];513[label="xv31",fontsize=16,color="green",shape="box"];514[label="xv41",fontsize=16,color="green",shape="box"];515[label="xv31",fontsize=16,color="green",shape="box"];516[label="xv41",fontsize=16,color="green",shape="box"];517[label="xv31",fontsize=16,color="green",shape="box"];518[label="xv41",fontsize=16,color="green",shape="box"];519[label="xv31",fontsize=16,color="green",shape="box"];520[label="xv41",fontsize=16,color="green",shape="box"];521[label="xv31",fontsize=16,color="green",shape="box"];522[label="xv41",fontsize=16,color="green",shape="box"];523[label="xv31",fontsize=16,color="green",shape="box"];524[label="xv41",fontsize=16,color="green",shape="box"];525[label="xv31",fontsize=16,color="green",shape="box"];526[label="xv41",fontsize=16,color="green",shape="box"];527[label="xv31",fontsize=16,color="green",shape="box"];528[label="xv41",fontsize=16,color="green",shape="box"];529 -> 175[label="",style="dashed", color="red", weight=0]; 529[label="primEqNat xv300 xv400",fontsize=16,color="magenta"];529 -> 607[label="",style="dashed", color="magenta", weight=3]; 529 -> 608[label="",style="dashed", color="magenta", weight=3]; 530[label="False",fontsize=16,color="green",shape="box"];531[label="False",fontsize=16,color="green",shape="box"];532[label="True",fontsize=16,color="green",shape="box"];533[label="False",fontsize=16,color="green",shape="box"];534[label="True",fontsize=16,color="green",shape="box"];535 -> 175[label="",style="dashed", color="red", weight=0]; 535[label="primEqNat xv300 xv400",fontsize=16,color="magenta"];535 -> 609[label="",style="dashed", color="magenta", weight=3]; 535 -> 610[label="",style="dashed", color="magenta", weight=3]; 536[label="False",fontsize=16,color="green",shape="box"];537[label="False",fontsize=16,color="green",shape="box"];538[label="True",fontsize=16,color="green",shape="box"];539[label="False",fontsize=16,color="green",shape="box"];540[label="True",fontsize=16,color="green",shape="box"];541[label="xv30",fontsize=16,color="green",shape="box"];542[label="xv41",fontsize=16,color="green",shape="box"];543[label="xv31",fontsize=16,color="green",shape="box"];544[label="xv40",fontsize=16,color="green",shape="box"];545[label="xv31",fontsize=16,color="green",shape="box"];546[label="xv41",fontsize=16,color="green",shape="box"];547[label="xv31",fontsize=16,color="green",shape="box"];548[label="xv41",fontsize=16,color="green",shape="box"];549[label="xv31",fontsize=16,color="green",shape="box"];550[label="xv41",fontsize=16,color="green",shape="box"];551[label="xv31",fontsize=16,color="green",shape="box"];552[label="xv41",fontsize=16,color="green",shape="box"];553[label="xv31",fontsize=16,color="green",shape="box"];554[label="xv41",fontsize=16,color="green",shape="box"];555[label="xv31",fontsize=16,color="green",shape="box"];556[label="xv41",fontsize=16,color="green",shape="box"];557[label="xv31",fontsize=16,color="green",shape="box"];558[label="xv41",fontsize=16,color="green",shape="box"];559[label="xv31",fontsize=16,color="green",shape="box"];560[label="xv41",fontsize=16,color="green",shape="box"];561[label="xv31",fontsize=16,color="green",shape="box"];562[label="xv41",fontsize=16,color="green",shape="box"];563[label="xv31",fontsize=16,color="green",shape="box"];564[label="xv41",fontsize=16,color="green",shape="box"];565[label="xv31",fontsize=16,color="green",shape="box"];566[label="xv41",fontsize=16,color="green",shape="box"];567[label="xv31",fontsize=16,color="green",shape="box"];568[label="xv41",fontsize=16,color="green",shape="box"];569[label="xv31",fontsize=16,color="green",shape="box"];570[label="xv41",fontsize=16,color="green",shape="box"];571[label="xv31",fontsize=16,color="green",shape="box"];572[label="xv41",fontsize=16,color="green",shape="box"];573[label="xv32",fontsize=16,color="green",shape="box"];574[label="xv42",fontsize=16,color="green",shape="box"];575[label="xv32",fontsize=16,color="green",shape="box"];576[label="xv42",fontsize=16,color="green",shape="box"];577[label="xv32",fontsize=16,color="green",shape="box"];578[label="xv42",fontsize=16,color="green",shape="box"];579[label="xv32",fontsize=16,color="green",shape="box"];580[label="xv42",fontsize=16,color="green",shape="box"];581[label="xv32",fontsize=16,color="green",shape="box"];582[label="xv42",fontsize=16,color="green",shape="box"];583[label="xv32",fontsize=16,color="green",shape="box"];584[label="xv42",fontsize=16,color="green",shape="box"];585[label="xv32",fontsize=16,color="green",shape="box"];586[label="xv42",fontsize=16,color="green",shape="box"];587[label="xv32",fontsize=16,color="green",shape="box"];588[label="xv42",fontsize=16,color="green",shape="box"];589[label="xv32",fontsize=16,color="green",shape="box"];590[label="xv42",fontsize=16,color="green",shape="box"];591[label="xv32",fontsize=16,color="green",shape="box"];592[label="xv42",fontsize=16,color="green",shape="box"];593[label="xv32",fontsize=16,color="green",shape="box"];594[label="xv42",fontsize=16,color="green",shape="box"];595[label="xv32",fontsize=16,color="green",shape="box"];596[label="xv42",fontsize=16,color="green",shape="box"];597[label="xv32",fontsize=16,color="green",shape="box"];598[label="xv42",fontsize=16,color="green",shape="box"];599[label="xv32",fontsize=16,color="green",shape="box"];600[label="xv42",fontsize=16,color="green",shape="box"];601[label="primMulInt 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175[label="",style="dashed", color="red", weight=0]; 603[label="primEqNat xv300 xv400",fontsize=16,color="magenta"];603 -> 615[label="",style="dashed", color="magenta", weight=3]; 603 -> 616[label="",style="dashed", color="magenta", weight=3]; 604[label="False",fontsize=16,color="green",shape="box"];605[label="False",fontsize=16,color="green",shape="box"];606[label="True",fontsize=16,color="green",shape="box"];607[label="xv300",fontsize=16,color="green",shape="box"];608[label="xv400",fontsize=16,color="green",shape="box"];609[label="xv300",fontsize=16,color="green",shape="box"];610[label="xv400",fontsize=16,color="green",shape="box"];611[label="primMulInt (Pos xv300) (Pos xv410)",fontsize=16,color="black",shape="box"];611 -> 617[label="",style="solid", color="black", weight=3]; 612[label="primMulInt (Pos xv300) (Neg xv410)",fontsize=16,color="black",shape="box"];612 -> 618[label="",style="solid", color="black", weight=3]; 613[label="primMulInt (Neg xv300) (Pos xv410)",fontsize=16,color="black",shape="box"];613 -> 619[label="",style="solid", color="black", weight=3]; 614[label="primMulInt (Neg xv300) (Neg xv410)",fontsize=16,color="black",shape="box"];614 -> 620[label="",style="solid", color="black", weight=3]; 615[label="xv300",fontsize=16,color="green",shape="box"];616[label="xv400",fontsize=16,color="green",shape="box"];617[label="Pos (primMulNat xv300 xv410)",fontsize=16,color="green",shape="box"];617 -> 621[label="",style="dashed", color="green", weight=3]; 618[label="Neg (primMulNat xv300 xv410)",fontsize=16,color="green",shape="box"];618 -> 622[label="",style="dashed", color="green", weight=3]; 619[label="Neg (primMulNat xv300 xv410)",fontsize=16,color="green",shape="box"];619 -> 623[label="",style="dashed", color="green", weight=3]; 620[label="Pos (primMulNat xv300 xv410)",fontsize=16,color="green",shape="box"];620 -> 624[label="",style="dashed", color="green", weight=3]; 621[label="primMulNat xv300 xv410",fontsize=16,color="burlywood",shape="triangle"];897[label="xv300/Succ xv3000",fontsize=10,color="white",style="solid",shape="box"];621 -> 897[label="",style="solid", color="burlywood", weight=9]; 897 -> 625[label="",style="solid", color="burlywood", weight=3]; 898[label="xv300/Zero",fontsize=10,color="white",style="solid",shape="box"];621 -> 898[label="",style="solid", color="burlywood", weight=9]; 898 -> 626[label="",style="solid", color="burlywood", weight=3]; 622 -> 621[label="",style="dashed", color="red", weight=0]; 622[label="primMulNat xv300 xv410",fontsize=16,color="magenta"];622 -> 627[label="",style="dashed", color="magenta", weight=3]; 623 -> 621[label="",style="dashed", color="red", weight=0]; 623[label="primMulNat xv300 xv410",fontsize=16,color="magenta"];623 -> 628[label="",style="dashed", color="magenta", weight=3]; 624 -> 621[label="",style="dashed", color="red", weight=0]; 624[label="primMulNat xv300 xv410",fontsize=16,color="magenta"];624 -> 629[label="",style="dashed", color="magenta", weight=3]; 624 -> 630[label="",style="dashed", color="magenta", weight=3]; 625[label="primMulNat (Succ xv3000) xv410",fontsize=16,color="burlywood",shape="box"];899[label="xv410/Succ xv4100",fontsize=10,color="white",style="solid",shape="box"];625 -> 899[label="",style="solid", color="burlywood", weight=9]; 899 -> 631[label="",style="solid", color="burlywood", weight=3]; 900[label="xv410/Zero",fontsize=10,color="white",style="solid",shape="box"];625 -> 900[label="",style="solid", color="burlywood", weight=9]; 900 -> 632[label="",style="solid", color="burlywood", weight=3]; 626[label="primMulNat Zero xv410",fontsize=16,color="burlywood",shape="box"];901[label="xv410/Succ xv4100",fontsize=10,color="white",style="solid",shape="box"];626 -> 901[label="",style="solid", color="burlywood", weight=9]; 901 -> 633[label="",style="solid", color="burlywood", weight=3]; 902[label="xv410/Zero",fontsize=10,color="white",style="solid",shape="box"];626 -> 902[label="",style="solid", color="burlywood", weight=9]; 902 -> 634[label="",style="solid", color="burlywood", weight=3]; 627[label="xv410",fontsize=16,color="green",shape="box"];628[label="xv300",fontsize=16,color="green",shape="box"];629[label="xv300",fontsize=16,color="green",shape="box"];630[label="xv410",fontsize=16,color="green",shape="box"];631[label="primMulNat (Succ xv3000) (Succ xv4100)",fontsize=16,color="black",shape="box"];631 -> 635[label="",style="solid", color="black", weight=3]; 632[label="primMulNat (Succ xv3000) Zero",fontsize=16,color="black",shape="box"];632 -> 636[label="",style="solid", color="black", weight=3]; 633[label="primMulNat Zero (Succ xv4100)",fontsize=16,color="black",shape="box"];633 -> 637[label="",style="solid", color="black", weight=3]; 634[label="primMulNat Zero Zero",fontsize=16,color="black",shape="box"];634 -> 638[label="",style="solid", color="black", weight=3]; 635 -> 639[label="",style="dashed", color="red", weight=0]; 635[label="primPlusNat (primMulNat xv3000 (Succ xv4100)) (Succ xv4100)",fontsize=16,color="magenta"];635 -> 640[label="",style="dashed", color="magenta", weight=3]; 636[label="Zero",fontsize=16,color="green",shape="box"];637[label="Zero",fontsize=16,color="green",shape="box"];638[label="Zero",fontsize=16,color="green",shape="box"];640 -> 621[label="",style="dashed", color="red", weight=0]; 640[label="primMulNat xv3000 (Succ xv4100)",fontsize=16,color="magenta"];640 -> 