/export/starexec/sandbox2/solver/bin/starexec_run_standard /export/starexec/sandbox2/benchmark/theBenchmark.hs /export/starexec/sandbox2/output/output_files -------------------------------------------------------------------------------- YES proof of /export/starexec/sandbox2/benchmark/theBenchmark.hs # AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty H-Termination with start terms of the given HASKELL could be proven: (0) HASKELL (1) BR [EQUIVALENT, 0 ms] (2) HASKELL (3) COR [EQUIVALENT, 0 ms] (4) HASKELL (5) Narrow [SOUND, 0 ms] (6) AND (7) QDP (8) QDPSizeChangeProof [EQUIVALENT, 0 ms] (9) YES (10) QDP (11) DependencyGraphProof [EQUIVALENT, 2 ms] (12) AND (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 (22) QDP (23) QDPSizeChangeProof [EQUIVALENT, 0 ms] (24) YES (25) QDP (26) QDPSizeChangeProof [EQUIVALENT, 0 ms] (27) 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); " "lookup1 k x y xys True = Just y; lookup1 k x y xys False = lookup0 k x y xys otherwise; " "lookup0 k x y xys True = lookup k xys; " "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"];758[label="yu4/yu40 : yu41",fontsize=10,color="white",style="solid",shape="box"];4 -> 758[label="",style="solid", color="burlywood", weight=9]; 758 -> 5[label="",style="solid", color="burlywood", weight=3]; 759[label="yu4/[]",fontsize=10,color="white",style="solid",shape="box"];4 -> 759[label="",style="solid", color="burlywood", weight=9]; 759 -> 6[label="",style="solid", color="burlywood", weight=3]; 5[label="lookup yu3 (yu40 : yu41)",fontsize=16,color="burlywood",shape="box"];760[label="yu40/(yu400,yu401)",fontsize=10,color="white",style="solid",shape="box"];5 -> 760[label="",style="solid", color="burlywood", weight=9]; 760 -> 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[label="lookup1 yu3 yu400 yu401 yu41 (yu3 == yu400)",fontsize=16,color="burlywood",shape="box"];761[label="yu3/Left yu30",fontsize=10,color="white",style="solid",shape="box"];11 -> 761[label="",style="solid", color="burlywood", weight=9]; 761 -> 12[label="",style="solid", color="burlywood", weight=3]; 762[label="yu3/Right yu30",fontsize=10,color="white",style="solid",shape="box"];11 -> 762[label="",style="solid", color="burlywood", weight=9]; 762 -> 13[label="",style="solid", color="burlywood", weight=3]; 12[label="lookup1 (Left yu30) yu400 yu401 yu41 (Left yu30 == yu400)",fontsize=16,color="burlywood",shape="box"];763[label="yu400/Left yu4000",fontsize=10,color="white",style="solid",shape="box"];12 -> 763[label="",style="solid", color="burlywood", weight=9]; 763 -> 14[label="",style="solid", color="burlywood", weight=3]; 764[label="yu400/Right yu4000",fontsize=10,color="white",style="solid",shape="box"];12 -> 764[label="",style="solid", color="burlywood", weight=9]; 764 -> 15[label="",style="solid", color="burlywood", weight=3]; 13[label="lookup1 (Right yu30) yu400 yu401 yu41 (Right yu30 == yu400)",fontsize=16,color="burlywood",shape="box"];765[label="yu400/Left yu4000",fontsize=10,color="white",style="solid",shape="box"];13 -> 765[label="",style="solid", color="burlywood", weight=9]; 765 -> 16[label="",style="solid", color="burlywood", weight=3]; 766[label="yu400/Right yu4000",fontsize=10,color="white",style="solid",shape="box"];13 -> 766[label="",style="solid", color="burlywood", weight=9]; 766 -> 17[label="",style="solid", color="burlywood", weight=3]; 14[label="lookup1 (Left yu30) (Left yu4000) yu401 yu41 (Left yu30 == Left yu4000)",fontsize=16,color="black",shape="box"];14 -> 18[label="",style="solid", color="black", weight=3]; 15[label="lookup1 (Left yu30) (Right yu4000) yu401 yu41 (Left yu30 == Right yu4000)",fontsize=16,color="black",shape="box"];15 -> 19[label="",style="solid", color="black", weight=3]; 16[label="lookup1 (Right yu30) (Left yu4000) yu401 yu41 (Right yu30 == Left yu4000)",fontsize=16,color="black",shape="box"];16 -> 20[label="",style="solid", color="black", weight=3]; 17[label="lookup1 (Right yu30) (Right yu4000) yu401 yu41 (Right yu30 == Right yu4000)",fontsize=16,color="black",shape="box"];17 -> 21[label="",style="solid", color="black", weight=3]; 18 -> 22[label="",style="dashed", color="red", weight=0]; 18[label="lookup1 (Left yu30) (Left yu4000) yu401 yu41 (yu30 == yu4000)",fontsize=16,color="magenta"];18 -> 23[label="",style="dashed", color="magenta", weight=3]; 18 -> 24[label="",style="dashed", color="magenta", weight=3]; 18 -> 25[label="",style="dashed", color="magenta", weight=3]; 18 -> 26[label="",style="dashed", color="magenta", weight=3]; 18 -> 27[label="",style="dashed", color="magenta", weight=3]; 19[label="lookup1 (Left yu30) (Right yu4000) yu401 yu41 False",fontsize=16,color="black",shape="box"];19 -> 28[label="",style="solid", color="black", weight=3]; 20[label="lookup1 (Right yu30) (Left yu4000) yu401 yu41 False",fontsize=16,color="black",shape="box"];20 -> 29[label="",style="solid", color="black", weight=3]; 21 -> 30[label="",style="dashed", color="red", weight=0]; 21[label="lookup1 (Right yu30) (Right yu4000) yu401 yu41 (yu30 == yu4000)",fontsize=16,color="magenta"];21 -> 31[label="",style="dashed", color="magenta", weight=3]; 21 -> 32[label="",style="dashed", color="magenta", weight=3]; 21 -> 33[label="",style="dashed", color="magenta", weight=3]; 21 -> 34[label="",style="dashed", color="magenta", weight=3]; 21 -> 35[label="",style="dashed", color="magenta", weight=3]; 23[label="yu30 == yu4000",fontsize=16,color="blue",shape="box"];767[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];23 -> 767[label="",style="solid", color="blue", weight=9]; 767 -> 36[label="",style="solid", color="blue", weight=3]; 768[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];23 -> 768[label="",style="solid", color="blue", weight=9]; 768 -> 37[label="",style="solid", color="blue", weight=3]; 769[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];23 -> 769[label="",style="solid", color="blue", weight=9]; 769 -> 38[label="",style="solid", color="blue", weight=3]; 770[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];23 -> 770[label="",style="solid", color="blue", weight=9]; 770 -> 39[label="",style="solid", color="blue", weight=3]; 771[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];23 -> 771[label="",style="solid", color="blue", weight=9]; 771 -> 40[label="",style="solid", color="blue", weight=3]; 772[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];23 -> 772[label="",style="solid", color="blue", weight=9]; 772 -> 41[label="",style="solid", color="blue", weight=3]; 773[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];23 -> 773[label="",style="solid", color="blue", weight=9]; 773 -> 42[label="",style="solid", color="blue", weight=3]; 774[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];23 -> 774[label="",style="solid", color="blue", weight=9]; 774 -> 43[label="",style="solid", color="blue", weight=3]; 775[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];23 -> 775[label="",style="solid", color="blue", weight=9]; 775 -> 44[label="",style="solid", color="blue", weight=3]; 776[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];23 -> 776[label="",style="solid", color="blue", weight=9]; 776 -> 45[label="",style="solid", color="blue", weight=3]; 777[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];23 -> 777[label="",style="solid", color="blue", weight=9]; 777 -> 46[label="",style="solid", color="blue", weight=3]; 778[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];23 -> 778[label="",style="solid", color="blue", weight=9]; 778 -> 47[label="",style="solid", color="blue", weight=3]; 779[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];23 -> 779[label="",style="solid", color="blue", weight=9]; 779 -> 48[label="",style="solid", color="blue", weight=3]; 780[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];23 -> 780[label="",style="solid", color="blue", weight=9]; 780 -> 49[label="",style="solid", color="blue", weight=3]; 24[label="yu4000",fontsize=16,color="green",shape="box"];25[label="yu30",fontsize=16,color="green",shape="box"];26[label="yu401",fontsize=16,color="green",shape="box"];27[label="yu41",fontsize=16,color="green",shape="box"];22[label="lookup1 (Left yu11) (Left yu12) yu13 yu14 yu15",fontsize=16,color="burlywood",shape="triangle"];781[label="yu15/False",fontsize=10,color="white",style="solid",shape="box"];22 -> 781[label="",style="solid", color="burlywood", weight=9]; 781 -> 50[label="",style="solid", color="burlywood", weight=3]; 782[label="yu15/True",fontsize=10,color="white",style="solid",shape="box"];22 -> 782[label="",style="solid", color="burlywood", weight=9]; 782 -> 51[label="",style="solid", color="burlywood", weight=3]; 28[label="lookup0 (Left yu30) (Right yu4000) yu401 yu41 otherwise",fontsize=16,color="black",shape="box"];28 -> 52[label="",style="solid", color="black", weight=3]; 29[label="lookup0 (Right yu30) (Left yu4000) yu401 yu41 otherwise",fontsize=16,color="black",shape="box"];29 -> 53[label="",style="solid", color="black", weight=3]; 31[label="yu4000",fontsize=16,color="green",shape="box"];32[label="yu30",fontsize=16,color="green",shape="box"];33[label="yu30 == yu4000",fontsize=16,color="blue",shape="box"];783[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];33 -> 783[label="",style="solid", color="blue", weight=9]; 783 -> 54[label="",style="solid", color="blue", weight=3]; 784[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];33 -> 784[label="",style="solid", color="blue", weight=9]; 784 -> 55[label="",style="solid", color="blue", weight=3]; 785[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];33 -> 785[label="",style="solid", color="blue", weight=9]; 785 -> 56[label="",style="solid", color="blue", weight=3]; 786[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];33 -> 786[label="",style="solid", color="blue", weight=9]; 786 -> 57[label="",style="solid", color="blue", weight=3]; 787[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];33 -> 787[label="",style="solid", color="blue", weight=9]; 787 -> 58[label="",style="solid", color="blue", weight=3]; 788[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];33 -> 788[label="",style="solid", color="blue", weight=9]; 788 -> 59[label="",style="solid", color="blue", weight=3]; 789[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];33 -> 789[label="",style="solid", color="blue", weight=9]; 789 -> 60[label="",style="solid", color="blue", weight=3]; 790[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];33 -> 790[label="",style="solid", color="blue", weight=9]; 790 -> 61[label="",style="solid", color="blue", weight=3]; 791[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];33 -> 791[label="",style="solid", color="blue", weight=9]; 791 -> 62[label="",style="solid", color="blue", weight=3]; 792[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];33 -> 792[label="",style="solid", color="blue", weight=9]; 792 -> 63[label="",style="solid", color="blue", weight=3]; 793[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];33 -> 793[label="",style="solid", color="blue", weight=9]; 793 -> 64[label="",style="solid", color="blue", weight=3]; 794[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];33 -> 794[label="",style="solid", color="blue", weight=9]; 794 -> 65[label="",style="solid", color="blue", weight=3]; 795[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];33 -> 795[label="",style="solid", color="blue", weight=9]; 795 -> 66[label="",style="solid", color="blue", weight=3]; 796[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];33 -> 796[label="",style="solid", color="blue", weight=9]; 796 -> 67[label="",style="solid", color="blue", weight=3]; 34[label="yu41",fontsize=16,color="green",shape="box"];35[label="yu401",fontsize=16,color="green",shape="box"];30[label="lookup1 (Right yu22) (Right yu23) yu24 yu25 yu26",fontsize=16,color="burlywood",shape="triangle"];797[label="yu26/False",fontsize=10,color="white",style="solid",shape="box"];30 -> 797[label="",style="solid", color="burlywood", weight=9]; 797 -> 68[label="",style="solid", color="burlywood", weight=3]; 798[label="yu26/True",fontsize=10,color="white",style="solid",shape="box"];30 -> 798[label="",style="solid", color="burlywood", weight=9]; 798 -> 69[label="",style="solid", color="burlywood", weight=3]; 36[label="yu30 == yu4000",fontsize=16,color="burlywood",shape="triangle"];799[label="yu30/LT",fontsize=10,color="white",style="solid",shape="box"];36 -> 799[label="",style="solid", color="burlywood", weight=9]; 799 -> 70[label="",style="solid", color="burlywood", weight=3]; 800[label="yu30/EQ",fontsize=10,color="white",style="solid",shape="box"];36 -> 800[label="",style="solid", color="burlywood", weight=9]; 800 -> 71[label="",style="solid", color="burlywood", weight=3]; 801[label="yu30/GT",fontsize=10,color="white",style="solid",shape="box"];36 -> 801[label="",style="solid", color="burlywood", weight=9]; 801 -> 72[label="",style="solid", color="burlywood", weight=3]; 37[label="yu30 == yu4000",fontsize=16,color="black",shape="triangle"];37 -> 73[label="",style="solid", color="black", weight=3]; 38[label="yu30 == yu4000",fontsize=16,color="burlywood",shape="triangle"];802[label="yu30/yu300 :% yu301",fontsize=10,color="white",style="solid",shape="box"];38 -> 802[label="",style="solid", color="burlywood", weight=9]; 802 -> 74[label="",style="solid", color="burlywood", weight=3]; 39[label="yu30 == yu4000",fontsize=16,color="burlywood",shape="triangle"];803[label="yu30/(yu300,yu301,yu302)",fontsize=10,color="white",style="solid",shape="box"];39 -> 803[label="",style="solid", color="burlywood", weight=9]; 803 -> 75[label="",style="solid", color="burlywood", weight=3]; 40[label="yu30 == yu4000",fontsize=16,color="burlywood",shape="triangle"];804[label="yu30/Integer yu300",fontsize=10,color="white",style="solid",shape="box"];40 -> 804[label="",style="solid", color="burlywood", weight=9]; 804 -> 76[label="",style="solid", color="burlywood", weight=3]; 41[label="yu30 == yu4000",fontsize=16,color="burlywood",shape="triangle"];805[label="yu30/Left yu300",fontsize=10,color="white",style="solid",shape="box"];41 -> 805[label="",style="solid", color="burlywood", weight=9]; 805 -> 77[label="",style="solid", color="burlywood", weight=3]; 806[label="yu30/Right yu300",fontsize=10,color="white",style="solid",shape="box"];41 -> 806[label="",style="solid", color="burlywood", weight=9]; 806 -> 78[label="",style="solid", color="burlywood", weight=3]; 42[label="yu30 == yu4000",fontsize=16,color="black",shape="triangle"];42 -> 79[label="",style="solid", color="black", weight=3]; 43[label="yu30 == yu4000",fontsize=16,color="burlywood",shape="triangle"];807[label="yu30/()",fontsize=10,color="white",style="solid",shape="box"];43 -> 807[label="",style="solid", color="burlywood", weight=9]; 807 -> 80[label="",style="solid", color="burlywood", weight=3]; 44[label="yu30 == yu4000",fontsize=16,color="burlywood",shape="triangle"];808[label="yu30/False",fontsize=10,color="white",style="solid",shape="box"];44 -> 808[label="",style="solid", color="burlywood", weight=9]; 808 -> 81[label="",style="solid", color="burlywood", weight=3]; 809[label="yu30/True",fontsize=10,color="white",style="solid",shape="box"];44 -> 809[label="",style="solid", color="burlywood", weight=9]; 809 -> 82[label="",style="solid", color="burlywood", weight=3]; 45[label="yu30 == yu4000",fontsize=16,color="burlywood",shape="triangle"];810[label="yu30/yu300 : yu301",fontsize=10,color="white",style="solid",shape="box"];45 -> 810[label="",style="solid", color="burlywood", weight=9]; 810 -> 83[label="",style="solid", color="burlywood", weight=3]; 811[label="yu30/[]",fontsize=10,color="white",style="solid",shape="box"];45 -> 811[label="",style="solid", color="burlywood", weight=9]; 811 -> 84[label="",style="solid", color="burlywood", weight=3]; 46[label="yu30 == yu4000",fontsize=16,color="burlywood",shape="triangle"];812[label="yu30/Nothing",fontsize=10,color="white",style="solid",shape="box"];46 -> 812[label="",style="solid", color="burlywood", weight=9]; 812 -> 85[label="",style="solid", color="burlywood", weight=3]; 813[label="yu30/Just yu300",fontsize=10,color="white",style="solid",shape="box"];46 -> 813[label="",style="solid", color="burlywood", weight=9]; 813 -> 86[label="",style="solid", color="burlywood", weight=3]; 47[label="yu30 == yu4000",fontsize=16,color="black",shape="triangle"];47 -> 87[label="",style="solid", color="black", weight=3]; 48[label="yu30 == yu4000",fontsize=16,color="black",shape="triangle"];48 -> 88[label="",style="solid", color="black", weight=3]; 49[label="yu30 == yu4000",fontsize=16,color="burlywood",shape="triangle"];814[label="yu30/(yu300,yu301)",fontsize=10,color="white",style="solid",shape="box"];49 -> 814[label="",style="solid", color="burlywood", weight=9]; 814 -> 89[label="",style="solid", color="burlywood", weight=3]; 50[label="lookup1 (Left yu11) (Left yu12) yu13 yu14 False",fontsize=16,color="black",shape="box"];50 -> 90[label="",style="solid", color="black", weight=3]; 51[label="lookup1 (Left yu11) (Left yu12) yu13 yu14 True",fontsize=16,color="black",shape="box"];51 -> 91[label="",style="solid", color="black", weight=3]; 52[label="lookup0 (Left yu30) (Right yu4000) yu401 yu41 True",fontsize=16,color="black",shape="box"];52 -> 92[label="",style="solid", color="black", weight=3]; 53[label="lookup0 (Right yu30) (Left yu4000) yu401 yu41 True",fontsize=16,color="black",shape="box"];53 -> 93[label="",style="solid", color="black", weight=3]; 54 -> 36[label="",style="dashed", color="red", weight=0]; 54[label="yu30 == yu4000",fontsize=16,color="magenta"];54 -> 94[label="",style="dashed", color="magenta", weight=3]; 54 -> 95[label="",style="dashed", color="magenta", weight=3]; 55 -> 37[label="",style="dashed", color="red", weight=0]; 55[label="yu30 == yu4000",fontsize=16,color="magenta"];55 -> 96[label="",style="dashed", color="magenta", weight=3]; 55 -> 97[label="",style="dashed", color="magenta", weight=3]; 56 -> 38[label="",style="dashed", color="red", weight=0]; 56[label="yu30 == yu4000",fontsize=16,color="magenta"];56 -> 98[label="",style="dashed", color="magenta", weight=3]; 56 -> 99[label="",style="dashed", color="magenta", weight=3]; 57 -> 39[label="",style="dashed", color="red", weight=0]; 57[label="yu30 == yu4000",fontsize=16,color="magenta"];57 -> 100[label="",style="dashed", color="magenta", weight=3]; 57 -> 101[label="",style="dashed", color="magenta", weight=3]; 58 -> 40[label="",style="dashed", color="red", weight=0]; 58[label="yu30 == yu4000",fontsize=16,color="magenta"];58 -> 102[label="",style="dashed", color="magenta", weight=3]; 58 -> 103[label="",style="dashed", color="magenta", weight=3]; 59 -> 41[label="",style="dashed", color="red", weight=0]; 59[label="yu30 == yu4000",fontsize=16,color="magenta"];59 -> 104[label="",style="dashed", color="magenta", weight=3]; 59 -> 105[label="",style="dashed", color="magenta", weight=3]; 60 -> 42[label="",style="dashed", color="red", weight=0]; 60[label="yu30 == yu4000",fontsize=16,color="magenta"];60 -> 106[label="",style="dashed", color="magenta", weight=3]; 60 -> 107[label="",style="dashed", color="magenta", weight=3]; 61 -> 43[label="",style="dashed", color="red", weight=0]; 61[label="yu30 == yu4000",fontsize=16,color="magenta"];61 -> 108[label="",style="dashed", color="magenta", weight=3]; 61 -> 109[label="",style="dashed", color="magenta", weight=3]; 62 -> 44[label="",style="dashed", color="red", weight=0]; 62[label="yu30 == yu4000",fontsize=16,color="magenta"];62 -> 110[label="",style="dashed", color="magenta", weight=3]; 62 -> 111[label="",style="dashed", color="magenta", weight=3]; 63 -> 45[label="",style="dashed", color="red", weight=0]; 63[label="yu30 == yu4000",fontsize=16,color="magenta"];63 -> 112[label="",style="dashed", color="magenta", weight=3]; 63 -> 113[label="",style="dashed", color="magenta", weight=3]; 64 -> 46[label="",style="dashed", color="red", weight=0]; 64[label="yu30 == yu4000",fontsize=16,color="magenta"];64 -> 114[label="",style="dashed", color="magenta", weight=3]; 64 -> 115[label="",style="dashed", color="magenta", weight=3]; 65 -> 47[label="",style="dashed", color="red", weight=0]; 65[label="yu30 == yu4000",fontsize=16,color="magenta"];65 -> 116[label="",style="dashed", color="magenta", weight=3]; 65 -> 117[label="",style="dashed", color="magenta", weight=3]; 66 -> 48[label="",style="dashed", color="red", weight=0]; 66[label="yu30 == yu4000",fontsize=16,color="magenta"];66 -> 118[label="",style="dashed", color="magenta", weight=3]; 66 -> 119[label="",style="dashed", color="magenta", weight=3]; 67 -> 49[label="",style="dashed", color="red", weight=0]; 67[label="yu30 == yu4000",fontsize=16,color="magenta"];67 -> 120[label="",style="dashed", color="magenta", weight=3]; 67 -> 121[label="",style="dashed", color="magenta", weight=3]; 68[label="lookup1 (Right yu22) (Right yu23) yu24 yu25 False",fontsize=16,color="black",shape="box"];68 -> 122[label="",style="solid", color="black", weight=3]; 69[label="lookup1 (Right yu22) (Right yu23) yu24 yu25 True",fontsize=16,color="black",shape="box"];69 -> 123[label="",style="solid", color="black", weight=3]; 70[label="LT == yu4000",fontsize=16,color="burlywood",shape="box"];815[label="yu4000/LT",fontsize=10,color="white",style="solid",shape="box"];70 -> 815[label="",style="solid", color="burlywood", weight=9]; 815 -> 124[label="",style="solid", color="burlywood", weight=3]; 816[label="yu4000/EQ",fontsize=10,color="white",style="solid",shape="box"];70 -> 816[label="",style="solid", color="burlywood", weight=9]; 816 -> 125[label="",style="solid", color="burlywood", weight=3]; 817[label="yu4000/GT",fontsize=10,color="white",style="solid",shape="box"];70 -> 817[label="",style="solid", color="burlywood", weight=9]; 817 -> 126[label="",style="solid", color="burlywood", weight=3]; 71[label="EQ == yu4000",fontsize=16,color="burlywood",shape="box"];818[label="yu4000/LT",fontsize=10,color="white",style="solid",shape="box"];71 -> 818[label="",style="solid", color="burlywood", weight=9]; 818 -> 127[label="",style="solid", color="burlywood", weight=3]; 819[label="yu4000/EQ",fontsize=10,color="white",style="solid",shape="box"];71 -> 819[label="",style="solid", color="burlywood", weight=9]; 819 -> 128[label="",style="solid", color="burlywood", weight=3]; 820[label="yu4000/GT",fontsize=10,color="white",style="solid",shape="box"];71 -> 820[label="",style="solid", color="burlywood", weight=9]; 820 -> 129[label="",style="solid", color="burlywood", weight=3]; 72[label="GT == yu4000",fontsize=16,color="burlywood",shape="box"];821[label="yu4000/LT",fontsize=10,color="white",style="solid",shape="box"];72 -> 821[label="",style="solid", color="burlywood", weight=9]; 821 -> 130[label="",style="solid", color="burlywood", weight=3]; 822[label="yu4000/EQ",fontsize=10,color="white",style="solid",shape="box"];72 -> 822[label="",style="solid", color="burlywood", weight=9]; 822 -> 131[label="",style="solid", color="burlywood", weight=3]; 823[label="yu4000/GT",fontsize=10,color="white",style="solid",shape="box"];72 -> 823[label="",style="solid", color="burlywood", weight=9]; 823 -> 132[label="",style="solid", color="burlywood", weight=3]; 73[label="primEqFloat yu30 yu4000",fontsize=16,color="burlywood",shape="box"];824[label="yu30/Float yu300 yu301",fontsize=10,color="white",style="solid",shape="box"];73 -> 824[label="",style="solid", color="burlywood", weight=9]; 824 -> 133[label="",style="solid", color="burlywood", weight=3]; 74[label="yu300 :% yu301 == yu4000",fontsize=16,color="burlywood",shape="box"];825[label="yu4000/yu40000 :% yu40001",fontsize=10,color="white",style="solid",shape="box"];74 -> 825[label="",style="solid", color="burlywood", weight=9]; 825 -> 134[label="",style="solid", color="burlywood", weight=3]; 75[label="(yu300,yu301,yu302) == yu4000",fontsize=16,color="burlywood",shape="box"];826[label="yu4000/(yu40000,yu40001,yu40002)",fontsize=10,color="white",style="solid",shape="box"];75 -> 826[label="",style="solid", color="burlywood", weight=9]; 826 -> 135[label="",style="solid", color="burlywood", weight=3]; 76[label="Integer yu300 == yu4000",fontsize=16,color="burlywood",shape="box"];827[label="yu4000/Integer yu40000",fontsize=10,color="white",style="solid",shape="box"];76 -> 827[label="",style="solid", color="burlywood", weight=9]; 827 -> 136[label="",style="solid", color="burlywood", weight=3]; 77[label="Left yu300 == yu4000",fontsize=16,color="burlywood",shape="box"];828[label="yu4000/Left yu40000",fontsize=10,color="white",style="solid",shape="box"];77 -> 828[label="",style="solid", color="burlywood", weight=9]; 828 -> 137[label="",style="solid", color="burlywood", weight=3]; 829[label="yu4000/Right yu40000",fontsize=10,color="white",style="solid",shape="box"];77 -> 829[label="",style="solid", color="burlywood", weight=9]; 829 -> 138[label="",style="solid", color="burlywood", weight=3]; 78[label="Right yu300 == yu4000",fontsize=16,color="burlywood",shape="box"];830[label="yu4000/Left yu40000",fontsize=10,color="white",style="solid",shape="box"];78 -> 830[label="",style="solid", color="burlywood", weight=9]; 830 -> 139[label="",style="solid", color="burlywood", weight=3]; 831[label="yu4000/Right yu40000",fontsize=10,color="white",style="solid",shape="box"];78 -> 831[label="",style="solid", color="burlywood", weight=9]; 831 -> 140[label="",style="solid", color="burlywood", weight=3]; 79[label="primEqDouble yu30 yu4000",fontsize=16,color="burlywood",shape="box"];832[label="yu30/Double yu300 yu301",fontsize=10,color="white",style="solid",shape="box"];79 -> 832[label="",style="solid", color="burlywood", weight=9]; 832 -> 141[label="",style="solid", color="burlywood", weight=3]; 80[label="() == yu4000",fontsize=16,color="burlywood",shape="box"];833[label="yu4000/()",fontsize=10,color="white",style="solid",shape="box"];80 -> 833[label="",style="solid", color="burlywood", weight=9]; 833 -> 142[label="",style="solid", color="burlywood", weight=3]; 81[label="False == yu4000",fontsize=16,color="burlywood",shape="box"];834[label="yu4000/False",fontsize=10,color="white",style="solid",shape="box"];81 -> 834[label="",style="solid", color="burlywood", weight=9]; 834 -> 143[label="",style="solid", color="burlywood", weight=3]; 835[label="yu4000/True",fontsize=10,color="white",style="solid",shape="box"];81 -> 835[label="",style="solid", color="burlywood", weight=9]; 835 -> 144[label="",style="solid", color="burlywood", weight=3]; 82[label="True == yu4000",fontsize=16,color="burlywood",shape="box"];836[label="yu4000/False",fontsize=10,color="white",style="solid",shape="box"];82 -> 836[label="",style="solid", color="burlywood", weight=9]; 836 -> 145[label="",style="solid", color="burlywood", weight=3]; 837[label="yu4000/True",fontsize=10,color="white",style="solid",shape="box"];82 -> 837[label="",style="solid", color="burlywood", weight=9]; 837 -> 146[label="",style="solid", color="burlywood", weight=3]; 83[label="yu300 : yu301 == yu4000",fontsize=16,color="burlywood",shape="box"];838[label="yu4000/yu40000 : yu40001",fontsize=10,color="white",style="solid",shape="box"];83 -> 838[label="",style="solid", color="burlywood", weight=9]; 838 -> 147[label="",style="solid", color="burlywood", weight=3]; 839[label="yu4000/[]",fontsize=10,color="white",style="solid",shape="box"];83 -> 839[label="",style="solid", color="burlywood", weight=9]; 839 -> 148[label="",style="solid", color="burlywood", weight=3]; 84[label="[] == yu4000",fontsize=16,color="burlywood",shape="box"];840[label="yu4000/yu40000 : yu40001",fontsize=10,color="white",style="solid",shape="box"];84 -> 840[label="",style="solid", color="burlywood", weight=9]; 840 -> 149[label="",style="solid", color="burlywood", weight=3]; 841[label="yu4000/[]",fontsize=10,color="white",style="solid",shape="box"];84 -> 841[label="",style="solid", color="burlywood", weight=9]; 841 -> 150[label="",style="solid", color="burlywood", weight=3]; 85[label="Nothing == yu4000",fontsize=16,color="burlywood",shape="box"];842[label="yu4000/Nothing",fontsize=10,color="white",style="solid",shape="box"];85 -> 842[label="",style="solid", color="burlywood", weight=9]; 842 -> 151[label="",style="solid", color="burlywood", weight=3]; 843[label="yu4000/Just yu40000",fontsize=10,color="white",style="solid",shape="box"];85 -> 843[label="",style="solid", color="burlywood", weight=9]; 843 -> 152[label="",style="solid", color="burlywood", weight=3]; 86[label="Just yu300 == yu4000",fontsize=16,color="burlywood",shape="box"];844[label="yu4000/Nothing",fontsize=10,color="white",style="solid",shape="box"];86 -> 844[label="",style="solid", color="burlywood", weight=9]; 844 -> 153[label="",style="solid", color="burlywood", weight=3]; 845[label="yu4000/Just yu40000",fontsize=10,color="white",style="solid",shape="box"];86 -> 845[label="",style="solid", color="burlywood", weight=9]; 845 -> 