/export/starexec/sandbox2/solver/bin/starexec_run_standard /export/starexec/sandbox2/benchmark/theBenchmark.hs /export/starexec/sandbox2/output/output_files -------------------------------------------------------------------------------- YES proof of /export/starexec/sandbox2/benchmark/theBenchmark.hs # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty H-Termination with start terms of the given HASKELL could be proven: (0) HASKELL (1) BR [EQUIVALENT, 0 ms] (2) HASKELL (3) COR [EQUIVALENT, 0 ms] (4) HASKELL (5) Narrow [SOUND, 0 ms] (6) AND (7) QDP (8) QDPSizeChangeProof [EQUIVALENT, 19 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"];832[label="/= :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];4 -> 832[label="",style="solid", color="blue", weight=9]; 832 -> 5[label="",style="solid", color="blue", weight=3]; 833[label="/= :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];4 -> 833[label="",style="solid", color="blue", weight=9]; 833 -> 6[label="",style="solid", color="blue", weight=3]; 834[label="/= :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];4 -> 834[label="",style="solid", color="blue", weight=9]; 834 -> 7[label="",style="solid", color="blue", weight=3]; 835[label="/= :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];4 -> 835[label="",style="solid", color="blue", weight=9]; 835 -> 8[label="",style="solid", color="blue", weight=3]; 836[label="/= :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];4 -> 836[label="",style="solid", color="blue", weight=9]; 836 -> 9[label="",style="solid", color="blue", weight=3]; 837[label="/= :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];4 -> 837[label="",style="solid", color="blue", weight=9]; 837 -> 10[label="",style="solid", color="blue", weight=3]; 838[label="/= :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];4 -> 838[label="",style="solid", color="blue", weight=9]; 838 -> 11[label="",style="solid", color="blue", weight=3]; 839[label="/= :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];4 -> 839[label="",style="solid", color="blue", weight=9]; 839 -> 12[label="",style="solid", color="blue", weight=3]; 840[label="/= :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];4 -> 840[label="",style="solid", color="blue", weight=9]; 840 -> 13[label="",style="solid", color="blue", weight=3]; 841[label="/= :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];4 -> 841[label="",style="solid", color="blue", weight=9]; 841 -> 14[label="",style="solid", color="blue", weight=3]; 842[label="/= :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];4 -> 842[label="",style="solid", color="blue", weight=9]; 842 -> 15[label="",style="solid", color="blue", weight=3]; 843[label="/= :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];4 -> 843[label="",style="solid", color="blue", weight=9]; 843 -> 16[label="",style="solid", color="blue", weight=3]; 844[label="/= :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];4 -> 844[label="",style="solid", color="blue", weight=9]; 844 -> 17[label="",style="solid", color="blue", weight=3]; 845[label="/= :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];4 -> 845[label="",style="solid", color="blue", weight=9]; 845 -> 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 -> 125[label="",style="dashed", color="red", weight=0]; 19[label="not (xv3 == xv4)",fontsize=16,color="magenta"];19 -> 126[label="",style="dashed", color="magenta", weight=3]; 20 -> 125[label="",style="dashed", color="red", weight=0]; 20[label="not (xv3 == xv4)",fontsize=16,color="magenta"];20 -> 127[label="",style="dashed", color="magenta", weight=3]; 21 -> 125[label="",style="dashed", color="red", weight=0]; 21[label="not (xv3 == xv4)",fontsize=16,color="magenta"];21 -> 128[label="",style="dashed", color="magenta", weight=3]; 22 -> 125[label="",style="dashed", color="red", weight=0]; 22[label="not (xv3 == xv4)",fontsize=16,color="magenta"];22 -> 129[label="",style="dashed", color="magenta", weight=3]; 23 -> 125[label="",style="dashed", color="red", weight=0]; 23[label="not (xv3 == xv4)",fontsize=16,color="magenta"];23 -> 130[label="",style="dashed", color="magenta", weight=3]; 24 -> 125[label="",style="dashed", color="red", weight=0]; 24[label="not (xv3 == xv4)",fontsize=16,color="magenta"];24 -> 131[label="",style="dashed", color="magenta", weight=3]; 25 -> 125[label="",style="dashed", color="red", weight=0]; 25[label="not (xv3 == xv4)",fontsize=16,color="magenta"];25 -> 132[label="",style="dashed", color="magenta", weight=3]; 26 -> 125[label="",style="dashed", color="red", weight=0]; 26[label="not (xv3 == xv4)",fontsize=16,color="magenta"];26 -> 133[label="",style="dashed", color="magenta", weight=3]; 27 -> 125[label="",style="dashed", color="red", weight=0]; 27[label="not (xv3 == xv4)",fontsize=16,color="magenta"];27 -> 134[label="",style="dashed", color="magenta", weight=3]; 28 -> 125[label="",style="dashed", color="red", weight=0]; 28[label="not (xv3 == xv4)",fontsize=16,color="magenta"];28 -> 135[label="",style="dashed", color="magenta", weight=3]; 29 -> 125[label="",style="dashed", color="red", weight=0]; 29[label="not (xv3 == xv4)",fontsize=16,color="magenta"];29 -> 136[label="",style="dashed", color="magenta", weight=3]; 30 -> 125[label="",style="dashed", color="red", weight=0]; 30[label="not (xv3 == xv4)",fontsize=16,color="magenta"];30 -> 137[label="",style="dashed", color="magenta", weight=3]; 31 -> 125[label="",style="dashed", color="red", weight=0]; 31[label="not (xv3 == xv4)",fontsize=16,color="magenta"];31 -> 138[label="",style="dashed", color="magenta", weight=3]; 32 -> 125[label="",style="dashed", color="red", weight=0]; 32[label="not (xv3 == xv4)",fontsize=16,color="magenta"];32 -> 139[label="",style="dashed", color="magenta", weight=3]; 126[label="xv3 == xv4",fontsize=16,color="burlywood",shape="triangle"];846[label="xv3/Left xv30",fontsize=10,color="white",style="solid",shape="box"];126 -> 846[label="",style="solid", color="burlywood", weight=9]; 846 -> 174[label="",style="solid", color="burlywood", weight=3]; 847[label="xv3/Right xv30",fontsize=10,color="white",style="solid",shape="box"];126 -> 847[label="",style="solid", color="burlywood", weight=9]; 847 -> 175[label="",style="solid", color="burlywood", weight=3]; 125[label="not xv7",fontsize=16,color="burlywood",shape="triangle"];848[label="xv7/False",fontsize=10,color="white",style="solid",shape="box"];125 -> 848[label="",style="solid", color="burlywood", weight=9]; 848 -> 176[label="",style="solid", color="burlywood", weight=3]; 849[label="xv7/True",fontsize=10,color="white",style="solid",shape="box"];125 -> 849[label="",style="solid", color="burlywood", weight=9]; 849 -> 177[label="",style="solid", color="burlywood", weight=3]; 127[label="xv3 == xv4",fontsize=16,color="burlywood",shape="triangle"];850[label="xv3/(xv30,xv31)",fontsize=10,color="white",style="solid",shape="box"];127 -> 850[label="",style="solid", color="burlywood", weight=9]; 850 -> 178[label="",style="solid", color="burlywood", weight=3]; 128[label="xv3 == xv4",fontsize=16,color="burlywood",shape="triangle"];851[label="xv3/LT",fontsize=10,color="white",style="solid",shape="box"];128 -> 851[label="",style="solid", color="burlywood", weight=9]; 851 -> 179[label="",style="solid", color="burlywood", weight=3]; 852[label="xv3/EQ",fontsize=10,color="white",style="solid",shape="box"];128 -> 852[label="",style="solid", color="burlywood", weight=9]; 852 -> 180[label="",style="solid", color="burlywood", weight=3]; 853[label="xv3/GT",fontsize=10,color="white",style="solid",shape="box"];128 -> 853[label="",style="solid", color="burlywood", weight=9]; 853 -> 181[label="",style="solid", color="burlywood", weight=3]; 129[label="xv3 == xv4",fontsize=16,color="burlywood",shape="triangle"];854[label="xv3/xv30 :% xv31",fontsize=10,color="white",style="solid",shape="box"];129 -> 854[label="",style="solid", color="burlywood", weight=9]; 854 -> 182[label="",style="solid", color="burlywood", weight=3]; 130[label="xv3 == xv4",fontsize=16,color="burlywood",shape="triangle"];855[label="xv3/False",fontsize=10,color="white",style="solid",shape="box"];130 -> 855[label="",style="solid", color="burlywood", weight=9]; 855 -> 183[label="",style="solid", color="burlywood", weight=3]; 856[label="xv3/True",fontsize=10,color="white",style="solid",shape="box"];130 -> 856[label="",style="solid", color="burlywood", weight=9]; 856 -> 184[label="",style="solid", color="burlywood", weight=3]; 131[label="xv3 == xv4",fontsize=16,color="burlywood",shape="triangle"];857[label="xv3/Nothing",fontsize=10,color="white",style="solid",shape="box"];131 -> 857[label="",style="solid", color="burlywood", weight=9]; 857 -> 185[label="",style="solid", color="burlywood", weight=3]; 858[label="xv3/Just xv30",fontsize=10,color="white",style="solid",shape="box"];131 -> 858[label="",style="solid", color="burlywood", weight=9]; 858 -> 186[label="",style="solid", color="burlywood", weight=3]; 132[label="xv3 == xv4",fontsize=16,color="burlywood",shape="triangle"];859[label="xv3/Integer xv30",fontsize=10,color="white",style="solid",shape="box"];132 -> 859[label="",style="solid", color="burlywood", weight=9]; 859 -> 187[label="",style="solid", color="burlywood", weight=3]; 133[label="xv3 == xv4",fontsize=16,color="burlywood",shape="triangle"];860[label="xv3/(xv30,xv31,xv32)",fontsize=10,color="white",style="solid",shape="box"];133 -> 860[label="",style="solid", color="burlywood", weight=9]; 860 -> 188[label="",style="solid", color="burlywood", weight=3]; 134[label="xv3 == xv4",fontsize=16,color="black",shape="triangle"];134 -> 189[label="",style="solid", color="black", weight=3]; 135[label="xv3 == xv4",fontsize=16,color="black",shape="triangle"];135 -> 190[label="",style="solid", color="black", weight=3]; 136[label="xv3 == xv4",fontsize=16,color="burlywood",shape="triangle"];861[label="xv3/()",fontsize=10,color="white",style="solid",shape="box"];136 -> 861[label="",style="solid", color="burlywood", weight=9]; 861 -> 191[label="",style="solid", color="burlywood", weight=3]; 137[label="xv3 == xv4",fontsize=16,color="burlywood",shape="triangle"];862[label="xv3/xv30 : xv31",fontsize=10,color="white",style="solid",shape="box"];137 -> 862[label="",style="solid", color="burlywood", weight=9]; 862 -> 192[label="",style="solid", color="burlywood", weight=3]; 863[label="xv3/[]",fontsize=10,color="white",style="solid",shape="box"];137 -> 863[label="",style="solid", color="burlywood", weight=9]; 863 -> 193[label="",style="solid", color="burlywood", weight=3]; 138[label="xv3 == xv4",fontsize=16,color="black",shape="triangle"];138 -> 194[label="",style="solid", color="black", weight=3]; 139[label="xv3 == xv4",fontsize=16,color="black",shape="triangle"];139 -> 195[label="",style="solid", color="black", weight=3]; 174[label="Left xv30 == xv4",fontsize=16,color="burlywood",shape="box"];864[label="xv4/Left xv40",fontsize=10,color="white",style="solid",shape="box"];174 -> 864[label="",style="solid", color="burlywood", weight=9]; 864 -> 196[label="",style="solid", color="burlywood", weight=3]; 865[label="xv4/Right xv40",fontsize=10,color="white",style="solid",shape="box"];174 -> 865[label="",style="solid", color="burlywood", weight=9]; 865 -> 197[label="",style="solid", color="burlywood", weight=3]; 175[label="Right xv30 == xv4",fontsize=16,color="burlywood",shape="box"];866[label="xv4/Left xv40",fontsize=10,color="white",style="solid",shape="box"];175 -> 866[label="",style="solid", color="burlywood", weight=9]; 866 -> 198[label="",style="solid", color="burlywood", weight=3]; 867[label="xv4/Right xv40",fontsize=10,color="white",style="solid",shape="box"];175 -> 867[label="",style="solid", color="burlywood", weight=9]; 867 -> 199[label="",style="solid", color="burlywood", weight=3]; 176[label="not False",fontsize=16,color="black",shape="box"];176 -> 200[label="",style="solid", color="black", weight=3]; 177[label="not True",fontsize=16,color="black",shape="box"];177 -> 201[label="",style="solid", color="black", weight=3]; 178[label="(xv30,xv31) == xv4",fontsize=16,color="burlywood",shape="box"];868[label="xv4/(xv40,xv41)",fontsize=10,color="white",style="solid",shape="box"];178 -> 868[label="",style="solid", color="burlywood", weight=9]; 868 -> 202[label="",style="solid", color="burlywood", weight=3]; 179[label="LT == xv4",fontsize=16,color="burlywood",shape="box"];869[label="xv4/LT",fontsize=10,color="white",style="solid",shape="box"];179 -> 869[label="",style="solid", color="burlywood", weight=9]; 869 -> 203[label="",style="solid", color="burlywood", weight=3]; 870[label="xv4/EQ",fontsize=10,color="white",style="solid",shape="box"];179 -> 870[label="",style="solid", color="burlywood", weight=9]; 870 -> 204[label="",style="solid", color="burlywood", weight=3]; 871[label="xv4/GT",fontsize=10,color="white",style="solid",shape="box"];179 -> 871[label="",style="solid", color="burlywood", weight=9]; 871 -> 205[label="",style="solid", color="burlywood", weight=3]; 180[label="EQ == xv4",fontsize=16,color="burlywood",shape="box"];872[label="xv4/LT",fontsize=10,color="white",style="solid",shape="box"];180 -> 872[label="",style="solid", color="burlywood", weight=9]; 872 -> 206[label="",style="solid", color="burlywood", weight=3]; 873[label="xv4/EQ",fontsize=10,color="white",style="solid",shape="box"];180 -> 873[label="",style="solid", color="burlywood", weight=9]; 873 -> 207[label="",style="solid", color="burlywood", weight=3]; 874[label="xv4/GT",fontsize=10,color="white",style="solid",shape="box"];180 -> 874[label="",style="solid", color="burlywood", weight=9]; 874 -> 208[label="",style="solid", color="burlywood", weight=3]; 181[label="GT == xv4",fontsize=16,color="burlywood",shape="box"];875[label="xv4/LT",fontsize=10,color="white",style="solid",shape="box"];181 -> 875[label="",style="solid", color="burlywood", weight=9]; 875 -> 209[label="",style="solid", color="burlywood", weight=3]; 876[label="xv4/EQ",fontsize=10,color="white",style="solid",shape="box"];181 -> 876[label="",style="solid", color="burlywood", weight=9]; 876 -> 210[label="",style="solid", color="burlywood", weight=3]; 877[label="xv4/GT",fontsize=10,color="white",style="solid",shape="box"];181 -> 877[label="",style="solid", color="burlywood", weight=9]; 877 -> 211[label="",style="solid", color="burlywood", weight=3]; 182[label="xv30 :% xv31 == xv4",fontsize=16,color="burlywood",shape="box"];878[label="xv4/xv40 :% xv41",fontsize=10,color="white",style="solid",shape="box"];182 -> 878[label="",style="solid", color="burlywood", weight=9]; 878 -> 212[label="",style="solid", color="burlywood", weight=3]; 183[label="False == xv4",fontsize=16,color="burlywood",shape="box"];879[label="xv4/False",fontsize=10,color="white",style="solid",shape="box"];183 -> 879[label="",style="solid", color="burlywood", weight=9]; 879 -> 213[label="",style="solid", color="burlywood", weight=3]; 880[label="xv4/True",fontsize=10,color="white",style="solid",shape="box"];183 -> 880[label="",style="solid", color="burlywood", weight=9]; 880 -> 214[label="",style="solid", color="burlywood", weight=3]; 184[label="True == xv4",fontsize=16,color="burlywood",shape="box"];881[label="xv4/False",fontsize=10,color="white",style="solid",shape="box"];184 -> 881[label="",style="solid", color="burlywood", weight=9]; 881 -> 215[label="",style="solid", color="burlywood", weight=3]; 882[label="xv4/True",fontsize=10,color="white",style="solid",shape="box"];184 -> 882[label="",style="solid", color="burlywood", weight=9]; 882 -> 216[label="",style="solid", color="burlywood", weight=3]; 185[label="Nothing == xv4",fontsize=16,color="burlywood",shape="box"];883[label="xv4/Nothing",fontsize=10,color="white",style="solid",shape="box"];185 -> 883[label="",style="solid", color="burlywood", weight=9]; 883 -> 217[label="",style="solid", color="burlywood", weight=3]; 884[label="xv4/Just xv40",fontsize=10,color="white",style="solid",shape="box"];185 -> 884[label="",style="solid", color="burlywood", weight=9]; 884 -> 218[label="",style="solid", color="burlywood", weight=3]; 186[label="Just xv30 == xv4",fontsize=16,color="burlywood",shape="box"];885[label="xv4/Nothing",fontsize=10,color="white",style="solid",shape="box"];186 -> 885[label="",style="solid", color="burlywood", weight=9]; 885 -> 219[label="",style="solid", color="burlywood", weight=3]; 886[label="xv4/Just xv40",fontsize=10,color="white",style="solid",shape="box"];186 -> 886[label="",style="solid", color="burlywood", weight=9]; 886 -> 220[label="",style="solid", color="burlywood", weight=3]; 187[label="Integer xv30 == xv4",fontsize=16,color="burlywood",shape="box"];887[label="xv4/Integer xv40",fontsize=10,color="white",style="solid",shape="box"];187 -> 887[label="",style="solid", color="burlywood", weight=9]; 887 -> 221[label="",style="solid", color="burlywood", weight=3]; 188[label="(xv30,xv31,xv32) == xv4",fontsize=16,color="burlywood",shape="box"];888[label="xv4/(xv40,xv41,xv42)",fontsize=10,color="white",style="solid",shape="box"];188 -> 888[label="",style="solid", color="burlywood", weight=9]; 888 -> 222[label="",style="solid", color="burlywood", weight=3]; 189[label="primEqInt xv3 xv4",fontsize=16,color="burlywood",shape="triangle"];889[label="xv3/Pos xv30",fontsize=10,color="white",style="solid",shape="box"];189 -> 889[label="",style="solid", color="burlywood", weight=9]; 889 -> 223[label="",style="solid", color="burlywood", weight=3]; 890[label="xv3/Neg xv30",fontsize=10,color="white",style="solid",shape="box"];189 -> 890[label="",style="solid", color="burlywood", weight=9]; 890 -> 224[label="",style="solid", color="burlywood", weight=3]; 190[label="primEqFloat xv3 xv4",fontsize=16,color="burlywood",shape="box"];891[label="xv3/Float xv30 xv31",fontsize=10,color="white",style="solid",shape="box"];190 -> 891[label="",style="solid", color="burlywood", weight=9]; 891 -> 225[label="",style="solid", color="burlywood", weight=3]; 191[label="() == xv4",fontsize=16,color="burlywood",shape="box"];892[label="xv4/()",fontsize=10,color="white",style="solid",shape="box"];191 -> 892[label="",style="solid", color="burlywood", weight=9]; 892 -> 226[label="",style="solid", color="burlywood", weight=3]; 192[label="xv30 : xv31 == xv4",fontsize=16,color="burlywood",shape="box"];893[label="xv4/xv40 : xv41",fontsize=10,color="white",style="solid",shape="box"];192 -> 893[label="",style="solid", color="burlywood", weight=9]; 893 -> 227[label="",style="solid", color="burlywood", weight=3]; 894[label="xv4/[]",fontsize=10,color="white",style="solid",shape="box"];192 -> 894[label="",style="solid", color="burlywood", weight=9]; 894 -> 228[label="",style="solid", color="burlywood", weight=3]; 193[label="[] == xv4",fontsize=16,color="burlywood",shape="box"];895[label="xv4/xv40 : xv41",fontsize=10,color="white",style="solid",shape="box"];193 -> 895[label="",style="solid", color="burlywood", weight=9]; 895 -> 229[label="",style="solid", color="burlywood", weight=3]; 896[label="xv4/[]",fontsize=10,color="white",style="solid",shape="box"];193 -> 896[label="",style="solid", color="burlywood", weight=9]; 896 -> 230[label="",style="solid", color="burlywood", weight=3]; 194[label="primEqDouble xv3 xv4",fontsize=16,color="burlywood",shape="box"];897[label="xv3/Double xv30 xv31",fontsize=10,color="white",style="solid",shape="box"];194 -> 897[label="",style="solid", color="burlywood", weight=9]; 897 -> 231[label="",style="solid", color="burlywood", weight=3]; 195[label="primEqChar xv3 xv4",fontsize=16,color="burlywood",shape="box"];898[label="xv3/Char xv30",fontsize=10,color="white",style="solid",shape="box"];195 -> 898[label="",style="solid", color="burlywood", weight=9]; 898 -> 232[label="",style="solid", color="burlywood", weight=3]; 196[label="Left xv30 == Left xv40",fontsize=16,color="black",shape="box"];196 -> 233[label="",style="solid", color="black", weight=3]; 197[label="Left xv30 == Right xv40",fontsize=16,color="black",shape="box"];197 -> 234[label="",style="solid", color="black", weight=3]; 198[label="Right xv30 == Left xv40",fontsize=16,color="black",shape="box"];198 -> 235[label="",style="solid", color="black", weight=3]; 199[label="Right xv30 == Right xv40",fontsize=16,color="black",shape="box"];199 -> 236[label="",style="solid", color="black", weight=3]; 200[label="True",fontsize=16,color="green",shape="box"];201[label="False",fontsize=16,color="green",shape="box"];202[label="(xv30,xv31) == (xv40,xv41)",fontsize=16,color="black",shape="box"];202 -> 237[label="",style="solid", color="black", weight=3]; 203[label="LT == LT",fontsize=16,color="black",shape="box"];203 -> 238[label="",style="solid", color="black", weight=3]; 204[label="LT == EQ",fontsize=16,color="black",shape="box"];204 -> 239[label="",style="solid", color="black", weight=3]; 205[label="LT == GT",fontsize=16,color="black",shape="box"];205 -> 240[label="",style="solid", color="black", weight=3]; 206[label="EQ == LT",fontsize=16,color="black",shape="box"];206 -> 241[label="",style="solid", color="black", weight=3]; 207[label="EQ == EQ",fontsize=16,color="black",shape="box"];207 -> 242[label="",style="solid", color="black", weight=3]; 208[label="EQ == GT",fontsize=16,color="black",shape="box"];208 -> 243[label="",style="solid", color="black", weight=3]; 209[label="GT == LT",fontsize=16,color="black",shape="box"];209 -> 244[label="",style="solid", color="black", weight=3]; 210[label="GT == EQ",fontsize=16,color="black",shape="box"];210 -> 245[label="",style="solid", color="black", weight=3]; 211[label="GT == GT",fontsize=16,color="black",shape="box"];211 -> 246[label="",style="solid", color="black", weight=3]; 212[label="xv30 :% xv31 == xv40 :% xv41",fontsize=16,color="black",shape="box"];212 -> 247[label="",style="solid", color="black", weight=3]; 213[label="False == False",fontsize=16,color="black",shape="box"];213 -> 248[label="",style="solid", color="black", weight=3]; 214[label="False == True",fontsize=16,color="black",shape="box"];214 -> 249[label="",style="solid", color="black", weight=3]; 215[label="True == False",fontsize=16,color="black",shape="box"];215 -> 250[label="",style="solid", color="black", weight=3]; 216[label="True == True",fontsize=16,color="black",shape="box"];216 -> 251[label="",style="solid", color="black", weight=3]; 217[label="Nothing == Nothing",fontsize=16,color="black",shape="box"];217 -> 252[label="",style="solid", color="black", weight=3]; 218[label="Nothing == Just xv40",fontsize=16,color="black",shape="box"];218 -> 253[label="",style="solid", color="black", weight=3]; 219[label="Just xv30 == Nothing",fontsize=16,color="black",shape="box"];219 -> 254[label="",style="solid", color="black", weight=3]; 220[label="Just xv30 == Just xv40",fontsize=16,color="black",shape="box"];220 -> 255[label="",style="solid", color="black", weight=3]; 221[label="Integer xv30 == Integer xv40",fontsize=16,color="black",shape="box"];221 -> 256[label="",style="solid", color="black", weight=3]; 222[label="(xv30,xv31,xv32) == (xv40,xv41,xv42)",fontsize=16,color="black",shape="box"];222 -> 257[label="",style="solid", color="black", weight=3]; 223[label="primEqInt (Pos xv30) xv4",fontsize=16,color="burlywood",shape="box"];899[label="xv30/Succ xv300",fontsize=10,color="white",style="solid",shape="box"];223 -> 899[label="",style="solid", color="burlywood", weight=9]; 899 -> 258[label="",style="solid", color="burlywood", weight=3]; 900[label="xv30/Zero",fontsize=10,color="white",style="solid",shape="box"];223 -> 900[label="",style="solid", color="burlywood", weight=9]; 900 -> 259[label="",style="solid", color="burlywood", weight=3]; 224[label="primEqInt (Neg xv30) xv4",fontsize=16,color="burlywood",shape="box"];901[label="xv30/Succ xv300",fontsize=10,color="white",style="solid",shape="box"];224 -> 901[label="",style="solid", color="burlywood", weight=9]; 901 -> 260[label="",style="solid", color="burlywood", weight=3]; 902[label="xv30/Zero",fontsize=10,color="white",style="solid",shape="box"];224 -> 902[label="",style="solid", color="burlywood", weight=9]; 902 -> 261[label="",style="solid", color="burlywood", weight=3]; 225[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"];225 -> 903[label="",style="solid", color="burlywood", weight=9]; 903 -> 262[label="",style="solid", color="burlywood", weight=3]; 226[label="() == ()",fontsize=16,color="black",shape="box"];226 -> 263[label="",style="solid", color="black", weight=3]; 227[label="xv30 : xv31 == xv40 : xv41",fontsize=16,color="black",shape="box"];227 -> 264[label="",style="solid", color="black", weight=3]; 228[label="xv30 : xv31 == []",fontsize=16,color="black",shape="box"];228 -> 265[label="",style="solid", color="black", weight=3]; 229[label="[] == xv40 : xv41",fontsize=16,color="black",shape="box"];229 -> 266[label="",style="solid", color="black", weight=3]; 230[label="[] == []",fontsize=16,color="black",shape="box"];230 -> 267[label="",style="solid", color="black", weight=3]; 231[label="primEqDouble (Double xv30 xv31) xv4",fontsize=16,color="burlywood",shape="box"];904[label="xv4/Double xv40 xv41",fontsize=10,color="white",style="solid",shape="box"];231 -> 904[label="",style="solid", color="burlywood", weight=9]; 904 -> 268[label="",style="solid", color="burlywood", weight=3]; 232[label="primEqChar (Char xv30) xv4",fontsize=16,color="burlywood",shape="box"];905[label="xv4/Char xv40",fontsize=10,color="white",style="solid",shape="box"];232 -> 905[label="",style="solid", color="burlywood", weight=9]; 905 -> 269[label="",style="solid", color="burlywood", weight=3]; 233[label="xv30 == xv40",fontsize=16,color="blue",shape="box"];906[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];233 -> 906[label="",style="solid", color="blue", weight=9]; 906 -> 270[label="",style="solid", color="blue", weight=3]; 907[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];233 -> 907[label="",style="solid", color="blue", weight=9]; 907 -> 271[label="",style="solid", color="blue", weight=3]; 908[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];233 -> 908[label="",style="solid", color="blue", weight=9]; 908 -> 272[label="",style="solid", color="blue", weight=3]; 909[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];233 -> 909[label="",style="solid", color="blue", weight=9]; 909 -> 273[label="",style="solid", color="blue", weight=3]; 910[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];233 -> 910[label="",style="solid", color="blue", weight=9]; 910 -> 274[label="",style="solid", color="blue", weight=3]; 911[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];233 -> 911[label="",style="solid", color="blue", weight=9]; 911 -> 275[label="",style="solid", color="blue", weight=3]; 912[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];233 -> 912[label="",style="solid", color="blue", weight=9]; 912 -> 276[label="",style="solid", color="blue", weight=3]; 913[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];233 -> 913[label="",style="solid", color="blue", weight=9]; 913 -> 277[label="",style="solid", color="blue", weight=3]; 914[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];233 -> 914[label="",style="solid", color="blue", weight=9]; 914 -> 278[label="",style="solid", color="blue", weight=3]; 915[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];233 -> 915[label="",style="solid", color="blue", weight=9]; 915 -> 279[label="",style="solid", color="blue", weight=3]; 916[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];233 -> 916[label="",style="solid", color="blue", weight=9]; 916 -> 280[label="",style="solid", color="blue", weight=3]; 917[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];233 -> 917[label="",style="solid", color="blue", weight=9]; 917 -> 281[label="",style="solid", color="blue", weight=3]; 918[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];233 -> 918[label="",style="solid", color="blue", weight=9]; 918 -> 282[label="",style="solid", color="blue", weight=3]; 919[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];233 -> 919[label="",style="solid", color="blue", weight=9]; 