/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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty H-Termination with start terms of the given HASKELL could be proven: (0) HASKELL (1) BR [EQUIVALENT, 0 ms] (2) HASKELL (3) COR [EQUIVALENT, 0 ms] (4)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 (19) QDP (20) QDPSizeChangeProof [EQUIVALENT, 0 ms] (21) 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 "lookup k [] = Nothing; lookup k ((x,y) : xys)|k == xJust y|otherwiselookup k xys; " is transformed to "lookup k [] = lookup3 k []; lookup k ((x,y) : xys) = lookup2 k ((x,y) : xys); " "lookup0 k x y xys True = lookup k xys; " "lookup1 k x y xys True = Just y; lookup1 k x y xys False = lookup0 k x y xys otherwise; " "lookup2 k ((x,y) : xys) = lookup1 k x y xys (k == x); " "lookup3 k [] = Nothing; lookup3 xy xz = lookup2 xy xz; " 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="lookup",fontsize=16,color="grey",shape="box"];1 -> 3[label="",style="dashed", color="grey", weight=3]; 3[label="lookup yu3",fontsize=16,color="grey",shape="box"];3 -> 4[label="",style="dashed", color="grey", weight=3]; 4[label="lookup yu3 yu4",fontsize=16,color="burlywood",shape="triangle"];679[label="yu4/yu40 : yu41",fontsize=10,color="white",style="solid",shape="box"];4 -> 679[label="",style="solid", color="burlywood", weight=9]; 679 -> 5[label="",style="solid", color="burlywood", weight=3]; 680[label="yu4/[]",fontsize=10,color="white",style="solid",shape="box"];4 -> 680[label="",style="solid", color="burlywood", weight=9]; 680 -> 6[label="",style="solid", color="burlywood", weight=3]; 5[label="lookup yu3 (yu40 : yu41)",fontsize=16,color="burlywood",shape="box"];681[label="yu40/(yu400,yu401)",fontsize=10,color="white",style="solid",shape="box"];5 -> 681[label="",style="solid", color="burlywood", weight=9]; 681 -> 7[label="",style="solid", color="burlywood", weight=3]; 6[label="lookup yu3 []",fontsize=16,color="black",shape="box"];6 -> 8[label="",style="solid", color="black", weight=3]; 7[label="lookup yu3 ((yu400,yu401) : yu41)",fontsize=16,color="black",shape="box"];7 -> 9[label="",style="solid", color="black", weight=3]; 8[label="lookup3 yu3 []",fontsize=16,color="black",shape="box"];8 -> 10[label="",style="solid", color="black", weight=3]; 9[label="lookup2 yu3 ((yu400,yu401) : yu41)",fontsize=16,color="black",shape="box"];9 -> 11[label="",style="solid", color="black", weight=3]; 10[label="Nothing",fontsize=16,color="green",shape="box"];11 -> 12[label="",style="dashed", color="red", weight=0]; 11[label="lookup1 yu3 yu400 yu401 yu41 (yu3 == yu400)",fontsize=16,color="magenta"];11 -> 13[label="",style="dashed", color="magenta", weight=3]; 11 -> 14[label="",style="dashed", color="magenta", weight=3]; 11 -> 15[label="",style="dashed", color="magenta", weight=3]; 11 -> 16[label="",style="dashed", color="magenta", weight=3]; 11 -> 17[label="",style="dashed", color="magenta", weight=3]; 13[label="yu401",fontsize=16,color="green",shape="box"];14[label="yu3 == yu400",fontsize=16,color="blue",shape="box"];682[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];14 -> 682[label="",style="solid", color="blue", weight=9]; 682 -> 18[label="",style="solid", color="blue", weight=3]; 683[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];14 -> 683[label="",style="solid", color="blue", weight=9]; 683 -> 19[label="",style="solid", color="blue", weight=3]; 684[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];14 -> 684[label="",style="solid", color="blue", weight=9]; 684 -> 20[label="",style="solid", color="blue", weight=3]; 685[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];14 -> 685[label="",style="solid", color="blue", weight=9]; 685 -> 21[label="",style="solid", color="blue", weight=3]; 686[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];14 -> 686[label="",style="solid", color="blue", weight=9]; 686 -> 22[label="",style="solid", color="blue", weight=3]; 687[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];14 -> 687[label="",style="solid", color="blue", weight=9]; 687 -> 23[label="",style="solid", color="blue", weight=3]; 688[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];14 -> 688[label="",style="solid", color="blue", weight=9]; 688 -> 24[label="",style="solid", color="blue", weight=3]; 689[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];14 -> 689[label="",style="solid", color="blue", weight=9]; 689 -> 25[label="",style="solid", color="blue", weight=3]; 690[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];14 -> 690[label="",style="solid", color="blue", weight=9]; 690 -> 26[label="",style="solid", color="blue", weight=3]; 691[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];14 -> 691[label="",style="solid", color="blue", weight=9]; 691 -> 27[label="",style="solid", color="blue", weight=3]; 692[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];14 -> 692[label="",style="solid", color="blue", weight=9]; 692 -> 28[label="",style="solid", color="blue", weight=3]; 693[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];14 -> 693[label="",style="solid", color="blue", weight=9]; 693 -> 29[label="",style="solid", color="blue", weight=3]; 694[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];14 -> 694[label="",style="solid", color="blue", weight=9]; 694 -> 30[label="",style="solid", color="blue", weight=3]; 695[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];14 -> 695[label="",style="solid", color="blue", weight=9]; 695 -> 31[label="",style="solid", color="blue", weight=3]; 15[label="yu3",fontsize=16,color="green",shape="box"];16[label="yu400",fontsize=16,color="green",shape="box"];17[label="yu41",fontsize=16,color="green",shape="box"];12[label="lookup1 yu11 yu12 yu13 yu14 yu15",fontsize=16,color="burlywood",shape="triangle"];696[label="yu15/False",fontsize=10,color="white",style="solid",shape="box"];12 -> 696[label="",style="solid", color="burlywood", weight=9]; 696 -> 32[label="",style="solid", color="burlywood", weight=3]; 697[label="yu15/True",fontsize=10,color="white",style="solid",shape="box"];12 -> 697[label="",style="solid", color="burlywood", weight=9]; 697 -> 33[label="",style="solid", color="burlywood", weight=3]; 18[label="yu3 == yu400",fontsize=16,color="burlywood",shape="triangle"];698[label="yu3/Left yu30",fontsize=10,color="white",style="solid",shape="box"];18 -> 698[label="",style="solid", color="burlywood", weight=9]; 698 -> 34[label="",style="solid", color="burlywood", weight=3]; 699[label="yu3/Right yu30",fontsize=10,color="white",style="solid",shape="box"];18 -> 699[label="",style="solid", color="burlywood", weight=9]; 699 -> 35[label="",style="solid", color="burlywood", weight=3]; 19[label="yu3 == yu400",fontsize=16,color="burlywood",shape="triangle"];700[label="yu3/()",fontsize=10,color="white",style="solid",shape="box"];19 -> 700[label="",style="solid", color="burlywood", weight=9]; 700 -> 36[label="",style="solid", color="burlywood", weight=3]; 20[label="yu3 == yu400",fontsize=16,color="burlywood",shape="triangle"];701[label="yu3/False",fontsize=10,color="white",style="solid",shape="box"];20 -> 701[label="",style="solid", color="burlywood", weight=9]; 701 -> 37[label="",style="solid", color="burlywood", weight=3]; 702[label="yu3/True",fontsize=10,color="white",style="solid",shape="box"];20 -> 702[label="",style="solid", color="burlywood", weight=9]; 702 -> 38[label="",style="solid", color="burlywood", weight=3]; 21[label="yu3 == yu400",fontsize=16,color="burlywood",shape="triangle"];703[label="yu3/(yu30,yu31,yu32)",fontsize=10,color="white",style="solid",shape="box"];21 -> 703[label="",style="solid", color="burlywood", weight=9]; 703 -> 39[label="",style="solid", color="burlywood", weight=3]; 22[label="yu3 == yu400",fontsize=16,color="black",shape="triangle"];22 -> 40[label="",style="solid", color="black", weight=3]; 23[label="yu3 == yu400",fontsize=16,color="burlywood",shape="triangle"];704[label="yu3/yu30 : yu31",fontsize=10,color="white",style="solid",shape="box"];23 -> 704[label="",style="solid", color="burlywood", weight=9]; 704 -> 41[label="",style="solid", color="burlywood", weight=3]; 705[label="yu3/[]",fontsize=10,color="white",style="solid",shape="box"];23 -> 705[label="",style="solid", color="burlywood", weight=9]; 705 -> 42[label="",style="solid", color="burlywood", weight=3]; 24[label="yu3 == yu400",fontsize=16,color="burlywood",shape="triangle"];706[label="yu3/(yu30,yu31)",fontsize=10,color="white",style="solid",shape="box"];24 -> 706[label="",style="solid", color="burlywood", weight=9]; 706 -> 43[label="",style="solid", color="burlywood", weight=3]; 25[label="yu3 == yu400",fontsize=16,color="black",shape="triangle"];25 -> 44[label="",style="solid", color="black", weight=3]; 26[label="yu3 == yu400",fontsize=16,color="burlywood",shape="triangle"];707[label="yu3/Integer yu30",fontsize=10,color="white",style="solid",shape="box"];26 -> 707[label="",style="solid", color="burlywood", weight=9]; 707 -> 45[label="",style="solid", color="burlywood", weight=3]; 27[label="yu3 == yu400",fontsize=16,color="burlywood",shape="triangle"];708[label="yu3/LT",fontsize=10,color="white",style="solid",shape="box"];27 -> 708[label="",style="solid", color="burlywood", weight=9]; 708 -> 46[label="",style="solid", color="burlywood", weight=3]; 709[label="yu3/EQ",fontsize=10,color="white",style="solid",shape="box"];27 -> 709[label="",style="solid", color="burlywood", weight=9]; 709 -> 47[label="",style="solid", color="burlywood", weight=3]; 710[label="yu3/GT",fontsize=10,color="white",style="solid",shape="box"];27 -> 710[label="",style="solid", color="burlywood", weight=9]; 710 -> 48[label="",style="solid", color="burlywood", weight=3]; 28[label="yu3 == yu400",fontsize=16,color="black",shape="triangle"];28 -> 49[label="",style="solid", color="black", weight=3]; 29[label="yu3 == yu400",fontsize=16,color="black",shape="triangle"];29 -> 50[label="",style="solid", color="black", weight=3]; 30[label="yu3 == yu400",fontsize=16,color="burlywood",shape="triangle"];711[label="yu3/Nothing",fontsize=10,color="white",style="solid",shape="box"];30 -> 711[label="",style="solid", color="burlywood", weight=9]; 711 -> 51[label="",style="solid", color="burlywood", weight=3]; 712[label="yu3/Just yu30",fontsize=10,color="white",style="solid",shape="box"];30 -> 712[label="",style="solid", color="burlywood", weight=9]; 712 -> 52[label="",style="solid", color="burlywood", weight=3]; 31[label="yu3 == yu400",fontsize=16,color="burlywood",shape="triangle"];713[label="yu3/yu30 :% yu31",fontsize=10,color="white",style="solid",shape="box"];31 -> 713[label="",style="solid", color="burlywood", weight=9]; 713 -> 53[label="",style="solid", color="burlywood", weight=3]; 32[label="lookup1 yu11 yu12 yu13 yu14 False",fontsize=16,color="black",shape="box"];32 -> 54[label="",style="solid", color="black", weight=3]; 33[label="lookup1 yu11 yu12 yu13 yu14 True",fontsize=16,color="black",shape="box"];33 -> 55[label="",style="solid", color="black", weight=3]; 34[label="Left yu30 == yu400",fontsize=16,color="burlywood",shape="box"];714[label="yu400/Left yu4000",fontsize=10,color="white",style="solid",shape="box"];34 -> 714[label="",style="solid", color="burlywood", weight=9]; 714 -> 56[label="",style="solid", color="burlywood", weight=3]; 715[label="yu400/Right yu4000",fontsize=10,color="white",style="solid",shape="box"];34 -> 715[label="",style="solid", color="burlywood", weight=9]; 715 -> 57[label="",style="solid", color="burlywood", weight=3]; 35[label="Right yu30 == yu400",fontsize=16,color="burlywood",shape="box"];716[label="yu400/Left yu4000",fontsize=10,color="white",style="solid",shape="box"];35 -> 716[label="",style="solid", color="burlywood", weight=9]; 716 -> 58[label="",style="solid", color="burlywood", weight=3]; 717[label="yu400/Right yu4000",fontsize=10,color="white",style="solid",shape="box"];35 -> 717[label="",style="solid", color="burlywood", weight=9]; 717 -> 59[label="",style="solid", color="burlywood", weight=3]; 36[label="() == yu400",fontsize=16,color="burlywood",shape="box"];718[label="yu400/()",fontsize=10,color="white",style="solid",shape="box"];36 -> 718[label="",style="solid", color="burlywood", weight=9]; 718 -> 60[label="",style="solid", color="burlywood", weight=3]; 37[label="False == yu400",fontsize=16,color="burlywood",shape="box"];719[label="yu400/False",fontsize=10,color="white",style="solid",shape="box"];37 -> 719[label="",style="solid", color="burlywood", weight=9]; 719 -> 61[label="",style="solid", color="burlywood", weight=3]; 720[label="yu400/True",fontsize=10,color="white",style="solid",shape="box"];37 -> 720[label="",style="solid", color="burlywood", weight=9]; 720 -> 62[label="",style="solid", color="burlywood", weight=3]; 38[label="True == yu400",fontsize=16,color="burlywood",shape="box"];721[label="yu400/False",fontsize=10,color="white",style="solid",shape="box"];38 -> 721[label="",style="solid", color="burlywood", weight=9]; 721 -> 63[label="",style="solid", color="burlywood", weight=3]; 722[label="yu400/True",fontsize=10,color="white",style="solid",shape="box"];38 -> 722[label="",style="solid", color="burlywood", weight=9]; 722 -> 64[label="",style="solid", color="burlywood", weight=3]; 39[label="(yu30,yu31,yu32) == yu400",fontsize=16,color="burlywood",shape="box"];723[label="yu400/(yu4000,yu4001,yu4002)",fontsize=10,color="white",style="solid",shape="box"];39 -> 723[label="",style="solid", color="burlywood", weight=9]; 723 -> 65[label="",style="solid", color="burlywood", weight=3]; 40[label="primEqChar yu3 yu400",fontsize=16,color="burlywood",shape="box"];724[label="yu3/Char yu30",fontsize=10,color="white",style="solid",shape="box"];40 -> 724[label="",style="solid", color="burlywood", weight=9]; 724 -> 66[label="",style="solid", color="burlywood", weight=3]; 41[label="yu30 : yu31 == yu400",fontsize=16,color="burlywood",shape="box"];725[label="yu400/yu4000 : yu4001",fontsize=10,color="white",style="solid",shape="box"];41 -> 725[label="",style="solid", color="burlywood", weight=9]; 725 -> 67[label="",style="solid", color="burlywood", weight=3]; 726[label="yu400/[]",fontsize=10,color="white",style="solid",shape="box"];41 -> 726[label="",style="solid", color="burlywood", weight=9]; 726 -> 68[label="",style="solid", color="burlywood", weight=3]; 42[label="[] == yu400",fontsize=16,color="burlywood",shape="box"];727[label="yu400/yu4000 : yu4001",fontsize=10,color="white",style="solid",shape="box"];42 -> 727[label="",style="solid", color="burlywood", weight=9]; 727 -> 69[label="",style="solid", color="burlywood", weight=3]; 728[label="yu400/[]",fontsize=10,color="white",style="solid",shape="box"];42 -> 728[label="",style="solid", color="burlywood", weight=9]; 728 -> 70[label="",style="solid", color="burlywood", weight=3]; 43[label="(yu30,yu31) == yu400",fontsize=16,color="burlywood",shape="box"];729[label="yu400/(yu4000,yu4001)",fontsize=10,color="white",style="solid",shape="box"];43 -> 729[label="",style="solid", color="burlywood", weight=9]; 729 -> 71[label="",style="solid", color="burlywood", weight=3]; 44[label="primEqDouble yu3 yu400",fontsize=16,color="burlywood",shape="box"];730[label="yu3/Double yu30 yu31",fontsize=10,color="white",style="solid",shape="box"];44 -> 730[label="",style="solid", color="burlywood", weight=9]; 730 -> 72[label="",style="solid", color="burlywood", weight=3]; 45[label="Integer yu30 == yu400",fontsize=16,color="burlywood",shape="box"];731[label="yu400/Integer yu4000",fontsize=10,color="white",style="solid",shape="box"];45 -> 731[label="",style="solid", color="burlywood", weight=9]; 731 -> 73[label="",style="solid", color="burlywood", weight=3]; 46[label="LT == yu400",fontsize=16,color="burlywood",shape="box"];732[label="yu400/LT",fontsize=10,color="white",style="solid",shape="box"];46 -> 732[label="",style="solid", color="burlywood", weight=9]; 732 -> 74[label="",style="solid", color="burlywood", weight=3]; 733[label="yu400/EQ",fontsize=10,color="white",style="solid",shape="box"];46 -> 733[label="",style="solid", color="burlywood", weight=9]; 733 -> 75[label="",style="solid", color="burlywood", weight=3]; 734[label="yu400/GT",fontsize=10,color="white",style="solid",shape="box"];46 -> 734[label="",style="solid", color="burlywood", weight=9]; 734 -> 76[label="",style="solid", color="burlywood", weight=3]; 47[label="EQ == yu400",fontsize=16,color="burlywood",shape="box"];735[label="yu400/LT",fontsize=10,color="white",style="solid",shape="box"];47 -> 735[label="",style="solid", color="burlywood", weight=9]; 735 -> 77[label="",style="solid", color="burlywood", weight=3]; 736[label="yu400/EQ",fontsize=10,color="white",style="solid",shape="box"];47 -> 736[label="",style="solid", color="burlywood", weight=9]; 736 -> 78[label="",style="solid", color="burlywood", weight=3]; 737[label="yu400/GT",fontsize=10,color="white",style="solid",shape="box"];47 -> 737[label="",style="solid", color="burlywood", weight=9]; 737 -> 79[label="",style="solid", color="burlywood", weight=3]; 48[label="GT == yu400",fontsize=16,color="burlywood",shape="box"];738[label="yu400/LT",fontsize=10,color="white",style="solid",shape="box"];48 -> 738[label="",style="solid", color="burlywood", weight=9]; 738 -> 80[label="",style="solid", color="burlywood", weight=3]; 739[label="yu400/EQ",fontsize=10,color="white",style="solid",shape="box"];48 -> 739[label="",style="solid", color="burlywood", weight=9]; 739 -> 81[label="",style="solid", color="burlywood", weight=3]; 740[label="yu400/GT",fontsize=10,color="white",style="solid",shape="box"];48 -> 740[label="",style="solid", color="burlywood", weight=9]; 740 -> 82[label="",style="solid", color="burlywood", weight=3]; 49[label="primEqInt yu3 yu400",fontsize=16,color="burlywood",shape="triangle"];741[label="yu3/Pos yu30",fontsize=10,color="white",style="solid",shape="box"];49 -> 741[label="",style="solid", color="burlywood", weight=9]; 741 -> 83[label="",style="solid", color="burlywood", weight=3]; 742[label="yu3/Neg yu30",fontsize=10,color="white",style="solid",shape="box"];49 -> 742[label="",style="solid", color="burlywood", weight=9]; 742 -> 84[label="",style="solid", color="burlywood", weight=3]; 50[label="primEqFloat yu3 yu400",fontsize=16,color="burlywood",shape="box"];743[label="yu3/Float yu30 yu31",fontsize=10,color="white",style="solid",shape="box"];50 -> 743[label="",style="solid", color="burlywood", weight=9]; 743 -> 