154[label="",style="solid", color="burlywood", weight=3]; 87[label="primEqChar yu30 yu4000",fontsize=16,color="burlywood",shape="box"];846[label="yu30/Char yu300",fontsize=10,color="white",style="solid",shape="box"];87 -> 846[label="",style="solid", color="burlywood", weight=9]; 846 -> 155[label="",style="solid", color="burlywood", weight=3]; 88[label="primEqInt yu30 yu4000",fontsize=16,color="burlywood",shape="triangle"];847[label="yu30/Pos yu300",fontsize=10,color="white",style="solid",shape="box"];88 -> 847[label="",style="solid", color="burlywood", weight=9]; 847 -> 156[label="",style="solid", color="burlywood", weight=3]; 848[label="yu30/Neg yu300",fontsize=10,color="white",style="solid",shape="box"];88 -> 848[label="",style="solid", color="burlywood", weight=9]; 848 -> 157[label="",style="solid", color="burlywood", weight=3]; 89[label="(yu300,yu301) == yu4000",fontsize=16,color="burlywood",shape="box"];849[label="yu4000/(yu40000,yu40001)",fontsize=10,color="white",style="solid",shape="box"];89 -> 849[label="",style="solid", color="burlywood", weight=9]; 849 -> 158[label="",style="solid", color="burlywood", weight=3]; 90[label="lookup0 (Left yu11) (Left yu12) yu13 yu14 otherwise",fontsize=16,color="black",shape="box"];90 -> 159[label="",style="solid", color="black", weight=3]; 91[label="Just yu13",fontsize=16,color="green",shape="box"];92 -> 4[label="",style="dashed", color="red", weight=0]; 92[label="lookup (Left yu30) yu41",fontsize=16,color="magenta"];92 -> 160[label="",style="dashed", color="magenta", weight=3]; 92 -> 161[label="",style="dashed", color="magenta", weight=3]; 93 -> 4[label="",style="dashed", color="red", weight=0]; 93[label="lookup (Right yu30) yu41",fontsize=16,color="magenta"];93 -> 162[label="",style="dashed", color="magenta", weight=3]; 93 -> 163[label="",style="dashed", color="magenta", weight=3]; 94[label="yu30",fontsize=16,color="green",shape="box"];95[label="yu4000",fontsize=16,color="green",shape="box"];96[label="yu30",fontsize=16,color="green",shape="box"];97[label="yu4000",fontsize=16,color="green",shape="box"];98[label="yu30",fontsize=16,color="green",shape="box"];99[label="yu4000",fontsize=16,color="green",shape="box"];100[label="yu30",fontsize=16,color="green",shape="box"];101[label="yu4000",fontsize=16,color="green",shape="box"];102[label="yu30",fontsize=16,color="green",shape="box"];103[label="yu4000",fontsize=16,color="green",shape="box"];104[label="yu30",fontsize=16,color="green",shape="box"];105[label="yu4000",fontsize=16,color="green",shape="box"];106[label="yu30",fontsize=16,color="green",shape="box"];107[label="yu4000",fontsize=16,color="green",shape="box"];108[label="yu30",fontsize=16,color="green",shape="box"];109[label="yu4000",fontsize=16,color="green",shape="box"];110[label="yu30",fontsize=16,color="green",shape="box"];111[label="yu4000",fontsize=16,color="green",shape="box"];112[label="yu30",fontsize=16,color="green",shape="box"];113[label="yu4000",fontsize=16,color="green",shape="box"];114[label="yu30",fontsize=16,color="green",shape="box"];115[label="yu4000",fontsize=16,color="green",shape="box"];116[label="yu30",fontsize=16,color="green",shape="box"];117[label="yu4000",fontsize=16,color="green",shape="box"];118[label="yu30",fontsize=16,color="green",shape="box"];119[label="yu4000",fontsize=16,color="green",shape="box"];120[label="yu30",fontsize=16,color="green",shape="box"];121[label="yu4000",fontsize=16,color="green",shape="box"];122[label="lookup0 (Right yu22) (Right yu23) yu24 yu25 otherwise",fontsize=16,color="black",shape="box"];122 -> 164[label="",style="solid", color="black", weight=3]; 123[label="Just yu24",fontsize=16,color="green",shape="box"];124[label="LT == LT",fontsize=16,color="black",shape="box"];124 -> 165[label="",style="solid", color="black", weight=3]; 125[label="LT == EQ",fontsize=16,color="black",shape="box"];125 -> 166[label="",style="solid", color="black", weight=3]; 126[label="LT == GT",fontsize=16,color="black",shape="box"];126 -> 167[label="",style="solid", color="black", weight=3]; 127[label="EQ == LT",fontsize=16,color="black",shape="box"];127 -> 168[label="",style="solid", color="black", weight=3]; 128[label="EQ == EQ",fontsize=16,color="black",shape="box"];128 -> 169[label="",style="solid", color="black", weight=3]; 129[label="EQ == GT",fontsize=16,color="black",shape="box"];129 -> 170[label="",style="solid", color="black", weight=3]; 130[label="GT == LT",fontsize=16,color="black",shape="box"];130 -> 171[label="",style="solid", color="black", weight=3]; 131[label="GT == EQ",fontsize=16,color="black",shape="box"];131 -> 172[label="",style="solid", color="black", weight=3]; 132[label="GT == GT",fontsize=16,color="black",shape="box"];132 -> 173[label="",style="solid", color="black", weight=3]; 133[label="primEqFloat (Float yu300 yu301) yu4000",fontsize=16,color="burlywood",shape="box"];850[label="yu4000/Float yu40000 yu40001",fontsize=10,color="white",style="solid",shape="box"];133 -> 850[label="",style="solid", color="burlywood", weight=9]; 850 -> 174[label="",style="solid", color="burlywood", weight=3]; 134[label="yu300 :% yu301 == yu40000 :% yu40001",fontsize=16,color="black",shape="box"];134 -> 175[label="",style="solid", color="black", weight=3]; 135[label="(yu300,yu301,yu302) == (yu40000,yu40001,yu40002)",fontsize=16,color="black",shape="box"];135 -> 176[label="",style="solid", color="black", weight=3]; 136[label="Integer yu300 == Integer yu40000",fontsize=16,color="black",shape="box"];136 -> 177[label="",style="solid", color="black", weight=3]; 137[label="Left yu300 == Left yu40000",fontsize=16,color="black",shape="box"];137 -> 178[label="",style="solid", color="black", weight=3]; 138[label="Left yu300 == Right yu40000",fontsize=16,color="black",shape="box"];138 -> 179[label="",style="solid", color="black", weight=3]; 139[label="Right yu300 == Left yu40000",fontsize=16,color="black",shape="box"];139 -> 180[label="",style="solid", color="black", weight=3]; 140[label="Right yu300 == Right yu40000",fontsize=16,color="black",shape="box"];140 -> 181[label="",style="solid", color="black", weight=3]; 141[label="primEqDouble (Double yu300 yu301) yu4000",fontsize=16,color="burlywood",shape="box"];851[label="yu4000/Double yu40000 yu40001",fontsize=10,color="white",style="solid",shape="box"];141 -> 851[label="",style="solid", color="burlywood", weight=9]; 851 -> 182[label="",style="solid", color="burlywood", weight=3]; 142[label="() == ()",fontsize=16,color="black",shape="box"];142 -> 183[label="",style="solid", color="black", weight=3]; 143[label="False == False",fontsize=16,color="black",shape="box"];143 -> 184[label="",style="solid", color="black", weight=3]; 144[label="False == True",fontsize=16,color="black",shape="box"];144 -> 185[label="",style="solid", color="black", weight=3]; 145[label="True == False",fontsize=16,color="black",shape="box"];145 -> 186[label="",style="solid", color="black", weight=3]; 146[label="True == True",fontsize=16,color="black",shape="box"];146 -> 187[label="",style="solid", color="black", weight=3]; 147[label="yu300 : yu301 == yu40000 : yu40001",fontsize=16,color="black",shape="box"];147 -> 188[label="",style="solid", color="black", weight=3]; 148[label="yu300 : yu301 == []",fontsize=16,color="black",shape="box"];148 -> 189[label="",style="solid", color="black", weight=3]; 149[label="[] == yu40000 : yu40001",fontsize=16,color="black",shape="box"];149 -> 190[label="",style="solid", color="black", weight=3]; 150[label="[] == []",fontsize=16,color="black",shape="box"];150 -> 191[label="",style="solid", color="black", weight=3]; 151[label="Nothing == Nothing",fontsize=16,color="black",shape="box"];151 -> 192[label="",style="solid", color="black", weight=3]; 152[label="Nothing == Just yu40000",fontsize=16,color="black",shape="box"];152 -> 193[label="",style="solid", color="black", weight=3]; 153[label="Just yu300 == Nothing",fontsize=16,color="black",shape="box"];153 -> 194[label="",style="solid", color="black", weight=3]; 154[label="Just yu300 == Just yu40000",fontsize=16,color="black",shape="box"];154 -> 195[label="",style="solid", color="black", weight=3]; 155[label="primEqChar (Char yu300) yu4000",fontsize=16,color="burlywood",shape="box"];852[label="yu4000/Char yu40000",fontsize=10,color="white",style="solid",shape="box"];155 -> 852[label="",style="solid", color="burlywood", weight=9]; 852 -> 196[label="",style="solid", color="burlywood", weight=3]; 156[label="primEqInt (Pos yu300) yu4000",fontsize=16,color="burlywood",shape="box"];853[label="yu300/Succ yu3000",fontsize=10,color="white",style="solid",shape="box"];156 -> 853[label="",style="solid", color="burlywood", weight=9]; 853 -> 197[label="",style="solid", color="burlywood", weight=3]; 854[label="yu300/Zero",fontsize=10,color="white",style="solid",shape="box"];156 -> 854[label="",style="solid", color="burlywood", weight=9]; 854 -> 198[label="",style="solid", color="burlywood", weight=3]; 157[label="primEqInt (Neg yu300) yu4000",fontsize=16,color="burlywood",shape="box"];855[label="yu300/Succ yu3000",fontsize=10,color="white",style="solid",shape="box"];157 -> 855[label="",style="solid", color="burlywood", weight=9]; 855 -> 199[label="",style="solid", color="burlywood", weight=3]; 856[label="yu300/Zero",fontsize=10,color="white",style="solid",shape="box"];157 -> 856[label="",style="solid", color="burlywood", weight=9]; 856 -> 200[label="",style="solid", color="burlywood", weight=3]; 158[label="(yu300,yu301) == (yu40000,yu40001)",fontsize=16,color="black",shape="box"];158 -> 201[label="",style="solid", color="black", weight=3]; 159[label="lookup0 (Left yu11) (Left yu12) yu13 yu14 True",fontsize=16,color="black",shape="box"];159 -> 202[label="",style="solid", color="black", weight=3]; 160[label="yu41",fontsize=16,color="green",shape="box"];161[label="Left yu30",fontsize=16,color="green",shape="box"];162[label="yu41",fontsize=16,color="green",shape="box"];163[label="Right yu30",fontsize=16,color="green",shape="box"];164[label="lookup0 (Right yu22) (Right yu23) yu24 yu25 True",fontsize=16,color="black",shape="box"];164 -> 203[label="",style="solid", color="black", weight=3]; 165[label="True",fontsize=16,color="green",shape="box"];166[label="False",fontsize=16,color="green",shape="box"];167[label="False",fontsize=16,color="green",shape="box"];168[label="False",fontsize=16,color="green",shape="box"];169[label="True",fontsize=16,color="green",shape="box"];170[label="False",fontsize=16,color="green",shape="box"];171[label="False",fontsize=16,color="green",shape="box"];172[label="False",fontsize=16,color="green",shape="box"];173[label="True",fontsize=16,color="green",shape="box"];174[label="primEqFloat (Float yu300 yu301) (Float yu40000 yu40001)",fontsize=16,color="black",shape="box"];174 -> 204[label="",style="solid", color="black", weight=3]; 175 -> 288[label="",style="dashed", color="red", weight=0]; 175[label="yu300 == yu40000 && yu301 == yu40001",fontsize=16,color="magenta"];175 -> 289[label="",style="dashed", color="magenta", weight=3]; 175 -> 290[label="",style="dashed", color="magenta", weight=3]; 176 -> 288[label="",style="dashed", color="red", weight=0]; 176[label="yu300 == yu40000 && yu301 == yu40001 && yu302 == yu40002",fontsize=16,color="magenta"];176 -> 291[label="",style="dashed", color="magenta", weight=3]; 176 -> 292[label="",style="dashed", color="magenta", weight=3]; 177 -> 88[label="",style="dashed", color="red", weight=0]; 177[label="primEqInt yu300 yu40000",fontsize=16,color="magenta"];177 -> 226[label="",style="dashed", color="magenta", weight=3]; 177 -> 227[label="",style="dashed", color="magenta", weight=3]; 178[label="yu300 == yu40000",fontsize=16,color="blue",shape="box"];857[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];178 -> 857[label="",style="solid", color="blue", weight=9]; 857 -> 228[label="",style="solid", color="blue", weight=3]; 858[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];178 -> 858[label="",style="solid", color="blue", weight=9]; 858 -> 229[label="",style="solid", color="blue", weight=3]; 859[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];178 -> 859[label="",style="solid", color="blue", weight=9]; 859 -> 230[label="",style="solid", color="blue", weight=3]; 860[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];178 -> 860[label="",style="solid", color="blue", weight=9]; 860 -> 231[label="",style="solid", color="blue", weight=3]; 861[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];178 -> 861[label="",style="solid", color="blue", weight=9]; 861 -> 232[label="",style="solid", color="blue", weight=3]; 862[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];178 -> 862[label="",style="solid", color="blue", weight=9]; 862 -> 233[label="",style="solid", color="blue", weight=3]; 863[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];178 -> 863[label="",style="solid", color="blue", weight=9]; 863 -> 234[label="",style="solid", color="blue", weight=3]; 864[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];178 -> 864[label="",style="solid", color="blue", weight=9]; 864 -> 235[label="",style="solid", color="blue", weight=3]; 865[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];178 -> 865[label="",style="solid", color="blue", weight=9]; 865 -> 236[label="",style="solid", color="blue", weight=3]; 866[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];178 -> 866[label="",style="solid", color="blue", weight=9]; 866 -> 237[label="",style="solid", color="blue", weight=3]; 867[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];178 -> 867[label="",style="solid", color="blue", weight=9]; 867 -> 238[label="",style="solid", color="blue", weight=3]; 868[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];178 -> 868[label="",style="solid", color="blue", weight=9]; 868 -> 239[label="",style="solid", color="blue", weight=3]; 869[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];178 -> 869[label="",style="solid", color="blue", weight=9]; 869 -> 240[label="",style="solid", color="blue", weight=3]; 870[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];178 -> 870[label="",style="solid", color="blue", weight=9]; 870 -> 241[label="",style="solid", color="blue", weight=3]; 179[label="False",fontsize=16,color="green",shape="box"];180[label="False",fontsize=16,color="green",shape="box"];181[label="yu300 == yu40000",fontsize=16,color="blue",shape="box"];871[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];181 -> 871[label="",style="solid", color="blue", weight=9]; 871 -> 242[label="",style="solid", color="blue", weight=3]; 872[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];181 -> 872[label="",style="solid", color="blue", weight=9]; 872 -> 243[label="",style="solid", color="blue", weight=3]; 873[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];181 -> 873[label="",style="solid", color="blue", weight=9]; 873 -> 244[label="",style="solid", color="blue", weight=3]; 874[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];181 -> 874[label="",style="solid", color="blue", weight=9]; 874 -> 245[label="",style="solid", color="blue", weight=3]; 875[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];181 -> 875[label="",style="solid", color="blue", weight=9]; 875 -> 246[label="",style="solid", color="blue", weight=3]; 876[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];181 -> 876[label="",style="solid", color="blue", weight=9]; 876 -> 247[label="",style="solid", color="blue", weight=3]; 877[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];181 -> 877[label="",style="solid", color="blue", weight=9]; 877 -> 248[label="",style="solid", color="blue", weight=3]; 878[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];181 -> 878[label="",style="solid", color="blue", weight=9]; 878 -> 249[label="",style="solid", color="blue", weight=3]; 879[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];181 -> 879[label="",style="solid", color="blue", weight=9]; 879 -> 250[label="",style="solid", color="blue", weight=3]; 880[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];181 -> 880[label="",style="solid", color="blue", weight=9]; 880 -> 251[label="",style="solid", color="blue", weight=3]; 881[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];181 -> 881[label="",style="solid", color="blue", weight=9]; 881 -> 252[label="",style="solid", color="blue", weight=3]; 882[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];181 -> 882[label="",style="solid", color="blue", weight=9]; 882 -> 253[label="",style="solid", color="blue", weight=3]; 883[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];181 -> 883[label="",style="solid", color="blue", weight=9]; 883 -> 254[label="",style="solid", color="blue", weight=3]; 884[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];181 -> 884[label="",style="solid", color="blue", weight=9]; 884 -> 255[label="",style="solid", color="blue", weight=3]; 182[label="primEqDouble (Double yu300 yu301) (Double yu40000 yu40001)",fontsize=16,color="black",shape="box"];182 -> 256[label="",style="solid", color="black", weight=3]; 183[label="True",fontsize=16,color="green",shape="box"];184[label="True",fontsize=16,color="green",shape="box"];185[label="False",fontsize=16,color="green",shape="box"];186[label="False",fontsize=16,color="green",shape="box"];187[label="True",fontsize=16,color="green",shape="box"];188 -> 288[label="",style="dashed", color="red", weight=0]; 188[label="yu300 == yu40000 && yu301 == yu40001",fontsize=16,color="magenta"];188 -> 293[label="",style="dashed", color="magenta", weight=3]; 188 -> 294[label="",style="dashed", color="magenta", weight=3]; 189[label="False",fontsize=16,color="green",shape="box"];190[label="False",fontsize=16,color="green",shape="box"];191[label="True",fontsize=16,color="green",shape="box"];192[label="True",fontsize=16,color="green",shape="box"];193[label="False",fontsize=16,color="green",shape="box"];194[label="False",fontsize=16,color="green",shape="box"];195[label="yu300 == yu40000",fontsize=16,color="blue",shape="box"];885[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];195 -> 885[label="",style="solid", color="blue", weight=9]; 885 -> 257[label="",style="solid", color="blue", weight=3]; 886[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];195 -> 886[label="",style="solid", color="blue", weight=9]; 886 -> 258[label="",style="solid", color="blue", weight=3]; 887[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];195 -> 887[label="",style="solid", color="blue", weight=9]; 887 -> 259[label="",style="solid", color="blue", weight=3]; 888[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];195 -> 888[label="",style="solid", color="blue", weight=9]; 888 -> 260[label="",style="solid", color="blue", weight=3]; 889[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];195 -> 889[label="",style="solid", color="blue", weight=9]; 889 -> 261[label="",style="solid", color="blue", weight=3]; 890[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];195 -> 890[label="",style="solid", color="blue", weight=9]; 890 -> 262[label="",style="solid", color="blue", weight=3]; 891[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];195 -> 891[label="",style="solid", color="blue", weight=9]; 891 -> 263[label="",style="solid", color="blue", weight=3]; 892[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];195 -> 892[label="",style="solid", color="blue", weight=9]; 892 -> 264[label="",style="solid", color="blue", weight=3]; 893[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];195 -> 893[label="",style="solid", color="blue", weight=9]; 893 -> 265[label="",style="solid", color="blue", weight=3]; 894[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];195 -> 894[label="",style="solid", color="blue", weight=9]; 894 -> 266[label="",style="solid", color="blue", weight=3]; 895[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];195 -> 895[label="",style="solid", color="blue", weight=9]; 895 -> 267[label="",style="solid", color="blue", weight=3]; 896[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];195 -> 896[label="",style="solid", color="blue", weight=9]; 896 -> 268[label="",style="solid", color="blue", weight=3]; 897[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];195 -> 897[label="",style="solid", color="blue", weight=9]; 897 -> 269[label="",style="solid", color="blue", weight=3]; 898[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];195 -> 898[label="",style="solid", color="blue", weight=9]; 898 -> 270[label="",style="solid", color="blue", weight=3]; 196[label="primEqChar (Char yu300) (Char yu40000)",fontsize=16,color="black",shape="box"];196 -> 271[label="",style="solid", color="black", weight=3]; 197[label="primEqInt (Pos (Succ yu3000)) yu4000",fontsize=16,color="burlywood",shape="box"];899[label="yu4000/Pos yu40000",fontsize=10,color="white",style="solid",shape="box"];197 -> 899[label="",style="solid", color="burlywood", weight=9]; 899 -> 272[label="",style="solid", color="burlywood", weight=3]; 900[label="yu4000/Neg yu40000",fontsize=10,color="white",style="solid",shape="box"];197 -> 900[label="",style="solid", color="burlywood", weight=9]; 900 -> 273[label="",style="solid", color="burlywood", weight=3]; 198[label="primEqInt (Pos Zero) yu4000",fontsize=16,color="burlywood",shape="box"];901[label="yu4000/Pos yu40000",fontsize=10,color="white",style="solid",shape="box"];198 -> 901[label="",style="solid", color="burlywood", weight=9]; 901 -> 274[label="",style="solid", color="burlywood", weight=3]; 902[label="yu4000/Neg yu40000",fontsize=10,color="white",style="solid",shape="box"];198 -> 902[label="",style="solid", color="burlywood", weight=9]; 902 -> 275[label="",style="solid", color="burlywood", weight=3]; 199[label="primEqInt (Neg (Succ yu3000)) yu4000",fontsize=16,color="burlywood",shape="box"];903[label="yu4000/Pos yu40000",fontsize=10,color="white",style="solid",shape="box"];199 -> 903[label="",style="solid", color="burlywood", weight=9]; 903 -> 276[label="",style="solid", color="burlywood", weight=3]; 904[label="yu4000/Neg yu40000",fontsize=10,color="white",style="solid",shape="box"];199 -> 904[label="",style="solid", color="burlywood", weight=9]; 904 -> 277[label="",style="solid", color="burlywood", weight=3]; 200[label="primEqInt (Neg Zero) yu4000",fontsize=16,color="burlywood",shape="box"];905[label="yu4000/Pos yu40000",fontsize=10,color="white",style="solid",shape="box"];200 -> 905[label="",style="solid", color="burlywood", weight=9]; 905 -> 278[label="",style="solid", color="burlywood", weight=3]; 906[label="yu4000/Neg yu40000",fontsize=10,color="white",style="solid",shape="box"];200 -> 906[label="",style="solid", color="burlywood", weight=9]; 906 -> 279[label="",style="solid", color="burlywood", weight=3]; 201 -> 288[label="",style="dashed", color="red", weight=0]; 201[label="yu300 == yu40000 && yu301 == yu40001",fontsize=16,color="magenta"];201 -> 295[label="",style="dashed", color="magenta", weight=3]; 201 -> 296[label="",style="dashed", color="magenta", weight=3]; 202 -> 4[label="",style="dashed", color="red", weight=0]; 202[label="lookup (Left yu11) yu14",fontsize=16,color="magenta"];202 -> 280[label="",style="dashed", color="magenta", weight=3]; 202 -> 281[label="",style="dashed", color="magenta", weight=3]; 203 -> 4[label="",style="dashed", color="red", weight=0]; 203[label="lookup (Right yu22) yu25",fontsize=16,color="magenta"];203 -> 282[label="",style="dashed", color="magenta", weight=3]; 203 -> 283[label="",style="dashed", color="magenta", weight=3]; 204 -> 48[label="",style="dashed", color="red", weight=0]; 204[label="yu300 * yu40001 == yu301 * yu40000",fontsize=16,color="magenta"];204 -> 284[label="",style="dashed", color="magenta", weight=3]; 204 -> 285[label="",style="dashed", color="magenta", weight=3]; 289[label="yu300 == yu40000",fontsize=16,color="blue",shape="box"];907[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];289 -> 907[label="",style="solid", color="blue", weight=9]; 907 -> 301[label="",style="solid", color="blue", weight=3]; 908[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];289 -> 908[label="",style="solid", color="blue", weight=9]; 908 -> 302[label="",style="solid", color="blue", weight=3]; 290[label="yu301 == yu40001",fontsize=16,color="blue",shape="box"];909[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];290 -> 909[label="",style="solid", color="blue", weight=9]; 909 -> 303[label="",style="solid", color="blue", weight=3]; 910[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];290 -> 910[label="",style="solid", color="blue", weight=9]; 910 -> 304[label="",style="solid", color="blue", weight=3]; 288[label="yu38 && yu39",fontsize=16,color="burlywood",shape="triangle"];911[label="yu38/False",fontsize=10,color="white",style="solid",shape="box"];288 -> 911[label="",style="solid", color="burlywood", weight=9]; 911 -> 305[label="",style="solid", color="burlywood", weight=3]; 912[label="yu38/True",fontsize=10,color="white",style="solid",shape="box"];288 -> 912[label="",style="solid", color="burlywood", weight=9]; 912 -> 306[label="",style="solid", color="burlywood", weight=3]; 291[label="yu300 == yu40000",fontsize=16,color="blue",shape="box"];913[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];291 -> 913[label="",style="solid", color="blue", weight=9]; 913 -> 307[label="",style="solid", color="blue", weight=3]; 914[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];291 -> 914[label="",style="solid", color="blue", weight=9]; 914 -> 308[label="",style="solid", color="blue", weight=3]; 915[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];291 -> 915[label="",style="solid", color="blue", weight=9]; 915 -> 309[label="",style="solid", color="blue", weight=3]; 916[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];291 -> 916[label="",style="solid", color="blue", weight=9]; 916 -> 310[label="",style="solid", color="blue", weight=3]; 917[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];291 -> 917[label="",style="solid", color="blue", weight=9]; 917 -> 311[label="",style="solid", color="blue", weight=3]; 918[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];291 -> 918[label="",style="solid", color="blue", weight=9]; 918 -> 312[label="",style="solid", color="blue", weight=3]; 919[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];291 -> 919[label="",style="solid", color="blue", weight=9]; 919 -> 313[label="",style="solid", color="blue", weight=3]; 920[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];291 -> 920[label="",style="solid", color="blue", weight=9]; 920 -> 314[label="",style="solid", color="blue", weight=3]; 921[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];291 -> 921[label="",style="solid", color="blue", weight=9]; 921 -> 315[label="",style="solid", color="blue", weight=3]; 922[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];291 -> 922[label="",style="solid", color="blue", weight=9]; 922 -> 316[label="",style="solid", color="blue", weight=3]; 923[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];291 -> 923[label="",style="solid", color="blue", weight=9]; 923 -> 317[label="",style="solid", color="blue", weight=3]; 924[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];291 -> 924[label="",style="solid", color="blue", weight=9]; 924 -> 318[label="",style="solid", color="blue", weight=3]; 925[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];291 -> 925[label="",style="solid", color="blue", weight=9]; 925 -> 319[label="",style="solid", color="blue", weight=3]; 926[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];291 -> 926[label="",style="solid", color="blue", weight=9]; 926 -> 320[label="",style="solid", color="blue", weight=3]; 292 -> 288[label="",style="dashed", color="red", weight=0]; 292[label="yu301 == yu40001 && yu302 == yu40002",fontsize=16,color="magenta"];292 -> 321[label="",style="dashed", color="magenta", weight=3]; 292 -> 322[label="",style="dashed", color="magenta", weight=3]; 226[label="yu300",fontsize=16,color="green",shape="box"];227[label="yu40000",fontsize=16,color="green",shape="box"];228 -> 36[label="",style="dashed", color="red", weight=0]; 228[label="yu300 == yu40000",fontsize=16,color="magenta"];228 -> 323[label="",style="dashed", color="magenta", weight=3]; 228 -> 324[label="",style="dashed", color="magenta", weight=3]; 229 -> 37[label="",style="dashed", color="red", weight=0]; 229[label="yu300 == yu40000",fontsize=16,color="magenta"];229 -> 325[label="",style="dashed", color="magenta", weight=3]; 229 -> 326[label="",style="dashed", color="magenta", weight=3]; 230 -> 38[label="",style="dashed", color="red", weight=0]; 230[label="yu300 == yu40000",fontsize=16,color="magenta"];230 -> 327[label="",style="dashed", color="magenta", weight=3]; 230 -> 328[label="",style="dashed", color="magenta", weight=3]; 231 -> 39[label="",style="dashed", color="red", weight=0]; 