/export/starexec/sandbox2/solver/bin/starexec_run_standard /export/starexec/sandbox2/benchmark/theBenchmark.hs /export/starexec/sandbox2/output/output_files -------------------------------------------------------------------------------- YES proof of /export/starexec/sandbox2/benchmark/theBenchmark.hs # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty H-Termination with start terms of the given HASKELL could be proven: (0) HASKELL (1) BR [EQUIVALENT, 0 ms] (2) HASKELL (3) COR [EQUIVALENT, 0 ms] (4) HASKELL (5) Narrow [SOUND, 0 ms] (6) AND (7) QDP (8) QDPSizeChangeProof [EQUIVALENT, 15 ms] (9) YES (10) QDP (11) QDPSizeChangeProof [EQUIVALENT, 0 ms] (12) YES (13) QDP (14) QDPSizeChangeProof [EQUIVALENT, 0 ms] (15) YES (16) QDP (17) QDPSizeChangeProof [EQUIVALENT, 0 ms] (18) YES (19) QDP (20) QDPSizeChangeProof [EQUIVALENT, 0 ms] (21) YES ---------------------------------------- (0) Obligation: mainModule Main module Main where { import qualified Prelude; } ---------------------------------------- (1) BR (EQUIVALENT) Replaced joker patterns by fresh variables and removed binding patterns. ---------------------------------------- (2) Obligation: mainModule Main module Main where { import qualified Prelude; } ---------------------------------------- (3) COR (EQUIVALENT) Cond Reductions: The following Function with conditions "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="notElem",fontsize=16,color="grey",shape="box"];1 -> 3[label="",style="dashed", color="grey", weight=3]; 3[label="notElem xv3",fontsize=16,color="grey",shape="box"];3 -> 4[label="",style="dashed", color="grey", weight=3]; 4[label="notElem xv3 xv4",fontsize=16,color="black",shape="triangle"];4 -> 5[label="",style="solid", color="black", weight=3]; 5[label="all . (/=)",fontsize=16,color="black",shape="box"];5 -> 6[label="",style="solid", color="black", weight=3]; 6[label="all ((/=) xv3) xv4",fontsize=16,color="black",shape="box"];6 -> 7[label="",style="solid", color="black", weight=3]; 7[label="and . map ((/=) xv3)",fontsize=16,color="black",shape="box"];7 -> 8[label="",style="solid", color="black", weight=3]; 8[label="and (map ((/=) xv3) xv4)",fontsize=16,color="black",shape="box"];8 -> 9[label="",style="solid", color="black", weight=3]; 9[label="foldr (&&) True (map ((/=) xv3) xv4)",fontsize=16,color="burlywood",shape="triangle"];812[label="xv4/xv40 : xv41",fontsize=10,color="white",style="solid",shape="box"];9 -> 812[label="",style="solid", color="burlywood", weight=9]; 812 -> 10[label="",style="solid", color="burlywood", weight=3]; 813[label="xv4/[]",fontsize=10,color="white",style="solid",shape="box"];9 -> 813[label="",style="solid", color="burlywood", weight=9]; 813 -> 11[label="",style="solid", color="burlywood", weight=3]; 10[label="foldr (&&) True (map ((/=) xv3) (xv40 : xv41))",fontsize=16,color="black",shape="box"];10 -> 12[label="",style="solid", color="black", weight=3]; 11[label="foldr (&&) True (map ((/=) xv3) [])",fontsize=16,color="black",shape="box"];11 -> 13[label="",style="solid", color="black", weight=3]; 12[label="foldr (&&) True (((/=) xv3 xv40) : map ((/=) xv3) xv41)",fontsize=16,color="black",shape="box"];12 -> 14[label="",style="solid", color="black", weight=3]; 13[label="foldr (&&) True []",fontsize=16,color="black",shape="box"];13 -> 15[label="",style="solid", color="black", weight=3]; 14 -> 19[label="",style="dashed", color="red", weight=0]; 14[label="(&&) (/=) xv3 xv40 foldr (&&) True (map ((/=) xv3) xv41)",fontsize=16,color="magenta"];14 -> 20[label="",style="dashed", color="magenta", weight=3]; 14 -> 21[label="",style="dashed", color="magenta", weight=3]; 15[label="True",fontsize=16,color="green",shape="box"];20 -> 9[label="",style="dashed", color="red", weight=0]; 20[label="foldr (&&) True (map ((/=) xv3) xv41)",fontsize=16,color="magenta"];20 -> 24[label="",style="dashed", color="magenta", weight=3]; 21[label="(/=) xv3 xv40",fontsize=16,color="blue",shape="box"];814[label="/= :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];21 -> 814[label="",style="solid", color="blue", weight=9]; 814 -> 25[label="",style="solid", color="blue", weight=3]; 815[label="/= :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];21 -> 815[label="",style="solid", color="blue", weight=9]; 815 -> 26[label="",style="solid", color="blue", weight=3]; 816[label="/= :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];21 -> 816[label="",style="solid", color="blue", weight=9]; 816 -> 27[label="",style="solid", color="blue", weight=3]; 817[label="/= :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];21 -> 817[label="",style="solid", color="blue", weight=9]; 817 -> 28[label="",style="solid", color="blue", weight=3]; 818[label="/= :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];21 -> 818[label="",style="solid", color="blue", weight=9]; 818 -> 29[label="",style="solid", color="blue", weight=3]; 819[label="/= :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];21 -> 819[label="",style="solid", color="blue", weight=9]; 819 -> 30[label="",style="solid", color="blue", weight=3]; 820[label="/= :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];21 -> 820[label="",style="solid", color="blue", weight=9]; 820 -> 31[label="",style="solid", color="blue", weight=3]; 821[label="/= :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];21 -> 821[label="",style="solid", color="blue", weight=9]; 821 -> 32[label="",style="solid", color="blue", weight=3]; 822[label="/= :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];21 -> 822[label="",style="solid", color="blue", weight=9]; 822 -> 33[label="",style="solid", color="blue", weight=3]; 823[label="/= :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];21 -> 823[label="",style="solid", color="blue", weight=9]; 823 -> 34[label="",style="solid", color="blue", weight=3]; 824[label="/= :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];21 -> 824[label="",style="solid", color="blue", weight=9]; 824 -> 35[label="",style="solid", color="blue", weight=3]; 825[label="/= :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];21 -> 825[label="",style="solid", color="blue", weight=9]; 825 -> 36[label="",style="solid", color="blue", weight=3]; 826[label="/= :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];21 -> 826[label="",style="solid", color="blue", weight=9]; 826 -> 37[label="",style="solid", color="blue", weight=3]; 827[label="/= :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];21 -> 827[label="",style="solid", color="blue", weight=9]; 827 -> 38[label="",style="solid", color="blue", weight=3]; 19[label="(&&) xv9 xv10",fontsize=16,color="burlywood",shape="triangle"];828[label="xv9/False",fontsize=10,color="white",style="solid",shape="box"];19 -> 828[label="",style="solid", color="burlywood", weight=9]; 828 -> 39[label="",style="solid", color="burlywood", weight=3]; 829[label="xv9/True",fontsize=10,color="white",style="solid",shape="box"];19 -> 829[label="",style="solid", color="burlywood", weight=9]; 829 -> 40[label="",style="solid", color="burlywood", weight=3]; 24[label="xv41",fontsize=16,color="green",shape="box"];25[label="(/=) xv3 xv40",fontsize=16,color="black",shape="box"];25 -> 41[label="",style="solid", color="black", weight=3]; 26[label="(/=) xv3 xv40",fontsize=16,color="black",shape="box"];26 -> 42[label="",style="solid", color="black", weight=3]; 27[label="(/=) xv3 xv40",fontsize=16,color="black",shape="box"];27 -> 43[label="",style="solid", color="black", weight=3]; 28[label="(/=) xv3 xv40",fontsize=16,color="black",shape="box"];28 -> 44[label="",style="solid", color="black", weight=3]; 29[label="(/=) xv3 xv40",fontsize=16,color="black",shape="box"];29 -> 45[label="",style="solid", color="black", weight=3]; 30[label="(/=) xv3 xv40",fontsize=16,color="black",shape="box"];30 -> 46[label="",style="solid", color="black", weight=3]; 31[label="(/=) xv3 xv40",fontsize=16,color="black",shape="box"];31 -> 47[label="",style="solid", color="black", weight=3]; 32[label="(/=) xv3 xv40",fontsize=16,color="black",shape="box"];32 -> 48[label="",style="solid", color="black", weight=3]; 33[label="(/=) xv3 xv40",fontsize=16,color="black",shape="box"];33 -> 49[label="",style="solid", color="black", weight=3]; 34[label="(/=) xv3 xv40",fontsize=16,color="black",shape="box"];34 -> 50[label="",style="solid", color="black", weight=3]; 35[label="(/=) xv3 xv40",fontsize=16,color="black",shape="box"];35 -> 51[label="",style="solid", color="black", weight=3]; 36[label="(/=) xv3 xv40",fontsize=16,color="black",shape="box"];36 -> 52[label="",style="solid", color="black", weight=3]; 37[label="(/=) xv3 xv40",fontsize=16,color="black",shape="box"];37 -> 53[label="",style="solid", color="black", weight=3]; 38[label="(/=) xv3 xv40",fontsize=16,color="black",shape="box"];38 -> 54[label="",style="solid", color="black", weight=3]; 39[label="(&&) False xv10",fontsize=16,color="black",shape="box"];39 -> 55[label="",style="solid", color="black", weight=3]; 40[label="(&&) True xv10",fontsize=16,color="black",shape="box"];40 -> 56[label="",style="solid", color="black", weight=3]; 41 -> 149[label="",style="dashed", color="red", weight=0]; 41[label="not (xv3 == xv40)",fontsize=16,color="magenta"];41 -> 150[label="",style="dashed", color="magenta", weight=3]; 42 -> 149[label="",style="dashed", color="red", weight=0]; 42[label="not (xv3 == xv40)",fontsize=16,color="magenta"];42 -> 151[label="",style="dashed", color="magenta", weight=3]; 43 -> 149[label="",style="dashed", color="red", weight=0]; 43[label="not (xv3 == xv40)",fontsize=16,color="magenta"];43 -> 152[label="",style="dashed", color="magenta", weight=3]; 44 -> 149[label="",style="dashed", color="red", weight=0]; 44[label="not (xv3 == xv40)",fontsize=16,color="magenta"];44 -> 153[label="",style="dashed", color="magenta", weight=3]; 45 -> 149[label="",style="dashed", color="red", weight=0]; 45[label="not (xv3 == xv40)",fontsize=16,color="magenta"];45 -> 154[label="",style="dashed", color="magenta", weight=3]; 46 -> 149[label="",style="dashed", color="red", weight=0]; 46[label="not (xv3 == xv40)",fontsize=16,color="magenta"];46 -> 155[label="",style="dashed", color="magenta", weight=3]; 47 -> 149[label="",style="dashed", color="red", weight=0]; 47[label="not (xv3 == xv40)",fontsize=16,color="magenta"];47 -> 156[label="",style="dashed", color="magenta", weight=3]; 48 -> 149[label="",style="dashed", color="red", weight=0]; 48[label="not (xv3 == xv40)",fontsize=16,color="magenta"];48 -> 157[label="",style="dashed", color="magenta", weight=3]; 49 -> 149[label="",style="dashed", color="red", weight=0]; 49[label="not (xv3 == xv40)",fontsize=16,color="magenta"];49 -> 158[label="",style="dashed", color="magenta", weight=3]; 50 -> 149[label="",style="dashed", color="red", weight=0]; 50[label="not (xv3 == xv40)",fontsize=16,color="magenta"];50 -> 159[label="",style="dashed", color="magenta", weight=3]; 51 -> 149[label="",style="dashed", color="red", weight=0]; 51[label="not (xv3 == xv40)",fontsize=16,color="magenta"];51 -> 160[label="",style="dashed", color="magenta", weight=3]; 52 -> 149[label="",style="dashed", color="red", weight=0]; 52[label="not (xv3 == xv40)",fontsize=16,color="magenta"];52 -> 161[label="",style="dashed", color="magenta", weight=3]; 53 -> 149[label="",style="dashed", color="red", weight=0]; 53[label="not (xv3 == xv40)",fontsize=16,color="magenta"];53 -> 162[label="",style="dashed", color="magenta", weight=3]; 54 -> 149[label="",style="dashed", color="red", weight=0]; 54[label="not (xv3 == xv40)",fontsize=16,color="magenta"];54 -> 163[label="",style="dashed", color="magenta", weight=3]; 55[label="False",fontsize=16,color="green",shape="box"];56[label="xv10",fontsize=16,color="green",shape="box"];150[label="xv3 == xv40",fontsize=16,color="burlywood",shape="triangle"];830[label="xv3/xv30 :% xv31",fontsize=10,color="white",style="solid",shape="box"];150 -> 830[label="",style="solid", color="burlywood", weight=9]; 830 -> 198[label="",style="solid", color="burlywood", weight=3]; 149[label="not xv11",fontsize=16,color="burlywood",shape="triangle"];831[label="xv11/False",fontsize=10,color="white",style="solid",shape="box"];149 -> 831[label="",style="solid", color="burlywood", weight=9]; 831 -> 199[label="",style="solid", color="burlywood", weight=3]; 832[label="xv11/True",fontsize=10,color="white",style="solid",shape="box"];149 -> 832[label="",style="solid", color="burlywood", weight=9]; 832 -> 200[label="",style="solid", color="burlywood", weight=3]; 151[label="xv3 == xv40",fontsize=16,color="black",shape="triangle"];151 -> 201[label="",style="solid", color="black", weight=3]; 152[label="xv3 == xv40",fontsize=16,color="burlywood",shape="triangle"];833[label="xv3/(xv30,xv31,xv32)",fontsize=10,color="white",style="solid",shape="box"];152 -> 833[label="",style="solid", color="burlywood", weight=9]; 833 -> 202[label="",style="solid", color="burlywood", weight=3]; 153[label="xv3 == xv40",fontsize=16,color="black",shape="triangle"];153 -> 203[label="",style="solid", color="black", weight=3]; 154[label="xv3 == xv40",fontsize=16,color="burlywood",shape="triangle"];834[label="xv3/Nothing",fontsize=10,color="white",style="solid",shape="box"];154 -> 834[label="",style="solid", color="burlywood", weight=9]; 834 -> 204[label="",style="solid", color="burlywood", weight=3]; 835[label="xv3/Just xv30",fontsize=10,color="white",style="solid",shape="box"];154 -> 835[label="",style="solid", color="burlywood", weight=9]; 835 -> 205[label="",style="solid", color="burlywood", weight=3]; 155[label="xv3 == xv40",fontsize=16,color="burlywood",shape="triangle"];836[label="xv3/xv30 : xv31",fontsize=10,color="white",style="solid",shape="box"];155 -> 836[label="",style="solid", color="burlywood", weight=9]; 836 -> 206[label="",style="solid", color="burlywood", weight=3]; 837[label="xv3/[]",fontsize=10,color="white",style="solid",shape="box"];155 -> 837[label="",style="solid", color="burlywood", weight=9]; 837 -> 207[label="",style="solid", color="burlywood", weight=3]; 156[label="xv3 == xv40",fontsize=16,color="burlywood",shape="triangle"];838[label="xv3/()",fontsize=10,color="white",style="solid",shape="box"];156 -> 838[label="",style="solid", color="burlywood", weight=9]; 838 -> 208[label="",style="solid", color="burlywood", weight=3]; 157[label="xv3 == xv40",fontsize=16,color="black",shape="triangle"];157 -> 209[label="",style="solid", color="black", weight=3]; 158[label="xv3 == xv40",fontsize=16,color="burlywood",shape="triangle"];839[label="xv3/(xv30,xv31)",fontsize=10,color="white",style="solid",shape="box"];158 -> 839[label="",style="solid", color="burlywood", weight=9]; 839 -> 210[label="",style="solid", color="burlywood", weight=3]; 159[label="xv3 == xv40",fontsize=16,color="black",shape="triangle"];159 -> 211[label="",style="solid", color="black", weight=3]; 160[label="xv3 == xv40",fontsize=16,color="burlywood",shape="triangle"];840[label="xv3/Left xv30",fontsize=10,color="white",style="solid",shape="box"];160 -> 840[label="",style="solid", color="burlywood", weight=9]; 840 -> 212[label="",style="solid", color="burlywood", weight=3]; 841[label="xv3/Right xv30",fontsize=10,color="white",style="solid",shape="box"];160 -> 841[label="",style="solid", color="burlywood", weight=9]; 841 -> 213[label="",style="solid", color="burlywood", weight=3]; 161[label="xv3 == xv40",fontsize=16,color="burlywood",shape="triangle"];842[label="xv3/Integer xv30",fontsize=10,color="white",style="solid",shape="box"];161 -> 842[label="",style="solid", color="burlywood", weight=9]; 842 -> 214[label="",style="solid", color="burlywood", weight=3]; 162[label="xv3 == xv40",fontsize=16,color="burlywood",shape="triangle"];843[label="xv3/LT",fontsize=10,color="white",style="solid",shape="box"];162 -> 843[label="",style="solid", color="burlywood", weight=9]; 843 -> 215[label="",style="solid", color="burlywood", weight=3]; 844[label="xv3/EQ",fontsize=10,color="white",style="solid",shape="box"];162 -> 844[label="",style="solid", color="burlywood", weight=9]; 844 -> 216[label="",style="solid", color="burlywood", weight=3]; 845[label="xv3/GT",fontsize=10,color="white",style="solid",shape="box"];162 -> 845[label="",style="solid", color="burlywood", weight=9]; 845 -> 217[label="",style="solid", color="burlywood", weight=3]; 163[label="xv3 == xv40",fontsize=16,color="burlywood",shape="triangle"];846[label="xv3/False",fontsize=10,color="white",style="solid",shape="box"];163 -> 846[label="",style="solid", color="burlywood", weight=9]; 846 -> 218[label="",style="solid", color="burlywood", weight=3]; 847[label="xv3/True",fontsize=10,color="white",style="solid",shape="box"];163 -> 847[label="",style="solid", color="burlywood", weight=9]; 847 -> 219[label="",style="solid", color="burlywood", weight=3]; 198[label="xv30 :% xv31 == xv40",fontsize=16,color="burlywood",shape="box"];848[label="xv40/xv400 :% xv401",fontsize=10,color="white",style="solid",shape="box"];198 -> 848[label="",style="solid", color="burlywood", weight=9]; 848 -> 220[label="",style="solid", color="burlywood", weight=3]; 199[label="not False",fontsize=16,color="black",shape="box"];199 -> 221[label="",style="solid", color="black", weight=3]; 200[label="not True",fontsize=16,color="black",shape="box"];200 -> 222[label="",style="solid", color="black", weight=3]; 201[label="primEqChar xv3 xv40",fontsize=16,color="burlywood",shape="box"];849[label="xv3/Char xv30",fontsize=10,color="white",style="solid",shape="box"];201 -> 849[label="",style="solid", color="burlywood", weight=9]; 849 -> 223[label="",style="solid", color="burlywood", weight=3]; 202[label="(xv30,xv31,xv32) == xv40",fontsize=16,color="burlywood",shape="box"];850[label="xv40/(xv400,xv401,xv402)",fontsize=10,color="white",style="solid",shape="box"];202 -> 850[label="",style="solid", color="burlywood", weight=9]; 850 -> 224[label="",style="solid", color="burlywood", weight=3]; 203[label="primEqDouble xv3 xv40",fontsize=16,color="burlywood",shape="box"];851[label="xv3/Double xv30 xv31",fontsize=10,color="white",style="solid",shape="box"];203 -> 851[label="",style="solid", color="burlywood", weight=9]; 851 -> 225[label="",style="solid", color="burlywood", weight=3]; 204[label="Nothing == xv40",fontsize=16,color="burlywood",shape="box"];852[label="xv40/Nothing",fontsize=10,color="white",style="solid",shape="box"];204 -> 852[label="",style="solid", color="burlywood", weight=9]; 852 -> 226[label="",style="solid", color="burlywood", weight=3]; 853[label="xv40/Just xv400",fontsize=10,color="white",style="solid",shape="box"];204 -> 853[label="",style="solid", color="burlywood", weight=9]; 853 -> 227[label="",style="solid", color="burlywood", weight=3]; 205[label="Just xv30 == xv40",fontsize=16,color="burlywood",shape="box"];854[label="xv40/Nothing",fontsize=10,color="white",style="solid",shape="box"];205 -> 854[label="",style="solid", color="burlywood", weight=9]; 854 -> 228[label="",style="solid", color="burlywood", weight=3]; 855[label="xv40/Just xv400",fontsize=10,color="white",style="solid",shape="box"];205 -> 855[label="",style="solid", color="burlywood", weight=9]; 855 -> 229[label="",style="solid", color="burlywood", weight=3]; 206[label="xv30 : xv31 == xv40",fontsize=16,color="burlywood",shape="box"];856[label="xv40/xv400 : xv401",fontsize=10,color="white",style="solid",shape="box"];206 -> 856[label="",style="solid", color="burlywood", weight=9]; 856 -> 230[label="",style="solid", color="burlywood", weight=3]; 857[label="xv40/[]",fontsize=10,color="white",style="solid",shape="box"];206 -> 857[label="",style="solid", color="burlywood", weight=9]; 857 -> 231[label="",style="solid", color="burlywood", weight=3]; 207[label="[] == xv40",fontsize=16,color="burlywood",shape="box"];858[label="xv40/xv400 : xv401",fontsize=10,color="white",style="solid",shape="box"];207 -> 858[label="",style="solid", color="burlywood", weight=9]; 858 -> 232[label="",style="solid", color="burlywood", weight=3]; 859[label="xv40/[]",fontsize=10,color="white",style="solid",shape="box"];207 -> 859[label="",style="solid", color="burlywood", weight=9]; 859 -> 233[label="",style="solid", color="burlywood", weight=3]; 208[label="() == xv40",fontsize=16,color="burlywood",shape="box"];860[label="xv40/()",fontsize=10,color="white",style="solid",shape="box"];208 -> 860[label="",style="solid", color="burlywood", weight=9]; 860 -> 234[label="",style="solid", color="burlywood", weight=3]; 209[label="primEqInt xv3 xv40",fontsize=16,color="burlywood",shape="triangle"];861[label="xv3/Pos xv30",fontsize=10,color="white",style="solid",shape="box"];209 -> 861[label="",style="solid", color="burlywood", weight=9]; 861 -> 235[label="",style="solid", color="burlywood", weight=3]; 862[label="xv3/Neg xv30",fontsize=10,color="white",style="solid",shape="box"];209 -> 862[label="",style="solid", color="burlywood", weight=9]; 862 -> 236[label="",style="solid", color="burlywood", weight=3]; 210[label="(xv30,xv31) == xv40",fontsize=16,color="burlywood",shape="box"];863[label="xv40/(xv400,xv401)",fontsize=10,color="white",style="solid",shape="box"];210 -> 863[label="",style="solid", color="burlywood", weight=9]; 863 -> 237[label="",style="solid", color="burlywood", weight=3]; 211[label="primEqFloat xv3 xv40",fontsize=16,color="burlywood",shape="box"];864[label="xv3/Float xv30 xv31",fontsize=10,color="white",style="solid",shape="box"];211 -> 864[label="",style="solid", color="burlywood", weight=9]; 864 -> 238[label="",style="solid", color="burlywood", weight=3]; 212[label="Left xv30 == xv40",fontsize=16,color="burlywood",shape="box"];865[label="xv40/Left xv400",fontsize=10,color="white",style="solid",shape="box"];212 -> 865[label="",style="solid", color="burlywood", weight=9]; 865 -> 239[label="",style="solid", color="burlywood", weight=3]; 866[label="xv40/Right xv400",fontsize=10,color="white",style="solid",shape="box"];212 -> 866[label="",style="solid", color="burlywood", weight=9]; 866 -> 240[label="",style="solid", color="burlywood", weight=3]; 213[label="Right xv30 == xv40",fontsize=16,color="burlywood",shape="box"];867[label="xv40/Left xv400",fontsize=10,color="white",style="solid",shape="box"];213 -> 867[label="",style="solid", color="burlywood", weight=9]; 867 -> 241[label="",style="solid", color="burlywood", weight=3]; 868[label="xv40/Right xv400",fontsize=10,color="white",style="solid",shape="box"];213 -> 868[label="",style="solid", color="burlywood", weight=9]; 868 -> 242[label="",style="solid", color="burlywood", weight=3]; 214[label="Integer xv30 == xv40",fontsize=16,color="burlywood",shape="box"];869[label="xv40/Integer xv400",fontsize=10,color="white",style="solid",shape="box"];214 -> 869[label="",style="solid", color="burlywood", weight=9]; 869 -> 243[label="",style="solid", color="burlywood", weight=3]; 215[label="LT == xv40",fontsize=16,color="burlywood",shape="box"];870[label="xv40/LT",fontsize=10,color="white",style="solid",shape="box"];215 -> 870[label="",style="solid", color="burlywood", weight=9]; 870 -> 244[label="",style="solid", color="burlywood", weight=3]; 871[label="xv40/EQ",fontsize=10,color="white",style="solid",shape="box"];215 -> 871[label="",style="solid", color="burlywood", weight=9]; 871 -> 245[label="",style="solid", color="burlywood", weight=3]; 872[label="xv40/GT",fontsize=10,color="white",style="solid",shape="box"];215 -> 872[label="",style="solid", color="burlywood", weight=9]; 872 -> 246[label="",style="solid", color="burlywood", weight=3]; 216[label="EQ == xv40",fontsize=16,color="burlywood",shape="box"];873[label="xv40/LT",fontsize=10,color="white",style="solid",shape="box"];216 -> 873[label="",style="solid", color="burlywood", weight=9]; 873 -> 247[label="",style="solid", color="burlywood", weight=3]; 874[label="xv40/EQ",fontsize=10,color="white",style="solid",shape="box"];216 -> 874[label="",style="solid", color="burlywood", weight=9]; 874 -> 248[label="",style="solid", color="burlywood", weight=3]; 875[label="xv40/GT",fontsize=10,color="white",style="solid",shape="box"];216 -> 875[label="",style="solid", color="burlywood", weight=9]; 875 -> 249[label="",style="solid", color="burlywood", weight=3]; 217[label="GT == xv40",fontsize=16,color="burlywood",shape="box"];876[label="xv40/LT",fontsize=10,color="white",style="solid",shape="box"];217 -> 876[label="",style="solid", color="burlywood", weight=9]; 876 -> 250[label="",style="solid", color="burlywood", weight=3]; 877[label="xv40/EQ",fontsize=10,color="white",style="solid",shape="box"];217 -> 877[label="",style="solid", color="burlywood", weight=9]; 877 -> 251[label="",style="solid", color="burlywood", weight=3]; 878[label="xv40/GT",fontsize=10,color="white",style="solid",shape="box"];217 -> 878[label="",style="solid", color="burlywood", weight=9]; 878 -> 252[label="",style="solid", color="burlywood", weight=3]; 218[label="False == xv40",fontsize=16,color="burlywood",shape="box"];879[label="xv40/False",fontsize=10,color="white",style="solid",shape="box"];218 -> 879[label="",style="solid", color="burlywood", weight=9]; 879 -> 253[label="",style="solid", color="burlywood", weight=3]; 880[label="xv40/True",fontsize=10,color="white",style="solid",shape="box"];218 -> 880[label="",style="solid", color="burlywood", weight=9]; 880 -> 254[label="",style="solid", color="burlywood", weight=3]; 219[label="True == xv40",fontsize=16,color="burlywood",shape="box"];881[label="xv40/False",fontsize=10,color="white",style="solid",shape="box"];219 -> 881[label="",style="solid", color="burlywood", weight=9]; 881 -> 255[label="",style="solid", color="burlywood", weight=3]; 882[label="xv40/True",fontsize=10,color="white",style="solid",shape="box"];219 -> 882[label="",style="solid", color="burlywood", weight=9]; 882 -> 256[label="",style="solid", color="burlywood", weight=3]; 220[label="xv30 :% xv31 == xv400 :% xv401",fontsize=16,color="black",shape="box"];220 -> 257[label="",style="solid", color="black", weight=3]; 221[label="True",fontsize=16,color="green",shape="box"];222[label="False",fontsize=16,color="green",shape="box"];223[label="primEqChar (Char xv30) xv40",fontsize=16,color="burlywood",shape="box"];883[label="xv40/Char xv400",fontsize=10,color="white",style="solid",shape="box"];223 -> 883[label="",style="solid", color="burlywood", weight=9]; 