641[label="",style="dashed", color="magenta", weight=3]; 640 -> 642[label="",style="dashed", color="magenta", weight=3]; 639[label="primPlusNat xv18 (Succ xv4100)",fontsize=16,color="burlywood",shape="triangle"];903[label="xv18/Succ xv180",fontsize=10,color="white",style="solid",shape="box"];639 -> 903[label="",style="solid", color="burlywood", weight=9]; 903 -> 643[label="",style="solid", color="burlywood", weight=3]; 904[label="xv18/Zero",fontsize=10,color="white",style="solid",shape="box"];639 -> 904[label="",style="solid", color="burlywood", weight=9]; 904 -> 644[label="",style="solid", color="burlywood", weight=3]; 641[label="xv3000",fontsize=16,color="green",shape="box"];642[label="Succ xv4100",fontsize=16,color="green",shape="box"];643[label="primPlusNat (Succ xv180) (Succ xv4100)",fontsize=16,color="black",shape="box"];643 -> 645[label="",style="solid", color="black", weight=3]; 644[label="primPlusNat Zero (Succ xv4100)",fontsize=16,color="black",shape="box"];644 -> 646[label="",style="solid", color="black", weight=3]; 645[label="Succ (Succ (primPlusNat xv180 xv4100))",fontsize=16,color="green",shape="box"];645 -> 647[label="",style="dashed", color="green", weight=3]; 646[label="Succ xv4100",fontsize=16,color="green",shape="box"];647[label="primPlusNat xv180 xv4100",fontsize=16,color="burlywood",shape="triangle"];905[label="xv180/Succ xv1800",fontsize=10,color="white",style="solid",shape="box"];647 -> 905[label="",style="solid", color="burlywood", weight=9]; 905 -> 648[label="",style="solid", color="burlywood", weight=3]; 906[label="xv180/Zero",fontsize=10,color="white",style="solid",shape="box"];647 -> 906[label="",style="solid", color="burlywood", weight=9]; 906 -> 649[label="",style="solid", color="burlywood", weight=3]; 648[label="primPlusNat (Succ xv1800) xv4100",fontsize=16,color="burlywood",shape="box"];907[label="xv4100/Succ xv41000",fontsize=10,color="white",style="solid",shape="box"];648 -> 907[label="",style="solid", color="burlywood", weight=9]; 907 -> 650[label="",style="solid", color="burlywood", weight=3]; 908[label="xv4100/Zero",fontsize=10,color="white",style="solid",shape="box"];648 -> 908[label="",style="solid", color="burlywood", weight=9]; 908 -> 651[label="",style="solid", color="burlywood", weight=3]; 649[label="primPlusNat Zero xv4100",fontsize=16,color="burlywood",shape="box"];909[label="xv4100/Succ xv41000",fontsize=10,color="white",style="solid",shape="box"];649 -> 909[label="",style="solid", color="burlywood", weight=9]; 909 -> 652[label="",style="solid", color="burlywood", weight=3]; 910[label="xv4100/Zero",fontsize=10,color="white",style="solid",shape="box"];649 -> 910[label="",style="solid", color="burlywood", weight=9]; 910 -> 653[label="",style="solid", color="burlywood", weight=3]; 650[label="primPlusNat (Succ xv1800) (Succ xv41000)",fontsize=16,color="black",shape="box"];650 -> 654[label="",style="solid", color="black", weight=3]; 651[label="primPlusNat (Succ xv1800) Zero",fontsize=16,color="black",shape="box"];651 -> 655[label="",style="solid", color="black", weight=3]; 652[label="primPlusNat Zero (Succ xv41000)",fontsize=16,color="black",shape="box"];652 -> 656[label="",style="solid", color="black", weight=3]; 653[label="primPlusNat Zero Zero",fontsize=16,color="black",shape="box"];653 -> 657[label="",style="solid", color="black", weight=3]; 654[label="Succ (Succ (primPlusNat xv1800 xv41000))",fontsize=16,color="green",shape="box"];654 -> 658[label="",style="dashed", color="green", weight=3]; 655[label="Succ xv1800",fontsize=16,color="green",shape="box"];656[label="Succ xv41000",fontsize=16,color="green",shape="box"];657[label="Zero",fontsize=16,color="green",shape="box"];658 -> 647[label="",style="dashed", color="red", weight=0]; 658[label="primPlusNat xv1800 xv41000",fontsize=16,color="magenta"];658 -> 659[label="",style="dashed", color="magenta", weight=3]; 658 -> 660[label="",style="dashed", color="magenta", weight=3]; 659[label="xv41000",fontsize=16,color="green",shape="box"];660[label="xv1800",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(:(xv30, xv31), :(xv40, xv41), app(app(ty_Either, eg), eh)) -> new_esEs0(xv30, xv40, eg, eh) new_esEs1(:(xv30, xv31), :(xv40, xv41), app(ty_Maybe, ef)) -> new_esEs(xv30, xv40, ef) new_esEs3(@2(xv30, xv31), @2(xv40, xv41), app(app(ty_Either, bca), bcb), bbh) -> new_esEs0(xv30, xv40, bca, bcb) new_esEs3(@2(xv30, xv31), @2(xv40, xv41), bda, app(app(ty_Either, bdc), bdd)) -> new_esEs0(xv31, xv41, bdc, bdd) new_esEs(Just(xv30), Just(xv40), app(ty_[], bc)) -> new_esEs1(xv30, xv40, bc) new_esEs0(Left(xv30), Left(xv40), app(ty_Maybe, ca), cb) -> new_esEs(xv30, xv40, ca) new_esEs(Just(xv30), Just(xv40), app(app(ty_@2, bg), bh)) -> new_esEs3(xv30, xv40, bg, bh) new_esEs2(@3(xv30, xv31, xv32), @3(xv40, xv41, xv42), hd, gb, app(app(ty_@2, bbe), bbf)) -> new_esEs3(xv32, xv42, bbe, bbf) new_esEs0(Right(xv30), Right(xv40), dd, app(app(ty_Either, df), dg)) -> new_esEs0(xv30, xv40, df, dg) new_esEs(Just(xv30), Just(xv40), app(ty_Maybe, h)) -> new_esEs(xv30, xv40, h) new_esEs2(@3(xv30, xv31, xv32), @3(xv40, xv41, xv42), app(app(ty_@2, hb), hc), gb, gc) -> new_esEs3(xv30, xv40, hb, hc) new_esEs2(@3(xv30, xv31, xv32), @3(xv40, xv41, xv42), hd, app(app(ty_@2, bad), bae), gc) -> new_esEs3(xv31, xv41, bad, bae) new_esEs0(Left(xv30), Left(xv40), app(app(app(ty_@3, cf), cg), da), cb) -> new_esEs2(xv30, xv40, cf, cg, da) new_esEs2(@3(xv30, xv31, xv32), @3(xv40, xv41, xv42), hd, app(app(app(ty_@3, baa), bab), bac), gc) -> new_esEs2(xv31, xv41, baa, bab, bac) new_esEs3(@2(xv30, xv31), @2(xv40, xv41), bda, app(app(ty_@2, bea), beb)) -> new_esEs3(xv31, xv41, bea, beb) new_esEs0(Left(xv30), Left(xv40), app(app(ty_@2, db), dc), cb) -> new_esEs3(xv30, xv40, db, dc) new_esEs2(@3(xv30, xv31, xv32), @3(xv40, xv41, xv42), app(app(app(ty_@3, gg), gh), ha), gb, gc) -> new_esEs2(xv30, xv40, gg, gh, ha) new_esEs0(Right(xv30), Right(xv40), dd, app(app(ty_@2, ed), ee)) -> new_esEs3(xv30, xv40, ed, ee) new_esEs3(@2(xv30, xv31), @2(xv40, xv41), bda, app(ty_[], bde)) -> new_esEs1(xv31, xv41, bde) new_esEs2(@3(xv30, xv31, xv32), @3(xv40, xv41, xv42), hd, app(app(ty_Either, hf), hg), gc) -> new_esEs0(xv31, xv41, hf, hg) new_esEs0(Left(xv30), Left(xv40), app(app(ty_Either, cc), cd), cb) -> new_esEs0(xv30, xv40, cc, cd) new_esEs2(@3(xv30, xv31, xv32), @3(xv40, xv41, xv42), hd, gb, app(app(ty_Either, bag), bah)) -> new_esEs0(xv32, xv42, bag, bah) new_esEs2(@3(xv30, xv31, xv32), @3(xv40, xv41, xv42), app(app(ty_Either, gd), ge), gb, gc) -> new_esEs0(xv30, xv40, gd, ge) new_esEs3(@2(xv30, xv31), @2(xv40, xv41), app(app(ty_@2, bcg), bch), bbh) -> new_esEs3(xv30, xv40, bcg, bch) new_esEs(Just(xv30), Just(xv40), app(app(ty_Either, ba), bb)) -> new_esEs0(xv30, xv40, ba, bb) new_esEs(Just(xv30), Just(xv40), app(app(app(ty_@3, bd), be), bf)) -> new_esEs2(xv30, xv40, bd, be, bf) new_esEs1(:(xv30, xv31), :(xv40, xv41), fh) -> new_esEs1(xv31, xv41, fh) new_esEs3(@2(xv30, xv31), @2(xv40, xv41), app(app(app(ty_@3, bcd), bce), bcf), bbh) -> new_esEs2(xv30, xv40, bcd, bce, bcf) new_esEs0(Left(xv30), Left(xv40), app(ty_[], ce), cb) -> new_esEs1(xv30, xv40, ce) new_esEs1(:(xv30, xv31), :(xv40, xv41), app(ty_[], fa)) -> new_