231[label="yu300 == yu40000",fontsize=16,color="magenta"];231 -> 329[label="",style="dashed", color="magenta", weight=3]; 231 -> 330[label="",style="dashed", color="magenta", weight=3]; 232 -> 40[label="",style="dashed", color="red", weight=0]; 232[label="yu300 == yu40000",fontsize=16,color="magenta"];232 -> 331[label="",style="dashed", color="magenta", weight=3]; 232 -> 332[label="",style="dashed", color="magenta", weight=3]; 233 -> 41[label="",style="dashed", color="red", weight=0]; 233[label="yu300 == yu40000",fontsize=16,color="magenta"];233 -> 333[label="",style="dashed", color="magenta", weight=3]; 233 -> 334[label="",style="dashed", color="magenta", weight=3]; 234 -> 42[label="",style="dashed", color="red", weight=0]; 234[label="yu300 == yu40000",fontsize=16,color="magenta"];234 -> 335[label="",style="dashed", color="magenta", weight=3]; 234 -> 336[label="",style="dashed", color="magenta", weight=3]; 235 -> 43[label="",style="dashed", color="red", weight=0]; 235[label="yu300 == yu40000",fontsize=16,color="magenta"];235 -> 337[label="",style="dashed", color="magenta", weight=3]; 235 -> 338[label="",style="dashed", color="magenta", weight=3]; 236 -> 44[label="",style="dashed", color="red", weight=0]; 236[label="yu300 == yu40000",fontsize=16,color="magenta"];236 -> 339[label="",style="dashed", color="magenta", weight=3]; 236 -> 340[label="",style="dashed", color="magenta", weight=3]; 237 -> 45[label="",style="dashed", color="red", weight=0]; 237[label="yu300 == yu40000",fontsize=16,color="magenta"];237 -> 341[label="",style="dashed", color="magenta", weight=3]; 237 -> 342[label="",style="dashed", color="magenta", weight=3]; 238 -> 46[label="",style="dashed", color="red", weight=0]; 238[label="yu300 == yu40000",fontsize=16,color="magenta"];238 -> 343[label="",style="dashed", color="magenta", weight=3]; 238 -> 344[label="",style="dashed", color="magenta", weight=3]; 239 -> 47[label="",style="dashed", color="red", weight=0]; 239[label="yu300 == yu40000",fontsize=16,color="magenta"];239 -> 345[label="",style="dashed", color="magenta", weight=3]; 239 -> 346[label="",style="dashed", color="magenta", weight=3]; 240 -> 48[label="",style="dashed", color="red", weight=0]; 240[label="yu300 == yu40000",fontsize=16,color="magenta"];240 -> 347[label="",style="dashed", color="magenta", weight=3]; 240 -> 348[label="",style="dashed", color="magenta", weight=3]; 241 -> 49[label="",style="dashed", color="red", weight=0]; 241[label="yu300 == yu40000",fontsize=16,color="magenta"];241 -> 349[label="",style="dashed", color="magenta", weight=3]; 241 -> 350[label="",style="dashed", color="magenta", weight=3]; 242 -> 36[label="",style="dashed", color="red", weight=0]; 242[label="yu300 == yu40000",fontsize=16,color="magenta"];242 -> 351[label="",style="dashed", color="magenta", weight=3]; 242 -> 352[label="",style="dashed", color="magenta", weight=3]; 243 -> 37[label="",style="dashed", color="red", weight=0]; 243[label="yu300 == yu40000",fontsize=16,color="magenta"];243 -> 353[label="",style="dashed", color="magenta", weight=3]; 243 -> 354[label="",style="dashed", color="magenta", weight=3]; 244 -> 38[label="",style="dashed", color="red", weight=0]; 244[label="yu300 == yu40000",fontsize=16,color="magenta"];244 -> 355[label="",style="dashed", color="magenta", weight=3]; 244 -> 356[label="",style="dashed", color="magenta", weight=3]; 245 -> 39[label="",style="dashed", color="red", weight=0]; 245[label="yu300 == yu40000",fontsize=16,color="magenta"];245 -> 357[label="",style="dashed", color="magenta", weight=3]; 245 -> 358[label="",style="dashed", color="magenta", weight=3]; 246 -> 40[label="",style="dashed", color="red", weight=0]; 246[label="yu300 == yu40000",fontsize=16,color="magenta"];246 -> 359[label="",style="dashed", color="magenta", weight=3]; 246 -> 360[label="",style="dashed", color="magenta", weight=3]; 247 -> 41[label="",style="dashed", color="red", weight=0]; 247[label="yu300 == yu40000",fontsize=16,color="magenta"];247 -> 361[label="",style="dashed", color="magenta", weight=3]; 247 -> 362[label="",style="dashed", color="magenta", weight=3]; 248 -> 42[label="",style="dashed", color="red", weight=0]; 248[label="yu300 == yu40000",fontsize=16,color="magenta"];248 -> 363[label="",style="dashed", color="magenta", weight=3]; 248 -> 364[label="",style="dashed", color="magenta", weight=3]; 249 -> 43[label="",style="dashed", color="red", weight=0]; 249[label="yu300 == yu40000",fontsize=16,color="magenta"];249 -> 365[label="",style="dashed", color="magenta", weight=3]; 249 -> 366[label="",style="dashed", color="magenta", weight=3]; 250 -> 44[label="",style="dashed", color="red", weight=0]; 250[label="yu300 == yu40000",fontsize=16,color="magenta"];250 -> 367[label="",style="dashed", color="magenta", weight=3]; 250 -> 368[label="",style="dashed", color="magenta", weight=3]; 251 -> 45[label="",style="dashed", color="red", weight=0]; 251[label="yu300 == yu40000",fontsize=16,color="magenta"];251 -> 369[label="",style="dashed", color="magenta", weight=3]; 251 -> 370[label="",style="dashed", color="magenta", weight=3]; 252 -> 46[label="",style="dashed", color="red", weight=0]; 252[label="yu300 == yu40000",fontsize=16,color="magenta"];252 -> 371[label="",style="dashed", color="magenta", weight=3]; 252 -> 372[label="",style="dashed", color="magenta", weight=3]; 253 -> 47[label="",style="dashed", color="red", weight=0]; 253[label="yu300 == yu40000",fontsize=16,color="magenta"];253 -> 373[label="",style="dashed", color="magenta", weight=3]; 253 -> 374[label="",style="dashed", color="magenta", weight=3]; 254 -> 48[label="",style="dashed", color="red", weight=0]; 254[label="yu300 == yu40000",fontsize=16,color="magenta"];254 -> 375[label="",style="dashed", color="magenta", weight=3]; 254 -> 376[label="",style="dashed", color="magenta", weight=3]; 255 -> 49[label="",style="dashed", color="red", weight=0]; 255[label="yu300 == yu40000",fontsize=16,color="magenta"];255 -> 377[label="",style="dashed", color="magenta", weight=3]; 255 -> 378[label="",style="dashed", color="magenta", weight=3]; 256 -> 48[label="",style="dashed", color="red", weight=0]; 256[label="yu300 * yu40001 == yu301 * yu40000",fontsize=16,color="magenta"];256 -> 379[label="",style="dashed", color="magenta", weight=3]; 256 -> 380[label="",style="dashed", color="magenta", weight=3]; 293[label="yu300 == yu40000",fontsize=16,color="blue",shape="box"];927[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];293 -> 927[label="",style="solid", color="blue", weight=9]; 927 -> 381[label="",style="solid", color="blue", weight=3]; 928[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];293 -> 928[label="",style="solid", color="blue", weight=9]; 928 -> 382[label="",style="solid", color="blue", weight=3]; 929[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];293 -> 929[label="",style="solid", color="blue", weight=9]; 929 -> 383[label="",style="solid", color="blue", weight=3]; 930[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];293 -> 930[label="",style="solid", color="blue", weight=9]; 930 -> 384[label="",style="solid", color="blue", weight=3]; 931[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];293 -> 931[label="",style="solid", color="blue", weight=9]; 931 -> 385[label="",style="solid", color="blue", weight=3]; 932[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];293 -> 932[label="",style="solid", color="blue", weight=9]; 932 -> 386[label="",style="solid", color="blue", weight=3]; 933[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];293 -> 933[label="",style="solid", color="blue", weight=9]; 933 -> 387[label="",style="solid", color="blue", weight=3]; 934[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];293 -> 934[label="",style="solid", color="blue", weight=9]; 934 -> 388[label="",style="solid", color="blue", weight=3]; 935[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];293 -> 935[label="",style="solid", color="blue", weight=9]; 935 -> 389[label="",style="solid", color="blue", weight=3]; 936[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];293 -> 936[label="",style="solid", color="blue", weight=9]; 936 -> 390[label="",style="solid", color="blue", weight=3]; 937[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];293 -> 937[label="",style="solid", color="blue", weight=9]; 937 -> 391[label="",style="solid", color="blue", weight=3]; 938[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];293 -> 938[label="",style="solid", color="blue", weight=9]; 938 -> 392[label="",style="solid", color="blue", weight=3]; 939[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];293 -> 939[label="",style="solid", color="blue", weight=9]; 939 -> 393[label="",style="solid", color="blue", weight=3]; 940[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];293 -> 940[label="",style="solid", color="blue", weight=9]; 940 -> 394[label="",style="solid", color="blue", weight=3]; 294 -> 45[label="",style="dashed", color="red", weight=0]; 294[label="yu301 == yu40001",fontsize=16,color="magenta"];294 -> 395[label="",style="dashed", color="magenta", weight=3]; 294 -> 396[label="",style="dashed", color="magenta", weight=3]; 257 -> 36[label="",style="dashed", color="red", weight=0]; 257[label="yu300 == yu40000",fontsize=16,color="magenta"];257 -> 397[label="",style="dashed", color="magenta", weight=3]; 257 -> 398[label="",style="dashed", color="magenta", weight=3]; 258 -> 37[label="",style="dashed", color="red", weight=0]; 258[label="yu300 == yu40000",fontsize=16,color="magenta"];258 -> 399[label="",style="dashed", color="magenta", weight=3]; 258 -> 400[label="",style="dashed", color="magenta", weight=3]; 259 -> 38[label="",style="dashed", color="red", weight=0]; 259[label="yu300 == yu40000",fontsize=16,color="magenta"];259 -> 401[label="",style="dashed", color="magenta", weight=3]; 259 -> 402[label="",style="dashed", color="magenta", weight=3]; 260 -> 39[label="",style="dashed", color="red", weight=0]; 260[label="yu300 == yu40000",fontsize=16,color="magenta"];260 -> 403[label="",style="dashed", color="magenta", weight=3]; 260 -> 404[label="",style="dashed", color="magenta", weight=3]; 261 -> 40[label="",style="dashed", color="red", weight=0]; 261[label="yu300 == yu40000",fontsize=16,color="magenta"];261 -> 405[label="",style="dashed", color="magenta", weight=3]; 261 -> 406[label="",style="dashed", color="magenta", weight=3]; 262 -> 41[label="",style="dashed", color="red", weight=0]; 262[label="yu300 == yu40000",fontsize=16,color="magenta"];262 -> 407[label="",style="dashed", color="magenta", weight=3]; 262 -> 408[label="",style="dashed", color="magenta", weight=3]; 263 -> 42[label="",style="dashed", color="red", weight=0]; 263[label="yu300 == yu40000",fontsize=16,color="magenta"];263 -> 409[label="",style="dashed", color="magenta", weight=3]; 263 -> 410[label="",style="dashed", color="magenta", weight=3]; 264 -> 43[label="",style="dashed", color="red", weight=0]; 264[label="yu300 == yu40000",fontsize=16,color="magenta"];264 -> 411[label="",style="dashed", color="magenta", weight=3]; 264 -> 412[label="",style="dashed", color="magenta", weight=3]; 265 -> 44[label="",style="dashed", color="red", weight=0]; 265[label="yu300 == yu40000",fontsize=16,color="magenta"];265 -> 413[label="",style="dashed", color="magenta", weight=3]; 265 -> 414[label="",style="dashed", color="magenta", weight=3]; 266 -> 45[label="",style="dashed", color="red", weight=0]; 266[label="yu300 == yu40000",fontsize=16,color="magenta"];266 -> 415[label="",style="dashed", color="magenta", weight=3]; 266 -> 416[label="",style="dashed", color="magenta", weight=3]; 267 -> 46[label="",style="dashed", color="red", weight=0]; 267[label="yu300 == yu40000",fontsize=16,color="magenta"];267 -> 417[label="",style="dashed", color="magenta", weight=3]; 267 -> 418[label="",style="dashed", color="magenta", weight=3]; 268 -> 47[label="",style="dashed", color="red", weight=0]; 268[label="yu300 == yu40000",fontsize=16,color="magenta"];268 -> 419[label="",style="dashed", color="magenta", weight=3]; 268 -> 420[label="",style="dashed", color="magenta", weight=3]; 269 -> 48[label="",style="dashed", color="red", weight=0]; 269[label="yu300 == yu40000",fontsize=16,color="magenta"];269 -> 421[label="",style="dashed", color="magenta", weight=3]; 269 -> 422[label="",style="dashed", color="magenta", weight=3]; 270 -> 49[label="",style="dashed", color="red", weight=0]; 270[label="yu300 == yu40000",fontsize=16,color="magenta"];270 -> 423[label="",style="dashed", color="magenta", weight=3]; 270 -> 424[label="",style="dashed", color="magenta", weight=3]; 271[label="primEqNat yu300 yu40000",fontsize=16,color="burlywood",shape="triangle"];941[label="yu300/Succ yu3000",fontsize=10,color="white",style="solid",shape="box"];271 -> 941[label="",style="solid", color="burlywood", weight=9]; 941 -> 425[label="",style="solid", color="burlywood", weight=3]; 942[label="yu300/Zero",fontsize=10,color="white",style="solid",shape="box"];271 -> 942[label="",style="solid", color="burlywood", weight=9]; 942 -> 426[label="",style="solid", color="burlywood", weight=3]; 272[label="primEqInt (Pos (Succ yu3000)) (Pos yu40000)",fontsize=16,color="burlywood",shape="box"];943[label="yu40000/Succ yu400000",fontsize=10,color="white",style="solid",shape="box"];272 -> 943[label="",style="solid", color="burlywood", weight=9]; 943 -> 427[label="",style="solid", color="burlywood", weight=3]; 944[label="yu40000/Zero",fontsize=10,color="white",style="solid",shape="box"];272 -> 944[label="",style="solid", color="burlywood", weight=9]; 944 -> 428[label="",style="solid", color="burlywood", weight=3]; 273[label="primEqInt (Pos (Succ yu3000)) (Neg yu40000)",fontsize=16,color="black",shape="box"];273 -> 429[label="",style="solid", color="black", weight=3]; 274[label="primEqInt (Pos Zero) (Pos yu40000)",fontsize=16,color="burlywood",shape="box"];945[label="yu40000/Succ yu400000",fontsize=10,color="white",style="solid",shape="box"];274 -> 945[label="",style="solid", color="burlywood", weight=9]; 945 -> 430[label="",style="solid", color="burlywood", weight=3]; 946[label="yu40000/Zero",fontsize=10,color="white",style="solid",shape="box"];274 -> 946[label="",style="solid", color="burlywood", weight=9]; 946 -> 431[label="",style="solid", color="burlywood", weight=3]; 275[label="primEqInt (Pos Zero) (Neg yu40000)",fontsize=16,color="burlywood",shape="box"];947[label="yu40000/Succ yu400000",fontsize=10,color="white",style="solid",shape="box"];275 -> 947[label="",style="solid", color="burlywood", weight=9]; 947 -> 432[label="",style="solid", color="burlywood", weight=3]; 948[label="yu40000/Zero",fontsize=10,color="white",style="solid",shape="box"];275 -> 948[label="",style="solid", color="burlywood", weight=9]; 948 -> 433[label="",style="solid", color="burlywood", weight=3]; 276[label="primEqInt (Neg (Succ yu3000)) (Pos yu40000)",fontsize=16,color="black",shape="box"];276 -> 434[label="",style="solid", color="black", weight=3]; 277[label="primEqInt (Neg (Succ yu3000)) (Neg yu40000)",fontsize=16,color="burlywood",shape="box"];949[label="yu40000/Succ yu400000",fontsize=10,color="white",style="solid",shape="box"];277 -> 949[label="",style="solid", color="burlywood", weight=9]; 949 -> 435[label="",style="solid", color="burlywood", weight=3]; 950[label="yu40000/Zero",fontsize=10,color="white",style="solid",shape="box"];277 -> 950[label="",style="solid", color="burlywood", weight=9]; 950 -> 436[label="",style="solid", color="burlywood", weight=3]; 278[label="primEqInt (Neg Zero) (Pos yu40000)",fontsize=16,color="burlywood",shape="box"];951[label="yu40000/Succ yu400000",fontsize=10,color="white",style="solid",shape="box"];278 -> 951[label="",style="solid", color="burlywood", weight=9]; 951 -> 437[label="",style="solid", color="burlywood", weight=3]; 952[label="yu40000/Zero",fontsize=10,color="white",style="solid",shape="box"];278 -> 952[label="",style="solid", color="burlywood", weight=9]; 952 -> 438[label="",style="solid", color="burlywood", weight=3]; 279[label="primEqInt (Neg Zero) (Neg yu40000)",fontsize=16,color="burlywood",shape="box"];953[label="yu40000/Succ yu400000",fontsize=10,color="white",style="solid",shape="box"];279 -> 953[label="",style="solid", color="burlywood", weight=9]; 953 -> 439[label="",style="solid", color="burlywood", weight=3]; 954[label="yu40000/Zero",fontsize=10,color="white",style="solid",shape="box"];279 -> 954[label="",style="solid", color="burlywood", weight=9]; 954 -> 440[label="",style="solid", color="burlywood", weight=3]; 295[label="yu300 == yu40000",fontsize=16,color="blue",shape="box"];955[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];295 -> 955[label="",style="solid", color="blue", weight=9]; 955 -> 441[label="",style="solid", color="blue", weight=3]; 956[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];295 -> 956[label="",style="solid", color="blue", weight=9]; 956 -> 442[label="",style="solid", color="blue", weight=3]; 957[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];295 -> 957[label="",style="solid", color="blue", weight=9]; 957 -> 443[label="",style="solid", color="blue", weight=3]; 958[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];295 -> 958[label="",style="solid", color="blue", weight=9]; 958 -> 444[label="",style="solid", color="blue", weight=3]; 959[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];295 -> 959[label="",style="solid", color="blue", weight=9]; 959 -> 445[label="",style="solid", color="blue", weight=3]; 960[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];295 -> 960[label="",style="solid", color="blue", weight=9]; 960 -> 446[label="",style="solid", color="blue", weight=3]; 961[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];295 -> 961[label="",style="solid", color="blue", weight=9]; 961 -> 447[label="",style="solid", color="blue", weight=3]; 962[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];295 -> 962[label="",style="solid", color="blue", weight=9]; 962 -> 448[label="",style="solid", color="blue", weight=3]; 963[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];295 -> 963[label="",style="solid", color="blue", weight=9]; 963 -> 449[label="",style="solid", color="blue", weight=3]; 964[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];295 -> 964[label="",style="solid", color="blue", weight=9]; 964 -> 450[label="",style="solid", color="blue", weight=3]; 965[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];295 -> 965[label="",style="solid", color="blue", weight=9]; 965 -> 451[label="",style="solid", color="blue", weight=3]; 966[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];295 -> 966[label="",style="solid", color="blue", weight=9]; 966 -> 452[label="",style="solid", color="blue", weight=3]; 967[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];295 -> 967[label="",style="solid", color="blue", weight=9]; 967 -> 453[label="",style="solid", color="blue", weight=3]; 968[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];295 -> 968[label="",style="solid", color="blue", weight=9]; 968 -> 454[label="",style="solid", color="blue", weight=3]; 296[label="yu301 == yu40001",fontsize=16,color="blue",shape="box"];969[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];296 -> 969[label="",style="solid", color="blue", weight=9]; 969 -> 455[label="",style="solid", color="blue", weight=3]; 970[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];296 -> 970[label="",style="solid", color="blue", weight=9]; 970 -> 456[label="",style="solid", color="blue", weight=3]; 971[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];296 -> 971[label="",style="solid", color="blue", weight=9]; 971 -> 457[label="",style="solid", color="blue", weight=3]; 972[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];296 -> 972[label="",style="solid", color="blue", weight=9]; 972 -> 458[label="",style="solid", color="blue", weight=3]; 973[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];296 -> 973[label="",style="solid", color="blue", weight=9]; 973 -> 459[label="",style="solid", color="blue", weight=3]; 974[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];296 -> 974[label="",style="solid", color="blue", weight=9]; 974 -> 460[label="",style="solid", color="blue", weight=3]; 975[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];296 -> 975[label="",style="solid", color="blue", weight=9]; 975 -> 461[label="",style="solid", color="blue", weight=3]; 976[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];296 -> 976[label="",style="solid", color="blue", weight=9]; 976 -> 462[label="",style="solid", color="blue", weight=3]; 977[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];296 -> 977[label="",style="solid", color="blue", weight=9]; 977 -> 463[label="",style="solid", color="blue", weight=3]; 978[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];296 -> 978[label="",style="solid", color="blue", weight=9]; 978 -> 464[label="",style="solid", color="blue", weight=3]; 979[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];296 -> 979[label="",style="solid", color="blue", weight=9]; 979 -> 465[label="",style="solid", color="blue", weight=3]; 980[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];296 -> 980[label="",style="solid", color="blue", weight=9]; 980 -> 466[label="",style="solid", color="blue", weight=3]; 981[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];296 -> 981[label="",style="solid", color="blue", weight=9]; 981 -> 467[label="",style="solid", color="blue", weight=3]; 982[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];296 -> 982[label="",style="solid", color="blue", weight=9]; 982 -> 468[label="",style="solid", color="blue", weight=3]; 280[label="yu14",fontsize=16,color="green",shape="box"];281[label="Left yu11",fontsize=16,color="green",shape="box"];282[label="yu25",fontsize=16,color="green",shape="box"];283[label="Right yu22",fontsize=16,color="green",shape="box"];284[label="yu300 * yu40001",fontsize=16,color="black",shape="triangle"];284 -> 469[label="",style="solid", color="black", weight=3]; 285 -> 284[label="",style="dashed", color="red", weight=0]; 285[label="yu301 * yu40000",fontsize=16,color="magenta"];285 -> 470[label="",style="dashed", color="magenta", weight=3]; 285 -> 471[label="",style="dashed", color="magenta", weight=3]; 301 -> 40[label="",style="dashed", color="red", weight=0]; 301[label="yu300 == yu40000",fontsize=16,color="magenta"];301 -> 472[label="",style="dashed", color="magenta", weight=3]; 301 -> 473[label="",style="dashed", color="magenta", weight=3]; 302 -> 48[label="",style="dashed", color="red", weight=0]; 302[label="yu300 == yu40000",fontsize=16,color="magenta"];302 -> 474[label="",style="dashed", color="magenta", weight=3]; 302 -> 475[label="",style="dashed", color="magenta", weight=3]; 303 -> 40[label="",style="dashed", color="red", weight=0]; 303[label="yu301 == yu40001",fontsize=16,color="magenta"];303 -> 476[label="",style="dashed", color="magenta", weight=3]; 303 -> 477[label="",style="dashed", color="magenta", weight=3]; 304 -> 48[label="",style="dashed", color="red", weight=0]; 304[label="yu301 == yu40001",fontsize=16,color="magenta"];304 -> 478[label="",style="dashed", color="magenta", weight=3]; 304 -> 479[label="",style="dashed", color="magenta", weight=3]; 305[label="False && yu39",fontsize=16,color="black",shape="box"];305 -> 480[label="",style="solid", color="black", weight=3]; 306[label="True && yu39",fontsize=16,color="black",shape="box"];306 -> 481[label="",style="solid", color="black", weight=3]; 307 -> 36[label="",style="dashed", color="red", weight=0]; 307[label="yu300 == yu40000",fontsize=16,color="magenta"];307 -> 482[label="",style="dashed", color="magenta", weight=3]; 307 -> 483[label="",style="dashed", color="magenta", weight=3]; 308 -> 37[label="",style="dashed", color="red", weight=0]; 308[label="yu300 == yu40000",fontsize=16,color="magenta"];308 -> 484[label="",style="dashed", color="magenta", weight=3]; 308 -> 485[label="",style="dashed", color="magenta", weight=3]; 309 -> 38[label="",style="dashed", color="red", weight=0]; 309[label="yu300 == yu40000",fontsize=16,color="magenta"];309 -> 486[label="",style="dashed", color="magenta", weight=3]; 309 -> 487[label="",style="dashed", color="magenta", weight=3]; 310 -> 39[label="",style="dashed", color="red", weight=0]; 310[label="yu300 == yu40000",fontsize=16,color="magenta"];310 -> 488[label="",style="dashed", color="magenta", weight=3]; 310 -> 489[label="",style="dashed", color="magenta", weight=3]; 311 -> 40[label="",style="dashed", color="red", weight=0]; 311[label="yu300 == yu40000",fontsize=16,color="magenta"];311 -> 490[label="",style="dashed", color="magenta", weight=3]; 311 -> 491[label="",style="dashed", color="magenta", weight=3]; 312 -> 41[label="",style="dashed", color="red", weight=0]; 312[label="yu300 == yu40000",fontsize=16,color="magenta"];312 -> 492[label="",style="dashed", color="magenta", weight=3]; 312 -> 493[label="",style="dashed", color="magenta", weight=3]; 313 -> 42[label="",style="dashed", color="red", weight=0]; 313[label="yu300 == yu40000",fontsize=16,color="magenta"];313 -> 494[label="",style="dashed", color="magenta", weight=3]; 313 -> 495[label="",style="dashed", color="magenta", weight=3]; 314 -> 43[label="",style="dashed", color="red", weight=0]; 314[label="yu300 == yu40000",fontsize=16,color="magenta"];314 -> 496[label="",style="dashed", color="magenta", weight=3]; 314 -> 497[label="",style="dashed", color="magenta", weight=3]; 315 -> 44[label="",style="dashed", color="red", weight=0]; 315[label="yu300 == yu40000",fontsize=16,color="magenta"];315 -> 498[label="",style="dashed", color="magenta", weight=3]; 315 -> 499[label="",style="dashed", color="magenta", weight=3]; 316 -> 45[label="",style="dashed", color="red", weight=0]; 316[label="yu300 == yu40000",fontsize=16,color="magenta"];316 -> 500[label="",style="dashed", color="magenta", weight=3]; 316 -> 501[label="",style="dashed", color="magenta", weight=3]; 317 -> 46[label="",style="dashed", color="red", weight=0]; 317[label="yu300 == yu40000",fontsize=16,color="magenta"];317 -> 502[label="",style="dashed", color="magenta", weight=3]; 317 -> 503[label="",style="dashed", color="magenta", weight=3]; 318 -> 47[label="",style="dashed", color="red", weight=0]; 318[label="yu300 == yu40000",fontsize=16,color="magenta"];318 -> 504[label="",style="dashed", color="magenta", weight=3]; 318 -> 505[label="",style="dashed", color="magenta", weight=3]; 319 -> 48[label="",style="dashed", color="red", weight=0]; 319[label="yu300 == yu40000",fontsize=16,color="magenta"];319 -> 506[label="",style="dashed", color="magenta", weight=3]; 319 -> 507[label="",style="dashed", color="magenta", weight=3]; 320 -> 49[label="",style="dashed", color="red", weight=0]; 320[label="yu300 == yu40000",fontsize=16,color="magenta"];320 -> 508[label="",style="dashed", color="magenta", weight=3]; 320 -> 509[label="",style="dashed", color="magenta", weight=3]; 321[label="yu301 == yu40001",fontsize=16,color="blue",shape="box"];983[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];321 -> 983[label="",style="solid", color="blue", weight=9]; 983 -> 510[label="",style="solid", color="blue", weight=3]; 984[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];321 -> 984[label="",style="solid", color="blue", weight=9]; 984 -> 511[label="",style="solid", color="blue", weight=3]; 985[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];321 -> 985[label="",style="solid", color="blue", weight=9]; 985 -> 512[label="",style="solid", color="blue", weight=3]; 986[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];321 -> 986[label="",style="solid", color="blue", weight=9]; 986 -> 513[label="",style="solid", color="blue", weight=3]; 987[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];321 -> 987[label="",style="solid", color="blue", weight=9]; 987 -> 514[label="",style="solid", color="blue", weight=3]; 988[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];321 -> 988[label="",style="solid", color="blue", weight=9]; 988 -> 515[label="",style="solid", color="blue", weight=3]; 989[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];321 -> 989[label="",style="solid", color="blue", weight=9]; 989 -> 516[label="",style="solid", color="blue", weight=3]; 990[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];321 -> 990[label="",style="solid", color="blue", weight=9]; 990 -> 517[label="",style="solid", color="blue", weight=3]; 991[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];321 -> 991[label="",style="solid", color="blue", weight=9]; 991 -> 518[label="",style="solid", color="blue", weight=3]; 992[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];321 -> 992[label="",style="solid", color="blue", weight=9]; 992 -> 519[label="",style="solid", color="blue", weight=3]; 993[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];321 -> 993[label="",style="solid", color="blue", weight=9]; 993 -> 520[label="",style="solid", color="blue", weight=3]; 994[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];321 -> 994[label="",style="solid", color="blue", weight=9]; 994 -> 521[label="",style="solid", color="blue", weight=3]; 995[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];321 -> 995[label="",style="solid", color="blue", weight=9]; 995 -> 522[label="",style="solid", color="blue", weight=3]; 996[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];321 -> 996[label="",style="solid", color="blue", weight=9]; 996 -> 523[label="",style="solid", color="blue", weight=3]; 322[label="yu302 == yu40002",fontsize=16,color="blue",shape="box"];997[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];322 -> 997[label="",style="solid", color="blue", weight=9]; 997 -> 524[label="",style="solid", color="blue", weight=3]; 998[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];322 -> 998[label="",style="solid", color="blue", weight=9]; 998 -> 525[label="",style="solid", color="blue", weight=3]; 999[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];322 -> 999[label="",style="solid", color="blue", weight=9]; 999 -> 526[label="",style="solid", color="blue", weight=3]; 1000[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];322 -> 1000[label="",style="solid", color="blue", weight=9]; 1000 -> 527[label="",style="solid", color="blue", weight=3]; 1001[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];322 -> 1001[label="",style="solid", color="blue", weight=9]; 1001 -> 528[label="",style="solid", color="blue", weight=3]; 1002[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];322 -> 1002[label="",style="solid", color="blue", weight=9]; 1002 -> 529[label="",style="solid", color="blue", weight=3]; 1003[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];322 -> 1003[label="",style="solid", color="blue", weight=9]; 1003 -> 530[label="",style="solid", color="blue", weight=3]; 1004[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];322 -> 1004[label="",style="solid", color="blue", weight=9]; 1004 -> 531[label="",style="solid", color="blue", weight=3]; 1005[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];322 -> 1005[label="",style="solid", color="blue", weight=9]; 1005 -> 532[label="",style="solid", color="blue", weight=3]; 1006[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];322 -> 1006[label="",style="solid", color="blue", weight=9]; 1006 -> 533[label="",style="solid", color="blue", weight=3]; 1007[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];322 -> 1007[label="",style="solid", color="blue", weight=9]; 1007 -> 534[label="",style="solid", color="blue", weight=3]; 1008[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];322 -> 1008[label="",style="solid", color="blue", weight=9]; 1008 -> 535[label="",style="solid", color="blue", weight=3]; 1009[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];322 -> 1009[label="",style="solid", color="blue", weight=9]; 1009 -> 536[label="",style="solid", color="blue", weight=3]; 1010[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];322 -> 1010[label="",style="solid", color="blue", weight=9]; 1010 -> 537[label="",style="solid", color="blue", weight=3]; 323[label="yu300",fontsize=16,color="green",shape="box"];324[label="yu40000",fontsize=16,color="green",shape="box"];325[label="yu300",fontsize=16,color="green",shape="box"];326[label="yu40000",fontsize=16,color="green",shape="box"];327[label="yu300",fontsize=16,color="green",shape="box"];328[label="yu40000",fontsize=16,color="green",shape="box"];329[label="yu300",fontsize=16,color="green",shape="box"];330[label="yu40000",fontsize=16,color="green",shape="box"];331[label="yu300",fontsize=16,color="green",shape="box"];332[label="yu40000",fontsize=16,color="green",shape="box"];333[label="yu300",fontsize=16,color="green",shape="box"];334[label="yu40000",fontsize=16,color="green",shape="box"];335[label="yu300",fontsize=16,color="green",shape="box"];336[label="yu40000",fontsize=16,color="green",shape="box"];337[label="yu300",fontsize=16,color="green",shape="box"];338[label="yu40000",fontsize=16,color="green",shape="box"];339[label="yu300",fontsize=16,color="green",shape="box"];340[label="yu40000",fontsize=16,color="green",shape="box"];341[label="yu300",fontsize=16,color="green",shape="box"];342[label="yu40000",fontsize=16,color="green",shape="box"];343[label="yu300",fontsize=16,color="green",shape="box"];344[label="yu40000",fontsize=16,color="green",shape="box"];345[label="yu300",fontsize=16,color="green",shape="box"];346[label="yu40000",fontsize=16,color="green",shape="box"];347[label="yu300",fontsize=16,color="green",shape="box"];348[label="yu40000",fontsize=16,color="green",shape="box"];349[label="yu300",fontsize=16,color="green",shape="box"];350[label="yu40000",fontsize=16,color="green",shape="box"];351[label="yu300",fontsize=16,color="green",shape="box"];352[label="yu40000",fontsize=16,color="green",shape="box"];353[label="yu300",fontsize=16,color="green",shape="box"];354[label="yu40000",fontsize=16,color="green",shape="box"];355[label="yu300",fontsize=16,color="green",shape="box"];356[label="yu40000",fontsize=16,color="green",shape="box"];357[label="yu300",fontsize=16,color="green",shape="box"];358[label="yu40000",fontsize=16,color="green",shape="box"];359[label="yu300",fontsize=16,color="green",shape="box"];360[label="yu40000",fontsize=16,color="green",shape="box"];361[label="yu300",fontsize=16,color="green",shape="box"];362[label="yu40000",fontsize=16,color="green",shape="box"];363[label="yu300",fontsize=16,color="green",shape="box"];364[label="yu40000",fontsize=16,color="green",shape="box"];365[label="yu300",fontsize=16,color="green",shape="box"];366[label="yu40000",fontsize=16,color="green",shape="box"];367[label="yu300",fontsize=16,color="green",shape="box"];368[label="yu40000",fontsize=16,color="green",shape="box"];369[label="yu300",fontsize=16,color="green",shape="box"];370[label="yu40000",fontsize=16,color="green",shape="box"];371[label="yu300",fontsize=16,color="green",shape="box"];372[label="yu40000",fontsize=16,color="green",shape="box"];373[label="yu300",fontsize=16,color="green",shape="box"];374[label="yu40000",fontsize=16,color="green",shape="box"];375[label="yu300",fontsize=16,color="green",shape="box"];376[label="yu40000",fontsize=16,color="green",shape="box"];377[label="yu300",fontsize=16,color="green",shape="box"];378[label="yu40000",fontsize=16,color="green",shape="box"];379 -> 284[label="",style="dashed", color="red", weight=0]; 379[label="yu300 * yu40001",fontsize=16,color="magenta"];379 -> 538[label="",style="dashed", color="magenta", weight=3]; 379 -> 539[label="",style="dashed", color="magenta", weight=3]; 380 -> 284[label="",style="dashed", color="red", weight=0]; 380[label="yu301 * yu40000",fontsize=16,color="magenta"];380 -> 540[label="",style="dashed", color="magenta", weight=3]; 380 -> 541[label="",style="dashed", color="magenta", weight=3]; 381 -> 36[label="",style="dashed", color="red", weight=0]; 381[label="yu300 == yu40000",fontsize=16,color="magenta"];381 -> 542[label="",style="dashed", color="magenta", weight=3]; 381 -> 543[label="",style="dashed", color="magenta", weight=3]; 382 -> 37[label="",style="dashed", color="red", weight=0]; 382[label="yu300 == yu40000",fontsize=16,color="magenta"];382 -> 544[label="",style="dashed", color="magenta", weight=3]; 382 -> 545[label="",style="dashed", color="magenta", weight=3]; 383 -> 38[label="",style="dashed", color="red", weight=0]; 383[label="yu300 == yu40000",fontsize=16,color="magenta"];383 -> 546[label="",style="dashed", color="magenta", weight=3]; 383 -> 547[label="",style="dashed", color="magenta", weight=3]; 384 -> 39[label="",style="dashed", color="red", weight=0]; 384[label="yu300 == yu40000",fontsize=16,color="magenta"];384 -> 548[label="",style="dashed", color="magenta", weight=3]; 384 -> 549[label="",style="dashed", color="magenta", weight=3]; 385 -> 40[label="",style="dashed", color="red", weight=0]; 385[label="yu300 == yu40000",fontsize=16,color="magenta"];385 -> 550[label="",style="dashed", color="magenta", weight=3]; 385 -> 551[label="",style="dashed", color="magenta", weight=3]; 386 -> 41[label="",style="dashed", color="red", weight=0]; 386[label="yu300 == yu40000",fontsize=16,color="magenta"];386 -> 552[label="",style="dashed", color="magenta", weight=3]; 386 -> 553[label="",style="dashed", color="magenta", weight=3]; 387 -> 42[label="",style="dashed", color="red", weight=0]; 387[label="yu300 == yu40000",fontsize=16,color="magenta"];387 -> 554[label="",style="dashed", color="magenta", weight=3]; 387 -> 555[label="",style="dashed", color="magenta", weight=3]; 388 -> 43[label="",style="dashed", color="red", weight=0]; 388[label="yu300 == yu40000",fontsize=16,color="magenta"];388 -> 556[label="",style="dashed", color="magenta", weight=3]; 388 -> 557[label="",style="dashed", color="magenta", weight=3]; 389 -> 44[label="",style="dashed", color="red", weight=0]; 389[label="yu300 == yu40000",fontsize=16,color="magenta"];389 -> 558[label="",style="dashed", color="magenta", weight=3]; 389 -> 559[label="",style="dashed", color="magenta", weight=3]; 390 -> 45[label="",style="dashed", color="red", weight=0]; 390[label="yu300 == yu40000",fontsize=16,color="magenta"];390 -> 560[label="",style="dashed", color="magenta", weight=3]; 390 -> 561[label="",style="dashed", color="magenta", weight=3]; 391 -> 46[label="",style="dashed", color="red", weight=0]; 391[label="yu300 == yu40000",fontsize=16,color="magenta"];391 -> 562[label="",style="dashed", color="magenta", weight=3]; 391 -> 563[label="",style="dashed", color="magenta", weight=3]; 392 -> 47[label="",style="dashed", color="red", weight=0]; 392[label="yu300 == yu40000",fontsize=16,color="magenta"];392 -> 564[label="",style="dashed", color="magenta", weight=3]; 392 -> 565[label="",style="dashed", color="magenta", weight=3]; 393 -> 48[label="",style="dashed", color="red", weight=0]; 393[label="yu300 == yu40000",fontsize=16,color="magenta"];393 -> 566[label="",style="dashed", color="magenta", weight=3]; 393 -> 567[label="",style="dashed", color="magenta", weight=3]; 394 -> 49[label="",style="dashed", color="red", weight=0]; 394[label="yu300 == yu40000",fontsize=16,color="magenta"];394 -> 568[label="",style="dashed", color="magenta", weight=3]; 394 -> 569[label="",style="dashed", color="magenta", weight=3]; 395[label="yu301",fontsize=16,color="green",shape="box"];396[label="yu40001",fontsize=16,color="green",shape="box"];397[label="yu300",fontsize=16,color="green",shape="box"];398[label="yu40000",fontsize=16,color="green",shape="box"];399[label="yu300",fontsize=16,color="green",shape="box"];400[label="yu40000",fontsize=16,color="green",shape="box"];401[label="yu300",fontsize=16,color="green",shape="box"];402[label="yu40000",fontsize=16,color="green",shape="box"];403[label="yu300",fontsize=16,color="green",shape="box"];404[label="yu40000",fontsize=16,color="green",shape="box"];405[label="yu300",fontsize=16,color="green",shape="box"];406[label="yu40000",fontsize=16,color="green",shape="box"];407[label="yu300",fontsize=16,color="green",shape="box"];408[label="yu40000",fontsize=16,color="green",shape="box"];409[label="yu300",fontsize=16,color="green",shape="box"];410[label="yu40000",fontsize=16,color="green",shape="box"];411[label="yu300",fontsize=16,color="green",shape="box"];412[label="yu40000",fontsize=16,color="green",shape="box"];413[label="yu300",fontsize=16,color="green",shape="box"];414[label="yu40000",fontsize=16,color="green",shape="box"];415[label="yu300",fontsize=16,color="green",shape="box"];416[label="yu40000",fontsize=16,color="green",shape="box"];417[label="yu300",fontsize=16,color="green",shape="box"];418[label="yu40000",fontsize=16,color="green",shape="box"];419[label="yu300",fontsize=16,color="green",shape="box"];420[label="yu40000",fontsize=16,color="green",shape="box"];421[label="yu300",fontsize=16,color="green",shape="box"];422[label="yu40000",fontsize=16,color="green",shape="box"];423[label="yu300",fontsize=16,color="green",shape="box"];424[label="yu40000",fontsize=16,color="green",shape="box"];425[label="primEqNat (Succ yu3000) yu40000",fontsize=16,color="burlywood",shape="box"];1011[label="yu40000/Succ yu400000",fontsize=10,color="white",style="solid",shape="box"];425 -> 1011[label="",style="solid", color="burlywood", weight=9]; 1011 -> 570[label="",style="solid", color="burlywood", weight=3]; 1012[label="yu40000/Zero",fontsize=10,color="white",style="solid",shape="box"];425 -> 1012[label="",style="solid", color="burlywood", weight=9]; 1012 -> 571[label="",style="solid", color="burlywood", weight=3]; 426[label="primEqNat Zero yu40000",fontsize=16,color="burlywood",shape="box"];1013[label="yu40000/Succ yu400000",fontsize=10,color="white",style="solid",shape="box"];426 -> 1013[label="",style="solid", color="burlywood", weight=9]; 1013 -> 572[label="",style="solid", color="burlywood", weight=3]; 1014[label="yu40000/Zero",fontsize=10,color="white",style="solid",shape="box"];426 -> 1014[label="",style="solid", color="burlywood", weight=9]; 1014 -> 573[label="",style="solid", color="burlywood", weight=3]; 427[label="primEqInt (Pos (Succ yu3000)) (Pos (Succ yu400000))",fontsize=16,color="black",shape="box"];427 -> 574[label="",style="solid", color="black", weight=3]; 428[label="primEqInt (Pos (Succ yu3000)) (Pos Zero)",fontsize=16,color="black",shape="box"];428 -> 575[label="",style="solid", color="black", weight=3]; 429[label="False",fontsize=16,color="green",shape="box"];430[label="primEqInt (Pos Zero) (Pos (Succ yu400000))",fontsize=16,color="black",shape="box"];430 -> 576[label="",style="solid", color="black", weight=3]; 431[label="primEqInt (Pos Zero) (Pos Zero)",fontsize=16,color="black",shape="box"];431 -> 577[label="",style="solid", color="black", weight=3]; 432[label="primEqInt (Pos Zero) (Neg (Succ yu400000))",fontsize=16,color="black",shape="box"];432 -> 578[label="",style="solid", color="black", weight=3]; 433[label="primEqInt (Pos Zero) (Neg Zero)",fontsize=16,color="black",shape="box"];433 -> 579[label="",style="solid", color="black", weight=3]; 434[label="False",fontsize=16,color="green",shape="box"];435[label="primEqInt (Neg (Succ yu3000)) (Neg (Succ yu400000))",fontsize=16,color="black",shape="box"];435 -> 580[label="",style="solid", color="black", weight=3]; 436[label="primEqInt (Neg (Succ yu3000)) (Neg Zero)",fontsize=16,color="black",shape="box"];436 -> 581[label="",style="solid", color="black", weight=3]; 437[label="primEqInt (Neg Zero) (Pos (Succ yu400000))",fontsize=16,color="black",shape="box"];437 -> 582[label="",style="solid", color="black", weight=3]; 438[label="primEqInt (Neg Zero) (Pos Zero)",fontsize=16,color="black",shape="box"];438 -> 583[label="",style="solid", color="black", weight=3]; 439[label="primEqInt (Neg Zero) (Neg (Succ yu400000))",fontsize=16,color="black",shape="box"];439 -> 584[label="",style="solid", color="black", weight=3]; 440[label="primEqInt (Neg Zero) (Neg Zero)",fontsize=16,color="black",shape="box"];440 -> 585[label="",style="solid", color="black", weight=3]; 441 -> 36[label="",style="dashed", color="red", weight=0]; 441[label="yu300 == yu40000",fontsize=16,color="magenta"];441 -> 586[label="",style="dashed", color="magenta", weight=3]; 441 -> 587[label="",style="dashed", color="magenta", weight=3]; 442 -> 37[label="",style="dashed", color="red", weight=0]; 442[label="yu300 == yu40000",fontsize=16,color="magenta"];442 -> 588[label="",style="dashed", color="magenta", weight=3]; 442 -> 589[label="",style="dashed", color="magenta", weight=3]; 443 -> 38[label="",style="dashed", color="red", weight=0]; 443[label="yu300 == yu40000",fontsize=16,color="magenta"];443 -> 590[label="",style="dashed", color="magenta", weight=3]; 443 -> 591[label="",style="dashed", color="magenta", weight=3]; 444 -> 39[label="",style="dashed", color="red", weight=0]; 444[label="yu300 == yu40000",fontsize=16,color="magenta"];444 -> 592[label="",style="dashed", color="magenta", weight=3]; 444 -> 593[label="",style="dashed", color="magenta", weight=3]; 445 -> 40[label="",style="dashed", color="red", weight=0]; 445[label="yu300 == yu40000",fontsize=16,color="magenta"];445 -> 594[label="",style="dashed", color="magenta", weight=3]; 445 -> 595[label="",style="dashed", color="magenta", weight=3]; 446 -> 41[label="",style="dashed", color="red", weight=0]; 446[label="yu300 == yu40000",fontsize=16,color="magenta"];446 -> 596[label="",style="dashed", color="magenta", weight=3]; 446 -> 597[label="",style="dashed", color="magenta", weight=3]; 447 -> 42[label="",style="dashed", color="red", weight=0]; 447[label="yu300 == yu40000",fontsize=16,color="magenta"];447 -> 598[label="",style="dashed", color="magenta", weight=3]; 447 -> 599[label="",style="dashed", color="magenta", weight=3]; 448 -> 43[label="",style="dashed", color="red", weight=0]; 448[label="yu300 == yu40000",fontsize=16,color="magenta"];448 -> 600[label="",style="dashed", color="magenta", weight=3]; 448 -> 601[label="",style="dashed", color="magenta", weight=3]; 449 -> 44[label="",style="dashed", color="red", weight=0]; 449[label="yu300 == yu40000",fontsize=16,color="magenta"];449 -> 602[label="",style="dashed", color="magenta", weight=3]; 449 -> 603[label="",style="dashed", color="magenta", weight=3]; 450 -> 45[label="",style="dashed", color="red", weight=0]; 450[label="yu300 == yu40000",fontsize=16,color="magenta"];450 -> 604[label="",style="dashed", color="magenta", weight=3]; 450 -> 605[label="",style="dashed", color="magenta", weight=3]; 451 -> 46[label="",style="dashed", color="red", weight=0]; 451[label="yu300 == yu40000",fontsize=16,color="magenta"];451 -> 606[label="",style="dashed", color="magenta", weight=3]; 451 -> 607[label="",style="dashed", color="magenta", weight=3]; 452 -> 47[label="",style="dashed", color="red", weight=0]; 452[label="yu300 == yu40000",fontsize=16,color="magenta"];452 -> 608[label="",style="dashed", color="magenta", weight=3]; 452 -> 609[label="",style="dashed", color="magenta", weight=3]; 453 -> 48[label="",style="dashed", color="red", weight=0]; 453[label="yu300 == yu40000",fontsize=16,color="magenta"];453 -> 610[label="",style="dashed", color="magenta", weight=3]; 453 -> 611[label="",style="dashed", color="magenta", weight=3]; 454 -> 49[label="",style="dashed", color="red", weight=0]; 454[label="yu300 == yu40000",fontsize=16,color="magenta"];454 -> 612[label="",style="dashed", color="magenta", weight=3]; 454 -> 613[label="",style="dashed", color="magenta", weight=3]; 455 -> 36[label="",style="dashed", color="red", weight=0]; 455[label="yu301 == yu40001",fontsize=16,color="magenta"];455 -> 614[label="",style="dashed", color="magenta", weight=3]; 455 -> 615[label="",style="dashed", color="magenta", weight=3]; 456 -> 37[label="",style="dashed", color="red", weight=0]; 456[label="yu301 == yu40001",fontsize=16,color="magenta"];456 -> 616[label="",style="dashed", color="magenta", weight=3]; 456 -> 617[label="",style="dashed", color="magenta", weight=3]; 457 -> 38[label="",style="dashed", color="red", weight=0]; 457[label="yu301 == yu40001",fontsize=16,color="magenta"];457 -> 618[label="",style="dashed", color="magenta", weight=3]; 457 -> 619[label="",style="dashed", color="magenta", weight=3]; 458 -> 39[label="",style="dashed", color="red", weight=0]; 458[label="yu301 == yu40001",fontsize=16,color="magenta"];458 -> 620[label="",style="dashed", color="magenta", weight=3]; 458 -> 621[label="",style="dashed", color="magenta", weight=3]; 459 -> 40[label="",style="dashed", color="red", weight=0]; 459[label="yu301 == yu40001",fontsize=16,color="magenta"];459 -> 622[label="",style="dashed", color="magenta", weight=3]; 459 -> 623[label="",style="dashed", color="magenta", weight=3]; 460 -> 41[label="",style="dashed", color="red", weight=0]; 460[label="yu301 == yu40001",fontsize=16,color="magenta"];460 -> 624[label="",style="dashed", color="magenta", weight=3]; 460 -> 625[label="",style="dashed", color="magenta", weight=3]; 461 -> 42[label="",style="dashed", color="red", weight=0]; 461[label="yu301 == yu40001",fontsize=16,color="magenta"];461 -> 626[label="",style="dashed", color="magenta", weight=3]; 461 -> 627[label="",style="dashed", color="magenta", weight=3]; 462 -> 43[label="",style="dashed", color="red", weight=0]; 462[label="yu301 == yu40001",fontsize=16,color="magenta"];462 -> 628[label="",style="dashed", color="magenta", weight=3]; 462 -> 629[label="",style="dashed", color="magenta", weight=3]; 463 -> 44[label="",style="dashed", color="red", weight=0]; 463[label="yu301 == yu40001",fontsize=16,color="magenta"];463 -> 630[label="",style="dashed", color="magenta", weight=3]; 463 -> 631[label="",style="dashed", color="magenta", weight=3]; 464 -> 45[label="",style="dashed", color="red", weight=0]; 464[label="yu301 == yu40001",fontsize=16,color="magenta"];464 -> 632[label="",style="dashed", color="magenta", weight=3]; 464 -> 633[label="",style="dashed", color="magenta", weight=3]; 465 -> 46[label="",style="dashed", color="red", weight=0]; 465[label="yu301 == yu40001",fontsize=16,color="magenta"];465 -> 634[label="",style="dashed", color="magenta", weight=3]; 465 -> 635[label="",style="dashed", color="magenta", weight=3]; 466 -> 47[label="",style="dashed", color="red", weight=0]; 466[label="yu301 == yu40001",fontsize=16,color="magenta"];466 -> 636[label="",style="dashed", color="magenta", weight=3]; 466 -> 637[label="",style="dashed", color="magenta", weight=3]; 467 -> 48[label="",style="dashed", color="red", weight=0]; 467[label="yu301 == yu40001",fontsize=16,color="magenta"];467 -> 638[label="",style="dashed", color="magenta", weight=3]; 467 -> 639[label="",style="dashed", color="magenta", weight=3]; 468 -> 49[label="",style="dashed", color="red", weight=0]; 468[label="yu301 == yu40001",fontsize=16,color="magenta"];468 -> 640[label="",style="dashed", color="magenta", weight=3]; 468 -> 641[label="",style="dashed", color="magenta", weight=3]; 469[label="primMulInt yu300 yu40001",fontsize=16,color="burlywood",shape="box"];1015[label="yu300/Pos yu3000",fontsize=10,color="white",style="solid",shape="box"];469 -> 1015[label="",style="solid", color="burlywood", weight=9]; 1015 -> 642[label="",style="solid", color="burlywood", weight=3]; 1016[label="yu300/Neg yu3000",fontsize=10,color="white",style="solid",shape="box"];469 -> 1016[label="",style="solid", color="burlywood", weight=9]; 1016 -> 643[label="",style="solid", color="burlywood", weight=3]; 470[label="yu40000",fontsize=16,color="green",shape="box"];471[label="yu301",fontsize=16,color="green",shape="box"];472[label="yu300",fontsize=16,color="green",shape="box"];473[label="yu40000",fontsize=16,color="green",shape="box"];474[label="yu300",fontsize=16,color="green",shape="box"];475[label="yu40000",fontsize=16,color="green",shape="box"];476[label="yu301",fontsize=16,color="green",shape="box"];477[label="yu40001",fontsize=16,color="green",shape="box"];478[label="yu301",fontsize=16,color="green",shape="box"];479[label="yu40001",fontsize=16,color="green",shape="box"];480[label="False",fontsize=16,color="green",shape="box"];481[label="yu39",fontsize=16,color="green",shape="box"];482[label="yu300",fontsize=16,color="green",shape="box"];483[label="yu40000",fontsize=16,color="green",shape="box"];484[label="yu300",fontsize=16,color="green",shape="box"];485[label="yu40000",fontsize=16,color="green",shape="box"];486[label="yu300",fontsize=16,color="green",shape="box"];487[label="yu40000",fontsize=16,color="green",shape="box"];488[label="yu300",fontsize=16,color="green",shape="box"];489[label="yu40000",fontsize=16,color="green",shape="box"];490[label="yu300",fontsize=16,color="green",shape="box"];491[label="yu40000",fontsize=16,color="green",shape="box"];492[label="yu300",fontsize=16,color="green",shape="box"];493[label="yu40000",fontsize=16,color="green",shape="box"];494[label="yu300",fontsize=16,color="green",shape="box"];495[label="yu40000",fontsize=16,color="green",shape="box"];496[label="yu300",fontsize=16,color="green",shape="box"];497[label="yu40000",fontsize=16,color="green",shape="box"];498[label="yu300",fontsize=16,color="green",shape="box"];499[label="yu40000",fontsize=16,color="green",shape="box"];500[label="yu300",fontsize=16,color="green",shape="box"];501[label="yu40000",fontsize=16,color="green",shape="box"];502[label="yu300",fontsize=16,color="green",shape="box"];503[label="yu40000",fontsize=16,color="green",shape="box"];504[label="yu300",fontsize=16,color="green",shape="box"];505[label="yu40000",fontsize=16,color="green",shape="box"];506[label="yu300",fontsize=16,color="green",shape="box"];507[label="yu40000",fontsize=16,color="green",shape="box"];508[label="yu300",fontsize=16,color="green",shape="box"];509[label="yu40000",fontsize=16,color="green",shape="box"];510 -> 36[label="",style="dashed", color="red", weight=0]; 510[label="yu301 == yu40001",fontsize=16,color="magenta"];510 -> 644[label="",style="dashed", color="magenta", weight=3]; 510 -> 645[label="",style="dashed", color="magenta", weight=3]; 511 -> 37[label="",style="dashed", color="red", weight=0]; 511[label="yu301 == yu40001",fontsize=16,color="magenta"];511 -> 646[label="",style="dashed", color="magenta", weight=3]; 511 -> 647[label="",style="dashed", color="magenta", weight=3]; 512 -> 38[label="",style="dashed", color="red", weight=0]; 512[label="yu301 == yu40001",fontsize=16,color="magenta"];512 -> 648[label="",style="dashed", color="magenta", weight=3]; 512 -> 649[label="",style="dashed", color="magenta", weight=3]; 513 -> 39[label="",style="dashed", color="red", weight=0]; 513[label="yu301 == yu40001",fontsize=16,color="magenta"];513 -> 650[label="",style="dashed", color="magenta", weight=3]; 513 -> 651[label="",style="dashed", color="magenta", weight=3]; 514 -> 40[label="",style="dashed", color="red", weight=0]; 514[label="yu301 == yu40001",fontsize=16,color="magenta"];514 -> 652[label="",style="dashed", color="magenta", weight=3]; 514 -> 653[label="",style="dashed", color="magenta", weight=3]; 515 -> 41[label="",style="dashed", color="red", weight=0]; 515[label="yu301 == yu40001",fontsize=16,color="magenta"];515 -> 654[label="",style="dashed", color="magenta", weight=3]; 515 -> 655[label="",style="dashed", color="magenta", weight=3]; 516 -> 42[label="",style="dashed", color="red", weight=0]; 516[label="yu301 == yu40001",fontsize=16,color="magenta"];516 -> 656[label="",style="dashed", color="magenta", weight=3]; 516 -> 657[label="",style="dashed", color="magenta", weight=3]; 517 -> 43[label="",style="dashed", color="red", weight=0]; 517[label="yu301 == yu40001",fontsize=16,color="magenta"];517 -> 658[label="",style="dashed", color="magenta", weight=3]; 517 -> 659[label="",style="dashed", color="magenta", weight=3]; 518 -> 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48[label="",style="dashed", color="red", weight=0]; 522[label="yu301 == yu40001",fontsize=16,color="magenta"];522 -> 668[label="",style="dashed", color="magenta", weight=3]; 522 -> 669[label="",style="dashed", color="magenta", weight=3]; 523 -> 49[label="",style="dashed", color="red", weight=0]; 523[label="yu301 == yu40001",fontsize=16,color="magenta"];523 -> 670[label="",style="dashed", color="magenta", weight=3]; 523 -> 671[label="",style="dashed", color="magenta", weight=3]; 524 -> 36[label="",style="dashed", color="red", weight=0]; 524[label="yu302 == yu40002",fontsize=16,color="magenta"];524 -> 672[label="",style="dashed", color="magenta", weight=3]; 524 -> 673[label="",style="dashed", color="magenta", weight=3]; 525 -> 37[label="",style="dashed", color="red", weight=0]; 525[label="yu302 == yu40002",fontsize=16,color="magenta"];525 -> 674[label="",style="dashed", color="magenta", weight=3]; 525 -> 675[label="",style="dashed", color="magenta", weight=3]; 526 -> 38[label="",style="dashed", color="red", weight=0]; 526[label="yu302 == yu40002",fontsize=16,color="magenta"];526 -> 676[label="",style="dashed", color="magenta", weight=3]; 526 -> 677[label="",style="dashed", color="magenta", weight=3]; 527 -> 39[label="",style="dashed", color="red", weight=0]; 527[label="yu302 == yu40002",fontsize=16,color="magenta"];527 -> 678[label="",style="dashed", color="magenta", weight=3]; 527 -> 679[label="",style="dashed", color="magenta", weight=3]; 528 -> 40[label="",style="dashed", color="red", weight=0]; 528[label="yu302 == yu40002",fontsize=16,color="magenta"];528 -> 680[label="",style="dashed", color="magenta", weight=3]; 528 -> 681[label="",style="dashed", color="magenta", weight=3]; 529 -> 41[label="",style="dashed", color="red", weight=0]; 529[label="yu302 == yu40002",fontsize=16,color="magenta"];529 -> 682[label="",style="dashed", color="magenta", weight=3]; 529 -> 683[label="",style="dashed", color="magenta", weight=3]; 530 -> 