883 -> 258[label="",style="solid", color="burlywood", weight=3]; 224[label="(xv30,xv31,xv32) == (xv400,xv401,xv402)",fontsize=16,color="black",shape="box"];224 -> 259[label="",style="solid", color="black", weight=3]; 225[label="primEqDouble (Double xv30 xv31) xv40",fontsize=16,color="burlywood",shape="box"];884[label="xv40/Double xv400 xv401",fontsize=10,color="white",style="solid",shape="box"];225 -> 884[label="",style="solid", color="burlywood", weight=9]; 884 -> 260[label="",style="solid", color="burlywood", weight=3]; 226[label="Nothing == Nothing",fontsize=16,color="black",shape="box"];226 -> 261[label="",style="solid", color="black", weight=3]; 227[label="Nothing == Just xv400",fontsize=16,color="black",shape="box"];227 -> 262[label="",style="solid", color="black", weight=3]; 228[label="Just xv30 == Nothing",fontsize=16,color="black",shape="box"];228 -> 263[label="",style="solid", color="black", weight=3]; 229[label="Just xv30 == Just xv400",fontsize=16,color="black",shape="box"];229 -> 264[label="",style="solid", color="black", weight=3]; 230[label="xv30 : xv31 == xv400 : xv401",fontsize=16,color="black",shape="box"];230 -> 265[label="",style="solid", color="black", weight=3]; 231[label="xv30 : xv31 == []",fontsize=16,color="black",shape="box"];231 -> 266[label="",style="solid", color="black", weight=3]; 232[label="[] == xv400 : xv401",fontsize=16,color="black",shape="box"];232 -> 267[label="",style="solid", color="black", weight=3]; 233[label="[] == []",fontsize=16,color="black",shape="box"];233 -> 268[label="",style="solid", color="black", weight=3]; 234[label="() == ()",fontsize=16,color="black",shape="box"];234 -> 269[label="",style="solid", color="black", weight=3]; 235[label="primEqInt (Pos xv30) xv40",fontsize=16,color="burlywood",shape="box"];885[label="xv30/Succ xv300",fontsize=10,color="white",style="solid",shape="box"];235 -> 885[label="",style="solid", color="burlywood", weight=9]; 885 -> 270[label="",style="solid", color="burlywood", weight=3]; 886[label="xv30/Zero",fontsize=10,color="white",style="solid",shape="box"];235 -> 886[label="",style="solid", color="burlywood", weight=9]; 886 -> 271[label="",style="solid", color="burlywood", weight=3]; 236[label="primEqInt (Neg xv30) xv40",fontsize=16,color="burlywood",shape="box"];887[label="xv30/Succ xv300",fontsize=10,color="white",style="solid",shape="box"];236 -> 887[label="",style="solid", color="burlywood", weight=9]; 887 -> 272[label="",style="solid", color="burlywood", weight=3]; 888[label="xv30/Zero",fontsize=10,color="white",style="solid",shape="box"];236 -> 888[label="",style="solid", color="burlywood", weight=9]; 888 -> 273[label="",style="solid", color="burlywood", weight=3]; 237[label="(xv30,xv31) == (xv400,xv401)",fontsize=16,color="black",shape="box"];237 -> 274[label="",style="solid", color="black", weight=3]; 238[label="primEqFloat (Float xv30 xv31) xv40",fontsize=16,color="burlywood",shape="box"];889[label="xv40/Float xv400 xv401",fontsize=10,color="white",style="solid",shape="box"];238 -> 889[label="",style="solid", color="burlywood", weight=9]; 889 -> 275[label="",style="solid", color="burlywood", weight=3]; 239[label="Left xv30 == Left xv400",fontsize=16,color="black",shape="box"];239 -> 276[label="",style="solid", color="black", weight=3]; 240[label="Left xv30 == Right xv400",fontsize=16,color="black",shape="box"];240 -> 277[label="",style="solid", color="black", weight=3]; 241[label="Right xv30 == Left xv400",fontsize=16,color="black",shape="box"];241 -> 278[label="",style="solid", color="black", weight=3]; 242[label="Right xv30 == Right xv400",fontsize=16,color="black",shape="box"];242 -> 279[label="",style="solid", color="black", weight=3]; 243[label="Integer xv30 == Integer xv400",fontsize=16,color="black",shape="box"];243 -> 280[label="",style="solid", color="black", weight=3]; 244[label="LT == LT",fontsize=16,color="black",shape="box"];244 -> 281[label="",style="solid", color="black", weight=3]; 245[label="LT == EQ",fontsize=16,color="black",shape="box"];245 -> 282[label="",style="solid", color="black", weight=3]; 246[label="LT == GT",fontsize=16,color="black",shape="box"];246 -> 283[label="",style="solid", color="black", weight=3]; 247[label="EQ == LT",fontsize=16,color="black",shape="box"];247 -> 284[label="",style="solid", color="black", weight=3]; 248[label="EQ == EQ",fontsize=16,color="black",shape="box"];248 -> 285[label="",style="solid", color="black", weight=3]; 249[label="EQ == GT",fontsize=16,color="black",shape="box"];249 -> 286[label="",style="solid", color="black", weight=3]; 250[label="GT == LT",fontsize=16,color="black",shape="box"];250 -> 287[label="",style="solid", color="black", weight=3]; 251[label="GT == EQ",fontsize=16,color="black",shape="box"];251 -> 288[label="",style="solid", color="black", weight=3]; 252[label="GT == GT",fontsize=16,color="black",shape="box"];252 -> 289[label="",style="solid", color="black", weight=3]; 253[label="False == False",fontsize=16,color="black",shape="box"];253 -> 290[label="",style="solid", color="black", weight=3]; 254[label="False == True",fontsize=16,color="black",shape="box"];254 -> 291[label="",style="solid", color="black", weight=3]; 255[label="True == False",fontsize=16,color="black",shape="box"];255 -> 292[label="",style="solid", color="black", weight=3]; 256[label="True == True",fontsize=16,color="black",shape="box"];256 -> 293[label="",style="solid", color="black", weight=3]; 257 -> 19[label="",style="dashed", color="red", weight=0]; 257[label="xv30 == xv400 && xv31 == xv401",fontsize=16,color="magenta"];257 -> 294[label="",style="dashed", color="magenta", weight=3]; 257 -> 295[label="",style="dashed", color="magenta", weight=3]; 258[label="primEqChar (Char xv30) (Char xv400)",fontsize=16,color="black",shape="box"];258 -> 296[label="",style="solid", color="black", weight=3]; 259 -> 19[label="",style="dashed", color="red", weight=0]; 259[label="xv30 == xv400 && xv31 == xv401 && xv32 == xv402",fontsize=16,color="magenta"];259 -> 297[label="",style="dashed", color="magenta", weight=3]; 259 -> 298[label="",style="dashed", color="magenta", weight=3]; 260[label="primEqDouble (Double xv30 xv31) (Double xv400 xv401)",fontsize=16,color="black",shape="box"];260 -> 299[label="",style="solid", color="black", weight=3]; 261[label="True",fontsize=16,color="green",shape="box"];262[label="False",fontsize=16,color="green",shape="box"];263[label="False",fontsize=16,color="green",shape="box"];264[label="xv30 == xv400",fontsize=16,color="blue",shape="box"];890[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];264 -> 890[label="",style="solid", color="blue", weight=9]; 890 -> 300[label="",style="solid", color="blue", weight=3]; 891[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];264 -> 891[label="",style="solid", color="blue", weight=9]; 891 -> 301[label="",style="solid", color="blue", weight=3]; 892[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];264 -> 892[label="",style="solid", color="blue", weight=9]; 892 -> 302[label="",style="solid", color="blue", weight=3]; 893[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];264 -> 893[label="",style="solid", color="blue", weight=9]; 893 -> 303[label="",style="solid", color="blue", weight=3]; 894[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];264 -> 894[label="",style="solid", color="blue", weight=9]; 894 -> 304[label="",style="solid", color="blue", weight=3]; 895[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];264 -> 895[label="",style="solid", color="blue", weight=9]; 895 -> 305[label="",style="solid", color="blue", weight=3]; 896[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];264 -> 896[label="",style="solid", color="blue", weight=9]; 896 -> 306[label="",style="solid", color="blue", weight=3]; 897[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];264 -> 897[label="",style="solid", color="blue", weight=9]; 897 -> 307[label="",style="solid", color="blue", weight=3]; 898[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];264 -> 898[label="",style="solid", color="blue", weight=9]; 898 -> 308[label="",style="solid", color="blue", weight=3]; 899[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];264 -> 899[label="",style="solid", color="blue", weight=9]; 899 -> 309[label="",style="solid", color="blue", weight=3]; 900[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];264 -> 900[label="",style="solid", color="blue", weight=9]; 900 -> 310[label="",style="solid", color="blue", weight=3]; 901[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];264 -> 901[label="",style="solid", color="blue", weight=9]; 901 -> 311[label="",style="solid", color="blue", weight=3]; 902[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];264 -> 902[label="",style="solid", color="blue", weight=9]; 902 -> 312[label="",style="solid", color="blue", weight=3]; 903[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];264 -> 903[label="",style="solid", color="blue", weight=9]; 903 -> 313[label="",style="solid", color="blue", weight=3]; 265 -> 19[label="",style="dashed", color="red", weight=0]; 265[label="xv30 == xv400 && xv31 == xv401",fontsize=16,color="magenta"];265 -> 314[label="",style="dashed", color="magenta", weight=3]; 265 -> 315[label="",style="dashed", color="magenta", weight=3]; 266[label="False",fontsize=16,color="green",shape="box"];267[label="False",fontsize=16,color="green",shape="box"];268[label="True",fontsize=16,color="green",shape="box"];269[label="True",fontsize=16,color="green",shape="box"];270[label="primEqInt (Pos (Succ xv300)) xv40",fontsize=16,color="burlywood",shape="box"];904[label="xv40/Pos xv400",fontsize=10,color="white",style="solid",shape="box"];270 -> 904[label="",style="solid", color="burlywood", weight=9]; 904 -> 316[label="",style="solid", color="burlywood", weight=3]; 905[label="xv40/Neg xv400",fontsize=10,color="white",style="solid",shape="box"];270 -> 905[label="",style="solid", color="burlywood", weight=9]; 905 -> 317[label="",style="solid", color="burlywood", weight=3]; 271[label="primEqInt (Pos Zero) xv40",fontsize=16,color="burlywood",shape="box"];906[label="xv40/Pos xv400",fontsize=10,color="white",style="solid",shape="box"];271 -> 906[label="",style="solid", color="burlywood", weight=9]; 906 -> 318[label="",style="solid", color="burlywood", weight=3]; 907[label="xv40/Neg xv400",fontsize=10,color="white",style="solid",shape="box"];271 -> 907[label="",style="solid", color="burlywood", weight=9]; 907 -> 319[label="",style="solid", color="burlywood", weight=3]; 272[label="primEqInt (Neg (Succ xv300)) xv40",fontsize=16,color="burlywood",shape="box"];908[label="xv40/Pos xv400",fontsize=10,color="white",style="solid",shape="box"];272 -> 908[label="",style="solid", color="burlywood", weight=9]; 908 -> 320[label="",style="solid", color="burlywood", weight=3]; 909[label="xv40/Neg xv400",fontsize=10,color="white",style="solid",shape="box"];272 -> 909[label="",style="solid", color="burlywood", weight=9]; 909 -> 321[label="",style="solid", color="burlywood", weight=3]; 273[label="primEqInt (Neg Zero) xv40",fontsize=16,color="burlywood",shape="box"];910[label="xv40/Pos xv400",fontsize=10,color="white",style="solid",shape="box"];273 -> 910[label="",style="solid", color="burlywood", weight=9]; 910 -> 322[label="",style="solid", color="burlywood", weight=3]; 911[label="xv40/Neg xv400",fontsize=10,color="white",style="solid",shape="box"];273 -> 911[label="",style="solid", color="burlywood", weight=9]; 911 -> 323[label="",style="solid", color="burlywood", weight=3]; 274 -> 19[label="",style="dashed", color="red", weight=0]; 274[label="xv30 == xv400 && xv31 == xv401",fontsize=16,color="magenta"];274 -> 324[label="",style="dashed", color="magenta", weight=3]; 274 -> 325[label="",style="dashed", color="magenta", weight=3]; 275[label="primEqFloat (Float xv30 xv31) (Float xv400 xv401)",fontsize=16,color="black",shape="box"];275 -> 326[label="",style="solid", color="black", weight=3]; 276[label="xv30 == xv400",fontsize=16,color="blue",shape="box"];912[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];276 -> 912[label="",style="solid", color="blue", weight=9]; 912 -> 327[label="",style="solid", color="blue", weight=3]; 913[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];276 -> 913[label="",style="solid", color="blue", weight=9]; 913 -> 328[label="",style="solid", color="blue", weight=3]; 914[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];276 -> 914[label="",style="solid", color="blue", weight=9]; 914 -> 329[label="",style="solid", color="blue", weight=3]; 915[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];276 -> 915[label="",style="solid", color="blue", weight=9]; 915 -> 330[label="",style="solid", color="blue", weight=3]; 916[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];276 -> 916[label="",style="solid", color="blue", weight=9]; 916 -> 331[label="",style="solid", color="blue", weight=3]; 917[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];276 -> 917[label="",style="solid", color="blue", weight=9]; 917 -> 332[label="",style="solid", color="blue", weight=3]; 