85[label="",style="solid", color="burlywood", weight=3]; 51[label="Nothing == yu400",fontsize=16,color="burlywood",shape="box"];744[label="yu400/Nothing",fontsize=10,color="white",style="solid",shape="box"];51 -> 744[label="",style="solid", color="burlywood", weight=9]; 744 -> 86[label="",style="solid", color="burlywood", weight=3]; 745[label="yu400/Just yu4000",fontsize=10,color="white",style="solid",shape="box"];51 -> 745[label="",style="solid", color="burlywood", weight=9]; 745 -> 87[label="",style="solid", color="burlywood", weight=3]; 52[label="Just yu30 == yu400",fontsize=16,color="burlywood",shape="box"];746[label="yu400/Nothing",fontsize=10,color="white",style="solid",shape="box"];52 -> 746[label="",style="solid", color="burlywood", weight=9]; 746 -> 88[label="",style="solid", color="burlywood", weight=3]; 747[label="yu400/Just yu4000",fontsize=10,color="white",style="solid",shape="box"];52 -> 747[label="",style="solid", color="burlywood", weight=9]; 747 -> 89[label="",style="solid", color="burlywood", weight=3]; 53[label="yu30 :% yu31 == yu400",fontsize=16,color="burlywood",shape="box"];748[label="yu400/yu4000 :% yu4001",fontsize=10,color="white",style="solid",shape="box"];53 -> 748[label="",style="solid", color="burlywood", weight=9]; 748 -> 90[label="",style="solid", color="burlywood", weight=3]; 54[label="lookup0 yu11 yu12 yu13 yu14 otherwise",fontsize=16,color="black",shape="box"];54 -> 91[label="",style="solid", color="black", weight=3]; 55[label="Just yu13",fontsize=16,color="green",shape="box"];56[label="Left yu30 == Left yu4000",fontsize=16,color="black",shape="box"];56 -> 92[label="",style="solid", color="black", weight=3]; 57[label="Left yu30 == Right yu4000",fontsize=16,color="black",shape="box"];57 -> 93[label="",style="solid", color="black", weight=3]; 58[label="Right yu30 == Left yu4000",fontsize=16,color="black",shape="box"];58 -> 94[label="",style="solid", color="black", weight=3]; 59[label="Right yu30 == Right yu4000",fontsize=16,color="black",shape="box"];59 -> 95[label="",style="solid", color="black", weight=3]; 60[label="() == ()",fontsize=16,color="black",shape="box"];60 -> 96[label="",style="solid", color="black", weight=3]; 61[label="False == False",fontsize=16,color="black",shape="box"];61 -> 97[label="",style="solid", color="black", weight=3]; 62[label="False == True",fontsize=16,color="black",shape="box"];62 -> 98[label="",style="solid", color="black", weight=3]; 63[label="True == False",fontsize=16,color="black",shape="box"];63 -> 99[label="",style="solid", color="black", weight=3]; 64[label="True == True",fontsize=16,color="black",shape="box"];64 -> 100[label="",style="solid", color="black", weight=3]; 65[label="(yu30,yu31,yu32) == (yu4000,yu4001,yu4002)",fontsize=16,color="black",shape="box"];65 -> 101[label="",style="solid", color="black", weight=3]; 66[label="primEqChar (Char yu30) yu400",fontsize=16,color="burlywood",shape="box"];749[label="yu400/Char yu4000",fontsize=10,color="white",style="solid",shape="box"];66 -> 749[label="",style="solid", color="burlywood", weight=9]; 749 -> 102[label="",style="solid", color="burlywood", weight=3]; 67[label="yu30 : yu31 == yu4000 : yu4001",fontsize=16,color="black",shape="box"];67 -> 103[label="",style="solid", color="black", weight=3]; 68[label="yu30 : yu31 == []",fontsize=16,color="black",shape="box"];68 -> 104[label="",style="solid", color="black", weight=3]; 69[label="[] == yu4000 : yu4001",fontsize=16,color="black",shape="box"];69 -> 105[label="",style="solid", color="black", weight=3]; 70[label="[] == []",fontsize=16,color="black",shape="box"];70 -> 106[label="",style="solid", color="black", weight=3]; 71[label="(yu30,yu31) == (yu4000,yu4001)",fontsize=16,color="black",shape="box"];71 -> 107[label="",style="solid", color="black", weight=3]; 72[label="primEqDouble (Double yu30 yu31) yu400",fontsize=16,color="burlywood",shape="box"];750[label="yu400/Double yu4000 yu4001",fontsize=10,color="white",style="solid",shape="box"];72 -> 750[label="",style="solid", color="burlywood", weight=9]; 750 -> 108[label="",style="solid", color="burlywood", weight=3]; 73[label="Integer yu30 == Integer yu4000",fontsize=16,color="black",shape="box"];73 -> 109[label="",style="solid", color="black", weight=3]; 74[label="LT == LT",fontsize=16,color="black",shape="box"];74 -> 110[label="",style="solid", color="black", weight=3]; 75[label="LT == EQ",fontsize=16,color="black",shape="box"];75 -> 111[label="",style="solid", color="black", weight=3]; 76[label="LT == GT",fontsize=16,color="black",shape="box"];76 -> 112[label="",style="solid", color="black", weight=3]; 77[label="EQ == LT",fontsize=16,color="black",shape="box"];77 -> 113[label="",style="solid", color="black", weight=3]; 78[label="EQ == EQ",fontsize=16,color="black",shape="box"];78 -> 114[label="",style="solid", color="black", weight=3]; 79[label="EQ == GT",fontsize=16,color="black",shape="box"];79 -> 115[label="",style="solid", color="black", weight=3]; 80[label="GT == LT",fontsize=16,color="black",shape="box"];80 -> 116[label="",style="solid", color="black", weight=3]; 81[label="GT == EQ",fontsize=16,color="black",shape="box"];81 -> 117[label="",style="solid", color="black", weight=3]; 82[label="GT == GT",fontsize=16,color="black",shape="box"];82 -> 118[label="",style="solid", color="black", weight=3]; 83[label="primEqInt (Pos yu30) yu400",fontsize=16,color="burlywood",shape="box"];751[label="yu30/Succ yu300",fontsize=10,color="white",style="solid",shape="box"];83 -> 751[label="",style="solid", color="burlywood", weight=9]; 751 -> 119[label="",style="solid", color="burlywood", weight=3]; 752[label="yu30/Zero",fontsize=10,color="white",style="solid",shape="box"];83 -> 752[label="",style="solid", color="burlywood", weight=9]; 752 -> 120[label="",style="solid", color="burlywood", weight=3]; 84[label="primEqInt (Neg yu30) yu400",fontsize=16,color="burlywood",shape="box"];753[label="yu30/Succ yu300",fontsize=10,color="white",style="solid",shape="box"];84 -> 753[label="",style="solid", color="burlywood", weight=9]; 753 -> 121[label="",style="solid", color="burlywood", weight=3]; 754[label="yu30/Zero",fontsize=10,color="white",style="solid",shape="box"];84 -> 754[label="",style="solid", color="burlywood", weight=9]; 754 -> 122[label="",style="solid", color="burlywood", weight=3]; 85[label="primEqFloat (Float yu30 yu31) yu400",fontsize=16,color="burlywood",shape="box"];755[label="yu400/Float yu4000 yu4001",fontsize=10,color="white",style="solid",shape="box"];85 -> 755[label="",style="solid", color="burlywood", weight=9]; 755 -> 123[label="",style="solid", color="burlywood", weight=3]; 86[label="Nothing == Nothing",fontsize=16,color="black",shape="box"];86 -> 124[label="",style="solid", color="black", weight=3]; 87[label="Nothing == Just yu4000",fontsize=16,color="black",shape="box"];87 -> 125[label="",style="solid", color="black", weight=3]; 88[label="Just yu30 == Nothing",fontsize=16,color="black",shape="box"];88 -> 126[label="",style="solid", color="black", weight=3]; 89[label="Just yu30 == Just yu4000",fontsize=16,color="black",shape="box"];89 -> 127[label="",style="solid", color="black", weight=3]; 90[label="yu30 :% yu31 == yu4000 :% yu4001",fontsize=16,color="black",shape="box"];90 -> 128[label="",style="solid", color="black", weight=3]; 91[label="lookup0 yu11 yu12 yu13 yu14 True",fontsize=16,color="black",shape="box"];91 -> 129[label="",style="solid", color="black", weight=3]; 92[label="yu30 == yu4000",fontsize=16,color="blue",shape="box"];756[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];92 -> 756[label="",style="solid", color="blue", weight=9]; 756 -> 130[label="",style="solid", color="blue", weight=3]; 757[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];92 -> 757[label="",style="solid", color="blue", weight=9]; 757 -> 131[label="",style="solid", color="blue", weight=3]; 758[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];92 -> 758[label="",style="solid", color="blue", weight=9]; 758 -> 132[label="",style="solid", color="blue", weight=3]; 759[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];92 -> 759[label="",style="solid", color="blue", weight=9]; 759 -> 133[label="",style="solid", color="blue", weight=3]; 760[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];92 -> 760[label="",style="solid", color="blue", weight=9]; 760 -> 134[label="",style="solid", color="blue", weight=3]; 761[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];92 -> 761[label="",style="solid", color="blue", weight=9]; 761 -> 135[label="",style="solid", color="blue", weight=3]; 762[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];92 -> 762[label="",style="solid", color="blue", weight=9]; 762 -> 136[label="",style="solid", color="blue", weight=3]; 763[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];92 -> 763[label="",style="solid", color="blue", weight=9]; 763 -> 137[label="",style="solid", color="blue", weight=3]; 764[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];92 -> 764[label="",style="solid", color="blue", weight=9]; 764 -> 138[label="",style="solid", color="blue", weight=3]; 765[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];92 -> 765[label="",style="solid", color="blue", weight=9]; 765 -> 139[label="",style="solid", color="blue", weight=3]; 766[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];92 -> 766[label="",style="solid", color="blue", weight=9]; 766 -> 140[label="",style="solid", color="blue", weight=3]; 767[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];92 -> 767[label="",style="solid", color="blue", weight=9]; 767 -> 141[label="",style="solid", color="blue", weight=3]; 768[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];92 -> 768[label="",style="solid", color="blue", weight=9]; 768 -> 142[label="",style="solid", color="blue", weight=3]; 769[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];92 -> 769[label="",style="solid", color="blue", weight=9]; 769 -> 143[label="",style="solid", color="blue", weight=3]; 93[label="False",fontsize=16,color="green",shape="box"];94[label="False",fontsize=16,color="green",shape="box"];95[label="yu30 == yu4000",fontsize=16,color="blue",shape="box"];770[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];95 -> 770[label="",style="solid", color="blue", weight=9]; 770 -> 144[label="",style="solid", color="blue", weight=3]; 771[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];95 -> 771[label="",style="solid", color="blue", weight=9]; 771 -> 145[label="",style="solid", color="blue", weight=3]; 772[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];95 -> 772[label="",style="solid", color="blue", weight=9]; 772 -> 146[label="",style="solid", color="blue", weight=3]; 773[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];95 -> 773[label="",style="solid", color="blue", weight=9]; 773 -> 147[label="",style="solid", color="blue", weight=3]; 774[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];95 -> 774[label="",style="solid", color="blue", weight=9]; 774 -> 148[label="",style="solid", color="blue", weight=3]; 775[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];95 -> 775[label="",style="solid", color="blue", weight=9]; 775 -> 149[label="",style="solid", color="blue", weight=3]; 776[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];95 -> 776[label="",style="solid", color="blue", weight=9]; 776 -> 150[label="",style="solid", color="blue", weight=3]; 777[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];95 -> 777[label="",style="solid", color="blue", weight=9]; 777 -> 151[label="",style="solid", color="blue", weight=3]; 778[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];95 -> 778[label="",style="solid", color="blue", weight=9]; 778 -> 152[label="",style="solid", color="blue", weight=3]; 779[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];95 -> 779[label="",style="solid", color="blue", weight=9]; 779 -> 153[label="",style="solid", color="blue", weight=3]; 780[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];95 -> 780[label="",style="solid", color="blue", weight=9]; 780 -> 154[label="",style="solid", color="blue", weight=3]; 781[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];95 -> 781[label="",style="solid", color="blue", weight=9]; 781 -> 155[label="",style="solid", color="blue", weight=3]; 782[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];95 -> 782[label="",style="solid", color="blue", weight=9]; 782 -> 156[label="",style="solid", color="blue", weight=3]; 783[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];95 -> 783[label="",style="solid", color="blue", weight=9]; 783 -> 157[label="",style="solid", color="blue", weight=3]; 96[label="True",fontsize=16,color="green",shape="box"];97[label="True",fontsize=16,color="green",shape="box"];98[label="False",fontsize=16,color="green",shape="box"];99[label="False",fontsize=16,color="green",shape="box"];100[label="True",fontsize=16,color="green",shape="box"];101 -> 263[label="",style="dashed", color="red", weight=0]; 101[label="yu30 == yu4000 && yu31 == yu4001 && yu32 == yu4002",fontsize=16,color="magenta"];101 -> 264[label="",style="dashed", color="magenta", weight=3]; 101 -> 265[label="",style="dashed", color="magenta", weight=3]; 102[label="primEqChar (Char yu30) (Char yu4000)",fontsize=16,color="black",shape="box"];102 -> 164[label="",style="solid", color="black", weight=3]; 103 -> 263[label="",style="dashed", color="red", weight=0]; 103[label="yu30 == yu4000 && yu31 == yu4001",fontsize=16,color="magenta"];103 -> 266[label="",style="dashed", color="magenta", weight=3]; 103 -> 267[label="",style="dashed", color="magenta", weight=3]; 104[label="False",fontsize=16,color="green",shape="box"];105[label="False",fontsize=16,color="green",shape="box"];106[label="True",fontsize=16,color="green",shape="box"];107 -> 263[label="",style="dashed", color="red", weight=0]; 107[label="yu30 == yu4000 && yu31 == yu4001",fontsize=16,color="magenta"];107 -> 268[label="",style="dashed", color="magenta", weight=3]; 107 -> 269[label="",style="dashed", color="magenta", weight=3]; 108[label="primEqDouble (Double yu30 yu31) (Double yu4000 yu4001)",fontsize=16,color="black",shape="box"];108 -> 176[label="",style="solid", color="black", weight=3]; 109 -> 49[label="",style="dashed", color="red", weight=0]; 109[label="primEqInt yu30 yu4000",fontsize=16,color="magenta"];109 -> 177[label="",style="dashed", color="magenta", weight=3]; 109 -> 178[label="",style="dashed", color="magenta", weight=3]; 110[label="True",fontsize=16,color="green",shape="box"];111[label="False",fontsize=16,color="green",shape="box"];112[label="False",fontsize=16,color="green",shape="box"];113[label="False",fontsize=16,color="green",shape="box"];114[label="True",fontsize=16,color="green",shape="box"];115[label="False",fontsize=16,color="green",shape="box"];116[label="False",fontsize=16,color="green",shape="box"];117[label="False",fontsize=16,color="green",shape="box"];118[label="True",fontsize=16,color="green",shape="box"];119[label="primEqInt (Pos (Succ yu300)) yu400",fontsize=16,color="burlywood",shape="box"];784[label="yu400/Pos yu4000",fontsize=10,color="white",style="solid",shape="box"];119 -> 784[label="",style="solid", color="burlywood", weight=9]; 784 -> 179[label="",style="solid", color="burlywood", weight=3]; 785[label="yu400/Neg yu4000",fontsize=10,color="white",style="solid",shape="box"];119 -> 785[label="",style="solid", color="burlywood", weight=9]; 785 -> 180[label="",style="solid", color="burlywood", weight=3]; 120[label="primEqInt (Pos Zero) yu400",fontsize=16,color="burlywood",shape="box"];786[label="yu400/Pos yu4000",fontsize=10,color="white",style="solid",shape="box"];120 -> 786[label="",style="solid", color="burlywood", weight=9]; 786 -> 181[label="",style="solid", color="burlywood", weight=3]; 787[label="yu400/Neg yu4000",fontsize=10,color="white",style="solid",shape="box"];120 -> 787[label="",style="solid", color="burlywood", weight=9]; 787 -> 182[label="",style="solid", color="burlywood", weight=3]; 121[label="primEqInt (Neg (Succ yu300)) yu400",fontsize=16,color="burlywood",shape="box"];788[label="yu400/Pos yu4000",fontsize=10,color="white",style="solid",shape="box"];121 -> 788[label="",style="solid", color="burlywood", weight=9]; 788 -> 183[label="",style="solid", color="burlywood", weight=3]; 789[label="yu400/Neg yu4000",fontsize=10,color="white",style="solid",shape="box"];121 -> 789[label="",style="solid", color="burlywood", weight=9]; 789 -> 184[label="",style="solid", color="burlywood", weight=3]; 122[label="primEqInt (Neg Zero) yu400",fontsize=16,color="burlywood",shape="box"];790[label="yu400/Pos yu4000",fontsize=10,color="white",style="solid",shape="box"];122 -> 790[label="",style="solid", color="burlywood", weight=9]; 790 -> 185[label="",style="solid", color="burlywood", weight=3]; 791[label="yu400/Neg yu4000",fontsize=10,color="white",style="solid",shape="box"];122 -> 791[label="",style="solid", color="burlywood", weight=9]; 791 -> 186[label="",style="solid", color="burlywood", weight=3]; 123[label="primEqFloat (Float yu30 yu31) (Float yu4000 yu4001)",fontsize=16,color="black",shape="box"];123 -> 187[label="",style="solid", color="black", weight=3]; 124[label="True",fontsize=16,color="green",shape="box"];125[label="False",fontsize=16,color="green",shape="box"];126[label="False",fontsize=16,color="green",shape="box"];127[label="yu30 == yu4000",fontsize=16,color="blue",shape="box"];792[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];127 -> 792[label="",style="solid", color="blue", weight=9]; 792 -> 188[label="",style="solid", color="blue", weight=3]; 793[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];127 -> 793[label="",style="solid", color="blue", weight=9]; 793 -> 189[label="",style="solid", color="blue", weight=3]; 794[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];127 -> 794[label="",style="solid", color="blue", weight=9]; 794 -> 190[label="",style="solid", color="blue", weight=3]; 795[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];127 -> 795[label="",style="solid", color="blue", weight=9]; 795 -> 191[label="",style="solid", color="blue", weight=3]; 796[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];127 -> 796[label="",style="solid", color="blue", weight=9]; 796 -> 192[label="",style="solid", color="blue", weight=3]; 797[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];127 -> 