42[label="",style="dashed", color="red", weight=0]; 530[label="yu302 == yu40002",fontsize=16,color="magenta"];530 -> 684[label="",style="dashed", color="magenta", weight=3]; 530 -> 685[label="",style="dashed", color="magenta", weight=3]; 531 -> 43[label="",style="dashed", color="red", weight=0]; 531[label="yu302 == yu40002",fontsize=16,color="magenta"];531 -> 686[label="",style="dashed", color="magenta", weight=3]; 531 -> 687[label="",style="dashed", color="magenta", weight=3]; 532 -> 44[label="",style="dashed", color="red", weight=0]; 532[label="yu302 == yu40002",fontsize=16,color="magenta"];532 -> 688[label="",style="dashed", color="magenta", weight=3]; 532 -> 689[label="",style="dashed", color="magenta", weight=3]; 533 -> 45[label="",style="dashed", color="red", weight=0]; 533[label="yu302 == yu40002",fontsize=16,color="magenta"];533 -> 690[label="",style="dashed", color="magenta", weight=3]; 533 -> 691[label="",style="dashed", color="magenta", weight=3]; 534 -> 46[label="",style="dashed", color="red", weight=0]; 534[label="yu302 == yu40002",fontsize=16,color="magenta"];534 -> 692[label="",style="dashed", color="magenta", weight=3]; 534 -> 693[label="",style="dashed", color="magenta", weight=3]; 535 -> 47[label="",style="dashed", color="red", weight=0]; 535[label="yu302 == yu40002",fontsize=16,color="magenta"];535 -> 694[label="",style="dashed", color="magenta", weight=3]; 535 -> 695[label="",style="dashed", color="magenta", weight=3]; 536 -> 48[label="",style="dashed", color="red", weight=0]; 536[label="yu302 == yu40002",fontsize=16,color="magenta"];536 -> 696[label="",style="dashed", color="magenta", weight=3]; 536 -> 697[label="",style="dashed", color="magenta", weight=3]; 537 -> 49[label="",style="dashed", color="red", weight=0]; 537[label="yu302 == yu40002",fontsize=16,color="magenta"];537 -> 698[label="",style="dashed", color="magenta", weight=3]; 537 -> 699[label="",style="dashed", color="magenta", weight=3]; 538[label="yu40001",fontsize=16,color="green",shape="box"];539[label="yu300",fontsize=16,color="green",shape="box"];540[label="yu40000",fontsize=16,color="green",shape="box"];541[label="yu301",fontsize=16,color="green",shape="box"];542[label="yu300",fontsize=16,color="green",shape="box"];543[label="yu40000",fontsize=16,color="green",shape="box"];544[label="yu300",fontsize=16,color="green",shape="box"];545[label="yu40000",fontsize=16,color="green",shape="box"];546[label="yu300",fontsize=16,color="green",shape="box"];547[label="yu40000",fontsize=16,color="green",shape="box"];548[label="yu300",fontsize=16,color="green",shape="box"];549[label="yu40000",fontsize=16,color="green",shape="box"];550[label="yu300",fontsize=16,color="green",shape="box"];551[label="yu40000",fontsize=16,color="green",shape="box"];552[label="yu300",fontsize=16,color="green",shape="box"];553[label="yu40000",fontsize=16,color="green",shape="box"];554[label="yu300",fontsize=16,color="green",shape="box"];555[label="yu40000",fontsize=16,color="green",shape="box"];556[label="yu300",fontsize=16,color="green",shape="box"];557[label="yu40000",fontsize=16,color="green",shape="box"];558[label="yu300",fontsize=16,color="green",shape="box"];559[label="yu40000",fontsize=16,color="green",shape="box"];560[label="yu300",fontsize=16,color="green",shape="box"];561[label="yu40000",fontsize=16,color="green",shape="box"];562[label="yu300",fontsize=16,color="green",shape="box"];563[label="yu40000",fontsize=16,color="green",shape="box"];564[label="yu300",fontsize=16,color="green",shape="box"];565[label="yu40000",fontsize=16,color="green",shape="box"];566[label="yu300",fontsize=16,color="green",shape="box"];567[label="yu40000",fontsize=16,color="green",shape="box"];568[label="yu300",fontsize=16,color="green",shape="box"];569[label="yu40000",fontsize=16,color="green",shape="box"];570[label="primEqNat (Succ yu3000) (Succ yu400000)",fontsize=16,color="black",shape="box"];570 -> 700[label="",style="solid", color="black", weight=3]; 571[label="primEqNat (Succ yu3000) Zero",fontsize=16,color="black",shape="box"];571 -> 701[label="",style="solid", color="black", weight=3]; 572[label="primEqNat Zero (Succ yu400000)",fontsize=16,color="black",shape="box"];572 -> 702[label="",style="solid", color="black", weight=3]; 573[label="primEqNat Zero Zero",fontsize=16,color="black",shape="box"];573 -> 703[label="",style="solid", color="black", weight=3]; 574 -> 271[label="",style="dashed", color="red", weight=0]; 574[label="primEqNat yu3000 yu400000",fontsize=16,color="magenta"];574 -> 704[label="",style="dashed", color="magenta", weight=3]; 574 -> 705[label="",style="dashed", color="magenta", weight=3]; 575[label="False",fontsize=16,color="green",shape="box"];576[label="False",fontsize=16,color="green",shape="box"];577[label="True",fontsize=16,color="green",shape="box"];578[label="False",fontsize=16,color="green",shape="box"];579[label="True",fontsize=16,color="green",shape="box"];580 -> 271[label="",style="dashed", color="red", weight=0]; 580[label="primEqNat yu3000 yu400000",fontsize=16,color="magenta"];580 -> 706[label="",style="dashed", color="magenta", weight=3]; 580 -> 707[label="",style="dashed", color="magenta", weight=3]; 581[label="False",fontsize=16,color="green",shape="box"];582[label="False",fontsize=16,color="green",shape="box"];583[label="True",fontsize=16,color="green",shape="box"];584[label="False",fontsize=16,color="green",shape="box"];585[label="True",fontsize=16,color="green",shape="box"];586[label="yu300",fontsize=16,color="green",shape="box"];587[label="yu40000",fontsize=16,color="green",shape="box"];588[label="yu300",fontsize=16,color="green",shape="box"];589[label="yu40000",fontsize=16,color="green",shape="box"];590[label="yu300",fontsize=16,color="green",shape="box"];591[label="yu40000",fontsize=16,color="green",shape="box"];592[label="yu300",fontsize=16,color="green",shape="box"];593[label="yu40000",fontsize=16,color="green",shape="box"];594[label="yu300",fontsize=16,color="green",shape="box"];595[label="yu40000",fontsize=16,color="green",shape="box"];596[label="yu300",fontsize=16,color="green",shape="box"];597[label="yu40000",fontsize=16,color="green",shape="box"];598[label="yu300",fontsize=16,color="green",shape="box"];599[label="yu40000",fontsize=16,color="green",shape="box"];600[label="yu300",fontsize=16,color="green",shape="box"];601[label="yu40000",fontsize=16,color="green",shape="box"];602[label="yu300",fontsize=16,color="green",shape="box"];603[label="yu40000",fontsize=16,color="green",shape="box"];604[label="yu300",fontsize=16,color="green",shape="box"];605[label="yu40000",fontsize=16,color="green",shape="box"];606[label="yu300",fontsize=16,color="green",shape="box"];607[label="yu40000",fontsize=16,color="green",shape="box"];608[label="yu300",fontsize=16,color="green",shape="box"];609[label="yu40000",fontsize=16,color="green",shape="box"];610[label="yu300",fontsize=16,color="green",shape="box"];611[label="yu40000",fontsize=16,color="green",shape="box"];612[label="yu300",fontsize=16,color="green",shape="box"];613[label="yu40000",fontsize=16,color="green",shape="box"];614[label="yu301",fontsize=16,color="green",shape="box"];615[label="yu40001",fontsize=16,color="green",shape="box"];616[label="yu301",fontsize=16,color="green",shape="box"];617[label="yu40001",fontsize=16,color="green",shape="box"];618[label="yu301",fontsize=16,color="green",shape="box"];619[label="yu40001",fontsize=16,color="green",shape="box"];620[label="yu301",fontsize=16,color="green",shape="box"];621[label="yu40001",fontsize=16,color="green",shape="box"];622[label="yu301",fontsize=16,color="green",shape="box"];623[label="yu40001",fontsize=16,color="green",shape="box"];624[label="yu301",fontsize=16,color="green",shape="box"];625[label="yu40001",fontsize=16,color="green",shape="box"];626[label="yu301",fontsize=16,color="green",shape="box"];627[label="yu40001",fontsize=16,color="green",shape="box"];628[label="yu301",fontsize=16,color="green",shape="box"];629[label="yu40001",fontsize=16,color="green",shape="box"];630[label="yu301",fontsize=16,color="green",shape="box"];631[label="yu40001",fontsize=16,color="green",shape="box"];632[label="yu301",fontsize=16,color="green",shape="box"];633[label="yu40001",fontsize=16,color="green",shape="box"];634[label="yu301",fontsize=16,color="green",shape="box"];635[label="yu40001",fontsize=16,color="green",shape="box"];636[label="yu301",fontsize=16,color="green",shape="box"];637[label="yu40001",fontsize=16,color="green",shape="box"];638[label="yu301",fontsize=16,color="green",shape="box"];639[label="yu40001",fontsize=16,color="green",shape="box"];640[label="yu301",fontsize=16,color="green",shape="box"];641[label="yu40001",fontsize=16,color="green",shape="box"];642[label="primMulInt (Pos yu3000) yu40001",fontsize=16,color="burlywood",shape="box"];1017[label="yu40001/Pos yu400010",fontsize=10,color="white",style="solid",shape="box"];642 -> 1017[label="",style="solid", color="burlywood", weight=9]; 1017 -> 708[label="",style="solid", color="burlywood", weight=3]; 1018[label="yu40001/Neg yu400010",fontsize=10,color="white",style="solid",shape="box"];642 -> 1018[label="",style="solid", color="burlywood", weight=9]; 1018 -> 709[label="",style="solid", color="burlywood", weight=3]; 643[label="primMulInt (Neg yu3000) yu40001",fontsize=16,color="burlywood",shape="box"];1019[label="yu40001/Pos yu400010",fontsize=10,color="white",style="solid",shape="box"];643 -> 1019[label="",style="solid", color="burlywood", weight=9]; 1019 -> 710[label="",style="solid", color="burlywood", weight=3]; 1020[label="yu40001/Neg yu400010",fontsize=10,color="white",style="solid",shape="box"];643 -> 1020[label="",style="solid", color="burlywood", weight=9]; 1020 -> 711[label="",style="solid", color="burlywood", weight=3]; 644[label="yu301",fontsize=16,color="green",shape="box"];645[label="yu40001",fontsize=16,color="green",shape="box"];646[label="yu301",fontsize=16,color="green",shape="box"];647[label="yu40001",fontsize=16,color="green",shape="box"];648[label="yu301",fontsize=16,color="green",shape="box"];649[label="yu40001",fontsize=16,color="green",shape="box"];650[label="yu301",fontsize=16,color="green",shape="box"];651[label="yu40001",fontsize=16,color="green",shape="box"];652[label="yu301",fontsize=16,color="green",shape="box"];653[label="yu40001",fontsize=16,color="green",shape="box"];654[label="yu301",fontsize=16,color="green",shape="box"];655[label="yu40001",fontsize=16,color="green",shape="box"];656[label="yu301",fontsize=16,color="green",shape="box"];657[label="yu40001",fontsize=16,color="green",shape="box"];658[label="yu301",fontsize=16,color="green",shape="box"];659[label="yu40001",fontsize=16,color="green",shape="box"];660[label="yu301",fontsize=16,color="green",shape="box"];661[label="yu40001",fontsize=16,color="green",shape="box"];662[label="yu301",fontsize=16,color="green",shape="box"];663[label="yu40001",fontsize=16,color="green",shape="box"];664[label="yu301",fontsize=16,color="green",shape="box"];665[label="yu40001",fontsize=16,color="green",shape="box"];666[label="yu301",fontsize=16,color="green",shape="box"];667[label="yu40001",fontsize=16,color="green",shape="box"];668[label="yu301",fontsize=16,color="green",shape="box"];669[label="yu40001",fontsize=16,color="green",shape="box"];670[label="yu301",fontsize=16,color="green",shape="box"];671[label="yu40001",fontsize=16,color="green",shape="box"];672[label="yu302",fontsize=16,color="green",shape="box"];673[label="yu40002",fontsize=16,color="green",shape="box"];674[label="yu302",fontsize=16,color="green",shape="box"];675[label="yu40002",fontsize=16,color="green",shape="box"];676[label="yu302",fontsize=16,color="green",shape="box"];677[label="yu40002",fontsize=16,color="green",shape="box"];678[label="yu302",fontsize=16,color="green",shape="box"];679[label="yu40002",fontsize=16,color="green",shape="box"];680[label="yu302",fontsize=16,color="green",shape="box"];681[label="yu40002",fontsize=16,color="green",shape="box"];682[label="yu302",fontsize=16,color="green",shape="box"];683[label="yu40002",fontsize=16,color="green",shape="box"];684[label="yu302",fontsize=16,color="green",shape="box"];685[label="yu40002",fontsize=16,color="green",shape="box"];686[label="yu302",fontsize=16,color="green",shape="box"];687[label="yu40002",fontsize=16,color="green",shape="box"];688[label="yu302",fontsize=16,color="green",shape="box"];689[label="yu40002",fontsize=16,color="green",shape="box"];690[label="yu302",fontsize=16,color="green",shape="box"];691[label="yu40002",fontsize=16,color="green",shape="box"];692[label="yu302",fontsize=16,color="green",shape="box"];693[label="yu40002",fontsize=16,color="green",shape="box"];694[label="yu302",fontsize=16,color="green",shape="box"];695[label="yu40002",fontsize=16,color="green",shape="box"];696[label="yu302",fontsize=16,color="green",shape="box"];697[label="yu40002",fontsize=16,color="green",shape="box"];698[label="yu302",fontsize=16,color="green",shape="box"];699[label="yu40002",fontsize=16,color="green",shape="box"];700 -> 271[label="",style="dashed", color="red", weight=0]; 700[label="primEqNat yu3000 yu400000",fontsize=16,color="magenta"];700 -> 712[label="",style="dashed", color="magenta", weight=3]; 700 -> 713[label="",style="dashed", color="magenta", weight=3]; 701[label="False",fontsize=16,color="green",shape="box"];702[label="False",fontsize=16,color="green",shape="box"];703[label="True",fontsize=16,color="green",shape="box"];704[label="yu3000",fontsize=16,color="green",shape="box"];705[label="yu400000",fontsize=16,color="green",shape="box"];706[label="yu3000",fontsize=16,color="green",shape="box"];707[label="yu400000",fontsize=16,color="green",shape="box"];708[label="primMulInt (Pos yu3000) (Pos yu400010)",fontsize=16,color="black",shape="box"];708 -> 714[label="",style="solid", color="black", weight=3]; 709[label="primMulInt (Pos yu3000) (Neg yu400010)",fontsize=16,color="black",shape="box"];709 -> 715[label="",style="solid", color="black", weight=3]; 710[label="primMulInt (Neg yu3000) (Pos yu400010)",fontsize=16,color="black",shape="box"];710 -> 716[label="",style="solid", color="black", weight=3]; 711[label="primMulInt (Neg yu3000) (Neg yu400010)",fontsize=16,color="black",shape="box"];711 -> 717[label="",style="solid", color="black", weight=3]; 712[label="yu3000",fontsize=16,color="green",shape="box"];713[label="yu400000",fontsize=16,color="green",shape="box"];714[label="Pos (primMulNat yu3000 yu400010)",fontsize=16,color="green",shape="box"];714 -> 718[label="",style="dashed", color="green", weight=3]; 715[label="Neg (primMulNat yu3000 yu400010)",fontsize=16,color="green",shape="box"];715 -> 719[label="",style="dashed", color="green", weight=3]; 716[label="Neg (primMulNat yu3000 yu400010)",fontsize=16,color="green",shape="box"];716 -> 720[label="",style="dashed", color="green", weight=3]; 717[label="Pos (primMulNat yu3000 yu400010)",fontsize=16,color="green",shape="box"];717 -> 721[label="",style="dashed", color="green", weight=3]; 718[label="primMulNat yu3000 yu400010",fontsize=16,color="burlywood",shape="triangle"];1021[label="yu3000/Succ yu30000",fontsize=10,color="white",style="solid",shape="box"];718 -> 1021[label="",style="solid", color="burlywood", weight=9]; 1021 -> 722[label="",style="solid", color="burlywood", weight=3]; 1022[label="yu3000/Zero",fontsize=10,color="white",style="solid",shape="box"];718 -> 1022[label="",style="solid", color="burlywood", weight=9]; 1022 -> 723[label="",style="solid", color="burlywood", weight=3]; 719 -> 718[label="",style="dashed", color="red", weight=0]; 719[label="primMulNat yu3000 yu400010",fontsize=16,color="magenta"];719 -> 724[label="",style="dashed", color="magenta", weight=3]; 720 -> 718[label="",style="dashed", color="red", weight=0]; 720[label="primMulNat yu3000 yu400010",fontsize=16,color="magenta"];720 -> 725[label="",style="dashed", color="magenta", weight=3]; 721 -> 718[label="",style="dashed", color="red", weight=0]; 721[label="primMulNat yu3000 yu400010",fontsize=16,color="magenta"];721 -> 726[label="",style="dashed", color="magenta", weight=3]; 721 -> 727[label="",style="dashed", color="magenta", weight=3]; 722[label="primMulNat (Succ yu30000) yu400010",fontsize=16,color="burlywood",shape="box"];1023[label="yu400010/Succ yu4000100",fontsize=10,color="white",style="solid",shape="box"];722 -> 1023[label="",style="solid", color="burlywood", weight=9]; 1023 -> 728[label="",style="solid", color="burlywood", weight=3]; 1024[label="yu400010/Zero",fontsize=10,color="white",style="solid",shape="box"];722 -> 1024[label="",style="solid", color="burlywood", weight=9]; 1024 -> 729[label="",style="solid", color="burlywood", weight=3]; 723[label="primMulNat Zero yu400010",fontsize=16,color="burlywood",shape="box"];1025[label="yu400010/Succ yu4000100",fontsize=10,color="white",style="solid",shape="box"];723 -> 1025[label="",style="solid", color="burlywood", weight=9]; 1025 -> 730[label="",style="solid", color="burlywood", weight=3]; 1026[label="yu400010/Zero",fontsize=10,color="white",style="solid",shape="box"];723 -> 1026[label="",style="solid", color="burlywood", weight=9]; 1026 -> 731[label="",style="solid", color="burlywood", weight=3]; 724[label="yu400010",fontsize=16,color="green",shape="box"];725[label="yu3000",fontsize=16,color="green",shape="box"];726[label="yu3000",fontsize=16,color="green",shape="box"];727[label="yu400010",fontsize=16,color="green",shape="box"];728[label="primMulNat (Succ yu30000) (Succ yu4000100)",fontsize=16,color="black",shape="box"];728 -> 732[label="",style="solid", color="black", weight=3]; 729[label="primMulNat (Succ yu30000) Zero",fontsize=16,color="black",shape="box"];729 -> 733[label="",style="solid", color="black", weight=3]; 730[label="primMulNat Zero (Succ yu4000100)",fontsize=16,color="black",shape="box"];730 -> 734[label="",style="solid", color="black", weight=3]; 731[label="primMulNat Zero Zero",fontsize=16,color="black",shape="box"];731 -> 735[label="",style="solid", color="black", weight=3]; 732 -> 736[label="",style="dashed", color="red", weight=0]; 732[label="primPlusNat (primMulNat yu30000 (Succ yu4000100)) (Succ yu4000100)",fontsize=16,color="magenta"];732 -> 737[label="",style="dashed", color="magenta", weight=3]; 733[label="Zero",fontsize=16,color="green",shape="box"];734[label="Zero",fontsize=16,color="green",shape="box"];735[label="Zero",fontsize=16,color="green",shape="box"];737 -> 718[label="",style="dashed", color="red", weight=0]; 737[label="primMulNat yu30000 (Succ yu4000100)",fontsize=16,color="magenta"];737 -> 738[label="",style="dashed", color="magenta", weight=3]; 737 -> 739[label="",style="dashed", color="magenta", weight=3]; 736[label="primPlusNat yu40 (Succ yu4000100)",fontsize=16,color="burlywood",shape="triangle"];1027[label="yu40/Succ yu400",fontsize=10,color="white",style="solid",shape="box"];736 -> 1027[label="",style="solid", color="burlywood", weight=9]; 1027 -> 740[label="",style="solid", color="burlywood", weight=3]; 1028[label="yu40/Zero",fontsize=10,color="white",style="solid",shape="box"];736 -> 1028[label="",style="solid", color="burlywood", weight=9]; 1028 -> 741[label="",style="solid", color="burlywood", weight=3]; 738[label="yu30000",fontsize=16,color="green",shape="box"];739[label="Succ yu4000100",fontsize=16,color="green",shape="box"];740[label="primPlusNat (Succ yu400) (Succ yu4000100)",fontsize=16,color="black",shape="box"];740 -> 742[label="",style="solid", color="black", weight=3]; 741[label="primPlusNat Zero (Succ yu4000100)",fontsize=16,color="black",shape="box"];741 -> 743[label="",style="solid", color="black", weight=3]; 742[label="Succ (Succ (primPlusNat yu400 yu4000100))",fontsize=16,color="green",shape="box"];742 -> 744[label="",style="dashed", color="green", weight=3]; 743[label="Succ yu4000100",fontsize=16,color="green",shape="box"];744[label="primPlusNat yu400 yu4000100",fontsize=16,color="burlywood",shape="triangle"];1029[label="yu400/Succ yu4000",fontsize=10,color="white",style="solid",shape="box"];744 -> 1029[label="",style="solid", color="burlywood", weight=9]; 1029 -> 745[label="",style="solid", color="burlywood", weight=3]; 1030[label="yu400/Zero",fontsize=10,color="white",style="solid",shape="box"];744 -> 1030[label="",style="solid", color="burlywood", weight=9]; 1030 -> 746[label="",style="solid", color="burlywood", weight=3]; 745[label="primPlusNat (Succ yu4000) yu4000100",fontsize=16,color="burlywood",shape="box"];1031[label="yu4000100/Succ yu40001000",fontsize=10,color="white",style="solid",shape="box"];745 -> 1031[label="",style="solid", color="burlywood", weight=9]; 1031 -> 747[label="",style="solid", color="burlywood", weight=3]; 1032[label="yu4000100/Zero",fontsize=10,color="white",style="solid",shape="box"];745 -> 1032[label="",style="solid", color="burlywood", weight=9]; 1032 -> 748[label="",style="solid", color="burlywood", weight=3]; 746[label="primPlusNat Zero yu4000100",fontsize=16,color="burlywood",shape="box"];1033[label="yu4000100/Succ yu40001000",fontsize=10,color="white",style="solid",shape="box"];746 -> 1033[label="",style="solid", color="burlywood", weight=9]; 1033 -> 749[label="",style="solid", color="burlywood", weight=3]; 1034[label="yu4000100/Zero",fontsize=10,color="white",style="solid",shape="box"];746 -> 1034[label="",style="solid", color="burlywood", weight=9]; 1034 -> 750[label="",style="solid", color="burlywood", weight=3]; 747[label="primPlusNat (Succ yu4000) (Succ yu40001000)",fontsize=16,color="black",shape="box"];747 -> 751[label="",style="solid", color="black", weight=3]; 748[label="primPlusNat (Succ yu4000) Zero",fontsize=16,color="black",shape="box"];748 -> 752[label="",style="solid", color="black", weight=3]; 749[label="primPlusNat Zero (Succ yu40001000)",fontsize=16,color="black",shape="box"];749 -> 753[label="",style="solid", color="black", weight=3]; 750[label="primPlusNat Zero Zero",fontsize=16,color="black",shape="box"];750 -> 754[label="",style="solid", color="black", weight=3]; 751[label="Succ (Succ (primPlusNat yu4000 yu40001000))",fontsize=16,color="green",shape="box"];751 -> 755[label="",style="dashed", color="green", weight=3]; 752[label="Succ yu4000",fontsize=16,color="green",shape="box"];753[label="Succ yu40001000",fontsize=16,color="green",shape="box"];754[label="Zero",fontsize=16,color="green",shape="box"];755 -> 744[label="",style="dashed", color="red", weight=0]; 755[label="primPlusNat yu4000 yu40001000",fontsize=16,color="magenta"];755 -> 756[label="",style="dashed", color="magenta", weight=3]; 755 -> 757[label="",style="dashed", color="magenta", weight=3]; 756[label="yu40001000",fontsize=16,color="green",shape="box"];757[label="yu4000",fontsize=16,color="green",shape="box"];} ---------------------------------------- (6) Complex Obligation (AND) ---------------------------------------- (7) Obligation: Q DP problem: The TRS P consists of the following rules: new_esEs2(Just(yu300), Just(yu40000), app(ty_[], bbc)) -> new_esEs1(yu300, yu40000, bbc) new_esEs1(:(yu300, yu301), :(yu40000, yu40001), app(ty_Maybe, bab)) -> new_esEs2(yu300, yu40000, bab) new_esEs1(:(yu300, yu301), :(yu40000, yu40001), app(app(ty_Either, hg), hh)) -> new_esEs0(yu300, yu40000, hg, hh) new_esEs(@3(yu300, yu301, yu302), @3(yu40000, yu40001, yu40002), cc, bc, app(ty_[], ec)) -> new_esEs1(yu302, yu40002, ec) new_esEs3(@2(yu300, yu301), @2(yu40000, yu40001), app(app(ty_Either, bcc), bcd), bcb) -> new_esEs0(yu300, yu40000, bcc, bcd) new_esEs3(@2(yu300, yu301), @2(yu40000, yu40001), bda, app(app(ty_Either, bde), bdf)) -> new_esEs0(yu301, yu40001, bde, bdf) new_esEs(@3(yu300, yu301, yu302), @3(yu40000, yu40001, yu40002), cc, bc, app(app(ty_@2, ee), ef)) -> new_esEs3(yu302, yu40002, ee, ef) new_esEs(@3(yu300, yu301, yu302), @3(yu40000, yu40001, yu40002), app(app(ty_@2, ca), cb), bc, bd) -> new_esEs3(yu300, yu40000, ca, cb) new_esEs(@3(yu300, yu301, yu302), @3(yu40000, yu40001, yu40002), cc, bc, app(app(app(ty_@3, df), dg), dh)) -> new_esEs(yu302, yu40002, df, dg, dh) new_esEs0(Left(yu300), Left(yu40000), app(ty_Maybe, fg), fb) -> new_esEs2(yu300, yu40000, fg) new_esEs(@3(yu300, yu301, yu302), @3(yu40000, yu40001, yu40002), app(ty_[], bg), bc, bd) -> new_esEs1(yu300, yu40000, bg) new_esEs0(Right(yu300), Right(yu40000), gb, app(app(ty_Either, gf), gg)) -> new_esEs0(yu300, yu40000, gf, gg) new_esEs(@3(yu300, yu301, yu302), @3(yu40000, yu40001, yu40002), app(ty_Maybe, bh), bc, bd) -> new_esEs2(yu300, yu40000, bh) new_esEs(@3(yu300, yu301, yu302), @3(yu40000, yu40001, yu40002), cc, app(ty_[], db), bd) -> new_esEs1(yu301, yu40001, db) new_esEs1(:(yu300, yu301), :(yu40000, yu40001), app(app(app(ty_@3, hd), he), hf)) -> new_esEs(yu300, yu40000, hd, he, hf) new_esEs3(@2(yu300, yu301), @2(yu40000, yu40001), bda, app(ty_Maybe, bdh)) -> new_esEs2(yu301, yu40001, bdh) new_esEs2(Just(yu300), Just(yu40000), app(ty_Maybe, bbd)) -> new_esEs2(yu300, yu40000, bbd) new_esEs3(@2(yu300, yu301), @2(yu40000, yu40001), app(ty_Maybe, bcf), bcb) -> new_esEs2(yu300, yu40000, bcf) new_esEs3(@2(yu300, yu301), @2(yu40000, yu40001), bda, app(app(app(ty_@3, bdb), bdc), bdd)) -> new_esEs(yu301, yu40001, bdb, bdc, bdd) new_esEs3(@2(yu300, yu301), @2(yu40000, yu40001), bda, app(app(ty_@2, bea), beb)) -> new_esEs3(yu301, yu40001, bea, beb) new_esEs(@3(yu300, yu301, yu302), @3(yu40000, yu40001, yu40002), cc, app(app(app(ty_@3, cd), ce), cf), bd) -> new_esEs(yu301, yu40001, cd, ce, cf) new_esEs0(Left(yu300), Left(yu40000), app(app(ty_@2, fh), ga), fb) -> new_esEs3(yu300, yu40000, fh, ga) new_esEs0(Right(yu300), Right(yu40000), gb, app(ty_Maybe, ha)) -> new_esEs2(yu300, yu40000, ha) new_esEs0(Right(yu300), Right(yu40000), gb, app(app(ty_@2, hb), hc)) -> new_esEs3(yu300, yu40000, hb, hc) new_esEs3(@2(yu300, yu301), @2(yu40000, yu40001), bda, app(ty_[], bdg)) -> new_esEs1(yu301, yu40001, bdg) new_esEs(@3(yu300, yu301, yu302), @3(yu40000, yu40001, yu40002), app(app(ty_Either, be), bf), bc, bd) -> new_esEs0(yu300, yu40000, be, bf) new_esEs0(Left(yu300), Left(yu40000), app(app(ty_Either, fc), fd), fb) -> new_esEs0(yu300, yu40000, fc, fd) new_esEs(@3(yu300, yu301, yu302), @3(yu40000, yu40001, yu40002), cc, app(app(ty_Either, cg), da), bd) -> new_esEs0(yu301, yu40001, cg, da) new_esEs2(Just(yu300), Just(yu40000), app(app(ty_Either, bba), bbb)) -> new_esEs0(yu300, yu40000, bba, bbb) new_esEs0(Right(yu300), Right(yu40000), gb, app(app(app(ty_@3, gc), gd), ge)) -> new_esEs(yu300, yu40000, gc, gd, ge) new_esEs3(@2(yu300, yu301), @2(yu40000, yu40001), app(app(app(ty_@3, bbg), bbh), bca), bcb) -> new_esEs(yu300, yu40000, bbg, bbh, bca) new_esEs3(@2(yu300, yu301), @2(yu40000, yu40001), app(app(ty_@2, bcg), bch), bcb) -> new_esEs3(yu300, yu40000, bcg, bch) new_esEs1(:(yu300, yu301), :(yu40000, yu40001), bae) -> new_esEs1(yu301, yu40001, bae) new_esEs(@3(yu300, yu301, yu302), @3(yu40000, yu40001, yu40002), app(app(app(ty_@3, h), ba), bb), bc, bd) -> new_esEs(yu300, yu40000, h, ba, bb) new_esEs0(Left(yu300), Left(yu40000), app(ty_[], ff), fb) -> new_esEs1(yu300, yu40000, ff) new_esEs1(:(yu300, yu301), :(yu40000, yu40001), app(ty_[], baa)) -> new_esEs1(yu300, yu40000, baa) new_esEs(@3(yu300, yu301, yu302), @3(yu40000, yu40001, yu40002), cc, app(ty_Maybe, dc), bd) -> new_esEs2(yu301, yu40001, dc) new_esEs1(:(yu300, yu301), :(yu40000, yu40001), app(app(ty_@2, bac), bad)) -> new_esEs3(yu300, yu40000, bac, bad) new_esEs0(Right(yu300), Right(yu40000), gb, app(ty_[], gh)) -> new_esEs1(yu300, yu40000, gh) new_esEs2(Just(yu300), Just(yu40000), app(app(ty_@2, bbe), bbf)) -> new_esEs3(yu300, yu40000, bbe, bbf) new_esEs(@3(yu300, yu301, yu302), @3(yu40000, yu40001, yu40002), cc, bc, app(ty_Maybe, ed)) -> new_esEs2(yu302, yu40002, ed) new_esEs(@3(yu300, yu301, yu302), @3(yu40000, yu40001, yu40002), cc, bc, app(app(ty_Either, ea), eb)) -> new_esEs0(yu302, yu40002, ea, eb) new_esEs(@3(yu300, yu301, yu302), @3(yu40000, yu40001, yu40002), cc, app(app(ty_@2, dd), de), bd) -> new_esEs3(yu301, yu40001, dd, de) new_esEs0(Left(yu300), Left(yu40000), app(app(app(ty_@3, eg), eh), fa), fb) -> new_esEs(yu300, yu40000, eg, eh, fa) new_esEs3(@2(yu300, yu301), @2(yu40000, yu40001), app(ty_[], bce), bcb) -> new_esEs1(yu300, yu40000, bce) new_esEs2(Just(yu300), Just(yu40000), app(app(app(ty_@3, baf), bag), bah)) -> new_esEs(yu300, yu40000, baf, bag, bah) R is empty. Q is empty. We have to consider all minimal (P,Q,R)-chains. ---------------------------------------- (8) QDPSizeChangeProof (EQUIVALENT) By using the subterm criterion [SUBTERM_CRITERION] together with the size-change analysis [AAECC05] we have proven that there are no infinite chains for this DP problem. From the DPs we obtained the following set of size-change graphs: *new_esEs1(:(yu300, yu301), :(yu40000, yu40001), app(ty_Maybe, bab)) -> new_esEs2(yu300, yu40000, bab) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs2(Just(yu300), Just(yu40000), app(ty_Maybe, bbd)) -> new_esEs2(yu300, yu40000, bbd) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs2(Just(yu300), Just(yu40000), app(ty_[], bbc)) -> new_esEs1(yu300, yu40000, bbc) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs1(:(yu300, yu301), :(yu40000, yu40001), app(app(app(ty_@3, hd), he), hf)) -> new_esEs(yu300, yu40000, hd, he, hf) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 *new_esEs2(Just(yu300), Just(yu40000), app(app(app(ty_@3, baf), bag), bah)) -> new_esEs(yu300, yu40000, baf, bag, bah) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 *new_esEs1(:(yu300, yu301), :(yu40000, yu40001), app(app(ty_@2, bac), bad)) -> new_esEs3(yu300, yu40000, bac, bad) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs1(:(yu300, yu301), :(yu40000, yu40001), app(app(ty_Either, hg), hh)) -> new_esEs0(yu300, yu40000, hg, hh) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs2(Just(yu300), Just(yu40000), app(app(ty_@2, bbe), bbf)) -> new_esEs3(yu300, yu40000, bbe, bbf) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs2(Just(yu300), Just(yu40000), app(app(ty_Either, bba), bbb)) -> new_esEs0(yu300, yu40000, bba, bbb) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs1(:(yu300, yu301), :(yu40000, yu40001), bae) -> new_esEs1(yu301, yu40001, bae) The graph contains the following edges 1 > 1, 2 > 2, 3 >= 3 *new_esEs1(:(yu300, yu301), :(yu40000, yu40001), app(ty_[], baa)) -> new_esEs1(yu300, yu40000, baa) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs0(Left(yu300), Left(yu40000), app(ty_Maybe, fg), fb) -> new_esEs2(yu300, yu40000, fg) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs0(Right(yu300), Right(yu40000), gb, app(ty_Maybe, ha)) -> new_esEs2(yu300, yu40000, ha) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 *new_esEs3(@2(yu300, yu301), @2(yu40000, yu40001), bda, app(ty_Maybe, bdh)) -> new_esEs2(yu301, yu40001, bdh) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 *new_esEs3(@2(yu300, yu301), @2(yu40000, yu40001), app(ty_Maybe, bcf), bcb) -> new_esEs2(yu300, yu40000, bcf) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs(@3(yu300, yu301, yu302), @3(yu40000, yu40001, yu40002), app(ty_Maybe, bh), bc, bd) -> new_esEs2(yu300, yu40000, bh) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs(@3(yu300, yu301, yu302), @3(yu40000, yu40001, yu40002), cc, app(ty_Maybe, dc), bd) -> new_esEs2(yu301, yu40001, dc) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 *new_esEs(@3(yu300, yu301, yu302), @3(yu40000, yu40001, yu40002), cc, bc, app(ty_Maybe, ed)) -> new_esEs2(yu302, yu40002, ed) The graph contains the following edges 1 > 1, 2 > 2, 5 > 3 *new_esEs0(Left(yu300), Left(yu40000), app(ty_[], ff), fb) -> new_esEs1(yu300, yu40000, ff) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs0(Right(yu300), Right(yu40000), gb, app(ty_[], gh)) -> new_esEs1(yu300, yu40000, gh) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 *new_esEs3(@2(yu300, yu301), @2(yu40000, yu40001), bda, app(ty_[], bdg)) -> new_esEs1(yu301, yu40001, bdg) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 *new_esEs3(@2(yu300, yu301), @2(yu40000, yu40001), app(ty_[], bce), bcb) -> new_esEs1(yu300, yu40000, bce) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs(@3(yu300, yu301, yu302), @3(yu40000, yu40001, yu40002), cc, bc, app(ty_[], ec)) -> new_esEs1(yu302, yu40002, ec) The graph contains the following edges 1 > 1, 2 > 2, 5 > 3 *new_esEs(@3(yu300, yu301, yu302), @3(yu40000, yu40001, yu40002), app(ty_[], bg), bc, bd) -> new_esEs1(yu300, yu40000, bg) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs(@3(yu300, yu301, yu302), @3(yu40000, yu40001, yu40002), cc, app(ty_[], db), bd) -> new_esEs1(yu301, yu40001, db) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 *new_esEs0(Right(yu300), Right(yu40000), gb, app(app(app(ty_@3, gc), gd), ge)) -> new_esEs(yu300, yu40000, gc, gd, ge) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4, 4 > 5 *new_esEs0(Left(yu300), Left(yu40000), app(app(app(ty_@3, eg), eh), fa), fb) -> new_esEs(yu300, yu40000, eg, eh, fa) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 *new_esEs0(Left(yu300), Left(yu40000), app(app(ty_@2, fh), ga), fb) -> new_esEs3(yu300, yu40000, fh, ga) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs0(Right(yu300), Right(yu40000), gb, app(app(ty_@2, hb), hc)) -> new_esEs3(yu300, yu40000, hb, hc) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 *new_esEs0(Right(yu300), Right(yu40000), gb, app(app(ty_Either, gf), gg)) -> new_esEs0(yu300, yu40000, gf, gg) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 *new_esEs0(Left(yu300), Left(yu40000), app(app(ty_Either, fc), fd), fb) -> new_esEs0(yu300, yu40000, fc, fd) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs3(@2(yu300, yu301), @2(yu40000, yu40001), bda, app(app(app(ty_@3, bdb), bdc), bdd)) -> new_esEs(yu301, yu40001, bdb, bdc, bdd) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4, 4 > 5 *new_esEs3(@2(yu300, yu301), @2(yu40000, yu40001), app(app(app(ty_@3, bbg), bbh), bca), bcb) -> new_esEs(yu300, yu40000, bbg, bbh, bca) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 *new_esEs(@3(yu300, yu301, yu302), @3(yu40000, yu40001, yu40002), cc, bc, app(app(app(ty_@3, df), dg), dh)) -> new_esEs(yu302, yu40002, df, dg, dh) The graph contains the following edges 1 > 1, 2 > 2, 5 > 3, 5 > 4, 5 > 5 *new_esEs(@3(yu300, yu301, yu302), @3(yu40000, yu40001, yu40002), cc, app(app(app(ty_@3, cd), ce), cf), bd) -> new_esEs(yu301, yu40001, cd, ce, cf) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4, 4 > 5 *new_esEs(@3(yu300, yu301, yu302), @3(yu40000, yu40001, yu40002), app(app(app(ty_@3, h), ba), bb), bc, bd) -> new_esEs(yu300, yu40000, h, ba, bb) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 *new_esEs3(@2(yu300, yu301), @2(yu40000, yu40001), bda, app(app(ty_@2, bea), beb)) -> new_esEs3(yu301, yu40001, bea, beb) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 *new_esEs3(@2(yu300, yu301), @2(yu40000, yu40001), app(app(ty_@2, bcg), bch), bcb) -> new_esEs3(yu300, yu40000, bcg, bch) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs(@3(yu300, yu301, yu302), @3(yu40000, yu40001, yu40002), cc, bc, app(app(ty_@2, ee), ef)) -> new_esEs3(yu302, yu40002, ee, ef) The graph contains the following edges 1 > 1, 2 > 2, 5 > 3, 5 > 4 *new_esEs(@3(yu300, yu301, yu302), @3(yu40000, yu40001, yu40002), app(app(ty_@2, ca), cb), bc, bd) -> new_esEs3(yu300, yu40000, ca, cb) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs(@3(yu300, yu301, yu302), @3(yu40000, yu40001, yu40002), cc, app(app(ty_@2, dd), de), bd) -> new_esEs3(yu301, yu40001, dd, de) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 *new_esEs3(@2(yu300, yu301), @2(yu40000, yu40001), app(app(ty_Either, bcc), bcd), bcb) -> new_esEs0(yu300, yu40000, bcc, bcd) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs3(@2(yu300, yu301), @2(yu40000, yu40001), bda, app(app(ty_Either, bde), bdf)) -> new_esEs0(yu301, yu40001, bde, bdf) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 *new_esEs(@3(yu300, yu301, yu302), @3(yu40000, yu40001, yu40002), app(app(ty_Either, be), bf), bc, bd) -> new_esEs0(yu300, yu40000, be, bf) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs(@3(yu300, yu301, yu302), @3(yu40000, yu40001, yu40002), cc, app(app(ty_Either, cg), da), bd) -> new_esEs0(yu301, yu40001, cg, da) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 *new_esEs(@3(yu300, yu301, yu302), @3(yu40000, yu40001, yu40002), cc, bc, app(app(ty_Either, ea), eb)) -> new_esEs0(yu302, yu40002, ea, eb) The graph contains the following edges 1 > 1, 2 > 2, 5 > 3, 5 > 4 ---------------------------------------- (9) YES ---------------------------------------- (10) Obligation: Q DP problem: The TRS P consists of the following rules: new_lookup(Left(yu30), :(@2(Left(yu4000), yu401), yu41), bc, bd, be) -> new_lookup1(yu30, yu4000, yu401, yu41, new_esEs4(yu30, yu4000, bd), bc, bd, be) new_lookup(Right(yu30), :(@2(Right(yu4000), yu401), yu41), bc, bd, be) -> new_lookup10(yu30, yu4000, yu401, yu41, new_esEs5(yu30, yu4000, be), bc, bd, be) new_lookup10(yu22, yu23, yu24, yu25, False, bf, bg, bh) -> new_lookup(Right(yu22), yu25, bf, bg, bh) new_lookup1(yu11, yu12, yu13, yu14, False, h, ba, bb) -> new_lookup(Left(yu11), yu14, h, ba, bb) new_lookup(Left(yu30), :(@2(Right(yu4000), yu401), yu41), bc, bd, be) -> new_lookup(Left(yu30), yu41, bc, bd, be) new_lookup(Right(yu30), :(@2(Left(yu4000), yu401), yu41), bc, bd, be) -> new_lookup(Right(yu30), yu41, bc, bd, be) The TRS R consists of the following rules: new_esEs27(yu301, yu40001, ty_Double) -> new_esEs15(yu301, yu40001) new_esEs14(Left(yu300), Left(yu40000), app(app(ty_Either, bcc), bcd), bbc) -> new_esEs14(yu300, yu40000, bcc, bcd) new_primEqInt(Pos(Zero), Pos(Zero)) -> True new_esEs19(Just(yu300), Just(yu40000), app(ty_Ratio, bgg)) -> new_esEs6(yu300, yu40000, bgg) new_esEs27(yu301, yu40001, app(app(app(ty_@3, bff), bfg), bfh)) -> new_esEs13(yu301, yu40001, bff, bfg, bfh) new_esEs11(LT, EQ) -> False new_esEs11(EQ, LT) -> False new_esEs27(yu301, yu40001, ty_@0) -> new_esEs16(yu301, yu40001) new_esEs5(yu30, yu4000, ty_Ordering) -> new_esEs11(yu30, yu4000) new_esEs4(yu30, yu4000, ty_Integer) -> new_esEs9(yu30, yu4000) new_esEs24(yu302, yu40002, app(app(ty_@2, he), hf)) -> new_esEs21(yu302, yu40002, he, hf) new_esEs24(yu302, yu40002, app(ty_Maybe, hd)) -> new_esEs19(yu302, yu40002, hd) new_esEs26(yu300, yu40000, ty_Ordering) -> new_esEs11(yu300, yu40000) new_esEs13(@3(yu300, yu301, yu302), @3(yu40000, yu40001, yu40002), de, df, dg) -> new_asAs(new_esEs22(yu300, yu40000, de), new_asAs(new_esEs23(yu301, yu40001, df), new_esEs24(yu302, yu40002, dg))) new_esEs23(yu301, yu40001, ty_Integer) -> new_esEs9(yu301, yu40001) new_esEs24(yu302, yu40002, ty_Ordering) -> new_esEs11(yu302, yu40002) new_esEs19(Nothing, Just(yu40000), bbd) -> False new_esEs19(Just(yu300), Nothing, bbd) -> False new_esEs19(Nothing, Nothing, bbd) -> True new_esEs26(yu300, yu40000, app(ty_[], bfa)) -> new_esEs18(yu300, yu40000, bfa) new_esEs14(Left(yu300), Left(yu40000), ty_Double, bbc) -> new_esEs15(yu300, yu40000) new_esEs11(LT, GT) -> False new_esEs11(GT, LT) -> False new_esEs14(Right(yu300), Right(yu40000), bbb, ty_Bool) -> new_esEs17(yu300, yu40000) new_esEs20(Char(yu300), Char(yu40000)) -> new_primEqNat0(yu300, yu40000) new_esEs27(yu301, yu40001, app(ty_Ratio, bfe)) -> new_esEs6(yu301, yu40001, bfe) new_esEs14(Left(yu300), Left(yu40000), app(ty_Ratio, bbg), bbc) -> new_esEs6(yu300, yu40000, bbg) new_esEs5(yu30, yu4000, ty_Char) -> new_esEs20(yu30, yu4000) new_asAs(True, yu39) -> yu39 new_esEs19(Just(yu300), Just(yu40000), ty_Integer) -> new_esEs9(yu300, yu40000) new_esEs5(yu30, yu4000, app(app(ty_Either, cf), cg)) -> new_esEs14(yu30, yu4000, cf, cg) new_esEs25(yu300, yu40000, app(app(app(ty_@3, baa), bab), bac)) -> new_esEs13(yu300, yu40000, baa, bab, bac) new_esEs26(yu300, yu40000, app(app(ty_@2, bfc), bfd)) -> new_esEs21(yu300, yu40000, bfc, bfd) new_esEs17(False, True) -> False new_esEs17(True, False) -> False new_esEs22(yu300, yu40000, ty_Ordering) -> new_esEs11(yu300, yu40000) new_primEqInt(Pos(Succ(yu3000)), Pos(Zero)) -> False new_primEqInt(Pos(Zero), Pos(Succ(yu400000))) -> False new_esEs4(yu30, yu4000, ty_Double) -> new_esEs15(yu30, yu4000) new_esEs5(yu30, yu4000, app(app(ty_@2, dc), dd)) -> new_esEs21(yu30, yu4000, dc, dd) new_esEs25(yu300, yu40000, ty_Double) -> new_esEs15(yu300, yu40000) new_esEs23(yu301, yu40001, ty_@0) -> new_esEs16(yu301, yu40001) new_esEs22(yu300, yu40000, app(ty_Maybe, eg)) -> new_esEs19(yu300, yu40000, eg) new_esEs26(yu300, yu40000, app(app(ty_Either, beg), beh)) -> new_esEs14(yu300, yu40000, beg, beh) new_esEs16(@0, @0) -> True new_esEs26(yu300, yu40000, ty_Char) -> new_esEs20(yu300, yu40000) new_esEs27(yu301, yu40001, ty_Integer) -> new_esEs9(yu301, yu40001) new_esEs4(yu30, yu4000, app(app(app(ty_@3, de), df), dg)) -> new_esEs13(yu30, yu4000, de, df, dg) new_primEqNat0(Succ(yu3000), Succ(yu400000)) -> new_primEqNat0(yu3000, yu400000) new_esEs19(Just(yu300), Just(yu40000), ty_@0) -> new_esEs16(yu300, yu40000) new_esEs18([], [], hg) -> True new_esEs22(yu300, yu40000, ty_Bool) -> new_esEs17(yu300, yu40000) new_esEs14(Left(yu300), Left(yu40000), ty_@0, bbc) -> new_esEs16(yu300, yu40000) new_esEs4(yu30, yu4000, ty_Float) -> new_esEs12(yu30, yu4000) new_primMulNat0(Zero, Zero) -> Zero new_esEs14(Left(yu300), Left(yu40000), app(ty_[], bce), bbc) -> new_esEs18(yu300, yu40000, bce) new_esEs19(Just(yu300), Just(yu40000), ty_Int) -> new_esEs10(yu300, yu40000) new_esEs23(yu301, yu40001, app(app(app(ty_@3, fc), fd), ff)) -> new_esEs13(yu301, yu40001, fc, fd, ff) new_esEs27(yu301, yu40001, ty_Bool) -> new_esEs17(yu301, yu40001) new_esEs5(yu30, yu4000, ty_Int) -> new_esEs10(yu30, yu4000) new_esEs4(yu30, yu4000, app(ty_[], hg)) -> new_esEs18(yu30, yu4000, hg) new_esEs14(Right(yu300), Right(yu40000), bbb, ty_Ordering) -> new_esEs11(yu300, yu40000) new_esEs14(Right(yu300), Right(yu40000), bbb, app(app(app(ty_@3, bdb), bdc), bdd)) -> new_esEs13(yu300, yu40000, bdb, bdc, bdd) new_esEs11(EQ, GT) -> False new_esEs11(GT, EQ) -> False new_esEs24(yu302, yu40002, ty_Char) -> new_esEs20(yu302, yu40002) new_primEqNat0(Succ(yu3000), Zero) -> False new_primEqNat0(Zero, Succ(yu400000)) -> False new_esEs24(yu302, yu40002, app(app(app(ty_@3, gf), gg), gh)) -> new_esEs13(yu302, yu40002, gf, gg, gh) new_esEs24(yu302, yu40002, app(app(ty_Either, ha), hb)) -> new_esEs14(yu302, yu40002, ha, hb) new_esEs9(Integer(yu300), Integer(yu40000)) -> new_primEqInt(yu300, yu40000) new_esEs14(Right(yu300), Right(yu40000), bbb, ty_@0) -> new_esEs16(yu300, yu40000) new_esEs22(yu300, yu40000, ty_Float) -> new_esEs12(yu300, yu40000) new_esEs27(yu301, yu40001, ty_Int) -> new_esEs10(yu301, yu40001) new_esEs22(yu300, yu40000, ty_Double) -> new_esEs15(yu300, yu40000) new_esEs27(yu301, yu40001, app(app(ty_@2, bge), bgf)) -> new_esEs21(yu301, yu40001, bge, bgf) new_esEs22(yu300, yu40000, app(ty_[], ef)) -> new_esEs18(yu300, yu40000, ef) new_esEs26(yu300, yu40000, ty_Float) -> new_esEs12(yu300, yu40000) new_esEs14(Left(yu300), Left(yu40000), ty_Bool, bbc) -> new_esEs17(yu300, yu40000) new_esEs12(Float(yu300, yu301), Float(yu40000, yu40001)) -> new_esEs10(new_sr(yu300, yu40001), new_sr(yu301, yu40000)) new_esEs23(yu301, yu40001, ty_Int) -> new_esEs10(yu301, yu40001) new_esEs25(yu300, yu40000, ty_Char) -> new_esEs20(yu300, yu40000) new_esEs5(yu30, yu4000, app(app(app(ty_@3, cc), cd), ce)) -> new_esEs13(yu30, yu4000, cc, cd, ce) new_esEs25(yu300, yu40000, app(app(ty_Either, bad), bae)) -> new_esEs14(yu300, yu40000, bad, bae) new_primEqInt(Neg(Succ(yu3000)), Neg(Zero)) -> False new_primEqInt(Neg(Zero), Neg(Succ(yu400000))) -> False new_esEs11(GT, GT) -> True new_primEqInt(Pos(Succ(yu3000)), Pos(Succ(yu400000))) -> new_primEqNat0(yu3000, yu400000) new_esEs15(Double(yu300, yu301), Double(yu40000, yu40001)) -> new_esEs10(new_sr(yu300, yu40001), new_sr(yu301, yu40000)) new_esEs22(yu300, yu40000, ty_Int) -> new_esEs10(yu300, yu40000) new_esEs4(yu30, yu4000, ty_@0) -> new_esEs16(yu30, yu4000) new_esEs14(Right(yu300), Right(yu40000), bbb, app(ty_Ratio, bda)) -> new_esEs6(yu300, yu40000, bda) new_esEs27(yu301, yu40001, ty_Float) -> new_esEs12(yu301, yu40001) new_esEs11(EQ, EQ) -> True new_esEs5(yu30, yu4000, app(ty_Maybe, db)) -> new_esEs19(yu30, yu4000, db) new_sr(Pos(yu3000), Neg(yu400010)) -> Neg(new_primMulNat0(yu3000, yu400010)) new_sr(Neg(yu3000), Pos(yu400010)) -> Neg(new_primMulNat0(yu3000, yu400010)) new_esEs22(yu300, yu40000, app(app(ty_@2, eh), fa)) -> new_esEs21(yu300, yu40000, eh, fa) new_esEs14(Right(yu300), Right(yu40000), bbb, ty_Double) -> new_esEs15(yu300, yu40000) new_esEs14(Left(yu300), Left(yu40000), ty_Ordering, bbc) -> new_esEs11(yu300, yu40000) new_primPlusNat1(Succ(yu4000), Succ(yu40001000)) -> Succ(Succ(new_primPlusNat1(yu4000, yu40001000))) new_primEqInt(Pos(Succ(yu3000)), Neg(yu40000)) -> False new_primEqInt(Neg(Succ(yu3000)), Pos(yu40000)) -> False new_esEs4(yu30, yu4000, app(app(ty_@2, bbe), bbf)) -> new_esEs21(yu30, yu4000, bbe, bbf) new_esEs23(yu301, yu40001, app(ty_Maybe, gb)) -> new_esEs19(yu301, yu40001, gb) new_esEs25(yu300, yu40000, app(ty_Ratio, hh)) -> new_esEs6(yu300, yu40000, hh) new_esEs26(yu300, yu40000, ty_Bool) -> new_esEs17(yu300, yu40000) new_esEs19(Just(yu300), Just(yu40000), app(app(app(ty_@3, bgh), bha), bhb)) -> new_esEs13(yu300, yu40000, bgh, bha, bhb) new_esEs4(yu30, yu4000, ty_Int) -> new_esEs10(yu30, yu4000) new_esEs14(Right(yu300), Right(yu40000), bbb, ty_Float) -> new_esEs12(yu300, yu40000) new_esEs22(yu300, yu40000, ty_@0) -> new_esEs16(yu300, yu40000) new_esEs25(yu300, yu40000, ty_Ordering) -> new_esEs11(yu300, yu40000) new_esEs4(yu30, yu4000, app(ty_Maybe, bbd)) -> new_esEs19(yu30, yu4000, bbd) new_esEs23(yu301, yu40001, app(app(ty_@2, gc), gd)) -> new_esEs21(yu301, yu40001, gc, gd) new_esEs17(True, True) -> True new_esEs27(yu301, yu40001, app(app(ty_Either, bga), bgb)) -> new_esEs14(yu301, yu40001, bga, bgb) new_esEs14(Right(yu300), Right(yu40000), bbb, ty_Int) -> new_esEs10(yu300, yu40000) new_esEs27(yu301, yu40001, app(ty_[], bgc)) -> new_esEs18(yu301, yu40001, bgc) new_esEs26(yu300, yu40000, app(ty_Ratio, bec)) -> new_esEs6(yu300, yu40000, bec) new_esEs27(yu301, yu40001, ty_Char) -> new_esEs20(yu301, yu40001) new_sr(Neg(yu3000), Neg(yu400010)) -> Pos(new_primMulNat0(yu3000, yu400010)) new_esEs5(yu30, yu4000, app(ty_Ratio, cb)) -> new_esEs6(yu30, yu4000, cb) new_esEs14(Right(yu300), Right(yu40000), bbb, app(ty_Maybe, bdh)) -> new_esEs19(yu300, yu40000, bdh) new_esEs14(Left(yu300), Left(yu40000), ty_Int, bbc) -> new_esEs10(yu300, yu40000) new_esEs23(yu301, yu40001, ty_Bool) -> new_esEs17(yu301, yu40001) new_esEs25(yu300, yu40000, app(ty_Maybe, bag)) -> new_esEs19(yu300, yu40000, bag) new_primEqInt(Pos(Zero), Neg(Succ(yu400000))) -> False new_primEqInt(Neg(Zero), Pos(Succ(yu400000))) -> False new_esEs19(Just(yu300), Just(yu40000), app(ty_Maybe, bhf)) -> new_esEs19(yu300, yu40000, bhf) new_esEs23(yu301, yu40001, ty_Ordering) -> new_esEs11(yu301, yu40001) new_esEs14(Left(yu300), Left(yu40000), ty_Float, bbc) -> new_esEs12(yu300, yu40000) new_esEs27(yu301, yu40001, ty_Ordering) -> new_esEs11(yu301, yu40001) new_esEs26(yu300, yu40000, ty_Double) -> new_esEs15(yu300, yu40000) new_esEs5(yu30, yu4000, ty_Integer) -> new_esEs9(yu30, yu4000) new_esEs22(yu300, yu40000, ty_Integer) -> new_esEs9(yu300, yu40000) new_esEs24(yu302, yu40002, ty_@0) -> new_esEs16(yu302, yu40002) new_esEs14(Right(yu300), Right(yu40000), bbb, app(app(ty_@2, bea), beb)) -> new_esEs21(yu300, yu40000, bea, beb) new_esEs5(yu30, yu4000, ty_Double) -> new_esEs15(yu30, yu4000) new_esEs19(Just(yu300), Just(yu40000), app(app(ty_@2, bhg), bhh)) -> new_esEs21(yu300, yu40000, bhg, bhh) new_esEs14(Right(yu300), Right(yu40000), bbb, ty_Integer) -> new_esEs9(yu300, yu40000) new_esEs8(yu301, yu40001, ty_Int) -> new_esEs10(yu301, yu40001) new_primEqInt(Neg(Succ(yu3000)), Neg(Succ(yu400000))) -> new_primEqNat0(yu3000, yu400000) new_esEs14(Right(yu300), Right(yu40000), bbb, app(app(ty_Either, bde), bdf)) -> new_esEs14(yu300, yu40000, bde, bdf) new_primPlusNat0(Succ(yu400), yu4000100) -> Succ(Succ(new_primPlusNat1(yu400, yu4000100))) new_esEs4(yu30, yu4000, ty_Bool) -> new_esEs17(yu30, yu4000) new_esEs24(yu302, yu40002, app(ty_Ratio, ge)) -> new_esEs6(yu302, yu40002, ge) new_esEs25(yu300, yu40000, ty_Float) -> new_esEs12(yu300, yu40000) new_esEs25(yu300, yu40000, app(ty_[], baf)) -> new_esEs18(yu300, yu40000, baf) new_esEs19(Just(yu300), Just(yu40000), ty_Char) -> new_esEs20(yu300, yu40000) new_esEs24(yu302, yu40002, ty_Int) -> new_esEs10(yu302, yu40002) new_esEs10(yu30, yu4000) -> new_primEqInt(yu30, yu4000) new_esEs27(yu301, yu40001, app(ty_Maybe, bgd)) -> new_esEs19(yu301, yu40001, bgd) new_esEs4(yu30, yu4000, ty_Ordering) -> new_esEs11(yu30, yu4000) new_esEs25(yu300, yu40000, ty_Bool) -> new_esEs17(yu300, yu40000) new_esEs14(Left(yu300), Left(yu40000), ty_Char, bbc) -> new_esEs20(yu300, yu40000) new_primPlusNat1(Zero, Zero) -> Zero new_primMulNat0(Succ(yu30000), Zero) -> Zero new_primMulNat0(Zero, Succ(yu4000100)) -> Zero new_sr(Pos(yu3000), Pos(yu400010)) -> Pos(new_primMulNat0(yu3000, yu400010)) new_primPlusNat0(Zero, yu4000100) -> Succ(yu4000100) new_esEs24(yu302, yu40002, ty_Integer) -> new_esEs9(yu302, yu40002) new_esEs18(:(yu300, yu301), :(yu40000, yu40001), hg) -> new_asAs(new_esEs25(yu300, yu40000, hg), new_esEs18(yu301, yu40001, hg)) new_esEs5(yu30, yu4000, ty_@0) -> new_esEs16(yu30, yu4000) new_esEs6(:%(yu300, yu301), :%(yu40000, yu40001), ca) -> new_asAs(new_esEs7(yu300, yu40000, ca), new_esEs8(yu301, yu40001, ca)) new_esEs26(yu300, yu40000, ty_@0) -> new_esEs16(yu300, yu40000) new_esEs19(Just(yu300), Just(yu40000), app(app(ty_Either, bhc), bhd)) -> new_esEs14(yu300, yu40000, bhc, bhd) new_esEs18(:(yu300, yu301), [], hg) -> False new_esEs18([], :(yu40000, yu40001), hg) -> False new_esEs14(Right(yu300), Right(yu40000), bbb, app(ty_[], bdg)) -> new_esEs18(yu300, yu40000, bdg) new_esEs25(yu300, yu40000, ty_Int) -> new_esEs10(yu300, yu40000) new_primEqInt(Neg(Zero), Neg(Zero)) -> True new_esEs23(yu301, yu40001, ty_Char) -> new_esEs20(yu301, yu40001) new_esEs11(LT, LT) -> True new_esEs22(yu300, yu40000, app(app(app(ty_@3, ea), eb), ec)) -> new_esEs13(yu300, yu40000, ea, eb, ec) new_esEs17(False, False) -> True new_primMulNat0(Succ(yu30000), Succ(yu4000100)) -> new_primPlusNat0(new_primMulNat0(yu30000, Succ(yu4000100)), yu4000100) new_esEs23(yu301, yu40001, app(app(ty_Either, fg), fh)) -> new_esEs14(yu301, yu40001, fg, fh) new_esEs23(yu301, yu40001, ty_Float) -> new_esEs12(yu301, yu40001) new_esEs8(yu301, yu40001, ty_Integer) -> new_esEs9(yu301, yu40001) new_esEs23(yu301, yu40001, ty_Double) -> new_esEs15(yu301, yu40001) new_esEs23(yu301, yu40001, app(ty_[], ga)) -> new_esEs18(yu301, yu40001, ga) new_esEs22(yu300, yu40000, app(ty_Ratio, dh)) -> new_esEs6(yu300, yu40000, dh) new_esEs4(yu30, yu4000, ty_Char) -> new_esEs20(yu30, yu4000) new_primPlusNat1(Succ(yu4000), Zero) -> Succ(yu4000) new_primPlusNat1(Zero, Succ(yu40001000)) -> Succ(yu40001000) new_esEs21(@2(yu300, yu301), @2(yu40000, yu40001), bbe, bbf) -> new_asAs(new_esEs26(yu300, yu40000, bbe), new_esEs27(yu301, yu40001, bbf)) new_esEs26(yu300, yu40000, ty_Int) -> new_esEs10(yu300, yu40000) new_esEs14(Left(yu300), Left(yu40000), app(app(app(ty_@3, bbh), bca), bcb), bbc) -> new_esEs13(yu300, yu40000, bbh, bca, bcb) new_primEqInt(Pos(Zero), Neg(Zero)) -> True new_primEqInt(Neg(Zero), Pos(Zero)) -> True new_esEs14(Left(yu300), Left(yu40000), app(app(ty_@2, bcg), bch), bbc) -> new_esEs21(yu300, yu40000, bcg, bch) new_esEs14(Right(yu300), Right(yu40000), bbb, ty_Char) -> new_esEs20(yu300, yu40000) new_esEs26(yu300, yu40000, ty_Integer) -> new_esEs9(yu300, yu40000) new_esEs5(yu30, yu4000, ty_Float) -> new_esEs12(yu30, yu4000) new_esEs5(yu30, yu4000, app(ty_[], da)) -> new_esEs18(yu30, yu4000, da) new_esEs23(yu301, yu40001, app(ty_Ratio, fb)) -> new_esEs6(yu301, yu40001, fb) new_esEs14(Left(yu300), Left(yu40000), ty_Integer, bbc) -> new_esEs9(yu300, yu40000) new_esEs26(yu300, yu40000, app(ty_Maybe, bfb)) -> new_esEs19(yu300, yu40000, bfb) new_esEs19(Just(yu300), Just(yu40000), app(ty_[], bhe)) -> new_esEs18(yu300, yu40000, bhe) new_esEs24(yu302, yu40002, ty_Bool) -> new_esEs17(yu302, yu40002) new_primEqNat0(Zero, Zero) -> True new_esEs19(Just(yu300), Just(yu40000), ty_Double) -> new_esEs15(yu300, yu40000) new_esEs19(Just(yu300), Just(yu40000), ty_Float) -> new_esEs12(yu300, yu40000) new_asAs(False, yu39) -> False new_esEs25(yu300, yu40000, ty_Integer) -> new_esEs9(yu300, yu40000) new_esEs4(yu30, yu4000, app(app(ty_Either, bbb), bbc)) -> new_esEs14(yu30, yu4000, bbb, bbc) new_esEs25(yu300, yu40000, ty_@0) -> new_esEs16(yu300, yu40000) new_esEs14(Left(yu300), Right(yu40000), bbb, bbc) -> False new_esEs14(Right(yu300), Left(yu40000), bbb, bbc) -> False new_esEs7(yu300, yu40000, ty_Int) -> new_esEs10(yu300, yu40000) new_esEs26(yu300, yu40000, app(app(app(ty_@3, bed), bee), bef)) -> new_esEs13(yu300, yu40000, bed, bee, bef) new_esEs19(Just(yu300), Just(yu40000), ty_Bool) -> new_esEs17(yu300, yu40000) new_esEs24(yu302, yu40002, ty_Double) -> new_esEs15(yu302, yu40002) new_esEs4(yu30, yu4000, app(ty_Ratio, ca)) -> new_esEs6(yu30, yu4000, ca) new_esEs22(yu300, yu40000, app(app(ty_Either, ed), ee)) -> new_esEs14(yu300, yu40000, ed, ee) new_esEs22(yu300, yu40000, ty_Char) -> new_esEs20(yu300, yu40000) new_esEs25(yu300, yu40000, app(app(ty_@2, bah), bba)) -> new_esEs21(yu300, yu40000, bah, bba) new_esEs14(Left(yu300), Left(yu40000), app(ty_Maybe, bcf), bbc) -> new_esEs19(yu300, yu40000, bcf) new_esEs5(yu30, yu4000, ty_Bool) -> new_esEs17(yu30, yu4000) new_esEs24(yu302, yu40002, ty_Float) -> new_esEs12(yu302, yu40002) new_esEs7(yu300, yu40000, ty_Integer) -> new_esEs9(yu300, yu40000) new_esEs19(Just(yu300), Just(yu40000), ty_Ordering) -> new_esEs11(yu300, yu40000) new_esEs24(yu302, yu40002, app(ty_[], hc)) -> new_esEs18(yu302, yu40002, hc) The set Q consists of the following terms: new_esEs26(x0, x1, ty_Integer) new_esEs14(Left(x0), Left(x1), ty_Int, x2) new_esEs14(Left(x0), Left(x1), app(app(app(ty_@3, x2), x3), x4), x5) new_esEs25(x0, x1, ty_Integer) new_esEs19(Just(x0), Just(x1), app(ty_Ratio, x2)) new_esEs22(x0, x1, app(ty_Maybe, x2)) new_primMulNat0(Zero, Zero) new_esEs24(x0, x1, ty_Int) new_primPlusNat1(Zero, Zero) new_primEqInt(Pos(Succ(x0)), Pos(Zero)) new_esEs5(x0, x1, app(ty_Maybe, x2)) new_esEs24(x0, x1, ty_Ordering) new_esEs4(x0, x1, ty_Ordering) new_esEs9(Integer(x0), Integer(x1)) new_esEs14(Left(x0), Left(x1), app(app(ty_Either, x2), x3), x4) new_esEs5(x0, x1, ty_Double) new_esEs21(@2(x0, x1), @2(x2, x3), x4, x5) new_esEs14(Left(x0), Left(x1), ty_Float, x2) new_esEs17(True, True) new_esEs19(Just(x0), Just(x1), ty_Integer) new_esEs27(x0, x1, app(ty_Maybe, x2)) new_esEs22(x0, x1, app(app(ty_Either, x2), x3)) new_esEs26(x0, x1, app(app(ty_@2, x2), x3)) new_primEqInt(Pos(Zero), Pos(Zero)) new_primPlusNat1(Succ(x0), Succ(x1)) new_esEs14(Right(x0), Right(x1), x2, app(ty_[], x3)) new_esEs14(Left(x0), Left(x1), ty_Ordering, x2) new_esEs27(x0, x1, ty_Double) new_esEs18([], :(x0, x1), x2) new_esEs17(False, False) new_esEs18(:(x0, x1), :(x2, x3), x4) new_esEs14(Left(x0), Right(x1), x2, x3) new_esEs14(Right(x0), Left(x1), x2, x3) new_esEs19(Nothing, Nothing, x0) new_asAs(False, x0) new_esEs23(x0, x1, ty_Double) new_esEs4(x0, x1, ty_Float) new_esEs14(Right(x0), Right(x1), x2, app(app(app(ty_@3, x3), x4), x5)) new_esEs25(x0, x1, ty_Bool) new_esEs24(x0, x1, ty_Double) new_esEs24(x0, x1, ty_Char) new_esEs24(x0, x1, app(ty_Maybe, x2)) new_primEqInt(Neg(Zero), Neg(Zero)) new_esEs27(x0, x1, app(app(ty_Either, x2), x3)) new_esEs25(x0, x1, app(ty_Ratio, x2)) new_esEs23(x0, x1, ty_Integer) new_esEs23(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs14(Left(x0), Left(x1), app(ty_Ratio, x2), x3) new_esEs25(x0, x1, ty_@0) new_esEs14(Right(x0), Right(x1), x2, ty_Float) new_esEs26(x0, x1, app(ty_Ratio, x2)) new_esEs12(Float(x0, x1), Float(x2, x3)) new_primPlusNat0(Succ(x0), x1) new_esEs22(x0, x1, app(ty_[], x2)) new_esEs5(x0, x1, app(app(ty_Either, x2), x3)) new_esEs24(x0, x1, app(app(ty_@2, x2), x3)) new_esEs5(x0, x1, ty_Int) new_esEs22(x0, x1, ty_@0) new_esEs22(x0, x1, ty_Double) new_esEs14(Right(x0), Right(x1), x2, ty_@0) new_primPlusNat1(Succ(x0), Zero) new_esEs25(x0, x1, ty_Double) new_esEs25(x0, x1, app(app(ty_@2, x2), x3)) new_esEs27(x0, x1, app(ty_Ratio, x2)) new_esEs5(x0, x1, ty_Char) new_esEs26(x0, x1, ty_Bool) new_esEs11(EQ, GT) new_esEs11(GT, EQ) new_esEs14(Right(x0), Right(x1), x2, app(app(ty_Either, x3), x4)) new_esEs27(x0, x1, ty_Float) new_esEs19(Just(x0), Just(x1), ty_Ordering) new_esEs22(x0, x1, ty_Int) new_esEs6(:%(x0, x1), :%(x2, x3), x4) new_primEqInt(Pos(Succ(x0)), Neg(x1)) new_primEqInt(Neg(Succ(x0)), Pos(x1)) new_esEs23(x0, x1, ty_Ordering) new_primEqInt(Pos(Zero), Neg(Zero)) new_primEqInt(Neg(Zero), Pos(Zero)) new_esEs4(x0, x1, app(app(ty_@2, x2), x3)) new_esEs22(x0, x1, app(ty_Ratio, x2)) new_esEs27(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs14(Left(x0), Left(x1), ty_Double, x2) new_esEs25(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs19(Just(x0), Just(x1), app(ty_[], x2)) new_esEs17(False, True) new_esEs17(True, False) new_esEs4(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs14(Left(x0), Left(x1), ty_Char, x2) new_esEs19(Just(x0), Just(x1), app(app(app(ty_@3, x2), x3), x4)) new_esEs5(x0, x1, app(ty_Ratio, x2)) new_sr(Pos(x0), Neg(x1)) new_sr(Neg(x0), Pos(x1)) new_esEs27(x0, x1, app(app(ty_@2, x2), x3)) new_esEs5(x0, x1, ty_Float) new_esEs11(EQ, EQ) new_esEs23(x0, x1, app(ty_[], x2)) new_esEs25(x0, x1, ty_Float) new_esEs26(x0, x1, app(ty_Maybe, x2)) new_esEs19(Just(x0), Just(x1), app(app(ty_Either, x2), x3)) new_esEs24(x0, x1, ty_Float) new_primEqInt(Neg(Succ(x0)), Neg(Zero)) new_esEs5(x0, x1, ty_@0) new_esEs14(Left(x0), Left(x1), app(ty_[], x2), x3) new_esEs18([], [], x0) new_esEs27(x0, x1, app(ty_[], x2)) new_esEs24(x0, x1, app(app(ty_Either, x2), x3)) new_primMulNat0(Succ(x0), Zero) new_esEs22(x0, x1, ty_Float) new_esEs7(x0, x1, ty_Integer) new_esEs14(Left(x0), Left(x1), ty_Bool, x2) new_primEqInt(Pos(Zero), Neg(Succ(x0))) new_primEqInt(Neg(Zero), Pos(Succ(x0))) new_esEs15(Double(x0, x1), Double(x2, x3)) new_esEs4(x0, x1, ty_@0) new_esEs20(Char(x0), Char(x1)) new_esEs24(x0, x1, app(ty_Ratio, x2)) new_esEs22(x0, x1, ty_Char) new_esEs25(x0, x1, ty_Int) new_esEs24(x0, x1, ty_Bool) new_esEs4(x0, x1, app(ty_Maybe, x2)) new_esEs4(x0, x1, ty_Bool) new_esEs14(Left(x0), Left(x1), app(ty_Maybe, x2), x3) new_esEs14(Right(x0), Right(x1), x2, app(ty_Ratio, x3)) new_esEs10(x0, x1) new_primMulNat0(Succ(x0), Succ(x1)) new_esEs23(x0, x1, ty_@0) new_primEqNat0(Succ(x0), Succ(x1)) new_esEs24(x0, x1, ty_@0) new_primEqInt(Pos(Succ(x0)), Pos(Succ(x1))) new_esEs25(x0, x1, ty_Char) new_esEs8(x0, x1, ty_Int) new_primEqNat0(Succ(x0), Zero) new_primEqInt(Pos(Zero), Pos(Succ(x0))) new_esEs25(x0, x1, app(ty_Maybe, x2)) new_esEs26(x0, x1, ty_Ordering) new_esEs24(x0, x1, app(ty_[], x2)) new_esEs14(Right(x0), Right(x1), x2, ty_Int) new_esEs23(x0, x1, ty_Bool) new_esEs11(LT, GT) new_esEs11(GT, LT) new_esEs27(x0, x1, ty_Char) new_esEs14(Left(x0), Left(x1), ty_@0, x2) new_esEs14(Right(x0), Right(x1), x2, app(app(ty_@2, x3), x4)) new_esEs27(x0, x1, ty_@0) new_esEs19(Nothing, Just(x0), x1) new_esEs19(Just(x0), Nothing, x1) new_esEs23(x0, x1, ty_Char) new_esEs27(x0, x1, ty_Int) new_esEs26(x0, x1, ty_Double) new_primEqNat0(Zero, Succ(x0)) new_esEs19(Just(x0), Just(x1), app(app(ty_@2, x2), x3)) new_esEs11(LT, EQ) new_esEs11(EQ, LT) new_esEs14(Left(x0), Left(x1), ty_Integer, x2) new_esEs5(x0, x1, ty_Bool) new_esEs14(Right(x0), Right(x1), x2, ty_Char) new_esEs4(x0, x1, ty_Integer) new_esEs26(x0, x1, ty_Char) new_esEs26(x0, x1, ty_Int) new_esEs24(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs22(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs11(GT, GT) new_esEs23(x0, x1, app(app(ty_Either, x2), x3)) new_primEqInt(Neg(Succ(x0)), Neg(Succ(x1))) new_esEs4(x0, x1, app(ty_[], x2)) new_primMulNat0(Zero, Succ(x0)) new_sr(Pos(x0), Pos(x1)) new_primEqNat0(Zero, Zero) new_esEs5(x0, x1, app(app(ty_@2, x2), x3)) new_esEs22(x0, x1, ty_Bool) new_esEs4(x0, x1, app(app(ty_Either, x2), x3)) new_esEs14(Right(x0), Right(x1), x2, ty_Ordering) new_esEs4(x0, x1, ty_Char) new_esEs22(x0, x1, ty_Ordering) new_esEs27(x0, x1, ty_Ordering) new_esEs19(Just(x0), Just(x1), ty_Float) new_esEs14(Right(x0), Right(x1), x2, ty_Double) new_esEs19(Just(x0), Just(x1), ty_Bool) new_esEs26(x0, x1, ty_@0) new_esEs5(x0, x1, ty_Integer) new_sr(Neg(x0), Neg(x1)) new_asAs(True, x0) new_esEs27(x0, x1, ty_Bool) new_esEs4(x0, x1, ty_Int) new_esEs11(LT, LT) new_esEs26(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs26(x0, x1, ty_Float) new_esEs26(x0, x1, app(ty_[], x2)) new_esEs23(x0, x1, app(ty_Maybe, x2)) new_esEs23(x0, x1, app(ty_Ratio, x2)) new_esEs27(x0, x1, ty_Integer) new_esEs23(x0, x1, ty_Int) new_esEs7(x0, x1, ty_Int) new_esEs19(Just(x0), Just(x1), ty_@0) new_esEs25(x0, x1, app(app(ty_Either, x2), x3)) new_esEs14(Right(x0), Right(x1), x2, ty_Bool) new_esEs14(Right(x0), Right(x1), x2, app(ty_Maybe, x3)) new_esEs19(Just(x0), Just(x1), app(ty_Maybe, x2)) new_esEs24(x0, x1, ty_Integer) new_esEs14(Right(x0), Right(x1), x2, ty_Integer) new_esEs25(x0, x1, app(ty_[], x2)) new_esEs5(x0, x1, app(ty_[], x2)) new_esEs23(x0, x1, app(app(ty_@2, x2), x3)) new_esEs19(Just(x0), Just(x1), ty_Int) new_esEs14(Left(x0), Left(x1), app(app(ty_@2, x2), x3), x4) new_esEs5(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_primPlusNat0(Zero, x0) new_esEs19(Just(x0), Just(x1), ty_Char) new_primPlusNat1(Zero, Succ(x0)) new_esEs8(x0, x1, ty_Integer) new_esEs16(@0, @0) new_esEs22(x0, x1, ty_Integer) new_esEs18(:(x0, x1), [], x2) new_esEs25(x0, x1, ty_Ordering) new_esEs4(x0, x1, ty_Double) new_esEs5(x0, x1, ty_Ordering) new_primEqInt(Neg(Zero), Neg(Succ(x0))) new_esEs22(x0, x1, app(app(ty_@2, x2), x3)) new_esEs23(x0, x1, ty_Float) new_esEs4(x0, x1, app(ty_Ratio, x2)) new_esEs19(Just(x0), Just(x1), ty_Double) new_esEs13(@3(x0, x1, x2), @3(x3, x4, x5), x6, x7, x8) new_esEs26(x0, x1, app(app(ty_Either, x2), x3)) We have to consider all minimal (P,Q,R)-chains. ---------------------------------------- (11) DependencyGraphProof (EQUIVALENT) The approximation of the Dependency Graph [LPAR04,FROCOS05,EDGSTAR] contains 2 SCCs. ---------------------------------------- (12) Complex Obligation (AND) ---------------------------------------- (13) Obligation: Q DP problem: The TRS P consists of the following rules: new_lookup10(yu22, yu23, yu24, yu25, False, bf, bg, bh) -> new_lookup(Right(yu22), yu25, bf, bg, bh) new_lookup(Right(yu30), :(@2(Right(yu4000), yu401), yu41), bc, bd, be) -> new_lookup10(yu30, yu4000, yu401, yu41, new_esEs5(yu30, yu4000, be), bc, bd, be) new_lookup(Right(yu30), :(@2(Left(yu4000), yu401), yu41), bc, bd, be) -> new_lookup(Right(yu30), yu41, bc, bd, be) The TRS R consists of the following rules: new_esEs27(yu301, yu40001, ty_Double) -> new_esEs15(yu301, yu40001) new_esEs14(Left(yu300), Left(yu40000), app(app(ty_Either, bcc), bcd), bbc) -> new_esEs14(yu300, yu40000, bcc, bcd) new_primEqInt(Pos(Zero), Pos(Zero)) -> True new_esEs19(Just(yu300), Just(yu40000), app(ty_Ratio, bgg)) -> new_esEs6(yu300, yu40000, bgg) new_esEs27(yu301, yu40001, app(app(app(ty_@3, bff), bfg), bfh)) -> new_esEs13(yu301, yu40001, bff, bfg, bfh) new_esEs11(LT, EQ) -> False new_esEs11(EQ, LT) -> False new_esEs27(yu301, yu40001, ty_@0) -> new_esEs16(yu301, yu40001) new_esEs5(yu30, yu4000, ty_Ordering) -> new_esEs11(yu30, yu4000) new_esEs4(yu30, yu4000, ty_Integer) -> new_esEs9(yu30, yu4000) new_esEs24(yu302, yu40002, app(app(ty_@2, he), hf)) -> new_esEs21(yu302, yu40002, he, hf) new_esEs24(yu302, yu40002, app(ty_Maybe, hd)) -> new_esEs19(yu302, yu40002, hd) new_esEs26(yu300, yu40000, ty_Ordering) -> new_esEs11(yu300, yu40000) new_esEs13(@3(yu300, yu301, yu302), @3(yu40000, yu40001, yu40002), de, df, dg) -> new_asAs(new_esEs22(yu300, yu40000, de), new_asAs(new_esEs23(yu301, yu40001, df), new_esEs24(yu302, yu40002, dg))) new_esEs23(yu301, yu40001, ty_Integer) -> new_esEs9(yu301, yu40001) new_esEs24(yu302, yu40002, ty_Ordering) -> new_esEs11(yu302, yu40002) new_esEs19(Nothing, Just(yu40000), bbd) -> False new_esEs19(Just(yu300), Nothing, bbd) -> False new_esEs19(Nothing, Nothing, bbd) -> True new_esEs26(yu300, yu40000, app(ty_[], bfa)) -> new_esEs18(yu300, yu40000, bfa) new_esEs14(Left(yu300), Left(yu40000), ty_Double, bbc) -> new_esEs15(yu300, yu40000) new_esEs11(LT, GT) -> False new_esEs11(GT, LT) -> False new_esEs14(Right(yu300), Right(yu40000), bbb, ty_Bool) -> new_esEs17(yu300, yu40000) new_esEs20(Char(yu300), Char(yu40000)) -> new_primEqNat0(yu300, yu40000) new_esEs27(yu301, yu40001, app(ty_Ratio, bfe)) -> new_esEs6(yu301, yu40001, bfe) new_esEs14(Left(yu300), Left(yu40000), app(ty_Ratio, bbg), bbc) -> new_esEs6(yu300, yu40000, bbg) new_esEs5(yu30, yu4000, ty_Char) -> new_esEs20(yu30, yu4000) new_asAs(True, yu39) -> yu39 new_esEs19(Just(yu300), Just(yu40000), ty_Integer) -> new_esEs9(yu300, yu40000) new_esEs5(yu30, yu4000, app(app(ty_Either, cf), cg)) -> new_esEs14(yu30, yu4000, cf, cg) new_esEs25(yu300, yu40000, app(app(app(ty_@3, baa), bab), bac)) -> new_esEs13(yu300, yu40000, baa, bab, bac) new_esEs26(yu300, yu40000, app(app(ty_@2, bfc), bfd)) -> new_esEs21(yu300, yu40000, bfc, bfd) new_esEs17(False, True) -> False new_esEs17(True, False) -> False new_esEs22(yu300, yu40000, ty_Ordering) -> new_esEs11(yu300, yu40000) new_primEqInt(Pos(Succ(yu3000)), Pos(Zero)) -> False new_primEqInt(Pos(Zero), Pos(Succ(yu400000))) -> False new_esEs4(yu30, yu4000, ty_Double) -> new_esEs15(yu30, yu4000) new_esEs5(yu30, yu4000, app(app(ty_@2, dc), dd)) -> new_esEs21(yu30, yu4000, dc, dd) new_esEs25(yu300, yu40000, ty_Double) -> new_esEs15(yu300, yu40000) new_esEs23(yu301, yu40001, ty_@0) -> new_esEs16(yu301, yu40001) new_esEs22(yu300, yu40000, app(ty_Maybe, eg)) -> new_esEs19(yu300, yu40000, eg) new_esEs26(yu300, yu40000, app(app(ty_Either, beg), beh)) -> new_esEs14(yu300, yu40000, beg, beh) new_esEs16(@0, @0) -> True new_esEs26(yu300, yu40000, ty_Char) -> new_esEs20(yu300, yu40000) new_esEs27(yu301, yu40001, ty_Integer) -> new_esEs9(yu301, yu40001) new_esEs4(yu30, yu4000, app(app(app(ty_@3, de), df), dg)) -> new_esEs13(yu30, yu4000, de, df, dg) new_primEqNat0(Succ(yu3000), Succ(yu400000)) -> new_primEqNat0(yu3000, yu400000) new_esEs19(Just(yu300), Just(yu40000), ty_@0) -> new_esEs16(yu300, yu40000) new_esEs18([], [], hg) -> True new_esEs22(yu300, yu40000, ty_Bool) -> new_esEs17(yu300, yu40000) new_esEs14(Left(yu300), Left(yu40000), ty_@0, bbc) -> new_esEs16(yu300, yu40000) new_esEs4(yu30, yu4000, ty_Float) -> new_esEs12(yu30, yu4000) new_primMulNat0(Zero, Zero) -> Zero new_esEs14(Left(yu300), Left(yu40000), app(ty_[], bce), bbc) -> new_esEs18(yu300, yu40000, bce) new_esEs19(Just(yu300), Just(yu40000), ty_Int) -> new_esEs10(yu300, yu40000) new_esEs23(yu301, yu40001, app(app(app(ty_@3, fc), fd), ff)) -> new_esEs13(yu301, yu40001, fc, fd, ff) new_esEs27(yu301, yu40001, ty_Bool) -> new_esEs17(yu301, yu40001) new_esEs5(yu30, yu4000, ty_Int) -> new_esEs10(yu30, yu4000) new_esEs4(yu30, yu4000, app(ty_[], hg)) -> new_esEs18(yu30, yu4000, hg) new_esEs14(Right(yu300), Right(yu40000), bbb, ty_Ordering) -> new_esEs11(yu300, yu40000) new_esEs14(Right(yu300), Right(yu40000), bbb, app(app(app(ty_@3, bdb), bdc), bdd)) -> new_esEs13(yu300, yu40000, bdb, bdc, bdd) new_esEs11(EQ, GT) -> False new_esEs11(GT, EQ) -> False new_esEs24(yu302, yu40002, ty_Char) -> new_esEs20(yu302, yu40002) new_primEqNat0(Succ(yu3000), Zero) -> False new_primEqNat0(Zero, Succ(yu400000)) -> False new_esEs24(yu302, yu40002, app(app(app(ty_@3, gf), gg), gh)) -> new_esEs13(yu302, yu40002, gf, gg, gh) new_esEs24(yu302, yu40002, app(app(ty_Either, ha), hb)) -> new_esEs14(yu302, yu40002, ha, hb) new_esEs9(Integer(yu300), Integer(yu40000)) -> new_primEqInt(yu300, yu40000) new_esEs14(Right(yu300), Right(yu40000), bbb, ty_@0) -> new_esEs16(yu300, yu40000) new_esEs22(yu300, yu40000, ty_Float) -> new_esEs12(yu300, yu40000) new_esEs27(yu301, yu40001, ty_Int) -> new_esEs10(yu301, yu40001) new_esEs22(yu300, yu40000, ty_Double) -> new_esEs15(yu300, yu40000) new_esEs27(yu301, yu40001, app(app(ty_@2, bge), bgf)) -> new_esEs21(yu301, yu40001, bge, bgf) new_esEs22(yu300, yu40000, app(ty_[], ef)) -> new_esEs18(yu300, yu40000, ef) new_esEs26(yu300, yu40000, ty_Float) -> new_esEs12(yu300, yu40000) new_esEs14(Left(yu300), Left(yu40000), ty_Bool, bbc) -> new_esEs17(yu300, yu40000) new_esEs12(Float(yu300, yu301), Float(yu40000, yu40001)) -> new_esEs10(new_sr(yu300, yu40001), new_sr(yu301, yu40000)) new_esEs23(yu301, yu40001, ty_Int) -> new_esEs10(yu301, yu40001) new_esEs25(yu300, yu40000, ty_Char) -> new_esEs20(yu300, yu40000) new_esEs5(yu30, yu4000, app(app(app(ty_@3, cc), cd), ce)) -> new_esEs13(yu30, yu4000, cc, cd, ce) new_esEs25(yu300, yu40000, app(app(ty_Either, bad), bae)) -> new_esEs14(yu300, yu40000, bad, bae) new_primEqInt(Neg(Succ(yu3000)), Neg(Zero)) -> False new_primEqInt(Neg(Zero), Neg(Succ(yu400000))) -> False new_esEs11(GT, GT) -> True new_primEqInt(Pos(Succ(yu3000)), Pos(Succ(yu400000))) -> new_primEqNat0(yu3000, yu400000) new_esEs15(Double(yu300, yu301), Double(yu40000, yu40001)) -> new_esEs10(new_sr(yu300, yu40001), new_sr(yu301, yu40000)) new_esEs22(yu300, yu40000, ty_Int) -> new_esEs10(yu300, yu40000) new_esEs4(yu30, yu4000, ty_@0) -> new_esEs16(yu30, yu4000) new_esEs14(Right(yu300), Right(yu40000), bbb, app(ty_Ratio, bda)) -> new_esEs6(yu300, yu40000, bda) new_esEs27(yu301, yu40001, ty_Float) -> new_esEs12(yu301, yu40001) new_esEs11(EQ, EQ) -> True new_esEs5(yu30, yu4000, app(ty_Maybe, db)) -> new_esEs19(yu30, yu4000, db) new_sr(Pos(yu3000), Neg(yu400010)) -> Neg(new_primMulNat0(yu3000, yu400010)) new_sr(Neg(yu3000), Pos(yu400010)) -> Neg(new_primMulNat0(yu3000, yu400010)) new_esEs22(yu300, yu40000, app(app(ty_@2, eh), fa)) -> new_esEs21(yu300, yu40000, eh, fa) new_esEs14(Right(yu300), Right(yu40000), bbb, ty_Double) -> new_esEs15(yu300, yu40000) new_esEs14(Left(yu300), Left(yu40000), ty_Ordering, bbc) -> new_esEs11(yu300, yu40000) new_primPlusNat1(Succ(yu4000), Succ(yu40001000)) -> Succ(Succ(new_primPlusNat1(yu4000, yu40001000))) new_primEqInt(Pos(Succ(yu3000)), Neg(yu40000)) -> False new_primEqInt(Neg(Succ(yu3000)), Pos(yu40000)) -> False new_esEs4(yu30, yu4000, app(app(ty_@2, bbe), bbf)) -> new_esEs21(yu30, yu4000, bbe, bbf) new_esEs23(yu301, yu40001, app(ty_Maybe, gb)) -> new_esEs19(yu301, yu40001, gb) new_esEs25(yu300, yu40000, app(ty_Ratio, hh)) -> new_esEs6(yu300, yu40000, hh) new_esEs26(yu300, yu40000, ty_Bool) -> new_esEs17(yu300, yu40000) new_esEs19(Just(yu300), Just(yu40000), app(app(app(ty_@3, bgh), bha), bhb)) -> new_esEs13(yu300, yu40000, bgh, bha, bhb) new_esEs4(yu30, yu4000, ty_Int) -> new_esEs10(yu30, yu4000) new_esEs14(Right(yu300), Right(yu40000), bbb, ty_Float) -> new_esEs12(yu300, yu40000) new_esEs22(yu300, yu40000, ty_@0) -> new_esEs16(yu300, yu40000) new_esEs25(yu300, yu40000, ty_Ordering) -> new_esEs11(yu300, yu40000) new_esEs4(yu30, yu4000, app(ty_Maybe, bbd)) -> new_esEs19(yu30, yu4000, bbd) new_esEs23(yu301, yu40001, app(app(ty_@2, gc), gd)) -> new_esEs21(yu301, yu40001, gc, gd) new_esEs17(True, True) -> True new_esEs27(yu301, yu40001, app(app(ty_Either, bga), bgb)) -> new_esEs14(yu301, yu40001, bga, bgb) new_esEs14(Right(yu300), Right(yu40000), bbb, ty_Int) -> new_esEs10(yu300, yu40000) new_esEs27(yu301, yu40001, app(ty_[], bgc)) -> new_esEs18(yu301, yu40001, bgc) new_esEs26(yu300, yu40000, app(ty_Ratio, bec)) -> new_esEs6(yu300, yu40000, bec) new_esEs27(yu301, yu40001, ty_Char) -> new_esEs20(yu301, yu40001) new_sr(Neg(yu3000), Neg(yu400010)) -> Pos(new_primMulNat0(yu3000, yu400010)) new_esEs5(yu30, yu4000, app(ty_Ratio, cb)) -> new_esEs6(yu30, yu4000, cb) new_esEs14(Right(yu300), Right(yu40000), bbb, app(ty_Maybe, bdh)) -> new_esEs19(yu300, yu40000, bdh) new_esEs14(Left(yu300), Left(yu40000), ty_Int, bbc) -> new_esEs10(yu300, yu40000) new_esEs23(yu301, yu40001, ty_Bool) -> new_esEs17(yu301, yu40001) new_esEs25(yu300, yu40000, app(ty_Maybe, bag)) -> new_esEs19(yu300, yu40000, bag) new_primEqInt(Pos(Zero), Neg(Succ(yu400000))) -> False new_primEqInt(Neg(Zero), Pos(Succ(yu400000))) -> False new_esEs19(Just(yu300), Just(yu40000), app(ty_Maybe, bhf)) -> new_esEs19(yu300, yu40000, bhf) new_esEs23(yu301, yu40001, ty_Ordering) -> new_esEs11(yu301, yu40001) new_esEs14(Left(yu300), Left(yu40000), ty_Float, bbc) -> new_esEs12(yu300, yu40000) new_esEs27(yu301, yu40001, ty_Ordering) -> new_esEs11(yu301, yu40001) new_esEs26(yu300, yu40000, ty_Double) -> new_esEs15(yu300, yu40000) new_esEs5(yu30, yu4000, ty_Integer) -> new_esEs9(yu30, yu4000) new_esEs22(yu300, yu40000, ty_Integer) -> new_esEs9(yu300, yu40000) new_esEs24(yu302, yu40002, ty_@0) -> new_esEs16(yu302, yu40002) new_esEs14(Right(yu300), Right(yu40000), bbb, app(app(ty_@2, bea), beb)) -> new_esEs21(yu300, yu40000, bea, beb) new_esEs5(yu30, yu4000, ty_Double) -> new_esEs15(yu30, yu4000) new_esEs19(Just(yu300), Just(yu40000), app(app(ty_@2, bhg), bhh)) -> new_esEs21(yu300, yu40000, bhg, bhh) new_esEs14(Right(yu300), Right(yu40000), bbb, ty_Integer) -> new_esEs9(yu300, yu40000) new_esEs8(yu301, yu40001, ty_Int) -> new_esEs10(yu301, yu40001) new_primEqInt(Neg(Succ(yu3000)), Neg(Succ(yu400000))) -> new_primEqNat0(yu3000, yu400000) new_esEs14(Right(yu300), Right(yu40000), bbb, app(app(ty_Either, bde), bdf)) -> new_esEs14(yu300, yu40000, bde, bdf) new_primPlusNat0(Succ(yu400), yu4000100) -> Succ(Succ(new_primPlusNat1(yu400, yu4000100))) new_esEs4(yu30, yu4000, ty_Bool) -> new_esEs17(yu30, yu4000) new_esEs24(yu302, yu40002, app(ty_Ratio, ge)) -> new_esEs6(yu302, yu40002, ge) new_esEs25(yu300, yu40000, ty_Float) -> new_esEs12(yu300, yu40000) new_esEs25(yu300, yu40000, app(ty_[], baf)) -> new_esEs18(yu300, yu40000, baf) new_esEs19(Just(yu300), Just(yu40000), ty_Char) -> new_esEs20(yu300, yu40000) new_esEs24(yu302, yu40002, ty_Int) -> new_esEs10(yu302, yu40002) new_esEs10(yu30, yu4000) -> new_primEqInt(yu30, yu4000) new_esEs27(yu301, yu40001, app(ty_Maybe, bgd)) -> new_esEs19(yu301, yu40001, bgd) new_esEs4(yu30, yu4000, ty_Ordering) -> new_esEs11(yu30, yu4000) new_esEs25(yu300, yu40000, ty_Bool) -> new_esEs17(yu300, yu40000) new_esEs14(Left(yu300), Left(yu40000), ty_Char, bbc) -> new_esEs20(yu300, yu40000) new_primPlusNat1(Zero, Zero) -> Zero new_primMulNat0(Succ(yu30000), Zero) -> Zero new_primMulNat0(Zero, Succ(yu4000100)) -> Zero new_sr(Pos(yu3000), Pos(yu400010)) -> Pos(new_primMulNat0(yu3000, yu400010)) new_primPlusNat0(Zero, yu4000100) -> Succ(yu4000100) new_esEs24(yu302, yu40002, ty_Integer) -> new_esEs9(yu302, yu40002) new_esEs18(:(yu300, yu301), :(yu40000, yu40001), hg) -> new_asAs(new_esEs25(yu300, yu40000, hg), new_esEs18(yu301, yu40001, hg)) new_esEs5(yu30, yu4000, ty_@0) -> new_esEs16(yu30, yu4000) new_esEs6(:%(yu300, yu301), :%(yu40000, yu40001), ca) -> new_asAs(new_esEs7(yu300, yu40000, ca), new_esEs8(yu301, yu40001, ca)) new_esEs26(yu300, yu40000, ty_@0) -> new_esEs16(yu300, yu40000) new_esEs19(Just(yu300), Just(yu40000), app(app(ty_Either, bhc), bhd)) -> new_esEs14(yu300, yu40000, bhc, bhd) new_esEs18(:(yu300, yu301), [], hg) -> False new_esEs18([], :(yu40000, yu40001), hg) -> False new_esEs14(Right(yu300), Right(yu40000), bbb, app(ty_[], bdg)) -> new_esEs18(yu300, yu40000, bdg) new_esEs25(yu300, yu40000, ty_Int) -> new_esEs10(yu300, yu40000) new_primEqInt(Neg(Zero), Neg(Zero)) -> True new_esEs23(yu301, yu40001, ty_Char) -> new_esEs20(yu301, yu40001) new_esEs11(LT, LT) -> True new_esEs22(yu300, yu40000, app(app(app(ty_@3, ea), eb), ec)) -> new_esEs13(yu300, yu40000, ea, eb, ec) new_esEs17(False, False) -> True new_primMulNat0(Succ(yu30000), Succ(yu4000100)) -> new_primPlusNat0(new_primMulNat0(yu30000, Succ(yu4000100)), yu4000100) new_esEs23(yu301, yu40001, app(app(ty_Either, fg), fh)) -> new_esEs14(yu301, yu40001, fg, fh) new_esEs23(yu301, yu40001, ty_Float) -> new_esEs12(yu301, yu40001) new_esEs8(yu301, yu40001, ty_Integer) -> new_esEs9(yu301, yu40001) new_esEs23(yu301, yu40001, ty_Double) -> new_esEs15(yu301, yu40001) new_esEs23(yu301, yu40001, app(ty_[], ga)) -> new_esEs18(yu301, yu40001, ga) new_esEs22(yu300, yu40000, app(ty_Ratio, dh)) -> new_esEs6(yu300, yu40000, dh) new_esEs4(yu30, yu4000, ty_Char) -> new_esEs20(yu30, yu4000) new_primPlusNat1(Succ(yu4000), Zero) -> Succ(yu4000) new_primPlusNat1(Zero, Succ(yu40001000)) -> Succ(yu40001000) new_esEs21(@2(yu300, yu301), @2(yu40000, yu40001), bbe, bbf) -> new_asAs(new_esEs26(yu300, yu40000, bbe), new_esEs27(yu301, yu40001, bbf)) new_esEs26(yu300, yu40000, ty_Int) -> new_esEs10(yu300, yu40000) new_esEs14(Left(yu300), Left(yu40000), app(app(app(ty_@3, bbh), bca), bcb), bbc) -> new_esEs13(yu300, yu40000, bbh, bca, bcb) new_primEqInt(Pos(Zero), Neg(Zero)) -> True new_primEqInt(Neg(Zero), Pos(Zero)) -> True new_esEs14(Left(yu300), Left(yu40000), app(app(ty_@2, bcg), bch), bbc) -> new_esEs21(yu300, yu40000, bcg, bch) new_esEs14(Right(yu300), Right(yu40000), bbb, ty_Char) -> new_esEs20(yu300, yu40000) new_esEs26(yu300, yu40000, ty_Integer) -> new_esEs9(yu300, yu40000) new_esEs5(yu30, yu4000, ty_Float) -> new_esEs12(yu30, yu4000) new_esEs5(yu30, yu4000, app(ty_[], da)) -> new_esEs18(yu30, yu4000, da) new_esEs23(yu301, yu40001, app(ty_Ratio, fb)) -> new_esEs6(yu301, yu40001, fb) new_esEs14(Left(yu300), Left(yu40000), ty_Integer, bbc) -> new_esEs9(yu300, yu40000) new_esEs26(yu300, yu40000, app(ty_Maybe, bfb)) -> new_esEs19(yu300, yu40000, bfb) new_esEs19(Just(yu300), Just(yu40000), app(ty_[], bhe)) -> new_esEs18(yu300, yu40000, bhe) new_esEs24(yu302, yu40002, ty_Bool) -> new_esEs17(yu302, yu40002) new_primEqNat0(Zero, Zero) -> True new_esEs19(Just(yu300), Just(yu40000), ty_Double) -> new_esEs15(yu300, yu40000) new_esEs19(Just(yu300), Just(yu40000), ty_Float) -> new_esEs12(yu300, yu40000) new_asAs(False, yu39) -> False new_esEs25(yu300, yu40000, ty_Integer) -> new_esEs9(yu300, yu40000) new_esEs4(yu30, yu4000, app(app(ty_Either, bbb), bbc)) -> new_esEs14(yu30, yu4000, bbb, bbc) new_esEs25(yu300, yu40000, ty_@0) -> new_esEs16(yu300, yu40000) new_esEs14(Left(yu300), Right(yu40000), bbb, bbc) -> False new_esEs14(Right(yu300), Left(yu40000), bbb, bbc) -> False new_esEs7(yu300, yu40000, ty_Int) -> new_esEs10(yu300, yu40000) new_esEs26(yu300, yu40000, app(app(app(ty_@3, bed), bee), bef)) -> new_esEs13(yu300, yu40000, bed, bee, bef) new_esEs19(Just(yu300), Just(yu40000), ty_Bool) -> new_esEs17(yu300, yu40000) new_esEs24(yu302, yu40002, ty_Double) -> new_esEs15(yu302, yu40002) new_esEs4(yu30, yu4000, app(ty_Ratio, ca)) -> new_esEs6(yu30, yu4000, ca) new_esEs22(yu300, yu40000, app(app(ty_Either, ed), ee)) -> new_esEs14(yu300, yu40000, ed, ee) new_esEs22(yu300, yu40000, ty_Char) -> new_esEs20(yu300, yu40000) new_esEs25(yu300, yu40000, app(app(ty_@2, bah), bba)) -> new_esEs21(yu300, yu40000, bah, bba) new_esEs14(Left(yu300), Left(yu40000), app(ty_Maybe, bcf), bbc) -> new_esEs19(yu300, yu40000, bcf) new_esEs5(yu30, yu4000, ty_Bool) -> new_esEs17(yu30, yu4000) new_esEs24(yu302, yu40002, ty_Float) -> new_esEs12(yu302, yu40002) new_esEs7(yu300, yu40000, ty_Integer) -> new_esEs9(yu300, yu40000) new_esEs19(Just(yu300), Just(yu40000), ty_Ordering) -> new_esEs11(yu300, yu40000) new_esEs24(yu302, yu40002, app(ty_[], hc)) -> new_esEs18(yu302, yu40002, hc) The set Q consists of the following terms: new_esEs26(x0, x1, ty_Integer) new_esEs14(Left(x0), Left(x1), ty_Int, x2) new_esEs14(Left(x0), Left(x1), app(app(app(ty_@3, x2), x3), x4), x5) new_esEs25(x0, x1, ty_Integer) new_esEs19(Just(x0), Just(x1), app(ty_Ratio, x2)) new_esEs22(x0, x1, app(ty_Maybe, x2)) new_primMulNat0(Zero, Zero) new_esEs24(x0, x1, ty_Int) new_primPlusNat1(Zero, Zero) new_primEqInt(Pos(Succ(x0)), Pos(Zero)) new_esEs5(x0, x1, app(ty_Maybe, x2)) new_esEs24(x0, x1, ty_Ordering) new_esEs4(x0, x1, ty_Ordering) new_esEs9(Integer(x0), Integer(x1)) new_esEs14(Left(x0), Left(x1), app(app(ty_Either, x2), x3), x4) new_esEs5(x0, x1, ty_Double) new_esEs21(@2(x0, x1), @2(x2, x3), x4, x5) new_esEs14(Left(x0), Left(x1), ty_Float, x2) new_esEs17(True, True) new_esEs19(Just(x0), Just(x1), ty_Integer) new_esEs27(x0, x1, app(ty_Maybe, x2)) new_esEs22(x0, x1, app(app(ty_Either, x2), x3)) new_esEs26(x0, x1, app(app(ty_@2, x2), x3)) new_primEqInt(Pos(Zero), Pos(Zero)) new_primPlusNat1(Succ(x0), Succ(x1)) new_esEs14(Right(x0), Right(x1), x2, app(ty_[], x3)) new_esEs14(Left(x0), Left(x1), ty_Ordering, x2) new_esEs27(x0, x1, ty_Double) new_esEs18([], :(x0, x1), x2) new_esEs17(False, False) new_esEs18(:(x0, x1), :(x2, x3), x4) new_esEs14(Left(x0), Right(x1), x2, x3) new_esEs14(Right(x0), Left(x1), x2, x3) new_esEs19(Nothing, Nothing, x0) new_asAs(False, x0) new_esEs23(x0, x1, ty_Double) new_esEs4(x0, x1, ty_Float) new_esEs14(Right(x0), Right(x1), x2, app(app(app(ty_@3, x3), x4), x5)) new_esEs25(x0, x1, ty_Bool) new_esEs24(x0, x1, ty_Double) new_esEs24(x0, x1, ty_Char) new_esEs24(x0, x1, app(ty_Maybe, x2)) new_primEqInt(Neg(Zero), Neg(Zero)) new_esEs27(x0, x1, app(app(ty_Either, x2), x3)) new_esEs25(x0, x1, app(ty_Ratio, x2)) new_esEs23(x0, x1, ty_Integer) new_esEs23(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs14(Left(x0), Left(x1), app(ty_Ratio, x2), x3) new_esEs25(x0, x1, ty_@0) new_esEs14(Right(x0), Right(x1), x2, ty_Float) new_esEs26(x0, x1, app(ty_Ratio, x2)) new_esEs12(Float(x0, x1), Float(x2, x3)) new_primPlusNat0(Succ(x0), x1) new_esEs22(x0, x1, app(ty_[], x2)) new_esEs5(x0, x1, app(app(ty_Either, x2), x3)) new_esEs24(x0, x1, app(app(ty_@2, x2), x3)) new_esEs5(x0, x1, ty_Int) new_esEs22(x0, x1, ty_@0) new_esEs22(x0, x1, ty_Double) new_esEs14(Right(x0), Right(x1), x2, ty_@0) new_primPlusNat1(Succ(x0), Zero) new_esEs25(x0, x1, ty_Double) new_esEs25(x0, x1, app(app(ty_@2, x2), x3)) new_esEs27(x0, x1, app(ty_Ratio, x2)) new_esEs5(x0, x1, ty_Char) new_esEs26(x0, x1, ty_Bool) new_esEs11(EQ, GT) new_esEs11(GT, EQ) new_esEs14(Right(x0), Right(x1), x2, app(app(ty_Either, x3), x4)) new_esEs27(x0, x1, ty_Float) new_esEs19(Just(x0), Just(x1), ty_Ordering) new_esEs22(x0, x1, ty_Int) new_esEs6(:%(x0, x1), :%(x2, x3), x4) new_primEqInt(Pos(Succ(x0)), Neg(x1)) new_primEqInt(Neg(Succ(x0)), Pos(x1)) new_esEs23(x0, x1, ty_Ordering) new_primEqInt(Pos(Zero), Neg(Zero)) new_primEqInt(Neg(Zero), Pos(Zero)) new_esEs4(x0, x1, app(app(ty_@2, x2), x3)) new_esEs22(x0, x1, app(ty_Ratio, x2)) new_esEs27(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs14(Left(x0), Left(x1), ty_Double, x2) new_esEs25(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs19(Just(x0), Just(x1), app(ty_[], x2)) new_esEs17(False, True) new_esEs17(True, False) new_esEs4(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs14(Left(x0), Left(x1), ty_Char, x2) new_esEs19(Just(x0), Just(x1), app(app(app(ty_@3, x2), x3), x4)) new_esEs5(x0, x1, app(ty_Ratio, x2)) new_sr(Pos(x0), Neg(x1)) new_sr(Neg(x0), Pos(x1)) new_esEs27(x0, x1, app(app(ty_@2, x2), x3)) new_esEs5(x0, x1, ty_Float) new_esEs11(EQ, EQ) new_esEs23(x0, x1, app(ty_[], x2)) new_esEs25(x0, x1, ty_Float) new_esEs26(x0, x1, app(ty_Maybe, x2)) new_esEs19(Just(x0), Just(x1), app(app(ty_Either, x2), x3)) new_esEs24(x0, x1, ty_Float) new_primEqInt(Neg(Succ(x0)), Neg(Zero)) new_esEs5(x0, x1, ty_@0) new_esEs14(Left(x0), Left(x1), app(ty_[], x2), x3) new_esEs18([], [], x0) new_esEs27(x0, x1, app(ty_[], x2)) new_esEs24(x0, x1, app(app(ty_Either, x2), x3)) new_primMulNat0(Succ(x0), Zero) new_esEs22(x0, x1, ty_Float) new_esEs7(x0, x1, ty_Integer) new_esEs14(Left(x0), Left(x1), ty_Bool, x2) new_primEqInt(Pos(Zero), Neg(Succ(x0))) new_primEqInt(Neg(Zero), Pos(Succ(x0))) new_esEs15(Double(x0, x1), Double(x2, x3)) new_esEs4(x0, x1, ty_@0) new_esEs20(Char(x0), Char(x1)) new_esEs24(x0, x1, app(ty_Ratio, x2)) new_esEs22(x0, x1, ty_Char) new_esEs25(x0, x1, ty_Int) new_esEs24(x0, x1, ty_Bool) new_esEs4(x0, x1, app(ty_Maybe, x2)) new_esEs4(x0, x1, ty_Bool) new_esEs14(Left(x0), Left(x1), app(ty_Maybe, x2), x3) new_esEs14(Right(x0), Right(x1), x2, app(ty_Ratio, x3)) new_esEs10(x0, x1) new_primMulNat0(Succ(x0), Succ(x1)) new_esEs23(x0, x1, ty_@0) new_primEqNat0(Succ(x0), Succ(x1)) new_esEs24(x0, x1, ty_@0) new_primEqInt(Pos(Succ(x0)), Pos(Succ(x1))) new_esEs25(x0, x1, ty_Char) new_esEs8(x0, x1, ty_Int) new_primEqNat0(Succ(x0), Zero) new_primEqInt(Pos(Zero), Pos(Succ(x0))) new_esEs25(x0, x1, app(ty_Maybe, x2)) new_esEs26(x0, x1, ty_Ordering) new_esEs24(x0, x1, app(ty_[], x2)) new_esEs14(Right(x0), Right(x1), x2, ty_Int) new_esEs23(x0, x1, ty_Bool) new_esEs11(LT, GT) new_esEs11(GT, LT) new_esEs27(x0, x1, ty_Char) new_esEs14(Left(x0), Left(x1), ty_@0, x2) new_esEs14(Right(x0), Right(x1), x2, app(app(ty_@2, x3), x4)) new_esEs27(x0, x1, ty_@0) new_esEs19(Nothing, Just(x0), x1) new_esEs19(Just(x0), Nothing, x1) new_esEs23(x0, x1, ty_Char) new_esEs27(x0, x1, ty_Int) new_esEs26(x0, x1, ty_Double) new_primEqNat0(Zero, Succ(x0)) new_esEs19(Just(x0), Just(x1), app(app(ty_@2, x2), x3)) new_esEs11(LT, EQ) new_esEs11(EQ, LT) new_esEs14(Left(x0), Left(x1), ty_Integer, x2) new_esEs5(x0, x1, ty_Bool) new_esEs14(Right(x0), Right(x1), x2, ty_Char) new_esEs4(x0, x1, ty_Integer) new_esEs26(x0, x1, ty_Char) new_esEs26(x0, x1, ty_Int) new_esEs24(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs22(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs11(GT, GT) new_esEs23(x0, x1, app(app(ty_Either, x2), x3)) new_primEqInt(Neg(Succ(x0)), Neg(Succ(x1))) new_esEs4(x0, x1, app(ty_[], x2)) new_primMulNat0(Zero, Succ(x0)) new_sr(Pos(x0), Pos(x1)) new_primEqNat0(Zero, Zero) new_esEs5(x0, x1, app(app(ty_@2, x2), x3)) new_esEs22(x0, x1, ty_Bool) new_esEs4(x0, x1, app(app(ty_Either, x2), x3)) new_esEs14(Right(x0), Right(x1), x2, ty_Ordering) new_esEs4(x0, x1, ty_Char) new_esEs22(x0, x1, ty_Ordering) new_esEs27(x0, x1, ty_Ordering) new_esEs19(Just(x0), Just(x1), ty_Float) new_esEs14(Right(x0), Right(x1), x2, ty_Double) new_esEs19(Just(x0), Just(x1), ty_Bool) new_esEs26(x0, x1, ty_@0) new_esEs5(x0, x1, ty_Integer) new_sr(Neg(x0), Neg(x1)) new_asAs(True, x0) new_esEs27(x0, x1, ty_Bool) new_esEs4(x0, x1, ty_Int) new_esEs11(LT, LT) new_esEs26(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs26(x0, x1, ty_Float) new_esEs26(x0, x1, app(ty_[], x2)) new_esEs23(x0, x1, app(ty_Maybe, x2)) new_esEs23(x0, x1, app(ty_Ratio, x2)) new_esEs27(x0, x1, ty_Integer) new_esEs23(x0, x1, ty_Int) new_esEs7(x0, x1, ty_Int) new_esEs19(Just(x0), Just(x1), ty_@0) new_esEs25(x0, x1, app(app(ty_Either, x2), x3)) new_esEs14(Right(x0), Right(x1), x2, ty_Bool) new_esEs14(Right(x0), Right(x1), x2, app(ty_Maybe, x3)) new_esEs19(Just(x0), Just(x1), app(ty_Maybe, x2)) new_esEs24(x0, x1, ty_Integer) new_esEs14(Right(x0), Right(x1), x2, ty_Integer) new_esEs25(x0, x1, app(ty_[], x2)) new_esEs5(x0, x1, app(ty_[], x2)) new_esEs23(x0, x1, app(app(ty_@2, x2), x3)) new_esEs19(Just(x0), Just(x1), ty_Int) new_esEs14(Left(x0), Left(x1), app(app(ty_@2, x2), x3), x4) new_esEs5(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_primPlusNat0(Zero, x0) new_esEs19(Just(x0), Just(x1), ty_Char) new_primPlusNat1(Zero, Succ(x0)) new_esEs8(x0, x1, ty_Integer) new_esEs16(@0, @0) new_esEs22(x0, x1, ty_Integer) new_esEs18(:(x0, x1), [], x2) new_esEs25(x0, x1, ty_Ordering) new_esEs4(x0, x1, ty_Double) new_esEs5(x0, x1, ty_Ordering) new_primEqInt(Neg(Zero), Neg(Succ(x0))) new_esEs22(x0, x1, app(app(ty_@2, x2), x3)) new_esEs23(x0, x1, ty_Float) new_esEs4(x0, x1, app(ty_Ratio, x2)) new_esEs19(Just(x0), Just(x1), ty_Double) new_esEs13(@3(x0, x1, x2), @3(x3, x4, x5), x6, x7, x8) new_esEs26(x0, x1, app(app(ty_Either, x2), x3)) 