918[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];276 -> 918[label="",style="solid", color="blue", weight=9]; 918 -> 333[label="",style="solid", color="blue", weight=3]; 919[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];276 -> 919[label="",style="solid", color="blue", weight=9]; 919 -> 334[label="",style="solid", color="blue", weight=3]; 920[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];276 -> 920[label="",style="solid", color="blue", weight=9]; 920 -> 335[label="",style="solid", color="blue", weight=3]; 921[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];276 -> 921[label="",style="solid", color="blue", weight=9]; 921 -> 336[label="",style="solid", color="blue", weight=3]; 922[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];276 -> 922[label="",style="solid", color="blue", weight=9]; 922 -> 337[label="",style="solid", color="blue", weight=3]; 923[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];276 -> 923[label="",style="solid", color="blue", weight=9]; 923 -> 338[label="",style="solid", color="blue", weight=3]; 924[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];276 -> 924[label="",style="solid", color="blue", weight=9]; 924 -> 339[label="",style="solid", color="blue", weight=3]; 925[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];276 -> 925[label="",style="solid", color="blue", weight=9]; 925 -> 340[label="",style="solid", color="blue", weight=3]; 277[label="False",fontsize=16,color="green",shape="box"];278[label="False",fontsize=16,color="green",shape="box"];279[label="xv30 == xv400",fontsize=16,color="blue",shape="box"];926[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];279 -> 926[label="",style="solid", color="blue", weight=9]; 926 -> 341[label="",style="solid", color="blue", weight=3]; 927[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];279 -> 927[label="",style="solid", color="blue", weight=9]; 927 -> 342[label="",style="solid", color="blue", weight=3]; 928[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];279 -> 928[label="",style="solid", color="blue", weight=9]; 928 -> 343[label="",style="solid", color="blue", weight=3]; 929[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];279 -> 929[label="",style="solid", color="blue", weight=9]; 929 -> 344[label="",style="solid", color="blue", weight=3]; 930[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];279 -> 930[label="",style="solid", color="blue", weight=9]; 930 -> 345[label="",style="solid", color="blue", weight=3]; 931[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];279 -> 931[label="",style="solid", color="blue", weight=9]; 931 -> 346[label="",style="solid", color="blue", weight=3]; 932[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];279 -> 932[label="",style="solid", color="blue", weight=9]; 932 -> 347[label="",style="solid", color="blue", weight=3]; 933[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];279 -> 933[label="",style="solid", color="blue", weight=9]; 933 -> 348[label="",style="solid", color="blue", weight=3]; 934[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];279 -> 934[label="",style="solid", color="blue", weight=9]; 934 -> 349[label="",style="solid", color="blue", weight=3]; 935[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];279 -> 935[label="",style="solid", color="blue", weight=9]; 935 -> 350[label="",style="solid", color="blue", weight=3]; 936[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];279 -> 936[label="",style="solid", color="blue", weight=9]; 936 -> 351[label="",style="solid", color="blue", weight=3]; 937[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];279 -> 937[label="",style="solid", color="blue", weight=9]; 937 -> 352[label="",style="solid", color="blue", weight=3]; 938[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];279 -> 938[label="",style="solid", color="blue", weight=9]; 938 -> 353[label="",style="solid", color="blue", weight=3]; 939[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];279 -> 939[label="",style="solid", color="blue", weight=9]; 939 -> 354[label="",style="solid", color="blue", weight=3]; 280 -> 209[label="",style="dashed", color="red", weight=0]; 280[label="primEqInt xv30 xv400",fontsize=16,color="magenta"];280 -> 355[label="",style="dashed", color="magenta", weight=3]; 280 -> 356[label="",style="dashed", color="magenta", weight=3]; 281[label="True",fontsize=16,color="green",shape="box"];282[label="False",fontsize=16,color="green",shape="box"];283[label="False",fontsize=16,color="green",shape="box"];284[label="False",fontsize=16,color="green",shape="box"];285[label="True",fontsize=16,color="green",shape="box"];286[label="False",fontsize=16,color="green",shape="box"];287[label="False",fontsize=16,color="green",shape="box"];288[label="False",fontsize=16,color="green",shape="box"];289[label="True",fontsize=16,color="green",shape="box"];290[label="True",fontsize=16,color="green",shape="box"];291[label="False",fontsize=16,color="green",shape="box"];292[label="False",fontsize=16,color="green",shape="box"];293[label="True",fontsize=16,color="green",shape="box"];294[label="xv31 == xv401",fontsize=16,color="blue",shape="box"];940[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];294 -> 940[label="",style="solid", color="blue", weight=9]; 940 -> 357[label="",style="solid", color="blue", weight=3]; 941[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];294 -> 941[label="",style="solid", color="blue", weight=9]; 941 -> 358[label="",style="solid", color="blue", weight=3]; 295[label="xv30 == xv400",fontsize=16,color="blue",shape="box"];942[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];295 -> 942[label="",style="solid", color="blue", weight=9]; 942 -> 359[label="",style="solid", color="blue", weight=3]; 943[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];295 -> 943[label="",style="solid", color="blue", weight=9]; 943 -> 360[label="",style="solid", color="blue", weight=3]; 296[label="primEqNat xv30 xv400",fontsize=16,color="burlywood",shape="triangle"];944[label="xv30/Succ xv300",fontsize=10,color="white",style="solid",shape="box"];296 -> 944[label="",style="solid", color="burlywood", weight=9]; 944 -> 361[label="",style="solid", color="burlywood", weight=3]; 945[label="xv30/Zero",fontsize=10,color="white",style="solid",shape="box"];296 -> 945[label="",style="solid", color="burlywood", weight=9]; 945 -> 362[label="",style="solid", color="burlywood", weight=3]; 297 -> 19[label="",style="dashed", color="red", weight=0]; 297[label="xv31 == xv401 && xv32 == xv402",fontsize=16,color="magenta"];297 -> 363[label="",style="dashed", color="magenta", weight=3]; 297 -> 364[label="",style="dashed", color="magenta", weight=3]; 298[label="xv30 == xv400",fontsize=16,color="blue",shape="box"];946[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];298 -> 946[label="",style="solid", color="blue", weight=9]; 946 -> 365[label="",style="solid", color="blue", weight=3]; 947[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];298 -> 947[label="",style="solid", color="blue", weight=9]; 947 -> 366[label="",style="solid", color="blue", weight=3]; 948[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];298 -> 948[label="",style="solid", color="blue", weight=9]; 948 -> 367[label="",style="solid", color="blue", weight=3]; 949[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];298 -> 949[label="",style="solid", color="blue", weight=9]; 949 -> 368[label="",style="solid", color="blue", weight=3]; 950[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];298 -> 950[label="",style="solid", color="blue", weight=9]; 950 -> 369[label="",style="solid", color="blue", weight=3]; 951[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];298 -> 951[label="",style="solid", color="blue", weight=9]; 951 -> 370[label="",style="solid", color="blue", weight=3]; 952[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];298 -> 952[label="",style="solid", color="blue", weight=9]; 952 -> 371[label="",style="solid", color="blue", weight=3]; 953[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];298 -> 953[label="",style="solid", color="blue", weight=9]; 953 -> 372[label="",style="solid", color="blue", weight=3]; 954[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];298 -> 954[label="",style="solid", color="blue", weight=9]; 954 -> 373[label="",style="solid", color="blue", weight=3]; 955[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];298 -> 955[label="",style="solid", color="blue", weight=9]; 955 -> 374[label="",style="solid", color="blue", weight=3]; 956[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];298 -> 956[label="",style="solid", color="blue", weight=9]; 956 -> 375[label="",style="solid", color="blue", weight=3]; 957[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];298 -> 957[label="",style="solid", color="blue", weight=9]; 957 -> 376[label="",style="solid", color="blue", weight=3]; 958[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];298 -> 958[label="",style="solid", color="blue", weight=9]; 958 -> 377[label="",style="solid", color="blue", weight=3]; 959[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];298 -> 959[label="",style="solid", color="blue", weight=9]; 959 -> 378[label="",style="solid", color="blue", weight=3]; 299 -> 157[label="",style="dashed", color="red", weight=0]; 299[label="xv30 * xv401 == xv31 * xv400",fontsize=16,color="magenta"];299 -> 379[label="",style="dashed", color="magenta", weight=3]; 299 -> 380[label="",style="dashed", color="magenta", weight=3]; 300 -> 150[label="",style="dashed", color="red", weight=0]; 300[label="xv30 == xv400",fontsize=16,color="magenta"];300 -> 381[label="",style="dashed", color="magenta", weight=3]; 300 -> 382[label="",style="dashed", color="magenta", weight=3]; 301 -> 151[label="",style="dashed", color="red", weight=0]; 301[label="xv30 == xv400",fontsize=16,color="magenta"];301 -> 383[label="",style="dashed", color="magenta", weight=3]; 301 -> 384[label="",style="dashed", color="magenta", weight=3]; 302 -> 152[label="",style="dashed", color="red", weight=0]; 302[label="xv30 == xv400",fontsize=16,color="magenta"];302 -> 385[label="",style="dashed", color="magenta", weight=3]; 302 -> 386[label="",style="dashed", color="magenta", weight=3]; 303 -> 153[label="",style="dashed", color="red", weight=0]; 303[label="xv30 == xv400",fontsize=16,color="magenta"];303 -> 387[label="",style="dashed", color="magenta", weight=3]; 303 -> 388[label="",style="dashed", color="magenta", weight=3]; 304 -> 154[label="",style="dashed", color="red", weight=0]; 304[label="xv30 == xv400",fontsize=16,color="magenta"];304 -> 389[label="",style="dashed", color="magenta", weight=3]; 304 -> 390[label="",style="dashed", color="magenta", weight=3]; 305 -> 155[label="",style="dashed", color="red", weight=0]; 305[label="xv30 == xv400",fontsize=16,color="magenta"];305 -> 391[label="",style="dashed", color="magenta", weight=3]; 305 -> 392[label="",style="dashed", color="magenta", weight=3]; 306 -> 156[label="",style="dashed", color="red", weight=0]; 306[label="xv30 == xv400",fontsize=16,color="magenta"];306 -> 393[label="",style="dashed", color="magenta", weight=3]; 306 -> 394[label="",style="dashed", color="magenta", weight=3]; 307 -> 157[label="",style="dashed", color="red", weight=0]; 307[label="xv30 == xv400",fontsize=16,color="magenta"];307 -> 395[label="",style="dashed", color="magenta", weight=3]; 307 -> 396[label="",style="dashed", color="magenta", weight=3]; 308 -> 158[label="",style="dashed", color="red", weight=0]; 308[label="xv30 == xv400",fontsize=16,color="magenta"];308 -> 397[label="",style="dashed", color="magenta", weight=3]; 308 -> 398[label="",style="dashed", color="magenta", weight=3]; 309 -> 159[label="",style="dashed", color="red", weight=0]; 309[label="xv30 == xv400",fontsize=16,color="magenta"];309 -> 399[label="",style="dashed", color="magenta", weight=3]; 309 -> 400[label="",style="dashed", color="magenta", weight=3]; 310 -> 160[label="",style="dashed", color="red", weight=0]; 310[label="xv30 == xv400",fontsize=16,color="magenta"];310 -> 401[label="",style="dashed", color="magenta", weight=3]; 310 -> 402[label="",style="dashed", color="magenta", weight=3]; 311 -> 161[label="",style="dashed", color="red", weight=0]; 311[label="xv30 == xv400",fontsize=16,color="magenta"];311 -> 403[label="",style="dashed", color="magenta", weight=3]; 311 -> 404[label="",style="dashed", color="magenta", weight=3]; 312 -> 162[label="",style="dashed", color="red", weight=0]; 312[label="xv30 == xv400",fontsize=16,color="magenta"];312 -> 405[label="",style="dashed", color="magenta", weight=3]; 312 -> 406[label="",style="dashed", color="magenta", weight=3]; 313 -> 163[label="",style="dashed", color="red", weight=0]; 313[label="xv30 == xv400",fontsize=16,color="magenta"];313 -> 407[label="",style="dashed", color="magenta", weight=3]; 313 -> 408[label="",style="dashed", color="magenta", weight=3]; 314 -> 155[label="",style="dashed", color="red", weight=0]; 314[label="xv31 == xv401",fontsize=16,color="magenta"];314 -> 409[label="",style="dashed", color="magenta", weight=3]; 