/export/starexec/sandbox/solver/bin/starexec_run_standard /export/starexec/sandbox/benchmark/theBenchmark.hs /export/starexec/sandbox/output/output_files -------------------------------------------------------------------------------- YES proof of /export/starexec/sandbox/benchmark/theBenchmark.hs # AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty H-Termination with start terms of the given HASKELL could be proven: (0) HASKELL (1) BR [EQUIVALENT, 0 ms] (2) HASKELL (3) COR [EQUIVALENT, 0 ms] (4) HASKELL (5) Narrow [SOUND, 0 ms] (6) AND (7) QDP (8) QDPSizeChangeProof [EQUIVALENT, 0 ms] (9) YES (10) QDP (11) QDPSizeChangeProof [EQUIVALENT, 0 ms] (12) YES (13) QDP (14) QDPSizeChangeProof [EQUIVALENT, 0 ms] (15) YES (16) QDP (17) QDPSizeChangeProof [EQUIVALENT, 0 ms] (18) YES ---------------------------------------- (0) Obligation: mainModule Main module Main where { import qualified Prelude; } ---------------------------------------- (1) BR (EQUIVALENT) Replaced joker patterns by fresh variables and removed binding patterns. ---------------------------------------- (2) Obligation: mainModule Main module Main where { import qualified Prelude; } ---------------------------------------- (3) COR (EQUIVALENT) Cond Reductions: The following Function with conditions "undefined |Falseundefined; " is transformed to "undefined = undefined1; " "undefined0 True = undefined; " "undefined1 = undefined0 False; " ---------------------------------------- (4) Obligation: mainModule Main module Main where { import qualified Prelude; } ---------------------------------------- (5) Narrow (SOUND) Haskell To QDPs digraph dp_graph { node [outthreshold=100, inthreshold=100];1[label="(/=)",fontsize=16,color="grey",shape="box"];1 -> 3[label="",style="dashed", color="grey", weight=3]; 3[label="(/=) xv3",fontsize=16,color="grey",shape="box"];3 -> 4[label="",style="dashed", color="grey", weight=3]; 4[label="(/=) xv3 xv4",fontsize=16,color="blue",shape="box"];834[label="/= :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];4 -> 834[label="",style="solid", color="blue", weight=9]; 834 -> 5[label="",style="solid", color="blue", weight=3]; 835[label="/= :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];4 -> 835[label="",style="solid", color="blue", weight=9]; 835 -> 6[label="",style="solid", color="blue", weight=3]; 836[label="/= :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];4 -> 836[label="",style="solid", color="blue", weight=9]; 836 -> 7[label="",style="solid", color="blue", weight=3]; 837[label="/= :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];4 -> 837[label="",style="solid", color="blue", weight=9]; 837 -> 8[label="",style="solid", color="blue", weight=3]; 838[label="/= :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];4 -> 838[label="",style="solid", color="blue", weight=9]; 838 -> 9[label="",style="solid", color="blue", weight=3]; 839[label="/= :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];4 -> 839[label="",style="solid", color="blue", weight=9]; 839 -> 10[label="",style="solid", color="blue", weight=3]; 840[label="/= :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];4 -> 840[label="",style="solid", color="blue", weight=9]; 840 -> 11[label="",style="solid", color="blue", weight=3]; 841[label="/= :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];4 -> 841[label="",style="solid", color="blue", weight=9]; 841 -> 12[label="",style="solid", color="blue", weight=3]; 842[label="/= :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];4 -> 842[label="",style="solid", color="blue", weight=9]; 842 -> 13[label="",style="solid", color="blue", weight=3]; 843[label="/= :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];4 -> 843[label="",style="solid", color="blue", weight=9]; 843 -> 14[label="",style="solid", color="blue", weight=3]; 844[label="/= :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];4 -> 844[label="",style="solid", color="blue", weight=9]; 844 -> 15[label="",style="solid", color="blue", weight=3]; 845[label="/= :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];4 -> 845[label="",style="solid", color="blue", weight=9]; 845 -> 16[label="",style="solid", color="blue", weight=3]; 846[label="/= :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];4 -> 846[label="",style="solid", color="blue", weight=9]; 846 -> 17[label="",style="solid", color="blue", weight=3]; 847[label="/= :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];4 -> 847[label="",style="solid", color="blue", weight=9]; 847 -> 18[label="",style="solid", color="blue", weight=3]; 5[label="(/=) xv3 xv4",fontsize=16,color="black",shape="box"];5 -> 19[label="",style="solid", color="black", weight=3]; 6[label="(/=) xv3 xv4",fontsize=16,color="black",shape="box"];6 -> 20[label="",style="solid", color="black", weight=3]; 7[label="(/=) xv3 xv4",fontsize=16,color="black",shape="box"];7 -> 21[label="",style="solid", color="black", weight=3]; 8[label="(/=) xv3 xv4",fontsize=16,color="black",shape="box"];8 -> 22[label="",style="solid", color="black", weight=3]; 9[label="(/=) xv3 xv4",fontsize=16,color="black",shape="box"];9 -> 23[label="",style="solid", color="black", weight=3]; 10[label="(/=) xv3 xv4",fontsize=16,color="black",shape="box"];10 -> 24[label="",style="solid", color="black", weight=3]; 11[label="(/=) xv3 xv4",fontsize=16,color="black",shape="box"];11 -> 25[label="",style="solid", color="black", weight=3]; 12[label="(/=) xv3 xv4",fontsize=16,color="black",shape="box"];12 -> 26[label="",style="solid", color="black", weight=3]; 13[label="(/=) xv3 xv4",fontsize=16,color="black",shape="box"];13 -> 27[label="",style="solid", color="black", weight=3]; 14[label="(/=) xv3 xv4",fontsize=16,color="black",shape="box"];14 -> 28[label="",style="solid", color="black", weight=3]; 15[label="(/=) xv3 xv4",fontsize=16,color="black",shape="box"];15 -> 29[label="",style="solid", color="black", weight=3]; 16[label="(/=) xv3 xv4",fontsize=16,color="black",shape="box"];16 -> 30[label="",style="solid", color="black", weight=3]; 17[label="(/=) xv3 xv4",fontsize=16,color="black",shape="box"];17 -> 31[label="",style="solid", color="black", weight=3]; 18[label="(/=) xv3 xv4",fontsize=16,color="black",shape="box"];18 -> 32[label="",style="solid", color="black", weight=3]; 19 -> 145[label="",style="dashed", color="red", weight=0]; 19[label="not (xv3 == xv4)",fontsize=16,color="magenta"];19 -> 146[label="",style="dashed", color="magenta", weight=3]; 20 -> 145[label="",style="dashed", color="red", weight=0]; 20[label="not (xv3 == xv4)",fontsize=16,color="magenta"];20 -> 147[label="",style="dashed", color="magenta", weight=3]; 21 -> 145[label="",style="dashed", color="red", weight=0]; 21[label="not (xv3 == xv4)",fontsize=16,color="magenta"];21 -> 148[label="",style="dashed", color="magenta", weight=3]; 22 -> 145[label="",style="dashed", color="red", weight=0]; 22[label="not (xv3 == xv4)",fontsize=16,color="magenta"];22 -> 149[label="",style="dashed", color="magenta", weight=3]; 23 -> 145[label="",style="dashed", color="red", weight=0]; 23[label="not (xv3 == xv4)",fontsize=16,color="magenta"];23 -> 150[label="",style="dashed", color="magenta", weight=3]; 24 -> 145[label="",style="dashed", color="red", weight=0]; 24[label="not (xv3 == xv4)",fontsize=16,color="magenta"];24 -> 151[label="",style="dashed", color="magenta", weight=3]; 25 -> 145[label="",style="dashed", color="red", weight=0]; 25[label="not (xv3 == xv4)",fontsize=16,color="magenta"];25 -> 152[label="",style="dashed", color="magenta", weight=3]; 26 -> 145[label="",style="dashed", color="red", weight=0]; 26[label="not (xv3 == xv4)",fontsize=16,color="magenta"];26 -> 153[label="",style="dashed", color="magenta", weight=3]; 27 -> 145[label="",style="dashed", color="red", weight=0]; 27[label="not (xv3 == xv4)",fontsize=16,color="magenta"];27 -> 154[label="",style="dashed", color="magenta", weight=3]; 28 -> 145[label="",style="dashed", color="red", weight=0]; 28[label="not (xv3 == xv4)",fontsize=16,color="magenta"];28 -> 155[label="",style="dashed", color="magenta", weight=3]; 29 -> 145[label="",style="dashed", color="red", weight=0]; 29[label="not (xv3 == xv4)",fontsize=16,color="magenta"];29 -> 156[label="",style="dashed", color="magenta", weight=3]; 30 -> 145[label="",style="dashed", color="red", weight=0]; 30[label="not (xv3 == xv4)",fontsize=16,color="magenta"];30 -> 157[label="",style="dashed", color="magenta", weight=3]; 31 -> 145[label="",style="dashed", color="red", weight=0]; 31[label="not (xv3 == xv4)",fontsize=16,color="magenta"];31 -> 158[label="",style="dashed", color="magenta", weight=3]; 32 -> 145[label="",style="dashed", color="red", weight=0]; 32[label="not (xv3 == xv4)",fontsize=16,color="magenta"];32 -> 159[label="",style="dashed", color="magenta", weight=3]; 146[label="xv3 == xv4",fontsize=16,color="black",shape="triangle"];146 -> 198[label="",style="solid", color="black", weight=3]; 145[label="not xv25",fontsize=16,color="burlywood",shape="triangle"];848[label="xv25/False",fontsize=10,color="white",style="solid",shape="box"];145 -> 848[label="",style="solid", color="burlywood", weight=9]; 848 -> 199[label="",style="solid", color="burlywood", weight=3]; 849[label="xv25/True",fontsize=10,color="white",style="solid",shape="box"];145 -> 849[label="",style="solid", color="burlywood", weight=9]; 849 -> 200[label="",style="solid", color="burlywood", weight=3]; 147[label="xv3 == xv4",fontsize=16,color="burlywood",shape="triangle"];850[label="xv3/xv30 : xv31",fontsize=10,color="white",style="solid",shape="box"];147 -> 850[label="",style="solid", color="burlywood", weight=9]; 850 -> 201[label="",style="solid", color="burlywood", weight=3]; 851[label="xv3/[]",fontsize=10,color="white",style="solid",shape="box"];147 -> 851[label="",style="solid", color="burlywood", weight=9]; 851 -> 202[label="",style="solid", color="burlywood", weight=3]; 148[label="xv3 == xv4",fontsize=16,color="burlywood",shape="triangle"];852[label="xv3/(xv30,xv31,xv32)",fontsize=10,color="white",style="solid",shape="box"];148 -> 852[label="",style="solid", color="burlywood", weight=9]; 852 -> 203[label="",style="solid", color="burlywood", weight=3]; 149[label="xv3 == xv4",fontsize=16,color="burlywood",shape="triangle"];853[label="xv3/()",fontsize=10,color="white",style="solid",shape="box"];149 -> 853[label="",style="solid", color="burlywood", weight=9]; 853 -> 204[label="",style="solid", color="burlywood", weight=3]; 150[label="xv3 == xv4",fontsize=16,color="burlywood",shape="triangle"];854[label="xv3/LT",fontsize=10,color="white",style="solid",shape="box"];150 -> 854[label="",style="solid", color="burlywood", weight=9]; 854 -> 205[label="",style="solid", color="burlywood", weight=3]; 855[label="xv3/EQ",fontsize=10,color="white",style="solid",shape="box"];150 -> 855[label="",style="solid", color="burlywood", weight=9]; 855 -> 206[label="",style="solid", color="burlywood", weight=3]; 856[label="xv3/GT",fontsize=10,color="white",style="solid",shape="box"];150 -> 856[label="",style="solid", color="burlywood", weight=9]; 856 -> 207[label="",style="solid", color="burlywood", weight=3]; 151[label="xv3 == xv4",fontsize=16,color="black",shape="triangle"];151 -> 208[label="",style="solid", color="black", weight=3]; 152[label="xv3 == xv4",fontsize=16,color="burlywood",shape="triangle"];857[label="xv3/False",fontsize=10,color="white",style="solid",shape="box"];152 -> 857[label="",style="solid", color="burlywood", weight=9]; 857 -> 209[label="",style="solid", color="burlywood", weight=3]; 858[label="xv3/True",fontsize=10,color="white",style="solid",shape="box"];152 -> 858[label="",style="solid", color="burlywood", weight=9]; 858 -> 210[label="",style="solid", color="burlywood", weight=3]; 153[label="xv3 == xv4",fontsize=16,color="burlywood",shape="triangle"];859[label="xv3/Left xv30",fontsize=10,color="white",style="solid",shape="box"];153 -> 859[label="",style="solid", color="burlywood", weight=9]; 859 -> 211[label="",style="solid", color="burlywood", weight=3]; 860[label="xv3/Right xv30",fontsize=10,color="white",style="solid",shape="box"];153 -> 860[label="",style="solid", color="burlywood", weight=9]; 860 -> 212[label="",style="solid", color="burlywood", weight=3]; 154[label="xv3 == xv4",fontsize=16,color="burlywood",shape="triangle"];861[label="xv3/Integer xv30",fontsize=10,color="white",style="solid",shape="box"];154 -> 861[label="",style="solid", color="burlywood", weight=9]; 861 -> 213[label="",style="solid", color="burlywood", weight=3]; 155[label="xv3 == xv4",fontsize=16,color="burlywood",shape="triangle"];862[label="xv3/(xv30,xv31)",fontsize=10,color="white",style="solid",shape="box"];155 -> 862[label="",style="solid", color="burlywood", weight=9]; 862 -> 214[label="",style="solid", color="burlywood", weight=3]; 156[label="xv3 == xv4",fontsize=16,color="black",shape="triangle"];156 -> 215[label="",style="solid", color="black", weight=3]; 157[label="xv3 == xv4",fontsize=16,color="burlywood",shape="triangle"];863[label="xv3/xv30 :% xv31",fontsize=10,color="white",style="solid",shape="box"];157 -> 863[label="",style="solid", color="burlywood", weight=9]; 863 -> 216[label="",style="solid", color="burlywood", weight=3]; 158[label="xv3 == xv4",fontsize=16,color="burlywood",shape="triangle"];864[label="xv3/Nothing",fontsize=10,color="white",style="solid",shape="box"];158 -> 864[label="",style="solid", color="burlywood", weight=9]; 864 -> 217[label="",style="solid", color="burlywood", weight=3]; 865[label="xv3/Just xv30",fontsize=10,color="white",style="solid",shape="box"];158 -> 865[label="",style="solid", color="burlywood", weight=9]; 865 -> 218[label="",style="solid", color="burlywood", weight=3]; 159[label="xv3 == xv4",fontsize=16,color="black",shape="triangle"];159 -> 219[label="",style="solid", color="black", weight=3]; 198[label="primEqDouble xv3 xv4",fontsize=16,color="burlywood",shape="box"];866[label="xv3/Double xv30 xv31",fontsize=10,color="white",style="solid",shape="box"];198 -> 866[label="",style="solid", color="burlywood", weight=9]; 866 -> 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="xv30 : xv31 == xv4",fontsize=16,color="burlywood",shape="box"];867[label="xv4/xv40 : xv41",fontsize=10,color="white",style="solid",shape="box"];201 -> 867[label="",style="solid", color="burlywood", weight=9]; 867 -> 223[label="",style="solid", color="burlywood", weight=3]; 868[label="xv4/[]",fontsize=10,color="white",style="solid",shape="box"];201 -> 868[label="",style="solid", color="burlywood", weight=9]; 868 -> 224[label="",style="solid", color="burlywood", weight=3]; 202[label="[] == xv4",fontsize=16,color="burlywood",shape="box"];869[label="xv4/xv40 : xv41",fontsize=10,color="white",style="solid",shape="box"];202 -> 869[label="",style="solid", color="burlywood", weight=9]; 869 -> 225[label="",style="solid", color="burlywood", weight=3]; 870[label="xv4/[]",fontsize=10,color="white",style="solid",shape="box"];202 -> 870[label="",style="solid", color="burlywood", weight=9]; 870 -> 226[label="",style="solid", color="burlywood", weight=3]; 203[label="(xv30,xv31,xv32) == xv4",fontsize=16,color="burlywood",shape="box"];871[label="xv4/(xv40,xv41,xv42)",fontsize=10,color="white",style="solid",shape="box"];203 -> 871[label="",style="solid", color="burlywood", weight=9]; 871 -> 227[label="",style="solid", color="burlywood", weight=3]; 204[label="() == xv4",fontsize=16,color="burlywood",shape="box"];872[label="xv4/()",fontsize=10,color="white",style="solid",shape="box"];204 -> 872[label="",style="solid", color="burlywood", weight=9]; 872 -> 228[label="",style="solid", color="burlywood", weight=3]; 205[label="LT == xv4",fontsize=16,color="burlywood",shape="box"];873[label="xv4/LT",fontsize=10,color="white",style="solid",shape="box"];205 -> 873[label="",style="solid", color="burlywood", weight=9]; 873 -> 229[label="",style="solid", color="burlywood", weight=3]; 874[label="xv4/EQ",fontsize=10,color="white",style="solid",shape="box"];205 -> 874[label="",style="solid", color="burlywood", weight=9]; 874 -> 230[label="",style="solid", color="burlywood", weight=3]; 875[label="xv4/GT",fontsize=10,color="white",style="solid",shape="box"];205 -> 875[label="",style="solid", color="burlywood", weight=9]; 875 -> 231[label="",style="solid", color="burlywood", weight=3]; 206[label="EQ == xv4",fontsize=16,color="burlywood",shape="box"];876[label="xv4/LT",fontsize=10,color="white",style="solid",shape="box"];206 -> 876[label="",style="solid", color="burlywood", weight=9]; 876 -> 232[label="",style="solid", color="burlywood", weight=3]; 877[label="xv4/EQ",fontsize=10,color="white",style="solid",shape="box"];206 -> 877[label="",style="solid", color="burlywood", weight=9]; 877 -> 233[label="",style="solid", color="burlywood", weight=3]; 878[label="xv4/GT",fontsize=10,color="white",style="solid",shape="box"];206 -> 878[label="",style="solid", color="burlywood", weight=9]; 878 -> 234[label="",style="solid", color="burlywood", weight=3]; 207[label="GT == xv4",fontsize=16,color="burlywood",shape="box"];879[label="xv4/LT",fontsize=10,color="white",style="solid",shape="box"];207 -> 879[label="",style="solid", color="burlywood", weight=9]; 879 -> 235[label="",style="solid", color="burlywood", weight=3]; 880[label="xv4/EQ",fontsize=10,color="white",style="solid",shape="box"];207 -> 880[label="",style="solid", color="burlywood", weight=9]; 880 -> 236[label="",style="solid", color="burlywood", weight=3]; 881[label="xv4/GT",fontsize=10,color="white",style="solid",shape="box"];207 -> 881[label="",style="solid", color="burlywood", weight=9]; 881 -> 237[label="",style="solid", color="burlywood", weight=3]; 208[label="primEqChar xv3 xv4",fontsize=16,color="burlywood",shape="box"];882[label="xv3/Char xv30",fontsize=10,color="white",style="solid",shape="box"];208 -> 882[label="",style="solid", color="burlywood", weight=9]; 882 -> 238[label="",style="solid", color="burlywood", weight=3]; 209[label="False == xv4",fontsize=16,color="burlywood",shape="box"];883[label="xv4/False",fontsize=10,color="white",style="solid",shape="box"];209 -> 883[label="",style="solid", color="burlywood", weight=9]; 883 -> 239[label="",style="solid", color="burlywood", weight=3]; 884[label="xv4/True",fontsize=10,color="white",style="solid",shape="box"];209 -> 884[label="",style="solid", color="burlywood", weight=9]; 884 -> 240[label="",style="solid", color="burlywood", weight=3]; 210[label="True == xv4",fontsize=16,color="burlywood",shape="box"];885[label="xv4/False",fontsize=10,color="white",style="solid",shape="box"];210 -> 885[label="",style="solid", color="burlywood", weight=9]; 885 -> 241[label="",style="solid", color="burlywood", weight=3]; 886[label="xv4/True",fontsize=10,color="white",style="solid",shape="box"];210 -> 886[label="",style="solid", color="burlywood", weight=9]; 886 -> 242[label="",style="solid", color="burlywood", weight=3]; 211[label="Left xv30 == xv4",fontsize=16,color="burlywood",shape="box"];887[label="xv4/Left xv40",fontsize=10,color="white",style="solid",shape="box"];211 -> 887[label="",style="solid", color="burlywood", weight=9]; 887 -> 243[label="",style="solid", color="burlywood", weight=3]; 888[label="xv4/Right xv40",fontsize=10,color="white",style="solid",shape="box"];211 -> 888[label="",style="solid", color="burlywood", weight=9]; 888 -> 244[label="",style="solid", color="burlywood", weight=3]; 212[label="Right xv30 == xv4",fontsize=16,color="burlywood",shape="box"];889[label="xv4/Left xv40",fontsize=10,color="white",style="solid",shape="box"];212 -> 889[label="",style="solid", color="burlywood", weight=9]; 889 -> 245[label="",style="solid", color="burlywood", weight=3]; 890[label="xv4/Right xv40",fontsize=10,color="white",style="solid",shape="box"];212 -> 890[label="",style="solid", color="burlywood", weight=9]; 890 -> 246[label="",style="solid", color="burlywood", weight=3]; 213[label="Integer xv30 == xv4",fontsize=16,color="burlywood",shape="box"];891[label="xv4/Integer xv40",fontsize=10,color="white",style="solid",shape="box"];213 -> 891[label="",style="solid", color="burlywood", weight=9]; 891 -> 247[label="",style="solid", color="burlywood", weight=3]; 214[label="(xv30,xv31) == xv4",fontsize=16,color="burlywood",shape="box"];892[label="xv4/(xv40,xv41)",fontsize=10,color="white",style="solid",shape="box"];214 -> 892[label="",style="solid", color="burlywood", weight=9]; 892 -> 248[label="",style="solid", color="burlywood", weight=3]; 215[label="primEqFloat xv3 xv4",fontsize=16,color="burlywood",shape="box"];893[label="xv3/Float xv30 xv31",fontsize=10,color="white",style="solid",shape="box"];215 -> 893[label="",style="solid", color="burlywood", weight=9]; 893 -> 249[label="",style="solid", color="burlywood", weight=3]; 216[label="xv30 :% xv31 == xv4",fontsize=16,color="burlywood",shape="box"];894[label="xv4/xv40 :% xv41",fontsize=10,color="white",style="solid",shape="box"];216 -> 894[label="",style="solid", color="burlywood", weight=9]; 894 -> 250[label="",style="solid", color="burlywood", weight=3]; 217[label="Nothing == xv4",fontsize=16,color="burlywood",shape="box"];895[label="xv4/Nothing",fontsize=10,color="white",style="solid",shape="box"];217 -> 895[label="",style="solid", color="burlywood", weight=9]; 895 -> 251[label="",style="solid", color="burlywood", weight=3]; 896[label="xv4/Just xv40",fontsize=10,color="white",style="solid",shape="box"];217 -> 896[label="",style="solid", color="burlywood", weight=9]; 896 -> 252[label="",style="solid", color="burlywood", weight=3]; 218[label="Just xv30 == xv4",fontsize=16,color="burlywood",shape="box"];897[label="xv4/Nothing",fontsize=10,color="white",style="solid",shape="box"];218 -> 897[label="",style="solid", color="burlywood", weight=9]; 897 -> 253[label="",style="solid", color="burlywood", weight=3]; 898[label="xv4/Just xv40",fontsize=10,color="white",style="solid",shape="box"];218 -> 898[label="",style="solid", color="burlywood", weight=9]; 898 -> 254[label="",style="solid", color="burlywood", weight=3]; 219[label="primEqInt xv3 xv4",fontsize=16,color="burlywood",shape="triangle"];899[label="xv3/Pos xv30",fontsize=10,color="white",style="solid",shape="box"];219 -> 899[label="",style="solid", color="burlywood", weight=9]; 899 -> 255[label="",style="solid", color="burlywood", weight=3]; 900[label="xv3/Neg xv30",fontsize=10,color="white",style="solid",shape="box"];219 -> 900[label="",style="solid", color="burlywood", weight=9]; 900 -> 256[label="",style="solid", color="burlywood", weight=3]; 220[label="primEqDouble (Double xv30 xv31) xv4",fontsize=16,color="burlywood",shape="box"];901[label="xv4/Double xv40 xv41",fontsize=10,color="white",style="solid",shape="box"];220 -> 901[label="",style="solid", color="burlywood", weight=9]; 901 -> 257[label="",style="solid", color="burlywood", weight=3]; 221[label="True",fontsize=16,color="green",shape="box"];222[label="False",fontsize=16,color="green",shape="box"];223[label="xv30 : xv31 == xv40 : xv41",fontsize=16,color="black",shape="box"];223 -> 258[label="",style="solid", color="black", weight=3]; 224[label="xv30 : xv31 == []",fontsize=16,color="black",shape="box"];224 -> 259[label="",style="solid", color="black", weight=3]; 225[label="[] == xv40 : xv41",fontsize=16,color="black",shape="box"];225 -> 260[label="",style="solid", color="black", weight=3]; 226[label="[] == []",fontsize=16,color="black",shape="box"];226 -> 261[label="",style="solid", color="black", weight=3]; 227[label="(xv30,xv31,xv32) == (xv40,xv41,xv42)",fontsize=16,color="black",shape="box"];227 -> 262[label="",style="solid", color="black", weight=3]; 228[label="() == ()",fontsize=16,color="black",shape="box"];228 -> 263[label="",style="solid", color="black", weight=3]; 229[label="LT == LT",fontsize=16,color="black",shape="box"];229 -> 264[label="",style="solid", color="black", weight=3]; 230[label="LT == EQ",fontsize=16,color="black",shape="box"];230 -> 265[label="",style="solid", color="black", weight=3]; 231[label="LT == GT",fontsize=16,color="black",shape="box"];231 -> 266[label="",style="solid", color="black", weight=3]; 232[label="EQ == LT",fontsize=16,color="black",shape="box"];232 -> 267[label="",style="solid", color="black", weight=3]; 233[label="EQ == EQ",fontsize=16,color="black",shape="box"];233 -> 268[label="",style="solid", color="black", weight=3]; 234[label="EQ == GT",fontsize=16,color="black",shape="box"];234 -> 269[label="",style="solid", color="black", weight=3]; 235[label="GT == LT",fontsize=16,color="black",shape="box"];235 -> 270[label="",style="solid", color="black", weight=3]; 236[label="GT == EQ",fontsize=16,color="black",shape="box"];236 -> 271[label="",style="solid", color="black", weight=3]; 237[label="GT == GT",fontsize=16,color="black",shape="box"];237 -> 272[label="",style="solid", color="black", weight=3]; 238[label="primEqChar (Char xv30) xv4",fontsize=16,color="burlywood",shape="box"];902[label="xv4/Char xv40",fontsize=10,color="white",style="solid",shape="box"];238 -> 902[label="",style="solid", color="burlywood", weight=9]; 902 -> 273[label="",style="solid", color="burlywood", weight=3]; 239[label="False == False",fontsize=16,color="black",shape="box"];239 -> 274[label="",style="solid", color="black", weight=3]; 240[label="False == True",fontsize=16,color="black",shape="box"];240 -> 275[label="",style="solid", color="black", weight=3]; 241[label="True == False",fontsize=16,color="black",shape="box"];241 -> 276[label="",style="solid", color="black", weight=3]; 242[label="True == True",fontsize=16,color="black",shape="box"];242 -> 277[label="",style="solid", color="black", weight=3]; 243[label="Left xv30 == Left xv40",fontsize=16,color="black",shape="box"];243 -> 278[label="",style="solid", color="black", weight=3]; 244[label="Left xv30 == Right xv40",fontsize=16,color="black",shape="box"];244 -> 279[label="",style="solid", color="black", weight=3]; 245[label="Right xv30 == Left xv40",fontsize=16,color="black",shape="box"];245 -> 280[label="",style="solid", color="black", weight=3]; 246[label="Right xv30 == Right xv40",fontsize=16,color="black",shape="box"];246 -> 281[label="",style="solid", color="black", weight=3]; 247[label="Integer xv30 == Integer xv40",fontsize=16,color="black",shape="box"];247 -> 282[label="",style="solid", color="black", weight=3]; 248[label="(xv30,xv31) == (xv40,xv41)",fontsize=16,color="black",shape="box"];248 -> 283[label="",style="solid", color="black", weight=3]; 249[label="primEqFloat (Float xv30 xv31) xv4",fontsize=16,color="burlywood",shape="box"];903[label="xv4/Float xv40 xv41",fontsize=10,color="white",style="solid",shape="box"];249 -> 903[label="",style="solid", color="burlywood", weight=9]; 903 -> 284[label="",style="solid", color="burlywood", weight=3]; 250[label="xv30 :% xv31 == xv40 :% xv41",fontsize=16,color="black",shape="box"];250 -> 285[label="",style="solid", color="black", weight=3]; 251[label="Nothing == Nothing",fontsize=16,color="black",shape="box"];251 -> 286[label="",style="solid", color="black", weight=3]; 252[label="Nothing == Just xv40",fontsize=16,color="black",shape="box"];252 -> 287[label="",style="solid", color="black", weight=3]; 253[label="Just xv30 == Nothing",fontsize=16,color="black",shape="box"];253 -> 288[label="",style="solid", color="black", weight=3]; 254[label="Just xv30 == Just xv40",fontsize=16,color="black",shape="box"];254 -> 289[label="",style="solid", color="black", weight=3]; 255[label="primEqInt (Pos xv30) xv4",fontsize=16,color="burlywood",shape="box"];904[label="xv30/Succ xv300",fontsize=10,color="white",style="solid",shape="box"];255 -> 904[label="",style="solid", color="burlywood", weight=9]; 904 -> 290[label="",style="solid", color="burlywood", weight=3]; 905[label="xv30/Zero",fontsize=10,color="white",style="solid",shape="box"];255 -> 905[label="",style="solid", color="burlywood", weight=9]; 905 -> 291[label="",style="solid", color="burlywood", weight=3]; 256[label="primEqInt (Neg xv30) xv4",fontsize=16,color="burlywood",shape="box"];906[label="xv30/Succ xv300",fontsize=10,color="white",style="solid",shape="box"];256 -> 906[label="",style="solid", color="burlywood", weight=9]; 906 -> 292[label="",style="solid", color="burlywood", weight=3]; 907[label="xv30/Zero",fontsize=10,color="white",style="solid",shape="box"];256 -> 907[label="",style="solid", color="burlywood", weight=9]; 907 -> 293[label="",style="solid", color="burlywood", weight=3]; 257[label="primEqDouble (Double xv30 xv31) (Double xv40 xv41)",fontsize=16,color="black",shape="box"];257 -> 294[label="",style="solid", color="black", weight=3]; 258 -> 364[label="",style="dashed", color="red", weight=0]; 258[label="xv30 == xv40 && xv31 == xv41",fontsize=16,color="magenta"];258 -> 365[label="",style="dashed", color="magenta", weight=3]; 258 -> 366[label="",style="dashed", color="magenta", weight=3]; 259[label="False",fontsize=16,color="green",shape="box"];260[label="False",fontsize=16,color="green",shape="box"];261[label="True",fontsize=16,color="green",shape="box"];262 -> 364[label="",style="dashed", color="red", weight=0]; 262[label="xv30 == xv40 && xv31 == xv41 && xv32 == xv42",fontsize=16,color="magenta"];262 -> 367[label="",style="dashed", color="magenta", weight=3]; 262 -> 368[label="",style="dashed", color="magenta", weight=3]; 263[label="True",fontsize=16,color="green",shape="box"];264[label="True",fontsize=16,color="green",shape="box"];265[label="False",fontsize=16,color="green",shape="box"];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="False",fontsize=16,color="green",shape="box"];270[label="False",fontsize=16,color="green",shape="box"];271[label="False",fontsize=16,color="green",shape="box"];272[label="True",fontsize=16,color="green",shape="box"];273[label="primEqChar (Char xv30) (Char xv40)",fontsize=16,color="black",shape="box"];273 -> 306[label="",style="solid", color="black", weight=3]; 274[label="True",fontsize=16,color="green",shape="box"];275[label="False",fontsize=16,color="green",shape="box"];276[label="False",fontsize=16,color="green",shape="box"];277[label="True",fontsize=16,color="green",shape="box"];278[label="xv30 == xv40",fontsize=16,color="blue",shape="box"];908[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];278 -> 908[label="",style="solid", color="blue", weight=9]; 908 -> 307[label="",style="solid", color="blue", weight=3]; 909[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];278 -> 909[label="",style="solid", color="blue", weight=9]; 909 -> 308[label="",style="solid", color="blue", weight=3]; 910[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];278 -> 910[label="",style="solid", color="blue", weight=9]; 910 -> 309[label="",style="solid", color="blue", weight=3]; 911[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];278 -> 911[label="",style="solid", color="blue", weight=9]; 911 -> 310[label="",style="solid", color="blue", weight=3]; 912[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];278 -> 912[label="",style="solid", color="blue", weight=9]; 912 -> 311[label="",style="solid", color="blue", weight=3]; 913[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];278 -> 913[label="",style="solid", color="blue", weight=9]; 913 -> 312[label="",style="solid", color="blue", weight=3]; 914[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];278 -> 914[label="",style="solid", color="blue", weight=9]; 914 -> 313[label="",style="solid", color="blue", weight=3]; 915[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];278 -> 915[label="",style="solid", color="blue", weight=9]; 915 -> 314[label="",style="solid", color="blue", weight=3]; 916[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];278 -> 916[label="",style="solid", color="blue", weight=9]; 916 -> 315[label="",style="solid", color="blue", weight=3]; 917[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];278 -> 917[label="",style="solid", color="blue", weight=9]; 917 -> 316[label="",style="solid", color="blue", weight=3]; 918[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];278 -> 918[label="",style="solid", color="blue", weight=9]; 918 -> 317[label="",style="solid", color="blue", weight=3]; 919[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];278 -> 919[label="",style="solid", color="blue", weight=9]; 919 -> 318[label="",style="solid", color="blue", weight=3]; 920[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];278 -> 920[label="",style="solid", color="blue", weight=9]; 920 -> 319[label="",style="solid", color="blue", weight=3]; 921[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];278 -> 921[label="",style="solid", color="blue", weight=9]; 921 -> 320[label="",style="solid", color="blue", weight=3]; 279[label="False",fontsize=16,color="green",shape="box"];280[label="False",fontsize=16,color="green",shape="box"];281[label="xv30 == xv40",fontsize=16,color="blue",shape="box"];922[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];281 -> 922[label="",style="solid", color="blue", weight=9]; 922 -> 321[label="",style="solid", color="blue", weight=3]; 923[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];281 -> 923[label="",style="solid", color="blue", weight=9]; 923 -> 322[label="",style="solid", color="blue", weight=3]; 924[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];281 -> 924[label="",style="solid", color="blue", weight=9]; 924 -> 323[label="",style="solid", color="blue", weight=3]; 925[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];281 -> 925[label="",style="solid", color="blue", weight=9]; 925 -> 324[label="",style="solid", color="blue", weight=3]; 926[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];281 -> 926[label="",style="solid", color="blue", weight=9]; 926 -> 325[label="",style="solid", color="blue", weight=3]; 927[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];281 -> 927[label="",style="solid", color="blue", weight=9]; 927 -> 326[label="",style="solid", color="blue", weight=3]; 928[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];281 -> 928[label="",style="solid", color="blue", weight=9]; 928 -> 327[label="",style="solid", color="blue", weight=3]; 929[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];281 -> 929[label="",style="solid", color="blue", weight=9]; 929 -> 328[label="",style="solid", color="blue", weight=3]; 930[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];281 -> 930[label="",style="solid", color="blue", weight=9]; 930 -> 329[label="",style="solid", color="blue", weight=3]; 931[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];281 -> 931[label="",style="solid", color="blue", weight=9]; 931 -> 330[label="",style="solid", color="blue", weight=3]; 932[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];281 -> 932[label="",style="solid", color="blue", weight=9]; 932 -> 331[label="",style="solid", color="blue", weight=3]; 933[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];281 -> 933[label="",style="solid", color="blue", weight=9]; 933 -> 332[label="",style="solid", color="blue", weight=3]; 934[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];281 -> 934[label="",style="solid", color="blue", weight=9]; 934 -> 333[label="",style="solid", color="blue", weight=3]; 935[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];281 -> 935[label="",style="solid", color="blue", weight=9]; 935 -> 334[label="",style="solid", color="blue", weight=3]; 282 -> 219[label="",style="dashed", color="red", weight=0]; 282[label="primEqInt xv30 xv40",fontsize=16,color="magenta"];282 -> 335[label="",style="dashed", color="magenta", weight=3]; 282 -> 336[label="",style="dashed", color="magenta", weight=3]; 283 -> 364[label="",style="dashed", color="red", weight=0]; 283[label="xv30 == xv40 && xv31 == xv41",fontsize=16,color="magenta"];283 -> 369[label="",style="dashed", color="magenta", weight=3]; 283 -> 370[label="",style="dashed", color="magenta", weight=3]; 284[label="primEqFloat (Float xv30 xv31) (Float xv40 xv41)",fontsize=16,color="black",shape="box"];284 -> 337[label="",style="solid", color="black", weight=3]; 285 -> 364[label="",style="dashed", color="red", weight=0]; 285[label="xv30 == xv40 && xv31 == xv41",fontsize=16,color="magenta"];285 -> 371[label="",style="dashed", color="magenta", weight=3]; 285 -> 372[label="",style="dashed", color="magenta", weight=3]; 286[label="True",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="xv30 == xv40",fontsize=16,color="blue",shape="box"];936[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];289 -> 936[label="",style="solid", color="blue", weight=9]; 936 -> 338[label="",style="solid", color="blue", weight=3]; 937[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];289 -> 937[label="",style="solid", color="blue", weight=9]; 937 -> 339[label="",style="solid", color="blue", weight=3]; 938[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];289 -> 938[label="",style="solid", color="blue", weight=9]; 938 -> 340[label="",style="solid", color="blue", weight=3]; 939[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];289 -> 939[label="",style="solid", color="blue", weight=9]; 939 -> 341[label="",style="solid", color="blue", weight=3]; 940[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];289 -> 940[label="",style="solid", color="blue", weight=9]; 940 -> 342[label="",style="solid", color="blue", weight=3]; 941[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];289 -> 941[label="",style="solid", color="blue", weight=9]; 941 -> 343[label="",style="solid", color="blue", weight=3]; 942[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];289 -> 942[label="",style="solid", color="blue", weight=9]; 942 -> 344[label="",style="solid", color="blue", weight=3]; 943[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];289 -> 943[label="",style="solid", color="blue", weight=9]; 943 -> 345[label="",style="solid", color="blue", weight=3]; 944[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];289 -> 944[label="",style="solid", color="blue", weight=9]; 944 -> 346[label="",style="solid", color="blue", weight=3]; 945[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];289 -> 945[label="",style="solid", color="blue", weight=9]; 945 -> 347[label="",style="solid", color="blue", weight=3]; 946[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];289 -> 946[label="",style="solid", color="blue", weight=9]; 946 -> 348[label="",style="solid", color="blue", weight=3]; 947[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];289 -> 947[label="",style="solid", color="blue", weight=9]; 947 -> 349[label="",style="solid", color="blue", weight=3]; 948[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];289 -> 948[label="",style="solid", color="blue", weight=9]; 948 -> 350[label="",style="solid", color="blue", weight=3]; 949[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];289 -> 949[label="",style="solid", color="blue", weight=9]; 949 -> 351[label="",style="solid", color="blue", weight=3]; 290[label="primEqInt (Pos (Succ xv300)) xv4",fontsize=16,color="burlywood",shape="box"];950[label="xv4/Pos xv40",fontsize=10,color="white",style="solid",shape="box"];290 -> 950[label="",style="solid", color="burlywood", weight=9]; 950 -> 352[label="",style="solid", color="burlywood", weight=3]; 951[label="xv4/Neg xv40",fontsize=10,color="white",style="solid",shape="box"];290 -> 951[label="",style="solid", color="burlywood", weight=9]; 951 -> 353[label="",style="solid", color="burlywood", weight=3]; 291[label="primEqInt (Pos Zero) xv4",fontsize=16,color="burlywood",shape="box"];952[label="xv4/Pos xv40",fontsize=10,color="white",style="solid",shape="box"];291 -> 952[label="",style="solid", color="burlywood", weight=9]; 952 -> 354[label="",style="solid", color="burlywood", weight=3]; 953[label="xv4/Neg xv40",fontsize=10,color="white",style="solid",shape="box"];291 -> 953[label="",style="solid", color="burlywood", weight=9]; 953 -> 355[label="",style="solid", color="burlywood", weight=3]; 292[label="primEqInt (Neg (Succ xv300)) xv4",fontsize=16,color="burlywood",shape="box"];954[label="xv4/Pos xv40",fontsize=10,color="white",style="solid",shape="box"];292 -> 954[label="",style="solid", color="burlywood", weight=9]; 954 -> 356[label="",style="solid", color="burlywood", weight=3]; 955[label="xv4/Neg xv40",fontsize=10,color="white",style="solid",shape="box"];292 -> 955[label="",style="solid", color="burlywood", weight=9]; 955 -> 357[label="",style="solid", color="burlywood", weight=3]; 293[label="primEqInt (Neg Zero) xv4",fontsize=16,color="burlywood",shape="box"];956[label="xv4/Pos xv40",fontsize=10,color="white",style="solid",shape="box"];293 -> 956[label="",style="solid", color="burlywood", weight=9]; 956 -> 358[label="",style="solid", color="burlywood", weight=3]; 957[label="xv4/Neg xv40",fontsize=10,color="white",style="solid",shape="box"];293 -> 957[label="",style="solid", color="burlywood", weight=9]; 957 -> 359[label="",style="solid", color="burlywood", weight=3]; 294 -> 159[label="",style="dashed", color="red", weight=0]; 294[label="xv30 * xv41 == xv31 * xv40",fontsize=16,color="magenta"];294 -> 360[label="",style="dashed", color="magenta", weight=3]; 294 -> 361[label="",style="dashed", color="magenta", weight=3]; 365[label="xv30 == xv40",fontsize=16,color="blue",shape="box"];958[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];365 -> 958[label="",style="solid", color="blue", weight=9]; 958 -> 377[label="",style="solid", color="blue", weight=3]; 959[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];365 -> 959[label="",style="solid", color="blue", weight=9]; 959 -> 378[label="",style="solid", color="blue", weight=3]; 960[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];365 -> 960[label="",style="solid", color="blue", weight=9]; 960 -> 379[label="",style="solid", color="blue", weight=3]; 961[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];365 -> 961[label="",style="solid", color="blue", weight=9]; 961 -> 380[label="",style="solid", color="blue", weight=3]; 962[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];365 -> 962[label="",style="solid", color="blue", weight=9]; 962 -> 381[label="",style="solid", color="blue", weight=3]; 963[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];365 -> 963[label="",style="solid", color="blue", weight=9]; 963 -> 382[label="",style="solid", color="blue", weight=3]; 964[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];365 -> 964[label="",style="solid", color="blue", weight=9]; 964 -> 383[label="",style="solid", color="blue", weight=3]; 965[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];365 -> 965[label="",style="solid", color="blue", weight=9]; 965 -> 384[label="",style="solid", color="blue", weight=3]; 966[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];365 -> 966[label="",style="solid", color="blue", weight=9]; 966 -> 385[label="",style="solid", color="blue", weight=3]; 967[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];365 -> 967[label="",style="solid", color="blue", weight=9]; 967 -> 386[label="",style="solid", color="blue", weight=3]; 968[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];365 -> 968[label="",style="solid", color="blue", weight=9]; 968 -> 387[label="",style="solid", color="blue", weight=3]; 969[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];365 -> 969[label="",style="solid", color="blue", weight=9]; 969 -> 388[label="",style="solid", color="blue", weight=3]; 970[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];365 -> 970[label="",style="solid", color="blue", weight=9]; 970 -> 389[label="",style="solid", color="blue", weight=3]; 971[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];365 -> 971[label="",style="solid", color="blue", weight=9]; 971 -> 390[label="",style="solid", color="blue", weight=3]; 366 -> 147[label="",style="dashed", color="red", weight=0]; 366[label="xv31 == xv41",fontsize=16,color="magenta"];366 -> 391[label="",style="dashed", color="magenta", weight=3]; 366 -> 392[label="",style="dashed", color="magenta", weight=3]; 364[label="xv30 && xv31",fontsize=16,color="burlywood",shape="triangle"];972[label="xv30/False",fontsize=10,color="white",style="solid",shape="box"];364 -> 972[label="",style="solid", color="burlywood", weight=9]; 972 -> 393[label="",style="solid", color="burlywood", weight=3]; 973[label="xv30/True",fontsize=10,color="white",style="solid",shape="box"];364 -> 973[label="",style="solid", color="burlywood", weight=9]; 973 -> 394[label="",style="solid", color="burlywood", weight=3]; 367[label="xv30 == xv40",fontsize=16,color="blue",shape="box"];974[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];367 -> 974[label="",style="solid", color="blue", weight=9]; 974 -> 395[label="",style="solid", color="blue", weight=3]; 975[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];367 -> 975[label="",style="solid", color="blue", weight=9]; 975 -> 396[label="",style="solid", color="blue", weight=3]; 976[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];367 -> 976[label="",style="solid", color="blue", weight=9]; 976 -> 397[label="",style="solid", color="blue", weight=3]; 977[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];367 -> 977[label="",style="solid", color="blue", weight=9]; 977 -> 398[label="",style="solid", color="blue", weight=3]; 978[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];367 -> 978[label="",style="solid", color="blue", weight=9]; 978 -> 399[label="",style="solid", color="blue", weight=3]; 979[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];367 -> 979[label="",style="solid", color="blue", weight=9]; 979 -> 400[label="",style="solid", color="blue", weight=3]; 980[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];367 -> 980[label="",style="solid", color="blue", weight=9]; 980 -> 401[label="",style="solid", color="blue", weight=3]; 981[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];367 -> 981[label="",style="solid", color="blue", weight=9]; 981 -> 402[label="",style="solid", color="blue", weight=3]; 982[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];367 -> 982[label="",style="solid", color="blue", weight=9]; 982 -> 403[label="",style="solid", color="blue", weight=3]; 983[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];367 -> 983[label="",style="solid", color="blue", weight=9]; 983 -> 404[label="",style="solid", color="blue", weight=3]; 984[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];367 -> 984[label="",style="solid", color="blue", weight=9]; 984 -> 405[label="",style="solid", color="blue", weight=3]; 985[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];367 -> 985[label="",style="solid", color="blue", weight=9]; 985 -> 406[label="",style="solid", color="blue", weight=3]; 986[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];367 -> 986[label="",style="solid", color="blue", weight=9]; 986 -> 407[label="",style="solid", color="blue", weight=3]; 987[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];367 -> 987[label="",style="solid", color="blue", weight=9]; 987 -> 408[label="",style="solid", color="blue", weight=3]; 368 -> 364[label="",style="dashed", color="red", weight=0]; 368[label="xv31 == xv41 && xv32 == xv42",fontsize=16,color="magenta"];368 -> 409[label="",style="dashed", color="magenta", weight=3]; 368 -> 410[label="",style="dashed", color="magenta", weight=3]; 306[label="primEqNat xv30 xv40",fontsize=16,color="burlywood",shape="triangle"];988[label="xv30/Succ xv300",fontsize=10,color="white",style="solid",shape="box"];306 -> 988[label="",style="solid", color="burlywood", weight=9]; 988 -> 411[label="",style="solid", color="burlywood", weight=3]; 989[label="xv30/Zero",fontsize=10,color="white",style="solid",shape="box"];306 -> 989[label="",style="solid", color="burlywood", weight=9]; 989 -> 412[label="",style="solid", color="burlywood", weight=3]; 307 -> 146[label="",style="dashed", color="red", weight=0]; 307[label="xv30 == xv40",fontsize=16,color="magenta"];307 -> 413[label="",style="dashed", color="magenta", weight=3]; 307 -> 414[label="",style="dashed", color="magenta", weight=3]; 308 -> 147[label="",style="dashed", color="red", weight=0]; 308[label="xv30 == xv40",fontsize=16,color="magenta"];308 -> 415[label="",style="dashed", color="magenta", weight=3]; 308 -> 416[label="",style="dashed", color="magenta", weight=3]; 309 -> 148[label="",style="dashed", color="red", weight=0]; 309[label="xv30 == xv40",fontsize=16,color="magenta"];309 -> 417[label="",style="dashed", color="magenta", weight=3]; 309 -> 418[label="",style="dashed", color="magenta", weight=3]; 310 -> 149[label="",style="dashed", color="red", weight=0]; 310[label="xv30 == xv40",fontsize=16,color="magenta"];310 -> 419[label="",style="dashed", color="magenta", weight=3]; 310 -> 420[label="",style="dashed", color="magenta", weight=3]; 311 -> 150[label="",style="dashed", color="red", weight=0]; 311[label="xv30 == xv40",fontsize=16,color="magenta"];311 -> 421[label="",style="dashed", color="magenta", weight=3]; 311 -> 422[label="",style="dashed", 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-> 155[label="",style="dashed", color="red", weight=0]; 316[label="xv30 == xv40",fontsize=16,color="magenta"];316 -> 431[label="",style="dashed", color="magenta", weight=3]; 316 -> 432[label="",style="dashed", color="magenta", weight=3]; 317 -> 156[label="",style="dashed", color="red", weight=0]; 317[label="xv30 == xv40",fontsize=16,color="magenta"];317 -> 433[label="",style="dashed", color="magenta", weight=3]; 317 -> 434[label="",style="dashed", color="magenta", weight=3]; 318 -> 157[label="",style="dashed", color="red", weight=0]; 318[label="xv30 == xv40",fontsize=16,color="magenta"];318 -> 435[label="",style="dashed", color="magenta", weight=3]; 318 -> 436[label="",style="dashed", color="magenta", weight=3]; 319 -> 158[label="",style="dashed", color="red", weight=0]; 319[label="xv30 == xv40",fontsize=16,color="magenta"];319 -> 437[label="",style="dashed", color="magenta", weight=3]; 319 -> 438[label="",style="dashed", color="magenta", weight=3]; 320 -> 159[label="",style="dashed", color="red", weight=0]; 320[label="xv30 == xv40",fontsize=16,color="magenta"];320 -> 439[label="",style="dashed", color="magenta", weight=3]; 320 -> 440[label="",style="dashed", color="magenta", weight=3]; 321 -> 146[label="",style="dashed", color="red", weight=0]; 321[label="xv30 == xv40",fontsize=16,color="magenta"];321 -> 441[label="",style="dashed", color="magenta", weight=3]; 321 -> 442[label="",style="dashed", color="magenta", weight=3]; 322 -> 147[label="",style="dashed", color="red", weight=0]; 322[label="xv30 == xv40",fontsize=16,color="magenta"];322 -> 443[label="",style="dashed", color="magenta", weight=3]; 322 -> 444[label="",style="dashed", color="magenta", weight=3]; 323 -> 148[label="",style="dashed", color="red", weight=0]; 323[label="xv30 == xv40",fontsize=16,color="magenta"];323 -> 445[label="",style="dashed", color="magenta", weight=3]; 323 -> 446[label="",style="dashed", color="magenta", weight=3]; 324 -> 149[label="",style="dashed", color="red", weight=0]; 324[label="xv30 == xv40",fontsize=16,color="magenta"];324 -> 447[label="",style="dashed", color="magenta", weight=3]; 324 -> 448[label="",style="dashed", color="magenta", weight=3]; 325 -> 150[label="",style="dashed", color="red", weight=0]; 325[label="xv30 == xv40",fontsize=16,color="magenta"];325 -> 449[label="",style="dashed", color="magenta", weight=3]; 325 -> 450[label="",style="dashed", color="magenta", weight=3]; 326 -> 151[label="",style="dashed", color="red", weight=0]; 326[label="xv30 == xv40",fontsize=16,color="magenta"];326 -> 451[label="",style="dashed", color="magenta", weight=3]; 326 -> 452[label="",style="dashed", color="magenta", weight=3]; 327 -> 152[label="",style="dashed", color="red", weight=0]; 327[label="xv30 == xv40",fontsize=16,color="magenta"];327 -> 453[label="",style="dashed", color="magenta", weight=3]; 327 -> 454[label="",style="dashed", color="magenta", weight=3]; 328 -> 153[label="",style="dashed", color="red", weight=0]; 328[label="xv30 == xv40",fontsize=16,color="magenta"];328 -> 455[label="",style="dashed", color="magenta", weight=3]; 328 -> 456[label="",style="dashed", color="magenta", weight=3]; 329 -> 154[label="",style="dashed", color="red", weight=0]; 329[label="xv30 == xv40",fontsize=16,color="magenta"];329 -> 457[label="",style="dashed", color="magenta", weight=3]; 329 -> 458[label="",style="dashed", color="magenta", weight=3]; 330 -> 155[label="",style="dashed", color="red", weight=0]; 330[label="xv30 == xv40",fontsize=16,color="magenta"];330 -> 459[label="",style="dashed", color="magenta", weight=3]; 330 -> 460[label="",style="dashed", color="magenta", weight=3]; 331 -> 156[label="",style="dashed", color="red", weight=0]; 331[label="xv30 == xv40",fontsize=16,color="magenta"];331 -> 461[label="",style="dashed", color="magenta", weight=3]; 331 -> 462[label="",style="dashed", color="magenta", weight=3]; 332 -> 157[label="",style="dashed", color="red", weight=0]; 332[label="xv30 == xv40",fontsize=16,color="magenta"];332 -> 463[label="",style="dashed", color="magenta", weight=3]; 332 -> 464[label="",style="dashed", color="magenta", weight=3]; 333 -> 158[label="",style="dashed", color="red", weight=0]; 333[label="xv30 == xv40",fontsize=16,color="magenta"];333 -> 465[label="",style="dashed", color="magenta", weight=3]; 333 -> 466[label="",style="dashed", color="magenta", weight=3]; 334 -> 159[label="",style="dashed", color="red", weight=0]; 334[label="xv30 == xv40",fontsize=16,color="magenta"];334 -> 467[label="",style="dashed", color="magenta", weight=3]; 334 -> 468[label="",style="dashed", color="magenta", weight=3]; 335[label="xv40",fontsize=16,color="green",shape="box"];336[label="xv30",fontsize=16,color="green",shape="box"];369[label="xv30 == xv40",fontsize=16,color="blue",shape="box"];990[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];369 -> 990[label="",style="solid", color="blue", weight=9]; 990 -> 469[label="",style="solid", color="blue", weight=3]; 991[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];369 -> 991[label="",style="solid", color="blue", weight=9]; 991 -> 470[label="",style="solid", color="blue", weight=3]; 992[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];369 -> 992[label="",style="solid", color="blue", weight=9]; 992 -> 471[label="",style="solid", color="blue", weight=3]; 993[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];369 -> 993[label="",style="solid", color="blue", weight=9]; 993 -> 472[label="",style="solid", color="blue", weight=3]; 994[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];369 -> 994[label="",style="solid", color="blue", weight=9]; 994 -> 473[label="",style="solid", color="blue", weight=3]; 995[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];369 -> 995[label="",style="solid", color="blue", weight=9]; 995 -> 474[label="",style="solid", color="blue", weight=3]; 996[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];369 -> 996[label="",style="solid", color="blue", weight=9]; 