919 -> 283[label="",style="solid", color="blue", weight=3]; 234[label="False",fontsize=16,color="green",shape="box"];235[label="False",fontsize=16,color="green",shape="box"];236[label="xv30 == xv40",fontsize=16,color="blue",shape="box"];920[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];236 -> 920[label="",style="solid", color="blue", weight=9]; 920 -> 284[label="",style="solid", color="blue", weight=3]; 921[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];236 -> 921[label="",style="solid", color="blue", weight=9]; 921 -> 285[label="",style="solid", color="blue", weight=3]; 922[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];236 -> 922[label="",style="solid", color="blue", weight=9]; 922 -> 286[label="",style="solid", color="blue", weight=3]; 923[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];236 -> 923[label="",style="solid", color="blue", weight=9]; 923 -> 287[label="",style="solid", color="blue", weight=3]; 924[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];236 -> 924[label="",style="solid", color="blue", weight=9]; 924 -> 288[label="",style="solid", color="blue", weight=3]; 925[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];236 -> 925[label="",style="solid", color="blue", weight=9]; 925 -> 289[label="",style="solid", color="blue", weight=3]; 926[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];236 -> 926[label="",style="solid", color="blue", weight=9]; 926 -> 290[label="",style="solid", color="blue", weight=3]; 927[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];236 -> 927[label="",style="solid", color="blue", weight=9]; 927 -> 291[label="",style="solid", color="blue", weight=3]; 928[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];236 -> 928[label="",style="solid", color="blue", weight=9]; 928 -> 292[label="",style="solid", color="blue", weight=3]; 929[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];236 -> 929[label="",style="solid", color="blue", weight=9]; 929 -> 293[label="",style="solid", color="blue", weight=3]; 930[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];236 -> 930[label="",style="solid", color="blue", weight=9]; 930 -> 294[label="",style="solid", color="blue", weight=3]; 931[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];236 -> 931[label="",style="solid", color="blue", weight=9]; 931 -> 295[label="",style="solid", color="blue", weight=3]; 932[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];236 -> 932[label="",style="solid", color="blue", weight=9]; 932 -> 296[label="",style="solid", color="blue", weight=3]; 933[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];236 -> 933[label="",style="solid", color="blue", weight=9]; 933 -> 297[label="",style="solid", color="blue", weight=3]; 237 -> 416[label="",style="dashed", color="red", weight=0]; 237[label="xv30 == xv40 && xv31 == xv41",fontsize=16,color="magenta"];237 -> 417[label="",style="dashed", color="magenta", weight=3]; 237 -> 418[label="",style="dashed", color="magenta", weight=3]; 238[label="True",fontsize=16,color="green",shape="box"];239[label="False",fontsize=16,color="green",shape="box"];240[label="False",fontsize=16,color="green",shape="box"];241[label="False",fontsize=16,color="green",shape="box"];242[label="True",fontsize=16,color="green",shape="box"];243[label="False",fontsize=16,color="green",shape="box"];244[label="False",fontsize=16,color="green",shape="box"];245[label="False",fontsize=16,color="green",shape="box"];246[label="True",fontsize=16,color="green",shape="box"];247 -> 416[label="",style="dashed", color="red", weight=0]; 247[label="xv30 == xv40 && xv31 == xv41",fontsize=16,color="magenta"];247 -> 419[label="",style="dashed", color="magenta", weight=3]; 247 -> 420[label="",style="dashed", color="magenta", weight=3]; 248[label="True",fontsize=16,color="green",shape="box"];249[label="False",fontsize=16,color="green",shape="box"];250[label="False",fontsize=16,color="green",shape="box"];251[label="True",fontsize=16,color="green",shape="box"];252[label="True",fontsize=16,color="green",shape="box"];253[label="False",fontsize=16,color="green",shape="box"];254[label="False",fontsize=16,color="green",shape="box"];255[label="xv30 == xv40",fontsize=16,color="blue",shape="box"];934[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];255 -> 934[label="",style="solid", color="blue", weight=9]; 934 -> 308[label="",style="solid", color="blue", weight=3]; 935[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];255 -> 935[label="",style="solid", color="blue", weight=9]; 935 -> 309[label="",style="solid", color="blue", weight=3]; 936[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];255 -> 936[label="",style="solid", color="blue", weight=9]; 936 -> 310[label="",style="solid", color="blue", weight=3]; 937[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];255 -> 937[label="",style="solid", color="blue", weight=9]; 937 -> 311[label="",style="solid", color="blue", weight=3]; 938[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];255 -> 938[label="",style="solid", color="blue", weight=9]; 938 -> 312[label="",style="solid", color="blue", weight=3]; 939[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];255 -> 939[label="",style="solid", color="blue", weight=9]; 939 -> 313[label="",style="solid", color="blue", weight=3]; 940[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];255 -> 940[label="",style="solid", color="blue", weight=9]; 940 -> 314[label="",style="solid", color="blue", weight=3]; 941[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];255 -> 941[label="",style="solid", color="blue", weight=9]; 941 -> 315[label="",style="solid", color="blue", weight=3]; 942[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];255 -> 942[label="",style="solid", color="blue", weight=9]; 942 -> 316[label="",style="solid", color="blue", weight=3]; 943[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];255 -> 943[label="",style="solid", color="blue", weight=9]; 943 -> 317[label="",style="solid", color="blue", weight=3]; 944[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];255 -> 944[label="",style="solid", color="blue", weight=9]; 944 -> 318[label="",style="solid", color="blue", weight=3]; 945[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];255 -> 945[label="",style="solid", color="blue", weight=9]; 945 -> 319[label="",style="solid", color="blue", weight=3]; 946[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];255 -> 946[label="",style="solid", color="blue", weight=9]; 946 -> 320[label="",style="solid", color="blue", weight=3]; 947[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];255 -> 947[label="",style="solid", color="blue", weight=9]; 947 -> 321[label="",style="solid", color="blue", weight=3]; 256 -> 189[label="",style="dashed", color="red", weight=0]; 256[label="primEqInt xv30 xv40",fontsize=16,color="magenta"];256 -> 322[label="",style="dashed", color="magenta", weight=3]; 256 -> 323[label="",style="dashed", color="magenta", weight=3]; 257 -> 416[label="",style="dashed", color="red", weight=0]; 257[label="xv30 == xv40 && xv31 == xv41 && xv32 == xv42",fontsize=16,color="magenta"];257 -> 421[label="",style="dashed", color="magenta", weight=3]; 257 -> 422[label="",style="dashed", color="magenta", weight=3]; 258[label="primEqInt (Pos (Succ xv300)) xv4",fontsize=16,color="burlywood",shape="box"];948[label="xv4/Pos xv40",fontsize=10,color="white",style="solid",shape="box"];258 -> 948[label="",style="solid", color="burlywood", weight=9]; 948 -> 335[label="",style="solid", color="burlywood", weight=3]; 949[label="xv4/Neg xv40",fontsize=10,color="white",style="solid",shape="box"];258 -> 949[label="",style="solid", color="burlywood", weight=9]; 949 -> 336[label="",style="solid", color="burlywood", weight=3]; 259[label="primEqInt (Pos Zero) xv4",fontsize=16,color="burlywood",shape="box"];950[label="xv4/Pos xv40",fontsize=10,color="white",style="solid",shape="box"];259 -> 950[label="",style="solid", color="burlywood", weight=9]; 950 -> 337[label="",style="solid", color="burlywood", weight=3]; 951[label="xv4/Neg xv40",fontsize=10,color="white",style="solid",shape="box"];259 -> 951[label="",style="solid", color="burlywood", weight=9]; 951 -> 338[label="",style="solid", color="burlywood", weight=3]; 260[label="primEqInt (Neg (Succ xv300)) xv4",fontsize=16,color="burlywood",shape="box"];952[label="xv4/Pos xv40",fontsize=10,color="white",style="solid",shape="box"];260 -> 952[label="",style="solid", color="burlywood", weight=9]; 952 -> 339[label="",style="solid", color="burlywood", weight=3]; 953[label="xv4/Neg xv40",fontsize=10,color="white",style="solid",shape="box"];260 -> 953[label="",style="solid", color="burlywood", weight=9]; 953 -> 340[label="",style="solid", color="burlywood", weight=3]; 261[label="primEqInt (Neg Zero) xv4",fontsize=16,color="burlywood",shape="box"];954[label="xv4/Pos xv40",fontsize=10,color="white",style="solid",shape="box"];261 -> 954[label="",style="solid", color="burlywood", weight=9]; 954 -> 341[label="",style="solid", color="burlywood", weight=3]; 955[label="xv4/Neg xv40",fontsize=10,color="white",style="solid",shape="box"];261 -> 955[label="",style="solid", color="burlywood", weight=9]; 955 -> 342[label="",style="solid", color="burlywood", weight=3]; 262[label="primEqFloat (Float xv30 xv31) (Float xv40 xv41)",fontsize=16,color="black",shape="box"];262 -> 343[label="",style="solid", color="black", weight=3]; 263[label="True",fontsize=16,color="green",shape="box"];264 -> 416[label="",style="dashed", color="red", weight=0]; 264[label="xv30 == xv40 && xv31 == xv41",fontsize=16,color="magenta"];264 -> 423[label="",style="dashed", color="magenta", weight=3]; 264 -> 424[label="",style="dashed", color="magenta", weight=3]; 265[label="False",fontsize=16,color="green",shape="box"];266[label="False",fontsize=16,color="green",shape="box"];267[label="True",fontsize=16,color="green",shape="box"];268[label="primEqDouble (Double xv30 xv31) (Double xv40 xv41)",fontsize=16,color="black",shape="box"];268 -> 344[label="",style="solid", color="black", weight=3]; 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352[label="",style="dashed", color="magenta", weight=3]; 273 -> 353[label="",style="dashed", color="magenta", weight=3]; 274 -> 130[label="",style="dashed", color="red", weight=0]; 274[label="xv30 == xv40",fontsize=16,color="magenta"];274 -> 354[label="",style="dashed", color="magenta", weight=3]; 274 -> 355[label="",style="dashed", color="magenta", weight=3]; 275 -> 131[label="",style="dashed", color="red", weight=0]; 275[label="xv30 == xv40",fontsize=16,color="magenta"];275 -> 356[label="",style="dashed", color="magenta", weight=3]; 275 -> 357[label="",style="dashed", color="magenta", weight=3]; 276 -> 132[label="",style="dashed", color="red", weight=0]; 276[label="xv30 == xv40",fontsize=16,color="magenta"];276 -> 358[label="",style="dashed", color="magenta", weight=3]; 276 -> 359[label="",style="dashed", color="magenta", weight=3]; 277 -> 133[label="",style="dashed", color="red", weight=0]; 277[label="xv30 == xv40",fontsize=16,color="magenta"];277 -> 360[label="",style="dashed", 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Bool",fontsize=10,color="white",style="solid",shape="box"];417 -> 960[label="",style="solid", color="blue", weight=9]; 960 -> 433[label="",style="solid", color="blue", weight=3]; 961[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];417 -> 961[label="",style="solid", color="blue", weight=9]; 961 -> 434[label="",style="solid", color="blue", weight=3]; 962[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];417 -> 962[label="",style="solid", color="blue", weight=9]; 962 -> 435[label="",style="solid", color="blue", weight=3]; 963[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];417 -> 963[label="",style="solid", color="blue", weight=9]; 963 -> 436[label="",style="solid", color="blue", weight=3]; 964[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];417 -> 964[label="",style="solid", color="blue", weight=9]; 964 -> 437[label="",style="solid", color="blue", weight=3]; 965[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];417 -> 965[label="",style="solid", color="blue", weight=9]; 965 -> 438[label="",style="solid", color="blue", weight=3]; 966[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];417 -> 966[label="",style="solid", color="blue", weight=9]; 966 -> 439[label="",style="solid", color="blue", weight=3]; 967[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];417 -> 967[label="",style="solid", color="blue", weight=9]; 967 -> 440[label="",style="solid", color="blue", weight=3]; 968[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];417 -> 968[label="",style="solid", color="blue", weight=9]; 968 -> 441[label="",style="solid", color="blue", weight=3]; 969[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];417 -> 969[label="",style="solid", color="blue", weight=9]; 969 -> 442[label="",style="solid", color="blue", weight=3]; 418[label="xv31 == xv41",fontsize=16,color="blue",shape="box"];970[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];418 -> 970[label="",style="solid", color="blue", weight=9]; 970 -> 443[label="",style="solid", color="blue", weight=3]; 971[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];418 -> 971[label="",style="solid", color="blue", weight=9]; 971 -> 444[label="",style="solid", color="blue", weight=3]; 972[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];418 -> 972[label="",style="solid", color="blue", weight=9]; 972 -> 445[label="",style="solid", color="blue", weight=3]; 973[label="== :: (Ratio a) -> (Ratio a) -> 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977 -> 450[label="",style="solid", color="blue", weight=3]; 978[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];418 -> 978[label="",style="solid", color="blue", weight=9]; 978 -> 451[label="",style="solid", color="blue", weight=3]; 979[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];418 -> 