314 -> 410[label="",style="dashed", color="magenta", weight=3]; 315[label="xv30 == xv400",fontsize=16,color="blue",shape="box"];960[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];315 -> 960[label="",style="solid", color="blue", weight=9]; 960 -> 411[label="",style="solid", color="blue", weight=3]; 961[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];315 -> 961[label="",style="solid", color="blue", weight=9]; 961 -> 412[label="",style="solid", color="blue", weight=3]; 962[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];315 -> 962[label="",style="solid", color="blue", weight=9]; 962 -> 413[label="",style="solid", color="blue", weight=3]; 963[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];315 -> 963[label="",style="solid", color="blue", weight=9]; 963 -> 414[label="",style="solid", color="blue", weight=3]; 964[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];315 -> 964[label="",style="solid", color="blue", weight=9]; 964 -> 415[label="",style="solid", color="blue", weight=3]; 965[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];315 -> 965[label="",style="solid", color="blue", weight=9]; 965 -> 416[label="",style="solid", color="blue", weight=3]; 966[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];315 -> 966[label="",style="solid", color="blue", weight=9]; 966 -> 417[label="",style="solid", color="blue", weight=3]; 967[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];315 -> 967[label="",style="solid", color="blue", weight=9]; 967 -> 418[label="",style="solid", color="blue", weight=3]; 968[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];315 -> 968[label="",style="solid", color="blue", weight=9]; 968 -> 419[label="",style="solid", color="blue", weight=3]; 969[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];315 -> 969[label="",style="solid", color="blue", weight=9]; 969 -> 420[label="",style="solid", color="blue", weight=3]; 970[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];315 -> 970[label="",style="solid", color="blue", weight=9]; 970 -> 421[label="",style="solid", color="blue", weight=3]; 971[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];315 -> 971[label="",style="solid", color="blue", weight=9]; 971 -> 422[label="",style="solid", color="blue", weight=3]; 972[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];315 -> 972[label="",style="solid", color="blue", weight=9]; 972 -> 423[label="",style="solid", color="blue", weight=3]; 973[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];315 -> 973[label="",style="solid", color="blue", weight=9]; 973 -> 424[label="",style="solid", color="blue", weight=3]; 316[label="primEqInt (Pos (Succ xv300)) (Pos xv400)",fontsize=16,color="burlywood",shape="box"];974[label="xv400/Succ xv4000",fontsize=10,color="white",style="solid",shape="box"];316 -> 974[label="",style="solid", color="burlywood", weight=9]; 974 -> 425[label="",style="solid", color="burlywood", weight=3]; 975[label="xv400/Zero",fontsize=10,color="white",style="solid",shape="box"];316 -> 975[label="",style="solid", color="burlywood", weight=9]; 975 -> 426[label="",style="solid", color="burlywood", weight=3]; 317[label="primEqInt (Pos (Succ xv300)) (Neg xv400)",fontsize=16,color="black",shape="box"];317 -> 427[label="",style="solid", color="black", weight=3]; 318[label="primEqInt (Pos Zero) (Pos xv400)",fontsize=16,color="burlywood",shape="box"];976[label="xv400/Succ xv4000",fontsize=10,color="white",style="solid",shape="box"];318 -> 976[label="",style="solid", color="burlywood", weight=9]; 976 -> 428[label="",style="solid", color="burlywood", weight=3]; 977[label="xv400/Zero",fontsize=10,color="white",style="solid",shape="box"];318 -> 977[label="",style="solid", color="burlywood", weight=9]; 977 -> 429[label="",style="solid", color="burlywood", weight=3]; 319[label="primEqInt (Pos Zero) (Neg xv400)",fontsize=16,color="burlywood",shape="box"];978[label="xv400/Succ xv4000",fontsize=10,color="white",style="solid",shape="box"];319 -> 978[label="",style="solid", color="burlywood", weight=9]; 978 -> 430[label="",style="solid", color="burlywood", weight=3]; 979[label="xv400/Zero",fontsize=10,color="white",style="solid",shape="box"];319 -> 979[label="",style="solid", color="burlywood", weight=9]; 979 -> 431[label="",style="solid", color="burlywood", weight=3]; 320[label="primEqInt (Neg (Succ xv300)) (Pos xv400)",fontsize=16,color="black",shape="box"];320 -> 432[label="",style="solid", color="black", weight=3]; 321[label="primEqInt (Neg (Succ xv300)) (Neg xv400)",fontsize=16,color="burlywood",shape="box"];980[label="xv400/Succ xv4000",fontsize=10,color="white",style="solid",shape="box"];321 -> 980[label="",style="solid", color="burlywood", weight=9]; 980 -> 433[label="",style="solid", color="burlywood", weight=3]; 981[label="xv400/Zero",fontsize=10,color="white",style="solid",shape="box"];321 -> 981[label="",style="solid", color="burlywood", weight=9]; 981 -> 434[label="",style="solid", color="burlywood", weight=3]; 322[label="primEqInt (Neg Zero) (Pos xv400)",fontsize=16,color="burlywood",shape="box"];982[label="xv400/Succ xv4000",fontsize=10,color="white",style="solid",shape="box"];322 -> 982[label="",style="solid", color="burlywood", weight=9]; 982 -> 435[label="",style="solid", color="burlywood", weight=3]; 983[label="xv400/Zero",fontsize=10,color="white",style="solid",shape="box"];322 -> 983[label="",style="solid", color="burlywood", weight=9]; 983 -> 436[label="",style="solid", color="burlywood", weight=3]; 323[label="primEqInt (Neg Zero) (Neg xv400)",fontsize=16,color="burlywood",shape="box"];984[label="xv400/Succ xv4000",fontsize=10,color="white",style="solid",shape="box"];323 -> 984[label="",style="solid", color="burlywood", weight=9]; 984 -> 437[label="",style="solid", color="burlywood", weight=3]; 985[label="xv400/Zero",fontsize=10,color="white",style="solid",shape="box"];323 -> 985[label="",style="solid", color="burlywood", weight=9]; 985 -> 438[label="",style="solid", color="burlywood", weight=3]; 324[label="xv31 == xv401",fontsize=16,color="blue",shape="box"];986[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];324 -> 986[label="",style="solid", color="blue", weight=9]; 986 -> 439[label="",style="solid", color="blue", weight=3]; 987[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];324 -> 987[label="",style="solid", color="blue", weight=9]; 987 -> 440[label="",style="solid", color="blue", weight=3]; 988[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];324 -> 988[label="",style="solid", color="blue", weight=9]; 988 -> 441[label="",style="solid", color="blue", weight=3]; 989[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];324 -> 989[label="",style="solid", color="blue", weight=9]; 989 -> 442[label="",style="solid", color="blue", weight=3]; 990[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];324 -> 990[label="",style="solid", color="blue", weight=9]; 990 -> 443[label="",style="solid", color="blue", weight=3]; 991[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];324 -> 991[label="",style="solid", color="blue", weight=9]; 991 -> 444[label="",style="solid", color="blue", weight=3]; 992[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];324 -> 992[label="",style="solid", color="blue", weight=9]; 992 -> 445[label="",style="solid", color="blue", weight=3]; 993[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];324 -> 993[label="",style="solid", color="blue", weight=9]; 993 -> 446[label="",style="solid", color="blue", weight=3]; 994[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];324 -> 994[label="",style="solid", color="blue", weight=9]; 994 -> 447[label="",style="solid", color="blue", weight=3]; 995[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];324 -> 995[label="",style="solid", color="blue", weight=9]; 995 -> 448[label="",style="solid", color="blue", weight=3]; 996[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];324 -> 996[label="",style="solid", color="blue", weight=9]; 996 -> 449[label="",style="solid", color="blue", weight=3]; 997[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];324 -> 997[label="",style="solid", color="blue", weight=9]; 997 -> 450[label="",style="solid", color="blue", weight=3]; 998[label="== :: Ordering -> Ordering -> 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161[label="",style="dashed", color="red", weight=0]; 352[label="xv30 == xv400",fontsize=16,color="magenta"];352 -> 519[label="",style="dashed", color="magenta", weight=3]; 352 -> 520[label="",style="dashed", color="magenta", weight=3]; 353 -> 162[label="",style="dashed", color="red", weight=0]; 353[label="xv30 == xv400",fontsize=16,color="magenta"];353 -> 521[label="",style="dashed", color="magenta", weight=3]; 353 -> 522[label="",style="dashed", color="magenta", weight=3]; 354 -> 163[label="",style="dashed", color="red", weight=0]; 354[label="xv30 == xv400",fontsize=16,color="magenta"];354 -> 523[label="",style="dashed", color="magenta", weight=3]; 354 -> 524[label="",style="dashed", color="magenta", weight=3]; 355[label="xv400",fontsize=16,color="green",shape="box"];356[label="xv30",fontsize=16,color="green",shape="box"];357 -> 157[label="",style="dashed", color="red", weight=0]; 357[label="xv31 == xv401",fontsize=16,color="magenta"];357 -> 525[label="",style="dashed", 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381[label="xv400",fontsize=16,color="green",shape="box"];382[label="xv30",fontsize=16,color="green",shape="box"];383[label="xv400",fontsize=16,color="green",shape="box"];384[label="xv30",fontsize=16,color="green",shape="box"];385[label="xv400",fontsize=16,color="green",shape="box"];386[label="xv30",fontsize=16,color="green",shape="box"];387[label="xv400",fontsize=16,color="green",shape="box"];388[label="xv30",fontsize=16,color="green",shape="box"];389[label="xv400",fontsize=16,color="green",shape="box"];390[label="xv30",fontsize=16,color="green",shape="box"];391[label="xv400",fontsize=16,color="green",shape="box"];392[label="xv30",fontsize=16,color="green",shape="box"];393[label="xv400",fontsize=16,color="green",shape="box"];394[label="xv30",fontsize=16,color="green",shape="box"];395[label="xv400",fontsize=16,color="green",shape="box"];396[label="xv30",fontsize=16,color="green",shape="box"];397[label="xv400",fontsize=16,color="green",shape="box"];398[label="xv30",fontsize=16,color="green",shape="box"];399[label="xv400",fontsize=16,color="green",shape="box"];400[label="xv30",fontsize=16,color="green",shape="box"];401[label="xv400",fontsize=16,color="green",shape="box"];402[label="xv30",fontsize=16,color="green",shape="box"];403[label="xv400",fontsize=16,color="green",shape="box"];404[label="xv30",fontsize=16,color="green",shape="box"];405[label="xv400",fontsize=16,color="green",shape="box"];406[label="xv30",fontsize=16,color="green",shape="box"];407[label="xv400",fontsize=16,color="green",shape="box"];408[label="xv30",fontsize=16,color="green",shape="box"];409[label="xv401",fontsize=16,color="green",shape="box"];410[label="xv31",fontsize=16,color="green",shape="box"];411 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469[label="xv400",fontsize=16,color="green",shape="box"];470[label="xv30",fontsize=16,color="green",shape="box"];471[label="xv400",fontsize=16,color="green",shape="box"];472[label="xv30",fontsize=16,color="green",shape="box"];473[label="xv400",fontsize=16,color="green",shape="box"];474[label="xv30",fontsize=16,color="green",shape="box"];475[label="xv400",fontsize=16,color="green",shape="box"];476[label="xv30",fontsize=16,color="green",shape="box"];477[label="xv400",fontsize=16,color="green",shape="box"];478[label="xv30",fontsize=16,color="green",shape="box"];479[label="xv400",fontsize=16,color="green",shape="box"];480[label="xv30",fontsize=16,color="green",shape="box"];481[label="xv400",fontsize=16,color="green",shape="box"];482[label="xv30",fontsize=16,color="green",shape="box"];483[label="xv400",fontsize=16,color="green",shape="box"];484[label="xv30",fontsize=16,color="green",shape="box"];485[label="xv400",fontsize=16,color="green",shape="box"];486[label="xv30",fontsize=16,color="green",shape="box"];487[label="xv400",fontsize=16,color="green",shape="box"];488[label="xv30",fontsize=16,color="green",shape="box"];489[label="xv400",fontsize=16,color="green",shape="box"];490[label="xv30",fontsize=16,color="green",shape="box"];491[label="xv400",fontsize=16,color="green",shape="box"];492[label="xv30",fontsize=16,color="green",shape="box"];493[label="xv400",fontsize=16,color="green",shape="box"];494[label="xv30",fontsize=16,color="green",shape="box"];495[label="xv400",fontsize=16,color="green",shape="box"];496[label="xv30",fontsize=16,color="green",shape="box"];497[label="xv400",fontsize=16,color="green",shape="box"];498[label="xv30",fontsize=16,color="green",shape="box"];499[label="xv400",fontsize=16,color="green",shape="box"];500[label="xv30",fontsize=16,color="green",shape="box"];501[label="xv400",fontsize=16,color="green",shape="box"];502[label="xv30",fontsize=16,color="green",shape="box"];503[label="xv400",fontsize=16,color="green",shape="box"];504[label="xv30",fontsize=16,color="green",shape="box"];505[label="xv400",fontsize=16,color="green",shape="box"];506[label="xv30",fontsize=16,color="green",shape="box"];507[label="xv400",fontsize=16,color="green",shape="box"];508[label="xv30",fontsize=16,color="green",shape="box"];509[label="xv400",fontsize=16,color="green",shape="box"];510[label="xv30",fontsize=16,color="green",shape="box"];511[label="xv400",fontsize=16,color="green",shape="box"];512[label="xv30",fontsize=16,color="green",shape="box"];513[label="xv400",fontsize=16,color="green",shape="box"];514[label="xv30",fontsize=16,color="green",shape="box"];515[label="xv400",fontsize=16,color="green",shape="box"];516[label="xv30",fontsize=16,color="green",shape="box"];517[label="xv400",fontsize=16,color="green",shape="box"];518[label="xv30",fontsize=16,color="green",shape="box"];519[label="xv400",fontsize=16,color="green",shape="box"];520[label="xv30",fontsize=16,color="green",shape="box"];521[label="xv400",fontsize=16,color="green",shape="box"];522[label="xv30",fontsize=16,color="green",shape="box"];523[label="xv400",fontsize=16,color="green",shape="box"];524[label="xv30",fontsize=16,color="green",shape="box"];525[label="xv401",fontsize=16,color="green",shape="box"];526[label="xv31",fontsize=16,color="green",shape="box"];527[label="xv401",fontsize=16,color="green",shape="box"];528[label="xv31",fontsize=16,color="green",shape="box"];529[label="xv400",fontsize=16,color="green",shape="box"];530[label="xv30",fontsize=16,color="green",shape="box"];531[label="xv400",fontsize=16,color="green",shape="box"];532[label="xv30",fontsize=16,color="green",shape="box"];533[label="primEqNat 