797[label="",style="solid", color="blue", weight=9]; 797 -> 193[label="",style="solid", color="blue", weight=3]; 798[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];127 -> 798[label="",style="solid", color="blue", weight=9]; 798 -> 194[label="",style="solid", color="blue", weight=3]; 799[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];127 -> 799[label="",style="solid", color="blue", weight=9]; 799 -> 195[label="",style="solid", color="blue", weight=3]; 800[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];127 -> 800[label="",style="solid", color="blue", weight=9]; 800 -> 196[label="",style="solid", color="blue", weight=3]; 801[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];127 -> 801[label="",style="solid", color="blue", weight=9]; 801 -> 197[label="",style="solid", color="blue", weight=3]; 802[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];127 -> 802[label="",style="solid", color="blue", weight=9]; 802 -> 198[label="",style="solid", color="blue", weight=3]; 803[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];127 -> 803[label="",style="solid", color="blue", weight=9]; 803 -> 199[label="",style="solid", color="blue", weight=3]; 804[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];127 -> 804[label="",style="solid", color="blue", weight=9]; 804 -> 200[label="",style="solid", color="blue", weight=3]; 805[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];127 -> 805[label="",style="solid", color="blue", weight=9]; 805 -> 201[label="",style="solid", color="blue", weight=3]; 128 -> 263[label="",style="dashed", color="red", weight=0]; 128[label="yu30 == yu4000 && yu31 == yu4001",fontsize=16,color="magenta"];128 -> 270[label="",style="dashed", color="magenta", weight=3]; 128 -> 271[label="",style="dashed", color="magenta", weight=3]; 129 -> 4[label="",style="dashed", color="red", weight=0]; 129[label="lookup yu11 yu14",fontsize=16,color="magenta"];129 -> 202[label="",style="dashed", color="magenta", weight=3]; 129 -> 203[label="",style="dashed", color="magenta", weight=3]; 130 -> 18[label="",style="dashed", color="red", weight=0]; 130[label="yu30 == yu4000",fontsize=16,color="magenta"];130 -> 204[label="",style="dashed", color="magenta", weight=3]; 130 -> 205[label="",style="dashed", color="magenta", weight=3]; 131 -> 19[label="",style="dashed", color="red", weight=0]; 131[label="yu30 == yu4000",fontsize=16,color="magenta"];131 -> 206[label="",style="dashed", color="magenta", weight=3]; 131 -> 207[label="",style="dashed", color="magenta", weight=3]; 132 -> 20[label="",style="dashed", color="red", weight=0]; 132[label="yu30 == yu4000",fontsize=16,color="magenta"];132 -> 208[label="",style="dashed", color="magenta", weight=3]; 132 -> 209[label="",style="dashed", color="magenta", weight=3]; 133 -> 21[label="",style="dashed", color="red", weight=0]; 133[label="yu30 == yu4000",fontsize=16,color="magenta"];133 -> 210[label="",style="dashed", color="magenta", weight=3]; 133 -> 211[label="",style="dashed", color="magenta", weight=3]; 134 -> 22[label="",style="dashed", color="red", weight=0]; 134[label="yu30 == yu4000",fontsize=16,color="magenta"];134 -> 212[label="",style="dashed", color="magenta", weight=3]; 134 -> 213[label="",style="dashed", color="magenta", weight=3]; 135 -> 23[label="",style="dashed", color="red", weight=0]; 135[label="yu30 == yu4000",fontsize=16,color="magenta"];135 -> 214[label="",style="dashed", color="magenta", weight=3]; 135 -> 215[label="",style="dashed", color="magenta", weight=3]; 136 -> 24[label="",style="dashed", color="red", weight=0]; 136[label="yu30 == yu4000",fontsize=16,color="magenta"];136 -> 216[label="",style="dashed", color="magenta", weight=3]; 136 -> 217[label="",style="dashed", color="magenta", weight=3]; 137 -> 25[label="",style="dashed", color="red", weight=0]; 137[label="yu30 == yu4000",fontsize=16,color="magenta"];137 -> 218[label="",style="dashed", color="magenta", weight=3]; 137 -> 219[label="",style="dashed", color="magenta", weight=3]; 138 -> 26[label="",style="dashed", color="red", weight=0]; 138[label="yu30 == yu4000",fontsize=16,color="magenta"];138 -> 220[label="",style="dashed", color="magenta", weight=3]; 138 -> 221[label="",style="dashed", color="magenta", weight=3]; 139 -> 27[label="",style="dashed", color="red", weight=0]; 139[label="yu30 == yu4000",fontsize=16,color="magenta"];139 -> 222[label="",style="dashed", color="magenta", weight=3]; 139 -> 223[label="",style="dashed", color="magenta", weight=3]; 140 -> 28[label="",style="dashed", color="red", weight=0]; 140[label="yu30 == yu4000",fontsize=16,color="magenta"];140 -> 224[label="",style="dashed", color="magenta", weight=3]; 140 -> 225[label="",style="dashed", color="magenta", weight=3]; 141 -> 29[label="",style="dashed", color="red", weight=0]; 141[label="yu30 == yu4000",fontsize=16,color="magenta"];141 -> 226[label="",style="dashed", color="magenta", weight=3]; 141 -> 227[label="",style="dashed", color="magenta", weight=3]; 142 -> 30[label="",style="dashed", color="red", weight=0]; 142[label="yu30 == yu4000",fontsize=16,color="magenta"];142 -> 228[label="",style="dashed", color="magenta", weight=3]; 142 -> 229[label="",style="dashed", color="magenta", weight=3]; 143 -> 31[label="",style="dashed", color="red", weight=0]; 143[label="yu30 == yu4000",fontsize=16,color="magenta"];143 -> 230[label="",style="dashed", color="magenta", weight=3]; 143 -> 231[label="",style="dashed", color="magenta", weight=3]; 144 -> 18[label="",style="dashed", color="red", weight=0]; 144[label="yu30 == yu4000",fontsize=16,color="magenta"];144 -> 232[label="",style="dashed", color="magenta", weight=3]; 144 -> 233[label="",style="dashed", color="magenta", weight=3]; 145 -> 19[label="",style="dashed", color="red", weight=0]; 145[label="yu30 == yu4000",fontsize=16,color="magenta"];145 -> 234[label="",style="dashed", color="magenta", weight=3]; 145 -> 235[label="",style="dashed", color="magenta", weight=3]; 146 -> 20[label="",style="dashed", color="red", weight=0]; 146[label="yu30 == yu4000",fontsize=16,color="magenta"];146 -> 236[label="",style="dashed", color="magenta", weight=3]; 146 -> 237[label="",style="dashed", color="magenta", weight=3]; 147 -> 21[label="",style="dashed", color="red", weight=0]; 147[label="yu30 == yu4000",fontsize=16,color="magenta"];147 -> 238[label="",style="dashed", color="magenta", weight=3]; 147 -> 239[label="",style="dashed", color="magenta", weight=3]; 148 -> 22[label="",style="dashed", color="red", weight=0]; 148[label="yu30 == yu4000",fontsize=16,color="magenta"];148 -> 240[label="",style="dashed", color="magenta", weight=3]; 148 -> 241[label="",style="dashed", color="magenta", weight=3]; 149 -> 23[label="",style="dashed", color="red", weight=0]; 149[label="yu30 == yu4000",fontsize=16,color="magenta"];149 -> 242[label="",style="dashed", color="magenta", weight=3]; 149 -> 243[label="",style="dashed", color="magenta", weight=3]; 150 -> 24[label="",style="dashed", color="red", weight=0]; 150[label="yu30 == yu4000",fontsize=16,color="magenta"];150 -> 244[label="",style="dashed", color="magenta", weight=3]; 150 -> 245[label="",style="dashed", color="magenta", weight=3]; 151 -> 25[label="",style="dashed", color="red", weight=0]; 151[label="yu30 == yu4000",fontsize=16,color="magenta"];151 -> 246[label="",style="dashed", color="magenta", weight=3]; 151 -> 247[label="",style="dashed", color="magenta", weight=3]; 152 -> 26[label="",style="dashed", color="red", weight=0]; 152[label="yu30 == yu4000",fontsize=16,color="magenta"];152 -> 248[label="",style="dashed", color="magenta", weight=3]; 152 -> 249[label="",style="dashed", color="magenta", weight=3]; 153 -> 27[label="",style="dashed", color="red", weight=0]; 153[label="yu30 == yu4000",fontsize=16,color="magenta"];153 -> 250[label="",style="dashed", color="magenta", weight=3]; 153 -> 251[label="",style="dashed", color="magenta", weight=3]; 154 -> 28[label="",style="dashed", color="red", weight=0]; 154[label="yu30 == yu4000",fontsize=16,color="magenta"];154 -> 252[label="",style="dashed", color="magenta", weight=3]; 154 -> 253[label="",style="dashed", color="magenta", weight=3]; 155 -> 29[label="",style="dashed", color="red", weight=0]; 155[label="yu30 == yu4000",fontsize=16,color="magenta"];155 -> 254[label="",style="dashed", color="magenta", weight=3]; 155 -> 255[label="",style="dashed", color="magenta", weight=3]; 156 -> 30[label="",style="dashed", color="red", weight=0]; 156[label="yu30 == yu4000",fontsize=16,color="magenta"];156 -> 256[label="",style="dashed", color="magenta", weight=3]; 156 -> 257[label="",style="dashed", color="magenta", weight=3]; 157 -> 31[label="",style="dashed", color="red", weight=0]; 157[label="yu30 == yu4000",fontsize=16,color="magenta"];157 -> 258[label="",style="dashed", color="magenta", weight=3]; 157 -> 259[label="",style="dashed", color="magenta", weight=3]; 264 -> 263[label="",style="dashed", color="red", weight=0]; 264[label="yu31 == yu4001 && yu32 == yu4002",fontsize=16,color="magenta"];264 -> 276[label="",style="dashed", color="magenta", weight=3]; 264 -> 277[label="",style="dashed", color="magenta", weight=3]; 265[label="yu30 == yu4000",fontsize=16,color="blue",shape="box"];806[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];265 -> 806[label="",style="solid", color="blue", weight=9]; 806 -> 278[label="",style="solid", color="blue", weight=3]; 807[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];265 -> 807[label="",style="solid", color="blue", weight=9]; 807 -> 279[label="",style="solid", color="blue", weight=3]; 808[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];265 -> 808[label="",style="solid", color="blue", weight=9]; 808 -> 280[label="",style="solid", color="blue", weight=3]; 809[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];265 -> 809[label="",style="solid", color="blue", weight=9]; 809 -> 281[label="",style="solid", color="blue", weight=3]; 810[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];265 -> 810[label="",style="solid", color="blue", weight=9]; 810 -> 282[label="",style="solid", color="blue", weight=3]; 811[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];265 -> 811[label="",style="solid", color="blue", weight=9]; 811 -> 283[label="",style="solid", color="blue", weight=3]; 812[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];265 -> 812[label="",style="solid", color="blue", weight=9]; 812 -> 284[label="",style="solid", color="blue", weight=3]; 813[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];265 -> 813[label="",style="solid", color="blue", weight=9]; 813 -> 285[label="",style="solid", color="blue", weight=3]; 814[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];265 -> 814[label="",style="solid", color="blue", weight=9]; 814 -> 286[label="",style="solid", color="blue", weight=3]; 815[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];265 -> 815[label="",style="solid", color="blue", weight=9]; 815 -> 287[label="",style="solid", color="blue", weight=3]; 816[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];265 -> 816[label="",style="solid", color="blue", weight=9]; 816 -> 288[label="",style="solid", color="blue", weight=3]; 817[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];265 -> 817[label="",style="solid", color="blue", weight=9]; 817 -> 289[label="",style="solid", color="blue", weight=3]; 818[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];265 -> 818[label="",style="solid", color="blue", weight=9]; 818 -> 290[label="",style="solid", color="blue", weight=3]; 819[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];265 -> 819[label="",style="solid", color="blue", weight=9]; 819 -> 291[label="",style="solid", color="blue", weight=3]; 263[label="yu31 && yu32",fontsize=16,color="burlywood",shape="triangle"];820[label="yu31/False",fontsize=10,color="white",style="solid",shape="box"];263 -> 820[label="",style="solid", color="burlywood", weight=9]; 820 -> 292[label="",style="solid", color="burlywood", weight=3]; 821[label="yu31/True",fontsize=10,color="white",style="solid",shape="box"];263 -> 821[label="",style="solid", color="burlywood", weight=9]; 821 -> 293[label="",style="solid", color="burlywood", weight=3]; 164[label="primEqNat yu30 yu4000",fontsize=16,color="burlywood",shape="triangle"];822[label="yu30/Succ yu300",fontsize=10,color="white",style="solid",shape="box"];164 -> 822[label="",style="solid", color="burlywood", weight=9]; 822 -> 294[label="",style="solid", color="burlywood", weight=3]; 823[label="yu30/Zero",fontsize=10,color="white",style="solid",shape="box"];164 -> 823[label="",style="solid", color="burlywood", weight=9]; 823 -> 295[label="",style="solid", color="burlywood", weight=3]; 266 -> 23[label="",style="dashed", color="red", weight=0]; 266[label="yu31 == yu4001",fontsize=16,color="magenta"];266 -> 296[label="",style="dashed", color="magenta", weight=3]; 266 -> 297[label="",style="dashed", color="magenta", weight=3]; 267[label="yu30 == yu4000",fontsize=16,color="blue",shape="box"];824[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];267 -> 824[label="",style="solid", color="blue", weight=9]; 824 -> 298[label="",style="solid", color="blue", weight=3]; 825[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];267 -> 825[label="",style="solid", color="blue", weight=9]; 825 -> 299[label="",style="solid", color="blue", weight=3]; 826[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];267 -> 826[label="",style="solid", color="blue", weight=9]; 826 -> 300[label="",style="solid", color="blue", weight=3]; 827[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];267 -> 827[label="",style="solid", color="blue", weight=9]; 827 -> 301[label="",style="solid", color="blue", weight=3]; 828[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];267 -> 828[label="",style="solid", color="blue", weight=9]; 828 -> 302[label="",style="solid", color="blue", weight=3]; 829[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];267 -> 829[label="",style="solid", color="blue", weight=9]; 829 -> 303[label="",style="solid", color="blue", weight=3]; 830[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];267 -> 830[label="",style="solid", color="blue", weight=9]; 830 -> 304[label="",style="solid", color="blue", weight=3]; 831[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];267 -> 831[label="",style="solid", color="blue", weight=9]; 831 -> 305[label="",style="solid", color="blue", weight=3]; 832[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];267 -> 832[label="",style="solid", color="blue", weight=9]; 832 -> 306[label="",style="solid", color="blue", weight=3]; 833[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];267 -> 833[label="",style="solid", color="blue", weight=9]; 833 -> 307[label="",style="solid", color="blue", weight=3]; 834[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];267 -> 834[label="",style="solid", color="blue", weight=9]; 834 -> 308[label="",style="solid", color="blue", weight=3]; 835[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];267 -> 835[label="",style="solid", color="blue", weight=9]; 835 -> 309[label="",style="solid", color="blue", weight=3]; 836[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];267 -> 836[label="",style="solid", color="blue", weight=9]; 836 -> 310[label="",style="solid", color="blue", weight=3]; 837[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];267 -> 837[label="",style="solid", color="blue", weight=9]; 837 -> 311[label="",style="solid", color="blue", weight=3]; 268[label="yu31 == yu4001",fontsize=16,color="blue",shape="box"];838[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];268 -> 838[label="",style="solid", color="blue", weight=9]; 838 -> 312[label="",style="solid", color="blue", weight=3]; 839[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];268 -> 839[label="",style="solid", color="blue", weight=9]; 839 -> 313[label="",style="solid", color="blue", weight=3]; 840[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];268 -> 840[label="",style="solid", color="blue", weight=9]; 840 -> 314[label="",style="solid", color="blue", weight=3]; 841[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];268 -> 841[label="",style="solid", color="blue", weight=9]; 841 -> 315[label="",style="solid", color="blue", weight=3]; 842[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];268 -> 842[label="",style="solid", color="blue", weight=9]; 842 -> 316[label="",style="solid", color="blue", weight=3]; 843[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];268 -> 843[label="",style="solid", color="blue", weight=9]; 843 -> 317[label="",style="solid", color="blue", weight=3]; 844[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];268 -> 844[label="",style="solid", color="blue", weight=9]; 844 -> 318[label="",style="solid", color="blue", weight=3]; 845[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];268 -> 845[label="",style="solid", color="blue", weight=9]; 845 -> 319[label="",style="solid", color="blue", weight=3]; 846[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];268 -> 846[label="",style="solid", color="blue", weight=9]; 846 -> 320[label="",style="solid", color="blue", weight=3]; 847[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];268 -> 847[label="",style="solid", color="blue", weight=9]; 847 -> 321[label="",style="solid", color="blue", weight=3]; 848[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];268 -> 848[label="",style="solid", color="blue", weight=9]; 848 -> 322[label="",style="solid", color="blue", weight=3]; 849[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];268 -> 849[label="",style="solid", color="blue", weight=9]; 849 -> 323[label="",style="solid", color="blue", weight=3]; 850[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];268 -> 850[label="",style="solid", color="blue", weight=9]; 850 -> 324[label="",style="solid", color="blue", weight=3]; 851[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];268 -> 851[label="",style="solid", color="blue", weight=9]; 851 -> 325[label="",style="solid", color="blue", weight=3]; 269[label="yu30 == yu4000",fontsize=16,color="blue",shape="box"];852[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];269 -> 852[label="",style="solid", color="blue", weight=9]; 852 -> 326[label="",style="solid", color="blue", weight=3]; 853[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];269 -> 853[label="",style="solid", color="blue", weight=9]; 