979[label="",style="solid", color="blue", weight=9]; 979 -> 452[label="",style="solid", color="blue", weight=3]; 980[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];418 -> 980[label="",style="solid", color="blue", weight=9]; 980 -> 453[label="",style="solid", color="blue", weight=3]; 981[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];418 -> 981[label="",style="solid", color="blue", weight=9]; 981 -> 454[label="",style="solid", color="blue", weight=3]; 982[label="== :: Double -> Double -> 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463[label="",style="dashed", color="magenta", weight=3]; 308 -> 464[label="",style="dashed", color="magenta", weight=3]; 309 -> 127[label="",style="dashed", color="red", weight=0]; 309[label="xv30 == xv40",fontsize=16,color="magenta"];309 -> 465[label="",style="dashed", color="magenta", weight=3]; 309 -> 466[label="",style="dashed", color="magenta", weight=3]; 310 -> 128[label="",style="dashed", color="red", weight=0]; 310[label="xv30 == xv40",fontsize=16,color="magenta"];310 -> 467[label="",style="dashed", color="magenta", weight=3]; 310 -> 468[label="",style="dashed", color="magenta", weight=3]; 311 -> 129[label="",style="dashed", color="red", weight=0]; 311[label="xv30 == xv40",fontsize=16,color="magenta"];311 -> 469[label="",style="dashed", color="magenta", weight=3]; 311 -> 470[label="",style="dashed", color="magenta", weight=3]; 312 -> 130[label="",style="dashed", color="red", weight=0]; 312[label="xv30 == xv40",fontsize=16,color="magenta"];312 -> 471[label="",style="dashed", 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color="magenta", weight=3]; 321 -> 139[label="",style="dashed", color="red", weight=0]; 321[label="xv30 == xv40",fontsize=16,color="magenta"];321 -> 489[label="",style="dashed", color="magenta", weight=3]; 321 -> 490[label="",style="dashed", color="magenta", weight=3]; 322[label="xv40",fontsize=16,color="green",shape="box"];323[label="xv30",fontsize=16,color="green",shape="box"];421[label="xv30 == xv40",fontsize=16,color="blue",shape="box"];990[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];421 -> 990[label="",style="solid", color="blue", weight=9]; 990 -> 491[label="",style="solid", color="blue", weight=3]; 991[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];421 -> 991[label="",style="solid", color="blue", weight=9]; 991 -> 492[label="",style="solid", color="blue", weight=3]; 992[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];421 -> 992[label="",style="solid", color="blue", weight=9]; 992 -> 493[label="",style="solid", color="blue", weight=3]; 993[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];421 -> 993[label="",style="solid", color="blue", weight=9]; 993 -> 494[label="",style="solid", color="blue", weight=3]; 994[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];421 -> 994[label="",style="solid", color="blue", weight=9]; 994 -> 495[label="",style="solid", color="blue", weight=3]; 995[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];421 -> 995[label="",style="solid", color="blue", weight=9]; 995 -> 496[label="",style="solid", color="blue", weight=3]; 996[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];421 -> 996[label="",style="solid", color="blue", weight=9]; 996 -> 497[label="",style="solid", color="blue", weight=3]; 997[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];421 -> 997[label="",style="solid", color="blue", weight=9]; 997 -> 498[label="",style="solid", color="blue", weight=3]; 998[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];421 -> 998[label="",style="solid", color="blue", weight=9]; 998 -> 499[label="",style="solid", color="blue", weight=3]; 999[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];421 -> 999[label="",style="solid", color="blue", weight=9]; 999 -> 500[label="",style="solid", color="blue", weight=3]; 1000[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];421 -> 1000[label="",style="solid", color="blue", weight=9]; 1000 -> 501[label="",style="solid", color="blue", weight=3]; 1001[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];421 -> 1001[label="",style="solid", color="blue", weight=9]; 1001 -> 502[label="",style="solid", color="blue", weight=3]; 1002[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];421 -> 1002[label="",style="solid", color="blue", weight=9]; 1002 -> 503[label="",style="solid", color="blue", weight=3]; 1003[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];421 -> 1003[label="",style="solid", color="blue", weight=9]; 1003 -> 504[label="",style="solid", color="blue", weight=3]; 422 -> 416[label="",style="dashed", color="red", weight=0]; 422[label="xv31 == xv41 && xv32 == xv42",fontsize=16,color="magenta"];422 -> 505[label="",style="dashed", color="magenta", weight=3]; 422 -> 506[label="",style="dashed", color="magenta", weight=3]; 335[label="primEqInt (Pos (Succ xv300)) (Pos xv40)",fontsize=16,color="burlywood",shape="box"];1004[label="xv40/Succ xv400",fontsize=10,color="white",style="solid",shape="box"];335 -> 1004[label="",style="solid", color="burlywood", weight=9]; 1004 -> 507[label="",style="solid", color="burlywood", weight=3]; 1005[label="xv40/Zero",fontsize=10,color="white",style="solid",shape="box"];335 -> 1005[label="",style="solid", color="burlywood", weight=9]; 1005 -> 508[label="",style="solid", color="burlywood", weight=3]; 336[label="primEqInt (Pos (Succ xv300)) (Neg xv40)",fontsize=16,color="black",shape="box"];336 -> 509[label="",style="solid", color="black", weight=3]; 337[label="primEqInt (Pos Zero) (Pos xv40)",fontsize=16,color="burlywood",shape="box"];1006[label="xv40/Succ xv400",fontsize=10,color="white",style="solid",shape="box"];337 -> 1006[label="",style="solid", color="burlywood", weight=9]; 1006 -> 510[label="",style="solid", color="burlywood", weight=3]; 1007[label="xv40/Zero",fontsize=10,color="white",style="solid",shape="box"];337 -> 1007[label="",style="solid", color="burlywood", weight=9]; 1007 -> 511[label="",style="solid", color="burlywood", weight=3]; 338[label="primEqInt (Pos Zero) (Neg xv40)",fontsize=16,color="burlywood",shape="box"];1008[label="xv40/Succ xv400",fontsize=10,color="white",style="solid",shape="box"];338 -> 1008[label="",style="solid", color="burlywood", weight=9]; 1008 -> 512[label="",style="solid", color="burlywood", weight=3]; 1009[label="xv40/Zero",fontsize=10,color="white",style="solid",shape="box"];338 -> 1009[label="",style="solid", color="burlywood", weight=9]; 1009 -> 513[label="",style="solid", color="burlywood", weight=3]; 339[label="primEqInt (Neg (Succ xv300)) (Pos xv40)",fontsize=16,color="black",shape="box"];339 -> 514[label="",style="solid", color="black", weight=3]; 340[label="primEqInt (Neg (Succ xv300)) (Neg xv40)",fontsize=16,color="burlywood",shape="box"];1010[label="xv40/Succ xv400",fontsize=10,color="white",style="solid",shape="box"];340 -> 1010[label="",style="solid", color="burlywood", weight=9]; 1010 -> 515[label="",style="solid", color="burlywood", weight=3]; 1011[label="xv40/Zero",fontsize=10,color="white",style="solid",shape="box"];340 -> 1011[label="",style="solid", color="burlywood", weight=9]; 1011 -> 516[label="",style="solid", color="burlywood", weight=3]; 341[label="primEqInt (Neg Zero) (Pos xv40)",fontsize=16,color="burlywood",shape="box"];1012[label="xv40/Succ xv400",fontsize=10,color="white",style="solid",shape="box"];341 -> 1012[label="",style="solid", color="burlywood", weight=9]; 1012 -> 517[label="",style="solid", color="burlywood", weight=3]; 1013[label="xv40/Zero",fontsize=10,color="white",style="solid",shape="box"];341 -> 1013[label="",style="solid", color="burlywood", weight=9]; 1013 -> 518[label="",style="solid", color="burlywood", weight=3]; 342[label="primEqInt (Neg Zero) (Neg xv40)",fontsize=16,color="burlywood",shape="box"];1014[label="xv40/Succ xv400",fontsize=10,color="white",style="solid",shape="box"];342 -> 1014[label="",style="solid", color="burlywood", weight=9]; 1014 -> 519[label="",style="solid", color="burlywood", weight=3]; 1015[label="xv40/Zero",fontsize=10,color="white",style="solid",shape="box"];342 -> 1015[label="",style="solid", color="burlywood", weight=9]; 1015 -> 520[label="",style="solid", color="burlywood", weight=3]; 343 -> 134[label="",style="dashed", color="red", weight=0]; 343[label="xv30 * xv41 == xv31 * xv40",fontsize=16,color="magenta"];343 -> 521[label="",style="dashed", color="magenta", weight=3]; 343 -> 522[label="",style="dashed", color="magenta", weight=3]; 423[label="xv30 == xv40",fontsize=16,color="blue",shape="box"];1016[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];423 -> 1016[label="",style="solid", color="blue", weight=9]; 1016 -> 523[label="",style="solid", color="blue", weight=3]; 1017[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];423 -> 1017[label="",style="solid", color="blue", weight=9]; 1017 -> 524[label="",style="solid", color="blue", weight=3]; 1018[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];423 -> 1018[label="",style="solid", color="blue", weight=9]; 1018 -> 525[label="",style="solid", color="blue", weight=3]; 1019[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];423 -> 1019[label="",style="solid", color="blue", weight=9]; 1019 -> 526[label="",style="solid", color="blue", weight=3]; 1020[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];423 -> 1020[label="",style="solid", color="blue", weight=9]; 1020 -> 527[label="",style="solid", color="blue", weight=3]; 1021[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];423 -> 1021[label="",style="solid", color="blue", weight=9]; 1021 -> 528[label="",style="solid", color="blue", weight=3]; 1022[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];423 -> 1022[label="",style="solid", color="blue", weight=9]; 1022 -> 529[label="",style="solid", color="blue", weight=3]; 1023[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];423 -> 1023[label="",style="solid", color="blue", weight=9]; 1023 -> 530[label="",style="solid", color="blue", weight=3]; 1024[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];423 -> 1024[label="",style="solid", color="blue", weight=9]; 1024 -> 531[label="",style="solid", color="blue", weight=3]; 1025[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];423 -> 1025[label="",style="solid", color="blue", weight=9]; 1025 -> 532[label="",style="solid", color="blue", weight=3]; 1026[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];423 -> 1026[label="",style="solid", color="blue", weight=9]; 1026 -> 533[label="",style="solid", color="blue", weight=3]; 1027[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];423 -> 1027[label="",style="solid", color="blue", weight=9]; 1027 -> 534[label="",style="solid", color="blue", weight=3]; 1028[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];423 -> 1028[label="",style="solid", color="blue", weight=9]; 1028 -> 535[label="",style="solid", color="blue", weight=3]; 1029[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];423 -> 1029[label="",style="solid", color="blue", weight=9]; 1029 -> 536[label="",style="solid", color="blue", weight=3]; 424 -> 137[label="",style="dashed", color="red", weight=0]; 424[label="xv31 == xv41",fontsize=16,color="magenta"];424 -> 537[label="",style="dashed", color="magenta", weight=3]; 424 -> 538[label="",style="dashed", color="magenta", weight=3]; 344 -> 134[label="",style="dashed", color="red", weight=0]; 344[label="xv30 * xv41 == xv31 * xv40",fontsize=16,color="magenta"];344 -> 539[label="",style="dashed", color="magenta", weight=3]; 344 -> 540[label="",style="dashed", color="magenta", weight=3]; 345[label="primEqNat xv30 xv40",fontsize=16,color="burlywood",shape="triangle"];1030[label="xv30/Succ xv300",fontsize=10,color="white",style="solid",shape="box"];345 -> 1030[label="",style="solid", color="burlywood", weight=9]; 1030 -> 541[label="",style="solid", color="burlywood", weight=3]; 1031[label="xv30/Zero",fontsize=10,color="white",style="solid",shape="box"];345 -> 1031[label="",style="solid", color="burlywood", weight=9]; 1031 -> 542[label="",style="solid", color="burlywood", weight=3]; 346[label="xv40",fontsize=16,color="green",shape="box"];347[label="xv30",fontsize=16,color="green",shape="box"];348[label="xv40",fontsize=16,color="green",shape="box"];349[label="xv30",fontsize=16,color="green",shape="box"];350[label="xv40",fontsize=16,color="green",shape="box"];351[label="xv30",fontsize=16,color="green",shape="box"];352[label="xv40",fontsize=16,color="green",shape="box"];353[label="xv30",fontsize=16,color="green",shape="box"];354[label="xv40",fontsize=16,color="green",shape="box"];355[label="xv30",fontsize=16,color="green",shape="box"];356[label="xv40",fontsize=16,color="green",shape="box"];357[label="xv30",fontsize=16,color="green",shape="box"];358[label="xv40",fontsize=16,color="green",shape="box"];359[label="xv30",fontsize=16,color="green",shape="box"];360[label="xv40",fontsize=16,color="green",shape="box"];361[label="xv30",fontsize=16,color="green",shape="box"];362[label="xv40",fontsize=16,color="green",shape="box"];363[label="xv30",fontsize=16,color="green",shape="box"];364[label="xv40",fontsize=16,color="green",shape="box"];365[label="xv30",fontsize=16,color="green",shape="box"];366[label="xv40",fontsize=16,color="green",shape="box"];367[label="xv30",fontsize=16,color="green",shape="box"];368[label="xv40",fontsize=16,color="green",shape="box"];369[label="xv30",fontsize=16,color="green",shape="box"];370[label="xv40",fontsize=16,color="green",shape="box"];371[label="xv30",fontsize=16,color="green",shape="box"];372[label="xv40",fontsize=16,color="green",shape="box"];373[label="xv30",fontsize=16,color="green",shape="box"];374[label="xv40",fontsize=16,color="green",shape="box"];375[label="xv30",fontsize=16,color="green",shape="box"];376[label="xv40",fontsize=16,color="green",shape="box"];377[label="xv30",fontsize=16,color="green",shape="box"];378[label="xv40",fontsize=16,color="green",shape="box"];379[label="xv30",fontsize=16,color="green",shape="box"];380[label="xv40",fontsize=16,color="green",shape="box"];381[label="xv30",fontsize=16,color="green",shape="box"];382[label="xv40",fontsize=16,color="green",shape="box"];383[label="xv30",fontsize=16,color="green",shape="box"];384[label="xv40",fontsize=16,color="green",shape="box"];385[label="xv30",fontsize=16,color="green",shape="box"];386[label="xv40",fontsize=16,color="green",shape="box"];387[label="xv30",fontsize=16,color="green",shape="box"];388[label="xv40",fontsize=16,color="green",shape="box"];389[label="xv30",fontsize=16,color="green",shape="box"];390[label="xv40",fontsize=16,color="green",shape="box"];391[label="xv30",fontsize=16,color="green",shape="box"];392[label="xv40",fontsize=16,color="green",shape="box"];393[label="xv30",fontsize=16,color="green",shape="box"];394[label="xv40",fontsize=16,color="green",shape="box"];395[label="xv30",fontsize=16,color="green",shape="box"];396[label="xv40",fontsize=16,color="green",shape="box"];397[label="xv30",fontsize=16,color="green",shape="box"];398[label="xv40",fontsize=16,color="green",shape="box"];399[label="xv30",fontsize=16,color="green",shape="box"];400[label="xv40",fontsize=16,color="green",shape="box"];401[label="xv30",fontsize=16,color="green",shape="box"];429 -> 126[label="",style="dashed", color="red", weight=0]; 429[label="xv30 == xv40",fontsize=16,color="magenta"];429 -> 543[label="",style="dashed", color="magenta", weight=3]; 429 -> 544[label="",style="dashed", color="magenta", weight=3]; 430 -> 127[label="",style="dashed", color="red", weight=0]; 430[label="xv30 == xv40",fontsize=16,color="magenta"];430 -> 545[label="",style="dashed", color="magenta", weight=3]; 430 -> 546[label="",style="dashed", color="magenta", weight=3]; 431 -> 128[label="",style="dashed", color="red", weight=0]; 431[label="xv30 == xv40",fontsize=16,color="magenta"];431 -> 547[label="",style="dashed", color="magenta", weight=3]; 431 -> 548[label="",style="dashed", color="magenta", weight=3]; 432 -> 129[label="",style="dashed", color="red", weight=0]; 432[label="xv30 == xv40",fontsize=16,color="magenta"];432 -> 549[label="",style="dashed", color="magenta", weight=3]; 432 -> 550[label="",style="dashed", color="magenta", weight=3]; 433 -> 130[label="",style="dashed", color="red", weight=0]; 433[label="xv30 == xv40",fontsize=16,color="magenta"];433 -> 551[label="",style="dashed", color="magenta", weight=3]; 433 -> 552[label="",style="dashed", color="magenta", weight=3]; 434 -> 131[label="",style="dashed", color="red", weight=0]; 434[label="xv30 == xv40",fontsize=16,color="magenta"];434 -> 553[label="",style="dashed", color="magenta", weight=3]; 434 -> 554[label="",style="dashed", color="magenta", weight=3]; 435 -> 132[label="",style="dashed", color="red", weight=0]; 435[label="xv30 == xv40",fontsize=16,color="magenta"];435 -> 555[label="",style="dashed", color="magenta", weight=3]; 435 -> 556[label="",style="dashed", color="magenta", weight=3]; 436 -> 133[label="",style="dashed", color="red", weight=0]; 436[label="xv30 == xv40",fontsize=16,color="magenta"];436 -> 557[label="",style="dashed", color="magenta", weight=3]; 436 -> 558[label="",style="dashed", color="magenta", weight=3]; 437 -> 134[label="",style="dashed", color="red", weight=0]; 437[label="xv30 == xv40",fontsize=16,color="magenta"];437 -> 559[label="",style="dashed", color="magenta", weight=3]; 437 -> 560[label="",style="dashed", color="magenta", weight=3]; 438 -> 135[label="",style="dashed", color="red", weight=0]; 438[label="xv30 == xv40",fontsize=16,color="magenta"];438 -> 561[label="",style="dashed", color="magenta", weight=3]; 438 -> 562[label="",style="dashed", color="magenta", weight=3]; 439 -> 136[label="",style="dashed", color="red", weight=0]; 439[label="xv30 == xv40",fontsize=16,color="magenta"];439 -> 563[label="",style="dashed", color="magenta", weight=3]; 439 -> 564[label="",style="dashed", color="magenta", weight=3]; 440 -> 137[label="",style="dashed", color="red", weight=0]; 440[label="xv30 == xv40",fontsize=16,color="magenta"];440 -> 565[label="",style="dashed", color="magenta", weight=3]; 440 -> 566[label="",style="dashed", color="magenta", weight=3]; 441 -> 138[label="",style="dashed", color="red", weight=0]; 441[label="xv30 == xv40",fontsize=16,color="magenta"];441 -> 567[label="",style="dashed", color="magenta", weight=3]; 441 -> 568[label="",style="dashed", color="magenta", weight=3]; 442 -> 139[label="",style="dashed", color="red", weight=0]; 442[label="xv30 == xv40",fontsize=16,color="magenta"];442 -> 569[label="",style="dashed", color="magenta", weight=3]; 442 -> 570[label="",style="dashed", color="magenta", weight=3]; 443 -> 126[label="",style="dashed", color="red", weight=0]; 443[label="xv31 == xv41",fontsize=16,color="magenta"];443 -> 571[label="",style="dashed", color="magenta", weight=3]; 443 -> 572[label="",style="dashed", color="magenta", weight=3]; 444 -> 127[label="",style="dashed", color="red", weight=0]; 444[label="xv31 == xv41",fontsize=16,color="magenta"];444 -> 573[label="",style="dashed", color="magenta", weight=3]; 444 -> 574[label="",style="dashed", color="magenta", weight=3]; 445 -> 128[label="",style="dashed", color="red", weight=0]; 445[label="xv31 == xv41",fontsize=16,color="magenta"];445 -> 575[label="",style="dashed", color="magenta", weight=3]; 445 -> 576[label="",style="dashed", color="magenta", weight=3]; 446 -> 129[label="",style="dashed", color="red", weight=0]; 446[label="xv31 == xv41",fontsize=16,color="magenta"];446 -> 577[label="",style="dashed", color="magenta", weight=3]; 446 -> 578[label="",style="dashed", color="magenta", weight=3]; 447 -> 130[label="",style="dashed", color="red", weight=0]; 447[label="xv31 == xv41",fontsize=16,color="magenta"];447 -> 579[label="",style="dashed", color="magenta", weight=3]; 447 -> 580[label="",style="dashed", color="magenta", weight=3]; 448 -> 131[label="",style="dashed", color="red", weight=0]; 448[label="xv31 == xv41",fontsize=16,color="magenta"];448 -> 581[label="",style="dashed", color="magenta", weight=3]; 448 -> 582[label="",style="dashed", color="magenta", weight=3]; 449 -> 132[label="",style="dashed", color="red", weight=0]; 449[label="xv31 == xv41",fontsize=16,color="magenta"];449 -> 583[label="",style="dashed", color="magenta", weight=3]; 449 -> 584[label="",style="dashed", color="magenta", weight=3]; 450 -> 133[label="",style="dashed", color="red", weight=0]; 450[label="xv31 == xv41",fontsize=16,color="magenta"];450 -> 585[label="",style="dashed", color="magenta", weight=3]; 450 -> 586[label="",style="dashed", color="magenta", weight=3]; 451 -> 134[label="",style="dashed", color="red", weight=0]; 451[label="xv31 == xv41",fontsize=16,color="magenta"];451 -> 587[label="",style="dashed", color="magenta", weight=3]; 451 -> 588[label="",style="dashed", color="magenta", weight=3]; 452 -> 135[label="",style="dashed", color="red", weight=0]; 452[label="xv31 == xv41",fontsize=16,color="magenta"];452 -> 589[label="",style="dashed", color="magenta", weight=3]; 452 -> 590[label="",style="dashed", color="magenta", weight=3]; 453 -> 136[label="",style="dashed", color="red", weight=0]; 453[label="xv31 == xv41",fontsize=16,color="magenta"];453 -> 591[label="",style="dashed", color="magenta", weight=3]; 453 -> 592[label="",style="dashed", color="magenta", weight=3]; 454 -> 137[label="",style="dashed", color="red", weight=0]; 454[label="xv31 == xv41",fontsize=16,color="magenta"];454 -> 593[label="",style="dashed", color="magenta", weight=3]; 454 -> 594[label="",style="dashed", color="magenta", weight=3]; 455 -> 138[label="",style="dashed", color="red", weight=0]; 455[label="xv31 == xv41",fontsize=16,color="magenta"];455 -> 595[label="",style="dashed", color="magenta", weight=3]; 455 -> 596[label="",style="dashed", color="magenta", weight=3]; 456 -> 139[label="",style="dashed", color="red", weight=0]; 456[label="xv31 == xv41",fontsize=16,color="magenta"];456 -> 597[label="",style="dashed", color="magenta", weight=3]; 456 -> 598[label="",style="dashed", color="magenta", weight=3]; 457[label="False && xv20",fontsize=16,color="black",shape="box"];457 -> 599[label="",style="solid", color="black", weight=3]; 458[label="True && xv20",fontsize=16,color="black",shape="box"];458 -> 600[label="",style="solid", color="black", weight=3]; 459 -> 132[label="",style="dashed", color="red", weight=0]; 459[label="xv30 == xv40",fontsize=16,color="magenta"];459 -> 601[label="",style="dashed", color="magenta", weight=3]; 459 -> 602[label="",style="dashed", color="magenta", weight=3]; 460 -> 134[label="",style="dashed", color="red", weight=0]; 460[label="xv30 == xv40",fontsize=16,color="magenta"];460 -> 603[label="",style="dashed", color="magenta", weight=3]; 460 -> 604[label="",style="dashed", color="magenta", weight=3]; 461 -> 132[label="",style="dashed", color="red", weight=0]; 461[label="xv31 == xv41",fontsize=16,color="magenta"];461 -> 605[label="",style="dashed", color="magenta", weight=3]; 461 -> 606[label="",style="dashed", color="magenta", weight=3]; 462 -> 134[label="",style="dashed", color="red", weight=0]; 462[label="xv31 == xv41",fontsize=16,color="magenta"];462 -> 607[label="",style="dashed", color="magenta", weight=3]; 462 -> 608[label="",style="dashed", color="magenta", weight=3]; 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[label="xv40",fontsize=16,color="green",shape="box"];470[label="xv30",fontsize=16,color="green",shape="box"];471[label="xv40",fontsize=16,color="green",shape="box"];472[label="xv30",fontsize=16,color="green",shape="box"];473[label="xv40",fontsize=16,color="green",shape="box"];474[label="xv30",fontsize=16,color="green",shape="box"];475[label="xv40",fontsize=16,color="green",shape="box"];476[label="xv30",fontsize=16,color="green",shape="box"];477[label="xv40",fontsize=16,color="green",shape="box"];478[label="xv30",fontsize=16,color="green",shape="box"];479[label="xv40",fontsize=16,color="green",shape="box"];480[label="xv30",fontsize=16,color="green",shape="box"];481[label="xv40",fontsize=16,color="green",shape="box"];482[label="xv30",fontsize=16,color="green",shape="box"];483[label="xv40",fontsize=16,color="green",shape="box"];484[label="xv30",fontsize=16,color="green",shape="box"];485[label="xv40",fontsize=16,color="green",shape="box"];486[label="xv30",fontsize=16,color="green",shape="box"];487[label="xv40",fontsize=16,color="green",shape="box"];488[label="xv30",fontsize=16,color="green",shape="box"];489[label="xv40",fontsize=16,color="green",shape="box"];490[label="xv30",fontsize=16,color="green",shape="box"];491 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499[label="xv30 == xv40",fontsize=16,color="magenta"];499 -> 625[label="",style="dashed", color="magenta", weight=3]; 499 -> 626[label="",style="dashed", color="magenta", weight=3]; 500 -> 135[label="",style="dashed", color="red", weight=0]; 500[label="xv30 == xv40",fontsize=16,color="magenta"];500 -> 627[label="",style="dashed", color="magenta", weight=3]; 500 -> 628[label="",style="dashed", color="magenta", weight=3]; 501 -> 136[label="",style="dashed", color="red", weight=0]; 501[label="xv30 == xv40",fontsize=16,color="magenta"];501 -> 629[label="",style="dashed", color="magenta", weight=3]; 501 -> 630[label="",style="dashed", color="magenta", weight=3]; 502 -> 137[label="",style="dashed", color="red", weight=0]; 502[label="xv30 == xv40",fontsize=16,color="magenta"];502 -> 631[label="",style="dashed", color="magenta", weight=3]; 502 -> 632[label="",style="dashed", color="magenta", weight=3]; 503 -> 138[label="",style="dashed", color="red", weight=0]; 503[label="xv30 == 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Bool",fontsize=10,color="white",style="solid",shape="box"];505 -> 1034[label="",style="solid", color="blue", weight=9]; 1034 -> 639[label="",style="solid", color="blue", weight=3]; 1035[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];505 -> 1035[label="",style="solid", color="blue", weight=9]; 1035 -> 640[label="",style="solid", color="blue", weight=3]; 1036[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];505 -> 1036[label="",style="solid", color="blue", weight=9]; 1036 -> 641[label="",style="solid", color="blue", weight=3]; 1037[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];505 -> 1037[label="",style="solid", color="blue", weight=9]; 1037 -> 642[label="",style="solid", color="blue", weight=3]; 1038[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];505 -> 1038[label="",style="solid", color="blue", weight=9]; 1038 -> 643[label="",style="solid", color="blue", weight=3]; 1039[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];505 -> 1039[label="",style="solid", color="blue", weight=9]; 1039 -> 644[label="",style="solid", color="blue", weight=3]; 1040[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];505 -> 1040[label="",style="solid", color="blue", weight=9]; 1040 -> 645[label="",style="solid", color="blue", weight=3]; 1041[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];505 -> 1041[label="",style="solid", color="blue", weight=9]; 1041 -> 646[label="",style="solid", color="blue", weight=3]; 1042[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];505 -> 1042[label="",style="solid", color="blue", weight=9]; 1042 -> 647[label="",style="solid", color="blue", weight=3]; 1043[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];505 -> 1043[label="",style="solid", color="blue", weight=9]; 1043 -> 648[label="",style="solid", color="blue", weight=3]; 1044[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];505 -> 1044[label="",style="solid", color="blue", weight=9]; 1044 -> 649[label="",style="solid", color="blue", weight=3]; 1045[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];505 -> 1045[label="",style="solid", color="blue", weight=9]; 1045 -> 650[label="",style="solid", color="blue", weight=3]; 506[label="xv32 == xv42",fontsize=16,color="blue",shape="box"];1046[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];506 -> 1046[label="",style="solid", color="blue", weight=9]; 1046 -> 