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565[label="xv400",fontsize=16,color="green",shape="box"];566[label="xv30",fontsize=16,color="green",shape="box"];567[label="xv400",fontsize=16,color="green",shape="box"];568[label="xv30",fontsize=16,color="green",shape="box"];569[label="xv400",fontsize=16,color="green",shape="box"];570[label="xv30",fontsize=16,color="green",shape="box"];571[label="xv400",fontsize=16,color="green",shape="box"];572[label="xv30",fontsize=16,color="green",shape="box"];573[label="xv400",fontsize=16,color="green",shape="box"];574[label="xv30",fontsize=16,color="green",shape="box"];575[label="xv400",fontsize=16,color="green",shape="box"];576[label="xv30",fontsize=16,color="green",shape="box"];577[label="xv400",fontsize=16,color="green",shape="box"];578[label="xv30",fontsize=16,color="green",shape="box"];579[label="xv400",fontsize=16,color="green",shape="box"];580[label="xv30",fontsize=16,color="green",shape="box"];581[label="xv400",fontsize=16,color="green",shape="box"];582[label="xv30",fontsize=16,color="green",shape="box"];583[label="xv400",fontsize=16,color="green",shape="box"];584[label="xv30",fontsize=16,color="green",shape="box"];585[label="xv400",fontsize=16,color="green",shape="box"];586[label="xv30",fontsize=16,color="green",shape="box"];587[label="xv400",fontsize=16,color="green",shape="box"];588[label="xv30",fontsize=16,color="green",shape="box"];589[label="xv400",fontsize=16,color="green",shape="box"];590[label="xv30",fontsize=16,color="green",shape="box"];591[label="xv400",fontsize=16,color="green",shape="box"];592[label="xv30",fontsize=16,color="green",shape="box"];593[label="primMulInt xv31 xv400",fontsize=16,color="burlywood",shape="box"];1046[label="xv31/Pos xv310",fontsize=10,color="white",style="solid",shape="box"];593 -> 1046[label="",style="solid", color="burlywood", weight=9]; 1046 -> 756[label="",style="solid", color="burlywood", weight=3]; 1047[label="xv31/Neg xv310",fontsize=10,color="white",style="solid",shape="box"];593 -> 1047[label="",style="solid", color="burlywood", weight=9]; 1047 -> 757[label="",style="solid", color="burlywood", weight=3]; 594[label="xv401",fontsize=16,color="green",shape="box"];595[label="xv30",fontsize=16,color="green",shape="box"];596[label="xv400",fontsize=16,color="green",shape="box"];597[label="xv30",fontsize=16,color="green",shape="box"];598[label="xv400",fontsize=16,color="green",shape="box"];599[label="xv30",fontsize=16,color="green",shape="box"];600[label="xv400",fontsize=16,color="green",shape="box"];601[label="xv30",fontsize=16,color="green",shape="box"];602[label="xv400",fontsize=16,color="green",shape="box"];603[label="xv30",fontsize=16,color="green",shape="box"];604[label="xv400",fontsize=16,color="green",shape="box"];605[label="xv30",fontsize=16,color="green",shape="box"];606[label="xv400",fontsize=16,color="green",shape="box"];607[label="xv30",fontsize=16,color="green",shape="box"];608[label="xv400",fontsize=16,color="green",shape="box"];609[label="xv30",fontsize=16,color="green",shape="box"];610[label="xv400",fontsize=16,color="green",shape="box"];611[label="xv30",fontsize=16,color="green",shape="box"];612[label="xv400",fontsize=16,color="green",shape="box"];613[label="xv30",fontsize=16,color="green",shape="box"];614[label="xv400",fontsize=16,color="green",shape="box"];615[label="xv30",fontsize=16,color="green",shape="box"];616[label="xv400",fontsize=16,color="green",shape="box"];617[label="xv30",fontsize=16,color="green",shape="box"];618[label="xv400",fontsize=16,color="green",shape="box"];619[label="xv30",fontsize=16,color="green",shape="box"];620[label="xv400",fontsize=16,color="green",shape="box"];621[label="xv30",fontsize=16,color="green",shape="box"];622[label="xv400",fontsize=16,color="green",shape="box"];623[label="xv30",fontsize=16,color="green",shape="box"];624 -> 296[label="",style="dashed", color="red", weight=0]; 624[label="primEqNat xv300 xv4000",fontsize=16,color="magenta"];624 -> 758[label="",style="dashed", color="magenta", weight=3]; 624 -> 759[label="",style="dashed", color="magenta", weight=3]; 625[label="False",fontsize=16,color="green",shape="box"];626[label="False",fontsize=16,color="green",shape="box"];627[label="True",fontsize=16,color="green",shape="box"];628[label="False",fontsize=16,color="green",shape="box"];629[label="True",fontsize=16,color="green",shape="box"];630 -> 296[label="",style="dashed", color="red", weight=0]; 630[label="primEqNat xv300 xv4000",fontsize=16,color="magenta"];630 -> 760[label="",style="dashed", color="magenta", weight=3]; 630 -> 761[label="",style="dashed", color="magenta", weight=3]; 631[label="False",fontsize=16,color="green",shape="box"];632[label="False",fontsize=16,color="green",shape="box"];633[label="True",fontsize=16,color="green",shape="box"];634[label="False",fontsize=16,color="green",shape="box"];635[label="True",fontsize=16,color="green",shape="box"];636[label="xv401",fontsize=16,color="green",shape="box"];637[label="xv31",fontsize=16,color="green",shape="box"];638[label="xv401",fontsize=16,color="green",shape="box"];639[label="xv31",fontsize=16,color="green",shape="box"];640[label="xv401",fontsize=16,color="green",shape="box"];641[label="xv31",fontsize=16,color="green",shape="box"];642[label="xv401",fontsize=16,color="green",shape="box"];643[label="xv31",fontsize=16,color="green",shape="box"];644[label="xv401",fontsize=16,color="green",shape="box"];645[label="xv31",fontsize=16,color="green",shape="box"];646[label="xv401",fontsize=16,color="green",shape="box"];647[label="xv31",fontsize=16,color="green",shape="box"];648[label="xv401",fontsize=16,color="green",shape="box"];649[label="xv31",fontsize=16,color="green",shape="box"];650[label="xv401",fontsize=16,color="green",shape="box"];651[label="xv31",fontsize=16,color="green",shape="box"];652[label="xv401",fontsize=16,color="green",shape="box"];653[label="xv31",fontsize=16,color="green",shape="box"];654[label="xv401",fontsize=16,color="green",shape="box"];655[label="xv31",fontsize=16,color="green",shape="box"];656[label="xv401",fontsize=16,color="green",shape="box"];657[label="xv31",fontsize=16,color="green",shape="box"];658[label="xv401",fontsize=16,color="green",shape="box"];659[label="xv31",fontsize=16,color="green",shape="box"];660[label="xv401",fontsize=16,color="green",shape="box"];661[label="xv31",fontsize=16,color="green",shape="box"];662[label="xv401",fontsize=16,color="green",shape="box"];663[label="xv31",fontsize=16,color="green",shape="box"];664[label="xv400",fontsize=16,color="green",shape="box"];665[label="xv30",fontsize=16,color="green",shape="box"];666[label="xv400",fontsize=16,color="green",shape="box"];667[label="xv30",fontsize=16,color="green",shape="box"];668[label="xv400",fontsize=16,color="green",shape="box"];669[label="xv30",fontsize=16,color="green",shape="box"];670[label="xv400",fontsize=16,color="green",shape="box"];671[label="xv30",fontsize=16,color="green",shape="box"];672[label="xv400",fontsize=16,color="green",shape="box"];673[label="xv30",fontsize=16,color="green",shape="box"];674[label="xv400",fontsize=16,color="green",shape="box"];675[label="xv30",fontsize=16,color="green",shape="box"];676[label="xv400",fontsize=16,color="green",shape="box"];677[label="xv30",fontsize=16,color="green",shape="box"];678[label="xv400",fontsize=16,color="green",shape="box"];679[label="xv30",fontsize=16,color="green",shape="box"];680[label="xv400",fontsize=16,color="green",shape="box"];681[label="xv30",fontsize=16,color="green",shape="box"];682[label="xv400",fontsize=16,color="green",shape="box"];683[label="xv30",fontsize=16,color="green",shape="box"];684[label="xv400",fontsize=16,color="green",shape="box"];685[label="xv30",fontsize=16,color="green",shape="box"];686[label="xv400",fontsize=16,color="green",shape="box"];687[label="xv30",fontsize=16,color="green",shape="box"];688[label="xv400",fontsize=16,color="green",shape="box"];689[label="xv30",fontsize=16,color="green",shape="box"];690[label="xv400",fontsize=16,color="green",shape="box"];691[label="xv30",fontsize=16,color="green",shape="box"];692[label="xv400",fontsize=16,color="green",shape="box"];693[label="xv31",fontsize=16,color="green",shape="box"];694[label="xv401",fontsize=16,color="green",shape="box"];695[label="xv30",fontsize=16,color="green",shape="box"];696 -> 296[label="",style="dashed", color="red", weight=0]; 696[label="primEqNat xv300 xv4000",fontsize=16,color="magenta"];696 -> 762[label="",style="dashed", color="magenta", weight=3]; 696 -> 763[label="",style="dashed", color="magenta", weight=3]; 697[label="False",fontsize=16,color="green",shape="box"];698[label="False",fontsize=16,color="green",shape="box"];699[label="True",fontsize=16,color="green",shape="box"];700[label="xv402",fontsize=16,color="green",shape="box"];701[label="xv32",fontsize=16,color="green",shape="box"];702[label="xv402",fontsize=16,color="green",shape="box"];703[label="xv32",fontsize=16,color="green",shape="box"];704[label="xv402",fontsize=16,color="green",shape="box"];705[label="xv32",fontsize=16,color="green",shape="box"];706[label="xv402",fontsize=16,color="green",shape="box"];707[label="xv32",fontsize=16,color="green",shape="box"];708[label="xv402",fontsize=16,color="green",shape="box"];709[label="xv32",fontsize=16,color="green",shape="box"];710[label="xv402",fontsize=16,color="green",shape="box"];711[label="xv32",fontsize=16,color="green",shape="box"];712[label="xv402",fontsize=16,color="green",shape="box"];713[label="xv32",fontsize=16,color="green",shape="box"];714[label="xv402",fontsize=16,color="green",shape="box"];715[label="xv32",fontsize=16,color="green",shape="box"];716[label="xv402",fontsize=16,color="green",shape="box"];717[label="xv32",fontsize=16,color="green",shape="box"];718[label="xv402",fontsize=16,color="green",shape="box"];719[label="xv32",fontsize=16,color="green",shape="box"];720[label="xv402",fontsize=16,color="green",shape="box"];721[label="xv32",fontsize=16,color="green",shape="box"];722[label="xv402",fontsize=16,color="green",shape="box"];723[label="xv32",fontsize=16,color="green",shape="box"];724[label="xv402",fontsize=16,color="green",shape="box"];725[label="xv32",fontsize=16,color="green",shape="box"];726[label="xv402",fontsize=16,color="green",shape="box"];727[label="xv32",fontsize=16,color="green",shape="box"];728[label="xv401",fontsize=16,color="green",shape="box"];729[label="xv31",fontsize=16,color="green",shape="box"];730[label="xv401",fontsize=16,color="green",shape="box"];731[label="xv31",fontsize=16,color="green",shape="box"];732[label="xv401",fontsize=16,color="green",shape="box"];733[label="xv31",fontsize=16,color="green",shape="box"];734[label="xv401",fontsize=16,color="green",shape="box"];735[label="xv31",fontsize=16,color="green",shape="box"];736[label="xv401",fontsize=16,color="green",shape="box"];737[label="xv31",fontsize=16,color="green",shape="box"];738[label="xv401",fontsize=16,color="green",shape="box"];739[label="xv31",fontsize=16,color="green",shape="box"];740[label="xv401",fontsize=16,color="green",shape="box"];741[label="xv31",fontsize=16,color="green",shape="box"];742[label="xv401",fontsize=16,color="green",shape="box"];743[label="xv31",fontsize=16,color="green",shape="box"];744[label="xv401",fontsize=16,color="green",shape="box"];745[label="xv31",fontsize=16,color="green",shape="box"];746[label="xv401",fontsize=16,color="green",shape="box"];747[label="xv31",fontsize=16,color="green",shape="box"];748[label="xv401",fontsize=16,color="green",shape="box"];749[label="xv31",fontsize=16,color="green",shape="box"];750[label="xv401",fontsize=16,color="green",shape="box"];751[label="xv31",fontsize=16,color="green",shape="box"];752[label="xv401",fontsize=16,color="green",shape="box"];753[label="xv31",fontsize=16,color="green",shape="box"];754[label="xv401",fontsize=16,color="green",shape="box"];755[label="xv31",fontsize=16,color="green",shape="box"];756[label="primMulInt (Pos xv310) xv400",fontsize=16,color="burlywood",shape="box"];1048[label="xv400/Pos xv4000",fontsize=10,color="white",style="solid",shape="box"];756 -> 1048[label="",style="solid", color="burlywood", weight=9]; 1048 -> 764[label="",style="solid", color="burlywood", weight=3]; 1049[label="xv400/Neg xv4000",fontsize=10,color="white",style="solid",shape="box"];756 -> 1049[label="",style="solid", color="burlywood", weight=9]; 1049 -> 765[label="",style="solid", color="burlywood", weight=3]; 757[label="primMulInt (Neg xv310) xv400",fontsize=16,color="burlywood",shape="box"];1050[label="xv400/Pos xv4000",fontsize=10,color="white",style="solid",shape="box"];757 -> 1050[label="",style="solid", color="burlywood", weight=9]; 1050 -> 766[label="",style="solid", color="burlywood", weight=3]; 1051[label="xv400/Neg xv4000",fontsize=10,color="white",style="solid",shape="box"];757 -> 1051[label="",style="solid", color="burlywood", weight=9]; 1051 -> 767[label="",style="solid", color="burlywood", weight=3]; 758[label="xv4000",fontsize=16,color="green",shape="box"];759[label="xv300",fontsize=16,color="green",shape="box"];760[label="xv4000",fontsize=16,color="green",shape="box"];761[label="xv300",fontsize=16,color="green",shape="box"];762[label="xv4000",fontsize=16,color="green",shape="box"];763[label="xv300",fontsize=16,color="green",shape="box"];764[label="primMulInt (Pos xv310) (Pos xv4000)",fontsize=16,color="black",shape="box"];764 -> 768[label="",style="solid", color="black", weight=3]; 765[label="primMulInt (Pos xv310) (Neg xv4000)",fontsize=16,color="black",shape="box"];765 -> 769[label="",style="solid", color="black", weight=3]; 766[label="primMulInt (Neg xv310) (Pos xv4000)",fontsize=16,color="black",shape="box"];766 -> 770[label="",style="solid", color="black", weight=3]; 767[label="primMulInt (Neg xv310) (Neg xv4000)",fontsize=16,color="black",shape="box"];767 -> 771[label="",style="solid", color="black", weight=3]; 768[label="Pos (primMulNat xv310 xv4000)",fontsize=16,color="green",shape="box"];768 -> 772[label="",style="dashed", color="green", weight=3]; 769[label="Neg (primMulNat xv310 xv4000)",fontsize=16,color="green",shape="box"];769 -> 773[label="",style="dashed", color="green", weight=3]; 770[label="Neg (primMulNat xv310 xv4000)",fontsize=16,color="green",shape="box"];770 -> 774[label="",style="dashed", color="green", weight=3]; 771[label="Pos (primMulNat xv310 xv4000)",fontsize=16,color="green",shape="box"];771 -> 775[label="",style="dashed", color="green", weight=3]; 772[label="primMulNat xv310 xv4000",fontsize=16,color="burlywood",shape="triangle"];1052[label="xv310/Succ xv3100",fontsize=10,color="white",style="solid",shape="box"];772 -> 1052[label="",style="solid", color="burlywood", weight=9]; 1052 -> 776[label="",style="solid", color="burlywood", weight=3]; 1053[label="xv310/Zero",fontsize=10,color="white",style="solid",shape="box"];772 -> 1053[label="",style="solid", color="burlywood", weight=9]; 1053 -> 777[label="",style="solid", color="burlywood", weight=3]; 773 -> 772[label="",style="dashed", color="red", weight=0]; 773[label="primMulNat xv310 xv4000",fontsize=16,color="magenta"];773 -> 778[label="",style="dashed", color="magenta", weight=3]; 774 -> 772[label="",style="dashed", color="red", weight=0]; 774[label="primMulNat xv310 xv4000",fontsize=16,color="magenta"];774 -> 779[label="",style="dashed", color="magenta", weight=3]; 775 -> 772[label="",style="dashed", color="red", weight=0]; 775[label="primMulNat xv310 xv4000",fontsize=16,color="magenta"];775 -> 780[label="",style="dashed", color="magenta", weight=3]; 775 -> 781[label="",style="dashed", color="magenta", weight=3]; 776[label="primMulNat (Succ xv3100) xv4000",fontsize=16,color="burlywood",shape="box"];1054[label="xv4000/Succ xv40000",fontsize=10,color="white",style="solid",shape="box"];776 -> 1054[label="",style="solid", color="burlywood", weight=9]; 1054 -> 782[label="",style="solid", color="burlywood", weight=3]; 1055[label="xv4000/Zero",fontsize=10,color="white",style="solid",shape="box"];776 -> 1055[label="",style="solid", color="burlywood", weight=9]; 1055 -> 783[label="",style="solid", color="burlywood", weight=3]; 777[label="primMulNat Zero xv4000",fontsize=16,color="burlywood",shape="box"];1056[label="xv4000/Succ xv40000",fontsize=10,color="white",style="solid",shape="box"];777 -> 1056[label="",style="solid", color="burlywood", weight=9]; 1056 -> 784[label="",style="solid", color="burlywood", weight=3]; 1057[label="xv4000/Zero",fontsize=10,color="white",style="solid",shape="box"];777 -> 1057[label="",style="solid", color="burlywood", weight=9]; 1057 -> 785[label="",style="solid", color="burlywood", weight=3]; 778[label="xv4000",fontsize=16,color="green",shape="box"];779[label="xv310",fontsize=16,color="green",shape="box"];780[label="xv310",fontsize=16,color="green",shape="box"];781[label="xv4000",fontsize=16,color="green",shape="box"];782[label="primMulNat (Succ xv3100) (Succ xv40000)",fontsize=16,color="black",shape="box"];782 -> 786[label="",style="solid", color="black", weight=3]; 783[label="primMulNat (Succ xv3100) Zero",fontsize=16,color="black",shape="box"];783 -> 787[label="",style="solid", color="black", weight=3]; 784[label="primMulNat Zero (Succ xv40000)",fontsize=16,color="black",shape="box"];784 -> 788[label="",style="solid", color="black", weight=3]; 785[label="primMulNat Zero Zero",fontsize=16,color="black",shape="box"];785 -> 789[label="",style="solid", color="black", weight=3]; 786 -> 790[label="",style="dashed", color="red", weight=0]; 786[label="primPlusNat (primMulNat xv3100 (Succ xv40000)) (Succ xv40000)",fontsize=16,color="magenta"];786 -> 791[label="",style="dashed", color="magenta", weight=3]; 787[label="Zero",fontsize=16,color="green",shape="box"];788[label="Zero",fontsize=16,color="green",shape="box"];789[label="Zero",fontsize=16,color="green",shape="box"];791 -> 772[label="",style="dashed", color="red", weight=0]; 791[label="primMulNat xv3100 (Succ xv40000)",fontsize=16,color="magenta"];791 -> 792[label="",style="dashed", color="magenta", weight=3]; 791 -> 793[label="",style="dashed", color="magenta", weight=3]; 790[label="primPlusNat xv12 (Succ xv40000)",fontsize=16,color="burlywood",shape="triangle"];1058[label="xv12/Succ xv120",fontsize=10,color="white",style="solid",shape="box"];790 -> 1058[label="",style="solid", color="burlywood", weight=9]; 1058 -> 794[label="",style="solid", color="burlywood", weight=3]; 1059[label="xv12/Zero",fontsize=10,color="white",style="solid",shape="box"];790 -> 1059[label="",style="solid", color="burlywood", weight=9]; 1059 -> 795[label="",style="solid", color="burlywood", weight=3]; 792[label="xv3100",fontsize=16,color="green",shape="box"];793[label="Succ xv40000",fontsize=16,color="green",shape="box"];794[label="primPlusNat (Succ xv120) (Succ xv40000)",fontsize=16,color="black",shape="box"];794 -> 796[label="",style="solid", color="black", weight=3]; 795[label="primPlusNat Zero (Succ xv40000)",fontsize=16,color="black",shape="box"];795 -> 797[label="",style="solid", color="black", weight=3]; 796[label="Succ (Succ (primPlusNat xv120 xv40000))",fontsize=16,color="green",shape="box"];796 -> 798[label="",style="dashed", color="green", weight=3]; 797[label="Succ xv40000",fontsize=16,color="green",shape="box"];798[label="primPlusNat xv120 xv40000",fontsize=16,color="burlywood",shape="triangle"];1060[label="xv120/Succ xv1200",fontsize=10,color="white",style="solid",shape="box"];798 -> 1060[label="",style="solid", color="burlywood", weight=9]; 1060 -> 799[label="",style="solid", color="burlywood", weight=3]; 1061[label="xv120/Zero",fontsize=10,color="white",style="solid",shape="box"];798 -> 1061[label="",style="solid", color="burlywood", weight=9]; 1061 -> 800[label="",style="solid", color="burlywood", weight=3]; 799[label="primPlusNat (Succ xv1200) xv40000",fontsize=16,color="burlywood",shape="box"];1062[label="xv40000/Succ xv400000",fontsize=10,color="white",style="solid",shape="box"];799 -> 1062[label="",style="solid", color="burlywood", weight=9]; 1062 -> 801[label="",style="solid", color="burlywood", weight=3]; 1063[label="xv40000/Zero",fontsize=10,color="white",style="solid",shape="box"];799 -> 1063[label="",style="solid", color="burlywood", weight=9]; 1063 -> 802[label="",style="solid", color="burlywood", weight=3]; 800[label="primPlusNat Zero xv40000",fontsize=16,color="burlywood",shape="box"];1064[label="xv40000/Succ xv400000",fontsize=10,color="white",style="solid",shape="box"];800 -> 1064[label="",style="solid", color="burlywood", weight=9]; 1064 -> 803[label="",style="solid", color="burlywood", weight=3]; 1065[label="xv40000/Zero",fontsize=10,color="white",style="solid",shape="box"];800 -> 1065[label="",style="solid", color="burlywood", weight=9]; 1065 -> 804[label="",style="solid", color="burlywood", weight=3]; 801[label="primPlusNat (Succ xv1200) (Succ xv400000)",fontsize=16,color="black",shape="box"];801 -> 805[label="",style="solid", color="black", weight=3]; 802[label="primPlusNat (Succ xv1200) Zero",fontsize=16,color="black",shape="box"];802 -> 806[label="",style="solid", color="black", weight=3]; 803[label="primPlusNat Zero (Succ xv400000)",fontsize=16,color="black",shape="box"];803 -> 807[label="",style="solid", color="black", weight=3]; 804[label="primPlusNat Zero Zero",fontsize=16,color="black",shape="box"];804 -> 808[label="",style="solid", color="black", weight=3]; 805[label="Succ (Succ (primPlusNat xv1200 xv400000))",fontsize=16,color="green",shape="box"];805 -> 809[label="",style="dashed", color="green", weight=3]; 806[label="Succ xv1200",fontsize=16,color="green",shape="box"];807[label="Succ xv400000",fontsize=16,color="green",shape="box"];808[label="Zero",fontsize=16,color="green",shape="box"];809 -> 798[label="",style="dashed", color="red", weight=0]; 809[label="primPlusNat xv1200 xv400000",fontsize=16,color="magenta"];809 -> 810[label="",style="dashed", color="magenta", weight=3]; 809 -> 811[label="",style="dashed", color="magenta", weight=3]; 810[label="xv400000",fontsize=16,color="green",shape="box"];811[label="xv1200",fontsize=16,color="green",shape="box"];} ---------------------------------------- (6) Complex Obligation (AND) ---------------------------------------- (7) Obligation: Q DP problem: The TRS P consists of the following rules: new_esEs(@3(xv30, xv31, xv32), @3(xv400, xv401, xv402), h, app(app(ty_@2, db), dc), cf) -> new_esEs2(xv31, xv401, db, dc) new_esEs3(Left(xv30), Left(xv400), app(app(ty_Either, bcg), bch), bcb) -> new_esEs3(xv30, xv400, bcg, bch) new_esEs(@3(xv30, xv31, xv32), @3(xv400, xv401, xv402), h, ba, app(app(ty_@2, bg), bh)) -> new_esEs2(xv32, xv402, bg, bh) new_esEs3(Right(xv30), Right(xv400), bda, app(ty_[], bdf)) -> new_esEs1(xv30, xv400, bdf) new_esEs(@3(xv30, xv31, xv32), @3(xv400, xv401, xv402), h, ba, app(ty_[], bf)) -> new_esEs1(xv32, xv402, bf) new_esEs(@3(xv30, xv31, xv32), @3(xv400, xv401, xv402), h, ba, app(app(app(ty_@3, bb), bc), bd)) -> new_esEs(xv32, xv402, bb, bc, bd) new_esEs(@3(xv30, xv31, xv32), @3(xv400, xv401, xv402), app(ty_[], eb), ba, cf) -> new_esEs1(xv30, xv400, eb) new_esEs2(@2(xv30, xv31), @2(xv400, xv401), hc, app(app(ty_@2, baa), bab)) -> new_esEs2(xv31, xv401, baa, bab) new_esEs1(:(xv30, xv31), :(xv400, xv401), app(ty_Maybe, ge)) -> new_esEs0(xv30, xv400, ge) new_esEs2(@2(xv30, xv31), @2(xv400, xv401), app(app(ty_Either, bbe), bbf), bah) -> new_esEs3(xv30, xv400, bbe, bbf) new_esEs2(@2(xv30, xv31), @2(xv400, xv401), app(app(app(ty_@3, bae), baf), bag), bah) -> new_esEs(xv30, xv400, bae, baf, bag) new_esEs(@3(xv30, xv31, xv32), @3(xv400, xv401, xv402), h, app(ty_[], da), cf) -> new_esEs1(xv31, xv401, da) new_esEs1(:(xv30, xv31), :(xv400, xv401), app(app(app(ty_@3, gb), gc), gd)) -> new_esEs(xv30, xv400, gb, gc, gd) new_esEs1(:(xv30, xv31), :(xv400, xv401), app(app(ty_Either, ha), hb)) -> new_esEs3(xv30, xv400, ha, hb) new_esEs(@3(xv30, xv31, xv32), @3(xv400, xv401, xv402), app(app(ty_Either, ee), ef), ba, cf) -> new_esEs3(xv30, xv400, ee, ef) new_esEs(@3(xv30, xv31, xv32), @3(xv400, xv401, xv402), app(ty_Maybe, ea), ba, cf) -> new_esEs0(xv30, xv400, ea) new_esEs3(Right(xv30), Right(xv400), bda, app(app(ty_@2, bdg), bdh)) -> new_esEs2(xv30, xv400, bdg, bdh) new_esEs0(Just(xv30), Just(xv400), app(app(ty_@2, fd), ff)) -> new_esEs2(xv30, xv400, fd, ff) new_esEs2(@2(xv30, xv31), @2(xv400, xv401), app(ty_Maybe, bba), bah) -> new_esEs0(xv30, xv400, bba) new_esEs(@3(xv30, xv31, xv32), @3(xv400, xv401, xv402), h, app(ty_Maybe, cg), cf) -> new_esEs0(xv31, xv401, cg) new_esEs0(Just(xv30), Just(xv400), app(app(ty_Either, fg), fh)) -> new_esEs3(xv30, xv400, fg, fh) new_esEs2(@2(xv30, xv31