853 -> 327[label="",style="solid", color="blue", weight=3]; 854[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];269 -> 854[label="",style="solid", color="blue", weight=9]; 854 -> 328[label="",style="solid", color="blue", weight=3]; 855[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];269 -> 855[label="",style="solid", color="blue", weight=9]; 855 -> 329[label="",style="solid", color="blue", weight=3]; 856[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];269 -> 856[label="",style="solid", color="blue", weight=9]; 856 -> 330[label="",style="solid", color="blue", weight=3]; 857[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];269 -> 857[label="",style="solid", color="blue", weight=9]; 857 -> 331[label="",style="solid", color="blue", weight=3]; 858[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];269 -> 858[label="",style="solid", color="blue", weight=9]; 858 -> 332[label="",style="solid", color="blue", weight=3]; 859[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];269 -> 859[label="",style="solid", color="blue", weight=9]; 859 -> 333[label="",style="solid", color="blue", weight=3]; 860[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];269 -> 860[label="",style="solid", color="blue", weight=9]; 860 -> 334[label="",style="solid", color="blue", weight=3]; 861[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];269 -> 861[label="",style="solid", color="blue", weight=9]; 861 -> 335[label="",style="solid", color="blue", weight=3]; 862[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];269 -> 862[label="",style="solid", color="blue", weight=9]; 862 -> 336[label="",style="solid", color="blue", weight=3]; 863[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];269 -> 863[label="",style="solid", color="blue", weight=9]; 863 -> 337[label="",style="solid", color="blue", weight=3]; 864[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];269 -> 864[label="",style="solid", color="blue", weight=9]; 864 -> 338[label="",style="solid", color="blue", weight=3]; 865[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];269 -> 865[label="",style="solid", color="blue", weight=9]; 865 -> 339[label="",style="solid", color="blue", weight=3]; 176 -> 28[label="",style="dashed", color="red", weight=0]; 176[label="yu30 * yu4001 == yu31 * yu4000",fontsize=16,color="magenta"];176 -> 340[label="",style="dashed", color="magenta", weight=3]; 176 -> 341[label="",style="dashed", color="magenta", weight=3]; 177[label="yu4000",fontsize=16,color="green",shape="box"];178[label="yu30",fontsize=16,color="green",shape="box"];179[label="primEqInt (Pos (Succ yu300)) (Pos yu4000)",fontsize=16,color="burlywood",shape="box"];866[label="yu4000/Succ yu40000",fontsize=10,color="white",style="solid",shape="box"];179 -> 866[label="",style="solid", color="burlywood", weight=9]; 866 -> 342[label="",style="solid", color="burlywood", weight=3]; 867[label="yu4000/Zero",fontsize=10,color="white",style="solid",shape="box"];179 -> 867[label="",style="solid", color="burlywood", weight=9]; 867 -> 343[label="",style="solid", color="burlywood", weight=3]; 180[label="primEqInt (Pos (Succ yu300)) (Neg 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871[label="yu4000/Zero",fontsize=10,color="white",style="solid",shape="box"];182 -> 871[label="",style="solid", color="burlywood", weight=9]; 871 -> 348[label="",style="solid", color="burlywood", weight=3]; 183[label="primEqInt (Neg (Succ yu300)) (Pos yu4000)",fontsize=16,color="black",shape="box"];183 -> 349[label="",style="solid", color="black", weight=3]; 184[label="primEqInt (Neg (Succ yu300)) (Neg yu4000)",fontsize=16,color="burlywood",shape="box"];872[label="yu4000/Succ yu40000",fontsize=10,color="white",style="solid",shape="box"];184 -> 872[label="",style="solid", color="burlywood", weight=9]; 872 -> 350[label="",style="solid", color="burlywood", weight=3]; 873[label="yu4000/Zero",fontsize=10,color="white",style="solid",shape="box"];184 -> 873[label="",style="solid", color="burlywood", weight=9]; 873 -> 351[label="",style="solid", color="burlywood", weight=3]; 185[label="primEqInt (Neg Zero) (Pos yu4000)",fontsize=16,color="burlywood",shape="box"];874[label="yu4000/Succ 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yu31 * yu4000",fontsize=16,color="magenta"];187 -> 356[label="",style="dashed", color="magenta", weight=3]; 187 -> 357[label="",style="dashed", color="magenta", weight=3]; 188 -> 18[label="",style="dashed", color="red", weight=0]; 188[label="yu30 == yu4000",fontsize=16,color="magenta"];188 -> 358[label="",style="dashed", color="magenta", weight=3]; 188 -> 359[label="",style="dashed", color="magenta", weight=3]; 189 -> 19[label="",style="dashed", color="red", weight=0]; 189[label="yu30 == yu4000",fontsize=16,color="magenta"];189 -> 360[label="",style="dashed", color="magenta", weight=3]; 189 -> 361[label="",style="dashed", color="magenta", weight=3]; 190 -> 20[label="",style="dashed", color="red", weight=0]; 190[label="yu30 == yu4000",fontsize=16,color="magenta"];190 -> 362[label="",style="dashed", color="magenta", weight=3]; 190 -> 363[label="",style="dashed", color="magenta", weight=3]; 191 -> 21[label="",style="dashed", color="red", weight=0]; 191[label="yu30 == yu4000",fontsize=16,color="magenta"];191 -> 364[label="",style="dashed", color="magenta", weight=3]; 191 -> 365[label="",style="dashed", color="magenta", weight=3]; 192 -> 22[label="",style="dashed", color="red", weight=0]; 192[label="yu30 == yu4000",fontsize=16,color="magenta"];192 -> 366[label="",style="dashed", color="magenta", weight=3]; 192 -> 367[label="",style="dashed", color="magenta", weight=3]; 193 -> 23[label="",style="dashed", color="red", weight=0]; 193[label="yu30 == yu4000",fontsize=16,color="magenta"];193 -> 368[label="",style="dashed", color="magenta", weight=3]; 193 -> 369[label="",style="dashed", color="magenta", weight=3]; 194 -> 24[label="",style="dashed", color="red", weight=0]; 194[label="yu30 == yu4000",fontsize=16,color="magenta"];194 -> 370[label="",style="dashed", color="magenta", weight=3]; 194 -> 371[label="",style="dashed", color="magenta", weight=3]; 195 -> 25[label="",style="dashed", color="red", weight=0]; 195[label="yu30 == yu4000",fontsize=16,color="magenta"];195 -> 372[label="",style="dashed", color="magenta", weight=3]; 195 -> 373[label="",style="dashed", color="magenta", weight=3]; 196 -> 26[label="",style="dashed", color="red", weight=0]; 196[label="yu30 == yu4000",fontsize=16,color="magenta"];196 -> 374[label="",style="dashed", color="magenta", weight=3]; 196 -> 375[label="",style="dashed", color="magenta", weight=3]; 197 -> 27[label="",style="dashed", color="red", weight=0]; 197[label="yu30 == yu4000",fontsize=16,color="magenta"];197 -> 376[label="",style="dashed", color="magenta", weight=3]; 197 -> 377[label="",style="dashed", color="magenta", weight=3]; 198 -> 28[label="",style="dashed", color="red", weight=0]; 198[label="yu30 == yu4000",fontsize=16,color="magenta"];198 -> 378[label="",style="dashed", color="magenta", weight=3]; 198 -> 379[label="",style="dashed", color="magenta", weight=3]; 199 -> 29[label="",style="dashed", color="red", weight=0]; 199[label="yu30 == yu4000",fontsize=16,color="magenta"];199 -> 380[label="",style="dashed", color="magenta", weight=3]; 199 -> 381[label="",style="dashed", color="magenta", weight=3]; 200 -> 30[label="",style="dashed", color="red", weight=0]; 200[label="yu30 == yu4000",fontsize=16,color="magenta"];200 -> 382[label="",style="dashed", color="magenta", weight=3]; 200 -> 383[label="",style="dashed", color="magenta", weight=3]; 201 -> 31[label="",style="dashed", color="red", weight=0]; 201[label="yu30 == yu4000",fontsize=16,color="magenta"];201 -> 384[label="",style="dashed", color="magenta", weight=3]; 201 -> 385[label="",style="dashed", color="magenta", weight=3]; 270[label="yu31 == yu4001",fontsize=16,color="blue",shape="box"];878[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];270 -> 878[label="",style="solid", color="blue", weight=9]; 878 -> 386[label="",style="solid", color="blue", weight=3]; 879[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];270 -> 879[label="",style="solid", color="blue", weight=9]; 879 -> 387[label="",style="solid", color="blue", weight=3]; 271[label="yu30 == yu4000",fontsize=16,color="blue",shape="box"];880[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];271 -> 880[label="",style="solid", color="blue", weight=9]; 880 -> 388[label="",style="solid", color="blue", weight=3]; 881[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];271 -> 881[label="",style="solid", color="blue", weight=9]; 881 -> 389[label="",style="solid", color="blue", weight=3]; 202[label="yu14",fontsize=16,color="green",shape="box"];203[label="yu11",fontsize=16,color="green",shape="box"];204[label="yu4000",fontsize=16,color="green",shape="box"];205[label="yu30",fontsize=16,color="green",shape="box"];206[label="yu4000",fontsize=16,color="green",shape="box"];207[label="yu30",fontsize=16,color="green",shape="box"];208[label="yu4000",fontsize=16,color="green",shape="box"];209[label="yu30",fontsize=16,color="green",shape="box"];210[label="yu4000",fontsize=16,color="green",shape="box"];211[label="yu30",fontsize=16,color="green",shape="box"];212[label="yu4000",fontsize=16,color="green",shape="box"];213[label="yu30",fontsize=16,color="green",shape="box"];214[label="yu4000",fontsize=16,color="green",shape="box"];215[label="yu30",fontsize=16,color="green",shape="box"];216[label="yu4000",fontsize=16,color="green",shape="box"];217[label="yu30",fontsize=16,color="green",shape="box"];218[label="yu4000",fontsize=16,color="green",shape="box"];219[label="yu30",fontsize=16,color="green",shape="box"];220[label="yu4000",fontsize=16,color="green",shape="box"];221[label="yu30",fontsize=16,color="green",shape="box"];222[label="yu4000",fontsize=16,color="green",shape="box"];223[label="yu30",fontsize=16,color="green",shape="box"];224[label="yu4000",fontsize=16,color="green",shape="box"];225[label="yu30",fontsize=16,color="green",shape="box"];226[label="yu4000",fontsize=16,color="green",shape="box"];227[label="yu30",fontsize=16,color="green",shape="box"];228[label="yu4000",fontsize=16,color="green",shape="box"];229[label="yu30",fontsize=16,color="green",shape="box"];230[label="yu4000",fontsize=16,color="green",shape="box"];231[label="yu30",fontsize=16,color="green",shape="box"];232[label="yu4000",fontsize=16,color="green",shape="box"];233[label="yu30",fontsize=16,color="green",shape="box"];234[label="yu4000",fontsize=16,color="green",shape="box"];235[label="yu30",fontsize=16,color="green",shape="box"];236[label="yu4000",fontsize=16,color="green",shape="box"];237[label="yu30",fontsize=16,color="green",shape="box"];238[label="yu4000",fontsize=16,color="green",shape="box"];239[label="yu30",fontsize=16,color="green",shape="box"];240[label="yu4000",fontsize=16,color="green",shape="box"];241[label="yu30",fontsize=16,color="green",shape="box"];242[label="yu4000",fontsize=16,color="green",shape="box"];243[label="yu30",fontsize=16,color="green",shape="box"];244[label="yu4000",fontsize=16,color="green",shape="box"];245[label="yu30",fontsize=16,color="green",shape="box"];246[label="yu4000",fontsize=16,color="green",shape="box"];247[label="yu30",fontsize=16,color="green",shape="box"];248[label="yu4000",fontsize=16,color="green",shape="box"];249[label="yu30",fontsize=16,color="green",shape="box"];250[label="yu4000",fontsize=16,color="green",shape="box"];251[label="yu30",fontsize=16,color="green",shape="box"];252[label="yu4000",fontsize=16,color="green",shape="box"];253[label="yu30",fontsize=16,color="green",shape="box"];254[label="yu4000",fontsize=16,color="green",shape="box"];255[label="yu30",fontsize=16,color="green",shape="box"];256[label="yu4000",fontsize=16,color="green",shape="box"];257[label="yu30",fontsize=16,color="green",shape="box"];258[label="yu4000",fontsize=16,color="green",shape="box"];259[label="yu30",fontsize=16,color="green",shape="box"];276[label="yu32 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Bool",fontsize=10,color="white",style="solid",shape="box"];276 -> 886[label="",style="solid", color="blue", weight=9]; 886 -> 394[label="",style="solid", color="blue", weight=3]; 887[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];276 -> 887[label="",style="solid", color="blue", weight=9]; 887 -> 395[label="",style="solid", color="blue", weight=3]; 888[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];276 -> 888[label="",style="solid", color="blue", weight=9]; 888 -> 396[label="",style="solid", color="blue", weight=3]; 889[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];276 -> 889[label="",style="solid", color="blue", weight=9]; 889 -> 397[label="",style="solid", color="blue", weight=3]; 890[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];276 -> 890[label="",style="solid", color="blue", weight=9]; 890 -> 398[label="",style="solid", color="blue", weight=3]; 891[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];276 -> 891[label="",style="solid", color="blue", weight=9]; 891 -> 399[label="",style="solid", color="blue", weight=3]; 892[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];276 -> 892[label="",style="solid", color="blue", weight=9]; 892 -> 400[label="",style="solid", color="blue", weight=3]; 893[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];276 -> 893[label="",style="solid", color="blue", weight=9]; 893 -> 401[label="",style="solid", color="blue", weight=3]; 894[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];276 -> 894[label="",style="solid", color="blue", weight=9]; 894 -> 402[label="",style="solid", color="blue", weight=3]; 895[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];276 -> 895[label="",style="solid", color="blue", weight=9]; 895 -> 403[label="",style="solid", color="blue", weight=3]; 277[label="yu31 == yu4001",fontsize=16,color="blue",shape="box"];896[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];277 -> 896[label="",style="solid", color="blue", weight=9]; 896 -> 404[label="",style="solid", color="blue", weight=3]; 897[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];277 -> 897[label="",style="solid", color="blue", weight=9]; 897 -> 405[label="",style="solid", color="blue", weight=3]; 898[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];277 -> 898[label="",style="solid", color="blue", weight=9]; 898 -> 406[label="",style="solid", color="blue", weight=3]; 899[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];277 -> 899[label="",style="solid", color="blue", weight=9]; 899 -> 407[label="",style="solid", color="blue", weight=3]; 900[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];277 -> 900[label="",style="solid", color="blue", weight=9]; 900 -> 408[label="",style="solid", color="blue", weight=3]; 901[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];277 -> 901[label="",style="solid", color="blue", weight=9]; 901 -> 409[label="",style="solid", color="blue", weight=3]; 902[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];277 -> 902[label="",style="solid", color="blue", weight=9]; 902 -> 410[label="",style="solid", color="blue", weight=3]; 903[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];277 -> 903[label="",style="solid", color="blue", weight=9]; 903 -> 411[label="",style="solid", color="blue", weight=3]; 904[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];277 -> 904[label="",style="solid", color="blue", weight=9]; 904 -> 412[label="",style="solid", color="blue", weight=3]; 905[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];277 -> 905[label="",style="solid", color="blue", weight=9]; 905 -> 413[label="",style="solid", color="blue", weight=3]; 906[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];277 -> 906[label="",style="solid", color="blue", weight=9]; 906 -> 414[label="",style="solid", color="blue", weight=3]; 907[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];277 -> 907[label="",style="solid", color="blue", weight=9]; 907 -> 415[label="",style="solid", color="blue", weight=3]; 908[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];277 -> 908[label="",style="solid", color="blue", weight=9]; 908 -> 416[label="",style="solid", color="blue", weight=3]; 909[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];277 -> 909[label="",style="solid", color="blue", weight=9]; 909 -> 417[label="",style="solid", color="blue", weight=3]; 278 -> 18[label="",style="dashed", color="red", weight=0]; 278[label="yu30 == yu4000",fontsize=16,color="magenta"];278 -> 418[label="",style="dashed", color="magenta", weight=3]; 278 -> 419[label="",style="dashed", color="magenta", weight=3]; 279 -> 19[label="",style="dashed", color="red", weight=0]; 279[label="yu30 == yu4000",fontsize=16,color="magenta"];279 -> 420[label="",style="dashed", color="magenta", weight=3]; 279 -> 421[label="",style="dashed", color="magenta", weight=3]; 280 -> 20[label="",style="dashed", color="red", weight=0]; 280[label="yu30 == yu4000",fontsize=16,color="magenta"];280 -> 422[label="",style="dashed", color="magenta", weight=3]; 280 -> 423[label="",style="dashed", color="magenta", weight=3]; 281 -> 21[label="",style="dashed", color="red", weight=0]; 281[label="yu30 == yu4000",fontsize=16,color="magenta"];281 -> 424[label="",style="dashed", color="magenta", weight=3]; 281 -> 425[label="",style="dashed", color="magenta", weight=3]; 282 -> 22[label="",style="dashed", color="red", weight=0]; 282[label="yu30 == yu4000",fontsize=16,color="magenta"];282 -> 426[label="",style="dashed", color="magenta", weight=3]; 282 -> 427[label="",style="dashed", color="magenta", weight=3]; 283 -> 23[label="",style="dashed", color="red", weight=0]; 283[label="yu30 == yu4000",fontsize=16,color="magenta"];283 -> 428[label="",style="dashed", color="magenta", weight=3]; 283 -> 429[label="",style="dashed", color="magenta", weight=3]; 284 -> 24[label="",style="dashed", color="red", weight=0]; 284[label="yu30 == yu4000",fontsize=16,color="magenta"];284 -> 430[label="",style="dashed", color="magenta", weight=3]; 284 -> 431[label="",style="dashed", color="magenta", weight=3]; 285 -> 25[label="",style="dashed", color="red", weight=0]; 285[label="yu30 == yu4000",fontsize=16,color="magenta"];285 -> 432[label="",style="dashed", color="magenta", weight=3]; 285 -> 433[label="",style="dashed", color="magenta", weight=3]; 286 -> 26[label="",style="dashed", color="red", weight=0]; 