651[label="",style="solid", color="blue", weight=3]; 1047[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];506 -> 1047[label="",style="solid", color="blue", weight=9]; 1047 -> 652[label="",style="solid", color="blue", weight=3]; 1048[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];506 -> 1048[label="",style="solid", color="blue", weight=9]; 1048 -> 653[label="",style="solid", color="blue", weight=3]; 1049[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];506 -> 1049[label="",style="solid", color="blue", weight=9]; 1049 -> 654[label="",style="solid", color="blue", weight=3]; 1050[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];506 -> 1050[label="",style="solid", color="blue", weight=9]; 1050 -> 655[label="",style="solid", color="blue", weight=3]; 1051[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];506 -> 1051[label="",style="solid", color="blue", weight=9]; 1051 -> 656[label="",style="solid", color="blue", weight=3]; 1052[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];506 -> 1052[label="",style="solid", color="blue", weight=9]; 1052 -> 657[label="",style="solid", color="blue", weight=3]; 1053[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];506 -> 1053[label="",style="solid", color="blue", weight=9]; 1053 -> 658[label="",style="solid", color="blue", weight=3]; 1054[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];506 -> 1054[label="",style="solid", color="blue", weight=9]; 1054 -> 659[label="",style="solid", color="blue", weight=3]; 1055[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];506 -> 1055[label="",style="solid", color="blue", weight=9]; 1055 -> 660[label="",style="solid", color="blue", weight=3]; 1056[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];506 -> 1056[label="",style="solid", color="blue", weight=9]; 1056 -> 661[label="",style="solid", color="blue", weight=3]; 1057[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];506 -> 1057[label="",style="solid", color="blue", weight=9]; 1057 -> 662[label="",style="solid", color="blue", weight=3]; 1058[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];506 -> 1058[label="",style="solid", color="blue", weight=9]; 1058 -> 663[label="",style="solid", color="blue", weight=3]; 1059[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];506 -> 1059[label="",style="solid", color="blue", weight=9]; 1059 -> 664[label="",style="solid", color="blue", weight=3]; 507[label="primEqInt (Pos (Succ xv300)) (Pos (Succ xv400))",fontsize=16,color="black",shape="box"];507 -> 665[label="",style="solid", color="black", weight=3]; 508[label="primEqInt (Pos (Succ xv300)) (Pos Zero)",fontsize=16,color="black",shape="box"];508 -> 666[label="",style="solid", color="black", weight=3]; 509[label="False",fontsize=16,color="green",shape="box"];510[label="primEqInt (Pos Zero) (Pos (Succ xv400))",fontsize=16,color="black",shape="box"];510 -> 667[label="",style="solid", color="black", weight=3]; 511[label="primEqInt (Pos Zero) (Pos Zero)",fontsize=16,color="black",shape="box"];511 -> 668[label="",style="solid", color="black", weight=3]; 512[label="primEqInt (Pos Zero) (Neg (Succ xv400))",fontsize=16,color="black",shape="box"];512 -> 669[label="",style="solid", color="black", weight=3]; 513[label="primEqInt (Pos Zero) (Neg Zero)",fontsize=16,color="black",shape="box"];513 -> 670[label="",style="solid", color="black", weight=3]; 514[label="False",fontsize=16,color="green",shape="box"];515[label="primEqInt (Neg (Succ xv300)) (Neg (Succ xv400))",fontsize=16,color="black",shape="box"];515 -> 671[label="",style="solid", color="black", weight=3]; 516[label="primEqInt (Neg (Succ xv300)) (Neg Zero)",fontsize=16,color="black",shape="box"];516 -> 672[label="",style="solid", color="black", weight=3]; 517[label="primEqInt (Neg Zero) (Pos (Succ xv400))",fontsize=16,color="black",shape="box"];517 -> 673[label="",style="solid", color="black", weight=3]; 518[label="primEqInt (Neg Zero) (Pos Zero)",fontsize=16,color="black",shape="box"];518 -> 674[label="",style="solid", color="black", weight=3]; 519[label="primEqInt (Neg Zero) (Neg (Succ xv400))",fontsize=16,color="black",shape="box"];519 -> 675[label="",style="solid", color="black", weight=3]; 520[label="primEqInt (Neg Zero) (Neg Zero)",fontsize=16,color="black",shape="box"];520 -> 676[label="",style="solid", color="black", weight=3]; 521[label="xv31 * xv40",fontsize=16,color="black",shape="triangle"];521 -> 677[label="",style="solid", color="black", weight=3]; 522 -> 521[label="",style="dashed", color="red", weight=0]; 522[label="xv30 * 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xv40",fontsize=16,color="magenta"];530 -> 694[label="",style="dashed", color="magenta", weight=3]; 530 -> 695[label="",style="dashed", color="magenta", weight=3]; 531 -> 134[label="",style="dashed", color="red", weight=0]; 531[label="xv30 == xv40",fontsize=16,color="magenta"];531 -> 696[label="",style="dashed", color="magenta", weight=3]; 531 -> 697[label="",style="dashed", color="magenta", weight=3]; 532 -> 135[label="",style="dashed", color="red", weight=0]; 532[label="xv30 == xv40",fontsize=16,color="magenta"];532 -> 698[label="",style="dashed", color="magenta", weight=3]; 532 -> 699[label="",style="dashed", color="magenta", weight=3]; 533 -> 136[label="",style="dashed", color="red", weight=0]; 533[label="xv30 == xv40",fontsize=16,color="magenta"];533 -> 700[label="",style="dashed", color="magenta", weight=3]; 533 -> 701[label="",style="dashed", color="magenta", weight=3]; 534 -> 137[label="",style="dashed", color="red", weight=0]; 534[label="xv30 == xv40",fontsize=16,color="magenta"];534 -> 702[label="",style="dashed", color="magenta", weight=3]; 534 -> 703[label="",style="dashed", color="magenta", weight=3]; 535 -> 138[label="",style="dashed", color="red", weight=0]; 535[label="xv30 == xv40",fontsize=16,color="magenta"];535 -> 704[label="",style="dashed", color="magenta", weight=3]; 535 -> 705[label="",style="dashed", color="magenta", weight=3]; 536 -> 139[label="",style="dashed", color="red", weight=0]; 536[label="xv30 == xv40",fontsize=16,color="magenta"];536 -> 706[label="",style="dashed", color="magenta", weight=3]; 536 -> 707[label="",style="dashed", color="magenta", weight=3]; 537[label="xv41",fontsize=16,color="green",shape="box"];538[label="xv31",fontsize=16,color="green",shape="box"];539 -> 521[label="",style="dashed", color="red", weight=0]; 539[label="xv31 * xv40",fontsize=16,color="magenta"];539 -> 708[label="",style="dashed", color="magenta", weight=3]; 539 -> 709[label="",style="dashed", color="magenta", weight=3]; 540 -> 521[label="",style="dashed", color="red", weight=0]; 540[label="xv30 * xv41",fontsize=16,color="magenta"];540 -> 710[label="",style="dashed", color="magenta", weight=3]; 540 -> 711[label="",style="dashed", color="magenta", weight=3]; 541[label="primEqNat (Succ xv300) xv40",fontsize=16,color="burlywood",shape="box"];1060[label="xv40/Succ xv400",fontsize=10,color="white",style="solid",shape="box"];541 -> 1060[label="",style="solid", color="burlywood", weight=9]; 1060 -> 712[label="",style="solid", color="burlywood", weight=3]; 1061[label="xv40/Zero",fontsize=10,color="white",style="solid",shape="box"];541 -> 1061[label="",style="solid", color="burlywood", weight=9]; 1061 -> 713[label="",style="solid", color="burlywood", weight=3]; 542[label="primEqNat Zero xv40",fontsize=16,color="burlywood",shape="box"];1062[label="xv40/Succ xv400",fontsize=10,color="white",style="solid",shape="box"];542 -> 1062[label="",style="solid", color="burlywood", weight=9]; 1062 -> 714[label="",style="solid", color="burlywood", weight=3]; 1063[label="xv40/Zero",fontsize=10,color="white",style="solid",shape="box"];542 -> 1063[label="",style="solid", color="burlywood", weight=9]; 1063 -> 715[label="",style="solid", color="burlywood", weight=3]; 543[label="xv40",fontsize=16,color="green",shape="box"];544[label="xv30",fontsize=16,color="green",shape="box"];545[label="xv40",fontsize=16,color="green",shape="box"];546[label="xv30",fontsize=16,color="green",shape="box"];547[label="xv40",fontsize=16,color="green",shape="box"];548[label="xv30",fontsize=16,color="green",shape="box"];549[label="xv40",fontsize=16,color="green",shape="box"];550[label="xv30",fontsize=16,color="green",shape="box"];551[label="xv40",fontsize=16,color="green",shape="box"];552[label="xv30",fontsize=16,color="green",shape="box"];553[label="xv40",fontsize=16,color="green",shape="box"];554[label="xv30",fontsize=16,color="green",shape="box"];555[label="xv40",fontsize=16,color="green",shape="box"];556[label="xv30",fontsize=16,color="green",shape="box"];557[label="xv40",fontsize=16,color="green",shape="box"];558[label="xv30",fontsize=16,color="green",shape="box"];559[label="xv40",fontsize=16,color="green",shape="box"];560[label="xv30",fontsize=16,color="green",shape="box"];561[label="xv40",fontsize=16,color="green",shape="box"];562[label="xv30",fontsize=16,color="green",shape="box"];563[label="xv40",fontsize=16,color="green",shape="box"];564[label="xv30",fontsize=16,color="green",shape="box"];565[label="xv40",fontsize=16,color="green",shape="box"];566[label="xv30",fontsize=16,color="green",shape="box"];567[label="xv40",fontsize=16,color="green",shape="box"];568[label="xv30",fontsize=16,color="green",shape="box"];569[label="xv40",fontsize=16,color="green",shape="box"];570[label="xv30",fontsize=16,color="green",shape="box"];571[label="xv41",fontsize=16,color="green",shape="box"];572[label="xv31",fontsize=16,color="green",shape="box"];573[label="xv41",fontsize=16,color="green",shape="box"];574[label="xv31",fontsize=16,color="green",shape="box"];575[label="xv41",fontsize=16,color="green",shape="box"];576[label="xv31",fontsize=16,color="green",shape="box"];577[label="xv41",fontsize=16,color="green",shape="box"];578[label="xv31",fontsize=16,color="green",shape="box"];579[label="xv41",fontsize=16,color="green",shape="box"];580[label="xv31",fontsize=16,color="green",shape="box"];581[label="xv41",fontsize=16,color="green",shape="box"];582[label="xv31",fontsize=16,color="green",shape="box"];583[label="xv41",fontsize=16,color="green",shape="box"];584[label="xv31",fontsize=16,color="green",shape="box"];585[label="xv41",fontsize=16,color="green",shape="box"];586[label="xv31",fontsize=16,color="green",shape="box"];587[label="xv41",fontsize=16,color="green",shape="box"];588[label="xv31",fontsize=16,color="green",shape="box"];589[label="xv41",fontsize=16,color="green",shape="box"];590[label="xv31",fontsize=16,color="green",shape="box"];591[label="xv41",fontsize=16,color="green",shape="box"];592[label="xv31",fontsize=16,color="green",shape="box"];593[label="xv41",fontsize=16,color="green",shape="box"];594[label="xv31",fontsize=16,color="green",shape="box"];595[label="xv41",fontsize=16,color="green",shape="box"];596[label="xv31",fontsize=16,color="green",shape="box"];597[label="xv41",fontsize=16,color="green",shape="box"];598[label="xv31",fontsize=16,color="green",shape="box"];599[label="False",fontsize=16,color="green",shape="box"];600[label="xv20",fontsize=16,color="green",shape="box"];601[label="xv40",fontsize=16,color="green",shape="box"];602[label="xv30",fontsize=16,color="green",shape="box"];603[label="xv40",fontsize=16,color="green",shape="box"];604[label="xv30",fontsize=16,color="green",shape="box"];605[label="xv41",fontsize=16,color="green",shape="box"];606[label="xv31",fontsize=16,color="green",shape="box"];607[label="xv41",fontsize=16,color="green",shape="box"];608[label="xv31",fontsize=16,color="green",shape="box"];609[label="xv40",fontsize=16,color="green",shape="box"];610[label="xv30",fontsize=16,color="green",shape="box"];611[label="xv40",fontsize=16,color="green",shape="box"];612[label="xv30",fontsize=16,color="green",shape="box"];613[label="xv40",fontsize=16,color="green",shape="box"];614[label="xv30",fontsize=16,color="green",shape="box"];615[label="xv40",fontsize=16,color="green",shape="box"];616[label="xv30",fontsize=16,color="green",shape="box"];617[label="xv40",fontsize=16,color="green",shape="box"];618[label="xv30",fontsize=16,color="green",shape="box"];619[label="xv40",fontsize=16,color="green",shape="box"];620[label="xv30",fontsize=16,color="green",shape="box"];621[label="xv40",fontsize=16,color="green",shape="box"];622[label="xv30",fontsize=16,color="green",shape="box"];623[label="xv40",fontsize=16,color="green",shape="box"];624[label="xv30",fontsize=16,color="green",shape="box"];625[label="xv40",fontsize=16,color="green",shape="box"];626[label="xv30",fontsize=16,color="green",shape="box"];627[label="xv40",fontsize=16,color="green",shape="box"];628[label="xv30",fontsize=16,color="green",shape="box"];629[label="xv40",fontsize=16,color="green",shape="box"];630[label="xv30",fontsize=16,color="green",shape="box"];631[label="xv40",fontsize=16,color="green",shape="box"];632[label="xv30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-> 126[label="",style="dashed", color="red", weight=0]; 637[label="xv31 == xv41",fontsize=16,color="magenta"];637 -> 716[label="",style="dashed", color="magenta", weight=3]; 637 -> 717[label="",style="dashed", color="magenta", weight=3]; 638 -> 127[label="",style="dashed", color="red", weight=0]; 638[label="xv31 == xv41",fontsize=16,color="magenta"];638 -> 718[label="",style="dashed", color="magenta", weight=3]; 638 -> 719[label="",style="dashed", color="magenta", weight=3]; 639 -> 128[label="",style="dashed", color="red", weight=0]; 639[label="xv31 == xv41",fontsize=16,color="magenta"];639 -> 720[label="",style="dashed", color="magenta", weight=3]; 639 -> 721[label="",style="dashed", color="magenta", weight=3]; 640 -> 129[label="",style="dashed", color="red", weight=0]; 640[label="xv31 == xv41",fontsize=16,color="magenta"];640 -> 722[label="",style="dashed", color="magenta", weight=3]; 640 -> 723[label="",style="dashed", color="magenta", weight=3]; 641 -> 130[label="",style="dashed", 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xv41",fontsize=16,color="magenta"];649 -> 740[label="",style="dashed", color="magenta", weight=3]; 