996 -> 475[label="",style="solid", color="blue", weight=3]; 997[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];369 -> 997[label="",style="solid", color="blue", weight=9]; 997 -> 476[label="",style="solid", color="blue", weight=3]; 998[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];369 -> 998[label="",style="solid", color="blue", weight=9]; 998 -> 477[label="",style="solid", color="blue", weight=3]; 999[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];369 -> 999[label="",style="solid", color="blue", weight=9]; 999 -> 478[label="",style="solid", color="blue", weight=3]; 1000[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];369 -> 1000[label="",style="solid", color="blue", weight=9]; 1000 -> 479[label="",style="solid", color="blue", weight=3]; 1001[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];369 -> 1001[label="",style="solid", color="blue", weight=9]; 1001 -> 480[label="",style="solid", color="blue", weight=3]; 1002[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];369 -> 1002[label="",style="solid", color="blue", weight=9]; 1002 -> 481[label="",style="solid", color="blue", weight=3]; 1003[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];369 -> 1003[label="",style="solid", color="blue", weight=9]; 1003 -> 482[label="",style="solid", color="blue", weight=3]; 370[label="xv31 == xv41",fontsize=16,color="blue",shape="box"];1004[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];370 -> 1004[label="",style="solid", color="blue", weight=9]; 1004 -> 483[label="",style="solid", color="blue", weight=3]; 1005[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];370 -> 1005[label="",style="solid", color="blue", weight=9]; 1005 -> 484[label="",style="solid", color="blue", weight=3]; 1006[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];370 -> 1006[label="",style="solid", color="blue", weight=9]; 1006 -> 485[label="",style="solid", color="blue", weight=3]; 1007[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];370 -> 1007[label="",style="solid", color="blue", weight=9]; 1007 -> 486[label="",style="solid", color="blue", weight=3]; 1008[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];370 -> 1008[label="",style="solid", color="blue", weight=9]; 1008 -> 487[label="",style="solid", color="blue", weight=3]; 1009[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];370 -> 1009[label="",style="solid", color="blue", weight=9]; 1009 -> 488[label="",style="solid", color="blue", weight=3]; 1010[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];370 -> 1010[label="",style="solid", color="blue", weight=9]; 1010 -> 489[label="",style="solid", color="blue", weight=3]; 1011[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];370 -> 1011[label="",style="solid", color="blue", weight=9]; 1011 -> 490[label="",style="solid", color="blue", weight=3]; 1012[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];370 -> 1012[label="",style="solid", color="blue", 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409[label="xv31 == xv41",fontsize=16,color="blue",shape="box"];1034[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];409 -> 1034[label="",style="solid", color="blue", weight=9]; 1034 -> 606[label="",style="solid", color="blue", weight=3]; 1035[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];409 -> 1035[label="",style="solid", color="blue", weight=9]; 1035 -> 607[label="",style="solid", color="blue", weight=3]; 1036[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];409 -> 1036[label="",style="solid", color="blue", weight=9]; 1036 -> 608[label="",style="solid", color="blue", weight=3]; 1037[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];409 -> 1037[label="",style="solid", color="blue", weight=9]; 1037 -> 609[label="",style="solid", color="blue", weight=3]; 1038[label="== :: Ordering -> Ordering -> 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weight=9]; 1055 -> 627[label="",style="solid", color="blue", weight=3]; 1056[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];410 -> 1056[label="",style="solid", color="blue", weight=9]; 1056 -> 628[label="",style="solid", color="blue", weight=3]; 1057[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];410 -> 1057[label="",style="solid", color="blue", weight=9]; 1057 -> 629[label="",style="solid", color="blue", weight=3]; 1058[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];410 -> 1058[label="",style="solid", color="blue", weight=9]; 1058 -> 630[label="",style="solid", color="blue", weight=3]; 1059[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];410 -> 1059[label="",style="solid", color="blue", weight=9]; 1059 -> 631[label="",style="solid", color="blue", weight=3]; 1060[label="== :: (Maybe a) -> (Maybe 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xv40",fontsize=16,color="burlywood",shape="box"];1064[label="xv40/Succ xv400",fontsize=10,color="white",style="solid",shape="box"];412 -> 1064[label="",style="solid", color="burlywood", weight=9]; 1064 -> 636[label="",style="solid", color="burlywood", weight=3]; 1065[label="xv40/Zero",fontsize=10,color="white",style="solid",shape="box"];412 -> 1065[label="",style="solid", color="burlywood", weight=9]; 1065 -> 637[label="",style="solid", color="burlywood", weight=3]; 413[label="xv40",fontsize=16,color="green",shape="box"];414[label="xv30",fontsize=16,color="green",shape="box"];415[label="xv40",fontsize=16,color="green",shape="box"];416[label="xv30",fontsize=16,color="green",shape="box"];417[label="xv40",fontsize=16,color="green",shape="box"];418[label="xv30",fontsize=16,color="green",shape="box"];419[label="xv40",fontsize=16,color="green",shape="box"];420[label="xv30",fontsize=16,color="green",shape="box"];421[label="xv40",fontsize=16,color="green",shape="box"];422[label="xv30",fontsize=16,color="green",shape="box"];423[label="xv40",fontsize=16,color="green",shape="box"];424[label="xv30",fontsize=16,color="green",shape="box"];425[label="xv40",fontsize=16,color="green",shape="box"];426[label="xv30",fontsize=16,color="green",shape="box"];427[label="xv40",fontsize=16,color="green",shape="box"];428[label="xv30",fontsize=16,color="green",shape="box"];429[label="xv40",fontsize=16,color="green",shape="box"];430[label="xv30",fontsize=16,color="green",shape="box"];431[label="xv40",fontsize=16,color="green",shape="box"];432[label="xv30",fontsize=16,color="green",shape="box"];433[label="xv40",fontsize=16,color="green",shape="box"];434[label="xv30",fontsize=16,color="green",shape="box"];435[label="xv40",fontsize=16,color="green",shape="box"];436[label="xv30",fontsize=16,color="green",shape="box"];437[label="xv40",fontsize=16,color="green",shape="box"];438[label="xv30",fontsize=16,color="green",shape="box"];439[label="xv40",fontsize=16,color="green",shape="box"];440[label="xv30",fontsize=16,color="green",shape="box"];441[label="xv40",fontsize=16,color="green",shape="box"];442[label="xv30",fontsize=16,color="green",shape="box"];443[label="xv40",fontsize=16,color="green",shape="box"];444[label="xv30",fontsize=16,color="green",shape="box"];445[label="xv40",fontsize=16,color="green",shape="box"];446[label="xv30",fontsize=16,color="green",shape="box"];447[label="xv40",fontsize=16,color="green",shape="box"];448[label="xv30",fontsize=16,color="green",shape="box"];449[label="xv40",fontsize=16,color="green",shape="box"];450[label="xv30",fontsize=16,color="green",shape="box"];451[label="xv40",fontsize=16,color="green",shape="box"];452[label="xv30",fontsize=16,color="green",shape="box"];453[label="xv40",fontsize=16,color="green",shape="box"];454[label="xv30",fontsize=16,color="green",shape="box"];455[label="xv40",fontsize=16,color="green",shape="box"];456[label="xv30",fontsize=16,color="green",shape="box"];457[label="xv40",fontsize=16,color="green",shape="box"];458[label="xv30",fontsize=16,color="green",shape="box"];459[label="xv40",fontsize=16,color="green",shape="box"];460[label="xv30",fontsize=16,color="green",shape="box"];461[label="xv40",fontsize=16,color="green",shape="box"];462[label="xv30",fontsize=16,color="green",shape="box"];463[label="xv40",fontsize=16,color="green",shape="box"];464[label="xv30",fontsize=16,color="green",shape="box"];465[label="xv40",fontsize=16,color="green",shape="box"];466[label="xv30",fontsize=16,color="green",shape="box"];467[label="xv40",fontsize=16,color="green",shape="box"];468[label="xv30",fontsize=16,color="green",shape="box"];469 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503[label="xv40",fontsize=16,color="green",shape="box"];504[label="xv30",fontsize=16,color="green",shape="box"];505[label="xv40",fontsize=16,color="green",shape="box"];506[label="xv30",fontsize=16,color="green",shape="box"];507[label="xv40",fontsize=16,color="green",shape="box"];508[label="xv30",fontsize=16,color="green",shape="box"];509[label="xv40",fontsize=16,color="green",shape="box"];510[label="xv30",fontsize=16,color="green",shape="box"];511[label="xv40",fontsize=16,color="green",shape="box"];512[label="xv30",fontsize=16,color="green",shape="box"];513[label="xv40",fontsize=16,color="green",shape="box"];514[label="xv30",fontsize=16,color="green",shape="box"];515[label="xv40",fontsize=16,color="green",shape="box"];516[label="xv30",fontsize=16,color="green",shape="box"];517[label="xv40",fontsize=16,color="green",shape="box"];518[label="xv30",fontsize=16,color="green",shape="box"];519[label="xv40",fontsize=16,color="green",shape="box"];520[label="xv30",fontsize=16,color="green",shape="box"];521[label="xv40",fontsize=16,color="green",shape="box"];522[label="xv30",fontsize=16,color="green",shape="box"];523[label="xv40",fontsize=16,color="green",shape="box"];524[label="xv30",fontsize=16,color="green",shape="box"];525[label="xv40",fontsize=16,color="green",shape="box"];526[label="xv30",fontsize=16,color="green",shape="box"];527[label="xv40",fontsize=16,color="green",shape="box"];528[label="xv30",fontsize=16,color="green",shape="box"];529[label="xv40",fontsize=16,color="green",shape="box"];530[label="xv30",fontsize=16,color="green",shape="box"];531[label="primEqInt 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538[label="False",fontsize=16,color="green",shape="box"];539[label="primEqInt (Neg (Succ xv300)) (Neg (Succ xv400))",fontsize=16,color="black",shape="box"];539 -> 712[label="",style="solid", color="black", weight=3]; 540[label="primEqInt (Neg (Succ xv300)) (Neg Zero)",fontsize=16,color="black",shape="box"];540 -> 713[label="",style="solid", color="black", weight=3]; 541[label="primEqInt (Neg Zero) (Pos (Succ xv400))",fontsize=16,color="black",shape="box"];541 -> 714[label="",style="solid", color="black", weight=3]; 542[label="primEqInt (Neg Zero) (Pos Zero)",fontsize=16,color="black",shape="box"];542 -> 715[label="",style="solid", color="black", weight=3]; 543[label="primEqInt (Neg Zero) (Neg (Succ xv400))",fontsize=16,color="black",shape="box"];543 -> 716[label="",style="solid", color="black", weight=3]; 544[label="primEqInt (Neg Zero) (Neg Zero)",fontsize=16,color="black",shape="box"];544 -> 717[label="",style="solid", color="black", weight=3]; 545[label="primMulInt xv31 xv40",fontsize=16,color="burlywood",shape="box"];1066[label="xv31/Pos xv310",fontsize=10,color="white",style="solid",shape="box"];545 -> 1066[label="",style="solid", color="burlywood", weight=9]; 1066 -> 718[label="",style="solid", color="burlywood", weight=3]; 1067[label="xv31/Neg xv310",fontsize=10,color="white",style="solid",shape="box"];545 -> 1067[label="",style="solid", color="burlywood", weight=9]; 1067 -> 719[label="",style="solid", color="burlywood", weight=3]; 546[label="xv41",fontsize=16,color="green",shape="box"];547[label="xv30",fontsize=16,color="green",shape="box"];548[label="xv40",fontsize=16,color="green",shape="box"];549[label="xv30",fontsize=16,color="green",shape="box"];550[label="xv40",fontsize=16,color="green",shape="box"];551[label="xv30",fontsize=16,color="green",shape="box"];552[label="xv40",fontsize=16,color="green",shape="box"];553[label="xv30",fontsize=16,color="green",shape="box"];554[label="xv40",fontsize=16,color="green",shape="box"];555[label="xv30",fontsize=16,color="green",shape="box"];556[label="xv40",fontsize=16,color="green",shape="box"];557[label="xv30",fontsize=16,color="green",shape="box"];558[label="xv40",fontsize=16,color="green",shape="box"];559[label="xv30",fontsize=16,color="green",shape="box"];560[label="xv40",fontsize=16,color="green",shape="box"];561[label="xv30",fontsize=16,color="green",shape="box"];562[label="xv40",fontsize=16,color="green",shape="box"];563[label="xv30",fontsize=16,color="green",shape="box"];564[label="xv40",fontsize=16,color="green",shape="box"];565[label="xv30",fontsize=16,color="green",shape="box"];566[label="xv40",fontsize=16,color="green",shape="box"];567[label="xv30",fontsize=16,color="green",shape="box"];568[label="xv40",fontsize=16,color="green",shape="box"];569[label="xv30",fontsize=16,color="green",shape="box"];570[label="xv40",fontsize=16,color="green",shape="box"];571[label="xv30",fontsize=16,color="green",shape="box"];572[label="xv40",fontsize=16,color="green",shape="box"];573[label="xv30",fontsize=16,color="green",shape="box"];574[label="xv40",fontsize=16,color="green",shape="box"];575[label="xv30",fontsize=16,color="green",shape="box"];576[label="False",fontsize=16,color="green",shape="box"];577[label="xv31",fontsize=16,color="green",shape="box"];578[label="xv40",fontsize=16,color="green",shape="box"];579[label="xv30",fontsize=16,color="green",shape="box"];580[label="xv40",fontsize=16,color="green",shape="box"];581[label="xv30",fontsize=16,color="green",shape="box"];582[label="xv40",fontsize=16,color="green",shape="box"];583[label="xv30",fontsize=16,color="green",shape="box"];584[label="xv40",fontsize=16,color="green",shape="box"];585[label="xv30",fontsize=16,color="green",shape="box"];586[label="xv40",fontsize=16,color="green",shape="box"];587[label="xv30",fontsize=16,color="green",shape="box"];588[label="xv40",fontsize=16,color="green",shape="box"];589[label="xv30",fontsize=16,color="green",shape="box"];590[label="xv40",fontsize=16,color="green",shape="box"];591[label="xv30",fontsize=16,color="green",shape="box"];592[label="xv40",fontsize=16,color="green",shape="box"];593[label="xv30",fontsize=16,color="green",shape="box"];594[label="xv40",fontsize=16,color="green",shape="box"];595[label="xv30",fontsize=16,color="green",shape="box"];596[label="xv40",fontsize=16,color="green",shape="box"];597[label="xv30",fontsize=16,color="green",shape="box"];598[label="xv40",fontsize=16,color="green",shape="box"];599[label="xv30",fontsize=16,color="green",shape="box"];600[label="xv40",fontsize=16,color="green",shape="box"];601[label="xv30",fontsize=16,color="green",shape="box"];602[label="xv40",fontsize=16,color="green",shape="box"];603[label="xv30",fontsize=16,color="green",shape="box"];604[label="xv40",fontsize=16,color="green",shape="box"];605[label="xv30",fontsize=16,color="green",shape="box"];606 -> 146[label="",style="dashed", color="red", weight=0]; 606[label="xv31 == xv41",fontsize=16,color="magenta"];606 -> 720[label="",style="dashed", color="magenta", weight=3]; 606 -> 721[label="",style="dashed", color="magenta", weight=3]; 607 -> 147[label="",style="dashed", color="red", weight=0]; 607[label="xv31 == xv41",fontsize=16,color="magenta"];607 -> 722[label="",style="dashed", color="magenta", weight=3]; 607 -> 723[label="",style="dashed", color="magenta", weight=3]; 608 -> 148[label="",style="dashed", color="red", weight=0]; 608[label="xv31 == xv41",fontsize=16,color="magenta"];608 -> 724[label="",style="dashed", color="magenta", weight=3]; 608 -> 725[label="",style="dashed", color="magenta", weight=3]; 609 -> 149[label="",style="dashed", color="red", weight=0]; 609[label="xv31 == xv41",fontsize=16,color="magenta"];609 -> 726[label="",style="dashed", color="magenta", weight=3]; 609 -> 727[label="",style="dashed", color="magenta", weight=3]; 610 -> 150[label="",style="dashed", color="red", weight=0]; 610[label="xv31 == xv41",fontsize=16,color="magenta"];610 -> 728[label="",style="dashed", color="magenta", weight=3]; 610 -> 729[label="",style="dashed", color="magenta", weight=3]; 611 -> 151[label="",style="dashed", color="red", weight=0]; 611[label="xv31 == xv41",fontsize=16,color="magenta"];611 -> 730[label="",style="dashed", color="magenta", weight=3]; 611 -> 731[label="",style="dashed", color="magenta", weight=3]; 612 -> 152[label="",style="dashed", color="red", weight=0]; 612[label="xv31 == xv41",fontsize=16,color="magenta"];612 -> 732[label="",style="dashed", color="magenta", weight=3]; 612 -> 733[label="",style="dashed", color="magenta", weight=3]; 613 -> 153[label="",style="dashed", color="red", weight=0]; 613[label="xv31 == xv41",fontsize=16,color="magenta"];613 -> 734[label="",style="dashed", color="magenta", weight=3]; 613 -> 735[label="",style="dashed", color="magenta", weight=3]; 614 -> 154[label="",style="dashed", color="red", weight=0]; 614[label="xv31 == xv41",fontsize=16,color="magenta"];614 -> 736[label="",style="dashed", color="magenta", weight=3]; 614 -> 737[label="",style="dashed", color="magenta", weight=3]; 615 -> 155[label="",style="dashed", color="red", weight=0]; 615[label="xv31 == xv41",fontsize=16,color="magenta"];615 -> 738[label="",style="dashed", color="magenta", weight=3]; 615 -> 739[label="",style="dashed", color="magenta", weight=3]; 616 -> 156[label="",style="dashed", color="red", weight=0]; 616[label="xv31 == xv41",fontsize=16,color="magenta"];616 -> 740[label="",style="dashed", color="magenta", weight=3]; 616 -> 741[label="",style="dashed", color="magenta", weight=3]; 617 -> 157[label="",style="dashed", color="red", weight=0]; 617[label="xv31 == xv41",fontsize=16,color="magenta"];617 -> 742[label="",style="dashed", color="magenta", weight=3]; 617 -> 743[label="",style="dashed", color="magenta", weight=3]; 618 -> 158[label="",style="dashed", color="red", weight=0]; 618[label="xv31 == xv41",fontsize=16,color="magenta"];618 -> 744[label="",style="dashed", color="magenta", weight=3]; 618 -> 745[label="",style="dashed", color="magenta", weight=3]; 619 -> 159[label="",style="dashed", color="red", weight=0]; 619[label="xv31 == xv41",fontsize=16,color="magenta"];619 -> 746[label="",style="dashed", color="magenta", weight=3]; 619 -> 747[label="",style="dashed", color="magenta", weight=3]; 620 -> 146[label="",style="dashed", color="red", weight=0]; 620[label="xv32 == xv42",fontsize=16,color="magenta"];620 -> 748[label="",style="dashed", color="magenta", weight=3]; 620 -> 749[label="",style="dashed", color="magenta", weight=3]; 621 -> 147[label="",style="dashed", color="red", weight=0]; 621[label="xv32 == xv42",fontsize=16,color="magenta"];621 -> 750[label="",style="dashed", color="magenta", weight=3]; 621 -> 751[label="",style="dashed", color="magenta", weight=3]; 622 -> 148[label="",style="dashed", color="red", weight=0]; 622[label="xv32 == xv42",fontsize=16,color="magenta"];622 -> 752[label="",style="dashed", color="magenta", weight=3]; 622 -> 753[label="",style="dashed", color="magenta", weight=3]; 623 -> 149[label="",style="dashed", color="red", weight=0]; 623[label="xv32 == xv42",fontsize=16,color="magenta"];623 -> 754[label="",style="dashed", color="magenta", weight=3]; 623 -> 755[label="",style="dashed", color="magenta", weight=3]; 624 -> 150[label="",style="dashed", color="red", weight=0]; 624[label="xv32 == xv42",fontsize=16,color="magenta"];624 -> 756[label="",style="dashed", color="magenta", weight=3]; 624 -> 757[label="",style="dashed", color="magenta", weight=3]; 625 -> 151[label="",style="dashed", color="red", weight=0]; 625[label="xv32 == xv42",fontsize=16,color="magenta"];625 -> 758[label="",style="dashed", color="magenta", weight=3]; 625 -> 759[label="",style="dashed", color="magenta", weight=3]; 626 -> 152[label="",style="dashed", color="red", weight=0]; 626[label="xv32 == xv42",fontsize=16,color="magenta"];626 -> 760[label="",style="dashed", color="magenta", weight=3]; 626 -> 761[label="",style="dashed", color="magenta", weight=3]; 627 -> 153[label="",style="dashed", color="red", weight=0]; 627[label="xv32 == xv42",fontsize=16,color="magenta"];627 -> 762[label="",style="dashed", color="magenta", weight=3]; 627 -> 763[label="",style="dashed", color="magenta", weight=3]; 628 -> 154[label="",style="dashed", color="red", weight=0]; 628[label="xv32 == xv42",fontsize=16,color="magenta"];628 -> 764[label="",style="dashed", color="magenta", weight=3]; 628 -> 765[label="",style="dashed", color="magenta", weight=3]; 629 -> 155[label="",style="dashed", color="red", weight=0]; 629[label="xv32 == xv42",fontsize=16,color="magenta"];629 -> 766[label="",style="dashed", color="magenta", weight=3]; 629 -> 767[label="",style="dashed", color="magenta", weight=3]; 630 -> 156[label="",style="dashed", color="red", weight=0]; 630[label="xv32 == xv42",fontsize=16,color="magenta"];630 -> 768[label="",style="dashed", color="magenta", weight=3]; 630 -> 769[label="",style="dashed", color="magenta", weight=3]; 631 -> 157[label="",style="dashed", color="red", weight=0]; 631[label="xv32 == xv42",fontsize=16,color="magenta"];631 -> 770[label="",style="dashed", color="magenta", weight=3]; 631 -> 771[label="",style="dashed", color="magenta", weight=3]; 632 -> 158[label="",style="dashed", color="red", weight=0]; 632[label="xv32 == xv42",fontsize=16,color="magenta"];632 -> 772[label="",style="dashed", color="magenta", weight=3]; 632 -> 773[label="",style="dashed", color="magenta", weight=3]; 633 -> 159[label="",style="dashed", color="red", weight=0]; 633[label="xv32 == xv42",fontsize=16,color="magenta"];633 -> 774[label="",style="dashed", color="magenta", weight=3]; 633 -> 775[label="",style="dashed", color="magenta", weight=3]; 634[label="primEqNat (Succ xv300) (Succ xv400)",fontsize=16,color="black",shape="box"];634 -> 776[label="",style="solid", color="black", weight=3]; 635[label="primEqNat (Succ xv300) Zero",fontsize=16,color="black",shape="box"];635 -> 777[label="",style="solid", color="black", weight=3]; 636[label="primEqNat Zero (Succ xv400)",fontsize=16,color="black",shape="box"];636 -> 778[label="",style="solid", color="black", weight=3]; 637[label="primEqNat Zero Zero",fontsize=16,color="black",shape="box"];637 -> 779[label="",style="solid", color="black", weight=3]; 638[label="xv40",fontsize=16,color="green",shape="box"];639[label="xv30",fontsize=16,color="green",shape="box"];640[label="xv40",fontsize=16,color="green",shape="box"];641[label="xv30",fontsize=16,color="green",shape="box"];642[label="xv40",fontsize=16,color="green",shape="box"];643[label="xv30",fontsize=16,color="green",shape="box"];644[label="xv40",fontsize=16,color="green",shape="box"];645[label="xv30",fontsize=16,color="green",shape="box"];646[label="xv40",fontsize=16,color="green",shape="box"];647[label="xv30",fontsize=16,color="green",shape="box"];648[label="xv40",fontsize=16,color="green",shape="box"];649[label="xv30",fontsize=16,color="green",shape="box"];650[label="xv40",fontsize=16,color="green",shape="box"];651[label="xv30",fontsize=16,color="green",shape="box"];652[label="xv40",fontsize=16,color="green",shape="box"];653[label="xv30",fontsize=16,color="green",shape="box"];654[label="xv40",fontsize=16,color="green",shape="box"];655[label="xv30",fontsize=16,color="green",shape="box"];656[label="xv40",fontsize=16,color="green",shape="box"];657[label="xv30",fontsize=16,color="green",shape="box"];658[label="xv40",fontsize=16,color="green",shape="box"];659[label="xv30",fontsize=16,color="green",shape="box"];660[label="xv40",fontsize=16,color="green",shape="box"];661[label="xv30",fontsize=16,color="green",shape="box"];662[label="xv40",fontsize=16,color="green",shape="box"];663[label="xv30",fontsize=16,color="green",shape="box"];664[label="xv40",fontsize=16,color="green",shape="box"];665[label="xv30",fontsize=16,color="green",shape="box"];666[label="xv41",fontsize=16,color="green",shape="box"];667[label="xv31",fontsize=16,color="green",shape="box"];668[label="xv41",fontsize=16,color="green",shape="box"];669[label="xv31",fontsize=16,color="green",shape="box"];670[label="xv41",fontsize=16,color="green",shape="box"];671[label="xv31",fontsize=16,color="green",shape="box"];672[label="xv41",fontsize=16,color="green",shape="box"];673[label="xv31",fontsize=16,color="green",shape="box"];674[label="xv41",fontsize=16,color="green",shape="box"];675[label="xv31",fontsize=16,color="green",shape="box"];676[label="xv41",fontsize=16,color="green",shape="box"];677[label="xv31",fontsize=16,color="green",shape="box"];678[label="xv41",fontsize=16,color="green",shape="box"];679[label="xv31",fontsize=16,color="green",shape="box"];680[label="xv41",fontsize=16,color="green",shape="box"];681[label="xv31",fontsize=16,color="green",shape="box"];682[label="xv41",fontsize=16,color="green",shape="box"];683[label="xv31",fontsize=16,color="green",shape="box"];684[label="xv41",fontsize=16,color="green",shape="box"];685[label="xv31",fontsize=16,color="green",shape="box"];686[label="xv41",fontsize=16,color="green",shape="box"];687[label="xv31",fontsize=16,color="green",shape="box"];688[label="xv41",fontsize=16,color="green",shape="box"];689[label="xv31",fontsize=16,color="green",shape="box"];690[label="xv41",fontsize=16,color="green",shape="box"];691[label="xv31",fontsize=16,color="green",shape="box"];692[label="xv41",fontsize=16,color="green",shape="box"];693[label="xv31",fontsize=16,color="green",shape="box"];694[label="xv40",fontsize=16,color="green",shape="box"];695[label="xv31",fontsize=16,color="green",shape="box"];696[label="xv41",fontsize=16,color="green",shape="box"];697[label="xv30",fontsize=16,color="green",shape="box"];698[label="xv40",fontsize=16,color="green",shape="box"];699[label="xv30",fontsize=16,color="green",shape="box"];700[label="xv40",fontsize=16,color="green",shape="box"];701[label="xv30",fontsize=16,color="green",shape="box"];702[label="xv41",fontsize=16,color="green",shape="box"];703[label="xv31",fontsize=16,color="green",shape="box"];704[label="xv41",fontsize=16,color="green",shape="box"];705[label="xv31",fontsize=16,color="green",shape="box"];706 -> 306[label="",style="dashed", color="red", weight=0]; 706[label="primEqNat xv300 xv400",fontsize=16,color="magenta"];706 -> 780[label="",style="dashed", color="magenta", weight=3]; 706 -> 781[label="",style="dashed", color="magenta", weight=3]; 707[label="False",fontsize=16,color="green",shape="box"];708[label="False",fontsize=16,color="green",shape="box"];709[label="True",fontsize=16,color="green",shape="box"];710[label="False",fontsize=16,color="green",shape="box"];711[label="True",fontsize=16,color="green",shape="box"];712 -> 306[label="",style="dashed", color="red", weight=0]; 712[label="primEqNat xv300 xv400",fontsize=16,color="magenta"];712 -> 782[label="",style="dashed", color="magenta", weight=3]; 712 -> 783[label="",style="dashed", color="magenta", weight=3]; 713[label="False",fontsize=16,color="green",shape="box"];714[label="False",fontsize=16,color="green",shape="box"];715[label="True",fontsize=16,color="green",shape="box"];716[label="False",fontsize=16,color="green",shape="box"];717[label="True",fontsize=16,color="green",shape="box"];718[label="primMulInt (Pos xv310) xv40",fontsize=16,color="burlywood",shape="box"];1068[label="xv40/Pos xv400",fontsize=10,color="white",style="solid",shape="box"];718 -> 1068[label="",style="solid", color="burlywood", weight=9]; 1068 -> 784[label="",style="solid", color="burlywood", weight=3]; 