286[label="yu30 == yu4000",fontsize=16,color="magenta"];286 -> 434[label="",style="dashed", color="magenta", weight=3]; 286 -> 435[label="",style="dashed", color="magenta", weight=3]; 287 -> 27[label="",style="dashed", color="red", weight=0]; 287[label="yu30 == yu4000",fontsize=16,color="magenta"];287 -> 436[label="",style="dashed", color="magenta", weight=3]; 287 -> 437[label="",style="dashed", color="magenta", weight=3]; 288 -> 28[label="",style="dashed", color="red", weight=0]; 288[label="yu30 == yu4000",fontsize=16,color="magenta"];288 -> 438[label="",style="dashed", color="magenta", weight=3]; 288 -> 439[label="",style="dashed", color="magenta", weight=3]; 289 -> 29[label="",style="dashed", color="red", weight=0]; 289[label="yu30 == yu4000",fontsize=16,color="magenta"];289 -> 440[label="",style="dashed", color="magenta", weight=3]; 289 -> 441[label="",style="dashed", color="magenta", weight=3]; 290 -> 30[label="",style="dashed", color="red", weight=0]; 290[label="yu30 == yu4000",fontsize=16,color="magenta"];290 -> 442[label="",style="dashed", color="magenta", weight=3]; 290 -> 443[label="",style="dashed", color="magenta", weight=3]; 291 -> 31[label="",style="dashed", color="red", weight=0]; 291[label="yu30 == yu4000",fontsize=16,color="magenta"];291 -> 444[label="",style="dashed", color="magenta", weight=3]; 291 -> 445[label="",style="dashed", color="magenta", weight=3]; 292[label="False && yu32",fontsize=16,color="black",shape="box"];292 -> 446[label="",style="solid", color="black", weight=3]; 293[label="True && yu32",fontsize=16,color="black",shape="box"];293 -> 447[label="",style="solid", color="black", weight=3]; 294[label="primEqNat (Succ yu300) yu4000",fontsize=16,color="burlywood",shape="box"];910[label="yu4000/Succ yu40000",fontsize=10,color="white",style="solid",shape="box"];294 -> 910[label="",style="solid", color="burlywood", weight=9]; 910 -> 448[label="",style="solid", color="burlywood", weight=3]; 911[label="yu4000/Zero",fontsize=10,color="white",style="solid",shape="box"];294 -> 911[label="",style="solid", color="burlywood", weight=9]; 911 -> 449[label="",style="solid", color="burlywood", weight=3]; 295[label="primEqNat Zero yu4000",fontsize=16,color="burlywood",shape="box"];912[label="yu4000/Succ yu40000",fontsize=10,color="white",style="solid",shape="box"];295 -> 912[label="",style="solid", color="burlywood", weight=9]; 912 -> 450[label="",style="solid", color="burlywood", weight=3]; 913[label="yu4000/Zero",fontsize=10,color="white",style="solid",shape="box"];295 -> 913[label="",style="solid", color="burlywood", weight=9]; 913 -> 451[label="",style="solid", color="burlywood", weight=3]; 296[label="yu4001",fontsize=16,color="green",shape="box"];297[label="yu31",fontsize=16,color="green",shape="box"];298 -> 18[label="",style="dashed", color="red", weight=0]; 298[label="yu30 == yu4000",fontsize=16,color="magenta"];298 -> 452[label="",style="dashed", color="magenta", weight=3]; 298 -> 453[label="",style="dashed", color="magenta", weight=3]; 299 -> 19[label="",style="dashed", color="red", weight=0]; 299[label="yu30 == yu4000",fontsize=16,color="magenta"];299 -> 454[label="",style="dashed", color="magenta", weight=3]; 299 -> 455[label="",style="dashed", color="magenta", weight=3]; 300 -> 20[label="",style="dashed", color="red", weight=0]; 300[label="yu30 == yu4000",fontsize=16,color="magenta"];300 -> 456[label="",style="dashed", color="magenta", weight=3]; 300 -> 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color="magenta", weight=3]; 305 -> 25[label="",style="dashed", color="red", weight=0]; 305[label="yu30 == yu4000",fontsize=16,color="magenta"];305 -> 466[label="",style="dashed", color="magenta", weight=3]; 305 -> 467[label="",style="dashed", color="magenta", weight=3]; 306 -> 26[label="",style="dashed", color="red", weight=0]; 306[label="yu30 == yu4000",fontsize=16,color="magenta"];306 -> 468[label="",style="dashed", color="magenta", weight=3]; 306 -> 469[label="",style="dashed", color="magenta", weight=3]; 307 -> 27[label="",style="dashed", color="red", weight=0]; 307[label="yu30 == yu4000",fontsize=16,color="magenta"];307 -> 470[label="",style="dashed", color="magenta", weight=3]; 307 -> 471[label="",style="dashed", color="magenta", weight=3]; 308 -> 28[label="",style="dashed", color="red", weight=0]; 308[label="yu30 == yu4000",fontsize=16,color="magenta"];308 -> 472[label="",style="dashed", color="magenta", weight=3]; 308 -> 473[label="",style="dashed", color="magenta", weight=3]; 309 -> 29[label="",style="dashed", color="red", weight=0]; 309[label="yu30 == yu4000",fontsize=16,color="magenta"];309 -> 474[label="",style="dashed", color="magenta", weight=3]; 309 -> 475[label="",style="dashed", color="magenta", weight=3]; 310 -> 30[label="",style="dashed", color="red", weight=0]; 310[label="yu30 == yu4000",fontsize=16,color="magenta"];310 -> 476[label="",style="dashed", color="magenta", weight=3]; 310 -> 477[label="",style="dashed", color="magenta", weight=3]; 311 -> 31[label="",style="dashed", color="red", weight=0]; 311[label="yu30 == yu4000",fontsize=16,color="magenta"];311 -> 478[label="",style="dashed", color="magenta", weight=3]; 311 -> 479[label="",style="dashed", color="magenta", weight=3]; 312 -> 18[label="",style="dashed", color="red", weight=0]; 312[label="yu31 == yu4001",fontsize=16,color="magenta"];312 -> 480[label="",style="dashed", color="magenta", weight=3]; 312 -> 481[label="",style="dashed", color="magenta", weight=3]; 313 -> 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yu4000",fontsize=16,color="magenta"];329 -> 514[label="",style="dashed", color="magenta", weight=3]; 329 -> 515[label="",style="dashed", color="magenta", weight=3]; 330 -> 22[label="",style="dashed", color="red", weight=0]; 330[label="yu30 == yu4000",fontsize=16,color="magenta"];330 -> 516[label="",style="dashed", color="magenta", weight=3]; 330 -> 517[label="",style="dashed", color="magenta", weight=3]; 331 -> 23[label="",style="dashed", color="red", weight=0]; 331[label="yu30 == yu4000",fontsize=16,color="magenta"];331 -> 518[label="",style="dashed", color="magenta", weight=3]; 331 -> 519[label="",style="dashed", color="magenta", weight=3]; 332 -> 24[label="",style="dashed", color="red", weight=0]; 332[label="yu30 == yu4000",fontsize=16,color="magenta"];332 -> 520[label="",style="dashed", color="magenta", weight=3]; 332 -> 521[label="",style="dashed", color="magenta", weight=3]; 333 -> 25[label="",style="dashed", color="red", weight=0]; 333[label="yu30 == yu4000",fontsize=16,color="magenta"];333 -> 522[label="",style="dashed", color="magenta", weight=3]; 333 -> 523[label="",style="dashed", color="magenta", weight=3]; 334 -> 26[label="",style="dashed", color="red", weight=0]; 334[label="yu30 == yu4000",fontsize=16,color="magenta"];334 -> 524[label="",style="dashed", color="magenta", weight=3]; 334 -> 525[label="",style="dashed", color="magenta", weight=3]; 335 -> 27[label="",style="dashed", color="red", weight=0]; 335[label="yu30 == yu4000",fontsize=16,color="magenta"];335 -> 526[label="",style="dashed", color="magenta", weight=3]; 335 -> 527[label="",style="dashed", color="magenta", weight=3]; 336 -> 28[label="",style="dashed", color="red", weight=0]; 336[label="yu30 == yu4000",fontsize=16,color="magenta"];336 -> 528[label="",style="dashed", color="magenta", weight=3]; 336 -> 529[label="",style="dashed", color="magenta", weight=3]; 337 -> 29[label="",style="dashed", color="red", weight=0]; 337[label="yu30 == yu4000",fontsize=16,color="magenta"];337 -> 530[label="",style="dashed", color="magenta", weight=3]; 337 -> 531[label="",style="dashed", color="magenta", weight=3]; 338 -> 30[label="",style="dashed", color="red", weight=0]; 338[label="yu30 == yu4000",fontsize=16,color="magenta"];338 -> 532[label="",style="dashed", color="magenta", weight=3]; 338 -> 533[label="",style="dashed", color="magenta", weight=3]; 339 -> 31[label="",style="dashed", color="red", weight=0]; 339[label="yu30 == yu4000",fontsize=16,color="magenta"];339 -> 534[label="",style="dashed", color="magenta", weight=3]; 339 -> 535[label="",style="dashed", color="magenta", weight=3]; 340[label="yu31 * yu4000",fontsize=16,color="black",shape="triangle"];340 -> 536[label="",style="solid", color="black", weight=3]; 341 -> 340[label="",style="dashed", color="red", weight=0]; 341[label="yu30 * yu4001",fontsize=16,color="magenta"];341 -> 537[label="",style="dashed", color="magenta", weight=3]; 341 -> 538[label="",style="dashed", color="magenta", weight=3]; 342[label="primEqInt (Pos (Succ yu300)) (Pos (Succ yu40000))",fontsize=16,color="black",shape="box"];342 -> 539[label="",style="solid", color="black", weight=3]; 343[label="primEqInt (Pos (Succ yu300)) (Pos Zero)",fontsize=16,color="black",shape="box"];343 -> 540[label="",style="solid", color="black", weight=3]; 344[label="False",fontsize=16,color="green",shape="box"];345[label="primEqInt (Pos Zero) (Pos (Succ yu40000))",fontsize=16,color="black",shape="box"];345 -> 541[label="",style="solid", color="black", weight=3]; 346[label="primEqInt (Pos Zero) (Pos Zero)",fontsize=16,color="black",shape="box"];346 -> 542[label="",style="solid", color="black", weight=3]; 347[label="primEqInt (Pos Zero) (Neg (Succ yu40000))",fontsize=16,color="black",shape="box"];347 -> 543[label="",style="solid", color="black", weight=3]; 348[label="primEqInt (Pos Zero) (Neg Zero)",fontsize=16,color="black",shape="box"];348 -> 544[label="",style="solid", color="black", weight=3]; 349[label="False",fontsize=16,color="green",shape="box"];350[label="primEqInt (Neg (Succ yu300)) (Neg (Succ yu40000))",fontsize=16,color="black",shape="box"];350 -> 545[label="",style="solid", color="black", weight=3]; 351[label="primEqInt (Neg (Succ yu300)) (Neg Zero)",fontsize=16,color="black",shape="box"];351 -> 546[label="",style="solid", color="black", weight=3]; 352[label="primEqInt (Neg Zero) (Pos (Succ yu40000))",fontsize=16,color="black",shape="box"];352 -> 547[label="",style="solid", color="black", weight=3]; 353[label="primEqInt (Neg Zero) (Pos Zero)",fontsize=16,color="black",shape="box"];353 -> 548[label="",style="solid", color="black", weight=3]; 354[label="primEqInt (Neg Zero) (Neg (Succ yu40000))",fontsize=16,color="black",shape="box"];354 -> 549[label="",style="solid", color="black", weight=3]; 355[label="primEqInt (Neg Zero) (Neg Zero)",fontsize=16,color="black",shape="box"];355 -> 550[label="",style="solid", color="black", weight=3]; 356 -> 340[label="",style="dashed", color="red", weight=0]; 356[label="yu31 * yu4000",fontsize=16,color="magenta"];356 -> 551[label="",style="dashed", color="magenta", weight=3]; 356 -> 552[label="",style="dashed", color="magenta", weight=3]; 357 -> 340[label="",style="dashed", color="red", weight=0]; 357[label="yu30 * yu4001",fontsize=16,color="magenta"];357 -> 553[label="",style="dashed", color="magenta", weight=3]; 357 -> 554[label="",style="dashed", color="magenta", weight=3]; 358[label="yu4000",fontsize=16,color="green",shape="box"];359[label="yu30",fontsize=16,color="green",shape="box"];360[label="yu4000",fontsize=16,color="green",shape="box"];361[label="yu30",fontsize=16,color="green",shape="box"];362[label="yu4000",fontsize=16,color="green",shape="box"];363[label="yu30",fontsize=16,color="green",shape="box"];364[label="yu4000",fontsize=16,color="green",shape="box"];365[label="yu30",fontsize=16,color="green",shape="box"];366[label="yu4000",fontsize=16,color="green",shape="box"];367[label="yu30",fontsize=16,color="green",shape="box"];368[label="yu4000",fontsize=16,color="green",shape="box"];369[label="yu30",fontsize=16,color="green",shape="box"];370[label="yu4000",fontsize=16,color="green",shape="box"];371[label="yu30",fontsize=16,color="green",shape="box"];372[label="yu4000",fontsize=16,color="green",shape="box"];373[label="yu30",fontsize=16,color="green",shape="box"];374[label="yu4000",fontsize=16,color="green",shape="box"];375[label="yu30",fontsize=16,color="green",shape="box"];376[label="yu4000",fontsize=16,color="green",shape="box"];377[label="yu30",fontsize=16,color="green",shape="box"];378[label="yu4000",fontsize=16,color="green",shape="box"];379[label="yu30",fontsize=16,color="green",shape="box"];380[label="yu4000",fontsize=16,color="green",shape="box"];381[label="yu30",fontsize=16,color="green",shape="box"];382[label="yu4000",fontsize=16,color="green",shape="box"];383[label="yu30",fontsize=16,color="green",shape="box"];384[label="yu4000",fontsize=16,color="green",shape="box"];385[label="yu30",fontsize=16,color="green",shape="box"];386 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18[label="",style="dashed", color="red", weight=0]; 390[label="yu32 == yu4002",fontsize=16,color="magenta"];390 -> 563[label="",style="dashed", color="magenta", weight=3]; 390 -> 564[label="",style="dashed", color="magenta", weight=3]; 391 -> 19[label="",style="dashed", color="red", weight=0]; 391[label="yu32 == yu4002",fontsize=16,color="magenta"];391 -> 565[label="",style="dashed", color="magenta", weight=3]; 391 -> 566[label="",style="dashed", color="magenta", weight=3]; 392 -> 20[label="",style="dashed", color="red", weight=0]; 392[label="yu32 == yu4002",fontsize=16,color="magenta"];392 -> 567[label="",style="dashed", color="magenta", weight=3]; 392 -> 568[label="",style="dashed", color="magenta", weight=3]; 393 -> 21[label="",style="dashed", color="red", weight=0]; 393[label="yu32 == yu4002",fontsize=16,color="magenta"];393 -> 569[label="",style="dashed", color="magenta", weight=3]; 393 -> 570[label="",style="dashed", color="magenta", weight=3]; 394 -> 22[label="",style="dashed", color="red", weight=0]; 394[label="yu32 == yu4002",fontsize=16,color="magenta"];394 -> 571[label="",style="dashed", color="magenta", weight=3]; 394 -> 572[label="",style="dashed", color="magenta", weight=3]; 395 -> 23[label="",style="dashed", color="red", weight=0]; 395[label="yu32 == yu4002",fontsize=16,color="magenta"];395 -> 573[label="",style="dashed", color="magenta", weight=3]; 395 -> 574[label="",style="dashed", color="magenta", weight=3]; 396 -> 24[label="",style="dashed", color="red", weight=0]; 396[label="yu32 == yu4002",fontsize=16,color="magenta"];396 -> 575[label="",style="dashed", color="magenta", weight=3]; 396 -> 576[label="",style="dashed", color="magenta", weight=3]; 397 -> 25[label="",style="dashed", color="red", weight=0]; 397[label="yu32 == yu4002",fontsize=16,color="magenta"];397 -> 577[label="",style="dashed", color="magenta", weight=3]; 397 -> 578[label="",style="dashed", color="magenta", weight=3]; 398 -> 26[label="",style="dashed", color="red", weight=0]; 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yu4001",fontsize=16,color="magenta"];414 -> 611[label="",style="dashed", color="magenta", weight=3]; 414 -> 612[label="",style="dashed", color="magenta", weight=3]; 415 -> 29[label="",style="dashed", color="red", weight=0]; 415[label="yu31 == yu4001",fontsize=16,color="magenta"];415 -> 613[label="",style="dashed", color="magenta", weight=3]; 415 -> 614[label="",style="dashed", color="magenta", weight=3]; 416 -> 30[label="",style="dashed", color="red", weight=0]; 416[label="yu31 == yu4001",fontsize=16,color="magenta"];416 -> 615[label="",style="dashed", color="magenta", weight=3]; 416 -> 616[label="",style="dashed", color="magenta", weight=3]; 417 -> 31[label="",style="dashed", color="red", weight=0]; 417[label="yu31 == yu4001",fontsize=16,color="magenta"];417 -> 617[label="",style="dashed", color="magenta", weight=3]; 417 -> 618[label="",style="dashed", color="magenta", weight=3]; 418[label="yu4000",fontsize=16,color="green",shape="box"];419[label="yu30",fontsize=16,color="green",shape="box"];420[label="yu4000",fontsize=16,color="green",shape="box"];421[label="yu30",fontsize=16,color="green",shape="box"];422[label="yu4000",fontsize=16,color="green",shape="box"];423[label="yu30",fontsize=16,color="green",shape="box"];424[label="yu4000",fontsize=16,color="green",shape="box"];425[label="yu30",fontsize=16,color="green",shape="box"];426[label="yu4000",fontsize=16,color="green",shape="box"];427[label="yu30",fontsize=16,color="green",shape="box"];428[label="yu4000",fontsize=16,color="green",shape="box"];429[label="yu30",fontsize=16,color="green",shape="box"];430[label="yu4000",fontsize=16,color="green",shape="box"];431[label="yu30",fontsize=16,color="green",shape="box"];432[label="yu4000",fontsize=16,color="green",shape="box"];433[label="yu30",fontsize=16,color="green",shape="box"];434[label="yu4000",fontsize=16,color="green",shape="box"];435[label="yu30",fontsize=16,color="green",shape="box"];436[label="yu4000",fontsize=16,color="green",shape="box"];437[label="yu30",fontsize=16,color="green",shape="box"];438[label="yu4000",fontsize=16,color="green",shape="box"];439[label="yu30",fontsize=16,color="green",shape="box"];440[label="yu4000",fontsize=16,color="green",shape="box"];441[label="yu30",fontsize=16,color="green",shape="box"];442[label="yu4000",fontsize=16,color="green",shape="box"];443[label="yu30",fontsize=16,color="green",shape="box"];444[label="yu4000",fontsize=16,color="green",shape="box"];445[label="yu30",fontsize=16,color="green",shape="box"];446[label="False",fontsize=16,color="green",shape="box"];447[label="yu32",fontsize=16,color="green",shape="box"];448[label="primEqNat 