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_lookup(Right(yu30), :(@2(Right(yu4000), yu401), yu41), bc, bd, be) -> new_lookup10(yu30, yu4000, yu401, yu41, new_esEs5(yu30, yu4000, be), bc, bd, be) The graph contains the following edges 1 > 1, 2 > 2, 2 > 3, 2 > 4, 3 >= 6, 4 >= 7, 5 >= 8 *new_lookup(Right(yu30), :(@2(Left(yu4000), yu401), yu41), bc, bd, be) -> new_lookup(Right(yu30), yu41, bc, bd, be) The graph contains the following edges 1 >= 1, 2 > 2, 3 >= 3, 4 >= 4, 5 >= 5 *new_lookup10(yu22, yu23, yu24, yu25, False, bf, bg, bh) -> new_lookup(Right(yu22), yu25, bf, bg, bh) The graph contains the following edges 4 >= 2, 6 >= 3, 7 >= 4, 8 >= 5 ---------------------------------------- (15) YES ---------------------------------------- (16) Obligation: Q DP problem: The TRS P consists of the following rules: new_lookup1(yu11, yu12, yu13, yu14, False, h, ba, bb) -> new_lookup(Left(yu11), yu14, h, ba, bb) new_lookup(Left(yu30), :(@2(Left(yu4000), yu401), yu41), bc, bd, be) -> new_lookup1(yu30, yu4000, yu401, yu41, new_esEs4(yu30, yu4000, bd), bc, bd, be) new_lookup(Left(yu30), :(@2(Right(yu4000), yu401), yu41), bc, bd, be) -> new_lookup(Left(yu30), yu41, bc, bd, be) The TRS R consists of the following rules: new_esEs27(yu301, yu40001, ty_Double) -> new_esEs15(yu301, yu40001) new_esEs14(Left(yu300), Left(yu40000), app(app(ty_Either, bcc), bcd), bbc) -> new_esEs14(yu300, yu40000, bcc, bcd) new_primEqInt(Pos(Zero), Pos(Zero)) -> True new_esEs19(Just(yu300), Just(yu40000), app(ty_Ratio, bgg)) -> new_esEs6(yu300, yu40000, bgg) new_esEs27(yu301, yu40001, app(app(app(ty_@3, bff), bfg), bfh)) -> new_esEs13(yu301, yu40001, bff, bfg, bfh) new_esEs11(LT, EQ) -> False new_esEs11(EQ, LT) -> False new_esEs27(yu301, yu40001, ty_@0) -> new_esEs16(yu301, yu40001) new_esEs5(yu30, yu4000, ty_Ordering) -> new_esEs11(yu30, yu4000) new_esEs4(yu30, yu4000, ty_Integer) -> new_esEs9(yu30, yu4000) new_esEs24(yu302, yu40002, app(app(ty_@2, he), hf)) -> new_esEs21(yu302, yu40002, he, hf) new_esEs24(yu302, yu40002, app(ty_Maybe, hd)) -> new_esEs19(yu302, yu40002, hd) new_esEs26(yu300, yu40000, ty_Ordering) -> new_esEs11(yu300, yu40000) new_esEs13(@3(yu300, yu301, yu302), @3(yu40000, yu40001, yu40002), de, df, dg) -> new_asAs(new_esEs22(yu300, yu40000, de), new_asAs(new_esEs23(yu301, yu40001, df), new_esEs24(yu302, yu40002, dg))) new_esEs23(yu301, yu40001, ty_Integer) -> new_esEs9(yu301, yu40001) new_esEs24(yu302, yu40002, ty_Ordering) -> new_esEs11(yu302, yu40002) new_esEs19(Nothing, Just(yu40000), bbd) -> False new_esEs19(Just(yu300), Nothing, bbd) -> False new_esEs19(Nothing, Nothing, bbd) -> True new_esEs26(yu300, yu40000, app(ty_[], bfa)) -> new_esEs18(yu300, yu40000, bfa) new_esEs14(Left(yu300), Left(yu40000), ty_Double, bbc) -> new_esEs15(yu300, yu40000) new_esEs11(LT, GT) -> False new_esEs11(GT, LT) -> False new_esEs14(Right(yu300), Right(yu40000), bbb, ty_Bool) -> new_esEs17(yu300, yu40000) new_esEs20(Char(yu300), Char(yu40000)) -> new_primEqNat0(yu300, yu40000) new_esEs27(yu301, yu40001, app(ty_Ratio, bfe)) -> new_esEs6(yu301, yu40001, bfe) new_esEs14(Left(yu300), Left(yu40000), app(ty_Ratio, bbg), bbc) -> new_esEs6(yu300, yu40000, bbg) new_esEs5(yu30, yu4000, ty_Char) -> new_esEs20(yu30, yu4000) new_asAs(True, yu39) -> yu39 new_esEs19(Just(yu300), Just(yu40000), ty_Integer) -> new_esEs9(yu300, yu40000) new_esEs5(yu30, yu4000, app(app(ty_Either, cf), cg)) -> new_esEs14(yu30, yu4000, cf, cg) new_esEs25(yu300, yu40000, app(app(app(ty_@3, baa), bab), bac)) -> new_esEs13(yu300, yu40000, baa, bab, bac) new_esEs26(yu300, yu40000, app(app(ty_@2, bfc), bfd)) -> new_esEs21(yu300, yu40000, bfc, bfd) new_esEs17(False, True) -> False new_esEs17(True, False) -> False new_esEs22(yu300, yu40000, ty_Ordering) -> new_esEs11(yu300, yu40000) new_primEqInt(Pos(Succ(yu3000)), Pos(Zero)) -> False new_primEqInt(Pos(Zero), Pos(Succ(yu400000))) -> False new_esEs4(yu30, yu4000, ty_Double) -> new_esEs15(yu30, yu4000) new_esEs5(yu30, yu4000, app(app(ty_@2, dc), dd)) -> new_esEs21(yu30, yu4000, dc, dd) new_esEs25(yu300, yu40000, ty_Double) -> new_esEs15(yu300, yu40000) new_esEs23(yu301, yu40001, ty_@0) -> new_esEs16(yu301, yu40001) new_esEs22(yu300, yu40000, app(ty_Maybe, eg)) -> new_esEs19(yu300, yu40000, eg) new_esEs26(yu300, yu40000, app(app(ty_Either, beg), beh)) -> new_esEs14(yu300, yu40000, beg, beh) new_esEs16(@0, @0) -> True new_esEs26(yu300, yu40000, ty_Char) -> new_esEs20(yu300, yu40000) new_esEs27(yu301, yu40001, ty_Integer) -> new_esEs9(yu301, yu40001) new_esEs4(yu30, yu4000, app(app(app(ty_@3, de), df), dg)) -> new_esEs13(yu30, yu4000, de, df, dg) new_primEqNat0(Succ(yu3000), Succ(yu400000)) -> new_primEqNat0(yu3000, yu400000) new_esEs19(Just(yu300), Just(yu40000), ty_@0) -> new_esEs16(yu300, yu40000) new_esEs18([], [], hg) -> True new_esEs22(yu300, yu40000, ty_Bool) -> new_esEs17(yu300, yu40000) new_esEs14(Left(yu300), Left(yu40000), ty_@0, bbc) -> new_esEs16(yu300, yu40000) new_esEs4(yu30, yu4000, ty_Float) -> new_esEs12(yu30, yu4000) new_primMulNat0(Zero, Zero) -> Zero new_esEs14(Left(yu300), Left(yu40000), app(ty_[], bce), bbc) -> new_esEs18(yu300, yu40000, bce) new_esEs19(Just(yu300), Just(yu40000), ty_Int) -> new_esEs10(yu300, yu40000) new_esEs23(yu301, yu40001, app(app(app(ty_@3, fc), fd), ff)) -> new_esEs13(yu301, yu40001, fc, fd, ff) new_esEs27(yu301, yu40001, ty_Bool) -> new_esEs17(yu301, yu40001) new_esEs5(yu30, yu4000, ty_Int) -> new_esEs10(yu30, yu4000) new_esEs4(yu30, yu4000, app(ty_[], hg)) -> new_esEs18(yu30, yu4000, hg) new_esEs14(Right(yu300), Right(yu40000), bbb, ty_Ordering) -> new_esEs11(yu300, yu40000) new_esEs14(Right(yu300), Right(yu40000), bbb, app(app(app(ty_@3, bdb), bdc), bdd)) -> new_esEs13(yu300, yu40000, bdb, bdc, bdd) new_esEs11(EQ, GT) -> False new_esEs11(GT, EQ) -> False new_esEs24(yu302, yu40002, ty_Char) -> new_esEs20(yu302, yu40002) new_primEqNat0(Succ(yu3000), Zero) -> False new_primEqNat0(Zero, Succ(yu400000)) -> False new_esEs24(yu302, yu40002, app(app(app(ty_@3, gf), gg), gh)) -> new_esEs13(yu302, yu40002, gf, gg, gh) new_esEs24(yu302, yu40002, app(app(ty_Either, ha), hb)) -> new_esEs14(yu302, yu40002, ha, hb) new_esEs9(Integer(yu300), Integer(yu40000)) -> new_primEqInt(yu300, yu40000) new_esEs14(Right(yu300), Right(yu40000), bbb, ty_@0) -> new_esEs16(yu300, yu40000) new_esEs22(yu300, yu40000, ty_Float) -> new_esEs12(yu300, yu40000) new_esEs27(yu301, yu40001, ty_Int) -> new_esEs10(yu301, yu40001) new_esEs22(yu300, yu40000, ty_Double) -> new_esEs15(yu300, yu40000) new_esEs27(yu301, yu40001, app(app(ty_@2, bge), bgf)) -> new_esEs21(yu301, yu40001, bge, bgf) new_esEs22(yu300, yu40000, app(ty_[], ef)) -> new_esEs18(yu300, yu40000, ef) new_esEs26(yu300, yu40000, ty_Float) -> new_esEs12(yu300, yu40000) new_esEs14(Left(yu300), Left(yu40000), ty_Bool, bbc) -> new_esEs17(yu300, yu40000) new_esEs12(Float(yu300, yu301), Float(yu40000, yu40001)) -> new_esEs10(new_sr(yu300, yu40001), new_sr(yu301, yu40000)) new_esEs23(yu301, yu40001, ty_Int) -> new_esEs10(yu301, yu40001) new_esEs25(yu300, yu40000, ty_Char) -> new_esEs20(yu300, yu40000) new_esEs5(yu30, yu4000, app(app(app(ty_@3, cc), cd), ce)) -> new_esEs13(yu30, yu4000, cc, cd, ce) new_esEs25(yu300, yu40000, app(app(ty_Either, bad), bae)) -> new_esEs14(yu300, yu40000, bad, bae) new_primEqInt(Neg(Succ(yu3000)), Neg(Zero)) -> False new_primEqInt(Neg(Zero), Neg(Succ(yu400000))) -> False new_esEs11(GT, GT) -> True new_primEqInt(Pos(Succ(yu3000)), Pos(Succ(yu400000))) -> new_primEqNat0(yu3000, yu400000) new_esEs15(Double(yu300, yu301), Double(yu40000, yu40001)) -> new_esEs10(new_sr(yu300, yu40001), new_sr(yu301, yu40000)) new_esEs22(yu300, yu40000, ty_Int) -> new_esEs10(yu300, yu40000) new_esEs4(yu30, yu4000, ty_@0) -> new_esEs16(yu30, yu4000) new_esEs14(Right(yu300), Right(yu40000), bbb, app(ty_Ratio, bda)) -> new_esEs6(yu300, yu40000, bda) new_esEs27(yu301, yu40001, ty_Float) -> new_esEs12(yu301, yu40001) new_esEs11(EQ, EQ) -> True new_esEs5(yu30, yu4000, app(ty_Maybe, db)) -> new_esEs19(yu30, yu4000, db) new_sr(Pos(yu3000), Neg(yu400010)) -> Neg(new_primMulNat0(yu3000, yu400010)) new_sr(Neg(yu3000), Pos(yu400010)) -> Neg(new_primMulNat0(yu3000, yu400010)) new_esEs22(yu300, yu40000, app(app(ty_@2, eh), fa)) -> new_esEs21(yu300, yu40000, eh, fa) new_esEs14(Right(yu300), Right(yu40000), bbb, ty_Double) -> new_esEs15(yu300, yu40000) new_esEs14(Left(yu300), Left(yu40000), ty_Ordering, bbc) -> new_esEs11(yu300, yu40000) new_primPlusNat1(Succ(yu4000), Succ(yu40001000)) -> Succ(Succ(new_primPlusNat1(yu4000, yu40001000))) new_primEqInt(Pos(Succ(yu3000)), Neg(yu40000)) -> False new_primEqInt(Neg(Succ(yu3000)), Pos(yu40000)) -> False new_esEs4(yu30, yu4000, app(app(ty_@2, bbe), bbf)) -> new_esEs21(yu30, yu4000, bbe, bbf) new_esEs23(yu301, yu40001, app(ty_Maybe, gb)) -> new_esEs19(yu301, yu40001, gb) new_esEs25(yu300, yu40000, app(ty_Ratio, hh)) -> new_esEs6(yu300, yu40000, hh) new_esEs26(yu300, yu40000, ty_Bool) -> new_esEs17(yu300, yu40000) new_esEs19(Just(yu300), Just(yu40000), app(app(app(ty_@3, bgh), bha), bhb)) -> new_esEs13(yu300, yu40000, bgh, bha, bhb) new_esEs4(yu30, yu4000, ty_Int) -> new_esEs10(yu30, yu4000) new_esEs14(Right(yu300), Right(yu40000), bbb, ty_Float) -> new_esEs12(yu300, yu40000) new_esEs22(yu300, yu40000, ty_@0) -> new_esEs16(yu300, yu40000) new_esEs25(yu300, yu40000, ty_Ordering) -> new_esEs11(yu300, yu40000) new_esEs4(yu30, yu4000, app(ty_Maybe, bbd)) -> new_esEs19(yu30, yu4000, bbd) new_esEs23(yu301, yu40001, app(app(ty_@2, gc), gd)) -> new_esEs21(yu301, yu40001, gc, gd) new_esEs17(True, True) -> True new_esEs27(yu301, yu40001, app(app(ty_Either, bga), bgb)) -> new_esEs14(yu301, yu40001, bga, bgb) new_esEs14(Right(yu300), Right(yu40000), bbb, ty_Int) -> new_esEs10(yu300, yu40000) new_esEs27(yu301, yu40001, app(ty_[], bgc)) -> new_esEs18(yu301, yu40001, bgc) new_esEs26(yu300, yu40000, app(ty_Ratio, bec)) -> new_esEs6(yu300, yu40000, bec) new_esEs27(yu301, yu40001, ty_Char) -> new_esEs20(yu301, yu40001) new_sr(Neg(yu3000), Neg(yu400010)) -> Pos(new_primMulNat0(yu3000, yu400010)) new_esEs5(yu30, yu4000, app(ty_Ratio, cb)) -> new_esEs6(yu30, yu4000, cb) new_esEs14(Right(yu300), Right(yu40000), bbb, app(ty_Maybe, bdh)) -> new_esEs19(yu300, yu40000, bdh) new_esEs14(Left(yu300), Left(yu40000), ty_Int, bbc) -> new_esEs10(yu300, yu40000) new_esEs23(yu301, yu40001, ty_Bool) -> new_esEs17(yu301, yu40001) new_esEs25(yu300, yu40000, app(ty_Maybe, bag)) -> new_esEs19(yu300, yu40000, bag) new_primEqInt(Pos(Zero), Neg(Succ(yu400000))) -> False new_primEqInt(Neg(Zero), Pos(Succ(yu400000))) -> False new_esEs19(Just(yu300), Just(yu40000), app(ty_Maybe, bhf)) -> new_esEs19(yu300, yu40000, bhf) new_esEs23(yu301, yu40001, ty_Ordering) -> new_esEs11(yu301, yu40001) new_esEs14(Left(yu300), Left(yu40000), ty_Float, bbc) -> new_esEs12(yu300, yu40000) new_esEs27(yu301, yu40001, ty_Ordering) -> new_esEs11(yu301, yu40001) new_esEs26(yu300, yu40000, ty_Double) -> new_esEs15(yu300, yu40000) new_esEs5(yu30, yu4000, ty_Integer) -> new_esEs9(yu30, yu4000) new_esEs22(yu300, yu40000, ty_Integer) -> new_esEs9(yu300, yu40000) new_esEs24(yu302, yu40002, ty_@0) -> new_esEs16(yu302, yu40002) new_esEs14(Right(yu300), Right(yu40000), bbb, app(app(ty_@2, bea), beb)) -> new_esEs21(yu300, yu40000, bea, beb) new_esEs5(yu30, yu4000, ty_Double) -> new_esEs15(yu30, yu4000) new_esEs19(Just(yu300), Just(yu40000), app(app(ty_@2, bhg), bhh)) -> new_esEs21(yu300, yu40000, bhg, bhh) new_esEs14(Right(yu300), Right(yu40000), bbb, ty_Integer) -> new_esEs9(yu300, yu40000) new_esEs8(yu301, yu40001, ty_Int) -> new_esEs10(yu301, yu40001) new_primEqInt(Neg(Succ(yu3000)), Neg(Succ(yu400000))) -> new_primEqNat0(yu3000, yu400000) new_esEs14(Right(yu300), Right(yu40000), bbb, app(app(ty_Either, bde), bdf)) -> new_esEs14(yu300, yu40000, bde, bdf) new_primPlusNat0(Succ(yu400), yu4000100) -> Succ(Succ(new_primPlusNat1(yu400, yu4000100))) new_esEs4(yu30, yu4000, ty_Bool) -> new_esEs17(yu30, yu4000) new_esEs24(yu302, yu40002, app(ty_Ratio, ge)) -> new_esEs6(yu302, yu40002, ge) new_esEs25(yu300, yu40000, ty_Float) -> new_esEs12(yu300, yu40000) new_esEs25(yu300, yu40000, app(ty_[], baf)) -> new_esEs18(yu300, yu40000, baf) new_esEs19(Just(yu300), Just(yu40000), ty_Char) -> new_esEs20(yu300, yu40000) new_esEs24(yu302, yu40002, ty_Int) -> new_esEs10(yu302, yu40002) new_esEs10(yu30, yu4000) -> new_primEqInt(yu30, yu4000) new_esEs27(yu301, yu40001, app(ty_Maybe, bgd)) -> new_esEs19(yu301, yu40001, bgd) new_esEs4(yu30, yu4000, ty_Ordering) -> new_esEs11(yu30, yu4000) new_esEs25(yu300, yu40000, ty_Bool) -> new_esEs17(yu300, yu40000) new_esEs14(Left(yu300), Left(yu40000), ty_Char, bbc) -> new_esEs20(yu300, yu40000) new_primPlusNat1(Zero, Zero) -> Zero new_primMulNat0(Succ(yu30000), Zero) -> Zero new_primMulNat0(Zero, Succ(yu4000100)) -> Zero new_sr(Pos(yu3000), Pos(yu400010)) -> Pos(new_primMulNat0(yu3000, yu400010)) new_primPlusNat0(Zero, yu4000100) -> Succ(yu4000100) new_esEs24(yu302, yu40002, ty_Integer) -> new_esEs9(yu302, yu40002) new_esEs18(:(yu300, yu301), :(yu40000, yu40001), hg) -> new_asAs(new_esEs25(yu300, yu40000, hg), new_esEs18(yu301, yu40001, hg)) new_esEs5(yu30, yu4000, ty_@0) -> new_esEs16(yu30, yu4000) new_esEs6(:%(yu300, yu301), :%(yu40000, yu40001), ca) -> new_asAs(new_esEs7(yu300, yu40000, ca), new_esEs8(yu301, yu40001, ca)) new_esEs26(yu300, yu40000, ty_@0) -> new_esEs16(yu300, yu40000) new_esEs19(Just(yu300), Just(yu40000), app(app(ty_Either, bhc), bhd)) -> new_esEs14(yu300, yu40000, bhc, bhd) new_esEs18(:(yu300, yu301), [], hg) -> False new_esEs18([], :(yu40000, yu40001), hg) -> False new_esEs14(Right(yu300), Right(yu40000), bbb, app(ty_[], bdg)) -> new_esEs18(yu300, yu40000, bdg) new_esEs25(yu300, yu40000, ty_Int) -> new_esEs10(yu300, yu40000) new_primEqInt(Neg(Zero), Neg(Zero)) -> True new_esEs23(yu301, yu40001, ty_Char) -> new_esEs20(yu301, yu40001) new_esEs11(LT, LT) -> True new_esEs22(yu300, yu40000, app(app(app(ty_@3, ea), eb), ec)) -> new_esEs13(yu300, yu40000, ea, eb, ec) new_esEs17(False, False) -> True new_primMulNat0(Succ(yu30000), Succ(yu4000100)) -> new_primPlusNat0(new_primMulNat0(yu30000, Succ(yu4000100)), yu4000100) new_esEs23(yu301, yu40001, app(app(ty_Either, fg), fh)) -> new_esEs14(yu301, yu40001, fg, fh) new_esEs23(yu301, yu40001, ty_Float) -> new_esEs12(yu301, yu40001) new_esEs8(yu301, yu40001, ty_Integer) -> new_esEs9(yu301, yu40001) new_esEs23(yu301, yu40001, ty_Double) -> new_esEs15(yu301, yu40001) new_esEs23(yu301, yu40001, app(ty_[], ga)) -> new_esEs18(yu301, yu40001, ga) new_esEs22(yu300, yu40000, app(ty_Ratio, dh)) -> new_esEs6(yu300, yu40000, dh) new_esEs4(yu30, yu4000, ty_Char) -> new_esEs20(yu30, yu4000) new_primPlusNat1(Succ(yu4000), Zero) -> Succ(yu4000) new_primPlusNat1(Zero, Succ(yu40001000)) -> Succ(yu40001000) new_esEs21(@2(yu300, yu301), @2(yu40000, yu40001), bbe, bbf) -> new_asAs(new_esEs26(yu300, yu40000, bbe), new_esEs27(yu301, yu40001, bbf)) new_esEs26(yu300, yu40000, ty_Int) -> new_esEs10(yu300, yu40000) new_esEs14(Left(yu300), Left(yu40000), app(app(app(ty_@3, bbh), bca), bcb), bbc) -> new_esEs13(yu300, yu40000, bbh, bca, bcb) new_primEqInt(Pos(Zero), Neg(Zero)) -> True new_primEqInt(Neg(Zero), Pos(Zero)) -> True new_esEs14(Left(yu300), Left(yu40000), app(app(ty_@2, bcg), bch), bbc) -> new_esEs21(yu300, yu40000, bcg, bch) new_esEs14(Right(yu300), Right(yu40000), bbb, ty_Char) -> new_esEs20(yu300, yu40000) new_esEs26(yu300, yu40000, ty_Integer) -> new_esEs9(yu300, yu40000) new_esEs5(yu30, yu4000, ty_Float) -> new_esEs12(yu30, yu4000) new_esEs5(yu30, yu4000, app(ty_[], da)) -> new_esEs18(yu30, yu4000, da) new_esEs23(yu301, yu40001, app(ty_Ratio, fb)) -> new_esEs6(yu301, yu40001, fb) new_esEs14(Left(yu300), Left(yu40000), ty_Integer, bbc) -> new_esEs9(yu300, yu40000) new_esEs26(yu300, yu40000, app(ty_Maybe, bfb)) -> new_esEs19(yu300, yu40000, bfb) new_esEs19(Just(yu300), Just(yu40000), app(ty_[], bhe)) -> new_esEs18(yu300, yu40000, bhe) new_esEs24(yu302, yu40002, ty_Bool) -> new_esEs17(yu302, yu40002) new_primEqNat0(Zero, Zero) -> True new_esEs19(Just(yu300), Just(yu40000), ty_Double) -> new_esEs15(yu300, yu40000) new_esEs19(Just(yu300), Just(yu40000), ty_Float) -> new_esEs12(yu300, yu40000) new_asAs(False, yu39) -> False new_esEs25(yu300, yu40000, ty_Integer) -> new_esEs9(yu300, yu40000) new_esEs4(yu30, yu4000, app(app(ty_Either, bbb), bbc)) -> new_esEs14(yu30, yu4000, bbb, bbc) new_esEs25(yu300, yu40000, ty_@0) -> new_esEs16(yu300, yu40000) new_esEs14(Left(yu300), Right(yu40000), bbb, bbc) -> False new_esEs14(Right(yu300), Left(yu40000), bbb, bbc) -> False new_esEs7(yu300, yu40000, ty_Int) -> new_esEs10(yu300, yu40000) new_esEs26(yu300, yu40000, app(app(app(ty_@3, bed), bee), bef)) -> new_esEs13(yu300, yu40000, bed, bee, bef) new_esEs19(Just(yu300), Just(yu40000), ty_Bool) -> new_esEs17(yu300, yu40000) new_esEs24(yu302, yu40002, ty_Double) -> new_esEs15(yu302, yu40002) new_esEs4(yu30, yu4000, app(ty_Ratio, ca)) -> new_esEs6(yu30, yu4000, ca) new_esEs22(yu300, yu40000, app(app(ty_Either, ed), ee)) -> new_esEs14(yu300, yu40000, ed, ee) new_esEs22(yu300, yu40000, ty_Char) -> new_esEs20(yu300, yu40000) new_esEs25(yu300, yu40000, app(app(ty_@2, bah), bba)) -> new_esEs21(yu300, yu40000, bah, bba) new_esEs14(Left(yu300), Left(yu40000), app(ty_Maybe, bcf), bbc) -> new_esEs19(yu300, yu40000, bcf) new_esEs5(yu30, yu4000, ty_Bool) -> new_esEs17(yu30, yu4000) new_esEs24(yu302, yu40002, ty_Float) -> new_esEs12(yu302, yu40002) new_esEs7(yu300, yu40000, ty_Integer) -> new_esEs9(yu300, yu40000) new_esEs19(Just(yu300), Just(yu40000), ty_Ordering) -> new_esEs11(yu300, yu40000) new_esEs24(yu302, yu40002, app(ty_[], hc)) -> new_esEs18(yu302, yu40002, hc) The set Q consists of the following terms: new_esEs26(x0, x1, ty_Integer) new_esEs14(Left(x0), Left(x1), ty_Int, x2) new_esEs14(Left(x0), Left(x1), app(app(app(ty_@3, x2), x3), x4), x5) new_esEs25(x0, x1, ty_Integer) new_esEs19(Just(x0), Just(x1), app(ty_Ratio, x2)) new_esEs22(x0, x1, app(ty_Maybe, x2)) new_primMulNat0(Zero, Zero) new_esEs24(x0, x1, ty_Int) new_primPlusNat1(Zero, Zero) new_primEqInt(Pos(Succ(x0)), Pos(Zero)) new_esEs5(x0, x1, app(ty_Maybe, x2)) new_esEs24(x0, x1, ty_Ordering) new_esEs4(x0, x1, ty_Ordering) new_esEs9(Integer(x0), Integer(x1)) new_esEs14(Left(x0), Left(x1), app(app(ty_Either, x2), x3), x4) new_esEs5(x0, x1, ty_Double) new_esEs21(@2(x0, x1), @2(x2, x3), x4, x5) new_esEs14(Left(x0), Left(x1), ty_Float, x2) new_esEs17(True, True) new_esEs19(Just(x0), Just(x1), ty_Integer) new_esEs27(x0, x1, app(ty_Maybe, x2)) new_esEs22(x0, x1, app(app(ty_Either, x2), x3)) new_esEs26(x0, x1, app(app(ty_@2, x2), x3)) new_primEqInt(Pos(Zero), Pos(Zero)) new_primPlusNat1(Succ(x0), Succ(x1)) new_esEs14(Right(x0), Right(x1), x2, app(ty_[], x3)) new_esEs14(Left(x0), Left(x1), ty_Ordering, x2) new_esEs27(x0, x1, ty_Double) new_esEs18([], :(x0, x1), x2) new_esEs17(False, False) new_esEs18(:(x0, x1), :(x2, x3), x4) new_esEs14(Left(x0), Right(x1), x2, x3) new_esEs14(Right(x0), Left(x1), x2, x3) new_esEs19(Nothing, Nothing, x0) new_asAs(False, x0) new_esEs23(x0, x1, ty_Double) new_esEs4(x0, x1, ty_Float) new_esEs14(Right(x0), Right(x1), x2, app(app(app(ty_@3, x3), x4), x5)) new_esEs25(x0, x1, ty_Bool) new_esEs24(x0, x1, ty_Double) new_esEs24(x0, x1, ty_Char) new_esEs24(x0, x1, app(ty_Maybe, x2)) new_primEqInt(Neg(Zero), Neg(Zero)) new_esEs27(x0, x1, app(app(ty_Either, x2), x3)) new_esEs25(x0, x1, app(ty_Ratio, x2)) new_esEs23(x0, x1, ty_Integer) new_esEs23(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs14(Left(x0), Left(x1), app(ty_Ratio, x2), x3) new_esEs25(x0, x1, ty_@0) new_esEs14(Right(x0), Right(x1), x2, ty_Float) new_esEs26(x0, x1, app(ty_Ratio, x2)) new_esEs12(Float(x0, x1), Float(x2, x3)) new_primPlusNat0(Succ(x0), x1) new_esEs22(x0, x1, app(ty_[], x2)) new_esEs5(x0, x1, app(app(ty_Either, x2), x3)) new_esEs24(x0, x1, app(app(ty_@2, x2), x3)) new_esEs5(x0, x1, ty_Int) new_esEs22(x0, x1, ty_@0) new_esEs22(x0, x1, ty_Double) new_esEs14(Right(x0), Right(x1), x2, ty_@0) new_primPlusNat1(Succ(x0), Zero) new_esEs25(x0, x1, ty_Double) new_esEs25(x0, x1, app(app(ty_@2, x2), x3)) new_esEs27(x0, x1, app(ty_Ratio, x2)) new_esEs5(x0, x1, ty_Char) new_esEs26(x0, x1, ty_Bool) new_esEs11(EQ, GT) new_esEs11(GT, EQ) new_esEs14(Right(x0), Right(x1), x2, app(app(ty_Either, x3), x4)) new_esEs27(x0, x1, ty_Float) new_esEs19(Just(x0), Just(x1), ty_Ordering) new_esEs22(x0, x1, ty_Int) new_esEs6(:%(x0, x1), :%(x2, x3), x4) new_primEqInt(Pos(Succ(x0)), Neg(x1)) new_primEqInt(Neg(Succ(x0)), Pos(x1)) new_esEs23(x0, x1, ty_Ordering) new_primEqInt(Pos(Zero), Neg(Zero)) new_primEqInt(Neg(Zero), Pos(Zero)) new_esEs4(x0, x1, app(app(ty_@2, x2), x3)) new_esEs22(x0, x1, app(ty_Ratio, x2)) new_esEs27(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs14(Left(x0), Left(x1), ty_Double, x2) new_esEs25(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs19(Just(x0), Just(x1), app(ty_[], x2)) new_esEs17(False, True) new_esEs17(True, False) new_esEs4(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs14(Left(x0), Left(x1), ty_Char, x2) new_esEs19(Just(x0), Just(x1), app(app(app(ty_@3, x2), x3), x4)) new_esEs5(x0, x1, app(ty_Ratio, x2)) new_sr(Pos(x0), Neg(x1)) new_sr(Neg(x0), Pos(x1)) new_esEs27(x0, x1, app(app(ty_@2, x2), x3)) new_esEs5(x0, x1, ty_Float) new_esEs11(EQ, EQ) new_esEs23(x0, x1, app(ty_[], x2)) new_esEs25(x0, x1, ty_Float) new_esEs26(x0, x1, app(ty_Maybe, x2)) new_esEs19(Just(x0), Just(x1), app(app(ty_Either, x2), x3)) new_esEs24(x0, x1, ty_Float) new_primEqInt(Neg(Succ(x0)), Neg(Zero)) new_esEs5(x0, x1, ty_@0) new_esEs14(Left(x0), Left(x1), app(ty_[], x2), x3) new_esEs18([], [], x0) new_esEs27(x0, x1, app(ty_[], x2)) new_esEs24(x0, x1, app(app(ty_Either, x2), x3)) new_primMulNat0(Succ(x0), Zero) new_esEs22(x0, x1, ty_Float) new_esEs7(x0, x1, ty_Integer) new_esEs14(Left(x0), Left(x1), ty_Bool, x2) new_primEqInt(Pos(Zero), Neg(Succ(x0))) new_primEqInt(Neg(Zero), Pos(Succ(x0))) new_esEs15(Double(x0, x1), Double(x2, x3)) new_esEs4(x0, x1, ty_@0) new_esEs20(Char(x0), Char(x1)) new_esEs24(x0, x1, app(ty_Ratio, x2)) new_esEs22(x0, x1, ty_Char) new_esEs25(x0, x1, ty_Int) new_esEs24(x0, x1, ty_Bool) new_esEs4(x0, x1, app(ty_Maybe, x2)) new_esEs4(x0, x1, ty_Bool) new_esEs14(Left(x0), Left(x1), app(ty_Maybe, x2), x3) new_esEs14(Right(x0), Right(x1), x2, app(ty_Ratio, x3)) new_esEs10(x0, x1) new_primMulNat0(Succ(x0), Succ(x1)) new_esEs23(x0, x1, ty_@0) new_primEqNat0(Succ(x0), Succ(x1)) new_esEs24(x0, x1, ty_@0) new_primEqInt(Pos(Succ(x0)), Pos(Succ(x1))) new_esEs25(x0, x1, ty_Char) new_esEs8(x0, x1, ty_Int) new_primEqNat0(Succ(x0), Zero) new_primEqInt(Pos(Zero), Pos(Succ(x0))) new_esEs25(x0, x1, app(ty_Maybe, x2)) new_esEs26(x0, x1, ty_Ordering) new_esEs24(x0, x1, app(ty_[], x2)) new_esEs14(Right(x0), Right(x1), x2, ty_Int) new_esEs23(x0, x1, ty_Bool) new_esEs11(LT, GT) new_esEs11(GT, LT) new_esEs27(x0, x1, ty_Char) new_esEs14(Left(x0), Left(x1), ty_@0, x2) new_esEs14(Right(x0), Right(x1), x2, app(app(ty_@2, x3), x4)) new_esEs27(x0, x1, ty_@0) new_esEs19(Nothing, Just(x0), x1) new_esEs19(Just(x0), Nothing, x1) new_esEs23(x0, x1, ty_Char) new_esEs27(x0, x1, ty_Int) new_esEs26(x0, x1, ty_Double) new_primEqNat0(Zero, Succ(x0)) new_esEs19(Just(x0), Just(x1), app(app(ty_@2, x2), x3)) new_esEs11(LT, EQ) new_esEs11(EQ, LT) new_esEs14(Left(x0), Left(x1), ty_Integer, x2) new_esEs5(x0, x1, ty_Bool) new_esEs14(Right(x0), Right(x1), x2, ty_Char) new_esEs4(x0, x1, ty_Integer) new_esEs26(x0, x1, ty_Char) new_esEs26(x0, x1, ty_Int) new_esEs24(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs22(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs11(GT, GT) new_esEs23(x0, x1, app(app(ty_Either, x2), x3)) new_primEqInt(Neg(Succ(x0)), Neg(Succ(x1))) new_esEs4(x0, x1, app(ty_[], x2)) new_primMulNat0(Zero, Succ(x0)) new_sr(Pos(x0), Pos(x1)) new_primEqNat0(Zero, Zero) new_esEs5(x0, x1, app(app(ty_@2, x2), x3)) new_esEs22(x0, x1, ty_Bool) new_esEs4(x0, x1, app(app(ty_Either, x2), x3)) new_esEs14(Right(x0), Right(x1), x2, ty_Ordering) new_esEs4(x0, x1, ty_Char) new_esEs22(x0, x1, ty_Ordering) new_esEs27(x0, x1, ty_Ordering) new_esEs19(Just(x0), Just(x1), ty_Float) new_esEs14(Right(x0), Right(x1), x2, ty_Double) new_esEs19(Just(x0), Just(x1), ty_Bool) new_esEs26(x0, x1, ty_@0) new_esEs5(x0, x1, ty_Integer) new_sr(Neg(x0), Neg(x1)) new_asAs(True, x0) new_esEs27(x0, x1, ty_Bool) new_esEs4(x0, x1, ty_Int) new_esEs11(LT, LT) new_esEs26(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs26(x0, x1, ty_Float) new_esEs26(x0, x1, app(ty_[], x2)) new_esEs23(x0, x1, app(ty_Maybe, x2)) new_esEs23(x0, x1, app(ty_Ratio, x2)) new_esEs27(x0, x1, ty_Integer) new_esEs23(x0, x1, ty_Int) new_esEs7(x0, x1, ty_Int) new_esEs19(Just(x0), Just(x1), ty_@0) new_esEs25(x0, x1, app(app(ty_Either, x2), x3)) new_esEs14(Right(x0), Right(x1), x2, ty_Bool) new_esEs14(Right(x0), Right(x1), x2, app(ty_Maybe, x3)) new_esEs19(Just(x0), Just(x1), app(ty_Maybe, x2)) new_esEs24(x0, x1, ty_Integer) new_esEs14(Right(x0), Right(x1), x2, ty_Integer) new_esEs25(x0, x1, app(ty_[], x2)) new_esEs5(x0, x1, app(ty_[], x2)) new_esEs23(x0, x1, app(app(ty_@2, x2), x3)) new_esEs19(Just(x0), Just(x1), ty_Int) new_esEs14(Left(x0), Left(x1), app(app(ty_@2, x2), x3), x4) new_esEs5(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_primPlusNat0(Zero, x0) new_esEs19(Just(x0), Just(x1), ty_Char) new_primPlusNat1(Zero, Succ(x0)) new_esEs8(x0, x1, ty_Integer) new_esEs16(@0, @0) new_esEs22(x0, x1, ty_Integer) new_esEs18(:(x0, x1), [], x2) new_esEs25(x0, x1, ty_Ordering) new_esEs4(x0, x1, ty_Double) new_esEs5(x0, x1, ty_Ordering) new_primEqInt(Neg(Zero), Neg(Succ(x0))) new_esEs22(x0, x1, app(app(ty_@2, x2), x3)) new_esEs23(x0, x1, ty_Float) new_esEs4(x0, x1, app(ty_Ratio, x2)) new_esEs19(Just(x0), Just(x1), ty_Double) new_esEs13(@3(x0, x1, x2), @3(x3, x4, x5), x6, x7, x8) new_esEs26(x0, x1, app(app(ty_Either, x2), x3)) 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_lookup(Left(yu30), :(@2(Left(yu4000), yu401), yu41), bc, bd, be) -> new_lookup1(yu30, yu4000, yu401, yu41, new_esEs4(yu30, yu4000, bd), bc, bd, be) The graph contains the following edges 1 > 1, 2 > 2, 2 > 3, 2 > 4, 3 >= 6, 4 >= 7, 5 >= 8 *new_lookup(Left(yu30), :(@2(Right(yu4000), yu401), yu41), bc, bd, be) -> new_lookup(Left(yu30), yu41, bc, bd, be) The graph contains the following edges 1 >= 1, 2 > 2, 3 >= 3, 4 >= 4, 5 >= 5 *new_lookup1(yu11, yu12, yu13, yu14, False, h, ba, bb) -> new_lookup(Left(yu11), yu14, h, ba, bb) The graph contains the following edges 4 >= 2, 6 >= 3, 7 >= 4, 8 >= 5 ---------------------------------------- (18) YES ---------------------------------------- (19) Obligation: Q DP problem: The TRS P consists of the following rules: new_primMulNat(Succ(yu30000), Succ(yu4000100)) -> new_primMulNat(yu30000, Succ(yu4000100)) 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_primMulNat(Succ(yu30000), Succ(yu4000100)) -> new_primMulNat(yu30000, Succ(yu4000100)) The graph contains the following edges 1 > 1, 2 >= 2 ---------------------------------------- (21) YES ---------------------------------------- (22) Obligation: Q DP problem: The TRS P consists of the following rules: new_primPlusNat(Succ(yu4000), Succ(yu40001000)) -> new_primPlusNat(yu4000, yu40001000) R is empty. Q is empty. We have to consider all minimal (P,Q,R)-chains. ---------------------------------------- (23) 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(yu4000), Succ(yu40001000)) -> new_primPlusNat(yu4000, yu40001000) The graph contains the following edges 1 > 1, 2 > 2 ---------------------------------------- (24) YES ---------------------------------------- (25) Obligation: Q DP problem: The TRS P consists of the following rules: new_primEqNat(Succ(yu3000), Succ(yu400000)) -> new_primEqNat(yu3000, yu400000) R is empty. Q is empty. We have to consider all minimal (P,Q,R)-chains. ---------------------------------------- (26) 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(yu3000), Succ(yu400000)) -> new_primEqNat(yu3000, yu400000) The graph contains the following edges 1 > 1, 2 > 2 ---------------------------------------- (27) YES