esEs1(xv30, xv40, fa) new_esEs3(@2(xv30, xv31), @2(xv40, xv41), bda, app(ty_Maybe, bdb)) -> new_esEs(xv31, xv41, bdb) new_esEs1(:(xv30, xv31), :(xv40, xv41), app(app(ty_@2, ff), fg)) -> new_esEs3(xv30, xv40, ff, fg) new_esEs0(Right(xv30), Right(xv40), dd, app(ty_[], dh)) -> new_esEs1(xv30, xv40, dh) new_esEs0(Right(xv30), Right(xv40), dd, app(app(app(ty_@3, ea), eb), ec)) -> new_esEs2(xv30, xv40, ea, eb, ec) new_esEs2(@3(xv30, xv31, xv32), @3(xv40, xv41, xv42), app(ty_[], gf), gb, gc) -> new_esEs1(xv30, xv40, gf) new_esEs2(@3(xv30, xv31, xv32), @3(xv40, xv41, xv42), hd, gb, app(ty_Maybe, baf)) -> new_esEs(xv32, xv42, baf) new_esEs1(:(xv30, xv31), :(xv40, xv41), app(app(app(ty_@3, fb), fc), fd)) -> new_esEs2(xv30, xv40, fb, fc, fd) new_esEs2(@3(xv30, xv31, xv32), @3(xv40, xv41, xv42), hd, gb, app(app(app(ty_@3, bbb), bbc), bbd)) -> new_esEs2(xv32, xv42, bbb, bbc, bbd) new_esEs3(@2(xv30, xv31), @2(xv40, xv41), app(ty_Maybe, bbg), bbh) -> new_esEs(xv30, xv40, bbg) new_esEs2(@3(xv30, xv31, xv32), @3(xv40, xv41, xv42), hd, app(ty_Maybe, he), gc) -> new_esEs(xv31, xv41, he) new_esEs2(@3(xv30, xv31, xv32), @3(xv40, xv41, xv42), hd, app(ty_[], hh), gc) -> new_esEs1(xv31, xv41, hh) new_esEs3(@2(xv30, xv31), @2(xv40, xv41), bda, app(app(app(ty_@3, bdf), bdg), bdh)) -> new_esEs2(xv31, xv41, bdf, bdg, bdh) new_esEs3(@2(xv30, xv31), @2(xv40, xv41), app(ty_[], bcc), bbh) -> new_esEs1(xv30, xv40, bcc) new_esEs0(Right(xv30), Right(xv40), dd, app(ty_Maybe, de)) -> new_esEs(xv30, xv40, de) new_esEs2(@3(xv30, xv31, xv32), @3(xv40, xv41, xv42), app(ty_Maybe, ga), gb, gc) -> new_esEs(xv30, xv40, ga) new_esEs2(@3(xv30, xv31, xv32), @3(xv40, xv41, xv42), hd, gb, app(ty_[], bba)) -> new_esEs1(xv32, xv42, bba) R is empty. Q is empty. We have to consider all minimal (P,Q,R)-chains. ---------------------------------------- (8) QDPSizeChangeProof (EQUIVALENT) By using the subterm criterion [SUBTERM_CRITERION] together with the size-change analysis [AAECC05] we have proven that there are no infinite chains for this DP problem. From the DPs we obtained the following set of size-change graphs: *new_esEs(Just(xv30), Just(xv40), app(ty_[], bc)) -> new_esEs1(xv30, xv40, bc) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs(Just(xv30), Just(xv40), app(app(ty_@2, bg), bh)) -> new_esEs3(xv30, xv40, bg, bh) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs(Just(xv30), Just(xv40), app(ty_Maybe, h)) -> new_esEs(xv30, xv40, h) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs1(:(xv30, xv31), :(xv40, xv41), app(app(ty_@2, ff), fg)) -> new_esEs3(xv30, xv40, ff, fg) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs1(:(xv30, xv31), :(xv40, xv41), app(ty_Maybe, ef)) -> new_esEs(xv30, xv40, ef) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs(Just(xv30), Just(xv40), app(app(ty_Either, ba), bb)) -> new_esEs0(xv30, xv40, ba, bb) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs(Just(xv30), Just(xv40), app(app(app(ty_@3, bd), be), bf)) -> new_esEs2(xv30, xv40, bd, be, bf) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 *new_esEs1(:(xv30, xv31), :(xv40, xv41), app(app(ty_Either, eg), eh)) -> new_esEs0(xv30, xv40, eg, eh) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs1(:(xv30, xv31), :(xv40, xv41), app(app(app(ty_@3, fb), fc), fd)) -> new_esEs2(xv30, xv40, fb, fc, fd) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 *new_esEs0(Left(xv30), Left(xv40), app(ty_[], ce), cb) -> new_esEs1(xv30, xv40, ce) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs0(Right(xv30), Right(xv40), dd, app(ty_[], dh)) -> new_esEs1(xv30, xv40, dh) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 *new_esEs0(Left(xv30), Left(xv40), app(app(ty_@2, db), dc), cb) -> new_esEs3(xv30, xv40, db, dc) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs0(Right(xv30), Right(xv40), dd, app(app(ty_@2, ed), ee)) -> new_esEs3(xv30, xv40, ed, ee) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 *new_esEs0(Left(xv30), Left(xv40), app(ty_Maybe, ca), cb) -> new_esEs(xv30, xv40, ca) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs0(Right(xv30), Right(xv40), dd, app(ty_Maybe, de)) -> new_esEs(xv30, xv40, de) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 *new_esEs0(Right(xv30), Right(xv40), dd, app(app(ty_Either, df), dg)) -> new_esEs0(xv30, xv40, df, dg) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 *new_esEs0(Left(xv30), Left(xv40), app(app(ty_Either, cc), cd), cb) -> new_esEs0(xv30, xv40, cc, cd) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs0(Left(xv30), Left(xv40), app(app(app(ty_@3, cf), cg), da), cb) -> new_esEs2(xv30, xv40, cf, cg, da) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 *new_esEs0(Right(xv30), Right(xv40), dd, app(app(app(ty_@3, ea), eb), ec)) -> new_esEs2(xv30, xv40, ea, eb, ec) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4, 4 > 5 *new_esEs1(:(xv30, xv31), :(xv40, xv41), fh) -> new_esEs1(xv31, xv41, fh) The graph contains the following edges 1 > 1, 2 > 2, 3 >= 3 *new_esEs1(:(xv30, xv31), :(xv40, xv41), app(ty_[], fa)) -> new_esEs1(xv30, xv40, fa) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs3(@2(xv30, xv31), @2(xv40, xv41), bda, app(ty_[], bde)) -> new_esEs1(xv31, xv41, bde) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 *new_esEs3(@2(xv30, xv31), @2(xv40, xv41), app(ty_[], bcc), bbh) -> new_esEs1(xv30, xv40, bcc) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs2(@3(xv30, xv31, xv32), @3(xv40, xv41, xv42), app(ty_[], gf), gb, gc) -> new_esEs1(xv30, xv40, gf) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs2(@3(xv30, xv31, xv32), @3(xv40, xv41, xv42), hd, app(ty_[], hh), gc) -> new_esEs1(xv31, xv41, hh) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 *new_esEs2(@3(xv30, xv31, xv32), @3(xv40, xv41, xv42), hd, gb, app(ty_[], bba)) -> new_esEs1(xv32, xv42, bba) The graph contains the following edges 1 > 1, 2 > 2, 5 > 3 *new_esEs3(@2(xv30, xv31), @2(xv40, xv41), bda, app(app(ty_@2, bea), beb)) -> new_esEs3(xv31, xv41, bea, beb) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 *new_esEs3(@2(xv30, xv31), @2(xv40, xv41), app(app(ty_@2, bcg), bch), bbh) -> new_esEs3(xv30, xv40, bcg, bch) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs2(@3(xv30, xv31, xv32), @3(xv40, xv41, xv42), hd, gb, app(app(ty_@2, bbe), bbf)) -> new_esEs3(xv32, xv42, bbe, bbf) The graph contains the following edges 1 > 1, 2 > 2, 5 > 3, 5 > 4 *new_esEs2(@3(xv30, xv31, xv32), @3(xv40, xv41, xv42), app(app(ty_@2, hb), hc), gb, gc) -> new_esEs3(xv30, xv40, hb, hc) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs2(@3(xv30, xv31, xv32), @3(xv40, xv41, xv42), hd, app(app(ty_@2, bad), bae), gc) -> new_esEs3(xv31, xv41, bad, bae) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 *new_esEs3(@2(xv30, xv31), @2(xv40, xv41), bda, app(ty_Maybe, bdb)) -> new_esEs(xv31, xv41, bdb) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 *new_esEs3(@2(xv30, xv31), @2(xv40, xv41), app(ty_Maybe, bbg), bbh) -> new_esEs(xv30, xv40, bbg) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs2(@3(xv30, xv31, xv32), @3(xv40, xv41, xv42), hd, gb, app(ty_Maybe, baf)) -> new_esEs(xv32, xv42, baf) The graph contains the following edges 1 > 1, 2 > 2, 5 > 3 *new_esEs2(@3(xv30, xv31, xv32), @3(xv40, xv41, xv42), hd, app(ty_Maybe, he), gc) -> new_esEs(xv31, xv41, he) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 *new_esEs2(@3(xv30, xv31, xv32), @3(xv40, xv41, xv42), app(ty_Maybe, ga), gb, gc) -> new_esEs(xv30, xv40, ga) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs3(@2(xv30, xv31), @2(xv40, xv41), app(app(ty_Either, bca), bcb), bbh) -> new_esEs0(xv30, xv40, bca, bcb) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs3(@2(xv30, xv31), @2(xv40, xv41), bda, app(app(ty_Either, bdc), bdd)) -> new_esEs0(xv31, xv41, bdc, bdd) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 *new_esEs2(@3(xv30, xv31, xv32), @3(xv40, xv41, xv42), hd, app(app(ty_Either, hf), hg), gc) -> new_esEs0(xv31, xv41, hf, hg) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 *new_esEs2(@3(xv30, xv31, xv32), @3(xv40, xv41, xv42), hd, gb, app(app(ty_Either, bag), bah)) -> new_esEs0(xv32, xv42, bag, bah) The graph contains the following edges 1 > 1, 2 > 2, 5 > 3, 5 > 4 *new_esEs2(@3(xv30, xv31, xv32), @3(xv40, xv41, xv42), app(app(ty_Either, gd), ge), gb, gc) -> new_esEs0(xv30, xv40, gd, ge) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs3(@2(xv30, xv31), @2(xv40, xv41), app(app(app(ty_@3, bcd), bce), bcf), bbh) -> new_esEs2(xv30, xv40, bcd, bce, bcf) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 *new_esEs3(@2(xv30, xv31), @2(xv40, xv41), bda, app(app(app(ty_@3, bdf), bdg), bdh)) -> new_esEs2(xv31, xv41, bdf, bdg, bdh) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4, 4 > 5 *new_esEs2(@3(xv30, xv31, xv32), @3(xv40, xv41, xv42), hd, app(app(app(ty_@3, baa), bab), bac), gc) -> new_esEs2(xv31, xv41, baa, bab, bac) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4, 4 > 5 *new_esEs2(@3(xv30, xv31, xv32), @3(xv40, xv41, xv42), app(app(app(ty_@3, gg), gh), ha), gb, gc) -> new_esEs2(xv30, xv40, gg, gh, ha) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 *new_esEs2(@3(xv30, xv31, xv32), @3(xv40, xv41, xv42), hd, gb, app(app(app(ty_@3, bbb), bbc), bbd)) -> new_esEs2(xv32, xv42, bbb, bbc, bbd) The graph contains the following edges 1 > 1, 2 > 2, 5 > 3, 5 > 4, 5 > 5 ---------------------------------------- (9) YES ---------------------------------------- (10) Obligation: Q DP problem: The TRS P consists of the following rules: new_primMulNat(Succ(xv3000), Succ(xv4100)) -> new_primMulNat(xv3000, Succ(xv4100)) 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(xv3000), Succ(xv4100)) -> new_primMulNat(xv3000, Succ(xv4100)) The graph contains the following edges 1 > 1, 2 >= 2 ---------------------------------------- (12) YES ---------------------------------------- (13) Obligation: Q DP problem: The TRS P consists of the following rules: new_primPlusNat(Succ(xv1800), Succ(xv41000)) -> new_primPlusNat(xv1800, xv41000) R is empty. Q is empty. We have to consider all minimal (P,Q,R)-chains. ---------------------------------------- (14) QDPSizeChangeProof (EQUIVALENT) By using the subterm criterion [SUBTERM_CRITERION] together with the size-change analysis [AAECC05] we have proven that there are no infinite chains for this DP problem. From the DPs we obtained the following set of size-change graphs: *new_primPlusNat(Succ(xv1800), Succ(xv41000)) -> new_primPlusNat(xv1800, xv41000) 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(xv300), Succ(xv400)) -> new_primEqNat(xv300, xv400) 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(xv300), Succ(xv400)) -> new_primEqNat(xv300, xv400) The graph contains the following edges 1 > 1, 2 > 2 ---------------------------------------- (18) YES