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452[label="yu4000",fontsize=16,color="green",shape="box"];453[label="yu30",fontsize=16,color="green",shape="box"];454[label="yu4000",fontsize=16,color="green",shape="box"];455[label="yu30",fontsize=16,color="green",shape="box"];456[label="yu4000",fontsize=16,color="green",shape="box"];457[label="yu30",fontsize=16,color="green",shape="box"];458[label="yu4000",fontsize=16,color="green",shape="box"];459[label="yu30",fontsize=16,color="green",shape="box"];460[label="yu4000",fontsize=16,color="green",shape="box"];461[label="yu30",fontsize=16,color="green",shape="box"];462[label="yu4000",fontsize=16,color="green",shape="box"];463[label="yu30",fontsize=16,color="green",shape="box"];464[label="yu4000",fontsize=16,color="green",shape="box"];465[label="yu30",fontsize=16,color="green",shape="box"];466[label="yu4000",fontsize=16,color="green",shape="box"];467[label="yu30",fontsize=16,color="green",shape="box"];468[label="yu4000",fontsize=16,color="green",shape="box"];469[label="yu30",fontsize=16,color="green",shape="box"];470[label="yu4000",fontsize=16,color="green",shape="box"];471[label="yu30",fontsize=16,color="green",shape="box"];472[label="yu4000",fontsize=16,color="green",shape="box"];473[label="yu30",fontsize=16,color="green",shape="box"];474[label="yu4000",fontsize=16,color="green",shape="box"];475[label="yu30",fontsize=16,color="green",shape="box"];476[label="yu4000",fontsize=16,color="green",shape="box"];477[label="yu30",fontsize=16,color="green",shape="box"];478[label="yu4000",fontsize=16,color="green",shape="box"];479[label="yu30",fontsize=16,color="green",shape="box"];480[label="yu4001",fontsize=16,color="green",shape="box"];481[label="yu31",fontsize=16,color="green",shape="box"];482[label="yu4001",fontsize=16,color="green",shape="box"];483[label="yu31",fontsize=16,color="green",shape="box"];484[label="yu4001",fontsize=16,color="green",shape="box"];485[label="yu31",fontsize=16,color="green",shape="box"];486[label="yu4001",fontsize=16,color="green",shape="box"];487[label="yu31",fontsize=16,color="green",shape="box"];488[label="yu4001",fontsize=16,color="green",shape="box"];489[label="yu31",fontsize=16,color="green",shape="box"];490[label="yu4001",fontsize=16,color="green",shape="box"];491[label="yu31",fontsize=16,color="green",shape="box"];492[label="yu4001",fontsize=16,color="green",shape="box"];493[label="yu31",fontsize=16,color="green",shape="box"];494[label="yu4001",fontsize=16,color="green",shape="box"];495[label="yu31",fontsize=16,color="green",shape="box"];496[label="yu4001",fontsize=16,color="green",shape="box"];497[label="yu31",fontsize=16,color="green",shape="box"];498[label="yu4001",fontsize=16,color="green",shape="box"];499[label="yu31",fontsize=16,color="green",shape="box"];500[label="yu4001",fontsize=16,color="green",shape="box"];501[label="yu31",fontsize=16,color="green",shape="box"];502[label="yu4001",fontsize=16,color="green",shape="box"];503[label="yu31",fontsize=16,color="green",shape="box"];504[label="yu4001",fontsize=16,color="green",shape="box"];505[label="yu31",fontsize=16,color="green",shape="box"];506[label="yu4001",fontsize=16,color="green",shape="box"];507[label="yu31",fontsize=16,color="green",shape="box"];508[label="yu4000",fontsize=16,color="green",shape="box"];509[label="yu30",fontsize=16,color="green",shape="box"];510[label="yu4000",fontsize=16,color="green",shape="box"];511[label="yu30",fontsize=16,color="green",shape="box"];512[label="yu4000",fontsize=16,color="green",shape="box"];513[label="yu30",fontsize=16,color="green",shape="box"];514[label="yu4000",fontsize=16,color="green",shape="box"];515[label="yu30",fontsize=16,color="green",shape="box"];516[label="yu4000",fontsize=16,color="green",shape="box"];517[label="yu30",fontsize=16,color="green",shape="box"];518[label="yu4000",fontsize=16,color="green",shape="box"];519[label="yu30",fontsize=16,color="green",shape="box"];520[label="yu4000",fontsize=16,color="green",shape="box"];521[label="yu30",fontsize=16,color="green",shape="box"];522[label="yu4000",fontsize=16,color="green",shape="box"];523[label="yu30",fontsize=16,color="green",shape="box"];524[label="yu4000",fontsize=16,color="green",shape="box"];525[label="yu30",fontsize=16,color="green",shape="box"];526[label="yu4000",fontsize=16,color="green",shape="box"];527[label="yu30",fontsize=16,color="green",shape="box"];528[label="yu4000",fontsize=16,color="green",shape="box"];529[label="yu30",fontsize=16,color="green",shape="box"];530[label="yu4000",fontsize=16,color="green",shape="box"];531[label="yu30",fontsize=16,color="green",shape="box"];532[label="yu4000",fontsize=16,color="green",shape="box"];533[label="yu30",fontsize=16,color="green",shape="box"];534[label="yu4000",fontsize=16,color="green",shape="box"];535[label="yu30",fontsize=16,color="green",shape="box"];536[label="primMulInt yu31 yu4000",fontsize=16,color="burlywood",shape="box"];914[label="yu31/Pos yu310",fontsize=10,color="white",style="solid",shape="box"];536 -> 914[label="",style="solid", color="burlywood", weight=9]; 914 -> 623[label="",style="solid", color="burlywood", weight=3]; 915[label="yu31/Neg yu310",fontsize=10,color="white",style="solid",shape="box"];536 -> 915[label="",style="solid", color="burlywood", weight=9]; 915 -> 624[label="",style="solid", color="burlywood", weight=3]; 537[label="yu30",fontsize=16,color="green",shape="box"];538[label="yu4001",fontsize=16,color="green",shape="box"];539 -> 164[label="",style="dashed", color="red", weight=0]; 539[label="primEqNat yu300 yu40000",fontsize=16,color="magenta"];539 -> 625[label="",style="dashed", color="magenta", weight=3]; 539 -> 626[label="",style="dashed", color="magenta", weight=3]; 540[label="False",fontsize=16,color="green",shape="box"];541[label="False",fontsize=16,color="green",shape="box"];542[label="True",fontsize=16,color="green",shape="box"];543[label="False",fontsize=16,color="green",shape="box"];544[label="True",fontsize=16,color="green",shape="box"];545 -> 164[label="",style="dashed", color="red", weight=0]; 545[label="primEqNat yu300 yu40000",fontsize=16,color="magenta"];545 -> 627[label="",style="dashed", color="magenta", weight=3]; 545 -> 628[label="",style="dashed", color="magenta", weight=3]; 546[label="False",fontsize=16,color="green",shape="box"];547[label="False",fontsize=16,color="green",shape="box"];548[label="True",fontsize=16,color="green",shape="box"];549[label="False",fontsize=16,color="green",shape="box"];550[label="True",fontsize=16,color="green",shape="box"];551[label="yu31",fontsize=16,color="green",shape="box"];552[label="yu4000",fontsize=16,color="green",shape="box"];553[label="yu30",fontsize=16,color="green",shape="box"];554[label="yu4001",fontsize=16,color="green",shape="box"];555[label="yu4001",fontsize=16,color="green",shape="box"];556[label="yu31",fontsize=16,color="green",shape="box"];557[label="yu4001",fontsize=16,color="green",shape="box"];558[label="yu31",fontsize=16,color="green",shape="box"];559[label="yu4000",fontsize=16,color="green",shape="box"];560[label="yu30",fontsize=16,color="green",shape="box"];561[label="yu4000",fontsize=16,color="green",shape="box"];562[label="yu30",fontsize=16,color="green",shape="box"];563[label="yu4002",fontsize=16,color="green",shape="box"];564[label="yu32",fontsize=16,color="green",shape="box"];565[label="yu4002",fontsize=16,color="green",shape="box"];566[label="yu32",fontsize=16,color="green",shape="box"];567[label="yu4002",fontsize=16,color="green",shape="box"];568[label="yu32",fontsize=16,color="green",shape="box"];569[label="yu4002",fontsize=16,color="green",shape="box"];570[label="yu32",fontsize=16,color="green",shape="box"];571[label="yu4002",fontsize=16,color="green",shape="box"];572[label="yu32",fontsize=16,color="green",shape="box"];573[label="yu4002",fontsize=16,color="green",shape="box"];574[label="yu32",fontsize=16,color="green",shape="box"];575[label="yu4002",fontsize=16,color="green",shape="box"];576[label="yu32",fontsize=16,color="green",shape="box"];577[label="yu4002",fontsize=16,color="green",shape="box"];578[label="yu32",fontsize=16,color="green",shape="box"];579[label="yu4002",fontsize=16,color="green",shape="box"];580[label="yu32",fontsize=16,color="green",shape="box"];581[label="yu4002",fontsize=16,color="green",shape="box"];582[label="yu32",fontsize=16,color="green",shape="box"];583[label="yu4002",fontsize=16,color="green",shape="box"];584[label="yu32",fontsize=16,color="green",shape="box"];585[label="yu4002",fontsize=16,color="green",shape="box"];586[label="yu32",fontsize=16,color="green",shape="box"];587[label="yu4002",fontsize=16,color="green",shape="box"];588[label="yu32",fontsize=16,color="green",shape="box"];589[label="yu4002",fontsize=16,color="green",shape="box"];590[label="yu32",fontsize=16,color="green",shape="box"];591[label="yu4001",fontsize=16,color="green",shape="box"];592[label="yu31",fontsize=16,color="green",shape="box"];593[label="yu4001",fontsize=16,color="green",shape="box"];594[label="yu31",fontsize=16,color="green",shape="box"];595[label="yu4001",fontsize=16,color="green",shape="box"];596[label="yu31",fontsize=16,color="green",shape="box"];597[label="yu4001",fontsize=16,color="green",shape="box"];598[label="yu31",fontsize=16,color="green",shape="box"];599[label="yu4001",fontsize=16,color="green",shape="box"];600[label="yu31",fontsize=16,color="green",shape="box"];601[label="yu4001",fontsize=16,color="green",shape="box"];602[label="yu31",fontsize=16,color="green",shape="box"];603[label="yu4001",fontsize=16,color="green",shape="box"];604[label="yu31",fontsize=16,color="green",shape="box"];605[label="yu4001",fontsize=16,color="green",shape="box"];606[label="yu31",fontsize=16,color="green",shape="box"];607[label="yu4001",fontsize=16,color="green",shape="box"];608[label="yu31",fontsize=16,color="green",shape="box"];609[label="yu4001",fontsize=16,color="green",shape="box"];610[label="yu31",fontsize=16,color="green",shape="box"];611[label="yu4001",fontsize=16,color="green",shape="box"];612[label="yu31",fontsize=16,color="green",shape="box"];613[label="yu4001",fontsize=16,color="green",shape="box"];614[label="yu31",fontsize=16,color="green",shape="box"];615[label="yu4001",fontsize=16,color="green",shape="box"];616[label="yu31",fontsize=16,color="green",shape="box"];617[label="yu4001",fontsize=16,color="green",shape="box"];618[label="yu31",fontsize=16,color="green",shape="box"];619 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yu4000",fontsize=16,color="burlywood",shape="box"];918[label="yu4000/Pos yu40000",fontsize=10,color="white",style="solid",shape="box"];624 -> 918[label="",style="solid", color="burlywood", weight=9]; 918 -> 633[label="",style="solid", color="burlywood", weight=3]; 919[label="yu4000/Neg yu40000",fontsize=10,color="white",style="solid",shape="box"];624 -> 919[label="",style="solid", color="burlywood", weight=9]; 919 -> 634[label="",style="solid", color="burlywood", weight=3]; 625[label="yu40000",fontsize=16,color="green",shape="box"];626[label="yu300",fontsize=16,color="green",shape="box"];627[label="yu40000",fontsize=16,color="green",shape="box"];628[label="yu300",fontsize=16,color="green",shape="box"];629[label="yu40000",fontsize=16,color="green",shape="box"];630[label="yu300",fontsize=16,color="green",shape="box"];631[label="primMulInt (Pos yu310) (Pos yu40000)",fontsize=16,color="black",shape="box"];631 -> 635[label="",style="solid", color="black", weight=3]; 632[label="primMulInt 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639[label="primMulNat yu310 yu40000",fontsize=16,color="burlywood",shape="triangle"];920[label="yu310/Succ yu3100",fontsize=10,color="white",style="solid",shape="box"];639 -> 920[label="",style="solid", color="burlywood", weight=9]; 920 -> 643[label="",style="solid", color="burlywood", weight=3]; 921[label="yu310/Zero",fontsize=10,color="white",style="solid",shape="box"];639 -> 921[label="",style="solid", color="burlywood", weight=9]; 921 -> 644[label="",style="solid", color="burlywood", weight=3]; 640 -> 639[label="",style="dashed", color="red", weight=0]; 640[label="primMulNat yu310 yu40000",fontsize=16,color="magenta"];640 -> 645[label="",style="dashed", color="magenta", weight=3]; 641 -> 639[label="",style="dashed", color="red", weight=0]; 641[label="primMulNat yu310 yu40000",fontsize=16,color="magenta"];641 -> 646[label="",style="dashed", color="magenta", weight=3]; 642 -> 639[label="",style="dashed", color="red", weight=0]; 642[label="primMulNat yu310 yu40000",fontsize=16,color="magenta"];642 -> 647[label="",style="dashed", color="magenta", weight=3]; 642 -> 648[label="",style="dashed", color="magenta", weight=3]; 643[label="primMulNat (Succ yu3100) yu40000",fontsize=16,color="burlywood",shape="box"];922[label="yu40000/Succ yu400000",fontsize=10,color="white",style="solid",shape="box"];643 -> 922[label="",style="solid", color="burlywood", weight=9]; 922 -> 649[label="",style="solid", color="burlywood", weight=3]; 923[label="yu40000/Zero",fontsize=10,color="white",style="solid",shape="box"];643 -> 923[label="",style="solid", color="burlywood", weight=9]; 923 -> 650[label="",style="solid", color="burlywood", weight=3]; 644[label="primMulNat Zero yu40000",fontsize=16,color="burlywood",shape="box"];924[label="yu40000/Succ yu400000",fontsize=10,color="white",style="solid",shape="box"];644 -> 924[label="",style="solid", color="burlywood", weight=9]; 924 -> 651[label="",style="solid", color="burlywood", weight=3]; 925[label="yu40000/Zero",fontsize=10,color="white",style="solid",shape="box"];644 -> 925[label="",style="solid", color="burlywood", weight=9]; 925 -> 652[label="",style="solid", color="burlywood", weight=3]; 645[label="yu40000",fontsize=16,color="green",shape="box"];646[label="yu310",fontsize=16,color="green",shape="box"];647[label="yu310",fontsize=16,color="green",shape="box"];648[label="yu40000",fontsize=16,color="green",shape="box"];649[label="primMulNat (Succ yu3100) (Succ yu400000)",fontsize=16,color="black",shape="box"];649 -> 653[label="",style="solid", color="black", weight=3]; 650[label="primMulNat (Succ yu3100) Zero",fontsize=16,color="black",shape="box"];650 -> 654[label="",style="solid", color="black", weight=3]; 651[label="primMulNat Zero (Succ yu400000)",fontsize=16,color="black",shape="box"];651 -> 655[label="",style="solid", color="black", weight=3]; 652[label="primMulNat Zero Zero",fontsize=16,color="black",shape="box"];652 -> 656[label="",style="solid", color="black", weight=3]; 653 -> 657[label="",style="dashed", color="red", weight=0]; 653[label="primPlusNat (primMulNat yu3100 (Succ yu400000)) (Succ yu400000)",fontsize=16,color="magenta"];653 -> 658[label="",style="dashed", color="magenta", weight=3]; 654[label="Zero",fontsize=16,color="green",shape="box"];655[label="Zero",fontsize=16,color="green",shape="box"];656[label="Zero",fontsize=16,color="green",shape="box"];658 -> 639[label="",style="dashed", color="red", weight=0]; 658[label="primMulNat yu3100 (Succ yu400000)",fontsize=16,color="magenta"];658 -> 659[label="",style="dashed", color="magenta", weight=3]; 658 -> 660[label="",style="dashed", color="magenta", weight=3]; 657[label="primPlusNat yu33 (Succ yu400000)",fontsize=16,color="burlywood",shape="triangle"];926[label="yu33/Succ yu330",fontsize=10,color="white",style="solid",shape="box"];657 -> 926[label="",style="solid", color="burlywood", weight=9]; 926 -> 661[label="",style="solid", color="burlywood", weight=3]; 927[label="yu33/Zero",fontsize=10,color="white",style="solid",shape="box"];657 -> 927[label="",style="solid", color="burlywood", weight=9]; 927 -> 662[label="",style="solid", color="burlywood", weight=3]; 659[label="yu3100",fontsize=16,color="green",shape="box"];660[label="Succ yu400000",fontsize=16,color="green",shape="box"];661[label="primPlusNat (Succ yu330) (Succ yu400000)",fontsize=16,color="black",shape="box"];661 -> 663[label="",style="solid", color="black", weight=3]; 662[label="primPlusNat Zero (Succ yu400000)",fontsize=16,color="black",shape="box"];662 -> 664[label="",style="solid", color="black", weight=3]; 663[label="Succ (Succ (primPlusNat yu330 yu400000))",fontsize=16,color="green",shape="box"];663 -> 665[label="",style="dashed", color="green", weight=3]; 664[label="Succ yu400000",fontsize=16,color="green",shape="box"];665[label="primPlusNat yu330 yu400000",fontsize=16,color="burlywood",shape="triangle"];928[label="yu330/Succ yu3300",fontsize=10,color="white",style="solid",shape="box"];665 -> 928[label="",style="solid", color="burlywood", weight=9]; 928 -> 666[label="",style="solid", color="burlywood", weight=3]; 929[label="yu330/Zero",fontsize=10,color="white",style="solid",shape="box"];665 -> 929[label="",style="solid", color="burlywood", weight=9]; 929 -> 667[label="",style="solid", color="burlywood", weight=3]; 666[label="primPlusNat (Succ yu3300) yu400000",fontsize=16,color="burlywood",shape="box"];930[label="yu400000/Succ yu4000000",fontsize=10,color="white",style="solid",shape="box"];666 -> 930[label="",style="solid", color="burlywood", weight=9]; 930 -> 668[label="",style="solid", color="burlywood", weight=3]; 931[label="yu400000/Zero",fontsize=10,color="white",style="solid",shape="box"];666 -> 931[label="",style="solid", color="burlywood", weight=9]; 931 -> 669[label="",style="solid", color="burlywood", weight=3]; 667[label="primPlusNat Zero yu400000",fontsize=16,color="burlywood",shape="box"];932[label="yu400000/Succ yu4000000",fontsize=10,color="white",style="solid",shape="box"];667 -> 932[label="",style="solid", color="burlywood", weight=9]; 932 -> 670[label="",style="solid", color="burlywood", weight=3]; 933[label="yu400000/Zero",fontsize=10,color="white",style="solid",shape="box"];667 -> 933[label="",style="solid", color="burlywood", weight=9]; 933 -> 671[label="",style="solid", color="burlywood", weight=3]; 668[label="primPlusNat (Succ yu3300) (Succ yu4000000)",fontsize=16,color="black",shape="box"];668 -> 672[label="",style="solid", color="black", weight=3]; 669[label="primPlusNat (Succ yu3300) Zero",fontsize=16,color="black",shape="box"];669 -> 673[label="",style="solid", color="black", weight=3]; 670[label="primPlusNat Zero (Succ yu4000000)",fontsize=16,color="black",shape="box"];670 -> 674[label="",style="solid", color="black", weight=3]; 671[label="primPlusNat Zero Zero",fontsize=16,color="black",shape="box"];671 -> 675[label="",style="solid", color="black", weight=3]; 672[label="Succ (Succ (primPlusNat yu3300 yu4000000))",fontsize=16,color="green",shape="box"];672 -> 676[label="",style="dashed", color="green", weight=3]; 673[label="Succ yu3300",fontsize=16,color="green",shape="box"];674[label="Succ yu4000000",fontsize=16,color="green",shape="box"];675[label="Zero",fontsize=16,color="green",shape="box"];676 -> 665[label="",style="dashed", color="red", weight=0]; 676[label="primPlusNat yu3300 yu4000000",fontsize=16,color="magenta"];676 -> 677[label="",style="dashed", color="magenta", weight=3]; 676 -> 678[label="",style="dashed", color="magenta", weight=3]; 677[label="yu4000000",fontsize=16,color="green",shape="box"];678[label="yu3300",fontsize=16,color="green",shape="box"];} ---------------------------------------- (6) Complex Obligation (AND) ---------------------------------------- (7) Obligation: Q DP problem: The TRS P consists of the following rules: new_lookup(yu3, :(@2(yu400, yu401), yu41), bb, bc) -> new_lookup1(yu3, yu400, yu401, yu41, new_esEs4(yu3, yu400, bc), bb, bc) new_lookup1(yu11, yu12, yu13, yu14, False, h, ba) -> new_lookup(yu11, yu14, h, ba) The TRS R consists of