649 -> 741[label="",style="dashed", color="magenta", weight=3]; 650 -> 139[label="",style="dashed", color="red", weight=0]; 650[label="xv31 == xv41",fontsize=16,color="magenta"];650 -> 742[label="",style="dashed", color="magenta", weight=3]; 650 -> 743[label="",style="dashed", color="magenta", weight=3]; 651 -> 126[label="",style="dashed", color="red", weight=0]; 651[label="xv32 == xv42",fontsize=16,color="magenta"];651 -> 744[label="",style="dashed", color="magenta", weight=3]; 651 -> 745[label="",style="dashed", color="magenta", weight=3]; 652 -> 127[label="",style="dashed", color="red", weight=0]; 652[label="xv32 == xv42",fontsize=16,color="magenta"];652 -> 746[label="",style="dashed", color="magenta", weight=3]; 652 -> 747[label="",style="dashed", color="magenta", weight=3]; 653 -> 128[label="",style="dashed", color="red", weight=0]; 653[label="xv32 == 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xv400",fontsize=16,color="magenta"];665 -> 772[label="",style="dashed", color="magenta", weight=3]; 665 -> 773[label="",style="dashed", color="magenta", weight=3]; 666[label="False",fontsize=16,color="green",shape="box"];667[label="False",fontsize=16,color="green",shape="box"];668[label="True",fontsize=16,color="green",shape="box"];669[label="False",fontsize=16,color="green",shape="box"];670[label="True",fontsize=16,color="green",shape="box"];671 -> 345[label="",style="dashed", color="red", weight=0]; 671[label="primEqNat xv300 xv400",fontsize=16,color="magenta"];671 -> 774[label="",style="dashed", color="magenta", weight=3]; 671 -> 775[label="",style="dashed", color="magenta", weight=3]; 672[label="False",fontsize=16,color="green",shape="box"];673[label="False",fontsize=16,color="green",shape="box"];674[label="True",fontsize=16,color="green",shape="box"];675[label="False",fontsize=16,color="green",shape="box"];676[label="True",fontsize=16,color="green",shape="box"];677[label="primMulInt xv31 xv40",fontsize=16,color="burlywood",shape="box"];1064[label="xv31/Pos xv310",fontsize=10,color="white",style="solid",shape="box"];677 -> 1064[label="",style="solid", color="burlywood", weight=9]; 1064 -> 776[label="",style="solid", color="burlywood", weight=3]; 1065[label="xv31/Neg xv310",fontsize=10,color="white",style="solid",shape="box"];677 -> 1065[label="",style="solid", color="burlywood", weight=9]; 1065 -> 777[label="",style="solid", color="burlywood", weight=3]; 678[label="xv41",fontsize=16,color="green",shape="box"];679[label="xv30",fontsize=16,color="green",shape="box"];680[label="xv40",fontsize=16,color="green",shape="box"];681[label="xv30",fontsize=16,color="green",shape="box"];682[label="xv40",fontsize=16,color="green",shape="box"];683[label="xv30",fontsize=16,color="green",shape="box"];684[label="xv40",fontsize=16,color="green",shape="box"];685[label="xv30",fontsize=16,color="green",shape="box"];686[label="xv40",fontsize=16,color="green",shape="box"];687[label="xv30",fontsize=16,color="green",shape="box"];688[label="xv40",fontsize=16,color="green",shape="box"];689[label="xv30",fontsize=16,color="green",shape="box"];690[label="xv40",fontsize=16,color="green",shape="box"];691[label="xv30",fontsize=16,color="green",shape="box"];692[label="xv40",fontsize=16,color="green",shape="box"];693[label="xv30",fontsize=16,color="green",shape="box"];694[label="xv40",fontsize=16,color="green",shape="box"];695[label="xv30",fontsize=16,color="green",shape="box"];696[label="xv40",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="xv40",fontsize=16,color="green",shape="box"];703[label="xv30",fontsize=16,color="green",shape="box"];704[label="xv40",fontsize=16,color="green",shape="box"];705[label="xv30",fontsize=16,color="green",shape="box"];706[label="xv40",fontsize=16,color="green",shape="box"];707[label="xv30",fontsize=16,color="green",shape="box"];708[label="xv40",fontsize=16,color="green",shape="box"];709[label="xv31",fontsize=16,color="green",shape="box"];710[label="xv41",fontsize=16,color="green",shape="box"];711[label="xv30",fontsize=16,color="green",shape="box"];712[label="primEqNat (Succ xv300) (Succ xv400)",fontsize=16,color="black",shape="box"];712 -> 778[label="",style="solid", color="black", weight=3]; 713[label="primEqNat (Succ xv300) Zero",fontsize=16,color="black",shape="box"];713 -> 779[label="",style="solid", color="black", weight=3]; 714[label="primEqNat Zero (Succ xv400)",fontsize=16,color="black",shape="box"];714 -> 780[label="",style="solid", color="black", weight=3]; 715[label="primEqNat Zero Zero",fontsize=16,color="black",shape="box"];715 -> 781[label="",style="solid", color="black", weight=3]; 716[label="xv41",fontsize=16,color="green",shape="box"];717[label="xv31",fontsize=16,color="green",shape="box"];718[label="xv41",fontsize=16,color="green",shape="box"];719[label="xv31",fontsize=16,color="green",shape="box"];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="xv42",fontsize=16,color="green",shape="box"];745[label="xv32",fontsize=16,color="green",shape="box"];746[label="xv42",fontsize=16,color="green",shape="box"];747[label="xv32",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="xv300",fontsize=16,color="green",shape="box"];773[label="xv400",fontsize=16,color="green",shape="box"];774[label="xv300",fontsize=16,color="green",shape="box"];775[label="xv400",fontsize=16,color="green",shape="box"];776[label="primMulInt (Pos xv310) xv40",fontsize=16,color="burlywood",shape="box"];1066[label="xv40/Pos xv400",fontsize=10,color="white",style="solid",shape="box"];776 -> 1066[label="",style="solid", color="burlywood", weight=9]; 1066 -> 782[label="",style="solid", color="burlywood", weight=3]; 1067[label="xv40/Neg xv400",fontsize=10,color="white",style="solid",shape="box"];776 -> 1067[label="",style="solid", color="burlywood", weight=9]; 1067 -> 783[label="",style="solid", color="burlywood", weight=3]; 777[label="primMulInt (Neg xv310) xv40",fontsize=16,color="burlywood",shape="box"];1068[label="xv40/Pos xv400",fontsize=10,color="white",style="solid",shape="box"];777 -> 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"];777 -> 1069[label="",style="solid", color="burlywood", weight=9]; 1069 -> 785[label="",style="solid", color="burlywood", weight=3]; 778 -> 345[label="",style="dashed", color="red", weight=0]; 778[label="primEqNat xv300 xv400",fontsize=16,color="magenta"];778 -> 786[label="",style="dashed", color="magenta", weight=3]; 778 -> 787[label="",style="dashed", color="magenta", weight=3]; 779[label="False",fontsize=16,color="green",shape="box"];780[label="False",fontsize=16,color="green",shape="box"];781[label="True",fontsize=16,color="green",shape="box"];782[label="primMulInt (Pos xv310) (Pos xv400)",fontsize=16,color="black",shape="box"];782 -> 788[label="",style="solid", color="black", weight=3]; 783[label="primMulInt (Pos xv310) (Neg xv400)",fontsize=16,color="black",shape="box"];783 -> 789[label="",style="solid", color="black", weight=3]; 784[label="primMulInt (Neg xv310) (Pos xv400)",fontsize=16,color="black",shape="box"];784 -> 790[label="",style="solid", color="black", weight=3]; 785[label="primMulInt (Neg xv310) (Neg xv400)",fontsize=16,color="black",shape="box"];785 -> 791[label="",style="solid", color="black", weight=3]; 786[label="xv300",fontsize=16,color="green",shape="box"];787[label="xv400",fontsize=16,color="green",shape="box"];788[label="Pos (primMulNat xv310 xv400)",fontsize=16,color="green",shape="box"];788 -> 792[label="",style="dashed", color="green", weight=3]; 789[label="Neg (primMulNat xv310 xv400)",fontsize=16,color="green",shape="box"];789 -> 793[label="",style="dashed", color="green", weight=3]; 790[label="Neg (primMulNat xv310 xv400)",fontsize=16,color="green",shape="box"];790 -> 794[label="",style="dashed", color="green", weight=3]; 791[label="Pos (primMulNat xv310 xv400)",fontsize=16,color="green",shape="box"];791 -> 795[label="",style="dashed", color="green", weight=3]; 792[label="primMulNat xv310 xv400",fontsize=16,color="burlywood",shape="triangle"];1070[label="xv310/Succ xv3100",fontsize=10,color="white",style="solid",shape="box"];792 -> 1070[label="",style="solid", color="burlywood", weight=9]; 1070 -> 796[label="",style="solid", color="burlywood", weight=3]; 1071[label="xv310/Zero",fontsize=10,color="white",style="solid",shape="box"];792 -> 1071[label="",style="solid", color="burlywood", weight=9]; 1071 -> 797[label="",style="solid", color="burlywood", weight=3]; 793 -> 792[label="",style="dashed", color="red", weight=0]; 793[label="primMulNat xv310 xv400",fontsize=16,color="magenta"];793 -> 798[label="",style="dashed", color="magenta", weight=3]; 794 -> 792[label="",style="dashed", color="red", weight=0]; 794[label="primMulNat xv310 xv400",fontsize=16,color="magenta"];794 -> 799[label="",style="dashed", color="magenta", weight=3]; 795 -> 792[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]; 795 -> 801[label="",style="dashed", color="magenta", weight=3]; 796[label="primMulNat (Succ xv3100) xv400",fontsize=16,color="burlywood",shape="box"];1072[label="xv400/Succ xv4000",fontsize=10,color="white",style="solid",shape="box"];796 -> 1072[label="",style="solid", color="burlywood", weight=9]; 1072 -> 802[label="",style="solid", color="burlywood", weight=3]; 1073[label="xv400/Zero",fontsize=10,color="white",style="solid",shape="box"];796 -> 1073[label="",style="solid", color="burlywood", weight=9]; 1073 -> 803[label="",style="solid", color="burlywood", weight=3]; 797[label="primMulNat Zero xv400",fontsize=16,color="burlywood",shape="box"];1074[label="xv400/Succ xv4000",fontsize=10,color="white",style="solid",shape="box"];797 -> 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"];797 -> 1075[label="",style="solid", color="burlywood", weight=9]; 1075 -> 805[label="",style="solid", color="burlywood", weight=3]; 798[label="xv400",fontsize=16,color="green",shape="box"];799[label="xv310",fontsize=16,color="green",shape="box"];800[label="xv310",fontsize=16,color="green",shape="box"];801[label="xv400",fontsize=16,color="green",shape="box"];802[label="primMulNat (Succ xv3100) (Succ xv4000)",fontsize=16,color="black",shape="box"];802 -> 806[label="",style="solid", color="black", weight=3]; 803[label="primMulNat (Succ xv3100) Zero",fontsize=16,color="black",shape="box"];803 -> 807[label="",style="solid", color="black", weight=3]; 804[label="primMulNat Zero (Succ xv4000)",fontsize=16,color="black",shape="box"];804 -> 808[label="",style="solid", color="black", weight=3]; 805[label="primMulNat Zero Zero",fontsize=16,color="black",shape="box"];805 -> 809[label="",style="solid", color="black", weight=3]; 806 -> 810[label="",style="dashed", color="red", weight=0]; 806[label="primPlusNat (primMulNat xv3100 (Succ xv4000)) (Succ xv4000)",fontsize=16,color="magenta"];806 -> 811[label="",style="dashed", color="magenta", weight=3]; 807[label="Zero",fontsize=16,color="green",shape="box"];808[label="Zero",fontsize=16,color="green",shape="box"];809[label="Zero",fontsize=16,color="green",shape="box"];811 -> 792[label="",style="dashed", color="red", weight=0]; 811[label="primMulNat xv3100 (Succ xv4000)",fontsize=16,color="magenta"];811 -> 812[label="",style="dashed", color="magenta", weight=3]; 811 -> 813[label="",style="dashed", color="magenta", weight=3]; 810[label="primPlusNat xv21 (Succ xv4000)",fontsize=16,color="burlywood",shape="triangle"];1076[label="xv21/Succ xv210",fontsize=10,color="white",style="solid",shape="box"];810 -> 1076[label="",style="solid", color="burlywood", weight=9]; 1076 -> 814[label="",style="solid", color="burlywood", weight=3]; 1077[label="xv21/Zero",fontsize=10,color="white",style="solid",shape="box"];810 -> 1077[label="",style="solid", color="burlywood", weight=9]; 1077 -> 815[label="",style="solid", color="burlywood", weight=3]; 812[label="xv3100",fontsize=16,color="green",shape="box"];813[label="Succ xv4000",fontsize=16,color="green",shape="box"];814[label="primPlusNat (Succ xv210) (Succ xv4000)",fontsize=16,color="black",shape="box"];814 -> 816[label="",style="solid", color="black", weight=3]; 815[label="primPlusNat Zero (Succ xv4000)",fontsize=16,color="black",shape="box"];815 -> 817[label="",style="solid", color="black", weight=3]; 816[label="Succ (Succ (primPlusNat xv210 xv4000))",fontsize=16,color="green",shape="box"];816 -> 818[label="",style="dashed", color="green", weight=3]; 817[label="Succ xv4000",fontsize=16,color="green",shape="box"];818[label="primPlusNat xv210 xv4000",fontsize=16,color="burlywood",shape="triangle"];1078[label="xv210/Succ xv2100",fontsize=10,color="white",style="solid",shape="box"];818 -> 1078[label="",style="solid", color="burlywood", weight=9]; 1078 -> 819[label="",style="solid", color="burlywood", weight=3]; 1079[label="xv210/Zero",fontsize=10,color="white",style="solid",shape="box"];818 -> 1079[label="",style="solid", color="burlywood", weight=9]; 1079 -> 820[label="",style="solid", color="burlywood", weight=3]; 819[label="primPlusNat (Succ xv2100) xv4000",fontsize=16,color="burlywood",shape="box"];1080[label="xv4000/Succ xv40000",fontsize=10,color="white",style="solid",shape="box"];819 -> 1080[label="",style="solid", color="burlywood", weight=9]; 1080 -> 821[label="",style="solid", color="burlywood", weight=3]; 1081[label="xv4000/Zero",fontsize=10,color="white",style="solid",shape="box"];819 -> 1081[label="",style="solid", color="burlywood", weight=9]; 1081 -> 822[label="",style="solid", color="burlywood", weight=3]; 820[label="primPlusNat Zero xv4000",fontsize=16,color="burlywood",shape="box"];1082[label="xv4000/Succ xv40000",fontsize=10,color="white",style="solid",shape="box"];820 -> 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"];820 -> 1083[label="",style="solid", color="burlywood", weight=9]; 1083 -> 824[label="",style="solid", color="burlywood", weight=3]; 821[label="primPlusNat (Succ xv2100) (Succ xv40000)",fontsize=16,color="black",shape="box"];821 -> 825[label="",style="solid", color="black", weight=3]; 822[label="primPlusNat (Succ xv2100) Zero",fontsize=16,color="black",shape="box"];822 -> 826[label="",style="solid", color="black", weight=3]; 823[label="primPlusNat Zero (Succ xv40000)",fontsize=16,color="black",shape="box"];823 -> 827[label="",style="solid", color="black", weight=3]; 824[label="primPlusNat Zero Zero",fontsize=16,color="black",shape="box"];824 -> 828[label="",style="solid", color="black", weight=3]; 825[label="Succ (Succ (primPlusNat xv2100 xv40000))",fontsize=16,color="green",shape="box"];825 -> 829[label="",style="dashed", color="green", weight=3]; 826[label="Succ xv2100",fontsize=16,color="green",shape="box"];827[label="Succ xv40000",fontsize=16,color="green",shape="box"];828[label="Zero",fontsize=16,color="green",shape="box"];829 -> 818[label="",style="dashed", color="red", weight=0]; 829[label="primPlusNat xv2100 xv40000",fontsize=16,color="magenta"];829 -> 830[label="",style="dashed", color="magenta", weight=3]; 829 -> 831[label="",style="dashed", color="magenta", weight=3]; 830[label="xv40000",fontsize=16,color="green",shape="box"];831[label="xv2100",fontsize=16,color="green",shape="box"];} ---------------------------------------- (6) Complex Obligation (AND) ---------------------------------------- (7) Obligation: Q DP problem: The TRS P consists of the following rules: new_esEs(Right(xv30), Right(xv40), cb, app(app(ty_@2, ce), cf)) -> new_esEs0(xv30, xv40, ce, cf) new_esEs0(@2(xv30, xv31), @2(xv40, xv41), app(app(app(ty_@3, ec), ed), ee), dg) -> new_esEs2(xv30, xv40, ec, ed, ee) new_esEs0(@2(xv30, xv31), @2(xv40, xv41), app(ty_Maybe, eb), dg) -> new_esEs1(xv30, xv40, eb) new_esEs3(:(xv30, xv31), :(xv40, xv41), app(app(ty_Either, bda), bdb)) -> new_esEs(xv30, xv40, bda, bdb) new_esEs0(@2(xv30, xv31), @2(xv40, xv41), eg, app(ty_Maybe, fd)) -> new_esEs1(xv31, xv41, fd) new_esEs2(@3(xv30, xv31, xv32), @3(xv40, xv41, xv42), baf, he, app(app(ty_@2, bcb), bcc)) -> new_esEs0(xv32, xv42, bcb, bcc) new_esEs0(@2(xv30, xv31), @2(xv40, xv41), eg, app(app(ty_Either, eh), fa)) -> new_esEs(xv31, xv41, eh, fa) new_esEs0(@2(xv30, xv31), @2(xv40, xv41), eg, app(app(ty_@2, fb), fc)) -> new_esEs0(xv31, xv41, fb, fc) new_esEs2(@3(xv30, xv31, xv32), @3(xv40, xv41, xv42), app(app(ty_@2, hg), hh), he, hf) -> new_esEs0(xv30, xv40, hg, hh) new_esEs(Left(xv30), Left(xv40), app(app(app(ty_@3, bf), bg), bh), bb) -> new_esEs2(xv30, xv40, bf, bg, bh) new_esEs2(@3(xv30, xv31, xv32), @3(xv40, xv41, xv42), app(ty_Maybe, baa), he, hf) -> new_esEs1(xv30, xv40, baa) new_esEs1(Just(xv30), Just(xv40), app(app(ty_Either, gb), gc)) -> new_esEs(xv30, xv40, gb, gc) new_esEs3(:(xv30, xv31), :(xv40, xv41), app(ty_Maybe, bde)) -> new_esEs1(xv30, xv40, bde) new_esEs3(:(xv30, xv31), :(xv40, xv41), app(ty_[], bea)) -> new_esEs3(xv30, xv40, bea) new_esEs2(@3(xv30, xv31, xv32), @3(xv40, xv41, xv42), app(app(ty_Either, hc), hd), he, hf) -> new_esEs(xv30, xv40, hc, hd) new_esEs2(@3(xv30, xv31, xv32), @3(xv40, xv41, xv42), baf, app(ty_Maybe, bbc), hf) -> new_esEs1(xv31, xv41, bbc) new_esEs2(@3(xv30, xv31, xv32), @3(xv40, xv41, xv42), baf, he, app(ty_[], bch)) -> new_esEs3(xv32, xv42, bch) new_esEs3(:(xv30, xv31), :(xv40, xv41), app(app(ty_@2, bdc), bdd)) -> new_esEs0(xv30, xv40, bdc, bdd) new_esEs2(@3(xv30, xv31, xv32), @3(xv40, xv41, xv42), baf, app(ty_[], bbg), hf) -> new_esEs3(xv31, xv41, bbg) new_esEs2(@3(xv30, xv31, xv32), @3(xv40, xv41, xv42), baf, he, app(ty_Maybe, bcd)) -> new_esEs1(xv32, xv42, bcd) new_esEs2(@3(xv30, xv31, xv32), @3(xv40, xv41, xv42), baf, app(app(app(ty_@3, bbd), bbe), bbf), hf) -> new_esEs2(xv31, xv41, bbd, bbe, bbf) new_esEs(Right(xv30), Right(xv40), cb, app(ty_Maybe, cg)) -> new_esEs1(xv30, xv40, cg) new_esEs0(@2(xv30, xv31), @2(xv40, xv41), app(app(ty_Either, de), df), dg) -> new_esEs(xv30, xv40, de, df) new_esEs2(@3(xv30, xv31, xv32), @3(xv40, xv41, xv42), app(app(app(ty_@3, bab), bac), bad), he, hf) -> new_esEs2(xv30, xv40, bab, bac, bad) new_esEs(Right(xv30), Right(xv40), cb, app(app(ty_Either, cc), cd)) -> new_esEs(xv30, xv40, cc, cd) new_esEs2(@3(xv30, xv31, xv32), @3(xv40, xv41, xv42), baf, app(app(ty_Either, bag), bah), hf) -> new_esEs(xv31, xv41, bag, bah) new_esEs(Right(xv30), Right(xv40), cb, app(app(app(ty_@3, da), db), dc)) -> new_esEs2(xv30, xv40, da, db, dc) new_esEs0(@2(xv30, xv31), @2(xv40, xv41), app(ty_[], ef), dg) -> new_esEs3(xv30, xv40, ef) new_esEs3(:(xv30, xv31), :(xv40, xv41), beb) -> new_esEs3(xv31, xv41, beb) new_esEs0(@2(xv30, xv31), @2(xv40, xv41), eg, app(app(app(ty_@3, ff), fg), fh)) -> new_esEs2(xv31, xv41, ff, fg, fh) new_esEs(Right(xv30), Right(xv40), cb, app(ty_[], dd)) -> new_esEs3(xv30, xv40, dd) new_esEs2(@3(xv30, xv31, xv32), @3(xv40, xv41, xv42), app(ty_[], bae), he, hf) -> new_esEs3(xv30, xv40, bae) new_esEs3(:(xv30, xv31), :(xv40, xv41), app(app(app(ty_@3, bdf), bdg), bdh)) -> new_esEs2(xv30, xv40, bdf, bdg, bdh) new_esEs(Left(xv30), Left(xv40), app(app(ty_Either, h), ba), bb) -> new_esEs(xv30, xv40, h, ba) new_esEs1(Just(xv30), Just(xv40), app(app(ty_@2, gd), ge)) -> new_esEs0(xv30, xv40, gd, ge) new_esEs2(@3(xv30, xv31, xv32), @3(xv40, xv41, xv42), baf, he, app(app(ty_Either, bbh), bca)) -> new_esEs(xv32, xv42, bbh, bca) new_esEs(Left(xv30), Left(xv40), app(ty_Maybe, be), bb) -> new_esEs1(xv30, xv40, be) new_esEs1(Just(xv30), Just(xv40), app(ty_[], hb)) -> new_esEs3(xv30, xv40, hb) new_esEs(Left(xv30), Left(xv40), app(app(ty_@2, bc), bd), bb) -> new_esEs0(xv30, xv40, bc, bd) new_esEs2(@3(xv30, xv31, xv32), @3(xv40, xv41, xv42), baf, he, app(app(app(ty_@3, bce), bcf), bcg)) -> new_esEs2(xv32, xv42, bce, bcf, bcg) new_esEs1(Just(xv30), Just(xv40), app(ty_Maybe, gf)) -> new_esEs1(xv30, xv40, gf) new_esEs0(@2(xv30, xv31), @2(xv40, xv41), app(app(ty_@2, dh), ea), dg) -> new_esEs0(xv30, xv40, dh, ea) new_esEs0(@2(xv30, xv31), @2(xv40, xv41), eg, app(ty_[], ga)) -> new_esEs3(xv31, xv41, ga) new_esEs1(Just(xv30), Just(xv40), app(app(app(ty_@3, gg), gh), ha)) -> new_esEs2(xv30, xv40, gg, gh, ha) new_esEs2(@3(xv30, xv31, xv32), @3(xv40, xv41, xv42), baf, app(app(ty_@2, bba), bbb), hf) -> new_esEs0(xv31, xv41, bba, bbb) new_esEs(Left(xv30), Left(xv40), app(ty_[], ca), bb) -> new_esEs3(xv30, xv40, ca) R is empty. Q is empty. We have to consider all minimal (P,Q,R)-chains. ---------------------------------------- (8) QDPSizeChangeProof (EQUIVALENT) By using the subterm criterion [SUBTERM_CRITERION] together with the size-change analysis [AAECC05] we have proven that there are no infinite chains for this DP problem. From the DPs we obtained the following set of size-change graphs: *new_esEs1(Just(xv30), Just(xv40), app(app(ty_Either, gb), gc)) -> new_esEs(xv30, xv40, gb, gc) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs1(Just(xv30), Just(xv40), app(app(ty_@2, gd), ge)) -> new_esEs0(xv30, xv40, gd, ge) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs3(:(xv30, xv31), :(xv40, xv41), app(app(ty_Either, bda), bdb)) -> new_esEs(xv30, xv40, bda, bdb) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs3(:(xv30, xv31), :(xv40, xv41), app(app(ty_@2, bdc), bdd)) -> new_esEs0(xv30, xv40, bdc, bdd) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs1(Just(xv30), Just(xv40), app(ty_[], hb)) -> new_esEs3(xv30, xv40, hb) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs1(Just(xv30), Just(xv40), app(app(app(ty_@3, gg), gh), ha)) -> new_esEs2(xv30, xv40, gg, gh, ha) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 *new_esEs1(Just(xv30), Just(xv40), app(ty_Maybe, gf)) -> new_esEs1(xv30, xv40, gf) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs3(:(xv30, xv31), :(xv40, xv41), app(app(app(ty_@3, bdf), bdg), bdh)) -> new_esEs2(xv30, xv40, bdf, bdg, bdh) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 *new_esEs3(:(xv30, xv31), :(xv40, xv41), app(ty_Maybe, bde)) -> new_esEs1(xv30, xv40, bde) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs0(@2(xv30, xv31), @2(xv40, xv41), eg, app(app(ty_Either, eh), fa)) -> new_esEs(xv31, xv41, eh, fa) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 *new_esEs0(@2(xv30, xv31), @2(xv40, xv41), app(app(ty_Either, de), df), dg) -> new_esEs(xv30, xv40, de, df) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs0(@2(xv30, xv31), @2(xv40, xv41), eg, app(app(ty_@2, fb), fc)) -> new_esEs0(xv31, xv41, fb, fc) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 *new_esEs0(@2(xv30, xv31), @2(xv40, xv41), app(app(ty_@2, dh), ea), dg) -> new_esEs0(xv30, xv40, dh, ea) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs0(@2(xv30, xv31), @2(xv40, xv41), app(ty_[], ef), dg) -> new_esEs3(xv30, xv40, ef) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs0(@2(xv30, xv31), @2(xv40, xv41), eg, app(ty_[], ga)) -> new_esEs3(xv31, xv41, ga) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 *new_esEs0(@2(xv30, xv31), @2(xv40, xv41), app(app(app(ty_@3, ec), ed), ee), dg) -> new_esEs2(xv30, xv40, ec, ed, ee) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 *new_esEs0(@2(xv30, xv31), @2(xv40, xv41), eg, app(app(app(ty_@3, ff), fg), fh)) -> new_esEs2(xv31, xv41, ff, fg, fh) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4, 4 > 5 *new_esEs0(@2(xv30, xv31), @2(xv40, xv41), app(ty_Maybe, eb), dg) -> new_esEs1(xv30, xv40, eb) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs0(@2(xv30, xv31), @2(xv40, xv41), eg, app(ty_Maybe, fd)) -> new_esEs1(xv31, xv41, fd) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 *new_esEs2(@3(xv30, xv31, xv32), @3(xv40, xv41, xv42), app(app(ty_Either, hc), hd), he, hf) -> new_esEs(xv30, xv40, hc, hd) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs2(@3(xv30, xv31, xv32), @3(xv40, xv41, xv42), baf, app(app(ty_Either, bag), bah), hf) -> new_esEs(xv31, xv41, bag, bah) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 *new_esEs2(@3(xv30, xv31, xv32), @3(xv40, xv41, xv42), baf, he, app(app(ty_Either, bbh), bca)) -> new_esEs(xv32, xv42, bbh, bca) The graph contains the following edges 1 > 1, 2 > 2, 5 > 3, 5 > 4 *new_esEs(Right(xv30), Right(xv40), cb, app(app(ty_Either, cc), cd)) -> new_esEs(xv30, xv40, cc, cd) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 *new_esEs(Left(xv30), Left(xv40), app(app(ty_Either, h), ba), bb) -> new_esEs(xv30, xv40, h, ba) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs2(@3(xv30, xv31, xv32), @3(xv40, xv41, xv42), baf, he, app(app(ty_@2, bcb), bcc)) -> new_esEs0(xv32, xv42, bcb, bcc) The graph contains the following edges 1 > 1, 2 > 2, 5 > 3, 5 > 4 *new_esEs2(@3(xv30, xv31, xv32), @3(xv40, xv41, xv42), app(app(ty_@2, hg), hh), he, hf) -> new_esEs0(xv30, xv40, hg, hh) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs2(@3(xv30, xv31, xv32), @3(xv40, xv41, xv42), baf, app(app(ty_@2, bba), bbb), hf) -> new_esEs0(xv31, xv41, bba, bbb) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 *new_esEs2(@3(xv30, xv31, xv32), @3(xv40, xv41, xv42), baf, he, app(ty_[], bch)) -> new_esEs3(xv32, xv42, bch) The graph contains the following edges 1 > 1, 2 > 2, 5 > 3 *new_esEs2(@3(xv30, xv31, xv32), @3(xv40, xv41, xv42), baf, app(ty_[], bbg), hf) -> new_esEs3(xv31, xv41, bbg) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 *new_esEs2(@3(xv30, xv31, xv32), @3(xv40, xv41, xv42), app(ty_[], bae), he, hf) -> new_esEs3(xv30, xv40, bae) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs2(@3(xv30, xv31, xv32), @3(xv40, xv41, xv42), baf, app(app(app(ty_@3, bbd), bbe), bbf), hf) -> new_esEs2(xv31, xv41, bbd, bbe, bbf) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4, 4 > 5 *new_esEs2(@3(xv30, xv31, xv32), @3(xv40, xv41, xv42), app(app(app(ty_@3, bab), bac), bad), he, hf) -> new_esEs2(xv30, xv40, bab, bac, bad) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 *new_esEs2(@3(xv30, xv31, xv32), @3(xv40, xv41, xv42), baf, he, app(app(app(ty_@3, bce), bcf), bcg)) -> new_esEs2(xv32, xv42, bce, bcf, bcg) The graph contains the following edges 1 > 1, 2 > 2, 5 > 3, 5 > 4, 5 > 5 *new_esEs2(@3(xv30, xv31, xv32), @3(xv40, xv41, xv42), app(ty_Maybe, baa), he, hf) -> new_esEs1(xv30, xv40, baa) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs2(@3(xv30, xv31, xv32), @3(xv40, xv41, xv42), baf, app(ty_Maybe, bbc), hf) -> new_esEs1(xv31, xv41, bbc) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 *new_esEs2(@3(xv30, xv31, xv32), @3(xv40, xv41, xv42), baf, he, app(ty_Maybe, bcd)) -> new_esEs1(xv32, xv42, bcd) The graph contains the following edges 1 > 1, 2 > 2, 5 > 3 *new_esEs(Right(xv30), Right(xv40), cb, app(app(ty_@2, ce), cf)) -> new_esEs0(xv30, xv40, ce, cf) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 *new_esEs(Left(xv30), Left(xv40), app(app(ty_@2, bc), bd), bb) -> new_esEs0(xv30, xv40, bc, bd) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs(Right(xv30), Right(xv40), cb, app(ty_[], dd)) -> new_esEs3(xv30, xv40, dd) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 *new_esEs(Left(xv30), Left(xv40), app(ty_[], ca), bb) -> new_esEs3(xv30, xv40, ca) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs(Left(xv30), Left(xv40), app(app(app(ty_@3, bf), bg), bh), bb) -> new_esEs2(xv30, xv40, bf, bg, bh) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 *new_esEs(Right(xv30), Right(xv40), cb, app(app(app(ty_@3, da), db), dc)) -> new_esEs2(xv30, xv40, da, db, dc) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4, 4 > 5 *new_esEs(Right(xv30), Right(xv40), cb, app(ty_Maybe, cg)) -> new_esEs1(xv30, xv40, cg) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 *new_esEs(Left(xv30), Left(xv40), app(ty_Maybe, be), bb) -> new_esEs1(xv30, xv40, be) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs3(:(xv30, xv31), :(xv40, xv41), app(ty_[], bea)) -> new_esEs3(xv30, xv40, bea) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs3(:(xv30, xv31), :(xv40, xv41), beb) -> new_esEs3(xv31, xv41, beb) The graph contains the following edges 1 > 1, 2 > 2, 3 >= 3 ---------------------------------------- (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(xv2100), Succ(xv40000)) -> new_primPlusNat(xv2100, 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(xv2100), Succ(xv40000)) -> new_primPlusNat(xv2100, 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