), @2(xv400, xv401), app(app(ty_@2, bbc), bbd), bah) -> new_esEs2(xv30, xv400, bbc, bbd) new_esEs3(Right(xv30), Right(xv400), bda, app(app(ty_Either, bea), beb)) -> new_esEs3(xv30, xv400, bea, beb) new_esEs(@3(xv30, xv31, xv32), @3(xv400, xv401, xv402), h, app(app(app(ty_@3, cc), cd), ce), cf) -> new_esEs(xv31, xv401, cc, cd, ce) new_esEs2(@2(xv30, xv31), @2(xv400, xv401), hc, app(ty_[], hh)) -> new_esEs1(xv31, xv401, hh) new_esEs(@3(xv30, xv31, xv32), @3(xv400, xv401, xv402), h, ba, app(ty_Maybe, be)) -> new_esEs0(xv32, xv402, be) new_esEs3(Left(xv30), Left(xv400), app(app(app(ty_@3, bbg), bbh), bca), bcb) -> new_esEs(xv30, xv400, bbg, bbh, bca) new_esEs(@3(xv30, xv31, xv32), @3(xv400, xv401, xv402), h, app(app(ty_Either, dd), de), cf) -> new_esEs3(xv31, xv401, dd, de) new_esEs(@3(xv30, xv31, xv32), @3(xv400, xv401, xv402), app(app(ty_@2, ec), ed), ba, cf) -> new_esEs2(xv30, xv400, ec, ed) new_esEs2(@2(xv30, xv31), @2(xv400, xv401), hc, app(app(ty_Either, bac), bad)) -> new_esEs3(xv31, xv401, bac, bad) new_esEs2(@2(xv30, xv31), @2(xv400, xv401), app(ty_[], bbb), bah) -> new_esEs1(xv30, xv400, bbb) new_esEs2(@2(xv30, xv31), @2(xv400, xv401), hc, app(app(app(ty_@3, hd), he), hf)) -> new_esEs(xv31, xv401, hd, he, hf) new_esEs3(Right(xv30), Right(xv400), bda, app(ty_Maybe, bde)) -> new_esEs0(xv30, xv400, bde) new_esEs(@3(xv30, xv31, xv32), @3(xv400, xv401, xv402), h, ba, app(app(ty_Either, ca), cb)) -> new_esEs3(xv32, xv402, ca, cb) new_esEs3(Right(xv30), Right(xv400), bda, app(app(app(ty_@3, bdb), bdc), bdd)) -> new_esEs(xv30, xv400, bdb, bdc, bdd) new_esEs1(:(xv30, xv31), :(xv400, xv401), app(app(ty_@2, gg), gh)) -> new_esEs2(xv30, xv400, gg, gh) new_esEs2(@2(xv30, xv31), @2(xv400, xv401), hc, app(ty_Maybe, hg)) -> new_esEs0(xv31, xv401, hg) new_esEs3(Left(xv30), Left(xv400), app(app(ty_@2, bce), bcf), bcb) -> new_esEs2(xv30, xv400, bce, bcf) new_esEs3(Left(xv30), Left(xv400), app(ty_[], bcd), bcb) -> new_esEs1(xv30, xv400, bcd) new_esEs1(:(xv30, xv31), :(xv400, xv401), ga) -> new_esEs1(xv31, xv401, ga) new_esEs(@3(xv30, xv31, xv32), @3(xv400, xv401, xv402), app(app(app(ty_@3, df), dg), dh), ba, cf) -> new_esEs(xv30, xv400, df, dg, dh) new_esEs1(:(xv30, xv31), :(xv400, xv401), app(ty_[], gf)) -> new_esEs1(xv30, xv400, gf) new_esEs3(Left(xv30), Left(xv400), app(ty_Maybe, bcc), bcb) -> new_esEs0(xv30, xv400, bcc) new_esEs0(Just(xv30), Just(xv400), app(ty_Maybe, fb)) -> new_esEs0(xv30, xv400, fb) new_esEs0(Just(xv30), Just(xv400), app(app(app(ty_@3, eg), eh), fa)) -> new_esEs(xv30, xv400, eg, eh, fa) new_esEs0(Just(xv30), Just(xv400), app(ty_[], fc)) -> new_esEs1(xv30, xv400, fc) 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(:(xv30, xv31), :(xv400, xv401), app(app(app(ty_@3, gb), gc), gd)) -> new_esEs(xv30, xv400, gb, gc, gd) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 *new_esEs1(:(xv30, xv31), :(xv400, xv401), app(app(ty_Either, ha), hb)) -> new_esEs3(xv30, xv400, ha, hb) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs0(Just(xv30), Just(xv400), app(app(app(ty_@3, eg), eh), fa)) -> new_esEs(xv30, xv400, eg, eh, fa) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 *new_esEs0(Just(xv30), Just(xv400), app(app(ty_Either, fg), fh)) -> new_esEs3(xv30, xv400, fg, fh) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs1(:(xv30, xv31), :(xv400, xv401), app(app(ty_@2, gg), gh)) -> new_esEs2(xv30, xv400, gg, gh) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs0(Just(xv30), Just(xv400), app(app(ty_@2, fd), ff)) -> new_esEs2(xv30, xv400, fd, ff) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs1(:(xv30, xv31), :(xv400, xv401), app(ty_Maybe, ge)) -> new_esEs0(xv30, xv400, ge) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs0(Just(xv30), Just(xv400), app(ty_[], fc)) -> new_esEs1(xv30, xv400, fc) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs0(Just(xv30), Just(xv400), app(ty_Maybe, fb)) -> new_esEs0(xv30, xv400, fb) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs2(@2(xv30, xv31), @2(xv400, xv401), app(app(app(ty_@3, bae), baf), bag), bah) -> new_esEs(xv30, xv400, bae, baf, bag) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 *new_esEs2(@2(xv30, xv31), @2(xv400, xv401), hc, app(app(app(ty_@3, hd), he), hf)) -> new_esEs(xv31, xv401, hd, he, hf) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4, 4 > 5 *new_esEs2(@2(xv30, xv31), @2(xv400, xv401), app(app(ty_Either, bbe), bbf), bah) -> new_esEs3(xv30, xv400, bbe, bbf) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs2(@2(xv30, xv31), @2(xv400, xv401), hc, app(app(ty_Either, bac), bad)) -> new_esEs3(xv31, xv401, bac, bad) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 *new_esEs2(@2(xv30, xv31), @2(xv400, xv401), hc, app(app(ty_@2, baa), bab)) -> new_esEs2(xv31, xv401, baa, bab) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 *new_esEs2(@2(xv30, xv31), @2(xv400, xv401), app(app(ty_@2, bbc), bbd), bah) -> new_esEs2(xv30, xv400, bbc, bbd) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs2(@2(xv30, xv31), @2(xv400, xv401), hc, app(ty_[], hh)) -> new_esEs1(xv31, xv401, hh) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 *new_esEs2(@2(xv30, xv31), @2(xv400, xv401), app(ty_[], bbb), bah) -> new_esEs1(xv30, xv400, bbb) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs2(@2(xv30, xv31), @2(xv400, xv401), app(ty_Maybe, bba), bah) -> new_esEs0(xv30, xv400, bba) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs2(@2(xv30, xv31), @2(xv400, xv401), hc, app(ty_Maybe, hg)) -> new_esEs0(xv31, xv401, hg) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 *new_esEs3(Left(xv30), Left(xv400), app(app(app(ty_@3, bbg), bbh), bca), bcb) -> new_esEs(xv30, xv400, bbg, bbh, bca) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 *new_esEs3(Right(xv30), Right(xv400), bda, app(app(app(ty_@3, bdb), bdc), bdd)) -> new_esEs(xv30, xv400, bdb, bdc, bdd) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4, 4 > 5 *new_esEs(@3(xv30, xv31, xv32), @3(xv400, xv401, xv402), h, ba, app(app(app(ty_@3, bb), bc), bd)) -> new_esEs(xv32, xv402, bb, bc, bd) The graph contains the following edges 1 > 1, 2 > 2, 5 > 3, 5 > 4, 5 > 5 *new_esEs(@3(xv30, xv31, xv32), @3(xv400, xv401, xv402), h, app(app(app(ty_@3, cc), cd), ce), cf) -> new_esEs(xv31, xv401, cc, cd, ce) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4, 4 > 5 *new_esEs(@3(xv30, xv31, xv32), @3(xv400, xv401, xv402), app(app(app(ty_@3, df), dg), dh), ba, cf) -> new_esEs(xv30, xv400, df, dg, dh) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 *new_esEs3(Left(xv30), Left(xv400), app(app(ty_Either, bcg), bch), bcb) -> new_esEs3(xv30, xv400, bcg, bch) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs3(Right(xv30), Right(xv400), bda, app(app(ty_Either, bea), beb)) -> new_esEs3(xv30, xv400, bea, beb) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 *new_esEs3(Right(xv30), Right(xv400), bda, app(app(ty_@2, bdg), bdh)) -> new_esEs2(xv30, xv400, bdg, bdh) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 *new_esEs3(Left(xv30), Left(xv400), app(app(ty_@2, bce), bcf), bcb) -> new_esEs2(xv30, xv400, bce, bcf) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs3(Right(xv30), Right(xv400), bda, app(ty_[], bdf)) -> new_esEs1(xv30, xv400, bdf) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 *new_esEs3(Left(xv30), Left(xv400), app(ty_[], bcd), bcb) -> new_esEs1(xv30, xv400, bcd) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs3(Right(xv30), Right(xv400), bda, app(ty_Maybe, bde)) -> new_esEs0(xv30, xv400, bde) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 *new_esEs3(Left(xv30), Left(xv400), app(ty_Maybe, bcc), bcb) -> new_esEs0(xv30, xv400, bcc) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs(@3(xv30, xv31, xv32), @3(xv400, xv401, xv402), app(app(ty_Either, ee), ef), ba, cf) -> new_esEs3(xv30, xv400, ee, ef) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs(@3(xv30, xv31, xv32), @3(xv400, xv401, xv402), h, app(app(ty_Either, dd), de), cf) -> new_esEs3(xv31, xv401, dd, de) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 *new_esEs(@3(xv30, xv31, xv32), @3(xv400, xv401, xv402), h, ba, app(app(ty_Either, ca), cb)) -> new_esEs3(xv32, xv402, ca, cb) The graph contains the following edges 1 > 1, 2 > 2, 5 > 3, 5 > 4 *new_esEs1(:(xv30, xv31), :(xv400, xv401), ga) -> new_esEs1(xv31, xv401, ga) The graph contains the following edges 1 > 1, 2 > 2, 3 >= 3 *new_esEs1(:(xv30, xv31), :(xv400, xv401), app(ty_[], gf)) -> new_esEs1(xv30, xv400, gf) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs(@3(xv30, xv31, xv32), @3(xv400, xv401, xv402), h, app(app(ty_@2, db), dc), cf) -> new_esEs2(xv31, xv401, db, dc) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 *new_esEs(@3(xv30, xv31, xv32), @3(xv400, xv401, xv402), h, ba, app(app(ty_@2, bg), bh)) -> new_esEs2(xv32, xv402, bg, bh) The graph contains the following edges 1 > 1, 2 > 2, 5 > 3, 5 > 4 *new_esEs(@3(xv30, xv31, xv32), @3(xv400, xv401, xv402), app(app(ty_@2, ec), ed), ba, cf) -> new_esEs2(xv30, xv400, ec, ed) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs(@3(xv30, xv31, xv32), @3(xv400, xv401, xv402), h, ba, app(ty_[], bf)) -> new_esEs1(xv32, xv402, bf) The graph contains the following edges 1 > 1, 2 > 2, 5 > 3 *new_esEs(@3(xv30, xv31, xv32), @3(xv400, xv401, xv402), app(ty_[], eb), ba, cf) -> new_esEs1(xv30, xv400, eb) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs(@3(xv30, xv31, xv32), @3(xv400, xv401, xv402), h, app(ty_[], da), cf) -> new_esEs1(xv31, xv401, da) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 *new_esEs(@3(xv30, xv31, xv32), @3(xv400, xv401, xv402), app(ty_Maybe, ea), ba, cf) -> new_esEs0(xv30, xv400, ea) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs(@3(xv30, xv31, xv32), @3(xv400, xv401, xv402), h, app(ty_Maybe, cg), cf) -> new_esEs0(xv31, xv401, cg) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 *new_esEs(@3(xv30, xv31, xv32), @3(xv400, xv401, xv402), h, ba, app(ty_Maybe, be)) -> new_esEs0(xv32, xv402, be) The graph contains the following edges 1 > 1, 2 > 2, 5 > 3 ---------------------------------------- (9) YES ---------------------------------------- (10) Obligation: Q DP problem: The TRS P consists of the following rules: new_foldr(xv3, :(xv40, xv41), h) -> new_foldr(xv3, xv41, h) R is empty. Q is empty. We have to consider all minimal (P,Q,R)-chains. ---------------------------------------- (11) QDPSizeChangeProof (EQUIVALENT) By using the subterm criterion [SUBTERM_CRITERION] together with the size-change analysis [AAECC05] we have proven that there are no infinite chains for this DP problem. From the DPs we obtained the following set of size-change graphs: *new_foldr(xv3, :(xv40, xv41), h) -> new_foldr(xv3, xv41, h) The graph contains the following edges 1 >= 1, 2 > 2, 3 >= 3 ---------------------------------------- (12) YES ---------------------------------------- (13) Obligation: Q DP problem: The TRS P consists of the following rules: new_primMulNat(Succ(xv3100), Succ(xv40000)) -> new_primMulNat(xv3100, Succ(xv40000)) R is empty. Q is empty. We have to consider all minimal (P,Q,R)-chains. ---------------------------------------- (14) QDPSizeChangeProof (EQUIVALENT) By using the subterm criterion [SUBTERM_CRITERION] together with the size-change analysis [AAECC05] we have proven that there are no infinite chains for this DP problem. From the DPs we obtained the following set of size-change graphs: *new_primMulNat(Succ(xv3100), Succ(xv40000)) -> new_primMulNat(xv3100, Succ(xv40000)) The graph contains the following edges 1 > 1, 2 >= 2 ---------------------------------------- (15) YES ---------------------------------------- (16) Obligation: Q DP problem: The TRS P consists of the following rules: new_primPlusNat(Succ(xv1200), Succ(xv400000)) -> new_primPlusNat(xv1200, xv400000) R is empty. Q is empty. We have to consider all minimal (P,Q,R)-chains. ---------------------------------------- (17) QDPSizeChangeProof (EQUIVALENT) By using the subterm criterion [SUBTERM_CRITERION] together with the size-change analysis [AAECC05] we have proven that there are no infinite chains for this DP problem. From the DPs we obtained the following set of size-change graphs: *new_primPlusNat(Succ(xv1200), Succ(xv400000)) -> new_primPlusNat(xv1200, xv400000) The graph contains the following edges 1 > 1, 2 > 2 ---------------------------------------- (18) YES ---------------------------------------- (19) Obligation: Q DP problem: The TRS P consists of the following rules: new_primEqNat(Succ(xv300), Succ(xv4000)) -> new_primEqNat(xv300, xv4000) R is empty. Q is empty. We have to consider all minimal (P,Q,R)-chains. ---------------------------------------- (20) QDPSizeChangeProof (EQUIVALENT) By using the subterm criterion [SUBTERM_CRITERION] together with the size-change analysis [AAECC05] we have proven that there are no infinite chains for this DP problem. From the DPs we obtained the following set of size-change graphs: *new_primEqNat(Succ(xv300), Succ(xv4000)) -> new_primEqNat(xv300, xv4000) The graph contains the following edges 1 > 1, 2 > 2 ---------------------------------------- (21) YES