the following rules: new_esEs23(yu31, yu4001, ty_Int) -> new_esEs6(yu31, yu4001) new_esEs23(yu31, yu4001, ty_Bool) -> new_esEs11(yu31, yu4001) new_primEqInt(Pos(Zero), Pos(Zero)) -> True new_primPlusNat0(Zero, Zero) -> Zero new_esEs21(yu31, yu4001, ty_Double) -> new_esEs5(yu31, yu4001) new_esEs20(yu32, yu4002, ty_Integer) -> new_esEs15(yu32, yu4002) new_esEs20(yu32, yu4002, ty_Ordering) -> new_esEs16(yu32, yu4002) new_esEs4(yu3, yu400, ty_Bool) -> new_esEs11(yu3, yu400) new_esEs23(yu31, yu4001, ty_Char) -> new_esEs13(yu31, yu4001) new_esEs4(yu3, yu400, ty_Char) -> new_esEs13(yu3, yu400) new_esEs9(Right(yu30), Right(yu4000), ec, ty_@0) -> new_esEs10(yu30, yu4000) new_esEs22(yu30, yu4000, ty_Integer) -> new_esEs15(yu30, yu4000) new_esEs22(yu30, yu4000, app(app(app(ty_@3, bah), bba), bbb)) -> new_esEs12(yu30, yu4000, bah, bba, bbb) new_esEs16(GT, GT) -> True new_esEs22(yu30, yu4000, ty_Float) -> new_esEs17(yu30, yu4000) new_primMulNat0(Succ(yu3100), Succ(yu400000)) -> new_primPlusNat1(new_primMulNat0(yu3100, Succ(yu400000)), yu400000) new_esEs9(Left(yu30), Left(yu4000), app(app(ty_Either, cg), da), db) -> new_esEs9(yu30, yu4000, cg, da) new_esEs8(yu30, yu4000, ty_Integer) -> new_esEs15(yu30, yu4000) new_esEs15(Integer(yu30), Integer(yu4000)) -> new_primEqInt(yu30, yu4000) new_esEs4(yu3, yu400, ty_Double) -> new_esEs5(yu3, yu400) new_esEs24(yu30, yu4000, app(ty_Ratio, bee)) -> new_esEs19(yu30, yu4000, bee) new_esEs25(yu31, yu4001, ty_Int) -> new_esEs6(yu31, yu4001) new_esEs8(yu30, yu4000, app(app(ty_Either, be), bf)) -> new_esEs9(yu30, yu4000, be, bf) new_asAs(True, yu32) -> yu32 new_esEs21(yu31, yu4001, ty_@0) -> new_esEs10(yu31, yu4001) new_esEs24(yu30, yu4000, app(ty_[], bea)) -> new_esEs7(yu30, yu4000, bea) new_primEqInt(Pos(Succ(yu300)), Pos(Zero)) -> False new_primEqInt(Pos(Zero), Pos(Succ(yu40000))) -> False new_esEs21(yu31, yu4001, app(ty_[], baa)) -> new_esEs7(yu31, yu4001, baa) new_esEs24(yu30, yu4000, ty_@0) -> new_esEs10(yu30, yu4000) new_esEs24(yu30, yu4000, ty_Integer) -> new_esEs15(yu30, yu4000) new_esEs19(:%(yu30, yu31), :%(yu4000, yu4001), bef) -> new_asAs(new_esEs26(yu30, yu4000, bef), new_esEs25(yu31, yu4001, bef)) new_esEs4(yu3, yu400, ty_Int) -> new_esEs6(yu3, yu400) new_primEqNat0(Succ(yu300), Succ(yu40000)) -> new_primEqNat0(yu300, yu40000) new_esEs21(yu31, yu4001, app(ty_Maybe, bad)) -> new_esEs18(yu31, yu4001, bad) new_esEs16(EQ, GT) -> False new_esEs16(GT, EQ) -> False new_esEs8(yu30, yu4000, ty_Ordering) -> new_esEs16(yu30, yu4000) new_esEs24(yu30, yu4000, app(app(app(ty_@3, bdf), bdg), bdh)) -> new_esEs12(yu30, yu4000, bdf, bdg, bdh) new_esEs24(yu30, yu4000, ty_Float) -> new_esEs17(yu30, yu4000) new_esEs24(yu30, yu4000, ty_Ordering) -> new_esEs16(yu30, yu4000) new_esEs4(yu3, yu400, app(app(ty_@2, bbh), bca)) -> new_esEs14(yu3, yu400, bbh, bca) new_esEs4(yu3, yu400, app(ty_Maybe, beg)) -> new_esEs18(yu3, yu400, beg) new_esEs9(Left(yu30), Left(yu4000), app(ty_Ratio, eb), db) -> new_esEs19(yu30, yu4000, eb) new_esEs25(yu31, yu4001, ty_Integer) -> new_esEs15(yu31, yu4001) new_primMulNat0(Zero, Zero) -> Zero new_esEs23(yu31, yu4001, ty_@0) -> new_esEs10(yu31, yu4001) new_esEs8(yu30, yu4000, ty_Int) -> new_esEs6(yu30, yu4000) new_esEs22(yu30, yu4000, app(ty_Ratio, bbg)) -> new_esEs19(yu30, yu4000, bbg) new_esEs9(Right(yu30), Right(yu4000), ec, ty_Char) -> new_esEs13(yu30, yu4000) new_esEs26(yu30, yu4000, ty_Integer) -> new_esEs15(yu30, yu4000) new_esEs9(Right(yu30), Right(yu4000), ec, app(ty_Ratio, ff)) -> new_esEs19(yu30, yu4000, ff) new_esEs17(Float(yu30, yu31), Float(yu4000, yu4001)) -> new_esEs6(new_sr(yu30, yu4001), new_sr(yu31, yu4000)) new_esEs8(yu30, yu4000, ty_Float) -> new_esEs17(yu30, yu4000) new_esEs8(yu30, yu4000, ty_Bool) -> new_esEs11(yu30, yu4000) new_esEs18(Just(yu30), Just(yu4000), app(ty_Maybe, bfh)) -> new_esEs18(yu30, yu4000, bfh) new_primEqNat0(Succ(yu300), Zero) -> False new_primEqNat0(Zero, Succ(yu40000)) -> False new_esEs22(yu30, yu4000, ty_@0) -> new_esEs10(yu30, yu4000) new_esEs23(yu31, yu4001, app(ty_Maybe, bdb)) -> new_esEs18(yu31, yu4001, bdb) new_esEs14(@2(yu30, yu31), @2(yu4000, yu4001), bbh, bca) -> new_asAs(new_esEs24(yu30, yu4000, bbh), new_esEs23(yu31, yu4001, bca)) new_esEs26(yu30, yu4000, ty_Int) -> new_esEs6(yu30, yu4000) new_esEs9(Left(yu30), Left(yu4000), ty_Char, db) -> new_esEs13(yu30, yu4000) new_esEs9(Left(yu30), Right(yu4000), ec, db) -> False new_esEs9(Right(yu30), Left(yu4000), ec, db) -> False new_esEs22(yu30, yu4000, app(app(ty_Either, baf), bag)) -> new_esEs9(yu30, yu4000, baf, bag) new_esEs16(LT, EQ) -> False new_esEs16(EQ, LT) -> False new_esEs4(yu3, yu400, app(ty_Ratio, bef)) -> new_esEs19(yu3, yu400, bef) new_esEs9(Left(yu30), Left(yu4000), app(ty_Maybe, ea), db) -> new_esEs18(yu30, yu4000, ea) new_primEqInt(Neg(Succ(yu300)), Neg(Zero)) -> False new_primEqInt(Neg(Zero), Neg(Succ(yu40000))) -> False new_esEs22(yu30, yu4000, app(ty_Maybe, bbf)) -> new_esEs18(yu30, yu4000, bbf) new_esEs18(Just(yu30), Just(yu4000), app(ty_Ratio, bga)) -> new_esEs19(yu30, yu4000, bga) new_esEs8(yu30, yu4000, ty_Double) -> new_esEs5(yu30, yu4000) new_esEs21(yu31, yu4001, ty_Bool) -> new_esEs11(yu31, yu4001) new_primEqInt(Pos(Succ(yu300)), Pos(Succ(yu40000))) -> new_primEqNat0(yu300, yu40000) new_esEs4(yu3, yu400, app(app(ty_Either, ec), db)) -> new_esEs9(yu3, yu400, ec, db) new_esEs23(yu31, yu4001, app(app(ty_Either, bcb), bcc)) -> new_esEs9(yu31, yu4001, bcb, bcc) new_esEs20(yu32, yu4002, app(ty_[], gg)) -> new_esEs7(yu32, yu4002, gg) new_esEs9(Right(yu30), Right(yu4000), ec, app(ty_Maybe, fd)) -> new_esEs18(yu30, yu4000, fd) new_esEs7([], [], bd) -> True new_sr(Pos(yu310), Neg(yu40000)) -> Neg(new_primMulNat0(yu310, yu40000)) new_sr(Neg(yu310), Pos(yu40000)) -> Neg(new_primMulNat0(yu310, yu40000)) new_esEs4(yu3, yu400, ty_@0) -> new_esEs10(yu3, yu400) new_esEs8(yu30, yu4000, app(app(ty_@2, cc), cd)) -> new_esEs14(yu30, yu4000, cc, cd) new_esEs18(Just(yu30), Just(yu4000), app(app(ty_Either, beh), bfa)) -> new_esEs9(yu30, yu4000, beh, bfa) new_primEqInt(Pos(Succ(yu300)), Neg(yu4000)) -> False new_primEqInt(Neg(Succ(yu300)), Pos(yu4000)) -> False new_esEs9(Right(yu30), Right(yu4000), ec, app(app(ty_Either, ed), ee)) -> new_esEs9(yu30, yu4000, ed, ee) new_esEs11(True, True) -> True new_esEs18(Just(yu30), Just(yu4000), app(app(app(ty_@3, bfb), bfc), bfd)) -> new_esEs12(yu30, yu4000, bfb, bfc, bfd) new_esEs7(:(yu30, yu31), [], bd) -> False new_esEs7([], :(yu4000, yu4001), bd) -> False new_esEs21(yu31, yu4001, app(app(ty_@2, bab), bac)) -> new_esEs14(yu31, yu4001, bab, bac) new_esEs23(yu31, yu4001, app(ty_Ratio, bdc)) -> new_esEs19(yu31, yu4001, bdc) new_esEs20(yu32, yu4002, ty_Float) -> new_esEs17(yu32, yu4002) new_esEs16(EQ, EQ) -> True new_esEs21(yu31, yu4001, ty_Int) -> new_esEs6(yu31, yu4001) new_esEs18(Just(yu30), Just(yu4000), ty_@0) -> new_esEs10(yu30, yu4000) new_esEs9(Left(yu30), Left(yu4000), ty_@0, db) -> new_esEs10(yu30, yu4000) new_esEs9(Right(yu30), Right(yu4000), ec, ty_Ordering) -> new_esEs16(yu30, yu4000) new_esEs8(yu30, yu4000, ty_@0) -> new_esEs10(yu30, yu4000) new_esEs21(yu31, yu4001, ty_Integer) -> new_esEs15(yu31, yu4001) new_esEs13(Char(yu30), Char(yu4000)) -> new_primEqNat0(yu30, yu4000) new_esEs11(False, True) -> False new_esEs11(True, False) -> False new_esEs7(:(yu30, yu31), :(yu4000, yu4001), bd) -> new_asAs(new_esEs8(yu30, yu4000, bd), new_esEs7(yu31, yu4001, bd)) new_esEs20(yu32, yu4002, app(app(ty_@2, gh), ha)) -> new_esEs14(yu32, yu4002, gh, ha) new_esEs23(yu31, yu4001, ty_Float) -> new_esEs17(yu31, yu4001) new_esEs4(yu3, yu400, ty_Float) -> new_esEs17(yu3, yu400) new_sr(Neg(yu310), Neg(yu40000)) -> Pos(new_primMulNat0(yu310, yu40000)) new_esEs4(yu3, yu400, app(app(app(ty_@3, fg), fh), ga)) -> new_esEs12(yu3, yu400, fg, fh, ga) new_esEs23(yu31, yu4001, app(app(app(ty_@3, bcd), bce), bcf)) -> new_esEs12(yu31, yu4001, bcd, bce, bcf) new_esEs20(yu32, yu4002, ty_Double) -> new_esEs5(yu32, yu4002) new_esEs18(Just(yu30), Just(yu4000), ty_Char) -> new_esEs13(yu30, yu4000) new_esEs22(yu30, yu4000, ty_Bool) -> new_esEs11(yu30, yu4000) new_esEs20(yu32, yu4002, app(ty_Maybe, hb)) -> new_esEs18(yu32, yu4002, hb) new_esEs22(yu30, yu4000, ty_Int) -> new_esEs6(yu30, yu4000) new_primEqInt(Pos(Zero), Neg(Succ(yu40000))) -> False new_primEqInt(Neg(Zero), Pos(Succ(yu40000))) -> False new_esEs16(LT, LT) -> True new_esEs24(yu30, yu4000, ty_Char) -> new_esEs13(yu30, yu4000) new_esEs8(yu30, yu4000, app(ty_Ratio, cf)) -> new_esEs19(yu30, yu4000, cf) new_primPlusNat0(Succ(yu3300), Succ(yu4000000)) -> Succ(Succ(new_primPlusNat0(yu3300, yu4000000))) new_esEs10(@0, @0) -> True new_esEs6(yu3, yu400) -> new_primEqInt(yu3, yu400) new_primEqInt(Neg(Succ(yu300)), Neg(Succ(yu40000))) -> new_primEqNat0(yu300, yu40000) new_esEs9(Left(yu30), Left(yu4000), app(app(app(ty_@3, dc), dd), de), db) -> new_esEs12(yu30, yu4000, dc, dd, de) new_esEs20(yu32, yu4002, ty_Int) -> new_esEs6(yu32, yu4002) new_esEs21(yu31, yu4001, ty_Float) -> new_esEs17(yu31, yu4001) new_esEs22(yu30, yu4000, app(app(ty_@2, bbd), bbe)) -> new_esEs14(yu30, yu4000, bbd, bbe) new_esEs21(yu31, yu4001, app(app(app(ty_@3, hf), hg), hh)) -> new_esEs12(yu31, yu4001, hf, hg, hh) new_esEs9(Left(yu30), Left(yu4000), app(app(ty_@2, dg), dh), db) -> new_esEs14(yu30, yu4000, dg, dh) new_esEs24(yu30, yu4000, app(app(ty_Either, bdd), bde)) -> new_esEs9(yu30, yu4000, bdd, bde) new_esEs8(yu30, yu4000, app(ty_[], cb)) -> new_esEs7(yu30, yu4000, cb) new_esEs22(yu30, yu4000, ty_Double) -> new_esEs5(yu30, yu4000) new_esEs18(Just(yu30), Just(yu4000), ty_Int) -> new_esEs6(yu30, yu4000) new_primMulNat0(Succ(yu3100), Zero) -> Zero new_primMulNat0(Zero, Succ(yu400000)) -> Zero new_sr(Pos(yu310), Pos(yu40000)) -> Pos(new_primMulNat0(yu310, yu40000)) new_esEs9(Left(yu30), Left(yu4000), ty_Bool, db) -> new_esEs11(yu30, yu4000) new_esEs20(yu32, yu4002, ty_Bool) -> new_esEs11(yu32, yu4002) new_esEs9(Left(yu30), Left(yu4000), ty_Int, db) -> new_esEs6(yu30, yu4000) new_esEs21(yu31, yu4001, ty_Ordering) -> new_esEs16(yu31, yu4001) new_esEs8(yu30, yu4000, app(ty_Maybe, ce)) -> new_esEs18(yu30, yu4000, ce) new_primPlusNat1(Succ(yu330), yu400000) -> Succ(Succ(new_primPlusNat0(yu330, yu400000))) new_esEs22(yu30, yu4000, ty_Char) -> new_esEs13(yu30, yu4000) new_esEs18(Just(yu30), Just(yu4000), ty_Bool) -> new_esEs11(yu30, yu4000) new_esEs9(Right(yu30), Right(yu4000), ec, app(app(ty_@2, fb), fc)) -> new_esEs14(yu30, yu4000, fb, fc) new_esEs9(Right(yu30), Right(yu4000), ec, app(ty_[], fa)) -> new_esEs7(yu30, yu4000, fa) new_esEs24(yu30, yu4000, app(ty_Maybe, bed)) -> new_esEs18(yu30, yu4000, bed) new_esEs22(yu30, yu4000, app(ty_[], bbc)) -> new_esEs7(yu30, yu4000, bbc) new_primPlusNat0(Succ(yu3300), Zero) -> Succ(yu3300) new_primPlusNat0(Zero, Succ(yu4000000)) -> Succ(yu4000000) new_esEs24(yu30, yu4000, app(app(ty_@2, beb), bec)) -> new_esEs14(yu30, yu4000, beb, bec) new_esEs8(yu30, yu4000, ty_Char) -> new_esEs13(yu30, yu4000) new_primEqInt(Neg(Zero), Neg(Zero)) -> True new_esEs21(yu31, yu4001, app(ty_Ratio, bae)) -> new_esEs19(yu31, yu4001, bae) new_primPlusNat1(Zero, yu400000) -> Succ(yu400000) new_esEs18(Just(yu30), Just(yu4000), app(app(ty_@2, bff), bfg)) -> new_esEs14(yu30, yu4000, bff, bfg) new_esEs21(yu31, yu4001, app(app(ty_Either, hd), he)) -> new_esEs9(yu31, yu4001, hd, he) new_esEs8(yu30, yu4000, app(app(app(ty_@3, bg), bh), ca)) -> new_esEs12(yu30, yu4000, bg, bh, ca) new_esEs18(Just(yu30), Just(yu4000), ty_Integer) -> new_esEs15(yu30, yu4000) new_esEs16(LT, GT) -> False new_esEs16(GT, LT) -> False new_esEs18(Just(yu30), Just(yu4000), ty_Ordering) -> new_esEs16(yu30, yu4000) new_esEs9(Right(yu30), Right(yu4000), ec, ty_Bool) -> new_esEs11(yu30, yu4000) new_esEs9(Left(yu30), Left(yu4000), ty_Double, db) -> new_esEs5(yu30, yu4000) new_esEs9(Right(yu30), Right(yu4000), ec, ty_Float) -> new_esEs17(yu30, yu4000) new_esEs23(yu31, yu4001, ty_Ordering) -> new_esEs16(yu31, yu4001) new_esEs12(@3(yu30, yu31, yu32), @3(yu4000, yu4001, yu4002), fg, fh, ga) -> new_asAs(new_esEs22(yu30, yu4000, fg), new_asAs(new_esEs21(yu31, yu4001, fh), new_esEs20(yu32, yu4002, ga))) new_esEs4(yu3, yu400, ty_Integer) -> new_esEs15(yu3, yu400) new_esEs23(yu31, yu4001, app(ty_[], bcg)) -> new_esEs7(yu31, yu4001, bcg) new_esEs24(yu30, yu4000, ty_Double) -> new_esEs5(yu30, yu4000) new_primEqInt(Pos(Zero), Neg(Zero)) -> True new_primEqInt(Neg(Zero), Pos(Zero)) -> True new_esEs23(yu31, yu4001, app(app(ty_@2, bch), bda)) -> new_esEs14(yu31, yu4001, bch, bda) new_esEs9(Right(yu30), Right(yu4000), ec, ty_Int) -> new_esEs6(yu30, yu4000) new_esEs20(yu32, yu4002, ty_Char) -> new_esEs13(yu32, yu4002) new_esEs9(Right(yu30), Right(yu4000), ec, app(app(app(ty_@3, ef), eg), eh)) -> new_esEs12(yu30, yu4000, ef, eg, eh) new_esEs18(Just(yu30), Just(yu4000), ty_Double) -> new_esEs5(yu30, yu4000) new_esEs23(yu31, yu4001, ty_Integer) -> new_esEs15(yu31, yu4001) new_primEqNat0(Zero, Zero) -> True new_esEs18(Nothing, Nothing, beg) -> True new_esEs5(Double(yu30, yu31), Double(yu4000, yu4001)) -> new_esEs6(new_sr(yu30, yu4001), new_sr(yu31, yu4000)) new_esEs18(Just(yu30), Just(yu4000), app(ty_[], bfe)) -> new_esEs7(yu30, yu4000, bfe) new_esEs9(Right(yu30), Right(yu4000), ec, ty_Double) -> new_esEs5(yu30, yu4000) new_esEs20(yu32, yu4002, ty_@0) -> new_esEs10(yu32, yu4002) new_esEs9(Left(yu30), Left(yu4000), ty_Integer, db) -> new_esEs15(yu30, yu4000) new_esEs23(yu31, yu4001, ty_Double) -> new_esEs5(yu31, yu4001) new_esEs18(Nothing, Just(yu4000), beg) -> False new_esEs18(Just(yu30), Nothing, beg) -> False new_esEs9(Left(yu30), Left(yu4000), ty_Ordering, db) -> new_esEs16(yu30, yu4000) new_esEs22(yu30, yu4000, ty_Ordering) -> new_esEs16(yu30, yu4000) new_asAs(False, yu32) -> False new_esEs21(yu31, yu4001, ty_Char) -> new_esEs13(yu31, yu4001) new_esEs9(Right(yu30), Right(yu4000), ec, ty_Integer) -> new_esEs15(yu30, yu4000) new_esEs24(yu30, yu4000, ty_Int) -> new_esEs6(yu30, yu4000) new_esEs24(yu30, yu4000, ty_Bool) -> new_esEs11(yu30, yu4000) new_esEs11(False, False) -> True new_esEs20(yu32, yu4002, app(ty_Ratio, hc)) -> new_esEs19(yu32, yu4002, hc) new_esEs9(Left(yu30), Left(yu4000), app(ty_[], df), db) -> new_esEs7(yu30, yu4000, df) new_esEs9(Left(yu30), Left(yu4000), ty_Float, db) -> new_esEs17(yu30, yu4000) new_esEs18(Just(yu30), Just(yu4000), ty_Float) -> new_esEs17(yu30, yu4000) new_esEs4(yu3, yu400, app(ty_[], bd)) -> new_esEs7(yu3, yu400, bd) new_esEs20(yu32, yu4002, app(app(app(ty_@3, gd), ge), gf)) -> new_esEs12(yu32, yu4002, gd, ge, gf) new_esEs4(yu3, yu400, ty_Ordering) -> new_esEs16(yu3, yu400) new_esEs20(yu32, yu4002, app(app(ty_Either, gb), gc)) -> new_esEs9(yu32, yu4002, gb, gc) The set Q consists of the following terms: new_esEs9(Left(x0), Left(x1), ty_@0, x2) new_esEs18(Nothing, Just(x0), x1) new_esEs24(x0, x1, ty_Int) new_esEs18(Just(x0), Just(x1), ty_Bool) new_esEs23(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs9(Right(x0), Right(x1), x2, ty_@0) new_primEqInt(Pos(Zero), Pos(Succ(x0))) new_esEs24(x0, x1, app(ty_Maybe, x2)) new_primPlusNat0(Succ(x0), Zero) new_esEs24(x0, x1, app(app(ty_Either, x2), x3)) new_esEs9(Left(x0), Left(x1), app(app(app(ty_@3, x2), x3), x4), x5) new_esEs4(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs20(x0, x1, app(ty_Maybe, x2)) new_esEs17(Float(x0, x1), Float(x2, x3)) new_primEqInt(Neg(Succ(x0)), Neg(Zero)) new_esEs20(x0, x1, ty_Bool) new_esEs7([], [], x0) new_esEs9(Right(x0), Right(x1), x2, ty_Bool) new_primMulNat0(Zero, Zero) new_esEs14(@2(x0, x1), @2(x2, x3), x4, x5) new_primMulNat0(Succ(x0), Succ(x1)) new_esEs22(x0, x1, ty_Char) new_esEs22(x0, x1, ty_Int) new_primEqInt(Pos(Zero), Neg(Succ(x0))) new_primEqInt(Neg(Zero), Pos(Succ(x0))) new_esEs24(x0, x1, ty_Ordering) new_esEs22(x0, x1, app(app(ty_Either, x2), x3)) new_esEs22(x0, x1, app(ty_[], x2)) new_primPlusNat0(Zero, Succ(x0)) new_esEs7([], :(x0, x1), x2) new_esEs5(Double(x0, x1), Double(x2, x3)) new_primEqInt(Neg(Succ(x0)), Neg(Succ(x1))) new_primEqInt(Pos(Zero), Pos(Zero)) new_esEs21(x0, x1, ty_Bool) new_esEs24(x0, x1, ty_Double) new_esEs20(x0, x1, ty_Integer) new_esEs13(Char(x0), Char(x1)) new_esEs25(x0, x1, ty_Int) new_esEs20(x0, x1, app(ty_[], x2)) new_primMulNat0(Succ(x0), Zero) new_esEs23(x0, x1, ty_@0) new_esEs22(x0, x1, ty_Ordering) new_esEs9(Right(x0), Right(x1), x2, app(ty_[], x3)) new_esEs16(EQ, EQ) new_esEs22(x0, x1, ty_Float) new_esEs9(Left(x0), Left(x1), ty_Bool, x2) new_esEs4(x0, x1, ty_Double) new_esEs24(x0, x1, ty_Char) new_primEqInt(Neg(Zero), Neg(Zero)) new_esEs20(x0, x1, ty_@0) new_esEs9(Left(x0), Left(x1), app(app(ty_Either, x2), x3), x4) new_primPlusNat0(Zero, Zero) new_primEqNat0(Zero, Succ(x0)) new_primMulNat0(Zero, Succ(x0)) new_esEs4(x0, x1, ty_Ordering) new_esEs4(x0, x1, app(app(ty_Either, x2), x3)) new_esEs22(x0, x1, ty_@0) new_esEs23(x0, x1, ty_Ordering) new_esEs21(x0, x1, ty_Int) new_esEs6(x0, x1) new_esEs8(x0, x1, app(ty_Maybe, x2)) new_primPlusNat1(Zero, x0) new_esEs4(x0, x1, ty_Bool) new_esEs9(Left(x0), Left(x1), app(ty_Maybe, x2), x3) new_esEs11(True, True) new_primEqNat0(Succ(x0), Zero) new_esEs9(Right(x0), Right(x1), x2, app(app(app(ty_@3, x3), x4), x5)) new_sr(Pos(x0), Pos(x1)) new_esEs22(x0, x1, ty_Double) new_esEs22(x0, x1, app(ty_Ratio, x2)) new_esEs23(x0, x1, app(ty_Ratio, x2)) new_esEs4(x0, x1, app(ty_[], x2)) new_primEqInt(Pos(Succ(x0)), Pos(Succ(x1))) new_esEs4(x0, x1, app(app(ty_@2, x2), x3)) new_esEs7(:(x0, x1), :(x2, x3), x4) new_sr(Pos(x0), Neg(x1)) new_sr(Neg(x0), Pos(x1)) new_esEs24(x0, x1, ty_@0) new_esEs11(False, True) new_esEs11(True, False) new_esEs21(x0, x1, ty_Char) new_esEs18(Just(x0), Just(x1), app(app(ty_@2, x2), x3)) new_esEs24(x0, x1, ty_Float) new_esEs9(Left(x0), Right(x1), x2, x3) new_esEs9(Right(x0), Left(x1), x2, x3) new_esEs21(x0, x1, ty_Float) new_esEs23(x0, x1, app(app(ty_@2, x2), x3)) new_esEs8(x0, x1, ty_Double) new_primEqInt(Pos(Zero), Neg(Zero)) new_primEqInt(Neg(Zero), Pos(Zero)) new_esEs20(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs23(x0, x1, app(ty_Maybe, x2)) new_esEs22(x0, x1, app(ty_Maybe, x2)) new_esEs18(Just(x0), Just(x1), ty_Int) new_esEs4(x0, x1, ty_Integer) new_esEs8(x0, x1, ty_Float) new_esEs9(Left(x0), Left(x1), app(ty_[], x2), x3) new_esEs8(x0, x1, ty_@0) new_esEs9(Left(x0), Left(x1), app(ty_Ratio, x2), x3) new_esEs8(x0, x1, ty_Char) new_esEs18(Just(x0), Just(x1), app(ty_Maybe, x2)) new_esEs25(x0, x1, ty_Integer) new_esEs18(Just(x0), Just(x1), app(ty_Ratio, x2)) new_esEs4(x0, x1, app(ty_Ratio, x2)) new_esEs