1069[label="xv40/Neg xv400",fontsize=10,color="white",style="solid",shape="box"];718 -> 1069[label="",style="solid", color="burlywood", weight=9]; 1069 -> 785[label="",style="solid", color="burlywood", weight=3]; 719[label="primMulInt (Neg xv310) xv40",fontsize=16,color="burlywood",shape="box"];1070[label="xv40/Pos xv400",fontsize=10,color="white",style="solid",shape="box"];719 -> 1070[label="",style="solid", color="burlywood", weight=9]; 1070 -> 786[label="",style="solid", color="burlywood", weight=3]; 1071[label="xv40/Neg xv400",fontsize=10,color="white",style="solid",shape="box"];719 -> 1071[label="",style="solid", color="burlywood", weight=9]; 1071 -> 787[label="",style="solid", color="burlywood", weight=3]; 720[label="xv41",fontsize=16,color="green",shape="box"];721[label="xv31",fontsize=16,color="green",shape="box"];722[label="xv41",fontsize=16,color="green",shape="box"];723[label="xv31",fontsize=16,color="green",shape="box"];724[label="xv41",fontsize=16,color="green",shape="box"];725[label="xv31",fontsize=16,color="green",shape="box"];726[label="xv41",fontsize=16,color="green",shape="box"];727[label="xv31",fontsize=16,color="green",shape="box"];728[label="xv41",fontsize=16,color="green",shape="box"];729[label="xv31",fontsize=16,color="green",shape="box"];730[label="xv41",fontsize=16,color="green",shape="box"];731[label="xv31",fontsize=16,color="green",shape="box"];732[label="xv41",fontsize=16,color="green",shape="box"];733[label="xv31",fontsize=16,color="green",shape="box"];734[label="xv41",fontsize=16,color="green",shape="box"];735[label="xv31",fontsize=16,color="green",shape="box"];736[label="xv41",fontsize=16,color="green",shape="box"];737[label="xv31",fontsize=16,color="green",shape="box"];738[label="xv41",fontsize=16,color="green",shape="box"];739[label="xv31",fontsize=16,color="green",shape="box"];740[label="xv41",fontsize=16,color="green",shape="box"];741[label="xv31",fontsize=16,color="green",shape="box"];742[label="xv41",fontsize=16,color="green",shape="box"];743[label="xv31",fontsize=16,color="green",shape="box"];744[label="xv41",fontsize=16,color="green",shape="box"];745[label="xv31",fontsize=16,color="green",shape="box"];746[label="xv41",fontsize=16,color="green",shape="box"];747[label="xv31",fontsize=16,color="green",shape="box"];748[label="xv42",fontsize=16,color="green",shape="box"];749[label="xv32",fontsize=16,color="green",shape="box"];750[label="xv42",fontsize=16,color="green",shape="box"];751[label="xv32",fontsize=16,color="green",shape="box"];752[label="xv42",fontsize=16,color="green",shape="box"];753[label="xv32",fontsize=16,color="green",shape="box"];754[label="xv42",fontsize=16,color="green",shape="box"];755[label="xv32",fontsize=16,color="green",shape="box"];756[label="xv42",fontsize=16,color="green",shape="box"];757[label="xv32",fontsize=16,color="green",shape="box"];758[label="xv42",fontsize=16,color="green",shape="box"];759[label="xv32",fontsize=16,color="green",shape="box"];760[label="xv42",fontsize=16,color="green",shape="box"];761[label="xv32",fontsize=16,color="green",shape="box"];762[label="xv42",fontsize=16,color="green",shape="box"];763[label="xv32",fontsize=16,color="green",shape="box"];764[label="xv42",fontsize=16,color="green",shape="box"];765[label="xv32",fontsize=16,color="green",shape="box"];766[label="xv42",fontsize=16,color="green",shape="box"];767[label="xv32",fontsize=16,color="green",shape="box"];768[label="xv42",fontsize=16,color="green",shape="box"];769[label="xv32",fontsize=16,color="green",shape="box"];770[label="xv42",fontsize=16,color="green",shape="box"];771[label="xv32",fontsize=16,color="green",shape="box"];772[label="xv42",fontsize=16,color="green",shape="box"];773[label="xv32",fontsize=16,color="green",shape="box"];774[label="xv42",fontsize=16,color="green",shape="box"];775[label="xv32",fontsize=16,color="green",shape="box"];776 -> 306[label="",style="dashed", color="red", weight=0]; 776[label="primEqNat xv300 xv400",fontsize=16,color="magenta"];776 -> 788[label="",style="dashed", color="magenta", weight=3]; 776 -> 789[label="",style="dashed", color="magenta", weight=3]; 777[label="False",fontsize=16,color="green",shape="box"];778[label="False",fontsize=16,color="green",shape="box"];779[label="True",fontsize=16,color="green",shape="box"];780[label="xv300",fontsize=16,color="green",shape="box"];781[label="xv400",fontsize=16,color="green",shape="box"];782[label="xv300",fontsize=16,color="green",shape="box"];783[label="xv400",fontsize=16,color="green",shape="box"];784[label="primMulInt (Pos xv310) (Pos xv400)",fontsize=16,color="black",shape="box"];784 -> 790[label="",style="solid", color="black", weight=3]; 785[label="primMulInt (Pos xv310) (Neg xv400)",fontsize=16,color="black",shape="box"];785 -> 791[label="",style="solid", color="black", weight=3]; 786[label="primMulInt (Neg xv310) (Pos xv400)",fontsize=16,color="black",shape="box"];786 -> 792[label="",style="solid", color="black", weight=3]; 787[label="primMulInt (Neg xv310) (Neg xv400)",fontsize=16,color="black",shape="box"];787 -> 793[label="",style="solid", color="black", weight=3]; 788[label="xv300",fontsize=16,color="green",shape="box"];789[label="xv400",fontsize=16,color="green",shape="box"];790[label="Pos (primMulNat xv310 xv400)",fontsize=16,color="green",shape="box"];790 -> 794[label="",style="dashed", color="green", weight=3]; 791[label="Neg (primMulNat xv310 xv400)",fontsize=16,color="green",shape="box"];791 -> 795[label="",style="dashed", color="green", weight=3]; 792[label="Neg (primMulNat xv310 xv400)",fontsize=16,color="green",shape="box"];792 -> 796[label="",style="dashed", color="green", weight=3]; 793[label="Pos (primMulNat xv310 xv400)",fontsize=16,color="green",shape="box"];793 -> 797[label="",style="dashed", color="green", weight=3]; 794[label="primMulNat xv310 xv400",fontsize=16,color="burlywood",shape="triangle"];1072[label="xv310/Succ xv3100",fontsize=10,color="white",style="solid",shape="box"];794 -> 1072[label="",style="solid", color="burlywood", weight=9]; 1072 -> 798[label="",style="solid", color="burlywood", weight=3]; 1073[label="xv310/Zero",fontsize=10,color="white",style="solid",shape="box"];794 -> 1073[label="",style="solid", color="burlywood", weight=9]; 1073 -> 799[label="",style="solid", color="burlywood", weight=3]; 795 -> 794[label="",style="dashed", color="red", weight=0]; 795[label="primMulNat xv310 xv400",fontsize=16,color="magenta"];795 -> 800[label="",style="dashed", color="magenta", weight=3]; 796 -> 794[label="",style="dashed", color="red", weight=0]; 796[label="primMulNat xv310 xv400",fontsize=16,color="magenta"];796 -> 801[label="",style="dashed", color="magenta", weight=3]; 797 -> 794[label="",style="dashed", color="red", weight=0]; 797[label="primMulNat xv310 xv400",fontsize=16,color="magenta"];797 -> 802[label="",style="dashed", color="magenta", weight=3]; 797 -> 803[label="",style="dashed", color="magenta", weight=3]; 798[label="primMulNat (Succ xv3100) xv400",fontsize=16,color="burlywood",shape="box"];1074[label="xv400/Succ xv4000",fontsize=10,color="white",style="solid",shape="box"];798 -> 1074[label="",style="solid", color="burlywood", weight=9]; 1074 -> 804[label="",style="solid", color="burlywood", weight=3]; 1075[label="xv400/Zero",fontsize=10,color="white",style="solid",shape="box"];798 -> 1075[label="",style="solid", color="burlywood", weight=9]; 1075 -> 805[label="",style="solid", color="burlywood", weight=3]; 799[label="primMulNat Zero xv400",fontsize=16,color="burlywood",shape="box"];1076[label="xv400/Succ xv4000",fontsize=10,color="white",style="solid",shape="box"];799 -> 1076[label="",style="solid", color="burlywood", weight=9]; 1076 -> 806[label="",style="solid", color="burlywood", weight=3]; 1077[label="xv400/Zero",fontsize=10,color="white",style="solid",shape="box"];799 -> 1077[label="",style="solid", color="burlywood", weight=9]; 1077 -> 807[label="",style="solid", color="burlywood", weight=3]; 800[label="xv400",fontsize=16,color="green",shape="box"];801[label="xv310",fontsize=16,color="green",shape="box"];802[label="xv400",fontsize=16,color="green",shape="box"];803[label="xv310",fontsize=16,color="green",shape="box"];804[label="primMulNat (Succ xv3100) (Succ xv4000)",fontsize=16,color="black",shape="box"];804 -> 808[label="",style="solid", color="black", weight=3]; 805[label="primMulNat (Succ xv3100) Zero",fontsize=16,color="black",shape="box"];805 -> 809[label="",style="solid", color="black", weight=3]; 806[label="primMulNat Zero (Succ xv4000)",fontsize=16,color="black",shape="box"];806 -> 810[label="",style="solid", color="black", weight=3]; 807[label="primMulNat Zero Zero",fontsize=16,color="black",shape="box"];807 -> 811[label="",style="solid", color="black", weight=3]; 808 -> 812[label="",style="dashed", color="red", weight=0]; 808[label="primPlusNat (primMulNat xv3100 (Succ xv4000)) (Succ xv4000)",fontsize=16,color="magenta"];808 -> 813[label="",style="dashed", color="magenta", weight=3]; 809[label="Zero",fontsize=16,color="green",shape="box"];810[label="Zero",fontsize=16,color="green",shape="box"];811[label="Zero",fontsize=16,color="green",shape="box"];813 -> 794[label="",style="dashed", color="red", weight=0]; 813[label="primMulNat xv3100 (Succ xv4000)",fontsize=16,color="magenta"];813 -> 814[label="",style="dashed", color="magenta", weight=3]; 813 -> 815[label="",style="dashed", color="magenta", weight=3]; 812[label="primPlusNat xv32 (Succ xv4000)",fontsize=16,color="burlywood",shape="triangle"];1078[label="xv32/Succ xv320",fontsize=10,color="white",style="solid",shape="box"];812 -> 1078[label="",style="solid", color="burlywood", weight=9]; 1078 -> 816[label="",style="solid", color="burlywood", weight=3]; 1079[label="xv32/Zero",fontsize=10,color="white",style="solid",shape="box"];812 -> 1079[label="",style="solid", color="burlywood", weight=9]; 1079 -> 817[label="",style="solid", color="burlywood", weight=3]; 814[label="Succ xv4000",fontsize=16,color="green",shape="box"];815[label="xv3100",fontsize=16,color="green",shape="box"];816[label="primPlusNat (Succ xv320) (Succ xv4000)",fontsize=16,color="black",shape="box"];816 -> 818[label="",style="solid", color="black", weight=3]; 817[label="primPlusNat Zero (Succ xv4000)",fontsize=16,color="black",shape="box"];817 -> 819[label="",style="solid", color="black", weight=3]; 818[label="Succ (Succ (primPlusNat xv320 xv4000))",fontsize=16,color="green",shape="box"];818 -> 820[label="",style="dashed", color="green", weight=3]; 819[label="Succ xv4000",fontsize=16,color="green",shape="box"];820[label="primPlusNat xv320 xv4000",fontsize=16,color="burlywood",shape="triangle"];1080[label="xv320/Succ xv3200",fontsize=10,color="white",style="solid",shape="box"];820 -> 1080[label="",style="solid", color="burlywood", weight=9]; 1080 -> 821[label="",style="solid", color="burlywood", weight=3]; 1081[label="xv320/Zero",fontsize=10,color="white",style="solid",shape="box"];820 -> 1081[label="",style="solid", color="burlywood", weight=9]; 1081 -> 822[label="",style="solid", color="burlywood", weight=3]; 821[label="primPlusNat (Succ xv3200) xv4000",fontsize=16,color="burlywood",shape="box"];1082[label="xv4000/Succ xv40000",fontsize=10,color="white",style="solid",shape="box"];821 -> 1082[label="",style="solid", color="burlywood", weight=9]; 1082 -> 823[label="",style="solid", color="burlywood", weight=3]; 1083[label="xv4000/Zero",fontsize=10,color="white",style="solid",shape="box"];821 -> 1083[label="",style="solid", color="burlywood", weight=9]; 1083 -> 824[label="",style="solid", color="burlywood", weight=3]; 822[label="primPlusNat Zero xv4000",fontsize=16,color="burlywood",shape="box"];1084[label="xv4000/Succ xv40000",fontsize=10,color="white",style="solid",shape="box"];822 -> 1084[label="",style="solid", color="burlywood", weight=9]; 1084 -> 825[label="",style="solid", color="burlywood", weight=3]; 1085[label="xv4000/Zero",fontsize=10,color="white",style="solid",shape="box"];822 -> 1085[label="",style="solid", color="burlywood", weight=9]; 1085 -> 826[label="",style="solid", color="burlywood", weight=3]; 823[label="primPlusNat (Succ xv3200) (Succ xv40000)",fontsize=16,color="black",shape="box"];823 -> 827[label="",style="solid", color="black", weight=3]; 824[label="primPlusNat (Succ xv3200) Zero",fontsize=16,color="black",shape="box"];824 -> 828[label="",style="solid", color="black", weight=3]; 825[label="primPlusNat Zero (Succ xv40000)",fontsize=16,color="black",shape="box"];825 -> 829[label="",style="solid", color="black", weight=3]; 826[label="primPlusNat Zero Zero",fontsize=16,color="black",shape="box"];826 -> 830[label="",style="solid", color="black", weight=3]; 827[label="Succ (Succ (primPlusNat xv3200 xv40000))",fontsize=16,color="green",shape="box"];827 -> 831[label="",style="dashed", color="green", weight=3]; 828[label="Succ xv3200",fontsize=16,color="green",shape="box"];829[label="Succ xv40000",fontsize=16,color="green",shape="box"];830[label="Zero",fontsize=16,color="green",shape="box"];831 -> 820[label="",style="dashed", color="red", weight=0]; 831[label="primPlusNat xv3200 xv40000",fontsize=16,color="magenta"];831 -> 832[label="",style="dashed", color="magenta", weight=3]; 831 -> 833[label="",style="dashed", color="magenta", weight=3]; 832[label="xv3200",fontsize=16,color="green",shape="box"];833[label="xv40000",fontsize=16,color="green",shape="box"];} ---------------------------------------- (6) Complex Obligation (AND) ---------------------------------------- (7) Obligation: Q DP problem: The TRS P consists of the following rules: new_esEs3(Just(xv30), Just(xv40), app(app(ty_Either, bdf), bdg)) -> new_esEs1(xv30, xv40, bdf, bdg) new_esEs1(Left(xv30), Left(xv40), app(app(ty_Either, gg), gh), gc) -> new_esEs1(xv30, xv40, gg, gh) new_esEs(:(xv30, xv31), :(xv40, xv41), app(app(ty_@2, bf), bg)) -> new_esEs2(xv30, xv40, bf, bg) new_esEs1(Right(xv30), Right(xv40), hd, app(ty_Maybe, bae)) -> new_esEs3(xv30, xv40, bae) new_esEs3(Just(xv30), Just(xv40), app(app(app(ty_@3, bdc), bdd), bde)) -> new_esEs0(xv30, xv40, bdc, bdd, bde) new_esEs0(@3(xv30, xv31, xv32), @3(xv40, xv41, xv42), df, app(app(app(ty_@3, dh), ea), eb), cd) -> new_esEs0(xv31, xv41, dh, ea, eb) new_esEs0(@3(xv30, xv31, xv32), @3(xv40, xv41, xv42), df, app(ty_Maybe, eg), cd) -> new_esEs3(xv31, xv41, eg) new_esEs2(@2(xv30, xv31), @2(xv40, xv41), bbh, app(ty_Maybe, bda)) -> new_esEs3(xv31, xv41, bda) new_esEs2(@2(xv30, xv31), @2(xv40, xv41), bbh, app(app(ty_@2, bcg), bch)) -> new_esEs2(xv31, xv41, bcg, bch) new_esEs2(@2(xv30, xv31), @2(xv40, xv41), bbh, app(ty_[], bca)) -> new_esEs(xv31, xv41, bca) new_esEs(:(xv30, xv31), :(xv40, xv41), ca) -> new_esEs(xv31, xv41, ca) new_esEs0(@3(xv30, xv31, xv32), @3(xv40, xv41, xv42), df, cc, app(ty_Maybe, ga)) -> new_esEs3(xv32, xv42, ga) new_esEs2(@2(xv30, xv31), @2(xv40, xv41), app(ty_Maybe, bbg), bag) -> new_esEs3(xv30, xv40, bbg) new_esEs3(Just(xv30), Just(xv40), app(ty_Maybe, beb)) -> new_esEs3(xv30, xv40, beb) new_esEs0(@3(xv30, xv31, xv32), @3(xv40, xv41, xv42), app(app(ty_Either, da), db), cc, cd) -> new_esEs1(xv30, xv40, da, db) new_esEs0(@3(xv30, xv31, xv32), @3(xv40, xv41, xv42), df, cc, app(app(ty_@2, fg), fh)) -> new_esEs2(xv32, xv42, fg, fh) new_esEs(:(xv30, xv31), :(xv40, xv41), app(ty_[], h)) -> new_esEs(xv30, xv40, h) new_esEs0(@3(xv30, xv31, xv32), @3(xv40, xv41, xv42), app(ty_Maybe, de), cc, cd) -> new_esEs3(xv30, xv40, de) new_esEs0(@3(xv30, xv31, xv32), @3(xv40, xv41, xv42), df, app(app(ty_@2, ee), ef), cd) -> new_esEs2(xv31, xv41, ee, ef) new_esEs1(Left(xv30), Left(xv40), app(ty_Maybe, hc), gc) -> new_esEs3(xv30, xv40, hc) new_esEs2(@2(xv30, xv31), @2(xv40, xv41), app(app(ty_@2, bbe), bbf), bag) -> new_esEs2(xv30, xv40, bbe, bbf) new_esEs1(Right(xv30), Right(xv40), hd, app(app(ty_@2, bac), bad)) -> new_esEs2(xv30, xv40, bac, bad) new_esEs(:(xv30, xv31), :(xv40, xv41), app(app(app(ty_@3, ba), bb), bc)) -> new_esEs0(xv30, xv40, ba, bb, bc) new_esEs0(@3(xv30, xv31, xv32), @3(xv40, xv41, xv42), df, cc, app(app(app(ty_@3, fa), fb), fc)) -> new_esEs0(xv32, xv42, fa, fb, fc) new_esEs1(Left(xv30), Left(xv40), app(ty_[], gb), gc) -> new_esEs(xv30, xv40, gb) new_esEs1(Left(xv30), Left(xv40), app(app(app(ty_@3, gd), ge), gf), gc) -> new_esEs0(xv30, xv40, gd, ge, gf) new_esEs3(Just(xv30), Just(xv40), app(app(ty_@2, bdh), bea)) -> new_esEs2(xv30, xv40, bdh, bea) new_esEs(:(xv30, xv31), :(xv40, xv41), app(app(ty_Either, bd), be)) -> new_esEs1(xv30, xv40, bd, be) new_esEs3(Just(xv30), Just(xv40), app(ty_[], bdb)) -> new_esEs(xv30, xv40, bdb) new_esEs0(@3(xv30, xv31, xv32), @3(xv40, xv41, xv42), app(ty_[], cb), cc, cd) -> new_esEs(xv30, xv40, cb) new_esEs0(@3(xv30, xv31, xv32), @3(xv40, xv41, xv42), df, app(ty_[], dg), cd) -> new_esEs(xv31, xv41, dg) new_esEs(:(xv30, xv31), :(xv40, xv41), app(ty_Maybe, bh)) -> new_esEs3(xv30, xv40, bh) new_esEs0(@3(xv30, xv31, xv32), @3(xv40, xv41, xv42), df, cc, app(ty_[], eh)) -> new_esEs(xv32, xv42, eh) new_esEs0(@3(xv30, xv31, xv32), @3(xv40, xv41, xv42), df, app(app(ty_Either, ec), ed), cd) -> new_esEs1(xv31, xv41, ec, ed) new_esEs1(Left(xv30), Left(xv40), app(app(ty_@2, ha), hb), gc) -> new_esEs2(xv30, xv40, ha, hb) new_esEs1(Right(xv30), Right(xv40), hd, app(app(app(ty_@3, hf), hg), hh)) -> new_esEs0(xv30, xv40, hf, hg, hh) new_esEs2(@2(xv30, xv31), @2(xv40, xv41), app(ty_[], baf), bag) -> new_esEs(xv30, xv40, baf) new_esEs0(@3(xv30, xv31, xv32), @3(xv40, xv41, xv42), app(app(ty_@2, dc), dd), cc, cd) -> new_esEs2(xv30, xv40, dc, dd) new_esEs2(@2(xv30, xv31), @2(xv40, xv41), app(app(app(ty_@3, bah), bba), bbb), bag) -> new_esEs0(xv30, xv40, bah, bba, bbb) new_esEs1(Right(xv30), Right(xv40), hd, app(ty_[], he)) -> new_esEs(xv30, xv40, he) new_esEs2(@2(xv30, xv31), @2(xv40, xv41), app(app(ty_Either, bbc), bbd), bag) -> new_esEs1(xv30, xv40, bbc, bbd) new_esEs1(Right(xv30), Right(xv40), hd, app(app(ty_Either, baa), bab)) -> new_esEs1(xv30, xv40, baa, bab) new_esEs2(@2(xv30, xv31), @2(xv40, xv41), bbh, app(app(ty_Either, bce), bcf)) -> new_esEs1(xv31, xv41, bce, bcf) new_esEs0(@3(xv30, xv31, xv32), @3(xv40, xv41, xv42), app(app(app(ty_@3, ce), cf), cg), cc, cd) -> new_esEs0(xv30, xv40, ce, cf, cg) new_esEs0(@3(xv30, xv31, xv32), @3(xv40, xv41, xv42), df, cc, app(app(ty_Either, fd), ff)) -> new_esEs1(xv32, xv42, fd, ff) new_esEs2(@2(xv30, xv31), @2(xv40, xv41), bbh, app(app(app(ty_@3, bcb), bcc), bcd)) -> new_esEs0(xv31, xv41, bcb, bcc, bcd) 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_esEs3(Just(xv30), Just(xv40), app(ty_Maybe, beb)) -> new_esEs3(xv30, xv40, beb) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs3(Just(xv30), Just(xv40), app(app(ty_Either, bdf), bdg)) -> new_esEs1(xv30, xv40, bdf, bdg) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs3(Just(xv30), Just(xv40), app(ty_[], bdb)) -> new_esEs(xv30, xv40, bdb) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs(:(xv30, xv31), :(xv40, xv41), app(ty_Maybe, bh)) -> new_esEs3(xv30, xv40, bh) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs(:(xv30, xv31), :(xv40, xv41), app(app(ty_Either, bd), be)) -> new_esEs1(xv30, xv40, bd, be) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs3(Just(xv30), Just(xv40), app(app(app(ty_@3, bdc), bdd), bde)) -> new_esEs0(xv30, xv40, bdc, bdd, bde) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 *new_esEs3(Just(xv30), Just(xv40), app(app(ty_@2, bdh), bea)) -> new_esEs2(xv30, xv40, bdh, bea) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs(:(xv30, xv31), :(xv40, xv41), app(app(app(ty_@3, ba), bb), bc)) -> new_esEs0(xv30, xv40, ba, bb, bc) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 *new_esEs(:(xv30, xv31), :(xv40, xv41), app(app(ty_@2, bf), bg)) -> new_esEs2(xv30, xv40, bf, bg) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs1(Right(xv30), Right(xv40), hd, app(ty_Maybe, bae)) -> new_esEs3(xv30, xv40, bae) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 *new_esEs1(Left(xv30), Left(xv40), app(ty_Maybe, hc), gc) -> new_esEs3(xv30, xv40, hc) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs1(Left(xv30), Left(xv40), app(app(ty_Either, gg), gh), gc) -> new_esEs1(xv30, xv40, gg, gh) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs1(Right(xv30), Right(xv40), hd, app(app(ty_Either, baa), bab)) -> new_esEs1(xv30, xv40, baa, bab) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 *new_esEs1(Left(xv30), Left(xv40), app(ty_[], gb), gc) -> new_esEs(xv30, xv40, gb) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs1(Right(xv30), Right(xv40), hd, app(ty_[], he)) -> new_esEs(xv30, xv40, he) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 *new_esEs1(Left(xv30), Left(xv40), app(app(app(ty_@3, gd), ge), gf), gc) -> new_esEs0(xv30, xv40, gd, ge, gf) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 *new_esEs1(Right(xv30), Right(xv40), hd, app(app(app(ty_@3, hf), hg), hh)) -> new_esEs0(xv30, xv40, hf, hg, hh) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4, 4 > 5 *new_esEs1(Right(xv30), Right(xv40), hd, app(app(ty_@2, bac), bad)) -> new_esEs2(xv30, xv40, bac, bad) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 *new_esEs1(Left(xv30), Left(xv40), app(app(ty_@2, ha), hb), gc) -> new_esEs2(xv30, xv40, ha, hb) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs2(@2(xv30, xv31), @2(xv40, xv41), bbh, app(ty_Maybe, bda)) -> new_esEs3(xv31, xv41, bda) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 *new_esEs2(@2(xv30, xv31), @2(xv40, xv41), app(ty_Maybe, bbg), bag) -> new_esEs3(xv30, xv40, bbg) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs0(@3(xv30, xv31, xv32), @3(xv40, xv41, xv42), df, app(ty_Maybe, eg), cd) -> new_esEs3(xv31, xv41, eg) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 *new_esEs0(@3(xv30, xv31, xv32), @3(xv40, xv41, xv42), df, cc, app(ty_Maybe, ga)) -> new_esEs3(xv32, xv42, ga) The graph contains the following edges 1 > 1, 2 > 2, 5 > 3 *new_esEs0(@3(xv30, xv31, xv32), @3(xv40, xv41, xv42), app(ty_Maybe, de), cc, cd) -> new_esEs3(xv30, xv40, de) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs2(@2(xv30, xv31), @2(xv40, xv41), app(app(ty_Either, bbc), bbd), bag) -> new_esEs1(xv30, xv40, bbc, bbd) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs2(@2(xv30, xv31), @2(xv40, xv41), bbh, app(app(ty_Either, bce), bcf)) -> new_esEs1(xv31, xv41, bce, bcf) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 *new_esEs0(@3(xv30, xv31, xv32), @3(xv40, xv41, xv42), app(app(ty_Either, da), db), cc, cd) -> new_esEs1(xv30, xv40, da, db) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs0(@3(xv30, xv31, xv32), @3(xv40, xv41, xv42), df, app(app(ty_Either, ec), ed), cd) -> new_esEs1(xv31, xv41, ec, ed) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 *new_esEs0(@3(xv30, xv31, xv32), @3(xv40, xv41, xv42), df, cc, app(app(ty_Either, fd), ff)) -> new_esEs1(xv32, xv42, fd, ff) The graph contains the following edges 1 > 1, 2 > 2, 5 > 3, 5 > 4 *new_esEs2(@2(xv30, xv31), @2(xv40, xv41), bbh, app(ty_[], bca)) -> new_esEs(xv31, xv41, bca) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 *new_esEs2(@2(xv30, xv31), @2(xv40, xv41), app(ty_[], baf), bag) -> new_esEs(xv30, xv40, baf) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs2(@2(xv30, xv31), @2(xv40, xv41), app(app(app(ty_@3, bah), bba), bbb), bag) -> new_esEs0(xv30, xv40, bah, bba, bbb) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 *new_esEs2(@2(xv30, xv31), @2(xv40, xv41), bbh, app(app(app(ty_@3, bcb), bcc), bcd)) -> new_esEs0(xv31, xv41, bcb, bcc, bcd) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4, 4 > 5 *new_esEs2(@2(xv30, xv31), @2(xv40, xv41), bbh, app(app(ty_@2, bcg), bch)) -> new_esEs2(xv31, xv41, bcg, bch) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 *new_esEs2(@2(xv30, xv31), @2(xv40, xv41), app(app(ty_@2, bbe), bbf), bag) -> new_esEs2(xv30, xv40, bbe, bbf) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs0(@3(xv30, xv31, xv32), @3(xv40, xv41, xv42), app(ty_[], cb), cc, cd) -> new_esEs(xv30, xv40, cb) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs0(@3(xv30, xv31, xv32), @3(xv40, xv41, xv42), df, app(ty_[], dg), cd) -> new_esEs(xv31, xv41, dg) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 *new_esEs0(@3(xv30, xv31, xv32), @3(xv40, xv41, xv42), df, cc, app(ty_[], eh)) -> new_esEs(xv32, xv42, eh) The graph contains the following edges 1 > 1, 2 > 2, 5 > 3 *new_esEs(:(xv30, xv31), :(xv40, xv41), ca) -> new_esEs(xv31, xv41, ca) The graph contains the following edges 1 > 1, 2 > 2, 3 >= 3 *new_esEs(:(xv30, xv31), :(xv40, xv41), app(ty_[], h)) -> new_esEs(xv30, xv40, h) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs0(@3(xv30, xv31, xv32), @3(xv40, xv41, xv42), df, app(app(app(ty_@3, dh), ea), eb), cd) -> new_esEs0(xv31, xv41, dh, ea, eb) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4, 4 > 5 *new_esEs0(@3(xv30, xv31, xv32), @3(xv40, xv41, xv42), df, cc, app(app(app(ty_@3, fa), fb), fc)) -> new_esEs0(xv32, xv42, fa, fb, fc) The graph contains the following edges 1 > 1, 2 > 2, 5 > 3, 5 > 4, 5 > 5 *new_esEs0(@3(xv30, xv31, xv32), @3(xv40, xv41, xv42), app(app(app(ty_@3, ce), cf), cg), cc, cd) -> new_esEs0(xv30, xv40, ce, cf, cg) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 *new_esEs0(@3(xv30, xv31, xv32), @3(xv40, xv41, xv42), df, cc, app(app(ty_@2, fg), fh)) -> new_esEs2(xv32, xv42, fg, fh) The graph contains the following edges 1 > 1, 2 > 2, 5 > 3, 5 > 4 *new_esEs0(@3(xv30, xv31, xv32), @3(xv40, xv41, xv42), df, app(app(ty_@2, ee), ef), cd) -> new_esEs2(xv31, xv41, ee, ef) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 *new_esEs0(@3(xv30, xv31, xv32), @3(xv40, xv41, xv42), app(app(ty_@2, dc), dd), cc, cd) -> new_esEs2(xv30, xv40, dc, dd) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 ---------------------------------------- (9) YES ---------------------------------------- (10) Obligation: Q DP problem: The TRS P consists of the following rules: new_primMulNat(Succ(xv3100), Succ(xv4000)) -> new_primMulNat(xv3100, Succ(xv4000)) R is empty. Q is empty. We have to consider all minimal (P,Q,R)-chains. ---------------------------------------- (11) QDPSizeChangeProof (EQUIVALENT) By using the subterm criterion [SUBTERM_CRITERION] together with the size-change analysis [AAECC05] we have proven that there are no infinite chains for this DP problem. From the DPs we obtained the following set of size-change graphs: *new_primMulNat(Succ(xv3100), Succ(xv4000)) -> new_primMulNat(xv3100, Succ(xv4000)) The graph contains the following edges 1 > 1, 2 >= 2 ---------------------------------------- (12) YES ---------------------------------------- (13) Obligation: Q DP problem: The TRS P consists of the following rules: new_primPlusNat(Succ(xv3200), Succ(xv40000)) -> new_primPlusNat(xv3200, 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_primPlusNat(Succ(xv3200), Succ(xv40000)) -> new_primPlusNat(xv3200, 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_primEqNat(Succ(xv300), Succ(xv400)) -> new_primEqNat(xv300, xv400) R is empty. Q is empty. We have to consider all minimal (P,Q,R)-chains. ---------------------------------------- (17) QDPSizeChangeProof (EQUIVALENT) By using the subterm criterion [SUBTERM_CRITERION] together with the size-change analysis [AAECC05] we have proven that there are no infinite chains for this DP problem. From the DPs we obtained the following set of size-change graphs: *new_primEqNat(Succ(xv300), Succ(xv400)) -> new_primEqNat(xv300, xv400) The graph contains the following edges 1 > 1, 2 > 2 ---------------------------------------- (18) YES