21(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs18(Just(x0), Just(x1), ty_@0) new_primEqInt(Neg(Zero), Neg(Succ(x0))) new_esEs18(Just(x0), Just(x1), ty_Char) new_esEs8(x0, x1, app(ty_[], x2)) new_primPlusNat0(Succ(x0), Succ(x1)) new_esEs9(Left(x0), Left(x1), ty_Integer, x2) new_esEs8(x0, x1, app(ty_Ratio, x2)) new_esEs9(Left(x0), Left(x1), ty_Ordering, x2) new_esEs15(Integer(x0), Integer(x1)) new_esEs18(Just(x0), Just(x1), app(app(app(ty_@3, x2), x3), x4)) new_esEs22(x0, x1, ty_Bool) new_esEs21(x0, x1, ty_@0) new_esEs8(x0, x1, ty_Int) new_esEs18(Just(x0), Just(x1), app(ty_[], x2)) new_esEs22(x0, x1, ty_Integer) new_esEs9(Left(x0), Left(x1), ty_Double, x2) new_esEs24(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs20(x0, x1, app(app(ty_Either, x2), x3)) new_esEs24(x0, x1, ty_Integer) new_esEs19(:%(x0, x1), :%(x2, x3), x4) new_esEs23(x0, x1, app(app(ty_Either, x2), x3)) new_esEs9(Left(x0), Left(x1), ty_Float, x2) new_esEs16(LT, GT) new_esEs16(GT, LT) new_esEs9(Right(x0), Right(x1), x2, ty_Double) new_esEs18(Just(x0), Just(x1), ty_Ordering) new_esEs18(Just(x0), Just(x1), ty_Double) new_esEs20(x0, x1, ty_Float) new_esEs9(Right(x0), Right(x1), x2, ty_Float) new_esEs23(x0, x1, app(ty_[], x2)) new_esEs20(x0, x1, ty_Double) new_esEs9(Right(x0), Right(x1), x2, app(app(ty_@2, x3), x4)) new_esEs26(x0, x1, ty_Integer) new_esEs20(x0, x1, app(ty_Ratio, x2)) new_esEs9(Right(x0), Right(x1), x2, app(ty_Ratio, x3)) new_esEs18(Just(x0), Just(x1), ty_Float) new_esEs21(x0, x1, ty_Double) new_esEs18(Just(x0), Just(x1), app(app(ty_Either, x2), x3)) new_esEs7(:(x0, x1), [], x2) new_esEs4(x0, x1, ty_Int) new_esEs20(x0, x1, ty_Char) new_esEs24(x0, x1, app(ty_Ratio, x2)) new_esEs9(Right(x0), Right(x1), x2, ty_Ordering) new_esEs8(x0, x1, ty_Bool) new_esEs18(Nothing, Nothing, x0) new_esEs24(x0, x1, ty_Bool) new_esEs20(x0, x1, ty_Int) new_esEs8(x0, x1, app(app(ty_Either, x2), x3)) new_esEs8(x0, x1, app(app(ty_@2, x2), x3)) new_esEs4(x0, x1, ty_Char) new_esEs22(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs20(x0, x1, ty_Ordering) new_primEqNat0(Succ(x0), Succ(x1)) new_esEs24(x0, x1, app(ty_[], x2)) new_esEs9(Right(x0), Right(x1), x2, app(ty_Maybe, x3)) new_esEs23(x0, x1, ty_Float) new_esEs9(Right(x0), Right(x1), x2, ty_Int) new_esEs23(x0, x1, ty_Integer) new_esEs12(@3(x0, x1, x2), @3(x3, x4, x5), x6, x7, x8) new_primEqNat0(Zero, Zero) new_esEs21(x0, x1, app(app(ty_@2, x2), x3)) new_esEs9(Left(x0), Left(x1), ty_Char, x2) new_esEs4(x0, x1, ty_Float) new_esEs21(x0, x1, app(ty_Maybe, x2)) new_esEs16(LT, LT) new_asAs(False, x0) new_esEs21(x0, x1, ty_Integer) new_esEs9(Right(x0), Right(x1), x2, ty_Char) new_esEs4(x0, x1, ty_@0) new_esEs23(x0, x1, ty_Int) new_esEs8(x0, x1, ty_Integer) new_esEs18(Just(x0), Nothing, x1) new_esEs9(Left(x0), Left(x1), app(app(ty_@2, x2), x3), x4) new_esEs11(False, False) new_esEs9(Right(x0), Right(x1), x2, app(app(ty_Either, x3), x4)) new_esEs9(Right(x0), Right(x1), x2, ty_Integer) new_esEs22(x0, x1, app(app(ty_@2, x2), x3)) new_esEs16(EQ, GT) new_esEs16(GT, EQ) new_esEs18(Just(x0), Just(x1), ty_Integer) new_primEqInt(Pos(Succ(x0)), Neg(x1)) new_primEqInt(Neg(Succ(x0)), Pos(x1)) new_asAs(True, x0) new_esEs4(x0, x1, app(ty_Maybe, x2)) new_esEs24(x0, x1, app(app(ty_@2, x2), x3)) new_esEs10(@0, @0) new_esEs9(Left(x0), Left(x1), ty_Int, x2) new_esEs23(x0, x1, ty_Char) new_sr(Neg(x0), Neg(x1)) new_esEs23(x0, x1, ty_Double) new_esEs23(x0, x1, ty_Bool) new_esEs8(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_primEqInt(Pos(Succ(x0)), Pos(Zero)) new_esEs26(x0, x1, ty_Int) new_esEs20(x0, x1, app(app(ty_@2, x2), x3)) new_primPlusNat1(Succ(x0), x1) new_esEs21(x0, x1, app(app(ty_Either, x2), x3)) new_esEs16(LT, EQ) new_esEs16(EQ, LT) new_esEs8(x0, x1, ty_Ordering) new_esEs21(x0, x1, app(ty_Ratio, x2)) new_esEs21(x0, x1, ty_Ordering) new_esEs21(x0, x1, app(ty_[], x2)) new_esEs16(GT, GT) 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_lookup1(yu11, yu12, yu13, yu14, False, h, ba) -> new_lookup(yu11, yu14, h, ba) The graph contains the following edges 1 >= 1, 4 >= 2, 6 >= 3, 7 >= 4 *new_lookup(yu3, :(@2(yu400, yu401), yu41), bb, bc) -> new_lookup1(yu3, yu400, yu401, yu41, new_esEs4(yu3, yu400, bc), bb, bc) The graph contains the following edges 1 >= 1, 2 > 2, 2 > 3, 2 > 4, 3 >= 6, 4 >= 7 ---------------------------------------- (9) YES ---------------------------------------- (10) Obligation: Q DP problem: The TRS P consists of the following rules: new_esEs(Left(yu30), Left(yu4000), app(app(app(ty_@3, bc), bd), be), bb) -> new_esEs0(yu30, yu4000, bc, bd, be) new_esEs(Right(yu30), Right(yu4000), cb, app(app(app(ty_@3, ce), cf), cg)) -> new_esEs0(yu30, yu4000, ce, cf, cg) new_esEs1(:(yu30, yu31), :(yu4000, yu4001), app(ty_Maybe, bae)) -> new_esEs3(yu30, yu4000, bae) new_esEs(Left(yu30), Left(yu4000), app(ty_Maybe, ca), bb) -> new_esEs3(yu30, yu4000, ca) new_esEs3(Just(yu30), Just(yu4000), app(app(app(ty_@3, bdd), bde), bdf)) -> new_esEs0(yu30, yu4000, bdd, bde, bdf) new_esEs0(@3(yu30, yu31, yu32), @3(yu4000, yu4001, yu4002), app(app(ty_Either, gc), gd), df, fb) -> new_esEs(yu30, yu4000, gc, gd) new_esEs0(@3(yu30, yu31, yu32), @3(yu4000, yu4001, yu4002), de, app(app(app(ty_@3, fc), fd), ff), fb) -> new_esEs0(yu31, yu4001, fc, fd, ff) new_esEs3(Just(yu30), Just(yu4000), app(app(ty_Either, bdb), bdc)) -> new_esEs(yu30, yu4000, bdb, bdc) new_esEs0(@3(yu30, yu31, yu32), @3(yu4000, yu4001, yu4002), de, app(ty_Maybe, gb), fb) -> new_esEs3(yu31, yu4001, gb) new_esEs2(@2(yu30, yu31), @2(yu4000, yu4001), baf, app(ty_Maybe, bbg)) -> new_esEs3(yu31, yu4001, bbg) new_esEs2(@2(yu30, yu31), @2(yu4000, yu4001), baf, app(app(ty_@2, bbe), bbf)) -> new_esEs2(yu31, yu4001, bbe, bbf) new_esEs0(@3(yu30, yu31, yu32), @3(yu4000, yu4001, yu4002), de, df, app(ty_Maybe, eg)) -> new_esEs3(yu32, yu4002, eg) new_esEs2(@2(yu30, yu31), @2(yu4000, yu4001), app(ty_Maybe, bda), bcb) -> new_esEs3(yu30, yu4000, bda) new_esEs2(@2(yu30, yu31), @2(yu4000, yu4001), app(app(ty_Either, bbh), bca), bcb) -> new_esEs(yu30, yu4000, bbh, bca) new_esEs3(Just(yu30), Just(yu4000), app(ty_Maybe, beb)) -> new_esEs3(yu30, yu4000, beb) new_esEs0(@3(yu30, yu31, yu32), @3(yu4000, yu4001, yu4002), de, df, app(app(ty_Either, dg), dh)) -> new_esEs(yu32, yu4002, dg, dh) new_esEs0(@3(yu30, yu31, yu32), @3(yu4000, yu4001, yu4002), de, df, app(app(ty_@2, ee), ef)) -> new_esEs2(yu32, yu4002, ee, ef) new_esEs0(@3(yu30, yu31, yu32), @3(yu4000, yu4001, yu4002), de, app(app(ty_@2, fh), ga), fb) -> new_esEs2(yu31, yu4001, fh, ga) new_esEs0(@3(yu30, yu31, yu32), @3(yu4000, yu4001, yu4002), app(ty_Maybe, hc), df, fb) -> new_esEs3(yu30, yu4000, hc) new_esEs(Right(yu30), Right(yu4000), cb, app(app(ty_@2, db), dc)) -> new_esEs2(yu30, yu4000, db, dc) new_esEs(Left(yu30), Left(yu4000), app(ty_[], bf), bb) -> new_esEs1(yu30, yu4000, bf) new_esEs2(@2(yu30, yu31), @2(yu4000, yu4001), app(app(ty_@2, bcg), bch), bcb) -> new_esEs2(yu30, yu4000, bcg, bch) new_esEs(Left(yu30), Left(yu4000), app(app(ty_@2, bg), bh), bb) -> new_esEs2(yu30, yu4000, bg, bh) new_esEs0(@3(yu30, yu31, yu32), @3(yu4000, yu4001, yu4002), de, df, app(app(app(ty_@3, ea), eb), ec)) -> new_esEs0(yu32, yu4002, ea, eb, ec) new_esEs2(@2(yu30, yu31), @2(yu4000, yu4001), baf, app(ty_[], bbd)) -> new_esEs1(yu31, yu4001, bbd) new_esEs3(Just(yu30), Just(yu4000), app(ty_[], bdg)) -> new_esEs1(yu30, yu4000, bdg) new_esEs(Right(yu30), Right(yu4000), cb, app(app(ty_Either, cc), cd)) -> new_esEs(yu30, yu4000, cc, cd) new_esEs0(@3(yu30, yu31, yu32), @3(yu4000, yu4001, yu4002), de, app(app(ty_Either, eh), fa), fb) -> new_esEs(yu31, yu4001, eh, fa) new_esEs2(@2(yu30, yu31), @2(yu4000, yu4001), app(ty_[], bcf), bcb) -> new_esEs1(yu30, yu4000, bcf) new_esEs3(Just(yu30), Just(yu4000), app(app(ty_@2, bdh), bea)) -> new_esEs2(yu30, yu4000, bdh, bea) new_esEs1(:(yu30, yu31), :(yu4000, yu4001), app(app(ty_@2, bac), bad)) -> new_esEs2(yu30, yu4000, bac, bad) new_esEs1(:(yu30, yu31), :(yu4000, yu4001), hd) -> new_esEs1(yu31, yu4001, hd) new_esEs1(:(yu30, yu31), :(yu4000, yu4001), app(app(app(ty_@3, hg), hh), baa)) -> new_esEs0(yu30, yu4000, hg, hh, baa) new_esEs(Left(yu30), Left(yu4000), app(app(ty_Either, h), ba), bb) -> new_esEs(yu30, yu4000, h, ba) new_esEs(Right(yu30), Right(yu4000), cb, app(ty_[], da)) -> new_esEs1(yu30, yu4000, da) new_esEs0(@3(yu30, yu31, yu32), @3(yu4000, yu4001, yu4002), de, app(ty_[], fg), fb) -> new_esEs1(yu31, yu4001, fg) new_esEs0(@3(yu30, yu31, yu32), @3(yu4000, yu4001, yu4002), app(app(ty_@2, ha), hb), df, fb) -> new_esEs2(yu30, yu4000, ha, hb) new_esEs1(:(yu30, yu31), :(yu4000, yu4001), app(ty_[], bab)) -> new_esEs1(yu30, yu4000, bab) new_esEs2(@2(yu30, yu31), @2(yu4000, yu4001), app(app(app(ty_@3, bcc), bcd), bce), bcb) -> new_esEs0(yu30, yu4000, bcc, bcd, bce) new_esEs2(@2(yu30, yu31), @2(yu4000, yu4001), baf, app(app(ty_Either, bag), bah)) -> new_esEs(yu31, yu4001, bag, bah) new_esEs0(@3(yu30, yu31, yu32), @3(yu4000, yu4001, yu4002), app(ty_[], gh), df, fb) -> new_esEs1(yu30, yu4000, gh) new_esEs1(:(yu30, yu31), :(yu4000, yu4001), app(app(ty_Either, he), hf)) -> new_esEs(yu30, yu4000, he, hf) new_esEs0(@3(yu30, yu31, yu32), @3(yu4000, yu4001, yu4002), app(app(app(ty_@3, ge), gf), gg), df, fb) -> new_esEs0(yu30, yu4000, ge, gf, gg) new_esEs0(@3(yu30, yu31, yu32), @3(yu4000, yu4001, yu4002), de, df, app(ty_[], ed)) -> new_esEs1(yu32, yu4002, ed) new_esEs(Right(yu30), Right(yu4000), cb, app(ty_Maybe, dd)) -> new_esEs3(yu30, yu4000, dd) new_esEs2(@2(yu30, yu31), @2(yu4000, yu4001), baf, app(app(app(ty_@3, bba), bbb), bbc)) -> new_esEs0(yu31, yu4001, bba, bbb, bbc) 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_esEs3(Just(yu30), Just(yu4000), app(app(ty_Either, bdb), bdc)) -> new_esEs(yu30, yu4000, bdb, bdc) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs3(Just(yu30), Just(yu4000), app(ty_[], bdg)) -> new_esEs1(yu30, yu4000, bdg) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs3(Just(yu30), Just(yu4000), app(ty_Maybe, beb)) -> new_esEs3(yu30, yu4000, beb) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs3(Just(yu30), Just(yu4000), app(app(app(ty_@3, bdd), bde), bdf)) -> new_esEs0(yu30, yu4000, bdd, bde, bdf) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 *new_esEs3(Just(yu30), Just(yu4000), app(app(ty_@2, bdh), bea)) -> new_esEs2(yu30, yu4000, bdh, bea) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs1(:(yu30, yu31), :(yu4000, yu4001), app(app(ty_Either, he), hf)) -> new_esEs(yu30, yu4000, he, hf) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs1(:(yu30, yu31), :(yu4000, yu4001), app(ty_Maybe, bae)) -> new_esEs3(yu30, yu4000, bae) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs1(:(yu30, yu31), :(yu4000, yu4001), app(app(app(ty_@3, hg), hh), baa)) -> new_esEs0(yu30, yu4000, hg, hh, baa) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 *new_esEs1(:(yu30, yu31), :(yu4000, yu4001), app(app(ty_@2, bac), bad)) -> new_esEs2(yu30, yu4000, bac, bad) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs0(@3(yu30, yu31, yu32), @3(yu4000, yu4001, yu4002), app(app(ty_Either, gc), gd), df, fb) -> new_esEs(yu30, yu4000, gc, gd) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs0(@3(yu30, yu31, yu32), @3(yu4000, yu4001, yu4002), de, df, app(app(ty_Either, dg), dh)) -> new_esEs(yu32, yu4002, dg, dh) The graph contains the following edges 1 > 1, 2 > 2, 5 > 3, 5 > 4 *new_esEs0(@3(yu30, yu31, yu32), @3(yu4000, yu4001, yu4002), de, app(app(ty_Either, eh), fa), fb) -> new_esEs(yu31, yu4001, eh, fa) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 *new_esEs0(@3(yu30, yu31, yu32), @3(yu4000, yu4001, yu4002), de, app(ty_[], fg), fb) -> new_esEs1(yu31, yu4001, fg) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 *new_esEs0(@3(yu30, yu31, yu32), @3(yu4000, yu4001, yu4002), app(ty_[], gh), df, fb) -> new_esEs1(yu30, yu4000, gh) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs0(@3(yu30, yu31, yu32), @3(yu4000, yu4001, yu4002), de, df, app(ty_[], ed)) -> new_esEs1(yu32, yu4002, ed) The graph contains the following edges 1 > 1, 2 > 2, 5 > 3 *new_esEs0(@3(yu30, yu31, yu32), @3(yu4000, yu4001, yu4002), de, app(ty_Maybe, gb), fb) -> new_esEs3(yu31, yu4001, gb) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 *new_esEs0(@3(yu30, yu31, yu32), @3(yu4000, yu4001, yu4002), de, df, app(ty_Maybe, eg)) -> new_esEs3(yu32, yu4002, eg) The graph contains the following edges 1 > 1, 2 > 2, 5 > 3 *new_esEs0(@3(yu30, yu31, yu32), @3(yu4000, yu4001, yu4002), app(ty_Maybe, hc), df, fb) -> new_esEs3(yu30, yu4000, hc) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs0(@3(yu30, yu31, yu32), @3(yu4000, yu4001, yu4002), de, app(app(app(ty_@3, fc), fd), ff), fb) -> new_esEs0(yu31, yu4001, fc, fd, ff) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4, 4 > 5 *new_esEs0(@3(yu30, yu31, yu32), @3(yu4000, yu4001, yu4002), de, df, app(app(app(ty_@3, ea), eb), ec)) -> new_esEs0(yu32, yu4002, ea, eb, ec) The graph contains the following edges 1 > 1, 2 > 2, 5 > 3, 5 > 4, 5 > 5 *new_esEs0(@3(yu30, yu31, yu32), @3(yu4000, yu4001, yu4002), app(app(app(ty_@3, ge), gf), gg), df, fb) -> new_esEs0(yu30, yu4000, ge, gf, gg) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 *new_esEs0(@3(yu30, yu31, yu32), @3(yu4000, yu4001, yu4002), de, df, app(app(ty_@2, ee), ef)) -> new_esEs2(yu32, yu4002, ee, ef) The graph contains the following edges 1 > 1, 2 > 2, 5 > 3, 5 > 4 *new_esEs0(@3(yu30, yu31, yu32), @3(yu4000, yu4001, yu4002), de, app(app(ty_@2, fh), ga), fb) -> new_esEs2(yu31, yu4001, fh, ga) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 *new_esEs0(@3(yu30, yu31, yu32), @3(yu4000, yu4001, yu4002), app(app(ty_@2, ha), hb), df, fb) -> new_esEs2(yu30, yu4000, ha, hb) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs(Right(yu30), Right(yu4000), cb, app(app(ty_Either, cc), cd)) -> new_esEs(yu30, yu4000, cc, cd) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 *new_esEs(Left(yu30), Left(yu4000), app(app(ty_Either, h), ba), bb) -> new_esEs(yu30, yu4000, h, ba) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs2(@2(yu30, yu31), @2(yu4000, yu4001), app(app(ty_Either, bbh), bca), bcb) -> new_esEs(yu30, yu4000, bbh, bca) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs2(@2(yu30, yu31), @2(yu4000, yu4001), baf, app(app(ty_Either, bag), bah)) -> new_esEs(yu31, yu4001, bag, bah) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 *new_esEs(Left(yu30), Left(yu4000), app(ty_[], bf), bb) -> new_esEs1(yu30, yu4000, bf) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs(Right(yu30), Right(yu4000), cb, app(ty_[], da)) -> new_esEs1(yu30, yu4000, da) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 *new_esEs2(@2(yu30, yu31), @2(yu4000, yu4001), baf, app(ty_[], bbd)) -> new_esEs1(yu31, yu4001, bbd) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 *new_esEs2(@2(yu30, yu31), @2(yu4000, yu4001), app(ty_[], bcf), bcb) -> new_esEs1(yu30, yu4000, bcf) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs1(:(yu30, yu31), :(yu4000, yu4001), hd) -> new_esEs1(yu31, yu4001, hd) The graph contains the following edges 1 > 1, 2 > 2, 3 >= 3 *new_esEs1(:(yu30, yu31), :(yu4000, yu4001), app(ty_[], bab)) -> new_esEs1(yu30, yu4000, bab) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs(Left(yu30), Left(yu4000), app(ty_Maybe, ca), bb) -> new_esEs3(yu30, yu4000, ca) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs(Right(yu30), Right(yu4000), cb, app(ty_Maybe, dd)) -> new_esEs3(yu30, yu4000, dd) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 *new_esEs2(@2(yu30, yu31), @2(yu4000, yu4001), baf, app(ty_Maybe, bbg)) -> new_esEs3(yu31, yu4001, bbg) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 *new_esEs2(@2(yu30, yu31), @2(yu4000, yu4001), app(ty_Maybe, bda), bcb) -> new_esEs3(yu30, yu4000, bda) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs(Left(yu30), Left(yu4000), app(app(app(ty_@3, bc), bd), be), bb) -> new_esEs0(yu30, yu4000, bc, bd, be) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 *new_esEs(Right(yu30), Right(yu4000), cb, app(app(app(ty_@3, ce), cf), cg)) -> new_esEs0(yu30, yu4000, ce, cf, cg) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4, 4 > 5 *new_esEs(Right(yu30), Right(yu4000), cb, app(app(ty_@2, db), dc)) -> new_esEs2(yu30, yu4000, db, dc) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 *new_esEs(Left(yu30), Left(yu4000), app(app(ty_@2, bg), bh), bb) -> new_esEs2(yu30, yu4000, bg, bh) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs2(@2(yu30, yu31), @2(yu4000, yu4001), app(app(app(ty_@3, bcc), bcd), bce), bcb) -> new_esEs0(yu30, yu4000, bcc, bcd, bce) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 *new_esEs2(@2(yu30, yu31), @2(yu4000, yu4001), baf, app(app(app(ty_@3, bba), bbb), bbc)) -> new_esEs0(yu31, yu4001, bba, bbb, bbc) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4, 4 > 5 *new_esEs2(@2(yu30, yu31), @2(yu4000, yu4001), baf, app(app(ty_@2, bbe), bbf)) -> new_esEs2(yu31, yu4001, bbe, bbf) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 *new_esEs2(@2(yu30, yu31), @2(yu4000, yu4001), app(app(ty_@2, bcg), bch), bcb) -> new_esEs2(yu30, yu4000, bcg, bch) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 ---------------------------------------- (12) YES ---------------------------------------- (13) Obligation: Q DP problem: The TRS P consists of the following rules: new_primMulNat(Succ(yu3100), Succ(yu400000)) -> new_primMulNat(yu3100, Succ(yu400000)) 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_primMulNat(Succ(yu3100), Succ(yu400000)) -> new_primMulNat(yu3100, Succ(yu400000)) 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_primPlusNat(Succ(yu3300), Succ(yu4000000)) -> new_primPlusNat(yu3300, yu4000000) 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_primPlusNat(Succ(yu3300), Succ(yu4000000)) -> new_primPlusNat(yu3300, yu4000000) The graph contains the following edges 1 > 1, 2 > 2 ---------------------------------------- (18) YES ---------------------------------------- (19) Obligation: Q DP problem: The TRS P consists of the following rules: new_primEqNat(Succ(yu300), Succ(yu40000)) -> new_primEqNat(yu300, yu40000) R is empty. Q is empty. We have to consider all minimal (P,Q,R)-chains. ---------------------------------------- (20) 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(yu300), Succ(yu40000)) -> new_primEqNat(yu300, yu40000) The graph contains the following edges 1 > 1, 2 > 2 ---------------------------------------- (21) YES